Answer:
Hello, Your answer will be,D) 132cm²
Hope That Helps! And if you find this answer helpful you can give me a brainleist!
Angle m and angle n are supplementary angles. If the measure of angle M= 5x+18 and the measure of angle N= 3x+2, find the value of x, and the measure of angle M
Answer:
Step-by-step explanation:
∠ M + ∠N = 180 {supplementary}
5x+18 + 3x + 2 = 180 {Now add the like terms}
8x + 20 = 180
8x = 180 - 20
8x = 160
x = 160/8
x = 20
∠M = 5x + 18 = 5*20 + 18 = 100 + 18 = 118
∠N = 3x + 2 = 3*20 + 2 = 60 + 2 = 62
Slope of the line passing through the points (-3,3) and (5,9)
Answer:
m=3/4
Step-by-step explanation:
Slope is equal to the change in y over the change in x, or rise over run.
m=change in y/change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m=y2−y1/x2−x1
Substitute in the values of x and y into the equation to find the slope.
m=9−(3)/5−(−3)
Simplify.
m=3/4
The slope of the line passing through the points (-3,3) and (5,9) is 3/4
The formula for calculating the slope of a line is expressed as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
Given the coordinate (-3,3) and (5,9), substitute the coordinates into the formula as shown below;
[tex]m=\frac{9-3}{5-(-3)}\\m=\frac{6}{5+3} \\m=\frac{6}{8}\\m=\frac{3}{4}[/tex]
Hence the slope of the line passing through the points (-3,3) and (5,9) is 3/4
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six episodes of a tv series last total of five hours, How many minutes on average does an episode last
Step-by-step explanation:
[tex]5 \: hours \: = 5 \times 60 = 300 \: min \\ minutes \: per \: episode = \frac{300}{6} \\ = 50 \\ [/tex]
Hence, each episode lasted for 50 minutes on an average.
On average, each episode of the TV series lasts 50 minutes, calculated by converting the total viewing time of five hours to 300 minutes and dividing that by the number of episodes, which is six.
To calculate the average duration of an episode, we need to convert the total time of all episodes from hours to minutes and then divide by the number of episodes.
There are 60 minutes in one hour, so five hours equates to 300 minutes (5 hours × 60 minutes/hour = 300 minutes). With six episodes in total, we divide the total minutes by the number of episodes to find the average length of one episode.
300 minutes / 6 episodes = 50 minutes per episode.
Therefore, on average, each episode of the TV series lasts 50 minutes.
Divide the number in the thousands place by itself and then multiply the answer by 0. Write your answer in the tenths place
To divide the number in the thousands place by itself and then multiply the answer by 0, we can follow a simple process. Let's consider an example where the number in the thousands place is 5. Dividing 5 by 5 gives us 1. Multiplying 1 by 0 gives us 0, which is the answer in the tenths place.
Explanation:To divide the number in the thousands place by itself, we can consider a specific number for better understanding. Let's say the number in the thousands place is 5. Dividing 5 by 5 gives us 1. To find the answer in the tenths place, we need to multiply 1 by 0. The product of 1 and 0 is 0. Therefore, the answer in the tenths place is 0.
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A cone with height 8 and radius 2 is sliced halfway along its height by a plane that is parallel to the base of the cone. What is the radius of the circle at the intersection of the plane and the cone?
Answer:
1
Step-by-step explanation:
The cone is sliced by a plane, which produces a smaller cone on top. This cone is similar to the original cone. Therefore:
R / H = r / h
2 / 8 = r / 4
r = 1
The radius of the circle at the intersection of the plane and the cone is 1.
To find the radius of the circle at the intersection of the plane and the cone, we start by understanding the geometry of the cone and the slicing plane.
Given:
- Cone height ( h = 8 )
- Cone radius ( r = 2 )
- The plane slices the cone halfway along its height, so the distance from the vertex to the plane is [tex]\( \frac{8}{2} = 4 \)[/tex].
