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3 years ago

What is the length of the diagonal of a rectangle that is 12 inches long and 6 inches wide?

1 answer:

4 0

To find the diagonal of the rectangle we have to use Pythagorean theorem!

Pythagorean theorem is used to find the length of a missing angle such as the hypotenuse or the sides a and b.

Steps to solve:

1. 12 in is the length or the base of the right triangle, and 6 in is the wide or the side a.
2. Now use the formula: a^2+b^2=c^2, and plug in the numbers!
3. 6^2+12^2=c^2, now just solve the squared numbers.
4. 36+144=c^2
5. 180=c^2
6. Find the square root of 180.

And that is you answer!
If helped mark me the brainiest!!

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Find the standard deviation, _, for the binomial distribution which has the stated values of n and p. n=38; p=2/5

NARA [144]

Answer:

Solution: given that

n = 38

p = 2/5 = 0.4 q = 1-p = 1-0.4 = 0.6

standard deviation = sqrt(n*p*q)

sqrt(38*0.4*0.6) = 3.0199

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3 years ago

If sinθ = 4/5 and cosθ < 0, then tanθ = a. -4/3 b. -3/4 c. 3/4 d. 5/4 e. 4/3

Alja [10]

Step-by-step explanation:

Since cot²θ + 1 = csc²θ,

we have cot²θ + 1 = [1 / (4/5)]².

=> cot²θ + 1 = 25/16

=> cot²θ = 9/16

=> cotθ = -3/4 (as sine is +ve and cosine is -ve)

=> tanθ = -4/3. (A)

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3 years ago

A box contains shirts in two different colors and two different sizes. The numbers of shirts of each color and size are given in

Schach [20]

Answer:

From the table we see that 48 of the 165 shirts are red mediums, so the probability is

48/165 = 29.1 %

idk if this helps or not sorry if ot dose not help

Step-by-step explanation:

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3 years ago

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Alexeev081 [22]

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3 years ago

Read 2 more answers

The approximate number of Calories, C , that an animal needs each day is given by C=72m^3/4 , where m is the animal's mass in ki

Arlecino [84]

Answer:

576 Calories a 16 kilogram dog needs each day.

Step-by-step explanation:

The approximate number of Calories, C , that an animal needs each day is given by $C=72m^{3/4}$ ,

where m is the animal's mass in kilograms.

now we find the number of Calories that a 16 kilogram dog needs each day.

we are given with m=16

So plug in 16 for m in the given equation

$C=72m^{3/4}\\C=72(16)^{3/4}\\C=72(2^4)^{3/4}\\C=72(2^3)\\C= 576$

576 Calories a 16 kilogram dog needs each day.

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4 years ago

What is the length of the diagonal of a rectangle that is 12 inches long and 6 inches wide?​

What is the length of the diagonal of a rectangle that is 12 inches long and 6 inches wide?