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Nuetrik [128]
2 years ago
5

Xin leans a 26-foot ladder against a wall so that it forms an angle of 78^{\circ} ∘ with the ground. What’s the horizontal dista

nce between the base of the ladder and the wall? Round your answer to the nearest hundredth of a foot if necessary
Mathematics
1 answer:
defon2 years ago
5 0

The ladder and the wall it leans on are illustrations of right triangle

The horizontal distance from the base of the ladder is 5.41 feet

<h3>How to determine the horizontal distance?</h3>

The given parameters are:

Length (L) = 26 feet

Angle of elevation (θ) = 78 degrees

The horizontal distance (D) is calculated using the following cosine ratio

cos(θ) = D/L

Substitute known values

cos(78) = D/26

Make D the subject

D = 26 * cos(78)

Multiply

D = 5.41

Hence, the horizontal distance from the base of the ladder is 5.41 feet

Read more about right triangles at:

brainly.com/question/2437195

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cricket20 [7]

Answer:

Domain: x ≥ 0

Range: All real numbers

Step-by-step explanation:

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This means only the x values of 0 and greater are used in the function. Since the domain is the set of all x values then it is x≥0.

This also means that all y values are used on the y-axis. There is no restriction on the y values. Since the range is the set of all y values then it is all real numbers.

5 0
3 years ago
Write an equation for a rational function with:
katrin [286]

Answer:

Step-by-step explanation:

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3 0
2 years ago
Help show work<br> Thank you
Anika [276]
1.) v=(l)(w)(h)
V=(9)(9)(9)
V=(81)(9)
V=729in^3

2.) (I forget if this is the real equation to this but this would give you the same answer)

V=(l)(w)(h)
————
2
V=(8)(6)(12)
————-
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V=576/2

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7 0
3 years ago
18
Cloud [144]

Answer: 100

5

Step-by-step explanation:

a) The mean of a normal distribution is also the median. Half the population will have values above the mean. Half of 200 is 100, so ...

... 100 students will have grades above 70%.

b) 84% is 14% above the mean. Each 7% is 1 standard deviation, so 14% is 2 standard deviations above the mean. The empirical rule tells you 95% of the population is within 2 standard deviations of the mean, so about 5% of students (10 students) got grades higher than 84% or lower than 56%. The normal distribution is symmetrical, so we expect about 5 students in each range.

... about 5 students will have grades above 84%.

3 0
3 years ago
8,000 of 2ounces how many make 16 ounces
yan [13]
1,000 I guess I don't really understand the question
HAPPY THANKSGIVING!
7 0
3 years ago
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