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avanturin [10]
2 years ago
9

This is the question in the photo above.

Mathematics
1 answer:
charle [14.2K]2 years ago
4 0

Answer:

an alternative hypothesis is an angle that is alternate to each other

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The mirror is 5 feet in front of him and is approximately 40 feet from the base of the mountain. ∆ Jackson is 6’4” tall. Approxi
likoan [24]

The height of the top of the mountain is 50.67 feet

<h3>The mirror</h3>

Jackson placing the mirror in front of him will result in relations that have equivalent ratios.

<h3>Equivalent ratios</h3>

So, the equivalent ratios are represented as:

5\ ft : 40 \ ft= 6'4" : x

Where x represents the height of the mountain

Cancel out the common units

5 : 40= 6'4" : x

Express as fractions

\frac{5 }{ 40}= \frac{6'4" }{ x}

Make x the subject

x = 6'4" \times \frac{40}{5}

x = 6'4" \times 8

Multiply

x = 48'\ 32"

Convert the unit to feet

x = 48' + \frac{32}{12}'

x = 48' + 2.67'

x = 50.67'

Hence, the height of the top of the mountain is 50.67 feet

Read more about equivalent ratios at:

brainly.com/question/2328454

8 0
3 years ago
Sarah is 50 years old. she is twice as old as her friend bill and bill is 5 times as old as his sister jane. jane's mom is 12 ti
Pavlova-9 [17]
10 years. Bill is 25, his sister is 5, and their mother is 60.
7 0
4 years ago
Read 2 more answers
Tamara has 14 red gel pens and 16 snap bracelets for goodie bags
sweet-ann [11.9K]

Answer:

ok??? whats the question?

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A cyclist rides at a constant speed, traveling 30 miles in 1.5 hours. Write a proportion that gives the number x of miles the cy
klio [65]

Answer:

We can write proportion as:

\frac{\mathbf{30\:miles}}{1.5\:hours}=\mathbf{\frac{x\:miles}{4\:hours}}

Step-by-step explanation:

A cyclist rides at a constant speed, traveling 30 miles in 1.5 hours. Write a proportion that gives the number x of miles the cyclist rides in 4 hours

Proportion:

A proportion is used when two ratios are equal. It can be written as a/b=c/d

In our case we have:

a= 30 miles

b = 1.5 hours

c = x miles

d = 4 hours

We can write proportion as:

\frac{\mathbf{30\:miles}}{1.5\:hours}=\mathbf{\frac{x\:miles}{4\:hours}}

5 0
3 years ago
fence is to be built to enclose a rectangular area of 250 square feet. The fence along three sides is to be made of material tha
Morgarella [4.7K]

Answer:

23.05 x 10.85

Step-by-step explanation:

Area of Rectangular Fence = L * W = 250ft^{2}

L * W = 250

W = \frac{250}{L}                                      ................................... (i)

Perimeter = 2L + 2W

Three sides cost 4 dollars per foot = 4(2L) + 4W

(The two lengths must be constructed with the 4 dollars materials)

Fourth side costs 13 dollars per foot = 13W

Cost = 4(2L) + 4W + 13W

C = 8L + 17W                         ...................................... (ii)

Substitute (i) into (ii)

C = 8L + 17 (\frac{250}{L})

C = 8L + \frac{4250}{L}  

Plotting this equation with L on the x-axis and cost on the y-axis

minimum cost will be when L ≈ 23.05 ft

W = \frac{250}{23.05} ≈ 10.85 ft

minimum cost = 8(23.05) + \frac{4250}{23.05}

minimum cost = 184.4 + 184.382

minimum cost ≈ 368.78 dollars

5 0
4 years ago
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