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Debora [2.8K]
3 years ago
14

Simplify to create an equivalent expression -4(z+3)-4(5-4z)

Mathematics
1 answer:
Luda [366]3 years ago
8 0
The simplified answer is 12z-32
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Find the volume of the cone shown below. 20 16 12
lina2011 [118]
There is no picture but it’s 768 π
7 0
2 years ago
Hello! How do I find the surface area of this prism? Thanks!
Studentka2010 [4]
Answer: Choice C) 124 square cm

------------------------------------------------------------------

Explanation:

Let's calculate the area of the trapezoid shown
b1 and b2 are the parallel bases; h is the height of the 2D trapezoid
b1 = 2
b2 = 5
h = 1.5

A = h*(b1+b2)/2
A = 1.5*(2+5)/2
A = 1.5*7/2
A = 10.5/2
A = 5.25
The area of one 2D trapezoid is 5.25 sq cm
There are two of these trapezoids that form the base faces of the trapezoidal prism. So the total base area is 2*5.25 = 10.5 sq cm
Keep this value (10.5) in mind. We'll use it later.

------------

Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
where 
p = perimeter of the trapezoid shown
d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
This formula works for any polygonal base. It doesn't have to be a trapezoid.

In this case the perimeter is,
p = 1.7+2+2.65+5
p = 11.35

So
LSA = p*d
LSA = 11.35*10
LSA = 113.5

Add this LSA to the base area found earlier
10.5+113.5 = 124

The total surface area is 124 square cm
8 0
4 years ago
Find the value of "Y" if;<br>Y-3 [4-2Y] = 16​
Ivanshal [37]

Answer:

y=4

Step-by-step explanation:

hello :

Y-3 (4-2Y) = 16​

y-12+6y = 16​

7y-12=16

so :7y =12+16

7y=28

y=28/7 =4

4 0
3 years ago
Lilly is a pizza driver. Lilly has to make 4 deliveries.
Veronika [31]

Answer:

23 min 30 sec

Step-by-step explanation:

First, you add 35 + 14 + 18 + 27 which is 94.
Next, you divide 94 by the number of deliveries there were. Which is 4.
94/4 = 23.5.
So your answer would be 23 minutes and 30 seconds.

I Hope This Helped :D

5 0
2 years ago
Read 2 more answers
How do I convert 12mi/hr = ? Ft/hr
Blizzard [7]
One mile equals 5,280 feet, therefore you would multiply 12 x 5,280 which is 63360 feet per hour.
5 0
3 years ago
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