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2 years ago

Right Triangles and Trigonometry Homework 5

Mathematics

1 answer:

gavmur [86]2 years ago

4 0

this picture has bad quality, please resend with better picture so i can answer all of them

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A semi trailer is being packed with boxes that are 1 1/2 feet on each edge. The cargo space of the trailer is 28 feet long, 8 1/

CaHeK987 [17]

Answer: Last option is correct.

Step-by-step explanation:

Since we have given that

Length of the cargo space of the trailer = 28 ft

Width of the cargo space of the trailer is given by

$8\frac{1}{2}\\\\=\frac{17}{2}\ ft$

Height of the cargo space of the trailer is given by

$9\frac{1}{6}\\\\=\frac{55}{6}\ ft$

Volume of the cargo space of the trailer is given by

$Volume=length\times width\times height\\\\Volume=28\times \frac{17}{2}\times \frac{55}{6}\\\\Volume=2181.67\ cm^3$

Now. Length of each edge of a semi-trailer is given by

$1\frac{1}{2}\\\\=\frac{3}{2}\ ft$

So, Volume of semi-trailer is given by

$Volume=a^3\\\\Volume=\frac{3}{2}\times \frac{3}{2}\times \frac{3}{2}\\\\Volume=\frac{27}{8}\\\\Volume=3.375\ ft^3$

So, Maximum number of boxes that will fit inside the trailer is given by

$\frac{\text{Volume of cargo space}}{\text{ volume of semi trailer}}\\\\=\frac{2181.67}{3.375}\\\\=646.42$

Hence, According to options, it is nearest to 633.

Therefore, Last option is correct.

5 0

3 years ago

5. Here are the first four terms of an arithmetic sequence: 6, 10, 14, 18..

Mademuasel [1]

Answer:

it hard too

Step-by-step explanation:

it's hard also so

7 0

2 years ago

Read 2 more answers

What is the length of segment AB with point A and B located at (-4, 1) and (2, 9)

navik [9.2K]

Answer:

<h3>The answer is 10 units</h3>

Step-by-step explanation:

The distance between two points or a line segment can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4, 1) and (2, 9)

The length of segment AB is

$|AB| = \sqrt{ ({ - 4 - 2})^{2} + ({1 - 9})^{2} } \\ = \sqrt{( { - 6})^{2} + ({ - 8})^{2} } \\ = \sqrt{36 + 64} \\ = \sqrt{100} \: \: \: \: \: \: \: \: \\ = 10 \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

We have the final answer as

<h3>10 units</h3>

Hope this helps you

4 0

2 years ago

Read 2 more answers

Graph the image of this figure after a dilation with a scale factor of 1/3

aliya0001 [1]

Answer:

(-1,1), (1,3), (2,2)

Step-by-step explanation:

To dilate an object, we need to multiply the x and y values by the given scale factor.

In this case the scale factor is 1/3 --> 1/3(x, y)

Before-> After dilation

1/3(-3,3) = (-1,1)

1/3(3,9) = (1,3)

1/3(6,6) = (2,2)

Please leave a 'thanks' if this helps!

8 0

3 years ago

Whoever gets the specific and correct answer will get Brainlist.<br> Goooood luckkk <3

Elena-2011 [213]

Answer:

$6 per hour

Step-by-step explanation:

30 for 5 hours

$6 per hour

7 0

2 years ago