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3 years ago

What is the volume of this composite prism?

Mathematics

1 answer:

Inessa [10]3 years ago

3 0

Answer:

96 Units cubed

Step-by-step explanation:

12 x 2 x 2 = 48

4 x 6 x 2 = 48

48 + 48 = 96

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Write the solution of the inequality in set builder notation 7-3d>28

IgorC [24]

D<-7
{d | d<-7}
Hope this helps!

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3 years ago

Read 2 more answers

Find an equation of the circle that satisfies the given conditions.

hodyreva [135]

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the centre
r - the radius

The midpoint of the diameter is the centre of a circle.
The coordinates of the midpoint:
$(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$
(x₁,y₁), (x₂,y₂) - the coordinates of endpoints

$P(-1,1) \\
x_1=-1 \\ y_1=1 \\ \\ Q(5,9) \\ x_2=5 \\ y_2=9 \\ \\
\frac{x_1+x_2}{2}=\frac{-1+5}{2}=\frac{4}{2}=2 \\ \frac{y_1+y_2}{2}=\frac{1+9}{2}=\frac{10}{2}=5$

The centre of the circle is (2,5).

The radius is the distance between an endpoint of the diameter and the centre.
The formula for distance:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$(-1,1) \\ x_1=-1 \\ y_1=1 \\ \\ (2,5) \\ x_2=2 \\ y_2=5 \\ \\ d=\sqrt{(2-(-1))^2+(5-1)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5$

The radius is 5.

$(x-2)^2+(y-5)^2=5^2 \\
\boxed{(x-2)^2+(y-5)^2=25}$

4 0

2 years ago

PLEASE SHOW WORK AND HELP EXPLAIN: 12.42 divided by 4.6

Anni [7]

Answer:

12.42 = 1242 / 100;

4.6 = 46 / 10;

12.42 ÷ 4.6 = (1242 / 100) ÷ (46 / 10 ) = (1242 / 100) x (10 / 46 ) = ( 1242 / 46 ) x ( 100 / 10 ) = 27 x 10 = 270;

Step-by-step explanation:

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3 years ago

Jshduxnskhsnfkcnsicndkcjdnckdnckdnc

Alexxx [7]

Why u have so much letters lol what u need help on

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3 years ago

Travis was attempting to make muffins to take to a neighbor. The recipe that he was working with required ¾ cup of sugar and ⅛ c

KatRina [158]

Answer:

6 cups

Step-by-step explanation:

3/4x8=

7 0

3 years ago