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7nadin3 [17]
3 years ago
12

Mhanifa please help! This is my last question for this section. Solve for the unknown in each triangle. Round to the nearest ten

th.

Mathematics
1 answer:
finlep [7]3 years ago
3 0

Answer:

<u>Find the missing angle:</u>

  • 180° - (118° + 52°) = 10°

<u>Use the law of sines:</u>

  • x / sin 10° = 45 / sin 52°
  • x = 45 sin 10° / sin 52°
  • x = 9.9 m
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Not sure if i got this right?
aleksandrvk [35]

Answer:

The effect it will have on the volume is;

The volume will be 8 times larger

Step-by-step explanation:

The dimensions of the given prism are;

The length of the prism, l = 5 in.

The breadth of the prism, b = 5 in.

The slant height of the prism,  = 4 in. by 5 in.

The height of the prism, h = 7 in.

The shape of the prism = Parallelepiped

The volume of a parallelepiped = Area of Base × Height of the prism

The base area of the parallelepiped = The length × Breadth of the parallelepiped

∴ The base area of the given parallelepiped = 5 in. × 5 in. = 25 in.²

The volume of the given parallelepiped, V₁ is found as follows;

V₁ = 5 in. × 5 in. × 7 in. = 25 in.² × 7 in. = 175 in.³

When a scale factor of 2 in applied to the dimensions of the prism, we have;

The new volume, V₂ =  2 × 5 in. × 2 × 5 in. × 2 × 7 in.

∴ V₂ = 2 × 2 × 2 × 5 in. × 5 in. × 7 in. = 8 × 5 in. × 5 in. × 7 in. = 8 × V₁

Therefore;

V₂ = 8 × V₁

The volume of the image of the object, V₂ after applying a scale factor of 2 is 8 times larger than the volume of the object, V₁.

5 0
3 years ago
Which of the following is equivalent to 8(5f – 7) + 3f
Amiraneli [1.4K]
A I am pretty sure I don’t no fully but I’m pretty sure
3 0
3 years ago
50 POINTS!!
balandron [24]
1200 / 5 = 240
1200 - 240 = 960
6 0
3 years ago
Read 2 more answers
What is the area of the following circle with radius of 7
seropon [69]

Answer:

153.94

Step-by-step explanation:

\pi r^{2}\\\pi  (7)^2\\=153.94--->about this amount

5 0
3 years ago
It takes Bobby 12 hours longer to build a robot than it takes Alex. Together, they can build the Robot in 8 hours. How long does
anyanavicka [17]

Answer:

24 hours

Step-by-step explanation:

The computation of the number of hours taken by Bobby to build the robot by himself is shown below:

Given that

Bobby could take 12 hours

Together they could build in 8 hours

So based on the above information

the number of hours taken by Bobby to build the robot by himself is

Let us assume the above line be x

So,

\frac{1}{8}-\frac{1}{12} = \frac{1}{x}  \\\\\frac{6 - 4}{48} = \frac{1}{x}  \\\\\frac{2}{48} = \frac{1}{x}  \\\\x = \frac{48}{2}

x = 24 hours

6 0
3 years ago
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