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jeka94
3 years ago
12

Find the value of x. Express your answer in simplest radical form.

Mathematics
1 answer:
Rainbow [258]3 years ago
5 0

Answer:

\sin(45)  =  \frac{x}{5}  \\  \\   =  >  \frac{ \sqrt{2} }{2}  =  \frac{x}{5}  \\  \\  <  =  > x =  \frac{5 \sqrt{2} }{2}

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A small box in the shape of a cube for packaging has a volume of 64 cubic inches.
Oduvanchick [21]
  1. The volume of a medium box is 512 cubic inches.
  2. The ratio of the sides of the small box to the medium box is 1:2.
  3. The ratio of the area of the small box to the medium box is 1:4.
  4. The ratio of the volume of the small box to the medium box is 1:8.

<h3>What are the ratio of the small box to the medium box?</h3>

The first step is to determine the side lengths of the small box.

Side length = ∛64 = 4 in

Side lengths of the medium boxes = 4 x 2 = 8 inches

Volume of the medium box = 8³ = 256 cubic inches

The ratio of the sides of the small box to the medium box = 4 : 8 = 1:2.

The ratio of the area of the small box to the medium box= (4 x 4) : (8 x 8) =  1:4.

The ratio of the volume of the small box to the medium box = 4³ : 8³ = 1 : 8.

To learn more about the volume of a cuboid, please check: brainly.com/question/26406747

5 0
2 years ago
Which of the following describes a net of the prism
Grace [21]

The answer is C

Explanation; there are 2 triangles and 3 rectangles

7 0
3 years ago
Read 2 more answers
Can someone help me with this, please? I'm not sure how to solve this.
bazaltina [42]

Answer:

11.) 10w^2 + 43w + 21.

12.) -15y^2 - 2y + 8

Check the explanation for details

Step-by-step explanation:

11.) You are meant to multiply each row by both columns. For instance, multiply 5w by 2w and 7 you will get 10 w^2 and 35 w

Also, multiply 3 by both 2w and 7 you will get 6w and 21. Therefore,

Expansion of ( 5w + 3 )( 2w + 7 ) will produce 10w^2 + 37w + 6w + 21

= 10w^2 + 43w + 21.

12.) Repeat the same process by multiplying row by column.

Multiply -3y by 5y and 4 you will get -15y^2 and -12y.

Also, multiply 2 by same 5y and 4. You will get 10y and 8

Therefore, the expansion of

( -3y + 2 )( 5y + 4 ) will be

-15y^2 - 12y + 10y + 8

-15y^2 - 2y + 8

4 0
3 years ago
How can you do this question!!!??? i need help immediately!!!
slega [8]

Answer:

i think its 5, use the magic numbers of pythagoras theorem to help u it might not be correct, use at ur own risk

6 0
3 years ago
WORTH 20 PTS!!!
Rama09 [41]
For this case we have the following function:
 A (t) = A0e ^ {(kt)}&#10;
 Where,
 A0: initial population
 K: rate of change
 t: time in years
 Substituting values we have:
 A (t) = 22000 * e ^ {(- 0.021 * t)}&#10;
 For the year 2015 we have:
 A (t) = 22000 * e ^ {(- 0.021 * 5)}&#10;&#10;A (t) = 19807
 Answer:
 
the predicted population in 2015 is:
 
19,807
7 0
3 years ago
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