MATHEMATICS HIGH SCHOOL

The radius of a sphere is 6 inches. Find the length of a chord connecting two perpendicular radii.

Answers

Answer 1
Answer:

Answer:

6√2.

Step-by-step explanation:

The two radii are equal length and form a right angle, so the resulting triangle is 45-45-90.  Therefore, the length of the chord (the hypotenuse of the triangle) is 6√2.


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COLLEGE

An Egyptian pyramid has a square base that measures 80 meters on each side. If the height of the pyramid is 30 meters, what is the slant height of the pyramid?

Answers

50 meters

The slant height is the height of a triangle making up the base of the pyramid. We can imagine a right triangle with one leg being a vertical line from the peak of the pyramid going down to the center of the base, and the other leg going from the center of the base to the center of one edge of the base. And finally, the hypotenuse will join the ends of those 2 lines together and will also be the slant height of the pyramid. Then we can easily use the Pythagorean theorem to determine the slant height. So
S = sqrt((80/2)^2 + 30^2)
S = sqrt(40^2 + 30^2)
S = sqrt(1600 + 900)
S = sqrt(2500)
S = 50

So the slant height of the specified pyramid is 50 meters.

Answer: 50 m

Step-by-step explanation:

COLLEGE

After a 75% ​reduction, you purchase a new DVD player DVD player on sale for ​$ 180. What was the original price of the DVD player DVD player​?

Answers

$240

You can do this by taking the sale price and dividing by the percentage.
HIGH SCHOOL

What is the value of y in the equation 2 + y = −3? −1
−5
1
5
(I think its b)

Answers

Answer:

the answer is negative 5

MIDDLE SCHOOL

If f(x)=x^4-x^3+x^2 and g(x)=-x^2, where x =/= 0, what is (f/g)(x)?

Answers

Answer:

- x² + x - 1

Step-by-step explanation:

(f / g)(x)

=

divide each term on the numerator by - x²

= - +

=  - + -

= - x² + x - = - x² + x - 1

MIDDLE SCHOOL

Determine the amount of money you would have if you invested $15,000 dollars for 11 years at 3% annual interest compounded continuously. PLEASE INSTEAD OF GIVING THE ANSWER TYPE IN THE FORMULA FOR THE EQUATION

Answers

Answer:

The amount after 3 years of investment is $20763  .

Step-by-step explanation:

Given as :

The principal invested = p =$15,000

The rate of interest = r = 3% compounded annually

The time period = t = 11 years

Let The Amount after 3 years = $ A

From Compounded method

Amount = Principal ×

Or, A = p ×

Or, A = $15,000 ×

Or, A = $15,000 ×

Or, A = $15,000 × 1.3842

Or, A = $20763

So, Amount = A = $20763

Hence The amount after 3 years of investment is $20763  . Answer

MIDDLE SCHOOL

Round 6,212 to the nearest hundred

Answers

Answer:


Step-by-step explanation:

6,212 яσυи∂є∂ тσ тнє иєαяєѕт нυи∂яє∂ ιѕ


6,200


Your answer will be 6,200.

MIDDLE SCHOOL

Mateo ate 3/8 of a pizza, which was a total of 510 calories of food. Which equation can be used to determine the total number of calories in the entire pizza? 1. 3/8x = 510
2. X/510 = 3/8
3. 3/8 = 510x
4. 3/8(510) = x

Answers

The answer is 1. 3/8x = 510

We know this because if we are eating 3/8 of the pizza, and we assume that the total number of calories in the pizza is x, then 3/8 of x will give us the amount of calories that we ate, which is 510. Therefore when we write this equation we get:
3/8x = 510 (3/8 of x is equal to 510)
HIGH SCHOOL

12. What percent of 75 is 45? Show your work.

Answers

Method 1:

Answer: 45 is 60% of 75.

Method 2:

what percent of 75 is 45

  n     ÷ 100    *   75 = 45

  n                  * = 45

  n              * = 45

 n                              =  

 n                              = 60

Answer: 60%

HIGH SCHOOL

What is the first step when adding or subtracting rational expressions with unlike denominators?

Answers

Find the least common denominator
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