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Archy [21]
2 years ago
15

Solve the triangle. round your answer to the nearest tenth

Mathematics
1 answer:
kirza4 [7]2 years ago
7 0

Answer:

∡A =41°

~~~~~~~~~~~~

BC=21

~~~~~~~~~~~~~~

sin(24)/AC=sin(41)/21

AC=13

~~~~~~~~~~~~~~

sin(115)/AB=sin(41)/21

AB=29

Step-by-step explanation:

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There are 448 reams of paper in thw supply room. Fourteen reams are used each day. At that rate, how many days will the supply o
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X = number of days that have passed

448 = 14x

divide both sides by 14

32 = x
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3 years ago
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A piece of plywood was cut so it's length with 8 ft by 4 ft what is the area of the wood
Elena L [17]

The area of an object is found by multiplying the length by the width, so to solve your problem, multiply 8*4 to get 32.

8 0
3 years ago
13. Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (u, P, o) for the indica
liraira [26]

Answer:

Null Hypothesis, H_0 : P = 4.1%

Alternate Hypothesis, H_A : P > 4.1%

Step-by-step explanation:

We are given that a psychologist claims that more than 4.1% of the population suffers from professional problems due to extreme shyness.

<u><em>Let p = true percentage  of the population that suffers from extreme shyness.</em></u>

So, Null Hypothesis, H_0 : P = 4.1%

Alternate Hypothesis, H_A : P > 4.1%

Here, <em><u>null hypothesis states that</u></em> % of the population who suffers from professional problems due to extreme shyness is equal to 4.1%.

On the other hand, <u><em>alternate hypothesis states that</em></u> more than 4.1% of the population suffers from professional problems due to extreme shyness.

So, the above hypothesis would be appropriate for conducting the test.

8 0
3 years ago
Please click here and help me
Alex17521 [72]

Answer:

A. ∠AOD = 170°

Step-by-step explanation:

103° + 55° + 12° = 170°

6 0
2 years ago
3. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations d
pychu [463]

Answer:

Part A)

About $3767.34.

Part B)

About $3692.47.

Step-by-step explanation:

Part A)

Recall that compound interest is given by the formula:
\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}

Where <em>A</em> is the final amount, <em>P</em> is the initial amount, <em>r</em> is the interest rate, <em>n</em> is the number of times compounded per year, and <em>t</em> is the number of years.

To obtain $4000 after two years, let <em>A</em> = 4000 and<em> t</em> = 2.

Because the account pays 3% interest compounded monthly, <em>r</em> = 0.03 and <em>n</em> = 12.

Substitute and solve for <em>P: </em>

<em />\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

\displaystyle A = Pe^{rt}

Where <em>e</em> is Euler's number.

Hence, let <em>A</em> = 4000, <em>r</em> = 0.04 and <em>t</em> = 2. Substitute and solve for <em>P: </em>

<em />\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}

In conclusion, about $3692.47 should be deposited.

8 0
2 years ago
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