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2 years ago

12 week as a percent of 1 year

Mathematics

2 answers:

Vadim26 [7]2 years ago

8 0

Answer:

91/365 x 100 =24.93%

Step-by-step explanation:

3 weeks - 91 days

1 year - 365 days

Multiply the fraction with 100 then u get the result.

Ans - 91/365 x 100 =24.93%

defon2 years ago

8 0

Answer:

24.93%

Step-by-step explanation:

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given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta

lapo4ka [179]

Answer:

$\cos{\theta} = \frac{\sqrt{15}}{4}$

Step-by-step explanation:

For any angle $\theta$ , we have that:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

Quadrant:

$0 \leq \theta \leq \frac{\pi}{2}$ means that $\theta$ is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

$(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1$

$\frac{1}{16} + (\cos{\theta})^{2} = 1$

$(\cos{\theta})^{2} = 1 - \frac{1}{16}$

$(\cos{\theta})^{2} = \frac{16-1}{16}$

$(\cos{\theta})^{2} = \frac{15}{16}$

$\cos{\theta} = \pm \sqrt{\frac{15}{16}}$

Since the angle is in the first quadrant, the cosine is positive.

$\cos{\theta} = \frac{\sqrt{15}}{4}$

3 0

3 years ago

In △CDE , CD=12 , DE=5 , and m∠E=83∘ . What is m∠D to the nearest tenth of a degree?

mr_godi [17]

Answer:

As law of sin:

CD/sinE = DE/sinC

Then

12/sin83 = 5/sinC

Then

sinC = 5*sin83/12 = 0.413

Then

C = arcsin(0.413) = ~24.4 deg

Then

D = 180-C-E = 180-83-24.4 = ~72.6

Hope this help, bro!

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3 years ago

How many minutes are in a 2 days?

Fantom [35]

There are 2880 minutes in two days

3 0

3 years ago

Read 2 more answers

Find the missing length

olga55 [171]

Answer:

θ ≈ 36.03°

Step-by-step explanation:

We can use tangent (opposite side / adjacent side) for this question:

tan (θ) = 8 / 11

θ = tan⁻¹ (8/11)

θ = 36.02737339

θ ≈ 36.03°

4 0

2 years ago

Robert makes 50 litres of green paint by mixing litres of yellow paint and litres of blue paint in the ratio 2:3.

podryga [215]

Answer:

Explanation:

1. Cost of each liter of yellow paint:

Yellow paint is sold in 5 litre tins and ach tin costs £26, thus the cost of one liter is £26 / 5 liters = £5.2 per liter.

2. Cost of each liter of blue paint:

Blue paint is sold in 10 litre tins and each tin costs £48, thus the cost of one liter of blue paint is £48 / 10 liters = £4.8 per liter

3. Cost of each liter of green paint.

Green paint is made by mixing yellow paint and blue paint in the ratio 2:3

Thus, 5 liters of green paint will cost:

2 liters yellow paint: 2 liter × £5.2 / liter = £10.4

3 liters blue paint: 3 liter × £4.8 / liter = £14.4

========== ========

5 liters green paint: 5 liter £24.8

Cost of one liter of gree paint: £24.8 / 5 liter = £4.96 / liter

4. Profit

Price of each liter of green paint: £66.96 / 10 liters = £6.696 / liter = £6.70 / liter

Profit per liter = price per liter - cost per liter = £6.70/liter - £4.96 / liter = £1.74 / liter

Percentage profit = profit per liter / cost per liter × 100

Percentage profit = (£1.74 / liter) / (£4.96/liter) × 100 = 35.08% = 35%

4 0

3 years ago

12 week as a percent of 1 year ​

12 week as a percent of 1 year