Answer:
Not enough info.
Step-by-step explanation:
Not enough information, how big is the fence perimeter wise? What is the shape of the fence? If the fence is square and 2,000 feet long, of course there's room. If its a square fence that's 2 feet long, there is no room at all.
If the area of a square is 64 square centimeters, what's the length of one side? A. 8 cm B. 4 cm C. 32 cm D. 16 cm
Answer:
8
Step-by-step explanation:
So a square is equal on all sides if I'm correct so. The area is pretty much the length x width. So 8 times 8 equals 64.
Hope this helps, have a good day
s = 8cm (Answer A)
Step-by-step explanation:
The area of a square, A, is the square of the length of any one side:
A = s².
If A = 64 cm², then 64 cm² = s².
Taking the square root of both sides yields s = 8cm (Answer A)
Taylor was earning an income of $1,000 a week. Then his income was reduced by 10%. Two months later, his income increases by 10%. How much is Taylor earning, in dollars, after his income increases?
Wouldn't he be making $1,000 a week again? Since it was reduced by 10% but then raised by 10%.....
A container is in the shape of a rectangular prism with a square base. It has a volume of 99 cubic inches and a height of 11 inches. How many softballs with a diameter of 3.8 inches will fit into the container? Use the drop-down menus to explain your answer.
Answer:
A total of zero softballs will fit into the container
Step-by-step explanation:
step 1
Find the dimensions of the base of the prism
we know that
The volume of the prism is equal to
[tex]V=Bh[/tex]
where
B is the area of the base
h is the height of the prism
In this problem we have
[tex]V=99\ in^{3}[/tex]
[tex]h=11\ in[/tex]
substitute in the formula and find the area of the base B
[tex]99=B(11)[/tex]
[tex]B=99/11=9\ in^{2}[/tex]
the length side of the square base is the square root of the area
so
[tex]\sqrt{9}=3\ in[/tex]
we have that
The diameter of the softball 3.8 inches will fit (11/3.8=2.89 ) 2 times in the length of the container
The diameter of the softball 3.8 inches will fit 0 times in the width of the container
so
A total of 0 times of softballs will fit in the width of the container
therefore
A total of zero softballs will fit into the container
Answer:
Zero softballs with a diameter of 3.8 inches will fit into the container as length of the container is less the diameter of the softball.
Zero softballs can fit in length and zero softballs will fit in width.
Step-by-step explanation:
Length of the square base in rectangular pyramid = s
Breadth of the square base in rectangular pyramid = s
Height of the square base in rectangular pyramid ,l = 11 inches
Volume of the square base in rectangular pyramid ,V=[tex]99 inches^3[/tex]
Volume of the cuboid = l × b × w
V= s × s × l
[tex]99 inches^3=s^2\times 11 inches[/tex]
s = 3 inches
Softballs with a diameter of 3.8 inches.
But the length of the container is less the diameter of the softball which means not even single ball will not be able to get into the container. So zero softballs can fit in length and zero softballs will fit in width.
Mia has 7/8 ponds of bird food. She puts an equal portion into 4 bird feeders how much bird food in pounds does she put into each bird feeder
Answer:
B
Step-by-step explanation:
first you wanna multiply and sehow many mutiplesof 4 will go into 8.
The equal amount of bird food put into the 4 feeders is 7 / 32 pounds.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Mia has 7/8 pounds of bird food. She puts an equal portion into 4 bird feeders.
The amount of bird food for each feeder will be calculated as,
Bird food = (7/8) / (4)
Bird food = [ 7/ (8 x 4 )]
Bird food = 7 / 32 pounds
Therefore, the equal amount of bird food put into the 4 feeders is 7 / 32 pounds.
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Determine the graph of the polar equation r =6/2-2cos theta
(picture provided)
Answer:
Choice D is correct
Step-by-step explanation:
The first step is to write the polar equation of the conic section in standard form by dividing both the numerator and the denominator by 2;
[tex]r=\frac{3}{1-cos(theta)}[/tex]
The eccentricity of this conic section is thus 1, the coefficient of cos θ. Thus, this conic section is a parabola since its eccentricity is 1.
