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3 years ago

I need help finding the volume of this prism

Mathematics

2 answers:

DiKsa [7]3 years ago

4 0

Answer: 240 cm^3

Explanation: you find the area of the base triangle with the formula 1/2 x b x h which in this case is 1/2 x 10 x 6 which = 30, you then multiply by the length, 8.
8 x 30 = 240

Ad libitum [116K]3 years ago

3 0

Answer is 240 cm^3 hope this helps good luck

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Factor completely 4xy − 7x + 20y − 35.

kati45 [8]

Answer:

A) $(x+5)(4y-7)$

Step-by-step explanation:

Given expression:

$4xy-7x+20y-35$

To factor the given expression completely.

Solution:

In order to factor the expression, we will factor in pairs.

$(4xy-7x)+(20y-35)$

We will factor the G.C.F of the terms in the pairs.

G.C.F. of $4xy$ and $7x$ can be given as:

$4xy=4.x.y$

$-7x=7.x$

Thus, G.C.F. = $x$

G.C.F. of $20y$ and $35$ can be given as:

$20y=2\times 2 \times 5.y$

$35=5\times 7$

Thus, G.C.F. = $5$

The expression after factoring the G.C.F. pairs is given as:

$x(4y-7)+5(4y-7)$

Taking G.C.F. of the whole expression as $(4y-7)$ is a common term.

$(x+5)(4y-7)$

The expression is completely factored.

3 0

3 years ago

Read 2 more answers

Will give brainiest and extra points if the answer is correct

Setler79 [48]

Answer:

The range in the average rate of change in temperature of the substance is from a low temperature of $-22^{\circ}$ to a high of $16^{\circ}$ .

Step-by-step explanation:

In the sinusoidal function $y=a\sin(b(x-c))+d$ , $|a|$ represents the amplitude and $y=d$ represents the equation of the midline.

By definition sinusoidal functions ebb and flow with respect to this midline. Therefore, the minimums must occur at $y=d-|a|$ and the maximums must occur at $y=d+|a|$ .