Answer: The length of radius of a circular pool is 7 meters
Step-by-step explanation:
Given that the circumference of a circular pool cover is about 88 meters
To find the length of radius
As we know circumference of a circle is given by
[tex]C=2\pi r[/tex] where C is circumference , and r is radius of the circle
Now as according to question we have
[tex]88= 2\pi r\\\\\Rightarrow 88= 2\times \dfrac{22}{7} r\\\\\Rightarrow r= \dfrac{88\times 7}{2\times 44} = 7 m[/tex]
Hence,the length of radius of a circular pool is 7 meters
a piece of plywood was cut so it’s length was 6 feet and the perimeter is 22 feet. what is the area of the wood
Answer:
i believe its 132
Step-by-step explanation: you need to multiply the two numbers together to find the area.
The area of plywood = 30 feet²
What is a rectangle?A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length.
The perimeter of a rectangle is defined as the total distance covered by the outer boundary of the rectangle. It is measured in unit length. The formula of perimeter is given by:
Perimeter, P = 2 (Length + Width)
The area of the rectangle is the area covered by its outer boundaries. It is equal to the product of length and width.
The formula of area of rectangle is:
Area = Length × Width unit²
Given,
Length of the plywood (L) = 6 feet
Perimeter of Plywood (P)= 22 feet
Area of Plywood = ?
Perimeter = 2(Length + Width)
22 feet = 2 (6feet + Width)
Width (W) = (22 /2 - 6) feet
Width (W) = (11 - 6) feet
Width (W) = 5 feet
Area of the plywood (A) = Length × Width
Area = 6feet × 5feet
Area = 30 feet²
Hence, Area of the plywood (A) = 30 feet²
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at a car and truck dealership, the probability that a vehicle is white is 0.25. the probability that it is a van is 0.09. the probability that it is a white van is 0.04. what is the probability that a vehicle is white, given that the vehicle is a van
Answer:0.44
Step-by-step explanation:
The probability that a vehicle is white, given that the vehicle is a van is 0.4
What is the probability?
Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
The probability that a vehicle is white=0.25
The probability that it is a van=0.09
The probability that it is a white van=0.04
Now,
To find the probability that a vehicle is white, given that the vehicle is a van, we can use the conditional probability formula, which states that:
P(white | van) = P(white and van) / P(van)
P(white) = 0.25
P(van) = 0.09
P(white and van) = 0.04
Using the multiplication rule of probability, we can write:
P(white and van) = P(white) * P(van | white)
where P(van | white) is the probability of being a van given that it is white. Solving for P(van | white), we get:
P(van | white) = P(white and van) / P(white)
P(van | white) = 0.04 / 0.25
P(van | white) = 0.16
Plugging this into the conditional probability formula, we get:
P(white | van) = (0.25 * 0.16) / 0.09
P(white | van) = 0.04 / 0.09
P(white | van) = 0.4444
Therefore, by probability the answer will be 0.4
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A quarterback looks downfield at a receiver who is 14 yards away. The receiver is covered, so the quarterback turns 30° to his right and sees another receiver who is 19 yards away. To the nearest tenth of a yard, how far apart are the two receivers?
A. 9.8 yds
B. 10.5 yds
C. 45.5 yds
D. 104.5 yds
Use the law of cosines:
Distance = square root( 14^2 + 19^2 -2(14)(19) x cos(30)
Distance = 9.8 yards.
The answer is A.
The correct answer is A. 9.8 yds is the distance between two receivers.
The Law of Cosines states that for any triangle with sides a, b aand c , and angle [tex]\( \theta \)[/tex] opposite side c, the following equation holds:
[tex]\[ c^2 = a^2 + b^2 - 2ab\cos(\theta) \][/tex]
We want to find d, which corresponds to c in our scenario. Plugging in the values we have:
[tex]\[ d^2 = a^2 + b^2 - 2ab\cos(\theta) \] \[ d^2 = 14^2 + 19^2 - 2 \cdot 14 \cdot 19 \cdot \cos(30^\circ) \][/tex]
Since [tex]\( \cos(30^\circ) = \sqrt{3}/2 \)[/tex], we can substitute this value into the equation:
[tex]\[ d^2 = 14^2 + 19^2 - 2 \cdot 14 \cdot 19 \cdot \frac{\sqrt{3}}{2} \] \[ d^2 = 196 + 361 - 14 \cdot 19 \cdot \sqrt{3} \] \[ d^2 = 557 - 266 \cdot \sqrt{3} \][/tex]
Now we can solve for d:
[tex]\[ d = \sqrt{557 - 266 \cdot \sqrt{3}} \][/tex]
Calculating this value gives us [tex]\( d \approx 9.8 \)[/tex] yards to the nearest tenth of a yard.
