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Karo-lina-s [1.5K]
3 years ago
11

In the triangle below,

Mathematics
1 answer:
Greeley [361]3 years ago
7 0

Answer:

12.3

Step-by-step explanation:

You will use cosine to solve for y because you are given the hypontenuse and need to find the adjacent side.

cos 35 degrees = adjacent/hypontenuse

cos 35 = y/ 15

15( cos35 ) = y

y=12.287

=12.3

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B42%7D%7B%20%5Csqrt%7B28%7D%20%7D%20%2B%20%5Cfrac%7B60%7D%7B45%7D%20-%202%20%5Csqr
chubhunter [2.5K]

Answer:

4/3−4√5+13√7

Step-by-step explanation:

So for whatever reason we don't like it when the radical is in the denominator so we're going to do a process called rationalization and get rid of it. We do this by multiplying both the numerator and denominator by the radical

So for the first part we multiply the numerator and denominator by \sqrt{28} which gives us \frac{42\sqrt{28} }{28} we can then factor the 28 into sqrt(7,2,2) which simplifies to 42*2\sqrt{7}/28  So then we can simplify this and get 3\sqrt{7} We then can simplify the rest of these radicals and get 2\sqrt{20}=2\sqrt{2*2*5}=4\sqrt{5}  and 2\sqrt{175}= 2\sqrt{5*5*7}=2*5\sqrt{7} This means that so far we have the following:3\sqrt{7}+ \frac{60}{45}-4\sqrt{5} +10\sqrt{7} We can add the like terms and simplify the fraction and get 4/3−4√5+13√7

5 0
3 years ago
If f(x) = 4x^3 + Ax^2 + 7x - 1 and f(2) = 3, what is the value of A?<br> (^ = powers)
bekas [8.4K]

Answer:

A = -10.5

Step-by-step explanation:

To find the value of "A", you can plug x = 2 and f(x) = 3 into the equation. This will allow you to simplify and find the value of "A".

f(x) = 4x³ + Ax² + 7x - 1                     <---- Original equation

3 = 4(2)³ + A(2)² + 7(2) - 1                 <---- Plug x = 2 and f(x) = 3 into equation

3 = 4(8) + A(4) + 14 - 1                      <---- Solve 2³ and 2²

3 = 32 + A(4) + 14 - 1                        <---- Multiply 4 and 8

3 = 45 + A(4)                                    <---- Combine like terms

-42 = A(4)                                         <---- Subtract 45 from both sides

-10.5 = A                                         <---- Divide by 4

If A = -10.5, the final equation would look like this:

f(x) = 4x³ - 10.5x² + 7x - 1

8 0
2 years ago
Read 2 more answers
Simplify product<br>8x²(4x²+4y⁶)<br>​
hram777 [196]

Answer:

32x^4+32x^2y^6

it is the answer

3 0
3 years ago
What is the interquartile range for this set of data?11, 19, 35, 42, 60, 72, 80, 85, 88?
Vladimir [108]
From my  knowledge of what an interquartile range is I have to say the answer to your question is 55.5.
7 0
3 years ago
Jonathan’s parents told him that for every 5 hours of homework or reading he does he gets three hours of video games. His friend
Anarel [89]

Answer:

Jonathan

Step-by-step explanation                                                                                             30 * 5 = 150/ 60 = 2.5      2 hours and 30 minutes of playing time for every 5 hours is for Lucas. Jonathan gets 30 minutes more for every 5 hours.                                                                          

8 0
3 years ago
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