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expeople1 [14]
4 years ago
14

What is the answer to this question ?

Mathematics
1 answer:
Arisa [49]4 years ago
7 0

Answer:

4

Step-by-step explanation:

h(7)= 7²-1= 49-1= 48

f(h(7))= 48/3 -12

= 16-12

= 4

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The hypotenuse of a triangle measures 12 inches, and the measure of one of the acute angles is two less than three times the mea
olga_2 [115]

Answer:

26 sq in.

Step-by-step explanation:

Let x = measure of one acute angle

3x - 2 = measure of other acute angle

Since the triangle is a right triangle, the sum of the measures of the acute angles is 90

x + 3x - 2 = 90

4x - 2 = 90

4x = 92

x = 23

90 - 23 = 67

The acute angles are 23° and 67°

Now, let a = length of side opposite the 23° angle

sin 23 = a/12

a = 12 sin 23

Let b = length of the side opposite the 67° angle

sin 67 = b/12

b = 12 sin 67

Area = 1/2ab = 1/2(12 sin 23°)(12 sin 67°)

                     = 25.90

26 sq in to the nearest inch

Wow!  That is quite the problem.

3 0
3 years ago
I need help with this question<br>​
balu736 [363]

Answer and Step-by-step explanation:

What the question is asking is that it wants you to make the equation show equal to n.

We can do that by dividing both sides by RT, to get n by itself.

PV = nRT\\\\\\\frac{PV}{RT} = n⇔ This is the answer.

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

4 0
3 years ago
Find the length of the radius of the circle whose perimeter is xcm and the area is
Jobisdone [24]

\bf \stackrel{\textit{perimeter}}{\textit{circumference}}\textit{ of a circle}\\\\ C = 2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=x \end{cases}\implies x = 2\pi r\implies \boxed{\cfrac{x}{2\pi }=r} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=x \end{cases}\implies x = \pi \left( \boxed{\cfrac{x}{2\pi }} \right)^2\implies x = \pi \cdot \cfrac{x^2}{2^2\pi^2}

\bf x = \cfrac{x^2}{4\pi }\implies 4\pi x = x^2\implies \cfrac{4\pi x}{x}=x\implies \blacktriangleright 4\pi = x\blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since the radius is}}{r = \cfrac{x}{2\pi }}\implies r =\cfrac{4\pi }{2\pi }\implies \blacktriangleright r = 2\blacktriangleleft

6 0
4 years ago
Read 2 more answers
Cassie and Mario are neighbors, and both have balconies in the shape of a rectangle. The dimensions of Cassie’s balcony are 5 me
Mrac [35]

Answer:

16

Step-by-step explanation:

8 0
3 years ago
You have a rectangular yard that measures 16 feet Long by 14 feet wide.it id covered in grass except For in the Center,where the
BartSMP [9]
A of the yard= L*l=16*14=  224 feet²

A of the fountain= πR²

d=2R
4=2R

R=4:2=2

A of the fountain= 2²π=4 *3,14= 12,56 feet²

A of the grass portion= 224-12,56=  211,43 feet²

answer d)211,43 feet²
5 0
3 years ago
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