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tigry1 [53]
3 years ago
9

Find the volume of the prism

Mathematics
1 answer:
Andrei [34K]3 years ago
8 0

Answer:

440cm³

Step-by-step explanation:

Area of trapezium base=

\frac{1}{2} \times (a + b) \times h

\frac{1}{2} \times (8 + 14) \times 4

\frac{1}{2} \times 22 \times 4 \\  =  \frac{88}{2}  \\  = 44 {cm}^{3}

Volume=Area or trapezium x Height between trapezium ends

= 44 \times 10 \\  = 440 {cm}^{3}

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How do you simplify 7x×4y×2y^2
belka [17]
The answer is: 56xy³
_______________________________
Explanation:
_______________________________
Find the "like terms"; which are: 
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"4y" and "2y<span>²"
_______________________________
The remaining term is: "7x".
_____________________________________
The problem is a "multiplication problem" :
___________________________________________
7x * 4y * </span>2y² ; so start by multiplying the "like terms" :
<span>___________________________________________
4y * 2y</span>² = 8y<span>³
____________________________________________
Then the remaining term is "7x";
        so, multiply that by our obtained value: "</span>8y³ " :
_____________________________________________
7x * 8y³  = 56xy³ ; which is our answer:
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6 0
3 years ago
I need help with this now pls!!
zubka84 [21]

Answer:

first box 9.6 2nd box 7.2 third box 12

Step-by-step explanation:

9.6 is the missing height 12 is the hypotenuse is always last

6 0
3 years ago
Write the expression that is represented by the phrase below.
Inga [223]

Answer:

y^2-(x+4)

Step-by-step explanation:

y^2-(x+4)

3 0
2 years ago
Read 2 more answers
Question:
aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

so

Let

z ----> the scale factor

\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}

The scale factor is equal to

z=\frac{CB}{C'B'}

substitute

z=\frac{4}{8}

simplify

z=\frac{1}{2}

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

A=\frac{1}{2}(2)(4)=4\ units^2

<em>Area of the large triangle</em>

A=\frac{1}{2}(4)(8)=16\ units^2

ratio of the areas (small to large)

ratio=\frac{4}{16}=\frac{1}{4}

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0
4 years ago
A softball player made a hit 34 times in the last 170 times at bat . Find the probability that the softball player will get a hi
Gennadij [26K]

Answer:

1/5

Step-by-step explanation:

34/170 = 1/5

p(hit) = 1/5

6 0
3 years ago
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