Therefore, the two receivers are approximately 9.8 yards apart.
Use a calculator to find a decimal approximation for the following trigonometric function.
cot 221°48'
Answer:
221.8°
hope this helps:)
Garrett throws a dart at a circular dartboard. The dartboard has a radius of 18 inches, and the bull’s eye in the center of the dartboard has a radius of 4 inches. What is the probability that a dart thrown at random within the dartboard will hit the bull’s eye? Round your answer to the nearest tenth, if necessary.
A. 20.3%
B. 4.9%
C. 22.2%
D. 4.5%
Answer:option b. 4.9%
Explanation:
1) The probability that a dart thrown at random within the dart board will hit the bull's eye is equal to the ratio of the areas:
probability = area of the bull's eye / aera of the dart board.
2) Area of the dart board = π × (radius)² = π × (18 in)²
3) Area of the bull's eye = π × (radius)² = π × (4 in)²
4) So, the probaility is:
π (4 in)² 4²
--------------- = ------- = 0.0494
π (18 in)² 18²
The correct answer is option B)4.9
What is the probability that a dart thrown at random within the dartboard will hit the bull’s eye?
1) The probability that a dart is thrown at random within the dartboard will hit the bull's eye is equal to the ratio of the areas:
probability = area of the bull's eye/area of the dart board.
2) Area of the dart board = π × (radius)² = π × (18 in)
3) Area of the bull's eye = π × (radius)² = π × (4 in)²
4) So, the probability is:
π (4 in)² / π (18 in)² = 4² / 18² = 0.0494
What is probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes and how likely they are.
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Need help please!!
(Will mark as Brainliest)
Reese will choose one headband, one
necklace, and one pair of earrings to
wear with her prom dress. Using the
options in the table,answer the
following question
Headband
White
Rod
Blue
Necklace
Gold
Silver
Earrings
Gold Pair
Silver Pair
Pearl Pale
What is the probability that Reese will
choose a blue headband, a silver
necklace, and a silver pair of earrings
to wear with her prom dress?
Answer:
[tex]\dfrac{1}{18}[/tex]
Step-by-step explanation:
Number of Headband Types=3
P(Reese will choose a blue headband)=1/3
Number of Types of Necklace=2
P(Reese will choose a silver necklace)=1/2
Number of Types of Earrings=3
P(Reese will choose a silver earrings)=1/3
In Probability Theory,
P(A AND B)=P(A) X P(B)
Therefore, the probability that Reese will choose a blue headband, a silver necklace, and a silver pair of earrings
[tex]=\dfrac{1}{3}X \dfrac{1}{2}X\dfrac{1}{3}\\\\=\dfrac{1}{18}[/tex]
Hassan is thinking of a fraction. It is bigger than 2/5 and smaller than 2/3. When he divides the numerator by the denominator, he gets an answer of 0.533. What fraction is Hassan thinking of?
Answer:
8/15
Step-by-step explanation:
To start off you want both of the fractions to have the same denominator so you will change 2/5 into 6/15 and 2/3 into 10/15.
Than you figure out a number in between being 7, 8, or 9 and divide it by fifteen. Which ever one equals 0.533. (Which in this case is 8) is the numerator to the fraction.
Here is the histogram of a data distribution,
'
Which best describes the shape of this distribution?
A. Unimodal symmetric
B. Unimodal skewed
C. Bimodal symmetric
D. Uniform
E. Bimodal skewed
Answer:
Unimodal Skewed
Step-by-step explanation:
The best describes the shape of this distribution is E. Bimodal skewed
What is Bimodal skewed?If a histogram has one hump, it is unimodal; if it has two humps, it is bimodal; and if it has many humps, it is multimodal.
If a histogram is not symmetric, this will refer to as skewed.
It is positively skewed if the upper tail is longer than the lower tail.
It can have multiple peaks or be bimodal (two peaks) (or many peaks).
But a single distribution with two peaks characterizes a bimodal distribution.
This will appear as two separate bell curve shapes contained within two normal distributions on a graph that is displayed side by side.
We are given graph has 2 humps, we can conclude that the given distribution is Bimodal skewed.
