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3 years ago

Find the volume of the given solid

Mathematics

1 answer:

ira [324]3 years ago

3 0

Answer:

15,000cm^3

Step-by-step explanation:

Dividing the solid into 2;

Volume = Volume of A + Volume of B

Volume of Top prism (A) =25cm * 20cm * 10cm

Volume of Top prism (A) = 5000cm^3

Volume of bottom prism B = 20cm * 50 * 10

Volume of bottom prism B = = 10000cm^3

Volume of the figure = 5000 + 10000

Volume of the figure = 15,000cm^3

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In a book of stickers the ratio of large stickers to small stickers is 7 to 5. Based on this ratio, how many large stickers are

Archy [21]

Large sticker : Small sticker = 7 : 5

Find total parts:
7 + 5 = 12

Find 1 part:
12 parts = 96 stickers
1 part = 96 ÷ 12 = 8 stickers

Find 7 parts:
1 part = 8 stickers
7 parts = 7 x 8 = 56 stickers

Answer: There are 56 large stickers

7 0

3 years ago

3 QUESTIONS-30 POINTS<br> ATTACHMENTS BELOW

yan [13]

(6) 70, 70, 110

∠2 = ∠4 = 110° ( congruent angles )

∠3 = 180° - 110° = 70° ( straight angle )

∠1 = 70° ( vertically opposite ∠3 )

(9) ∠AEC = 15x - 11

since EC bisects ∠BED then ∠BEC = ∠CED = 4x + 1

∠AEC = ∠AEB + ∠BEC = 11x - 12 + 4x + 1 = 15x - 11

(7) x = 3

AC = AB + ABC = 32

2x + 6x + 8 = 32

8x + 8 = 32 ( subtract 8 from both sides )

8x = 24 ( divide both sides by 8 )

x = 3

3 0

4 years ago

Very easy question please help I cant do basic math

Tom [10]

Sonic sick duck duck

3 0

3 years ago

What is the true solution to the equation below? 2 in e in2×-in e in 10×= in 30 A x=30 B x=75 C x=150 D x=300

hodyreva [135]

Answer:

Option B.

Step-by-step explanation:

Let as consider the given equation:

$2\ln e^{\ln 2x}-\ln e^{\ln 10x}=\ln 30$

It can be written as

$2(\ln 2x)-(\ln 10x)=\ln 30$ $[\because \ln e^a=a]$

$\ln (2x)^2-(\ln 10x)=\ln 30$ $[\because \ln a^b=b\ln a]$

$\ln \dfrac{4x^2}{10x}=\ln 30$ $[\because \ln \dfrac{a}{b}=\ln a-\ln b]$

$\ln \dfrac{2x}{5}=\ln 30$

On comparing both sides, we get

$\dfrac{2x}{5}=30$

Multiply both sides by 5.

$2x=150$

Divide both sides by 2.

$x=75$

Therefore, the correct option is B.

7 0

4 years ago

Any athlete who fails the Enormous State University's women's soccer fitness test is automatically dropped from the team. Last y

castortr0y [4]

Using conditional probability, it is found that there is a 0.7873 = 78.73% probability that Mona was justifiably dropped.

Conditional Probability

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.
$P(A \cap B)$ is the probability of both A and B happening.
P(A) is the probability of A happening.

In this problem:

Event A: Fail the test.
Event B: Unfit.

The probability of <u>failing the test</u> is composed by:

46% of 37%(are fit).
100% of 63%(not fit).

Hence:

$P(A) = 0.46(0.37) + 0.63 = 0.8002$

The probability of both failing the test and being unfit is:

$P(A \cap B) = 0.63$

Hence, the conditional probability is:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.63}{0.8002} = 0.7873$

0.7873 = 78.73% probability that Mona was justifiably dropped.

A similar problem is given at brainly.com/question/14398287

3 0

3 years ago

Find the volume of the given solid​

Find the volume of the given solid