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liraira [26]
2 years ago
11

Solve for the unknown in the following diagram. Round the answer to two decimal places.in​

Mathematics
1 answer:
Alexxandr [17]2 years ago
4 0

Answer:

172.27 in

Step-by-step explanation:

Apply the Sine Rule

Sine Rule is given as:

\frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}

c = x = ?

C = 180 - (52 + 48) = 80° (sum of triangle)

b = 130 in.

B = 48°

Plug in the values

\frac{130}{sin(48)} = \frac{x}{sin(80)}

Multiply both sides by sin(80)

\frac{130*sin(80)}{sin(48)} = x

172.274641 = x

x = 172.27 in. (to 2 decimal places)

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Declan ran 500 meters in 5 minutes . calculate the unit rate​
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Answer:

100 meters in 1 minute

Step-by-step explanation:

500/5=100

5 0
3 years ago
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Bruce is going grocery shopping. he can go to the deli, the bakery, and the dairy section. How many possibilities are there for
vodomira [7]

Answer:

1. deli, bakery, dairy;

2. deli, dairy, bakery;

3. bakery, dairy, deli;

4. bakery, deli, dairy;

5. dairy, bakery, deli;

6. dairy, deli, bakery

Step-by-step explanation:

6 possibilities

8 0
3 years ago
These are all related to geometry and I need help!
nydimaria [60]

SOH-CAH-TOA

sin=opp/hyp

cos=adj/hyp

tan=opp/adj

1. Sin c=opp/hyp           2. tan=opp/adj                  3. sin=opp/hyp

  sin c=8/17                        tan38°=x/16                        sin38=18/x

                                                                                   x=18/sin38; x=29.236846

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What is the interest rate in A = 12,000(1 + 0.07/4)^(4)(4)
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7 0
3 years ago
In 2 years, you want to have $5000 in your savings account. Find the amount you should deposit if the account pays 3% annual int
muminat

The amount you should deposit is $4709.18

Step-by-step explanation:

The formula for compound interest, including principal sum is

A=P(1+\frac{r}{n})^{nt} , where:

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount
  • r is the annual interest rate in decimal
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

∵ You want to have $5000 in your savings account in 2 years

∴ A = 5000

∴ t = 2

∵ The account pays 3% annual interest, compounded monthly

∴ r = 3% = 3 ÷ 100 = 0.03

∴ n = 12 ⇒ compounded monthly

- Substitute these values in the formula above

∴ 5000=P(1+\frac{0.03}{12})^{(12)(2)}

∴ 5000=P(1+0.0025)^{24}

∴ 5000=P(1.0025)^{24}

- Divide both sides by (1.0025)^{24}

∴ P = 4709.18

The amount you should deposit is $4709.18

Learn more:

You can learn more about the compounded interest in brainly.com/question/2514241

#LearnwithBrainly

3 0
3 years ago
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