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suter [353]
1 year ago
7

A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 64°. How high does the ladder rea

ch on the building?
Mathematics
1 answer:
vodka [1.7K]1 year ago
7 0

The height of the ladder on the building is 19.77 feet

<h3>How high does the ladder reach on the building?</h3>

Represent the height of the ladder on the building with h

So, the given parameters are:

Angle, x = 64 degrees

Length of ladder, l = 22 feet

The height of the ladder on the building is calculated using

sin(x) = h/l

Substitute the known values in the above equation

sin(64) = h/22

Multiply both sides by 22

h = 22 * sin(64)

Evaluate the product

h = 19.77

Hence, the height of the ladder on the building is 19.77 feet

Read more about elevation angles at

brainly.com/question/19594654

#SPJ1

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The Lone Star Shipping Company charges $14 plus $2 a pound to ship an overnight package. Discount Shipping Company charges $20 p
Ymorist [56]

Answer:

12 pound

Step-by-step explanation:

Let x be the weight of the package.

For Lone Star Shipping, the cost will be:

2x + 14

For Discount Shipping Company, the cost will be:

1.5x + 20

We hence equate these two expressions equal to each other, since the cost should be same.

2x + 14 = 1.5x + 20 \\2x - 1.5x = 20 -14\\0.5x = 6\\x = 6 \div 0.5\\x = 12

4 0
3 years ago
Suppose there was a cancer diagnostic test was 95% accurate both on those that do and those do not have the disease. If 0.4% of
Musya8 [376]

Complete Question

Suppose there was a cancer diagnostic test was 95% accurate both on those that do and 90% on  those do not have the disease. If 0.4% of the population have cancer, compute the probability that a particular individual has cancer, given that the test indicates he or she has cancer.

Answer:

The probability is  P(C | A) =  0.0042

Step-by-step explanation:

From the question we are told that

The probability that the test was accurate given that the person has cancer is  

      P(A |  C)  = 0.95

The probability that the test was accurate given that the person  do not have cancer is  

      P(A |  C')  =  0.90

The probability that a person  has  cancer is  

      P(C) =  0.004

Generally the probability that a person do not have cancer is  

       P(C')  =  1- P(C)

=>    P(C')  =  1- 0.004

=>    P(C')  =  0.996

Generally the  probability that a particular individual has cancer, given that the test indicates he or she has cancer is according to  Bayes's theorem evaluated as

     P(C | A) =  \frac{P(A |  C) * P(C)}{P(A|C) * P(C) + P(A| C') * P(C')}

=>  P(C | A) =  \frac{ 0.95 * 0.004 }{ 0.95 * 0.004 + 0.90  * 0.996}

=>  P(C | A) =  0.0042

   

7 0
3 years ago
Which relationship between x and y in the equation shows a proportional relationship
balandron [24]

Answer:

The equation y = 3x shows a proportional relationship between x and y

Step-by-step explanation:

  • <em>The proportional relationship is represented graphically by a line passes through the </em><em>origin point </em>
  • <em>The equation of the proportional relationship is </em><em>y = m x</em>

Let us solve the question

Substitute x by 0 to find the value of y, if y = 0, then the line represents this equation passes through the origin point, then the equation shows a proportional relationship

∵ y = 3x

∵ x = 0

∴ y = 3(0)

∴ y = 0

→ That means the line that represents the equation passes through

   the origin point

∴ The equation y = 3x shows a proportional relationship between x and y

7 0
3 years ago
Which of the graphs below represents the soltuion set for d - 4 &gt; -3?
ella [17]

Answer:

The answer is d

Step-by-step explanation:

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3 years ago
What is 9+10 in mathematics
MrRa [10]

Answer: 21

Step-by-step explanation:

6 0
3 years ago
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