The value of the directrix is determined as;
d = k/e = 3/1 = 3
The denominator of the polar equation of this conic section contains (-cos θ) which implies that this parabola opens towards the right and thus the equation of its directrix is;
x = -3
Thus, the polar equation represents a parabola that opens towards the right with a directrix located at x = -3. Choice D fits this criteria
Niu has decorated xxx cards. He started with 242424 stickers, and he used 444 stickers per card. Which expressions can we use to describe how many stickers Niu has left?
Answer:
The required expression is 24 - 4x
Step-by-step explanation:
Given,
Initial number of stickers she has = 24,
Also, the number of stickers she used for a card = 4,
⇒ the number of stickers she used for x cards = 4x,
So, the number of stickers she left after decorating x cards = Initial number of stickers - the number of stickers used for x cards,
= 24 - 4x
Which is the required expression.
Help me with #32 develop an inverse relationship and graph it on the graph
Step-by-step explanation:
Inverse is x · y = k
Since k = 20, then you are looking for x,y coordinates whose product is 20.
Answer:
The following are possible solutions:
[tex]\left\begin{array}{c|c|c}\underline{\quad x\quad }&\underline{\quad y\quad }&\underline{\qquad k\qquad }\\1&20&1\cdot 20=20\\2&10&2\cdot 20=20\\4&5&4\cdot 5=20\\10&2&10\cdot 2=20\\20&1&20\cdot 1=20\end{array}\right[/tex]
(See attached for graph)
A point is on a circle if the difference from the center of the circle to the point is equal to the
it should be the radius
Julio is lifting weights. He wants to have 210 pounds on the bar. How many 15-pound weights should he put on the bar?
Answer: 14 15-pound weights
Step-by-step explanation:
15 × 14= 210
Julio should put 14 fifteen-pound weights on the bar to achieve a total weight of 210 pounds.
Julio wants to have a total of 210 pounds on the barbell. Since each weight he will add is 15 pounds, we simply need to divide the total desired weight by the weight of one plate to determine the number of plates required.
Here is the calculation:
Divide 210 pounds by 15 pounds per weight.210 \/ 15 = 14.Therefore, Julio should put 14 fifteen-pound weights on the bar to reach a total of 210 pounds.
according to the graph, what is the value of the constant in the equation below? apex
Answer:
Option B. 36
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
The graph of the figure represent an inverse variation
so
In this problem
Constant=Height*Width
Take any point in the graph
example -----> the point (4,9)
Constant=4*9=36
At this rate, would a person your age (18 years old) have contributed a ton of garbage? On average, how long does it take for each person to throw away a ton, or 2000 pounds of garbage?
Answer: Yes. On average, it takes about 455 days for 1 person to throw away 1 ton of garbage, so just over 1 year.
Step-by-step explanation: The average person throws away 4.4 pounds of trash daily. So, the way to figure this out is 2,000 divided by 4.4 to find out the number of days it would take to throw away 2,000 pounds of trash.
Sketch a graph y = |x – 3| – 2 and describe the translations.
Answer:
Shifted horizontally to the right 3 units, and shifted vertically down 2 units
Step-by-step explanation:
The parent graph of this equation is y = |x|
There are 2 translations to this graph for the equation y = |x - 3| - 2
The "x - 3" part shifts the graph to the right 3 units
The -2 shifts the graph vertically down 2 units
See below for the parent graph, and the graph of the equation we are working with
The graph of function y = |x - 3| - 2 is shown in figure.
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
The equation is,
⇒ y = |x - 3| - 2
Now,
Since, The equation is,
⇒ y = |x - 3| - 2
Clearly, The equation y = |x - 3| - 2 is the translation of y = |x| with 3 units right and 2 units up.
Thus, The graph of function y = |x - 3| - 2 is shown in figure with 3 units right and 2 units up translation of y = |x|.