Let's denote:
- ( R ): Radius of the circle at the intersection of the plane and the cone.
At height ( h ) from the vertex of the cone, the radius ( R ) of the circle formed by the intersection with the plane is related to the similar triangles formed by the cone and the slice plane.
The ratio of corresponding sides of similar triangles gives us:
[tex]\[ \frac{R}{r} = \frac{h - 4}{h} \][/tex]
Substitute the given values:
[tex]\[ \frac{R}{2} = \frac{8 - 4}{8} = \frac{4}{8} = \frac{1}{2} \][/tex]
Now, solve for ( R ):
[tex]\[ R = 2 \cdot \frac{1}{2} = 1 \][/tex]
Therefore, the radius of the circle at the intersection of the plane and the cone is [tex]\( \boxed{1} \).[/tex]
Mrs.Roberts charges 25 for a basic cake that serves 12 people. If you want a large cake, it costs an additional $1.25 per serving. Write equation for the total cost or a cake, where y represents total cost and x represents the number of additional servings. How much would a cake that serves 20 people cost?
The total cost of a cake that serves 20 people is $35.
Step-by-step explanation:
Total cost = yNumber of additional servings = xThe number of additional servings = 20 - 12 = 8. (x=8)The equation can be formed as:
Total cost = basic cost + (No. of additional serving [tex]\times[/tex] cost per additional serving)y = 25 + x1.25Substitute x=8 in the above equationy = 25 + 8(1.25)y =25+10y = 35Therefore, the total cost of a cake that serves 20 people is $35.
solve the equation : -20=-4x-6x
Answer: 2
Step-by-step explanation:
So first combine like terms, -4x-6x= -10x. Then to isolate x by itself, divide both sides by -10 and get 2=x.
Answer:
x=2
Step-by-step explanation:
-20=-4x-6x
In this kind of question, ensure that you collect like terms especially when they are scattered that is not well arranged...
But the question given is straight forward so there is no need to collect like terms...but to solve directly,
-20=-4x-6x
-20=-10x
Divide both sides by -10
x=2
The perimeter of a rectangle is 15x + 17y
If the length is 7/2x + 7y then find the width of the rectangle.
Answer choices:
A. 4x + 3/2y
B. 8x + 3y
C. 8x + 10y
D. 4x + 3y
The width of the rectangle, given its perimeter and length, is calculated using the formula for the perimeter of a rectangle. By reorganizing the terms and isolating the width, we find that the width is 4x + 3/2y, which is Answer Choice A.
Explanation:The perimeter of a rectangle is given as 15x + 17y. The length is provided as 7/2x + 7y. To find the width, we need to remember that the perimeter of a rectangle is twice the sum of its length and width (P = 2l + 2w). Let's denote the width of the rectangle as 'w'.
So, the equation representing the perimeter is:
15x + 17y = 2(7/2x + 7y) + 2w
Now let's multiply out the factors on the right side:
15x + 17y = 2(7/2x) + 2(7y) + 2w
15x + 17y = 7x + 14y + 2w
To find 'w', we need to move all terms involving 'w' to one side of the equation and all other terms to the other side:
2w = 15x + 17y - (7x + 14y)
2w = 15x - 7x + 17y - 14y
2w = 8x + 3y
Divide throughout by 2 to find 'w':
w = 4x + 3/2y
The width of the rectangle is 4x + 3/2y, which corresponds to Answer Choice A.
The formula for the surface area of a cube is S 5 6x2
where x is the length of one side. Find the length of the
side of a cube with a surface area of 150 square inches.
What is the unit rate 1/2÷$1.25
Answer:
0.4 U.S dollars-4 I guess
Which number line best shows how to solve -4-(-8)
Answer:
The first point should be plotted at -4, then there should be a line that goes up 8 units and gives us a final destination of 4.
