Solve for t. If the answer is a decimal, round to the nearest tenth.

Mathematics

2 answers:

nadya68 [22]2 years ago

5 0

I believe the answer is 25 but I could be very wrong.
Explanation:
a^2(t)+b^2=c^2
a^2(t)+12^2=13^2
a^2(t)+144=169
-144 -144
a^2(t)= 25
25^2= 625
The square root of 625 = 25
t=25

ryzh [129]2 years ago

4 0

Step-by-step explanation:

By Pythagoras' Theorem,

t² = 13² - 12²

=> t² = 169 - 144 = 25

=> t = 5 (as t is non-negative).

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Problem 1

We'll use the product rule to say

h(x) = f(x)*g(x)

h ' (x) = f ' (x)*g(x) + f(x)*g ' (x)

Then plug in x = 2 and use the table to fill in the rest

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<h3>Answer: 14</h3>

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Problem 2

Now we'll use the quotient rule

$h(x) = \frac{f(x)}{g(x)}\\\\h'(x) = \frac{f'(x)*g(x)-f(x)*g'(x)}{(g(x))^2}\\\\h'(2) = \frac{f'(2)*g(2)-f(2)*g'(2)}{(g(2))^2}\\\\h'(2) = \frac{2*3-2*4}{(3)^2}\\\\h'(2) = \frac{6-8}{9}\\\\h'(2) = -\frac{2}{9}\\\\$