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Mumz [18]
3 years ago
11

A student’s tuition was $2100. A loan was obtained for 5/7 of the tuition. How much was the loan?

Mathematics
1 answer:
Lelechka [254]3 years ago
3 0
1,500

Explanation: 2,100/ 7= 300. 5 x 300 = 1,500
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Find the perimeter of the triangle with coordinates A(5,2), B(5,4), and C(1,1). Round to the nearest tenth.
faltersainse [42]

Answer:

11.1 units

Step-by-step explanation:

We solve for this using the formula when using coordinates (x1 , y1) and (x2, y2)

= √(x2 - x1)² + (y2 - y1)²

A(5,2), B(5,4), and C(1,1).

For AB = √(x2 - x1)² + (y2 - y1)²

= A(5,2), B(5,4)

= √(5 - 5)² +(4 - 2)²

= √ 0² + 2²

= √4

= 2 units

For BC = √(x2 - x1)² + (y2 - y1)²

= B(5,4), C(1,1)

= √(1 - 5)² +(1 - 4)²

= √ -4² + -3²

= √16 + 9

= √25

= 5 units

For AC = √(x2 - x1)² + (y2 - y1)²

A(5,2), C(1,1)

= √(1 - 5)² + (1 - 2)²

= √-4² + -1²

= √16 + 1

= √17

= 4.1231056256 units

The Formula for the Perimeter of Triangle = Side AB + Side BC + Side AC

= 2 units + 5 units + 4.1231056256 units

= 11.1231056256 units.

Approximately the Perimeter of a Triangle to the nearest tenth = 11.1units

4 0
3 years ago
The sum of two numbers is 18. 5 times the first number subtracted from 4/7 of the second number is 14. Find the number.
Sergeu [11.5K]

Answer:

The sum of two numbers is 18.

5 times the first number subtracted from 4/7 of the second number is 14.

First number --> x

Second number --> y

so

x + y = 18 --> x = 18-y

5x - (4/7)y = 14

so

5 (18-y) - (4/7)y = 14

90 - 5y - 4/7 y = 14

-5.57 y = 14-90

y = 13.64

so

x = 18 - 13.64

x = 4.36

8 0
3 years ago
HELP ASAP George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and extends
enyata [817]
The pool has a diameter 20 ft so:  r = 10 ft.
The pool cover extents 12 inches beyond the edge of the pool. 
12 inches = 1 foot
Therefore, the radius of the pool cover is : r = 10 + 1 = 11 ft.
a. The area of the pool cover:
A = r² π = 11² π = 121 π ft²
b.  The length of the rope:
l = 2 r π = 2 · 11 π = 22 π ft.
3 0
3 years ago
Can someone explain why A is the right answer to this question? I'm unsure of how to work out this problem.
joja [24]

So firstly, we have to find the radius of the circular garden before finding the circumference (the amount of fencing needed to surround the garden). To find the radius, use the area formula (A=\pi r^2), plug in the area of the garden (36 ft^2) and solve for r as such:

36=\pi r^2\\ \frac{36}{\pi}=r^2\\ \frac{\sqrt{36}}{\sqrt{\pi}}=r\\ \frac{6}{\sqrt{\pi}}=r

So that we know the radius, plug that into the circumference equation (C=2\pi r) to solve:

C=2\pi*\frac{6}{\sqrt{\pi}}\\ C=\frac{12\pi}{\sqrt{\pi}}\\ C=12\sqrt{\pi}

Your answer is A. 12√π.

4 0
3 years ago
Six times a number x and was added to 90 and the result is -42. What is the number​
ANTONII [103]

According to the question,

6x + 90 = -42

<h3>To Find:</h3>

The value of x.

<h3>Solution:</h3>

6x = -42 + 90

or, x = 48/6

or, x = 8

<h2>Answer:</h2>

The value of x is 8.

6 0
3 years ago
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