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3 years ago

Find two numbers the quotient is between 75÷4

Mathematics

1 answer:

Burka [1]3 years ago

6 0

The quotient is 18.5, so that means it is between 17 and 20

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What is the volume of a square pyramid with base edges 24 feet and slant height 37

-Dominant- [34]

Answer: The volume of pyramid is 6720 ft³

Step-by-step explanation:

Given: Base edge of a square pyramid = 24 feet

Slant height = 37 feet

Therefore height of pyramid is given by

$h^2=l^2-\dfrac{1}{2} b^2$ where h is height, l is slant height and b is base edge of pyramid

So we have

$h^2= 37^2-(\dfrac{1}{2} \times 24)^2= 37^2-12^2=1225 \\\\\Rightarrow h= \sqrt{1225} =35$

Height of pyramid is 35 feet

Now the volume of a pyramid is given by

$V=b^2\dfrac{h}{3}$ where V is volume , b is base edge and h is height of pyramid

Therefore

$V= (24)^2\dfrac{35}{3} = 6720$

Hence , the volume of pyramid is 6720 ft³

7 0

3 years ago

What is the volume, in cubic centimeters, of a rectangular prism with a height of 18 centimeters, a width of 9 centimeters, and

GenaCL600 [577]

Answer: 810 cm^3

Step-by-step explanation:

v= lwh

v= 5 * 9 *18

v= 810

7 0

3 years ago

Pls solve this for me :(

Rus_ich [418]

Answer:

33.83

Step-by-step explanation:

This is because if you trying to find h and the opposite side, you will have to use cos to get that answer. My using this equation

$\cos(31) = \frac{29}{x}$

You will find that x will equal 33.83

Hope this Helped

6 0

3 years ago

A couple needs $55,000 as a down payment for a home. If they invest the $40,000 they have at 4% compounded quarterly, how long w

slava [35]

Answer:

8 years

Step-by-step explanation:

Compound interest formula

$A(t)= A_0(1+\frac{r}{n})^{nt}$

A(t) is the final amount 55000

A_0= 40000, r= 4% = 0.04, for quarterly n=4

$55000=40000(1+\frac{0.04}{4})^{4t}$

divide both sides by 40000

$1375=(1+\frac{0.04}{4})^{4t}$

$1375=(1.01)^{4t}$

Take ln on both sides

$ln(1375)=4tln(1.01)$

divide both sides by ln(1.01)

$\frac{ln 1375}{ln 1.01}=4t$

Divide both sides by 4

t=8.00108

So it takes 8 years

8 0

3 years ago

Using the triangle pictured, find the measure of side AB. Round your answer to the nearest tenth. A) 1.6 B) 2.2 C) 2.7 D) 3.3

Yuki888 [10]

Answer:

Option B (AB = 2.2 units).

Step-by-step explanation:

The diagram shows that there are two sides given and one angle is given. Therefore, the sine rule must be used to solve the question. The sine rule can be written as:

sin ABC / AC = sin BAC / BC.

Plugging ABC=72 degrees, AC=2.5, and BC=2.1 in the sine rule gives:

sin 72 / 2.5 = sin BAC / 2.1.

Cross multiplying gives:

sin BAC = (2.1*sin 72)/2.5.

sin BAC = 0.79888747368.

Taking sin inverse on both sides gives:

BAC = arcsin (0.79888747368) = 53.0239949 degrees.

To find AB, first, the angle ACB is required. To find that angle, use the triangular law of angles. All the three angles sum up to 180 degrees. Therefore ACB = 180 - 72 - 53.0239949 = 54.9760051 degrees.

Now applying the Sine Rule to find AB:

sin ACB / AB = sin ABC / AC.

sin (54.9760051) / AB = sin 72 / 2.5.

AB = (2.5*sin (54.9760051))/sin (72) = 2.2 (to the nearest tenth).

Therefore, AB = 2.2 units, i.e. Option B!!!

6 0

3 years ago