How long is AB please explain how you answered
Answer:
AB = [tex]4\sqrt{3}[/tex]
Step-by-step explanation:
30-60-90 theorem, usually x is used to explain but I will use y since x is in your problem, just substitute any variable for y
in a 30 -60 -90 triangle
the length opposite the 30 degrees is y
the length opposite the 60 degrees is y[tex]\sqrt{3}[/tex]
the length opposite the 90 degrees is 2y
since y[tex]\sqrt{3}[/tex] = 6
y = 6/[tex]\sqrt{3}[/tex]
rationalizing the denominator
[tex]\frac{6}{\sqrt{3} } *\frac{\sqrt{3}}{\sqrt{3}}[/tex] = [tex]\frac{6\sqrt{3} }{3} = 2\sqrt{3}[/tex]
if y = [tex]2\sqrt{3}[/tex], 2y = [tex]4\sqrt{3}[/tex]
In a random sample, 3 out of 400 computer chips are defective. How many chips out of 100000 would be defective?
Answer: x =750
Step-by-step explanation:
Well you just make 3 and 400 a fraction 3/400 and 100,000 and the unknown number a fraction x/100,000. Now you do :
3/400=x/100,000
and figure that out :
3/400=x/100,000
3/400=x/100,000
(3)*(100000)=x*(400)
300000=400x
400x=300000
400x/400=300000/400
x=750 is your answer.
3/400=750/100,000.
Hoped I helped!
Which expression is equivalent to (18x + 9k) + (2x + 6k)? 16 x + 3 k 20 x + 15 k 20 x + 16 k 36 x + 54 k. Need it soon. Thx!
Answer: 20x + 15k
Step-by-step explanation:
Lose the parentheses and add the like terms. Add 18x and 2x, then add 9k and 6k. That's all there is to it.
The equivalent expression of (18x + 9k) + (2x + 6k) is 20x + 15k.
The correct option is A.
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
We have an expression,
(18x + 9k) + (2x + 6k).
To find the equivalent expressions:
Simplifying,
(18x + 9k) + (2x + 6k),
= 20x + 15k
This is the equivalent expression.
Therefore, 20x + 15k is the equivalent expression.
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You jump off a 24 foot high cliff and your fall is modeled by the function:
h(t) = -16t2 + 8t + 24
When would you reach 16 feet above the water?
A. 1/4 second
B. 1 second
C. 1/2 second
D. 8 seconds
Answer: B) 1 second
Step-by-step explanation:
plug 16 (final height) into the equation given:
16=-16t^2+8t+24, and solve for t.
x will equal -1/2 or 1
disregard the negative because you can’t have time.
To reach 16 feet above the water, you would reach that height after approximately 1/2 second. Option C
To find when you would reach 16 feet above the water, set the function h(t) equal to 16 and solve for t:
-16t2 + 8t + 24 = 16
Combine like terms to get:
-16t2 + 8t + 8 = 0
Now, you can use the quadratic formula to solve for t:
t = (-b ± √(b2 - 4ac)) / (2a)
Plug in the values of a, b, and c from the equation:
t = (-8 ± √(82 - 4(-16)(8))) / (2(-16))
Simplify the expression inside the square root and solve for t to get the answer:
t ≈ 1/2 second
Option C
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Solve.
The answer must be a fraction. Solve by substituting.
Answer: x = -14/5
Step-by-step explanation: We shall begin by expanding the brackets for both sides of the equation
-2/3 (x + 2) = 1/6 (x + 6)
(-2x/3) -4/3 = (x/6) + 1
By collecting like terms we now have
(-2x/3) - (x/6) = 1 + 4/3
(-4x - x)/6 = 7/3
-5x/6 = 7/3
By cross multiplication we now have
-5x (3) = 7 (6)
-15x = 42
x = -(42/15) {simplify further by dividing the RHS by 3}
x = -14/5
Therefore x equals, minus fourteen over five (-14/5)
Which expression is equivalent to 30 divided by (3+x )
The expression 30 divided by (3+x) is already presented in its simplest form which is 30 / (3 + x).