Therefore, the given distribution is (E) Bimodal skewed as the distribution has 2 humps.
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Can someone help me? Find the surface area of the prism I will give you 14 points to anwser this!
Answer:
[tex]122 {m}^{2} [/tex]
Step-by-step explanation:
[tex]A
=
2
(
w
l
+
h
l
+
h
w
) \\
=
2
·
(
4
·
7
+
3
·
7
+
3
·
4
)
\\
=
122 {m}^{2} [/tex]
Which graph shows the result of dilating this figure by a factor of One-third about the origin?
On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6).
On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2).
On a coordinate plane, triangle A prime B prime C prime has points (negative 3, 3), (3, 3), (3, negative 3).
On a coordinate plane, triangle A prime B prime C prime has points (Negative 18, 18), (18, 18), (18, negative 18).
On a coordinate plane, triangle A prime B prime C prime has points (negative 12, 12), (12, 12), (12, negative 12).
Answer:
A
Step-by-step explanation:
The coordinates of the triangle showing a dilation with a scale factor of 1/3 is (-2, 2), (2, 2) and (2, -2)
What is dilation?Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
Given that, on a coordinate plane, triangle A B C has points (-6, 6), (6, 6), (6, -6). It is being dilated with a scale factor of 1/3
Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
Here, we will consider the coordinates in place of dimensions,
Therefore,
Scale factor = coordinates of new figure / coordinates of original figure
Considering the first option = A'(-2, 2), B'(2, 2) and C'(2, -2)
Scale factor = A/A' = 2/6 = 1/3
Hence, the coordinates of the triangle showing a dilation with a scale factor of 1/3 is (-2, 2), (2, 2) and (2, -2)
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Find the arc length for a circle with diameter 10 inches and central angle 60 degrees. Round to the nearest tenth.
Answer:
C. 5.2 cm
Step-by-step explanation:
Arc length formula:
[tex] s = \dfrac{n}{360^\circ} 2 \pi r [/tex]
where s = arc length
n = central angle of arc
r = radius of circle
diamter = d = 10 cm
r = d/2 = 10 cm/2 = 5 cm
n = 60 deg
[tex] s = \dfrac{n}{360^\circ} 2 \pi r [/tex]
[tex] s = \dfrac{60^\circ}{360^\circ} 2 \times 3.14159 \times 5 ~cm [/tex]
[tex] s = 5.2~cm [/tex]
Answer: 5.2 cm
What is the length of BC in the right triangle below?
Answer:
15
Step-by-step explanation:
using the 3 : 4 : 5 triangle triple:
we see that this triangle follows the same ratio
9:12 = 3:4, so the hypotenuse = 5*3 = 15
ANSWER: 15
If you sleep 6 hours out of 24 hours, what percent of the time do you sleep?
Thanks and be quick!
Answer:
I'm not sure which one 25% i put the wrong number in
If you sleep 6 hours out of 24 hours, you sleep for 25% of the time.
To find the percentage of time spent sleeping, one must divide the number of hours slept by the total number of hours in a day and then multiply by 100. In this case, a person sleeps for 6 hours in a 24-hour day. The calculation is as follows:
Percentage of time spent sleeping = (Number of hours slept / Total number of hours in a day) × 100%
Percentage of time spent sleeping = (6 hours / 24 hours) × 100%
Percentage of time spent sleeping = 0.25 × 100%
Percentage of time spent sleeping = 25%
Therefore, sleeping for 6 hours in a 24-hour period means a person spends 25% of their time sleeping.
please please help! 20 points !!
1. t= 72
u= 54
2. m=76
n=76
3. ef= I forgot how to solve I'm sorry
f= 134
4. p=60
q=60
r=60 (it is an equilateral triangle)
Answer:
1.
u = 54
t = 72
2.
both equal 76
3.
i might be wrong but EF might be 23
f = 134
4.
all three are 60, as it is a equilateral
sorry if that sounds if i copied the previous answer
WILL MARK BRAINLIEST PLSSSS HELP
Angles A M Y and Y M B form a line. Angles Y M B and B M X form a line. Angles X M A and A M Y form a line. Choose each angle to complete the linear pairs. ∠AMY and ∠AMX ∠BMY and ∠BMX and ∠AMX and
Answer:
B
Step-by-step explanation:
sorry if it is wrong but I think it is right
Answer:
Step-by-step explanation:
Angles A M Y and Y M B form a line. Angles Y M B and B M X form a line. Angles X M A and A M Y form a line.
