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3 years ago

Find the measure of each angle indicated. Round to the nearest tenth.

Mathematics

1 answer:

Sladkaya [172]3 years ago

5 0

Answer:

Step-by-step explanation:

So we want to find θ. We are already given the hypotenuse and the side length opposite to θ. Therefore, we can use the trig function sine to find θ.

Recall that:

$\sin(\theta)=opp/hyp$

Plug in 10.2 for the opposite side and 15 for the hypotenuse:

$\sin(\theta)=10.2/15$

Solve for θ. Use a calculator:

$\theta=\sin^{-1}(10.2/15)\\\theta\approx42.8436\textdegree$

The answer is D.

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Shawna invests $5,048 in a savings account with a fixed annual interest rate of 4% compounded 12 times per year. How long will i

Elena-2011 [213]

Answer:

5 years

Step-by-step explanation:

In the question we are given;

Amount invested or principal amount as $5048
Rate of interest as 4% compounded 12 times per year
Amount accrued as $6,163.59

We are required to determine the time taken for the money invested to accrue to the given amount;

Using compound interest formula;

$A=P(1+\frac{r}{100})^n$

where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)

Therefore;

$6,163.59=5,048(1+\frac{0.333}{100})^n$

$1.221=(1+\frac{0.333}{100})^n$

$1.221=(1.0033)^n$

introducing logarithms on both sides;

$log1.221=log(1.0033)^n\\n=\frac{log1.221}{log1.0033} \\n=60.61$

But, 1 year = 12 interest periods

Therefore;

Number of years = 60.61 ÷ 12

= 5.0508

= 5 years

Therefore, it will take 5 years for the invested amount to accrue to $6163.59

3 0

3 years ago

Number 7 thanks ASAP ASAP

stellarik [79]

Answer:

Price is $1088 (agrees with answer B)

Step-by-step explanation:

Notice that the linear equation that represents this relationship can be estimated via finding the slope and y-intercept using a couple of the given points on the plane (for example (5, 140), and (10, 200), which results in;

Price = 12 x + 80

where "x" is the number of computers shipped.

Then, to ship 84 computers, we have the following price:

Price = 12 (84) + 80 = 1088

Then the price is $1088.

6 0

3 years ago

Find the numerical value of one trigonometric function of x if sinxcotx=1/3

san4es73 [151]

$\bf sin(x)cot(x)=\cfrac{1}{3}\implies ~~\begin{matrix} sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ \cfrac{cos(x)}{~~\begin{matrix} sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}=\cfrac{1}{3}\implies cos(x) = \cfrac{1}{3} \\\\\\ x = cos^{-1}\left( \cfrac{1}{3} \right)\implies x \approx 70.53^o$

4 0

3 years ago

What is the mean absolute deviation of the data set?

neonofarm [45]

Answer:

B. 2

To find MAD, find the mean of the set, then find how far each number is from the mean. Next, find the mean of THAT set of numbers. Yea, I know it's a bit confusing... don't worry!

Find the mean of the set:

12 + 10 + 10 + 8 + 6 + 7 + 7 + 12

72 / 8

9

Find how far each number is from 9:

12 - 9 = 3

10 - 9 = 1

9 - 8 = 1

9 - 6 = 3

9 - 7 = 2

12 - 9 = 3

Find the mean of that number set:

{3, 1, 1, 1, 3, 2, 2, 3}

3 + 1 + 1 + 1 + 3 + 2 + 2 + 3

16 / 8

2

So the answer is 2!

Not so hard after all :D

7 0

3 years ago

Read 2 more answers

Find an angle é coterminal to - 214°, where 0° 0 < 360°

Paladinen [302]

I think it’s. 314 because it can be divided by pi for a numerical text expression.

7 0

3 years ago