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4 years ago

Tamika wants to double the volume of a square pyramid. What should she do?

Mathematics

2 answers:

shtirl [24]4 years ago

7 0

Multiply length times width times height and once u get the total multiply that by two :

ex :

length:10

width:10

height:10 10x10x10=1000x2=2000

Nataly [62]4 years ago

5 0

Answer:

Double the height of the pyramid

Step-by-step explanation:

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Duane and Thad plan on retiring 27 years from today and plan to have the same amount saved at that time. In preparation for this

Rzqust [24]

Answer:

Thad deposited an amount of $11,241.58 about 27 years ago,

Step-by-step explanation:

About Duane:

The amount deposited by Duane = $15,000

Time interval = 27 years

Rate = 5.2%

Now, SIMPLE INTEREST = $\frac{P \times R \times T}{100}$

$\implies SI = \frac{15,000 \times 27 \times 5.2}{100} = 21,060$

So, the SI on 15,000 after 27 years = $21,060

Now, AMOUNT = PRINCIPAL + SI

= 15,000 + 21,060 = $36,060

Hence, after 27 years, Duane's amount is equivalent to $36,060

Now, About Thad:

Let us assume amount deposited = P

Rate = 6.2%

Time = 27 y

Now, $SI = \frac{P \times 27 \times 6.2}{100} = 1.674 P$

So, the SI on 15,000 after 27 years = $1.674 P

Now, AMOUNT = PRINCIPAL + SI

$36,060 = P + 1.674 P

or, 2.624 P = $36,060

⇒ P = 30,060/2.624 = 11,241.58

Hence, Thad deposited an amount of $11,241.58 about 27 years ago,

7 0

4 years ago

Pollution of the rivers in the United States has been a problem for many years. Consider the following events: a: the river is p

vampirchik [111]

Answer:

The answer is below

Step-by-step explanation:

P(A') = 1 - P(A) = 1 - 0.3 = 0.7

P(B'/A) = 1 - P(B/A) = 1 - 0.75 - 0.25

P(B/A') = 0.2, P(B'/A') = 1 - 0.2 = 0/8

P(C|A∩B) = 0.20,

P(C|A'∩B) = 0.15,

P(C|A∩B') = 0.80, and

P(C|A'∩B') = 0.90.

A) From conditional probability;

P(B/A) = P(B ∩ A) / P(A)

P(B∩A) = P(B/A) × P(A) = 0.75 × 0.3 = 0.225

P(C/A∩B) = P(A∩B∩C)/P(A∩B)

P(A∩B∩C) = P(C/A∩B) × P(A∩B)

P(A∩B∩C) = 0.2 ×0.225 = 0.045

B) P(A∩B∩C) = P(A) × P(B/A) × P(C/A∩B)

P(B'∩C) = P(A∩(B'∩C)) + P((A'∩B')∩C)

P(B'∩C) = P(A) × P(B'/A) × P(C/A∩B') + P(A') × P(B'/A') × P(C/A'∩B')

P(B'∩C) = 0.3 × 0.25 × 0.8 + (0.7 × 0.8 × 0.9) = 0.06 + 0.504 = 0.564

C) P(C) = P(A∩B∩C) + P(A'∩B∩C) + P(A∩B'∩C) + P(A'∩B'∩C)

P(A'∩B∩C) = P(A') × P(B/A') × P(C/A'∩B) = 0.7 × 0.2 × 0.15 = 0.021

P(A∩B'∩C) = P(A) × P(B'/A) × P(C/A∩B') = 0.3 × 0.25 × 0.8 = 0.06

P(A'∩B'∩C) = P(A') × P(B'/A') × P(C/A'∩B') = 0.7 × 0.8 × 0.9 = 0.504

P(C) = P(A∩B∩C) + P(A'∩B∩C) + P(A∩B'∩C) + P(A'∩B'∩C) = 0.045 + 0.021 + 0.06 + 0.504 = 0.63

D) P(A/B'∩C) = P(A∩B'∩C)/P(B'∩C)

P(A/B'∩C) = 0.06 / 0.564 = 0.106

6 0

4 years ago

Is the axis of symmetry and vertex for the function f(x)=3(x-2)^2+4

BaLLatris [955]

The axis of symmetry is x=2
The vertex is (2,4)
Hope this helps!

4 0

4 years ago

Select the number that matches this list of factors:

IrinaK [193]

Answer:

Step-by-step explanation:

11 doesn't go into any numbers because it is prime, same with 17. 15 only goes into 3 and 5 so that's not it either. 21 only goes into 3 and 7, 26 doesn't go into 4 nor 6. 4 doesn't go into 30 evenly, so that leave just 10 and 12. 3,4,nor 6, go into 10. That leaves only 12 as the final answer.

7 0

4 years ago

PLEASE HELP I WILL GIVE YOU BRAINLIEST!!!!!!!!!!!!!

Diano4ka-milaya [45]

Answer:

Click the third one, I hope I helped, and have a good day :)

8 0

3 years ago