Choose each angle to complete the linear pairs.
∠AMY and ∠AMX
∠BMY and
✔ ∠AMY
∠BMX and
✔ ∠BMY
∠AMX and
✔ ∠BMX
It is this i got it right on the lesson I am 100% sure thanks
If two similar rectangles have corresponding sides with a ratio of 2:3, what is the
ratio of their areas?
Answer:
4:9 ratio
Step-by-step explanation:
We know that the sides cannot be the same because it is a rectangle, therefore there is a width and length.
For the width, which is the shortest side, we will keep the radius as it is, that is, for rectangle 1 it will be 2 and for rectangle 2 it will be 3.
For the length, which is the longest side, we multiply the radius by two, which means that rectangle 1 will be 4 (2 * 2) and for rectangle 2 it would be 6 (2 * 3)
If we calculate the area it would be:
rectangle 1:
2 * 4 = 8
rectangle 2:
3 * 6 = 18
Which means that the radius is 8/18 = 4/9
What is a 4: 9 ratio
3. Triangle ABC has angle measures as shown.
(x + 2)
(6x + 10)
(a) What is the value of x? Show your work.
(b) What is the measure of angle B? Show your work.
Answer:
Below in bold.
Step-by-step explanation:
(a) The angles in a triangle add up to 180 degrees, so:
x + x + 2 + 6x + 10 = 180
8x + 12 = 180
8x = 168
x = 168/8 = 21 degrees.
(b) Angle B = x + 2
= 21 + 2 = 23 degrees.
Which represents the volume of the cylinder, in cubic units?
120
130
300
325
Answer:
Step-by-step explanation:
Volume=(pi)(radius^2)(height)
Volume=(pi)(5^2)(12)
V=(pi)(25)(12)
V=(pi)(300)
Answer: 300 pi
Step-by-step explanation:
on edge
Evaluate f(3) for f(x)=-2x^2+5x-9?
by KWOMACK8012 5 minutes ago
Answer:
-12.
Step-by-step explanation:
f(x)=-2x^2+5x-9
which is -18+15-9, which is...
MARK AS BRAINLIEST!!!!!!!!!!!!
To evaluate f(3) for the function f(x)=-2x^2+5x-9, you substitute 3 for x in the equation and simplify the expression to get the result, which is -12.
Replace x with 3: f(3)=-2(3)2+5(3)-9.
Simplify the squares: f(3)=-2(9)+5(3)-9.
Multiply through: f(3)=-18+15-9.
Combine the terms: f(3)=-3-9.
Final result: f(3)=-12.
Therefore, the evaluated result for f(3) is -12.
Express in scientific notation. 65
Final answer:
The number 65 can be expressed in scientific notation as 6.5 × 10¹, where the original decimal was moved one place to the left.
Explanation:
To express the number 65 in scientific notation, we need to write it as a product of a number between 1 and 10 and a power of 10. Since 65 is a relatively small number, we will have only one digit to the left of the decimal point. We write 65 as 6.5 × 10¹, because we have moved the decimal one place to the left to get the number 6.5, which is between 1 and 10. The exponent on the 10 is positive because the original number was greater than 1.
In sciences like chemistry, scientific notation is frequently used to express large or small quantities. This is also helpful when entering data into a calculator; it's important to know the correct procedure for your particular calculator model. In case of uncertainty, consulting an instructor is advised.
What is the height of the pyramid? 4 feet 8 feet 12 feet 16 feet
Answer:
16 feet
Step-by-step explanation:
Answer:
D. 16 Feet
Step-by-step explanation:
What is the asymptote of the function? f(x) = 3(2^2x)
Answer:
12
Step-by-step explanation:
three time 2 to the 2nd power is twelve.
use a calculator,man. don't be lazy
What should be the first step in adding these equations to illuminate y? 3x+4y=8 + 6x-2y=9
A. Multiply the top equation by two
B. Multiply the top equation by six
C. Multiply the bottom equation by three
D. Multiply the bottom equation by two
Answer:
D
Step-by-step explanation:
In this problem, we are adding the two equations and we want to get rid of y. To do this, we want one positive y and one negative y with the same coefficient because when we add the equations they will cancel each other out. The coefficient of the first equation's y is 4, so we want the second to be -4. The coefficient of the second equation's y is -2, and if we want it to be -4 we multiply it by -4/-2= 2, which is D. Once you do that you will get 4y and -4y in the first and second equations respectively and then you can add them to eliminate y!
