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olya-2409 [2.1K]
2 years ago
12

What is the slope of a line that is perpendicular to the line with equation 12x+3y=9?

Mathematics
1 answer:
defon2 years ago
5 0

Answer:

Step-by-step explanation

4x-3=y

perpendicular means

-1/4x-3=y

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13. A cone with a radius of 3 inches and a height of 7 inches has the same radius as a cylinder. If the cylinder's volume is two
Ghella [55]

Answer:

Step-by-step explanation:

r = 3 in

h = 7 in

volume of cone = ⅓πr²h = 21π in³

cylinder has radius r = 3 and height h.

volume of cylinder = πr²h = 9πh in³

volume of cylinder is two times the volume of cone

9πh = 2×21π

9h = 42

h = 42/9 = 4⅔ in

3 0
2 years ago
graham's monthly bank statement showed the following deposists and withdrawals: -$25.20,$52.75,-$22.04,-$8.50,$94.11 if graham's
dezoksy [38]
Answer= $138.98

47.86-25.20+52.75-22.04-8.50+94.11=$138.98
3 0
3 years ago
A parallelogram has
exis [7]

Answer:

Step-by-step explanation:

Yes it is

5 0
3 years ago
Read 2 more answers
Samantha threw and apple out of the window fr the tenth floor of her apartment building. The equation y= -16t^2 +120 can be used
prohojiy [21]
Answer:
time taken = 2.74 seconds

Explanation:
We are given that:
y = -16t² + 120 models the situation where:
y is the floor number
t is the time taken for the apple to hit the ground

We are also given that the floor number (y) is 10. Therefore, all we have to do is substitute with y in the above equation and solve for the time t as follows:
y = -16t² + 120
10 = -16t² + 120
120 - 10 = 16t² 
110 = 16t²
t² = 110/16
t = ±√6.875
either t = 2.74 seconds ..........> accepted
or t = -2.74 seconds .........> rejected as time cannot be in negative

Hope this helps :)
3 0
3 years ago
Fred is safety conscious. He knows that to be safe, the distance between the foot of the ladder and the wall should be 1/4 the h
ELEN [110]

Answer:

Step-by-step explanation:

This is a right triangle problem using Pythagorean's Theorem.  The height of the building to the edge of the roof is 20 feet.  If the ladder has to be 1/4 the height of the wall away from the building, then the base of the right triangle is 1/4 of 20 which is 5 feet.  The ladder itself is the hypotenuse of the triangle, for which we are seeking a length.  Use Pythagorean's Theorem:

c^2=20^2+5^2 and

c^2=400+25 and

c^2=425 so

c = 20.6 ft

3 0
3 years ago
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