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Olenka [21]
3 years ago
11

A ladder leans against the side of a house. The angle of elevation of the ladder is 66 degrees, and the top of the ladder is 15

ft above the ground. Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth.
Mathematics
1 answer:
skelet666 [1.2K]3 years ago
3 0

Answer:

x ≈ 6.7 ft

Step-by-step explanation:

We are going to use tan∅ to find our answer:

tan66° = 15/x

xtan66° = 15

x = 15/tan66°

x = 6.67843 ft

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A graph of average resting heart rates is shown below. The average resting heart rate for adults is 72 beats per
Fed [463]

Answer:

Option (1)

Step-by-step explanation:

Characteristics of the graph attached,

1). Heart rates of the teenagers (0 to 20 years) varies from 112 beats per minute to 72 beats per minute.

2). Heart rates of the adults (20 years to 50 years) remains constant (72 beats per minute)

Option 1). Since average resting heart rate of the teenagers decreases from 0 to 10 years, so at the 20 years of age heart rate will be less than a teenager of 20 years.

Therefore, statement is not supported by the graph.

Option (2). A 20-year-old has the same average resting heart as at 30-year-old. [True]

Therefore, this option is supported by the graph.

Option (3). A 40-year-old may have the same average resting heart rate for 10 years.

[True]

Therefore, this statement is supported by the graph.

Option (4). The average resting heart rate for teenagers steadily decreases.

[True]. There is a linear decrease in the teenagers heart rate shown in the graph.

Therefore, the given statement is true and supported by the graph.

Option (1) will be the answer.

3 0
3 years ago
This cake was sliced diagonally.What shape will the cross-section make?
marta [7]
If you were to cut a cake diagonally we could say the result would be an oval. Please refer to the image I provided below. 

7 0
3 years ago
Read 2 more answers
Is the following relation a function? *
spayn [35]

Answer:

No.

Step-by-step explanation:

Well at first glance it might seem so but there are two points particularly that can tell you that these points cannot be within a function.

The points (3,2) and (3,-2) will yield an undefined slope (a straight vertical line). There is no possibility that the other points can be in this line (as their y - values are different) and there is no possibilty that this is a function at all according to the vertical line test (the test is that if you draw a vertical line that there shouldn't be more than one point on it).

8 0
3 years ago
JKL is a straight line.
kirza4 [7]

Answer:

x = 32°

Step-by-step explanation:

∆KLM is an isosceles triangle because it has two equal sides, KL & KM. Therefore, the angles opposite to each of the two equal sides, which are referred to as the base angles are congruent to each other.

m<KML = m<KLM = 58°

m<MKL = 180 - (58 + 58) (Sum of triangle)

m<MKL = 64°

m<JKM = 180 - m<MKL (linear pair theorem)

m<JKM = 180 - 64 (Substitution)

m<JKM = 116°

∆JKM is also an isosceles triangle with two equal sides. Therefore, it's based angles (x & <J) would also be equal to each other.

Thus:

x = ½(180 - m<JKM)

x = ½(180 - 116) (Substitution)

x = 32°

3 0
3 years ago
A scuba diver descends farther down into the ocean from an initial depth of 15.2 feet below sea level. The scuba diver descends
gavmur [86]

Answer:

r <= 12.6

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Let's calculate the rate at which he descends:

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5 0
2 years ago
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