The eighth grade class is planning a trip to Washington DC this spring. They need a minimum of 75 people to attend in order to reserve buses. If 1/3 of the eighth grade class 17 parent chaperones have signed up and this is enough to satisfy the requirement, how many students must be in the eighth grade class?
By setting up an equation and solving for the number of students in the eighth grade class, we find that there must be 174 students to meet the requirement of 75 people including 17 parent chaperones.
To find the number of students in the eighth grade class for the trip to Washington DC, let's use the information provided that 1/3 of the class plus 17 parent chaperones are just enough to satisfy the requirement of 75 people for the trip. We can set up an equation to solve for the total number of students (S) in the class:
1/3 * S + 17 = 75
First, subtract 17 from both sides of the equation:
1/3 * S = 75 - 17
1/3 * S = 58
Then, multiply both sides by 3 to find the total number of students (S):
S = 58 * 3
S = 174
Thus, there must be 174 students in the eighth grade class.
A student was given the equation x^2+2x-16=0 to solve by completing the square. The first step that was written is shown below. ——> X^2 + 2x=16<—— The next step in the student’s process was x^2 +2x+c =16+c. State the value of c that creates a perfect square trinomial.
Answer:
[tex]x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}[/tex]
Step-by-step explanation:
Quadratic Equation Given:
[tex]x^2+2x-16=0[/tex]
[tex]x^2 + 2x=16[/tex]
[tex]$c=\left( \frac{b}{2} \right)^2 $[/tex]
[tex]x^2 + 2x+1=16+1[/tex]
[tex](x+1)^2=17\\[/tex]
[tex]x+1=\pm \sqrt{17} \\[/tex]
[tex]x=-1 \pm \sqrt{17} \\[/tex]
[tex]x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}[/tex]
- Consider the following sets:
P = {x|x is a parallelogram}
C = {x | x is a circle}
K = {x|x is a kite)
R = (x | x is a rectangle)
T = {x|x is a trapezoid)
Which set is a subset of set P? C K R T
Answer:
R
Step-by-step explanation:
A rectangle is a parrellagram. Also, got right on edg.
Answer:
R
Step-by-step explanation:
(9x-8)+(x+10)+(x+2)=180 find x
Answer:
x = 16
Step-by-step explanation:
Simplifying
(9x + -8) + (x + 10) + (x + 2) = 180
Reorder the terms:
(-8 + 9x) + (x + 10) + (x + 2) = 180
Remove parenthesis around (-8 + 9x)
-8 + 9x + (x + 10) + (x + 2) = 180
Reorder the terms:
-8 + 9x + (10 + x) + (x + 2) = 180
Remove parenthesis around (10 + x)
-8 + 9x + 10 + x + (x + 2) = 180
Reorder the terms:
-8 + 9x + 10 + x + (2 + x) = 180
Remove parenthesis around (2 + x)
-8 + 9x + 10 + x + 2 + x = 180
Reorder the terms:
-8 + 10 + 2 + 9x + x + x = 180
Combine like terms: -8 + 10 = 2
2 + 2 + 9x + x + x = 180
Combine like terms: 2 + 2 = 4
4 + 9x + x + x = 180
Combine like terms: 9x + x = 10x
4 + 10x + x = 180
Combine like terms: 10x + x = 11x
4 + 11x = 180
Solving
4 + 11x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + 11x = 180 + -4
Combine like terms: 4 + -4 = 0
0 + 11x = 180 + -4
11x = 180 + -4
Combine like terms: 180 + -4 = 176
11x = 176
Divide each side by '11'.
x = 16
Simplifying
x = 16
Your answer would be x = 16.
To find the answer you need to collect like terms on the left hand side by adding the x-terms and the numbers, and then solving for x.
9x + x + x = 11x
-8 + 10 + 2 = 4
11x + 4 = 180
- 4
11x = 176
÷ 11
x = 16
I hope this helps!
Pls help it’s due tn
Answer:
94 for the first one and 130 for the second
Step-by-step explanation:
Since A=6 and B=4
For the first one
13(6)+ 4(4)
78+16=94
For the second one
(6+4)*13
(10)*13= 130
What is the coefficient of the expression below? Please provide an explanation. Will choose brainliest.
Answer:
-3
Step-by-step explanation:
the number in front of the variable is the coefficient