MATHEMATICS HIGH SCHOOL

when 15 is subtracted from the measure of an angle, the result is the measure of a right angle. what is the measure of the original angle?

Answers

Answer 1
Answer:

Answer:

105° is the measurement of the original angle.

Step-by-step explanation:

Let the measure of an angle is x.

Then by the statement of the question we can form an equation

x - 15 = 90

(When 15 is subtracted form the measure of an angle, the result is the measure of a right angle)

x = 90 + 15 = 105°

Therefore the original angle is 105°.
Answer 2
Answer:

Answer:

105

Step-by-step explanation:

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A rectangle is three times as long as it is wide. If the total area of the rectangle is 48 square inches, what is the length of the rectangle?

Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 160 pounds of blended coffee beans selling for $4.97 per pound. She plans to do this by blending together a high quality bean costing $6.00 per pound and a cheaper bean at $3.25 per pound. To the nearest pound, find how much high quality coffee bean and how much cheaper coffee bean she should blend.

Answers

Given:
let h be the high quality bean
let c be the cheaper bean

h + c = 160
6h + 3.25c = 160*4.97
6h + 3.25c = 795.20

h = 160 - c
6(160 - c) + 3.25c = 795.20
960 - 6c + 3.25c = 795.20
-2.75c = 795.20 - 960 
-2.75c = -164.80
c = -164.80 / -2.75
c = 59.92 or 60 lbs

h = 160 - c
h = 160 - 60
h = 100 lbs

Sarah should blend 60 lbs of cheap coffee bean and 100 lbs of high quality coffee bean.

Complete the equation a^1/2×a___=a

Answers

When adding functions with the same base you simply add the exponents so:
a^(1/2)*a^(x) = a^(1)
(1)/(2)+x = 1
x = (1)/(2)

Thus to finish the equation you would say a^(1/2)

What 2 numbers add up to get 17 and multiply to get -200

Answers

There is no fixed equation when I arrived at these numbers.

I just did trial and error. I came up with 25 and -8 as the numbers.

200 ÷ 25 = 8 ⇒ the sum of 17 depends on the signs of each numbers.

-8 x 25 = -200

-8 + 25 = 17

Between which two square roots of integers could you find Euler's number (2.7182818284...)?

Answers

The square root of 7 is roughly 2.6
The square root of 8 is roughly 2.8

Hence Euler's number is between √(7) and √(8).
between the square roots of 7 and 8

e^2 = 7.38 roughly

How Can associative Property be used to mentally find 48+82?

Answers

Associative property of addition represents this equation:
a + b = b + a
So, how would it be helpful with this given equation?
=> 48 + 82
=> Let's start with the ones place value.
(2 + 8) = 10, bring down 0, carry 1 then ( 4 + 8) = 12 + 1 = 13
So the answer is 130.
If we are going to do it vice versa, still expect that the same answer will occur.

Round the mixed number to the nearest whole or half.

11 5/6

Answers

nearest to 12 because it can't be

Answer:

12.  Hope this helps!

Step-by-step explanation:
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