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antoniya [11.8K]
3 years ago
15

Find the volume of the large solid without the smaller solid. The solid is a right solid and is not drawn to scale. Round answer

s to the tenths place.
A rectangular prism has length 12.4 meters, height 9 meters, and width 7.8 meters. A smaller rectangular prism inside the larger prism has length 3 meters, width 1.8 meters, and height 9 meters.
a.
870.5 cube meters
c.
48.6 cube meters
b.
821.9 cube meters
d.
919.0 cube meters
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
7 0

Answer: 821.9 cube meters

Step-by-step explanation:

Hi, to answer this question we have to calculate both rectangular prisms volume:

Volume: Length x width x height

Replacing with the values given:

Large solid volume = 12.4 x 7.8 x9 =870.48 cubic meters

Small solid volume = 3 x 1.8 x 9 =48.6 cubic meters

Next, we have to subtract the smaller solid's volume to the large solid’s volume .

870.48-48.6 = 821.88 = 821.9 cubic meters

Feel free to ask for more if needed or if you did not understand something.

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Drew has two cats. One cat weighs 17 pounds, and the other one weighs 1212 pounds. Audrey's dog weighs 33 pounds. What is the di
wolverine [178]

Answer:

64 ounces.

Step-by-step explanation:

Given:

Drew has two cats.

One cat weighs 17 pounds.

The other one weighs 12 pounds. (instead of 1212 pounds)

Audrey's dog weighs 33 pounds.

Question asked:

What is the difference in ounces between Audrey's dog and the combined weights of Drew's cats ?

Solution:

<u>For Drew </u>

Weight of one cat = 17 pounds

Weight of another cat = 12 pounds

Combined weight = 17 pounds + 12 pounds = 29 pounds

Now, convert it into ounces:-

As we know:

1 pound = 16 ounces

29 pounds = 16 \times 29 = 464 ounces

<u>For Audrey</u>

Weight of dog = 33 pounds

Now, convert it into ounces:-

1 pound = 16 ounces

33 pounds = 16 \times 33 = 528 ounces

Combined weight of Drew's cats = 464 ounces

Weight of Audrey's dog = 528 ounces

Difference = 528 ounces - 464 ounces = 64 ounces

Thus,  the difference in ounces between Audrey's dog and the combined weights of Drew's cats is of 64 ounces.

<u></u>

5 0
3 years ago
Water is dripping from a faucet into a glass. The table shows the amount of water (cm3) in the glass, f(x), after x minutes.
vladimir2022 [97]
B because it’s increase so it’s more
3 0
3 years ago
The function y = -x + 4 has to main of {0.3,6). What is its range?
Komok [63]

Answer:

i think it's A if I'm wrong then wow

4 0
3 years ago
Can someone help I am struggling with the question on the photo?
AleksandrR [38]

Answer:

in the last one 3+4+4×15=67

in the first if we see there are three shapes if we divide 45/3 so the value of each shape is 15

in the second there are two bananas and one shape as we know the value of shape so 23-15=8 as there are two bananas so the value of each banana is 4

in the third there are two clocks and one banana as we know the value of banana so 10-4=6 as there are two clocks so the value of each clock is 3

from above

shape=15 banana=4 and clock =3 pitting in the equation gives us the value of 67

Step-by-step explanation:

i hope this will help you :)

7 0
3 years ago
A,B and C are the vertices of a triangle A has coordinates (4,6) B has coordinates (2,-2) C has coordinates (-2,-4) D is the mid
polet [3.4K]

Answer:

Segments DE and BC have equal slopes, showing that segments DE and BC are parallel

Step-by-step explanation:

Here we have the coordinates as follows

The coordinates of A is (4, 6)

The coordinates of B is (2, -2)

The coordinates of C is (-2, -4)

Therefore, the coordinates of D the midpoint AB is ((4 + 2)/2, (6 - 2)/2) which gives;

The coordinates of D is (3, 2)

Similarly, the coordinates of E the midpoint AC is ((4 - 2)/2, (6 - 4)/2) which gives;

The coordinates of E is (1, 1)

To prove that segment DE is parallel to segment BC, e show that the slopes of the two segments are equal as follows;

Slope \, of \, a \, segment = \frac{Change \, in \, the\ y \, coordinates}{Change \, in \, the\, x \, coordinates}

Slope \, of \, segment \  DE =\frac{2 - 1}{3-1} = \frac{1}{2}

Slope \, of \, segment \  BC =\frac{-2 - (-4)}{2-(-2)} = \frac{2}{4} =\frac{1}{2}

Therefore, the slopes of segments DE and BC are equal, which shows that segment DE is parallel to BC.

8 0
4 years ago
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