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3 years ago

7

What multiplys to negative 36 but adds to 20

1 answer:

KIM [24]3 years ago

3 0

I'm not taking you through the method of solution.

You can do it with two numbers: 21.6619 and -1.6619 (both rounded) .

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The law of cosines is used to find the measure of Z.

Shtirlitz [24]

Answer:

C. $Z=51^{\circ}$

Step-by-step explanation:

We have been given a triangle. We are asked to find the measure of angle Z using Law of cosines.

Law of cosines: $c^2=a^2+b^2-2ab\cdot \text{cos}(C)$ , where, a, b and c are sides opposite to angles A, B and C respectively.

Upon substituting our given values in law of cosines, we will get:

$16^2=19^2+18^2-2(19)(18)\cdot \text{cos}(Z)$

$256=361+324-684\cdot \text{cos}(Z)$

$256=685-684\cdot \text{cos}(Z)$

$256-685=685-685-684\cdot \text{cos}(Z)$

$-429=-684\cdot \text{cos}(Z)$

$\frac{-429}{-684}=\frac{-684\cdot \text{cos}(Z)}{-684}$

$0.627192982456=\text{cos}(Z)$

$\text{cos}(Z)=0.627192982456$

Now, we will use inverse cosine or arc-cos to solve for angle Z as:

$Z=\text{cos}^{-1}(0.627192982456)$

$Z=51.1566718^{\circ}$

$Z\approx 51^{\circ}$

Therefore, the measure of angle Z is approximately 51 degrees.

6 0

3 years ago

Read 2 more answers

A student solved this problem and said the answer is 5 pounds.

andre [41]

I don't know but can you help me find it too.

8 0

3 years ago

Rachel is collecting donations for the local animal shelter. So far she has collected $245, which is 70% of what she hopes to co

Nata [24]

Answer:

The money Rachael plan to collect for the shelter is <u>$350</u>.

Step-by-step explanation:

Given:

Rachel is collecting donations for the local animal shelter.

So far she has collected $245, which is 70% of what she hopes to collect.

Now, to find the money Rachael plan to collect for the shelter.

Let the total amount Rachael plan to collect be $x$ .

Amount she collected = $245.

Percentage of amount she collected = 70%.

Now, to get the amount Rachael plan to collect we put an equation:

$70\%\ of\ x=\$245.$

⇒ $\frac{70}{100} \times x=245$

⇒ $0.70\times x=245$

⇒ $0.70x=245$

<em>Dividing both sides by 0.70 we get:</em>

⇒ $x=\$350.$

Therefore, the money Rachael plan to collect for the shelter is $350.

4 0

4 years ago

Find the 8th term for the sequence a(n)=6-1n

Advocard [28]

Answer:

-2

Step-by-step explanation:

8 0

3 years ago

1/4 x -2>1<br><br> and the grater than sign has a line under it.

antoniya [11.8K]

For this inequality x is greater than or equal to 12

8 0

3 years ago