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LiRa [457]
4 years ago
13

The volume of a rectangular box is 3x(3x+4)(3x-1). Which statement about the volume of the box is true? APEX

Mathematics
2 answers:
vfiekz [6]4 years ago
7 0

Answer:

Option A is correct that is The volume is the product of the are os the base 3x(3x+4) and the height 3x-1.

Step-by-step explanation:

Given:

Length of the base of rectangular box = 3x + 4

Width of the base of rectangular box = 3x

Heigth of the base of rectangular box = 3x - 1

We know that Rectangular box is a Prism.

Volume of the prism = Base Area × Height

Area of the Base = 3x ( 3x + 4 )

So Volume = 3x ( 3x + 4 ) × ( 3x - 1 )

Therefore, Option A is correct that is The volume is the product of the are os the base 3x(3x+4) and the height 3x-1.

musickatia [10]4 years ago
4 0

Answer:

A

Step-by-step explanation:

The volume (V) of a cuboid is calculated using the formula

V = area of base × height

   = 3x(3x + 4)(3x - 1) → A

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Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters. How long, in
Oksanka [162]

Answer:

<u>0.765 meters</u> long were the sticks when laid end to end.

Step-by-step explanation:

Given:

Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters.

Now, to find the length in meters of the sticks when laid end to end.

The lengths of the sticks are:

1st stick - 45 millimeters.

2nd stick - 32 centimeters.

3rd stick - 4 decimeters.

So, we convert the units of sticks into meters by using conversion factor:

1st stick:

1 millimeter = 0.001 meter.

45 millimeters = 0.001 × 45

45 millimeters = 0.045 meter.

2nd stick:

1 centimeter = 0.01 meter.

32 centimeters = 0.01 × 32

32 centimeters = 0.32 meter.

3rd stick:

1 decimeter = 0.1 meter.

4 decimeters = 0.1 × 4

4 decimeters = 0.4 meter.

Now, adding all the three sticks length to get the the length in meters of the sticks when laid end to end:

0.045+0.32+0.4\\\\=0.765\ meters.

Therefore, 0.765 meters long were the sticks when laid end to end.

5 0
4 years ago
What is the angle, in degrees, if the Area is 180 square miles and the radius is 42,240 feet?
Savatey [412]

Step-by-step explanation:

the area of a circle (all 360°) is

pi×r²

with r being the radius.

the area of a circle segment is just the corresponding fraction of the whole circle.

so the area of a segment of x degrees is

pi×r² × x/360

in our case we know

pi×42240² × x/360 = 180 mi²

we also know that there are 5280 ft in 1 mile.

so, the radius is actually

42240 / 5280 = 8 miles

and therefore our equation resulting in mi² has to use miles and not ft and has to look that way :

pi×8² × x/360 = 180 mi²

pi×64 × x/360 = 180

pi×64 × x = 180×360

pi×x = 180×360/64 = 1012.5

x = 1012.5/pi = 322.2887598...°

so, the angle of the segment of a circle with the area of 180 mi² and the radius of 8 mi is 322.2887598...°

5 0
2 years ago
Let x be the ages of students in a class. Given the frequency distribution f(x) above, determine the following probabilities:.
lora16 [44]

Probabilities are used to determine the chances of events

The value of the probability P(x < 24) is 0.7895

<h3>How to calculate the probability P(x < 24)?</h3>

This is calculated as:

P(x < 24) = \frac{n(x < 24)}{Total}

So, we have:

P(x < 24) = \frac{22 + 3 + 5}{22 + 3 + 5 + 4 + 4}

Evaluate the sums

P(x < 24) = \frac{30}{38}

Evaluate the quotient

P(x < 24) = 0.7895

Hence, the value of the probability P(x < 24) is 0.7895

Read more about probabilities at:

brainly.com/question/9385303

8 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.
Tamiku [17]

It's a hexagon.

The formula of the sum of internal angles in the polygon:

S=(n-2)\cdot180^o

Therefore

112^o+133^o+128^o+100^o+120^o+x^o=(6-2)\cdot180^o\\\\593^o+x^o=720^o\ \ \ \ |-593^o\\\\x^o=127^o

3 0
4 years ago
Please help I don't understand i'm in the lowest class?
Anna71 [15]

Answer:

Step-by-step explanation:

6 0
2 years ago
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