The chart below describes the speed of four runners. Which runner is the fastest?

Runner A ran 1 mile in 8 minutes

Runner B ran 2 miles in 10 minutes

Runner C ran 3 miles in 20 minutes

Runner D ran 5 miles in 30 minutes

Answer:

arc = 9π units

Step-by-step explanation:

the arc is half the circumference of the circle, then

arc = [tex]\frac{1}{2}[/tex] × 2πr = πr , then

arc = π × 9 = 9π

Answer:

[tex]\boxed{\tt 9\pi }[/tex]

Step-by-step explanation:

What we want to find here is the arc length of 1/2 of a circle, we'll start by finding the of the circle.

Step 1:- find the circumference of the circle →

[tex]\boxed{\sf Circumference\; of\; the \:circle=2\pi r}[/tex]

[tex]\tt 2\pi \times 9[/tex]

[tex]\tt 9\times 2\pi[/tex]

[tex]=\tt 18\pi[/tex]

Step 2:- find the arc length of 1/2 of the circle →

The arc length is 1/2 of the circumference of the circle:-

[tex]\boxed{\sf Circumference \; of \;\cfrac{1}{2}\; of\; the \; circle=\cfrac{1}{2}\times 18\pi}[/tex]

[tex]\tt \cfrac{18}{2} \pi[/tex]

[tex]\boxed{\tt 9\pi}[/tex]

Therefore, the arc length of the semicircle is 9π.

Answer:

289 m²

Step-by-step explanation:

First find the area of the flower bed

A=πr²= (3.14)(9.5)² = 283.385

Then get the area of everything including the sidewalk

A=πr²= (3.14)(13.5)² = 572.265

Then subtract and you'll get the area of just the sidewalk

572.265 - 283.385 = 288.88m²

The answer to this question is 289

Using the conversion of exponent to power, the equivalent expression is given as follows:

[tex]\frac{\sqrt{x}}{\sqrt[4]{y}z^2}[/tex]

It happens according to the following rule, with the denominator as the root and the numerator as the exponent:

[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]

In this problem, we are given the following expression:

[tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex]

Negative exponents go to the denominator, hence the equivalent expression is given by:

[tex]\frac{\sqrt{x}}{\sqrt[4]{y}z^2}[/tex]

More can be learned about the conversion of exponent to power at brainly.com/question/2020414

#SPJ1

Answer:

7x5x2 = 70

There are no other smaller factors that include all of the given numbers

The location final image from the mirror, which is made when an object is placed 1.00 m to the left of the lens, is 0.58 right to the mirror.

The focal length of the lens is the length of the distance between the middle of the lens to the focal point.

It can be find out using the following formula as,

[tex]-\dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}[/tex]

Here, (v)is the distance of the image, (u) is the distance of the object, and (f) is the focal length of the lens.

The lens and mirror in the Figure are separated by 1.00 m and have focal lengths of +79.2 cm and -50.6 cm, respectively. Change the units of focal length in meters,

[tex]f_l=79.2\text{ cm=0.792 m}\\f_m=-50.6\text{ cm=0.506 m}[/tex]

An object is placed 1.00 m to the left of the lens. Put the value in the lens formula as,

[tex]-\dfrac{1}{v_l}+\dfrac{1}{1}=\dfrac{1}{0.792}\\-\dfrac{1}{v_l}=\dfrac{1}{0.792}-1\\v_1=3.81[/tex]

The distance of the image made by lens is 3.81 meters. The distance of this image from the mirror is,

[tex]u_2=3.81-1\\u_2=2.81\rm \; m[/tex]

This distance is work as object distance for the mirror. The focal length of mirror is -0.506 m. Thus, the location of the final image is,

[tex]-\dfrac{1}{v_2}+\dfrac{1}{3.81}=\dfrac{1}{-0.506}\\\dfrac{1}{v_2}=-\dfrac{1}{3.81}-(-\dfrac{1}{0.506})\\v_2=-0.58[/tex]

Thus, the location final image from the mirror which is made when an object is placed 1.00 m to the left of the lens, is 0.58 right to the mirror.

