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Alik [6]
3 years ago
7

Solve for x in the triangle.Round your answer to the nearest tenth.

Mathematics
2 answers:
enyata [817]3 years ago
5 0

sin = opposite/hypotenuse

sin 40° = 12/x

Cross multiply.

0.64278760968x = 12

Divide both sides by sin 40°.

x = 18.7 (rounded to nearest tenth).

guapka [62]3 years ago
3 0

Answer: 18.7

Step-by-step explanation:

From the diagram opposite side = 12

hypotenuse side=X

θ= 40⁰

Sinθ= opposite/hypotenus

Sin40= 12/X

Cross multiply

Xsin40° = 12

Divide bothside by sin40°

X = 12/sin40°

x= 12/0.64279

X= 18.6686

X=18.7

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Suppose yoko borrows $3500 at an interest rate of 4% compounded each year Find the amount owed at the end of 1 year
olchik [2.2K]

Amount owed at the end of 1 year is 3640

<h3><u>Solution:</u></h3>

Given that yoko borrows $3500.

Rate of interest charged is 4% compounded each year

Need to determine amount owed at the end of 1 year.

In our case :

Borrowed Amount that is principal P = $3500

Rate of interest r = 4%

Duration = 1 year and as it is compounded yearly, number of times interest calculated in 1 year n = 1

<em><u>Formula for Amount of compounded yearly is as follows:</u></em>

A=p\left(1+\frac{r}{100}\right)^{n}

Where "p" is the principal

"r" is the rate of interest

"n" is the number of years

Substituting the values in above formula we get

\mathrm{A}=3500\left(1+\frac{4}{100}\right)^{1}

\begin{array}{l}{A=\frac{3500 \times 104}{100}} \\\\ {A=35 \times 104} \\\\ {A=3640}\end{array}

Hence amount owed at the end of 1 year is 3640

5 0
2 years ago
Solve the proportion<br> 4/k+3=8/14
MatroZZZ [7]
Cross multiply to get 8k+24=56 then solve for k so subtract 24 from each side to get 8k=32 so k=4
7 0
3 years ago
Read 2 more answers
a taxi cost $1.65 for the 1st Mile and $0.85 for each additional mile. Which equation could be solved to find the number x of ad
Gekata [30.6K]
X = additional mile

0.85x + 1.65 = 20

to solve it:
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7 0
3 years ago
Paper depot is swnding out 28 trucks to deliver paper to customers today. Each truck is being loaded with 3 cases of paper. 283
Stells [14]

Answer:

84 cases

Step-by-step explanation:

Given that:

Number of trucks: 28

Paper cases each truck can load = 3

Total cases of white paper = 283

So the cases delivered will be = 28 *3 = 84 cases will be delivered today

i hope it will help you!

4 0
3 years ago
I need help this question?
Olegator [25]

Answer: the first option is the correct answer.

Step-by-step explanation:

Let x represent the number of necklaces that he makes in a year.

Profit = Revenue - cost

The cost of making each necklace is $5. In making necklaces in a year, the fixed cost is $5000. This means that the total cost of making x necklaces in a year is

5x + 5000

Sam sells each necklace for $10 each. This means that the total amount made from selling x necklaces is $10x.

For Sam to make profit of $1000 in a year, the number of necklaces that she must sell would be

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1000 = 10x - 5x - 5000

10x - 5x = 1000 + 5000

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x = 6000/5

x = 1200

7 0
3 years ago
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