All categories

3 years ago

I need help on this one thanks.

Mathematics

1 answer:

Annette [7]3 years ago

4 0

You would use the tangent ratio Because you need to find the length opposite the given angle.

Tan(angle) = opposite leg / adjacent leg

Tan(53) = x / 65

X = 65 x tan(53)

X = 86.3 feet.

You might be interested in

Subtract the following complex numbers:

stellarik [79]

Answer: ?????

Step-by-step explanation:

Wouldn't it be -22:

6 - 13 - 15

-7 - 15

-22

3 0

2 years ago

10# A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like

ella [17]

ANSWER:

104

STEP-BY-STEP EXPLANATION:

Given:

Standard deviation (σ) = 700

Confidence level = 95%

Mean error (Eμ) = 135

We have for a confidence level of 95%:

$\begin{gathered} \alpha=100\%-95\%=5\%=0.05 \\ \\ \alpha\text{/2}=\frac{0.05}{2}=0.025 \\ \\ \text{ The corresponding Z value for \alpha/2 = 0.025 is as follows:} \\ \\ Z_{\alpha\text{/2}}=1.96 \end{gathered}$

Now, we calculate the minimum value of the sample size as follows:

$\begin{gathered} n=\left(\frac{Z_{\alpha\text{/2}}\cdot\sigma}{E}\right)^2 \\ \\ \text{ We replacing:} \\ \\ \:n=\left(\frac{1.96\cdot 700}{135}\right)^2 \\ \\ \:n=103.2858\cong104 \end{gathered}$

The minimum sample size needed is 104

3 0

1 year ago

Which of the following is an irrational number?

I am Lyosha [343]

Hi!

<h3>An irrational number is a number that cannot be written as a ratio or a fraction. </h3><h3>Let's go through each answer. </h3>

A. √0.036

= 0.18973666...

<u>This is irrational, because it repeats forever.</u>

B. 7.2525

<u>This is rational, because 2525 repeats in a pattern.</u>

C. √1

= 1

<u>This is rational. (1/1)</u>

D. 10

<u>This is rational (10/1)</u>

<h2>The answer is A. √0.036.</h2>

Hope this helps! :)

-Peredhel

7 0

3 years ago

What is the remainder when (3x4 + 2x3 − x2 + 2x − 19) ÷ (x + 2)?<br><br> 0<br> 5<br> 10<br> 15

Elanso [62]

Answer: Second option is correct.

Explanation:

Since we have given that

$f(x)=3x^4+2x^3-x^2+2x-19$

And $g(x)=x+2$

To find the remainder, we use the Remainder Theorem, which states that when f(x) is divided by (x-c) then the f(c) is the required remainder.

So,

Here, we have,

$x+2=0\\\\x=-2$

So, we will find f(-2) which will give us the required remainder,

$f(-2)=3(-2)^4+2(-2)^3-(-2)^2+2(-2)-19\\\\f(-2)=(3\times 16)-(2\times 8)- 4-4-19\\\\f(-2)=48-16-36-4-19\\\\f(-2)=5$

Hence, Second option is correct.

7 0

3 years ago

Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-interce

svetlana [45]

Answer: in point slope form, the equation would be:

(y-8)=-1/3(x+12)

in slope-intercept form, the equation would be:

y=-1/3x+4

hope this helps! :)

Step-by-step explanation:

4 0

3 years ago