The question which expression is equivalent to 30 divided by (3+x) pertains to the simplification of algebraic expressions, a basic concept in algebra. To solve or simplify this expression directly, it remains 30 / (3 + x), as there is no further simplification that can be done without additional context or constraints on the variable x. In algebra, expressions are simplified or manipulated using algebraic rules, but in this case, the expression is already in its most simplified form unless specific values are provided for x.
An athlete plans to row upstream a distance of 6 kilometers and then return to his starting point in a total time of 4 hours. If the rate of the current is 2 km/hr, how fast should he row.
Answer:
3.5 kilometers per/hour
Step-by-step explanation:
6/4= 1.5
1.5+2=3.5
I could use some help on this, please! :)
i dont wanna just give away the answer so heres a hint
#x stands for # X x or # times x
x is a vairable so the x+13 part will be #+13
figure out what the number is then if you still need help ask me again
a mechanical engineer designs a robotic rm to be used in an assembly line. one portion of the arm is 5/12 yard long, and the length of the second portion of the arm is 3/12 yard long.What wouldbe the length, in yards, of the robotic arm if the two portions of the arm were measured end to end?
Answer:
8/12 yard or 2/3 yard
Step-by-step explanation:
The sum of the two lengths is ...
5/12 yd + 3/12 yd = (5+3)/12 yd = 8/12 yd
This fraction can be reduced by removing a factor of 4 from numerator and denominator.
8/12 yd = 2/3 yd
If the arm portions are end-to-end, the total length is 2/3 yard.
What is the volume of the pyramid shown, in cubic units? Round to the nearest whole number if necessary.
there are no answer choices. btw
Answer:
1904 units^3
Step-by-step explanation:
multiply all of the sides by each other. 17 X 14 X 8 =
Answer:
the answer is 317
Step-by-step explanation:
I did the test
Chase plans to buy a new car and determines he can budget $725 monthly for four years. His bank is
offering an 8.25% annual interest rate. What is the maximum loan he can afford to stay in his budget?
Use the formula, A – P/(1+) -11
, where P is the month payment, r is the annual interest rate, n is
the nur
the number of times interest is compounded in one year, and t is the number of years.
O A. $26,000.50
B. $29,555.50
C. $37.425.75
O
D. $52,500.00
Answer:
The correct answer is B. $ 29,555.50
Step-by-step explanation:
Let's calculate A, using the formula provided, this way:
A = P * [(1 + r)ⁿ - 1]/r * (1 + r)ⁿ, where:
P is the month payment = 725
r is the monthly interest rate = 0.0825/12 = 0.006875
n is the the number of months to pay = 4 * 12 = 48
Replacing with the values we know, we have:
A = P * [(1 + r)ⁿ - 1]/r * (1 + r)ⁿ
A = 725 * [(1 +0.006875 )⁴⁸ - 1]/0.006875 * (1 +0.006875 )⁴⁸
A = 725 * 0.38939833/0.006875 * 1.38939833
A = 282.313789/0.009552114
A = 29,555.50
The correct answer is B. $ 29,555.50
The correct option is B. [tex]\$29555.50[/tex]. The maximum loan Chase can afford, while making monthly payments of [tex]\$725[/tex] for [tex]4[/tex] years at an [tex]8.25\%[/tex] annual interest rate.
