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frutty [35]
1 year ago
8

4. A 40 foot ladder is leaning against the side of a building. If the bottom of the ladder is 24

Mathematics
1 answer:
Aleonysh [2.5K]1 year ago
8 0
First you start by drawing a right triangle. the longest side is the length of the ladder (40ft) and will be represented by variable c. Label the vertical side as a and the horizontal side as b(24 ft).

we will use a^2 +b^2 =c^2 to find it. plug in the variables and it will be a^2 + 24^2 = 40^2 which simplifies to a^2 + 576 = 1600. you then isolate the variable by subtracting 576 from 1600. our new equation is a^2 = 1024. we take the sqrt of a^2 and 1024 so our final equation is a=32 ft. the answer is 32 feet.
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8 0
3 years ago
Help me pleaseeee!!!
Colt1911 [192]

Answer:

Slope = 3

Step-by-step explanation:

Because it increases by 3 each time.

3 0
3 years ago
The function h(t) = -16t^2 + 16t represents the height (in feet) of a horse (t) seconds after it jumps during a steeplechase.
Vladimir79 [104]
A.) To find the maximum height, we can take the derivative of h(t). This will give us the rate at which the horse jumps (velocity) at time t.

h'(t) = -32t + 16

When the horse reaches its maximum height, its position on h(t) will be at the top of the parabola. The slope at this point will be zero because the line tangent to the peak of a parabola is a horizontal line. By setting h'(t) equal to 0, we can find the critical numbers which will be the maximum and minimum t values.

-32t + 16 = 0

-32t = -16

t = 0.5 seconds

b.) To find out if the horse can clear a fence that is 3.5 feet tall, we can plug 0.5 in for t in h(t) and solve for the maximum height.

h(0.5) = -16(0.5)^2 + 16(-0.5) = 4 feet

If 4 is the maximum height the horse can jump, then yes, it can clear a 3.5 foot tall fence.

c.) We know that the horse is in the air whenever h(t) is greater than 0. 

-16t^2 + 16t = 0

-16t(t-1)=0

t = 0 and 1

So if the horse is on the ground at t = 0 and t = 1, then we know it was in the air for 1 second.
7 0
3 years ago
What type of triangle has no sides that are the same ?
Goryan [66]

Answer:

Scalene Triangle

Step-by-step explanation:

A triangle with all different sides is a scalene triangle.

Hope this helps!

Please mark brainliest!

8 0
3 years ago
Read 2 more answers
IF ANYONE HELP ME OUT WITH THESE PROBLEMS ILL GIVE EXTRA POINTS AND BRAINLEST​
Dennis_Churaev [7]

Answer:

it's obtuse. reason being cause to be acute it has to be under 90 and to be right it has to be at 90

5 0
3 years ago
Read 2 more answers
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