Learn more about the focal length here;

https://brainly.com/question/25779311

#SPJ1

Answer:

90%

Step-by-step explanation:

We know that 9 of 10 people were less than 65. It means, that if they would ask 100 people, the number would be 90.

The percent of population less than 65 is 90%

Ninety percent of the population was less than 65.

The percentage is defined as the ratio expressed as a fraction of 100.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

According to data from the U.S. Census Bureau,

Approximately 9/10 of the U.S population was less than 65 years old.

Nine out of ten people, as far as we know, were under 65.

In other words, if they surveyed 100 persons, the answer would be 90.

Hence, Ninety percent of the population was less than 65.

Learn more about percentage here:

brainly.com/question/24159063

#SPJ2

Answer: correct

Step-by-step explanation theoretically it is indeed correct by acknowledging by surface+height which both angles are evenly congruent now

in terms of the 990 Degree angle i know for a fact that it corresponds with it no more to say.

Answer:

PQ = 4cm

QR = 3cm

PR = 5cm

Area = 6cm²

Step-by-step explanation:

Area of triangle = 0.5 × Base × Height

6 = 0.5 × 3 × PQ

6 = 0.5 × 3 × x

[tex] \frac{6}{0.5 \times 3} = x[/tex]

x = 4cm

PQ = 4cm

Since, it is a right angled triangle applying Pythagoras Theorem,

PR =

[tex] \sqrt{ {3}^{2} + {4}^{2} } \\ = \sqrt{9 + 6} \\ = 5cm[/tex]

PR = 5cm

Answer:

336, (B)

Step-by-step explanation:

To find the surface area, find the area of each square and triangle

10x12 + 2(6x8)/2 + 12x6 + 8x12

This would then be,

120 + 48 + 72 + 96

Surface area = 336, (B)

You made a mistake on step 2.

When finding the area of triangle, you have to divide by 2.

Hope this helps!

Answer: c ???????????????????

Step-by-step explanation:

Step-step Explanation:

Let's know how to round any number nearest to tens (Rules):-

We know tens place in any no. from left is at second place and number right to tens place need to be changed as:-

Answer:

790

Step-by-step explanation:

Answer:

[tex]x=\frac{3\pi }{4} ,\frac{7\pi }{4}[/tex]

If wrong then [tex]x=-\frac{\pi }{4}.[/tex]

Step-by-step explanation:

[tex]tan^2(x)-tan(x)=0[/tex]

Factor out the tan(x).

[tex]tan(x)*(tan(x)-1)=0[/tex]

Solve for x.

[tex]tan(x)\neq 0\\[/tex] thus only option is tan(x)-1=0

[tex]tan(x)-1=0\\tan(x)=1\\[/tex]

x=tan^-1(1)⇒

Either it is Quadrant 2 or 4.

[tex]x=\frac{3\pi }{4} ,\frac{7\pi }{4}[/tex]

If the teacher says its wrong. Then that could only mean that its range of tan(x) is between [tex]-\frac{\pi }{2} < x < \frac{\pi }{2}[/tex] thus it's only on quadrant 4. [tex]x=-\frac{\pi }{4}[/tex]

Answer:(-2,0) and (3,0)

Step-by-step explanation:im not sure if its correct but it should be

Answer:

0.4 or 2/5

Step-by-step explanation:

If head is 18/30, then that means that tails must be 12/30, since they must add up to one whole.