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Which shows the correct way to evaluate 10 × 4 – (5 – 3) + 2? 10 × 4 – (5 – 3) + 2 10 × 4 – (2 + 2) 10 × 4 – 4 10 × 0 0 10 × 4 – (5 – 3) + 2 10 × 4 – (2 + 2) 10 × 4 – 4 40 – 4 36 10 × 4 – (5 – 3) + 2 10 × 4 – 2 + 2 10 × 2 + 2 20 + 2 22 10 × 4 – (5 – 3) + 2 10 × 4 – 2 + 2 40 – 2 + 2 38 + 2 40
Answer:
10 × 4 – (5 – 3) + 2
10 × 4 – 2 + 2
40 – 2 + 2
38 + 2
40
Step-by-step explanation:
To solve;
10 × 4 – (5 – 3) + 2
We use BODMAS
We start by removing brackets, to get
10 × 4 – 2 + 2
Then we proceed to multiplication to get;
40 – 2 + 2
Then subtraction to get;
38 + 2
The answer is 40
The correct answer to evaluate is 10 × 4 – (5 – 3) + 2 is 40
What is the evaluationThe correct way to evaluate the expression 10 × 4 – (5 – 3) + 2 is as follows:
10 × 4 – (5 – 3) + 2
= 40 – (5 – 3) + 2
= 40 – 2 + 2
= 38 + 2
= 40
Therefore, the correct evaluation is 40.
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Find the area of the regular polygon below. leave your answer in simplest radical form.
Answer:
384√3 in²
Step-by-step explanation:
Given in the question a regular 6 sided polygon
To find it's area you have to use the following formula
1/2 x perimeter x apothemPerimeter = the sum of the lengths of all the sides
Suppose length of one side = x
Apothem = a segment that joins the polygon's centre to the midpoint of any side that is perpendicular to that side = 8√3
Since the polygon have 6 sides so
perimeter = 6x
x = 2(8√3)/√3x = 2(8)
x = 16
perimeter = 6(16) = 96 in
plug values in the formula of area
1/2 x 96 x 8√3384√3 in²
Answer:
= 384√3 In²
Step-by-step explanation:
The polygon is a hexagon ; thus the angle subtended by each side at the center will be given by;
θ = 360/6
= 60°
Therefore; we can calculate the length of each side;
Tan θ = opp/Adj
Tan θ = x /8√3
Tan 30 = x /8√3
Therefore; 1/√3 =x /8√3
x = 8√3× 1/√3
= 8
The length of each side is 8 × 2 = 16 In
The area of the polygon will be;
Area of one triangle multiplied by the number of a triangle;
= 1/2 × 16 × 8√3 ×6
= 384√3 In²Find the polar equation of the conic with the focus at the pole, directrix y = -6, and eccentricity 4 (picture provided)
Answer:
Choice B is correct
Step-by-step explanation:
The eccentricity of the conic section is given as 4 and thus the conic section is a hyperbola. Hyperbolas are the only conic sections with an eccentricity greater than 1.
Next, the directrix of this hyperbola is located at y = -6 implying that the hyperbola will be opening upwards. Consequently, the polar equation of this hyperbola will be of the form;
[tex]r=\frac{k}{1-4sin(theta)}[/tex]
The value of k in the numerator is the product of eccentricity and the absolute value of the directrix;
k= 4*6 = 24
The polar equation is thus given by alternative B
Answer:
b on edge
Step-by-step explanation:
A father is four times as old as his son. In 4 years, the father will be three times as old as the son. How old is each now?
Answer:
M = 4S
In three years
M + 3 = 3(S + 3)
So you put the 4S in to substitute for the M.
4S + 3 = 3(S + 3)
4S + 3 = 3S + 9
S = 6
If the son is 6, the father must be 24.
We can check this by adding three to both ages. Then, the son will be 9 and the father will be 27, which is three times 9.
