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Look at the model below which are true

OLga [1]

3(2+x)

open the parenthesis

= 6 + 3x

3(2+x) = 6 + 3x

Hence the statement of equality is true

H is the correct option

6 0

1 year ago

Calculate the surface area and volume of the shape below.

pav-90 [236]

Surface area

Let's calculate the surface area of the rectangular block. It has length, width and height of L = 15, W = 5, H = 8. The surface area is going to be

SA = 2*(LW+WH+LH)

SA = 2*(15*5+5*8+15*8)

SA = 470

This is without the cylinder attached to the top surface. If we account for that, then we'll have to subtract off the area of the circle covered up which is

pi*r^2 = pi*3^2 = 9pi = 28.27433 approximately

So 470-28.27433 = 441.72567 is the approximate surface area of the rectangular block after we subtract off the circular portion covered up by the cylinder.

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The lateral surface area of the cylinder is approximately

2*pi*r*h = 2*pi*3*4 = 24pi = 75.39822

Which adds onto the top circular area of 28.27433 to get 28.27433+75.39822 = 103.67255

Meaning that 103.67255 is the surface area for the cylinder portion. Again we don't worry about the bottom portion as it's not part of the outer surface.

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Overall, the total surface area of this compound 3D figure is

(surface area for rectangular portion) + (surface area cylinder portion) = 441.72567+103.67255 = 545.39822

When rounding to the nearest whole number, the total surface area is about 545 square cm

<h3>Answer: 545 square cm</h3>

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Volume

The rectangular block has volume L*W*H = 15*5*8 = 600 cubic cm

The cylinder has volume pi*r^2*h = pi*3^2*4 = 113.0973355 approximately

Add the two volumes to get 600+113.0973355 = 713.0973355 and this rounds to 713. We don't have to do any subtraction in this section.

<h3>Answer: 713 cubic cm</h3>

4 0

3 years ago

Which correctly compares the medians and the measures of variability of the data in the box plots? Select three

LenKa [72]

Answer:

Yes it is right

Step-by-step explanation:

5 0

3 years ago

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A circular garden has a radius of 3.5 feet. Leslie is installing a fence around the edge of the garden using chicken wire and ne

PSYCHO15rus [73]

Answer:

B: 7 ft

Step-by-step explanation:

the diameter is twice the radius

: 3.5 ft ×2

=7 ft

3 0

2 years ago

It says: Find the surface area of the rectangular prism with l=16 m, w=19 m, annd h = 2 m

ratelena [41]

The surface area of a rectangular prism needs an formula.
For a rectangular prism you have to understand some about the shape.
It is a 3D shape consisting of 6 sides
all are rectangles
to determine the area of one rectangle is the base multiplied by the height or in this case length times with.
but you also need to account for all sides and the height.
so the Surface area formula would be like
$sa = l \times w + l \times h + w \times h$
this accounts for 3 of the sides of the rectangular prism.
the top,bottom,and side.
so to get the surface area of a rectangle prism you must mutiply each side by 2 to account for all sides of the rectangular prism.
so the surface area formula for a rectangular prism is
$SA = 2\\ \times l \times w +2 \times l \times h+2 \times h \times w$
I won't solve it for you but just plug in your values for l,w,and h into that formula and you will get your answer in metres squared or m
${m}^{2}$

8 0

3 years ago

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