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charle [14.2K]
3 years ago
15

I need help with these two questions

Mathematics
1 answer:
Pepsi [2]3 years ago
4 0

Answer:

Given

Step-by-step explanation:

The Lateral surface area is the surface area of only 4 sides of the figure, that is, area excluding top and bottoms sides.

Lateral surface area of cuboid

= 2h (l+b)

where h is height

b is breadth

l is length

= 2*12 (5+4)

= 2*12*9

= 216 m^2

Lateral surface area of cube

= 4s^2

where s is the side

= 4*(2)^2

= 4*4

= 16m^2

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Match each expression with an equivalent expression.
Marysya12 [62]

Answer:

6x-4y →  4.  2(3x-2y)

6-4x →    3.  2(3-2x)

6x-4x →  1. 2x

6x-4 →   2. 2(3x-2)

Step-by-step explanation:

You need to:

 Factor out 2 from 6x-4y,  then you get the equivalent expression:

=2(3x-2y) this matches with OPTION 4

Factor out 2 from 6-4y, then you get the equivalent expression:

=2(3-2x) this matches with OPTION 3

Make the subtraction for 6x-4x,  then you get the equivalent expression:

=2x this matches with OPTION 1

Factor out 2 from 6x-4,  then you get the equivalent expression:

=2(3x-2) this matches with OPTION 2

3 0
3 years ago
Read 2 more answers
Which fraction is the simplest form of 16/34
Alex_Xolod [135]

Answer:

Good Morning you answer is 8/17

Step-by-step explanation:

you halve 16 and 34 getting 8 and 17

17 is a prime number so you can not divide any more

6 0
3 years ago
Read 2 more answers
Lake Michigan's volume is approximately 1,180 cubic miles and its surface area is approximately 14,332,090 acres. The 2015 water
galben [10]

Answer:

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

         = 624,305,840,400 \times  0.9167  

         = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

      = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

      =  0.0033

      = 0.33%

Step-by-step explanation:

i) acres to square feet :    1 acre = 43560 square feet

  therefore 14,332,090 acres  = 624,305,840,400 square feet

ii) 1 mile  = 5280 feet

   1 cubic mile  = 5280 \times 5280 \times 5280 = 147,197,952,000 cubic feet

therefore 1180 cubic miles  = 173,693,585,360,000 cubic feet

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

    = 624,305,840,400 \times  0.9167   = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

  = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

   =  0.0033

  = 0.33%

7 0
3 years ago
Need help with this problem for my cousin
yKpoI14uk [10]
You have separated the figure into three (3) parts. There are two squares (or rectangles on the bottom. Subtract 5 from 8 to find out the length of the side (right side). 8-5=3. Then subtract 3 from 8 (8-3=5). The new length is 5 ft. 5 multiplied by 5 is the area of one of the squares on the bottom (25 ft. squared). Multiply that by two to find the area of both the squares on the bottom (50 ft. squared).

There's also a rectangle on the top. The base is 15 ft. and the height is 3 ft. Remember that you subtracted 5 from 8 to find out the area of the two bottom squares. 15 multiplied by 3 is 45 (ft.)

Add 45 to 50 to get the area of the entire figure. (45+50=95 or 95 ft. squared).

95 ft. squared is the area of the entire figure. Hope this helped you.
3 0
3 years ago
28 &lt; 4v <br> solve for v <br> pls help
DedPeter [7]

Answer:

v = 7

Step-by-step explanation:

Divide both sides by 4 to isolate v

28/4 = 4v/4

v = 7

5 0
3 years ago
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