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KATRIN_1 [288]
3 years ago
8

Find the measure of the indicated angle to the nearest degree

Mathematics
1 answer:
scoundrel [369]3 years ago
7 0

\boxed{\sf tan\theta=\dfrac{p}{b}}

\\ \sf\longmapsto tan\theta=\dfrac{13}{20}

\\ \sf\longmapsto tan\theta=0.6

\\ \sf\longmapsto tan\theta\approx\dfrac{1}{\sqrt{3}}

\\ \sf\longmapsto tan\theta\approx tan60

\\ \sf\longmapsto \theta\approx 60°

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A ratio of shirts to belts in a persons closet is 3:2 if there are 24 shirts in the closet how many belts are in the closet?
Lera25 [3.4K]

Answer: there are 16 belts.

Step-by-step explanation: because

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3 years ago
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What is the amplitude of this function f(x) ? f(x)=34cos(3x)+4
jeyben [28]

Answer:

The amplitude is 34. So therefore your answer is 34.

Step-by-step explanation:

Vertical Shift: 4

Amplitude: 34

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3 years ago
Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each bea
xz_007 [3.2K]

Answer:

To make a profit of at least $500 she must sell at least 12 necklaces

Step-by-step explanation:

Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each beaded necklace was $15. If Joyce sells the beaded necklaces at $35 each then we have to find beaded necklaces she sell to make a profit of at least $500.

The costs side of the equation, we have:

Let no. of necklaces that she sell are x

∴ The cost of making and packaging x beaded necklace is $15x

Total Cost = 95+15x

Now, Joyce sells the beaded necklaces at $35 each. Therefore, selling price will be $35x

To make a profit of at least $500 the equation can be written as

95+15x+500\leq35x

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Hence,  to make a profit of at least $500 she must sell at least 12 necklaces



7 0
3 years ago
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
yan [13]

Answer:

  138.16 in²

Step-by-step explanation:

The surface area SA of the cone is the sum of the base area B and the lateral area LA. The lateral area is half the product of the circumference and the slant height. The radius is half the diameter, so is 4 inches.

  SA = B + LA

  = πr² + (1/2)(2πrh) . . . . where h is the slant height

  = (πr)(r +h)

Filling in the numbers, you have ...

  SA = (3.14)(4 in)(4 in + 7 in) = 3.14×(44 in²) = 138.16 in²

7 0
3 years ago
The mean of a normal probability distribution is 500 and the standard deviation is 10. about 95 percent of the observations lie
PIT_PIT [208]

Answer:

So about 95 percent of the observations lie between 480 and 520.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

The mean is 500 and the standard deviation is 10.

About 95 percent of the observations lie between what two values?

From the Empirical Rule, this is from 500 - 2*10 = 480 to 500 + 2*10 = 520.

So about 95 percent of the observations lie between 480 and 520.

5 0
3 years ago
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