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dem82 [27]
3 years ago
10

Use the graphs of F and G to evaluate the functions.

Mathematics
1 answer:
n200080 [17]3 years ago
6 0

Answer:

b is 4

Step-by-step explanation:

First, notice that

g(f(2))

means what values of g(x) is when x=f(2).

This means we must find the value of f(2) then plug that value into the function g(x).

f(2) is equal to 0. So we must find

g(0)

according to the graph,

when x=0, g(x) is 4.

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A 208-yard-long road is divided into 16 parts of equal length. Mr. Ward paints a 4-yard-long strip in each part. How long is the
laila [671]

We have been given that a 208-yard-long road is divided into 16 parts of equal length.

Let us find length of each part.

\text{Length of each part}=\frac{208}{16}

\text{Length of each part}=13

Length of each part will be 13 yards.                

We are told that Mr. Ward paints a 4-yard-long strip in each part.

Now we will subtract length of painted strip from length of each equal part to find length of unpainted strip of each part of the road.

\text{Length of unpainted strip}=13-4

\text{Length of unpainted strip}=9    

Therefore, length of each unpainted strip will be 9 yards.

5 0
3 years ago
In a right triangle, the measure of one acute angle is twice the sum of the measure of the other acute angle and 30. Find the me
Alja [10]

Answer:

Step-by-step explanation:

if we have a right triangle,

one angle=90

180-90=90

let x be one angle, and y another angle

the other is 2x+30

x+2x+30=90

3x=60

x=20

y=70

5 0
3 years ago
Read 2 more answers
Find the altitude and area of an equilateral triangle
Nataliya [291]
If you look at the attached graphic, you will see that the altitude (or height) of an equilateral triangle is:
Height = side length * sq root (3) / 2
Area = side^2 * sq root (3) / 4




4 0
3 years ago
Pam kept track of the puppies available for adoption at the shelter. after 2 hours, there were 10 puppies available for adoption
nataly862011 [7]


the 5th hour there would be 4 puppies available for adoption

The 6th hour would have 2 puppies available for adoption

these answers are only correct if the ratio stays the same


7 0
3 years ago
Given triangle ABC, A=105°, a=10cm, b=7cm, find B,C and c.
Whitepunk [10]

The value of the side c will be 5.56 cm and angle C is 32.49° and angle B is 42.51°.

<h3>What is law of cosine?</h3>

Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

a² + b² – 2ab cos C = c²

Given triangle ABC, A = 105°, a = 10 cm, b = 7 cm.

Then we have

7² + c² – (2 · 7 · c) cos 105° = 10²

c² + 3.62c – 51 = 0

On solving, we have

c = 5.56

Then the angle C will be

10² + 7² – 2 · 7 · 10 · cos C = 5.56²

                149 – 140 cos C = 30.91

                                 cos C = 0.8435

                                        C = 32.49°

We know that

       ∠A + ∠B + ∠C = 180°

105° + ∠B + 32.49° = 180°

                         ∠B = 42.51°

Learn more about law of cosines here:

brainly.com/question/17289163

#SPJ1

4 0
2 years ago
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