Reduce it to simplest terms: 2/5 or 0.4

Answer:

True; True; False; True

Step-by-step explanation:

Answer:

Step-by-step explanation:

TSA of cube = 6a²

side = 2/3

= 6 x (2/3)²

= 6 x 4/9

= 2 x 4/3

=8/3

Ans = 8/3 units or 2.66.. units

HAVE A NICE DAY

STAY SAFE

PLS MARK BRAINLIST IF IT IS CORRECT

Answer:

16 x ^ -1/5

Step-by-step explanation:

The result of the exponential expression is 81

Indices are written in term of exponents

According to the expoenent law of indices

a^4 = a * a * a * a

Given the expression

(-3)^4

This means the product of -3 in four places. Mathematically

(-3)^4 = -3 * -3 * -3 * -3
(-3)^4 = 9 * 9
(-3)^4 = 81

Hence the result of the exponential expression is 81

Learn more on exponents here: https://brainly.com/question/11975096

The statement is true is: A 16,000-BTU air conditioner meets the manufacturer recommendation.

Option A

BTUs=16,000/(20 feet×20 feet×8 foot)

BTUs=16,000/3200 feet

BTUs=5 BTUs

Option B

BTUs=14,000/(10 feet×20 feet×8 foot)

BTUs=14,000/1600 feet

BTUs=8.75 BTUs

Option C

BTUs=20,000/(20 feet×40 feet×8 foot)

BTUs=20,000/6400 feet

BTUs=3.125 BTUs

Option D

BTUs=12,000/(15 feet×10 feet×10 foot)

BTUs=12,000/1500 feet

BTUs=8 BTUs

Based on the calculation above only option A with 5 BTUs fall between 4 and 6 BTUs.

Therefore the statement is true is: Option A.

Learn more about BTUs here:https://brainly.com/question/10486668

The number of appetizers that Liz would have learnt after 4 weeks given the unit rate is  20.

The first step is to determine the unit rate of appetizers that Liz learns.

Unit rate = total number of appetizers / total number of weeks

10 /2 = 5 appetizers

Number of appetizers Liz would learn in 4 weeks = 4 x 5 = 20

To learn more about division, please check: https://brainly.com/question/194007

#SPJ1

Answer:f^-1(x) = 1/3x + 5/3

Step-by-step explanation:

Answer:

4 x 2 (2WD) A 4x2 or 2WD is a vehicle that has a two-wheel drive (2WD) with four wheels.

Step-by-step explanation:

The function that describes the area of the rectangle in terms of one of the sides is A = 12L - L².

The perimeter of the rectangle is given as 24. Therefore, the area in terms of one of its side will be:

A = L(24 - 2L)/2

A = L(12 - L)

A = 12L - L²

The length side for the maximum area will be 6 and 6. The maximum area of the rectangle will be:

= 6 × 6

= 36

Learn more about rectangles on:

https://brainly.com/question/25292087

Answer:

88

Step-by-step explanation:

angles on a straight line add up to 180

180-120=60

angles in a triangle add up to 180

60+32=92

180-92=88

angle 1=88

Answer:

Step-by-step explanation:

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 1.5. Which statement about the graphs is true?

The vertex of the graph of g is 1.5 units to the left of

the vertex of the graph of f.

B

The y-intercept of the graph of g is 1.5 units above the

y-intercept of the graph of f.

The graph of g is a reflection of the graph of f across

the y-axis.

The graph of g is a reflection of the graph of f across

the x-axis.

Answer:

Each person received 3/10 of pie

Step-by-step explanation:

3 dived by 10 equals 0.3 which is equivalent to 3/10

Answer:

4

Step-by-step explanation:

The equation to represent the situation is like so:

[tex]x+(x-12)+3(x-12)=332[/tex]

Simplify.

[tex]x+x-12+3x-36=332[/tex]

[tex]5x-48=332[/tex]

[tex]5x-380=0[/tex]

Solve for the variable x.

[tex]5x=380[/tex]

[tex]x=76[/tex]

[tex]first\ man =x\\second\ man =x-12\\machine=3(x-12)[/tex]

[tex]first\ man=76\\second\ man=64\\machine=192[/tex]

Verify.

[tex]x+(x-12)+3(x-12)=332[/tex]

[tex]76+(76-12)+3(76-12)=332[/tex]

[tex]76+64+192=332[/tex]

[tex]332=332[/tex]

[tex]LS=RS[/tex]