A running track consists of two parallel lines that are connected at each end but the curved boundary of a semicircle. The parallel lines are 30 meters long and 7 meters apart. Fine the area inside the running track.

Answer:

k = 192

Step-by-step explanation:

Given that,

y varies inversely with x. It can be written as :

[tex]y=\dfrac{k}{x}[/tex]

Where

k is the constant of variation

Put x = 16 and y = 12 in the above formula.

[tex]k=yx\\\\k=16\times 12\\\\k=192[/tex]

So, the value of the constant of variation is equal to 192.

Answer:

339.36 cm^2

Step-by-step explanation:

14*12.12=169.68

169.68/2=84.84

84.84= the area of one triangle

(84.84)4=339.36

I'm pretty sure, but check my math if it's wrong

Answer:

B.

3^4 = 81

3^2 = 9

81/9 = 9

Step-by-step explanation:

Answer: B. 9

Step-by-step explanation:

3^4-2=3²

3²=9

Answer:

90°

Step-by-step explanation:

Formula to find EACH interior angle:

[tex]\frac{(n-2) *180}{n}[/tex]

Given:

n (number of sides) = 4

Work:

[tex]\frac{(n-2) *180}{n} \\\\\frac{(4-2) *180}{4} \\\\\frac{(2) *180}{4} \\\\\frac{360}{4} \\\\90[/tex]

Step-by-step explanation:

[tex]91.8 \div 12 = 7.65 \\ 19.35 \div 3 = 6.45[/tex]

3 months

Answer:

x=8

Step-by-step explanation:

The ratio of a side of PQRS to the corresponding side in TUVW. is 6:4=3:2.

The ratio of RS:VW=3:2. RS=12, and VW=x. 12:x=3:2. 3 multiplied by 4 is 12, so 2 multiplied by 4 is x. So, the makes x=8.

Answer:

40

Step-by-step explanation:

This rhombus is divided into 4 triangles. UL= upper left LL= lower left UR= upper right LR= Lower Right

UL: ½bh = ½(5)(4)=10

LL: ½bh = ½(5)(4)=10

UR: ½bh = ½(5)(4)=10

LR: ½bh = ½(5)(4)=10

Add up all the areas of each individual triangle (10+10+10+10 =40) and that's your final answer.

Answer:

62

Step-by-step explanation:

find the area of each side

(3 * 5) + (2 * 3) + (2 * 5) + (2 * 5) + (2 * 3) + (3 * 5)

add them all

15 + 6 + 10 + 10 + 6 + 15 = 62

Answer:

True, false, true, true.

Step-by-step explanation:

The roots zeros of a quadratic function are the same as the factors of the quadratic function. This is true because your roots are your factors—>(x-3) is a factor, x=3 is the root.

The roots zeros are the spots where the quadratic function intersects with the y-axis. No! Those are called y-intercepts!

The roots zeros are the spots where the quadratic function intersects with the x-axis. True. X-intercepts are your solutions. (x-3) graphed would the (3,0). That’s a solution.

There are not always two roots/zeros of a quadratic function,​ True. No solution would be when your quadratic doesn’t intersect the x-axis. One solution would be when your vertex would be on the x-axis. Two solutions is when your quadratic intersects the x-axis twice. Can there be infinite solutions? No. It’s either 0, 1, or 2 solutions.

Answer:

10.35

Step-by-step explanation:

63,756 x 60 = 3825360

70 x 5,280 = 369600

3825360 ÷ 369600 = 10.35

Answer:

19.545

Step-by-step explanation:

Answer:

One solution

I actually do not think you're going to give me brainliest

Answer:

There were a total of 72 Easter eggs.

Step-by-step explanation:

Since five students participated in an Easter egg hunt, where Ally snatched up one quarter of all of the eggs, Brett only managed to get half of what Ally found, Lee snagged six more than Brett, Jen ended up with half of Lee's take, While Lisa snagged three times that, to determine how many eggs were there in total, the following calculation must be performed:

Ally: 0.25X

Brett: 0.125X

Read: 0.125X + 6

Jen: 0.0625X + 3

Smooth: 0.1875X + 9

X - 0.25X - 0.125X - 0.125X - 0.0625X - 0.1875X = 0.25

0.25X = 6 + 3 + 9

0.25X = 18

Ally: 18

Brett: 9

Read: 15

Jen: 7.5

Smooth: 22.5

18 + 9 + 15 + 7.5 + 22.5 = X

72 = X

Thus, there were a total of 72 Easter eggs.

