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USPshnik [31]
3 years ago
5

Please help and include an explanation !!

Mathematics
1 answer:
tiny-mole [99]3 years ago
5 0

Answer:

Surface area = 1135.73

Step-by-step explanation:

Calculate the height first = base 7cm & hyp 25cm = 24cm length. A=lw+l(w2)2+h2+w(l2)2+h2=30·7+30·(7

2)2+242+7·(30

2)2+242≈1135.72957

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A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width. How many inches of t
Andre45 [30]

Answer:   Width of box is not taken up by pencils =  2\dfrac58\text{ inches}

Width of each pencil =\dfrac38\text{ inches}

Step-by-step explanation:

Given: Width of pencil box = 5\dfrac14\text{ inches}=\dfrac{21}{4}\text{ inches}

Width of seven pencils = 2\dfrac58\text{ inches}=\dfrac{16+5}{8}\text{ inches}=\dfrac{21}{8}\text{ inches}

Width of box is not taken up by pencils =  Width of pencil box  - Width of seven pencils

\left \{ {{y=2} \atop {x=2}} \right. \dfrac{21}{4}-\dfrac{21}{8}\\\\=\dfrac{21\times2-21}{8}\\\\=\dfrac{21}{8}\text{ inches}=2\dfrac58\text{ inches}

Width of box is not taken up by pencils =  2\dfrac58\text{ inches}

Width of each pencil = (Width of seven pencils ) ÷ 7

=\dfrac{21}{8}\div7\\\\=\dfrac{21}{8}\times\dfrac17\\\\=\dfrac38\text{ inches}

Width of each pencil =\dfrac38\text{ inches}

3 0
2 years ago
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Figure ABCD is dilated by a scale factor of 1/3. If point B is at (6,-3), where will point B’ be located
Lesechka [4]

Answer:

Step-by-step explanation:

Multiply both numbers by 1/3. That is your new coordinates. (2, -1)

5 0
3 years ago
Triangle ABC has translated 2 units left and 1 unit up. What is the new location of point C?
KonstantinChe [14]

Answer:

What are the coordinates for point C?

6 0
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If p is a point with polar coordinates ​(r,thetaθ​), the rectangular coordinates​ (x,y) of p are given by xequals=​_______ and y
Anuta_ua [19.1K]

Answer:

x = r cos theta and y = r sin theta

Step-by-step explanation:

cos theta = x / r  so:-

x = r cos theta

and sin theta = y / r, so

y =  r sin theta

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3 years ago
A rectangular prism measures 3ft by 6ft by 5ft. If the dimensions of the box were all quadrupled. How would the surface area of
Blababa [14]

The surface area of a shape is the amount of space on the shape

When the dimensions are quadrupled, the new surface area would be 16 times the initial surface area

<h3>How to determine the surface area</h3>

The surface area of a rectangular prism is:

S = 2 * (lw + lh + wh)

When quadrupled, we have:

S_2 = 2 * (16lw + 16lh + 16wh)

Factor out 16

S_2 =16 * 2 * (lw + lh + wh)

Substitute S = 2 * (lw + lh + wh)

S_2 =16 * 2 * S

The above means that:

The new surface area would be 16 times the initial surface area

Read more about surface areas at:

brainly.com/question/24571594

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