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Ksju [112]
1 year ago
14

a rectangle pyramid fits exactly on top of a rectangular prism. the prism has a length of 18 cm, a width of 6 cm, and a height o

f 9 cm. the pyramid has a height of 15 cm. find the volume of the composite space figure
Mathematics
1 answer:
irina1246 [14]1 year ago
4 0
To find the volume of the prism you are going to use the formula  V=WxLxH.
When you plug in your numbers you should get V= 18x6x9 which ends up equaling 972.

Now that you have that you need to find the volume of the pyramid using the formula V= L x W x H /3 and when you plug that in it looks like
V= 18 x 6 x 15 /3

Upon simplifying that you get 540.

Now you have the volume of your rectangular prism and your rectangular pyramid add them together and you should get 1512



I recommend drawing it out... it helps a lot:)
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The table gives the probabilities that new cars of different models will have brake failure. The car model that is least likely
melamori03 [73]
<span>All the information we have are the probabilities, and what we need is the lowest number: so let's choose the smallest probability among the numbers: 0.0065%, B 0.0037%,C 0.0108%,D 0.0029%, E 0.0145%. The smallest of the numbers is 0.0029% -it starts with two 00s and the number that follows, 2, is smaller than all there others - so the smallest probability is in option D - and the model would be the corresponding model (but we're missing some information here) </span>
3 0
1 year ago
Read 2 more answers
Divide rs 350 in ratio 2:5​
mihalych1998 [28]

Answer:

100 : 250

Step-by-step explanation:

Sum the parts of the ratio, 2 + 5 = 7 parts

Divide the quantity by 7 to find the value of one part of the ratio.

350 ÷ 7 = 50 ← value of 1 part of the ratio, thus

2 parts = 2 × 50 = 100

5 parts = 5 × 50 = 250

350 = 100 : 250 in the ratio 2 : 5

6 0
1 year ago
Justin receives $15 and puts it into his savings account. He adds $0.25 to the account each day for a number of days, d, after t
MAVERICK [17]

Answer:

expression a

Step-by-step explanation:

The given expression is 15+0.25(d−1).

let suppose,

15 = a

0.25(d−1) = b

we get  a + b

It clearly indicates the given expression is sum of two entities, we can exclude  option b and option d.

Now we are left with option a and c, for that we have to evaluate the term b

b = 0.25(d−1) <u>that is the additional amount after d days</u>

Therefore, expression a is correct.

4 0
2 years ago
Read 2 more answers
Nisha works at a bank. In her till 35% of the notes are £5 notes, 40% are £10 notes and the rest are £20 notes. If all the £20 n
podryga [215]

Answer:

£1290

Step-by-step explanation:

35%+40%= 75%

£600=25% £600÷20=30 25%of till = 30 notes 100%=120 notes

40% of 120 =48notes 48x10=£480

90notes-48notes=42notes

42x£5=£210

£600+£480+£210=£1290

8 0
1 year ago
Louden County Wildlife Conservancy counts butterflies each year. Data over the last three years regarding four types of butterfl
MrRa [10]

Incomple question. However, here's the remaining part of the question:

14

2009

Meadow Fritillary= 5

Variegated Fritillary= 7

Zebra Swallowtail= 33

Eastern-Tailed Blue= 242

Louden County Butterfly Count

2010

Meadow Fritillary 34

Variegated Fritillary 95

Zebra Swallowtail 21

Eastern-Tailed Blue 168

2011

Meadow Fritillary

Variegated Fritillary

Zebra Swallowtail

Eastern-Tailed Blue

10

170

<u>Options</u>:

A) All butterfly populations are steadily decreasing.

B)All butterfly populations were larger than usual in 2010.

C)The Eastern-Tailed Blue butterfly is more common than the others.

D)The Meadow Fritillary is equally common as the Variegated Fritillary

Answer:

<u>C</u>

Step-by-step explanation:

Looking through the above count data by Louden County Wildlife Conservancy from 2009 to 2011 we notice the Eastern- Trailed Blue butterfly has a higher count, which implies that the Eastern-Tailed Blue butterfly is more common than the other butterflies.

Therefore, we could infer from the samples, that the Eastern-Tailed Blue butterfly is more common than others from the records of the past 3 three years.

5 0
1 year ago
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