What’s the answer to this question

egoroff_w [7]

A construction crew wants to hoist a heavy
beam so that it is standing up straight. They
tie a rope to the beam, secure the base, and
pull the rope through a pulley to raise one
end of the beam from the ground. When
the beam makes an angle of 40 degrees with the
ground, the top of the beam is 8 ft above
the ground.
Th e construction site has some telephone
wires crossing it. Th e workers are
concerned that the beam may hit the wires.
When the beam makes an angle of 60 degrees with
the ground, the wires are 2 ft above the top
of the beam. Will the beam clear the wires
on its way to standing up straight?

<span>Math - Steve Thursday, April 16, 2015 at 6:22pmwe see that the length of the beam is

8/sin40 = 12.45 ft

At 60 degrees, the top is

12.45sin60 = 10.78 ft high

So, the wire is 12.78 ft up.

Since the beam is only 12.45 ft long, it will not touch the wires.</span>

3 0

4 years ago

Determine the measure of the indicated angle in the following triangle:

devlian [24]

Answer:

Θ ≈ 58°

Step-by-step explanation:

using the Cosine Rule in the triangle

cosΘ = $\frac{80^2+60^2-70^2}{2(80)(60)}$ = $\frac{64000+3600-4900}{9600}$ = $\frac{5100}{9600}$ = $\frac{51}{96}$ , then

Θ = $cos^{-1}$ ( $\frac{51}{96}$ ) ≈ 58° ( to the nearest degree )

3 0

2 years ago

40 points fast For the following set of test scores, identify:

myrzilka [38]

Answer:

The measure of center would this student want his teacher to use is the

median $= {\bf 75}$

Mean $= {\bf 5}$ , Mode $={\bf 82}$ , Range $={\bf40}$ and Interquartile Range $= {\bf 32}$

Step-by-step explanation:

Given Data set $= 50,55,70,75,82,82,90$

Number of elements in data set $= 7$

To find Mean

The ‘Mean” is the average of a set of numbers.

The "Mean" is computed by adding all of the numbers in the data together and dividing by the number of elements contained in the data set.

Mean $= \frac{50 +55 +70 + 75 + 82 + 82 + 90} {7 }$

Mean $= \frac{504}{7}$

Mean $= 5$

Median

The “Median” is the middle value of a set of ordered numbers.

Therefore Median $=75$

Mode

The "Mode" for a set of data is the value that occurs most often.

It is not uncommon for a data set to have more than one mode. This happens when two or more elements occur with equal frequency in the data set.

Therefore Mode $=82$

Range

The "Range" is the difference between the largest value and smallest value in a set of data.

Range $= 90-50$

Range $= 40$

Interquartile Range

The “Interquartile Range” is the difference between smallest value and the largest value of the middle 50% of a set of data.

The "Interquartile Range" is from Q1 to Q3:

To find the interquartile range of a set of data:

The cut the list into four equal parts

. The quartiles are the “cuts”

The interquartile range is the distance between the two middle sets of data

Interquartile Range $= Q_3-Q_1$

Interquartile Range $= 82-50$

Interquartile Range $= 32$

5 0

3 years ago

It took Amari 2 hours to paint the first 14 feet of a 70 foot long fence. What percentage of the fence have they painted so far

umka21 [38]

Answer:

20%

Step-by-step explanation:

Divide

14/70 = 0.20

Convert from a decimal to a percent. You can multiply by 100 or move the decimal two places right.

0.20 x 100 = 20%

6 0

3 years ago

Write the simplified form of -64 1/3

Semenov [28]

Answer:

hope this helps

Step-by-step explanation:

To reduce a fraction to lowest terms (also called its simplest form), just divide both the numerator and denominator by the Greatest Common Factor (GCF or GCD). For example, 2/3 is in lowest form, but 4/6 is not in lowest form (the GCD of 4 and 6 is 2) and 4/6 can be expressed as 2/3.

8 0

3 years ago

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