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Scilla [17]
2 years ago
7

HELP. WILL GIVE BRAINLIEST, WHEN ANSWERED.

Mathematics
1 answer:
maxonik [38]2 years ago
3 0

Answer:

√89 or 9.43 units is the distance between Sophia's house and library

Step-by-step explanation:

H (1 ,1)  ⇒ House

L(6 , 9) ⇒ Library

Leg₁ = OH = 6 - 1 = 5 units

Leg₂ = OL = 9 - 1 = 8 units

<h3>  Pythagorean theorem;</h3>

            Hypotenuse² = leg₁² + leg₂²

                                   = 5² + 8²

                                    = 25 + 64

                                    = 89

              hypotenuse = √89 units  (radical form)

               hypotenuse = 9.43 units  

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Each course at a community college is worth 1 or 2 credits. A group of students is taking a total of 16 courses that are worth a
Anuta_ua [19.1K]

Answer:

They  are taking 12 2 credit courses

The are taking 4  1 credit courses

Step-by-step explanation:

x = 1 credit courses

y = 2 credit courses

The number of courses is 16

x+y = 16

The number of credits is 28 so multiply the course by the number of credits

1x+2y=28

Subtract the first equation from the second equation

x+2y =28

-x-y=-16

-----------------

y = 12

They  are taking 12 2 credit courses

We still need to find the 1 credit courses

x+y = 16

x+12= 16

Subtract 12 from each side

x-12-12 = 16-12

x =4

The are taking 4  1 credit courses

6 0
3 years ago
What is the circumference of a circle with a diameter of 9 inches.
Dennis_Churaev [7]

Answer:

28.26 inches

Step-by-step explanation:

Given

diameter (d) = 9 inches

circumference (c)

= π d

= 3.14 * 9

= 28.26 inches

8 0
3 years ago
As a bicycle salesperson, Norman earns a fixed salary of $20 per week plus $6 per bicycle for the first 6 bicycles he sells, $12
wlad13 [49]

Answer:

A. I only

I. y>2x

Step-by-step explanation:

I. y>2x

He sold x bicycles last week and y bicycles this week,  this week, he earned more than twice as much as he did last week. Therefore more than twice means greater than 2 x or

y>2x

II. y>x This is not true because y could be greater than x and less than twice of x (2x)

III. y>3 This is also not true because the least he would be earning would be $ 20 and he could get earn greater than 3 and less than $ 20 which would again be contradictory to the given statement

4 0
3 years ago
n aquarium holding African cichlids is 6 inches higher than it is wide. Its length is 33 inches, and its volume is 9240 cubic in
sukhopar [10]

Answer: Height = 20 inches

Width = 14 inches

Step-by-step explanation:

The aquarium is rectangular. The formula for determining the volume of a rectangular box is expressed as

Volume = LWH

Where L,W and H represents the length, width and height of the box.

The aquarium holding African cichlids is 6 inches higher than it is wide. It means that

H = W + 6

Its length is 33 inches, and its volume is 9240 cubic inches. It means that

9240 = 33W(W + 6)

9240/33 = W(W + 6)

280 = W² + 6W

W² + 6W + (6/2)² = 280 + (6/2)²

(W + 3)² = 280 + 9 = 289

Taking square root of both sides, it becomes

W + 3 = √289 = 17

W = 17 - 3

W = 14

H = W + 6 = 14 + 6

H = 20

3 0
3 years ago
Which statement about corollaries is true? A. Corollary is another term for theorem B. A corollary is a unique proposition unrel
djyliett [7]
D I believe...........
4 0
3 years ago
Read 2 more answers
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