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Dmitrij [34]
3 years ago
12

What is the slope of the line through(1,-1) and (5,-7)

Mathematics
1 answer:
TEA [102]3 years ago
4 0

Answer:

slope= -1.5

Step-by-step explanation:

-6/4= -1.5

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A pentagonal prism has a height of 9 feet, and each base edge is 3 feet. Find the volume. Round your answer to the nearest hundr
OLga [1]

Height of the pentagon = 9 ft

Edge of base = 3 ft

area of pentagon = \frac{s^{2}n}{4 tan\left ( \frac{180}{n} \right )}

s is the length of any side = 3

n is the number of sides = 5

tan is the tangent function calculated in degrees

\\ \\\\area of pentagon = \frac{3^{2}(5)}{4 tan\left ( \frac{180}{5} \right )}\\\\\\area of pentagon = \frac{9(5)}{4 tan\left ( 36 \right )}\\\\area of pentagon = \frac{45}{4  ( 0.7265 )}\\\\area of pentagon = \frac{45}{2.906}\\\\area of pentagon = 15.4852

Volume of the pentagon = area of base (height )

Volume of the pentagon = 15.4852 (9)

Volume of the pentagon = 139.366

Volume of the pentagon = 139.37 cu.ft


5 0
3 years ago
Read 2 more answers
5x + 3y = 4z Solve for Y.​
harkovskaia [24]

Answer:

y = -5/3x + 4/3z

Step-by-step explanation:

5x + 3y = 4z

3y = -5x + 4z

y = -5/3x + 4/3z

6 0
3 years ago
Read 2 more answers
How many solutions does the following equation have? 4(y-30)=4y+124(y−30)=4y+12
dedylja [7]

Answer:

A. No solution

Step-by-step explanation:

Choose 1 answer:

A. No solutions

B. Exactly one solution

C. Infinitely many solutions

Solution

Given:

4(y-30)=4y+12

Open parenthesis

4y-120=4y+12

Collect like terms

4y-4y=12+120

0=142

There is no solution to the equation, therefore, the answer is A

4 0
3 years ago
30% of 60 is <br><br> 30%of ____ is 60
ololo11 [35]
You know that 3 times 2 is 6 so 30'times 20 equals 60
6 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
mrs_skeptik [129]

2(2x − 1) > 6  or  x + 3 ≤ −6


2(2x − 1) > 6

4x - 2 > 6

4x > 8

x > 2

or

x + 3 ≤ −6

x ≤ - 9

Solution: x ≤ - 9 or x > 2

(- ∞ , - 9] or (2 , + ∞)

Answer is the first one

(- ∞ , - 9] or (2 , + ∞)

8 0
3 years ago
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