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Gala2k [10]
3 years ago
7

Work out the area of the trapezium ABDE.

Mathematics
1 answer:
BartSMP [9]3 years ago
6 0

Answer:

Step-by-step explanation:

Area of a trapezoid = h x (b1+ b2)/2

h= height

b1 and b2 are the bases

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1/3x(-6+27y-51z)simplify
Naya [18.7K]
Final result :

9y - 17z - 2
Step by step solution :

Step 1 :

1
Simplify —
3
Equation at the end of step 1 :

1
— • (27y - 51z - 6)
3
Step 2 :

Pulling out like terms :

3.1 Pull out like factors :

27y - 51z - 6 = 3 • (9y - 17z - 2)

Final result :

9y - 17z - 2
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3 years ago
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Which fraction is equivalent to (1/2)(1/2)(1/2)
aniked [119]

Answer:

3/6       4/8

Step-by-step explanation:

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Statements that are true for a cylinder with radius r and height h.
vampirchik [111]

Answer:

Only the second and third statements are correct:

Doubling <em>r</em> quadruples the volume.

Doubling <em>h</em> doubles the volume.

Step-by-step explanation:

The volume of a cylinder is given by:

\displaystyle V=\pi r^2h

We can go through each statement and examine its validity.

Statement 1)

If the radius is doubled, our new radius is now 2<em>r</em>. Hence, our volume is:

\displaystyle V=\pi (2r)^2h=4\pi r^2h

So, compared to the old volume, the new volume is quadrupled the original volume.

Statement 1 is not correct.

Statement 2)

Using the previous reasonsing, Statement 2 is correct.

Statement 3)

If the height is doubled, our new height is now 2<em>h</em>. Hence, our volume is:

V=\pi r^2(2h)=2\pi r^2h

So, compared to the old volume, the new volume has been doubled.

Statement 3 is correct.

Statement 4)

Statement 4 is not correct using the previous reasonsing.

Statement 5)

Doubling the radius results in 2<em>r</em> and doubling the height results in 2<em>h</em>. Hence, the new volume is:

V=\pi (2r)^2(2h)=\pi (4r^2)(2h)=8\pi r^2h

So, compared to the old volume, the new volume is increased by eight-fold.

Statement 5 is not correct.

7 0
3 years ago
What is the unit rate for 14 lb for $2.99
Alexeev081 [22]
How much for 1lb
2.99/14=0.213/1=$0.21

it is 21 cents per lb
4 0
3 years ago
7 times something equals 94
Mariulka [41]
7 × __ = 94

Divide by 7 on both side.

__ = 94 ÷ 7

Answer = 13 3/7
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