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Drupady [299]
3 years ago
14

Let Angle w be an acute angle. Use a calculator to approximate the me

Mathematics
1 answer:
serious [3.7K]3 years ago
8 0

Answer:

<h2>49.5°</h2>

Step-by-step explanation:

Given the trigonometry function as shown sin W = 0.79, to get W, the following steps must be followed.

Step 1: Take the arcsin of both sides of the equation

sin^{-1}(sinW) =  sin^{-1}0.79\\W = sin^{-1}0.79

Step 2: Use a calculator to get the resulting value of W

W = 49.46^{0}

W = 49.5^{0} (to nearest tenth of a degree)

This gives the acute angle needed.

Note that acute angle are angles that are less than 90°

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the NACI cafeteria wants to sell two 25 cm diameter medium size pizzas for the same price as one large pizza. what should the di
Alex777 [14]

Answer:

35.34 centimeters

Step-by-step explanation:

The amount of pizza is same as the area. The pizza is in a shape of a circle. The area of a circle is:

A=\pi r^2

Where

r is the radius (half of diameter)

Area of one medium size pizza is (diameter 25 means radius is 25/2 = 12.5):

A=\pi r^2\\A=\pi (12.5)^2\\A=490.87

So, area of two of these medium size pizzas is:

490.87 * 2 = 981.74

This should be the area of the large pizza. We can find the radius of that by substituting into formula. Shown below:

A=\pi r^2\\981.75=\pi r^2\\r=\sqrt{\frac{981.74}{\pi}} \\r=17.67

Hence, the diameter would be around:

17.67 * 2 = 35.34 centimeters

5 0
3 years ago
What is 1/9 that is a fraction but what is 3 divided by 1/9​
SpyIntel [72]

Answer:

27

Step-by-step explanation:

4 0
3 years ago
A company can manufacture x hundred items for a total cost of C=300+1200x-100x. Find x if the total cost is 3,000
Scilla [17]
C=300+1200x-100x. Find x if the total cost is 3,000
3,000 = 300 + 1200x -100x
3000 = 300 + 1100x
2700 = 1100x
2700÷1100=x
x=27/11
x = 2 5/11 Round to 3
5 0
3 years ago
How do you solve -4x - 10 &lt; 2
viva [34]
There is a way and you will find it but not from me
5 0
3 years ago
The largest z-score available in most tables is 2.99, which corresponds to a probability of 99.86%. A fair coin is
lana66690 [7]

Answer:

The number of heads observed is 121.14 heads

Step-by-step explanation:

The formula for the z-score of a proportion is given as follows;

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{pq}{n}}}

Where:

{\hat{p} = Sample proportion

p = Population success proportion = 0.5

q = 1 - p = 1 - 0.5 = 0.5

n = Number in of observation = 200

z = 2.99

Hence, we have;

z=\dfrac{\hat{p}-0.5}{\sqrt{\dfrac{0.5 \times 0.5}{200}}} = 2.99

Therefore;

{\hat{p}-0.5}{} = 2.99 \times \sqrt{\dfrac{0.5 \times 0.5}{200}} = 2.99 \times\dfrac{\sqrt{2} }{40}

{\hat{p} = 0.6057

Whereby \ \hat p = \dfrac{Number \ of \ heads}{Number \ of \ observation} =  \dfrac{Number \ of \ heads}{200} = 0.6057

∴ The number of heads observed = 200 × 0.6057 = 121.14 heads.

5 0
3 years ago
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