Given:
Monthly payment [tex]\( P = $725 \)[/tex]
Annual interest rate [tex]\( r = 8.25\% \)[/tex] or [tex]\( 0.0825 \)[/tex] as a decimal
Number of payments per year [tex]\( n = 12 \)[/tex] (since monthly payments)
Number of years [tex]\( t = 4 \)[/tex]
The formula to calculate the present value [tex]\( A \)[/tex] of the loan is:
[tex]\[ A = P \times \frac{1 - (1 + \frac{r}{n})^{-nt}}{\frac{r}{n}} \][/tex]
Now, substitute the given values
[tex]\[ A = 725 \times \frac{1 - (1 + \frac{0.0825}{12})^{-12 \times 4}}{\frac{0.0825}{12}} \][/tex]
First, calculate [tex]\( \frac{r}{n} \)[/tex]
[tex]\[ \frac{0.0825}{12} = 0.006875 \][/tex]
Next, calculate [tex]\( (1 + \frac{r}{n})^{-nt} \)[/tex]
[tex]\[ (1 + 0.006875)^{-48} = 0.7221 \][/tex]
Now substitute these values into the formula for [tex]\( A \)[/tex]
[tex]\[ A = 725 \times \frac{1 - 0.7221}{0.006875} \][/tex]
[tex]\[ A = 725 \times \frac{0.2779}{0.006875} \][/tex]
[tex]\[ A = 725 \times 40.4218 \][/tex]
[tex]\[ A = 29555.50 \][/tex]
you are asked to draw a triangle with side length of 10in,7in and 2in how many triangles like this can you draw
Tamiko got a check for 109.60 and a small bonus check for 34.15.What is the net result of her transactions using the result from part A.She wants to save 3/5 of this amount.How much will she save?
a) Net result of Tamiko's transactions = $143.75
b) Total amount she can save = $86.25
Step-by-step explanation:
Step 1 :
Given,
Amount Tamiko got in her first check = $109.60
Amount of the bonus check = $34.15
Fraction of the amount she wants to save = [tex]\frac{3}{5}[/tex]
We need to find the net results of her transactions and the amount she will save
Step 2 :
The new result of her transactions can be computed by adding the amount she has received through both the check.
Total amount she received = 109.60 + 34.15 = 143.75
Total amount she can save = [tex]\frac{3}{5}[/tex] × 143.75 = 86.25
Step 3 :
Answer :
a) Net result of Tamiko's transactions = $143.75
b) Total amount she can save = $86.25
Find the value of 10! / (10-2) !
Answer:
The answer is 90
The value of the 10!/(10 - 2)! is 90 after simplification of the factorial option (C) 90 is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have given an expression:
10!/(10 - 2)!
The sign '!' represents the factorial of the number.
As we know,
If factorial of any number can be evaluated:
n! = n(n - 1)(n - 2)(n - 3)(n - 4).......1
10! = 10×9×8×7×6×5×4×3×2×1
or
10! = 90(8!)
(10 - 2)! = 8!
= 90(8!)/(8)!
90
8! is canceled out from the numerator and denominator
Thus, the value of the 10!/(10 - 2)! is 90 after simplification of the factorial option (C) 90 is correct.
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genas new outfit originally cost 75. she received 20% off how much did genas outfit cost
Answer:
$75 x .20=$15
75-15=$60
To find out how much Gena's outfit cost after the 20% discount, subtract the discount amount from the original price.
Explanation:To find out how much Gena's outfit cost after the 20% discount, we can use the formula:
The discount amount = original price x discount percentage
In this case, the discount amount = $75 x 0.20 = $15.
Therefore, Gena's outfit cost after the discount is:
Original price - discount amount = $75 - $15 = $60.
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Students visited a zoo where they learned that a large white rhinoceros could weigh as much as 6,000 pounds. How many tons is this?
I need dis by 7:00
Answer:
Step-by-step explanation:
Information: 1 ton = 2000 lb
Step one:
Do problem:
6000lb divides by 2000lb.
The answer is 3 tons.
Ture or False
The median better represents
the data than the mean.
Answer:
False
Step-by-step explanation:
Wayne is 37 years old and has his retirement savings in a
401(k). If he makes $110,000 annually, what is the maximum
percentage of his income that he can contribute to his 401(k)
plan per year?
A. 12%
B. 30%
C. 15%
D. 16.5%
ANSWER: C. 15%
Answer:
15%Step-by-step explanation:
15Answer:
Step-by-step explanation:
A farmer uses 1/3 of his land to plant cassava, 2/5 of the remaining and to plant maize and the rest vegetables .if vegetables cover an area of 10acres,what is the total area of the farmers land.