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USPshnik [31]
3 years ago
15

If f(x) = 10x and g(x) = 0.5x + 1, find g(f(5)).

Mathematics
1 answer:
Greeley [361]3 years ago
4 0
G(f(5)) = 0.5(10(5)) + 1 = 26
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Solving proportion 10\8=n\10
Zanzabum
\frac { 10 }{ 8 } =\frac { n }{ 10 } \\ \\ 10\cdot \frac { 10 }{ 8 } =\frac { n }{ 10 } \cdot 10\\ \\ \frac { 100 }{ 8 } =n

\\ \\ n=\frac { 4\cdot 25 }{ 4\cdot 2 } \\ \\ \therefore \quad n=\frac { 25 }{ 2 }
6 0
3 years ago
Read 2 more answers
How do you this question? Please explain.
Nuetrik [128]

Answer:

(C) 2√15

Step-by-step explanation:

Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.

... CB/CA = CT/CB

... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values

... CB = √60 = 2√15 . . . . . . . take the square root; simplify

_____

<em>Comment on this solution</em>

The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...

... CB = √(AC·CT) . . . . as above

This is true for any right triangle — another fact of geometry to put in your list of geometry facts.

3 0
2 years ago
Please I need help it’s an emergency
Fofino [41]

Answer:

the answer is 36

Step-by-step explanation:

beacuse if we use the pythagorean theorem for 9 and 12 we get 15 which means that the perimeter is P=9+15+12=36

8 0
3 years ago
a rectangular fish tank 60 centimeters by 15 centimeters by 34 centimeters is 1/3 full of water. find the volume of water needed
son4ous [18]

Answer:

20,400\ cm^{3}

Step-by-step explanation:

step 1

Find the volume of the tank

V=(60)(15)(34)=30,600\ cm^{3}

step 2

we know that

If the tank is 1/3 full of water

then

the volume of water required to completely fill the tank is equal to 2/3 of the tank capacity

so

(2/3)30,600=20,400\ cm^{3}

5 0
3 years ago
Trapezoid CDEF is congruent to trapezoid TORS. If CF and DE are parallel, which pair of sides in trapezoid TQRS MUST also be par
kondaur [170]

Answer:

D

Step-by-step explanation:

TS and QR Is your answer

6 0
3 years ago
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