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Anna71 [15]
2 years ago
11

What is the volume of this right rectangular prism? Enter your answer as a decimal in the box. cm³ A rectangular prism with a le

ngth of 6.1 centimeters, a width of 5.4 centimeters, and a height of 8 centimeters.
Mathematics
2 answers:
Irina-Kira [14]2 years ago
6 0
The volume of a rectangular prism is equivalent to the equation Bh. But to find the base you must first do lw or in this equation 6.1 times 5.4. That equals to 32.94. You then use the height, or in this case 8 and multiply it times 32.94. Your final answer should be 263.52 cm. cubed.
charle [14.2K]2 years ago
4 0

Answer:

263.52 cm that what your answer will be

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The mosquito population is a function of rainfall, and can be approximated by the formula N(x)=−x3+45x2+1000 where x is the numb
KiRa [710]

Answer:

Therefore the population will be maximum when x=30 inches.

Step-by-step explanation:

Given that, the mosquito population is a function of rainfall and can be approximated by the formula

N(x)= -x^3+45x^2+1000

where x is the number of inches of rainfall.

N(x)= -x^3+45x^2+1000

Differentiating with respect to x

N'(x)= -3x^2+90x

Again differentiating with respect to x

N''(x)=-6x+90

Now we set N'(x)=0

-3x^2+90x=0

\Rightarrow -3x(x-30)=0

\Rightarrow x=0,30

N''(0)=-6.0+90=90>0

N''(30)=-6.30+90=-90

Since at x=30, N''(x)<0, So at x=30, N(x) has maximum value.

Therefore the population will be maximum when x=30 inches.

5 0
2 years ago
A triangle has vertices at (3, 2), (-4,4), and (-2,5). What are the coordinates of the vertices of the image
MrMuchimi

Answer:

The triangle is translated 2 units down and 4 units to the right.

Step-by-step explanation:

7 0
3 years ago
In the diagram below of triangle PQR, S is the midpoint of PR and T is the
Nina [5.8K]

Answer:

ST = 4

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.

ST = \frac{1}{2} PQ substitute values

- 32 + 9x = \frac{1}{2} (- 5x + 28) ← multiply both sides by 2 to clear the fraction

- 64 + 18x = - 5x + 28 (add 5x to both sides )

- 64 + 23x = 28 ( add 64 to both sides )

23x = 92 ( divide both sides by 23 )

x = 4

Then

ST = - 32 + 9x = - 32 + 9(4) = - 32 + 36 = 4

5 0
2 years ago
Which is a factor of 20 but not a multiple of 2
Delicious77 [7]
20|2 \\ 10|2 \\ 5 \ |5 \\ 1 \\\\\boxed{ 5} \  it's \ a \ multiple \ of \ 20 , \ but \ it's \ not \ a \ multiple \ of \ 2
7 0
2 years ago
Read 2 more answers
Alex is standing 60 feet from the base of a flagpole. He measures the angle of elevation to the top of the pole as 35º. Vera is
ivanzaharov [21]

Answer:

49.4 degrees

Step-by-step explanation:

In Triangle AXY,

Tan 35^0=\frac{|XY|}{60} \\|XY|=60*Tan 35^0=42.01\:feet\\$Therefore, Height of the pole=42.01 \:feet

We want to determine the angle of elevation from the point Vera is standing to the top of the flagpole, which is the angle at V in the diagram.

In Triangle XVY

|VY|=36 feet

Tan \theta=\frac{|XY|}{|VY|} \\Tan \theta=\frac{42.01}{36}\\ \theta=arctan(\frac{42.01}{36})\\ \theta=49.4^0

Therefore, the angle of elevation from the point Vera is standing to the top of the flagpole is 49.4 degree to the nearest tenth of a degree.

4 0
3 years ago
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