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3 years ago

Please do it step by step!

Mathematics

1 answer:

andrey2020 [161]3 years ago

3 0

9514 1404 393

Answer:

80 in^3

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

V = 1/3Bh

where B is the area of the base, and h is the height of the pyramid. Here, h=8 in.

Here, the base is a triangle. The formula for its area is ...

A = 1/2bh

where b is the base segment of the triangle, and h is the height of the triangle perpendicular to the base segment. Here, b=10 in, and h = 6 in.

The triangular base area is ...

A = 1/2(10 in)(6 in) = 30 in^2 . . . . base area "B"

Using the above base area and pyramid height, we find the volume of the pyramid is ...

V = 1/3(30 in^2)(8 in) = 80 in^3

The volume of the pyramid is 80 cubic inches.

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Find g(x), where g(x) is the translation 7 units up of f(x)=x2.

AfilCa [17]

Answer:

$g(x)=x^2+7$

$g(x)$ in the form $a(x-h)^2+k$ would be:

$g(x)=(x-0)^2+7$

Step-by-step explanation:

Given:

Parent function:

$f(x)=x^2$

Translation occurs 7 units up to get $g(x)$

Translation Rules:

$f(x)\rightarrow f(x)+c$

If $c>0$ the function shifts $c$ units to the up.

If $c$ the function shifts $c$ units to the down.

So, from the above rules $g(x)$ can be represented as:

$g(x)=f(x)+7$ [7 units up]

$g(x)=x^2+7$

Writing $g(x)$ in the form $a(x-h)^2+k$ where $a, h, and\ k$ are integers.

$g(x)=1(x-0)^2+7$

$g(x)=(x-0)^2+7$

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3 years ago

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Which of the following are the correct answers??

Amanda [17]

Either B and D. Both seem pretty random lol

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3 years ago

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Kendra swims 126 miles in 3 days, what is the constant rate that Kendra swims per day? a. 40 miles per day c. 42 miles per day b

Leni [432]

Answer:

c. 42 miles per day

Step-by-step explanation:

From the information given, you can use a rule of three to calculate the constant rate that Kendra swims per day given that she swims 126 miles in 3 days:

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1 day → x

x=(1*126)/3=42 miles

According to this, the answer is that Kendra swims 42 miles per day.

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Diano4ka-milaya [45]

Answer:

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