Step-by-step explanation:
Select the correct answer from each drop-down menu. Determine the dependence between the quantities for the given graph.
The cost per package depends on the weight of the package.
Step-by-step explanation:We know that a dependent variable is one which depends on some other variable or the value of the variable is calculated corresponding to the independent variable.
Generally we consider the values on the y-axis or the vertical axis as the dependent values because they are dependent upon the x-value or the value on the horizontal axis.
Here from the graph we may observe that the cost of the package depends on the weight of the package.
The cost per package depends on the weight of the package.
We know that a dependent variable is one which depends on some other variable or the value of the variable is calculated corresponding to the independent variable.
Generally we consider the values on the y-axis or the vertical axis as the dependent values because they are dependent upon the x-value or the value on the horizontal axis.
Here from the graph we may observe that the cost of the package depends on the weight of the package.
What is accurate about the scientific results learned by counting tree rings? Study of tree rings and associated geology shows that the Earth is 12,000 years old, but no older. Study of tree rings and associated geology shows that the Earth is exactly 12,429 years old. Study of tree rings by themselves shows that the Earth is 4.6 billion years old. Study of tree rings and associated geology shows that the Earth is more than 12,429 years old. Study of tree rings and associated geology proves that the Earth is 5,000 years old, but no older.
Answer:
The correct answer is "Study of tree rings and associated geology shows that the Earth is more than 12,429 years old"
Step-by-step explanation:
While tress have been growing long enough to prove the earth is more than 12,000 years old, it is not able to prove much longer than that. Luckily geology is able to show is that Earth is over 4.6 billions years old. As a result, the above is the only true statement.
The age of the Earth is approximately 4.5 billion years, as determined by radioactive dating methods and supported by other geological evidence. Although not directly determining the Earth's age, the study of tree rings provides valuable information about climate conditions in specific periods.
Explanation:The scientific study of tree rings, known as dendrochronology, can provide valuable information about the Earth's climate in different periods. However, it doesn't directly determine the overall age of the Earth.
Conversely, radioactive dating methods, like uranium-238 dating or rubidium-strontium dating, have been used to determine the Earth's age by dating the oldest rocks and minerals on Earth's crust. For example, the Jack Hills zircons from Australia were found by uranium-lead dating to be nearly 4.4 billion years old.
Using these dating methods in connection with the study of tree rings and other geological evidence, scientists have estimated that the age of the Earth is approximately 4.5 billion years.
This age is significantly older than what could be derived from tree rings alone, as the oldest living trees, like the Methuselah tree, are estimated to be just over 4,800 years old.
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The base of a regular pyramid is a hexagon.
What is the area of the base of the pyramid?
Express your answer in radical form.
Answer:
96sqrt(3)
Step-by-step explanation:
Simplest and most intuitive way is to find area of 1 triangles and multiply it by 6.
Area of one triangle:
base = 8 and a = 4sqrt(3)
Area of 1 trangle = ba/2
Area of base of hexagon = 6 times that.
Please answer this question, will give brainliest!
Answer:
10.1
Step-by-step explanation:
i divided the numbers now mark brainliest if its wrong or right
Find the midpoint of the chord:
9 / 2 = 4.5 cm
Now we can find the radius:
Radius = √(4.5^2 + 3.7^2)
Radius = √(20.25 + 13.69)
Radius = √33.94
Radius = 5.8 cm
PLZ HURRY Part A:
Find the measure of the following angles:
<1
<2
<3.
Show your work to justify your answers. Earn up to 1 point for each missing angle with the correct answer and work shown.
Part B:
Answer the following question in 1-2 complete sentences. How is the measure of <1 and the measure of <2 related to the exterior 123° angle?
