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Aneli [31]
1 year ago
7

A coach gives her players the option of running around their field twice or around their entire stadium once. The following diag

ram shows the field and stadium dimensions on a coordinate grid.
Mathematics
1 answer:
Elodia [21]1 year ago
7 0
Get a call to me when I can do it on Saturday
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A rectangular pool 18 meters by 12 meters is surrounded by a walkway of width x
vesna_86 [32]

Answer:

x=3 meters

Step-by-step explanation:

step 1

Find the area of the rectangular pool

A=LW

we have

L=18\ m\\W=12\ m

substitute

A=18(12)=216\ m^2

step 2

Find the area of rectangular pool including the area of the walkway

Let

x ----> the width of the walkway

we have

L=(18+2x)\ m\\W=(12+2x)\ m

substitute

A=(18+2x)(12+2x)

step 3

Find the area of the walkway

To find out the area of the walkway subtract the area of the pool from the area of rectangular pool including the area of the walkway

so

A=(18+2x)(12+2x)-216

step 4

Find the value of x if the area of the walkway equal the area of the pool

so

(18+2x)(12+2x)-216=216

Solve for x

(18+2x)(12+2x)=432\\216+36x+24x+4x^{2}=432\\4x^{2} +60x-216=0

Solve the quadratic equation by graphing

The solution is x=3 meters

see the attached figure

8 0
2 years ago
0.01234567901 as a fraction
balu736 [363]

Answer: 1234567901 /100000000000

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are  11  numbers to the right of the decimal point, place the decimal number over  10 ∧11   ( 100000000000 ) . Next, add the whole number to the left of the decimal.

1234567901 /100000000000

6 0
1 year ago
Mrs. Ibarra wants to create a right triangle for a geometry test. She plans to use 15, 36, and 41 as side lengths. Which stateme
Arisa [49]

Answer:

Step-by-step explanation:

The answer is A, C, D, and E. I just took the test.

6 0
1 year ago
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A boat is approaching a cliff known to be 40m tall. The angle of elevation is 30°. How far away is the boat from the cliff?
allochka39001 [22]

Answer:

x = 40 * \sqrt{3}  meters

Step-by-step explanation:

You have a 30-60-90 right triangle in this situation.

the height of this triangle is 40 meters

the opposite angle is 30 degrees.

use the tangent.

let x = distance between boat and cliff

tan 30 = 40/x

1/root (3) = 40/x

x = 40 * \sqrt{3}  meters

5 0
1 year ago
s in the previous exercise, suppose the lengths of phone calls to the receptionist of a small company are i.i.d. with a mean of
Anna [14]

Answer:

jhviiu

Step-by-step explanation:

8 0
2 years ago
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