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3 years ago

The square of the difference between 2x and y

Mathematics

1 answer:

Zigmanuir [339]3 years ago

4 0

Answer:

this question doesn`t have much information but here`s my best guess

(2x-y)^2

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The length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle 0, is 1.42. What is t

larisa86 [58]

Answer:

16.4 feet.

Step-by-step explanation:

We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle $\theta$ , is 1.42. We are asked to find the length of the side opposite angle $\theta$ .

We can represent our given information in an equation as:

$\text{tan}(\theta)=1.42$

Now, we will use arctan to solve for theta as:

$\theta=\text{tan}^{-1}(1.42)$

$\theta=54.85^{\circ}$

Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{hypotenuse}}$

$\text{sin}(54.85^{\circ})=\frac{\text{Opposite}}{20}$

$20\cdot \text{sin}(54.85^{\circ})=\text{Opposite}$

$20\cdot 0.81764=\text{Opposite}$

$\text{Opposite}=20\cdot 0.81764$

$\text{Opposite}=16.3528$

$\text{Opposite}=16.4$

Therefore, the opposite side to angle theta is 16.4 feet.

5 0

3 years ago

Read 2 more answers

A combination lock has numbers 0-49 on it. How many different 3-digit lock

Harman [31]

Answer:

19,600

Step-by-step explanation:

0-49=50 numbers

n=50

r=3

C(n,r)=n!/(r!(n-r)!)

=50!/(47!)(3!)

C(n,r)=C(50,3)

=50!/(3!(50−3)!)

= 19600

3 0

3 years ago

X2 + 4x - 9 = 5x + 3 O A. 4 O B. -3 O C. -7 O D. 5 E. -2 F-4

elena-14-01-66 [18.8K]

Answer:

${x}^{2} + 4x - 9 = 5x + 3 \\ {x }^{2} - x - 12 \\ {x}^{2} - 4x + 3x - 12 \\ x(x - 4) + 3(x - 4) \\ (x - 4)(x + 3) \\ x = 4 \: and - 3$

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3 years ago

1. Find the simple interest.

Juliette [100K]

Answer:

The first one is 648 and the second one is 11,600

Step-by-step explanation:

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4 years ago

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Rectangle A measures 8 inches by 4 inches. Rectangle B is a scaled copy

Savatey [412]

Rectangle B = 56inches by 28inches
It’s pretty easy you just multiply 8 by 7 and 4 by 7.

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3 years ago