Answer:
<1:88
<2:65
<3:115
Step-by-step explanation:
Since we know that a line and the inside of a triangle equals 180 than we can use that to identify the missing angles.Using what we know about a line we can subtract 92 from 180 and we get 88, knowing that angle 1(<1)is the only angle that rest on that line than we know that <1 is 88.(to check this you can add 92 plus 88 and you get 180)Then switching hands,we can now figure out the interior missing angle 2(<2).There are two ways you can do this,Add all the interior angles together and then subtract from 180(88+57=145 then 180-145=35)or you can subtract all the known interior angles and then the answer is your missing angle(180-57-88=35).Now switching again, in order to find <3 then you have to find which number falls on the angle which we are looking for.Which would be 35 or <2.Now all you have to do is subtract 180-35=145
Part B:
I agree with the other person below⬇⬇⬇
Answer:
Step-by-step explanation:
(A) From the given figure, we have
[tex]{\angle}1+92^{\circ}=180^{\circ}[/tex] (Linear pair)
⇒[tex]{\angle}1=180^{\circ}-92^{\circ}[/tex]
⇒[tex]{\angle}1=88^{\circ}[/tex]
Thus, the measure of [tex]{\angle}1[/tex] is [tex]88^{\circ}[/tex].
Also, using the angle sum property in the given triangle, we get
[tex]{\angle}1+{\angle}2+57^{\circ}=180^{\circ}[/tex]
⇒[tex]88^{\circ}+{\angle}2+57^{\circ}=180^{\circ}[/tex]
⇒[tex]{\angle}2+145^{\circ}=180^{\circ}[/tex]
⇒[tex]{\angle}2=35^{\circ}[/tex]
Thus, the measure of [tex]{\angle}2[/tex] is [tex]35^{\circ}[/tex].
And, [tex]{\angle}2+{\angle}3=180^{\circ}[/tex]
⇒[tex]35^{\circ}+{\angle}3=180^{\circ}[/tex]
⇒[tex]{\angle}3=145^{\circ}[/tex]
Thus, the measure of [tex]{\angle}3[/tex] is [tex]145^{\circ}[/tex].
(B) Exterior angle theorem states that the exterior angle is equal to the sum of the two interior angles, thus from the given figure, we have
[tex]{\angle}1+{\angle}2=123^{\circ}[/tex]
Therefore, the relationship between the measure of [tex]{\angle}1[/tex] and [tex]{\angle}2[/tex] to exterior angle is [tex]{\angle}1+{\angle}2=123^{\circ}[/tex].
PLEASE HELP ME ASAAAAAPPPPPPPPPPPP PLEASE HELP ME FAST What is 5 x 2/3 ? A) 3 1/3 B) 3 2/5 C) 5 2/3 D) 10/15
Answer:
A) 3 1/3
Step-by-step explanation:
5 x 2 = 10
10/3= 3 with a remainder of 1. That gives you 3 1/3
Answer:
Step-by-step explanation:
IF you calculate it right it is 3.3333333 or 3 1/3
Question 1(Multiple Choice Worth 2 points) Find the derivative of f(x) = 7 divided by x at x = 1.
-7
-1
1
7
Question 2(Multiple Choice Worth 2 points) Find the derivative of f(x) = 4x + 7 at x = 5.
4
1
5
7
Question 3(Multiple Choice Worth 2 points) Find the derivative of f(x) = 12x2 + 8x at x = 9.
256
-243
288
224
Question 4(Multiple Choice Worth 2 points) Find the derivative of f(x) = negative 11 divided by x at x = 9.
11/9
81/11
9/11
11/81
Question 5 (Essay Worth 2 points) The position of an object at time t is given by s(t) = 1 - 10t. Find the instantaneous velocity at t = 10 by finding the derivative.
