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3 years ago

Need help math problem

Mathematics

1 answer:

kipiarov [429]3 years ago

6 0

Answer:

Question 16: 44 inches

Question 18: 10, 24, 26

Step-by-step explanation:

Question 16:

Pythagoras Theorem: c^2 = a^2 + b^2, where c is the hypotenuse and the longest side.

125^2 = 117^2 + b^2

15,625 = 13,689 + b^2

15,625 - 13689 = b^2

1936 = b^2

√1936 = b

44 = b

Question 18:

Pythagoras Theorem: c^2 = a^2 + b^2, where c is the hypotenuse and the longest side. You have to try all the possibilities. The ones that match are the lengths.

The answers are 10, 24, 26

c^2 = a^2 + b^2

26^2 = 10^2 + 24^2

676 = 100 + 576

676 = 676

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1 year ago

To decrease an amount by 8 percent, what single multiplier would you use?

Alchen [17]

That's far more problems than I usually accept in a single question, but since you're new and obviously a beginner, I'll try to help.

To Increase an amount by 7% what single multiplier would you use 
We want 7% more than 100% of the amount, so the multiplier is 
(100% + 7%) = 107% = 1.07 
[Remember that "percent" means "per hundred," so we divide a percentage by 100 to get the numerical equivalent.] 

To Decrease an amount by 7% what single multiplier would you use 
We want 7% less than 100% this time, so the multiplier is 
(100% - 7%) = 93% = 0.93 

5 ÷ 0.1 
= 50 

(To One Decimal Place) (0.3 x 2.8)Squared 
[Notation: around here we usually write "squared" as ^2, where the ^ is an exponentiation sign.] 
(0.3 x 2.8)^2 = 0.84^2 = 0.7056 
which is 0.7 when rounded to one decimal place. 

6.38 + 4.52 ÷ 4.71 +9.53 
= 6.38 + (4.52 ÷ 4.71) + 9.53 [assuming operations in the usual order] 
= about 6.38 + 0.96 + 9.53 
= 16.87 

Expand and Simplify 
(x + 2)(x + 3) 
= x^2 + 2x + 3x + 6 
= x^2 + 5x + 6 

Expand and Simplify 
(x + 2)(x - 3) 
= x^2 + 2x - 3x - 6 
= x^2 - x - 6 

x + 1 < 5 
x < 4 [subtracting 1 from both sides] 

Make n the subject of the formula.... M=3n 
3n = M 
n = M/3

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3 years ago

An illusionist needs up to 10 volunteers for a show. The illusionist needs no fewer than 4 female volunteers. Let x represent th

Tems11 [23]

Answer:

FIRST OPTION.

THIRD OPTION.

FIFTH OPTION.

Step-by-step explanation:

Let be "x" the number of of female volunteers and "y" the number of male volunteers.

You need to remember the meaning of the inequalities symbols:

: Less than.

$>$ : Greater than.

$\leq$ : Less than or equal to.

$\geq$ : Greater than or equal to.

In this case you know that the illusionist needs up to 10 volunteers, which indicates that the total number of volunteers can be less than or equal to 10 people. The inequality that represents this is:

$x+y\leq 10$

According to the exercise, the illusionist needs no fewer than 4 female volunteers. This means that number of female volunteer must be greater than or equal to 4:

$x\geq 4$