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tresset_1 [31]
2 years ago
14

Solve for x. PLEASE SHOW WORK AND HELP

Mathematics
1 answer:
marishachu [46]2 years ago
3 0

Answer:

x= 5

by inscribing angle properties of geometry

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The length of the rectangle is x + 12. The width of the rectangle is x + 3. Please determine the area of the rectangle.
harina [27]

Answer:area = x^2 +15x +36

Step-by-step explanation:

9 0
2 years ago
a boy is standing on a pole of height 14.7m throws a stone upwards. it moves in a vertical line slightly away from the pole and
fomenos

Answer:

The time taken for the upward motion is 1 second. The same time is taken for the downward motion

It reaches a maximum height of 4.9 meters.

Step-by-step explanation:

The equation of motion is:

x(t) = -4.9t^{2} + 9.8t

Since the term which multiplies t squared is negative, the graph is concave down, that is, x increases until the vertex, where it reaches it's maximum height, then it decreases.

Vertex of a quadratic equation:

Quadratic equation in the format x(t) = at^{2} + bt + c

The vertex is the point (t_{v}, x(t_{v})), in which

t_{v} = -\frac{b}{2a}

In this question:

x(t) = -4.9t^{2} + 9.8t

So a = -4.9, b = 9.8

Vertex:

t_{v} = -\frac{9.8}{2*(-4.9)} = 1

The time taken for the upward motion is 1 second.

x(t_{v}) = x(1) = 9.8*1 - 4.9*(1)^{2} = 4.9

It reaches a maximum height of 4.9 meters.

Downward motion:

From the vertex to the ground.

The ground is t when x = 0. So

-4.9t^{2} + 9.8t = 0

4.9t^{2} - 9.8t = 0

4.9t(t - 2) = 0

4.9t = 0

t = 0

Or

t - 2 = 0

t = 2

It reaches the ground when t = 2 seconds.

The downward motion started at the vertex, when t = 1.

So the duration of the downward motion is 2 - 1 = 1 second.

5 0
2 years ago
Represent the arithmetic series using the recursive formula.<br><br> 94, 89, 84, 79, …
Gnom [1K]

Answer:

f(1)=94,f(n)=f(n-1)-5

Step-by-step explanation:

8 0
2 years ago
Find the final price of a $849.99 laptop with 6% sales tax
anygoal [31]
$900.99 (use quizlet)
4 0
3 years ago
Bought three boxes totaling 151 book cost 50% more than the other two what was the price of the more expensive book 80 85 90 95
GenaCL600 [577]
Two cheaper books = x
more expensive = 1.5x
so, 2.5x=150
150/2.5=x=60
therefore the more expensive book = 90
7 0
3 years ago
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