Answer:
Step-by-step explanation:
Question 1:
For this case we must find the derivative of the following function:
[tex]f (x) = \frac {7} {x}[/tex] evaluated at [tex]x = 1[/tex]
We have by definition:
[tex]\frac {d} {dx} [x ^ n] = nx ^ {n-1}[/tex]
So:
[tex]\frac {df (x)} {dx} = - 1 * 7 * x ^ {- 1-1} = - 7x ^ {- 2} = - \frac {7} {x ^ 2}[/tex]
We evaluate in [tex]x = 1[/tex]
[tex]- \frac {7} {x ^ 2} = - \frac {7} {1 ^ 2} = - 7[/tex]
ANswer:
Option A
Question 2:
For this we must find the derivative of the following function:
[tex]f (x) = 4x + 7\ evaluated\ at\ x = 5[/tex]
We have by definition:
[tex]\frac {d} {dx} [x ^ n] = nx ^ {n-1}[/tex]
The derivative of a constant is 0
So:
[tex]\frac {df (x)} {dx} = 1 * 4 * x ^ {1-1} + 0 = 4 * x ^ 0 = 4[/tex]
Thus, the value of the derivative is 4.
Answer:
Option A
Question 3:
For this we must find the derivative of the following function:
[tex]f (x) = 12x ^ 2 + 8x\ evaluated\ at\ x = 9[/tex]
We have by definition:
[tex]\frac {d} {dx} [x ^ n] = nx ^ {n-1}[/tex]
So:
[tex]\frac {df (x)} {dx} = 2 * 12 * x ^ {2-1} + 1 * 8 * x ^ {1-1} = 24x + 8 * x ^ 0 = 24x + 8[/tex]
We evaluate for [tex]x = 9[/tex]we have:
[tex]24 (9) + 8 = 224[/tex]
Answer:
Option D
Question 4:
For this we must find the derivative of the following function:
[tex]f (x) = - \frac {11} {x}\ evaluated\ at\ x = 9[/tex]
We have by definition:
[tex]\frac {d} {dx} [x ^ n] = nx ^ {n-1}[/tex]
So:
[tex]\frac {df (x)} {dx} = - (- 1 * 11 * x ^ {- 1-1}) = 11x ^ {- 2} = \frac {11} {x ^ 2}[/tex]
We evaluate for [tex]x = 9[/tex] and we have:
[tex]\frac {11} {9 ^ 2} = \frac {11} {81}[/tex]
ANswer:
Option D
Question 5:
For this case we have by definition, that the derivative of the position is the velocity. That is to say:
[tex]\frac {d (s (t))} {dt} = v (t)[/tex]
Where:
s: It's the position
v: It's the velocity
t: It's time
We have the position is:
[tex]s (t) = 1-10t[/tex]
We derive:
[tex]\frac {d (s (t))} {dt} = 0- (1 * 10 * t ^ {1-1}) = - 10 * t ^ 0 = -10[/tex]
So, the instantaneous velocity is -10
Answer:
-10
"Which number can be inserted in the parentheses so the numbers are ordered from least to greatest?" -3,(),-1 1/8 A. -3 1/2 B. 0 C. -2 1/4 D 1 1/2
Answer:
Option C
Step-by-step explanation:
The first number is - 3, then we have a blank and the third number is - 1 1/8
In order for the numbers to be arranged from least to greatest, the number in the center should be greater than -3, and lesser than -1 1/8
Note that for negative numbers, the larger the constant, the smaller the number. i.e. -5 is smaller than -4.
So from the given options, the only number that is greater than -3 and lesser than -1 1/8 is - 2 1/4
So, option C gives us the correct answer to have the numbers ordered from least to greatest.
What are the values of the variables in the triangle below? if the answer is not an integer, leave it in simplest radical form. the diagram is not drawn to scale
Answer:
x = 69 and y = [tex]23\sqrt{3}[/tex]
Step-by-step explanation:
Firstly the hypotenuse is the side opposite the 90 degree angle. So hypotenuse is [tex]46\sqrt{3}[/tex]
Since the angle given is 30 degree, with respect to this angle, the side length y is opposite and the side length x is adjacent.