Answer:

$5934

Step-by-step explanation:

Answer: C

Step-by-step explanation:

21x+9-3x = 18x + 9

If you factor out the 9, you would be left with

9 (2x+1)

Answer: A. 9(2x - 1)

Step-by-step explanation:

combine like terms

21x+9-3x

21x-3x

18x+9

Factor the expression

factor out 9 from the expression

you get 9(2x - 1)

Answer:

x = 2, y = - 25

Step-by-step explanation:

(1)

note that 36 = 6² , then

[tex]6^{x}[/tex] = 6²

Since bases on both sides are equal then equate the exponents

x = 2

------------------------------------------

(2)

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

note that 25 = 5² , then

[tex]25^{11+3y}[/tex] = [tex](5^2)^{11+3y}[/tex] = [tex]5^{22+6y}[/tex]

Then

[tex]5^{5y-3}[/tex] = [tex]5^{22+6y}[/tex]

Since bases on both sides are equal then equate the exponents

22 + 6y = 5y - 3 ( subtract 5y from both sides )

22 + y = - 3 ( subtract 22 from both sides )

y = - 25

Answer:

[tex]the \: angle \: is \: 0.25\pi[/tex]

Step-by-step explanation:

the arc length is equal to the radius x angle (in radians)

[tex]s=ra[/tex]

s= arc length, r= radius and a= the angle

solve for a ; a= s/r; a=

[tex]1.25\pi/5[/tex]

The measure of the arc is 0.25π.

Important information:

The formula for arc length is:

[tex]s=r\theta[/tex]

where s is the arc length, r is the radius and [tex]\theta [/tex] is the measure of arc in radian.

The diameter of a circle is 10 inches. So, the radius is 5 inches.

[tex]1.25\pi=5\theta[/tex]

[tex]\dfrac{1.25\pi}{5}=\theta[/tex]

[tex]0.25\pi=\theta[/tex]

Therefore, the measure of the arc is 0.25π.

Find out more about 'Measure of arc' here:

https://brainly.com/question/15138285

Answer:

A VR car game and an iphone

Step-by-step explanation:

:)

Answer:

10 inches

Step-by-step explanation:

5/6*12

5*2 (since 12/6=2)

10 inches long!

hope it helps you!

Answer:

It would be 10 inches

Step-by-step explanation:

The 5/6 of 12 is 10 since(or you can simply say that we just subtract 2, I don't really know how to explain my work)

Answer:

∠x = 59°

Step-by-step explanation:

∠ECD = 52°   because they are alternate angles and will be equal

∠x = 180° - 52° - 69° = 59°  because the sum of the interior angles of a triangle = 180°

Answer:

60

Step-by-step explanation:

half of 2/5 is 1/5 so half of 24 is 12.

since 12  is 1/5 of the number multiply 12 by 5 and you get 60.

The whole number will be 60 whose two fifths will be 24.

Given, Two fifths of a number is 24.

Writing in form of equation,

Let the whole number be x.

So, two fifth of x is 24.

[tex]\frac{2}{5} of x = 24[/tex]

[tex]\frac{2}{5} \times x = 24[/tex]

Apply cross multiplication,

[tex]x = \frac{24 \times 5}{2}[/tex]

x = 60.

Therefore the whole number is 60.

Know more about fractions,

https://brainly.com/question/10354322

#SPJ4

Answer:

Total Volume of composite figure = 635.2 cm³

Steps:

CV = h×3.14×(d/2)²

CV = 5×3.14(8/2)²

CV = 5×3.14(4)²

CV = 5×3.14×16

CV = 5×50.24

CV = 251.2 cm³

RV = h×w×l

RV = 4×8×12

RV = 4×96

RV = 384 cm³

TV = CV + RV

TV = 251.2 + 384

TV = 635.2 cm³

Answer:

38.75 = 2.25 m + 5

Step-by-step explanation:

It is given that :

Jazmin took a ride share service from airport to home.

The total cost of the ride service from airport to home is = $ 38.75

The ride service charged an initial cost for picker Jazmin = $ 5

Cost of the ride service for every mile = $ 2.25 per mile

Let the number of miles = m

Therefore, the equation that represents the situation is :

38.75 = 2.25 m + 5

where, m represents the number of miles.

Answer:

1 /3

Step-by-step explanation:

Total Number of routes = 6

Probability = required outcome / Total possible outcomes

Probability of any one of the routes :

Required outcome / Total possible outcomes

Probability of choosing any one of the routes = 1/6

Hence,

Probability of choosing either Hilltop. Drive or medical avenue =

1/6 + 1/6 = (1 + 1) / 6 = 2 /6 = 1/3

Answer

328,268.2 mm cubed is correct!

Step-by-step explanation:

If you use the formula V=πr²h with these steps:

1. Calculate the area of the base (which is a circle)

2. use the equation πr² where r is the radius of the circle.

3. Then, multiply the area of the base by the height of the cylinder

4. The volume is found!

Answer:

328,268.2 cubic millimeters

Step-by-step explanation:

I did it on edge

Answer:

I think C or D

Step-by-step explanation:

Answer:

82 ☺️

Step-by-step explanation:

Answer:

the probability that a test correctly classifies as positive individuals who have preclinical disease

Step-by-step explanation:

Sensitivity represents the true positive percentage

Lets take an example if there is 90% sensitivity that means there are 90% people who have the target disease considered the test positive

So according to the given options, it is the probability in which if the test is done in a correct manner so this means that the positive individuals have the preclinical disease

Therefore the first option is correct

Answer:

80 percent of 70 is 56, so you were 20% wrong?

The percent error is 20%

let me know if you need anything else :)