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3 years ago

Hey!

Mathematics

1 answer:

Mrrafil [7]3 years ago

5 0

Answer:

B. 8/17

Step-by-step explanation:

cos = adjacent / hypotenuse

cos C = 16/34 = 8/17

Correct choice is B

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Please help me! Due soon!

givi [52]

Answer:

70/9

Step-by-step explanation:

We have the quadratic:

$3x^2+4x-9$

So, let’s find the roots of the quadratic. We will set the expression equal to 0:

$3x^2+4x-9=0$

Testing for factors, we can see that our quadratic isn’t factorable.

So, we can use the Quadratic Formula. The quadratic formula is given by:

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case:

$a=3, b=4,\text{ and } c=-9$

Therefore, by substitution:

$\displaystyle x=\frac{-(4)\pm\sqrt{(4)^2-4(3)(-9)}}{2(3)}$

Evaluate:

$\displaystyle x=\frac{-4\pm\sqrt{124}}{6}$

Simplify the square root:

$\sqrt{124}=\sqrt{4\cdot31}=2\sqrt{31}$

Hence:

$\displaystyle x=\frac{-4\pm2\sqrt{31}}{6}$

Reduce:

$\displaystyle x=\frac{-2\pm\sqrt{31}}{3}$

So, our roots are:

$\displaystyle x_1=\frac{-2+\sqrt{31}}{3}, x_2=\frac{-2-\sqrt{31}}{3}$

We want to find the sum of the <em>squares</em> of our two roots. So, let’s square each term:

$\displaystyle (x_1)^2=\Big(\frac{-2+\sqrt{31}}{3}\Big)^2$

Square. For the numerator, we can use the perfect square trinomial patten where:

$(a+b)^2=(a^2+2ab+b^2)$

Therefore:

$\displaystyle (x_1)^2=\Big(\frac{(-2)^2+2(-2)(\sqrt{31})+(\sqrt{31})^2}{9}\Big)$

Simplify:

$\displaystyle (x_1)^2=\frac{35-4\sqrt{31}}{9}$

Similarly, for the second root, we will have:

$\displaystyle (x_2)^2=\Big(\frac{-2-\sqrt{31}}{3}\Big)^2$

So:

$\displaystyle (x_2)^2=\Big(\frac{(-2)^2+2(-2)(-\sqrt{31})+(-\sqrt{31})^2}{9}\Big)$

Simplify:

$\displaystyle (x_2)^2=\frac{35+4\sqrt{31}}{9}$

Therefore, our sum will be:

$\displaystyle (x_1)^2+(x_2)^2\\\\ \begin{aligned} &=\frac{35-4\sqrt{31}}{9}+\frac{35+4\sqrt{31}}{9}\\&=\frac{35-4\sqrt{31}+35+4\sqrt{31}}{9}\\&=\frac{70}{9}\end{aligned}$

Therefore, our final answer is 70/9.

3 0

3 years ago

on the stock exchange, 100 shares of pizzazz corp. stock are selling $425. how many shares can be purchased for $1000?

Natali5045456 [20]

Answer:

235.29 shares can be purchased for $1000.

Step-by-step explanation:

On the stock exchange, 100 shares of pizzazz corp. stock are selling $425

We have to determine how many shares can be purchased for $1000?

The price of 100 shares = $425

The price of 1 share = 425/100 = $4.25

Now, It is very easy to calculate the number of shares can be purchased for $1000.

All you have to do is to divide by 1000 by 4.25.

i.e. 1000/4.25 = 235.29 shares

Therefore, 235.29 shares can be purchased for $1000.

6 0

4 years ago

Pls tell me the answer to the question ASAP i'll give brainliest lol

Katarina [22]

oof whats that

Step-by-step explanation:

3 0

3 years ago

Find the length of the side not given when c is the hypotenuse and a and b are the legs. A=9 and C=13

love history [14]

Use the Pythagprean theorem:
$c^2=a^2+b^2$
We have:
$a=9;\ c=13$
Substitute:
$9^2+b^2=13^2\\\\81+b^2=169\ \ \ |-81\\\\b^2=88\to b=\sqrt{88}\\\\b=\sqrt{4\cdot22}\\\\Answer:\ b=2\sqrt{22}\approx9.38$

5 0

4 years ago

Read 2 more answers

Pattie is itemizing deductions on her federal income tax return and had $4800

muminat

Answer: 1500

Step-by-step explanation:

6 0

3 years ago