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irga5000 [103]
3 years ago
13

What is g(h(10))? (images)

Mathematics
2 answers:
dsp733 years ago
7 0

Answer:

\sqrt{8}

Step-by-step explanation:

Here,

h ( 10 ) = 12

g(12) = √8

Juli2301 [7.4K]3 years ago
7 0

Answer:

2 sqrt(2)

Step-by-step explanation:

h(x) = 2x-8

g(x) = sqrt( x-4)

g(h(10))

First find h(10)

h(10) = 2*10 -8 = 20-8 =12

Then find g(h(10) = g(12) = sqrt( 12-4)

                                = sqrt(8) = sqrt(4*2) = sqrt(4) sqrt(2) = 2 sqrt(2)

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3. At the mission museum Mrs. Perez visited over break, there is a pond like the one below that has a ring-shaped sidewalk aroun
yarga [219]

Answer:

(a) 36\pi \ m^2

(b) 113.04\ m^2

Step-by-step explanation:

(a) Write and simplify an expression for the exact area of the sidewalk.

(b) Find the approximate area of the sidewalk. Use 3.14 to approximate .

(a) The sidewalk area is the difference in the area of outer circle and inner circle.

Use formula A=\pi r^2 for the area of the circle:

A_{outer}=\pi \cdot 10^2=100\pi \ m^2\\ \\A_{inner}=\pi \cdot 8^2=64\pi \ m^2

The difference is

A_{Sidewalk}=A_{outer}-A_{inner}=100\pi -64\pi =36\pi \ m^2

(b) Use approximation \pi \approx 3.14, then

A_{Sidewalk}\approx 36\cdot 3.14=113.04\ m^2

4 0
3 years ago
(4/3)^ -2 what is the solution
g100num [7]

Answer:

9/16

Step-by-step explanation:

6 0
3 years ago
1. what is bigger 10 pt or 5 l
PilotLPTM [1.2K]
1) 5 liters
2) 42 Kilometers
3) 350 kilograms
Basically all metric answers :)
Have a good day!!
6 0
4 years ago
PLEASE ANSWER ASAP IF YOU KNOW THIS..... To the nearest hundredth, what is the length of line segment AB ?
Oliga [24]
Imagine a right triangle being made from this line, with segment AB as the hypotenuse. The missing point of the triangle would be on (-4,-5) Lets name the point C

Okay, so since we have a right triangle, we can solve for the length of AB using the pythagorean theorem.

a²+b²=c²    where a and b are side lengths and c is the hypotenuse

The distance from A to C is 5units
The distance from B to C is 3 units

Plug in the data that we know

5²+3²=c²
25+9=c²
34=c²
√34=c
5.830=c
round to the nearest hundredth
5.83=c

Answer=5.83 units

8 0
3 years ago
Read 2 more answers
The radius of a circle is 9 times the radius of a smaller circle. The area of the smaller circle is 50 square centimeters. What
scoundrel [369]

Answer:

Let R = radius of big circle

r=radius of small circle

A1=Area of small circle

A2=Area of big circle

R=9r

A1=50cm^2

A1=pi*r*2

A2=pi*R^2

A2=pi*(9r)^2

A2=81*pi*r^2

A2=81*A1

A2=4050cm^2

Hence the big circle has area of 4050cm^2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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