Now, we can use trigonometric ratios to solve for x and y. Sine is defined as [tex]sin\theta=\frac{Opposite}{Hypotenuse}[/tex] and Cos is defined as [tex]Cos\theta=\frac{Adjacent}{Hypotenuse}[/tex]
Hence, we can write:
[tex]Sin(30)=\frac{y}{46\sqrt{3} }\\y=46\sqrt{3}*Sin30 \\y=46\sqrt{3}*\frac{1}{2}\\y=23\sqrt{3}[/tex]
Also, we can figure out:
[tex]Cos(30)=\frac{x}{46\sqrt{3} }\\Cos(30)*46\sqrt{3}=x\\ x=\frac{\sqrt{3} }{2}*46\sqrt{3} \\x=\frac{46*3}{2}\\x=69[/tex]
2nd answer choice is right.
ANSWER
[tex]x = 69,y = 23 \sqrt{3} [/tex]
EXPLANATION
Recall and use the mnemonics SOH CAH TOA.
We use the cosine ratio to find x.
[tex] \cos(30 \degree) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \cos(30 \degree) = \frac{x}{46 \sqrt{3} } [/tex]
[tex] \frac{ \sqrt{3} }{2} = \frac{x}{46 \sqrt{3} } [/tex]
Cross multiply,
[tex]2x = 46 \sqrt{3} \times \sqrt{3} [/tex]
[tex]2x = 46(3)[/tex]
[tex]x = 23(3)[/tex]
[tex]x = 69[/tex]
We use the sine ratio, to find y.
[tex] \sin(30 \degree) = \frac{opposite}{hypotenuse} [/tex]
[tex]\sin(30 \degree) = \frac{y}{46 \sqrt{3} } [/tex]
[tex] \frac{1}{2} = \frac{y}{46 \sqrt{3} } [/tex]
Solve for y.
[tex] \frac{1}{2} \times 46 \sqrt{3} = y[/tex]
[tex]23 \sqrt{3} = y[/tex]
Therefore,
[tex]x = 69,y = 23 \sqrt{3} [/tex]
The length of a rectangle is 12 in. and the perimeter is 56 in. Find the width of the rectangle.
Answer:
W = 16 in
Step-by-step explanation:
P = 2L + 2W
56 = 2(12) + 2W
56 = 24 + 2W
56-24 = 2W
32 = 2W
W = 32/2
W = 16 in
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Complete the square to transform the quadratic equation into the form (x – p)2 = q. X2 - 8x - 10 = 18 A) (x - 8)2 = 14 B) (x - 4)2 = 44 C) (x - 8)2 = -14 D) (x - 4)2 = -44
Answer:
Option B. [tex](x-4)^{2}=44[/tex]
Step-by-step explanation:
we have
[tex]x^{2}-8x-10=18[/tex]
Group terms that contain the same variable, and move the constant to the opposite side of the equation
[tex]x^{2}-8x=18+10[/tex]
[tex]x^{2}-8x=28[/tex]
Complete the square. Remember to balance the equation by adding the same constants to each side
[tex]x^{2}-8x+16=28+16[/tex]
[tex]x^{2}-8x+16=44[/tex]
Rewrite as perfect squares
[tex](x-4)^{2}=44[/tex]
Answer:
b
Step-by-step explanation:
Please help me out :)
79-y=2y+22
Add y on both sides
79=3y+22
Subtract 22 from both sides
57=3y
Divide by 3 on both sides
19=y
If a sphere's volume is doubled, what is the corresponding change in its radius? A. The radius is increased to 20 times the original size. B. The radius is increased to 4 times the original size. C. The radius is increased to 2 times the original size. D. The radius is increased to 8 times the original size
Answer:
The radius is increased by 1.2599 times the original size.
Step-by-step explanation:
The volume is 3 dimensional whereas the radius is one dimensional.
Therefore the factor for the radius will be the cube root of the factor for the volume.
So the radius is increased by 1.2599.
Plz help me
WILL GIVE BRAINLIEST
Factor 3x^3−12x
3x^3−12x
=3x(x+2)(x−2)
Answer:
3x(x+2)(x−2)
3x^3 - 12x //Common factor: 3x
3x (x^2 - 4)
3x (x - 2) (x + 2)
Answer: C
//Hope this helps.