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Anettt [7]
4 years ago
14

A rectangular athletic field is twice as long as it is wide. if the perimeter of the athletic field is 240240 âyards, what are i

tsâ dimensions?
Mathematics
1 answer:
zhenek [66]4 years ago
5 0
Perimeter of rectangle 2W +2L
Let L = 2W

2W + 2(2W) = 240 (number in question is unclear)

2W + 4W = 240
6W=240
W = 40
L = 40×2 = 80

dimensions 80x40
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(1) An insurance agency sells various types of insurance policies. 40% of their clients buy auto insurance policies, 30% of thei
yaroslaw [1]

Answer:

55% or 0.55(as a decimal)

Step-by-step explanation:

40% of their clients buy auto insurance policies = P(A)

30% of their clients buy home insurance policies = P(H)

15% of their clients buy both home and auto insurance policies = P( A ∩ H)

The probability a randomly selected client buys a home or auto insurance policy = P (A ∪ H) is calculated as

P ( A ∪ H) = P(A ) + P ( H ) - P( A ∩ H)

= 40% + 30% - 15 %

= 70% - 15%

= 55%

Therefore, the probability that a randomly selected client buys a home or auto insurance policy is 55% or expressed as decimal = 0.55

6 0
3 years ago
PLEASE HELP ASAP!!!!!
Wittaler [7]

Answer:

sec(x)

Step-by-step explanation:

cos(x)+cos(x)tan^2(x)

Multiply cos(x) by 1:

cos(x)*1+cos(x)tan^2(x)

Factor out cos(x):

cos(x)(tan^2(x)+1)

Apply the pythagorean identity (tan^2(x)+1=sec^2(x)):

cos(x)sec^2(x)

Rewrite sec^2(x):

cos(x)(\frac{1}{cos(x)})^2 \\cos(x)\frac{1}{cos^2(x)}

Cancel cos(x):

\frac{1}{cos(x)}

Rewrite:

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5 0
4 years ago
What is m∠N?<br> A. 19°<br> B. 68°<br> C. 95°<br> D. 112°
Gennadij [26K]
It would be B. 68

I hope this help!
6 0
3 years ago
The area of a square mirror is 64 in.² what is the length of the mirror?
Molodets [167]

Answer:

8 or B

Step-by-step explanation:

\sqrt{64 which is equal to 8

3 0
4 years ago
Find the lateral area of the prism.<br><br> 120 sq. in.<br> 150 sq. in.<br> 720 sq. in.
mylen [45]

For this case, we must find the lateral area of the pentagonal prism shown in the figure.

By definition:

A_ {l} = P_ {b} * h

Where:

A_{l}: Is the lateral area

P_ {b}: It is the perimeter of the base

h: It's the height

Substituting the values we have:

A_ {l} = 20 \ in * 6 \ in\\A_ {l} = 120 \ in ^ 2

Answer:

A_ {l} = 120 \ in ^ 2

3 0
3 years ago
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