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Marina86 [1]
3 years ago
13

How do I find the midpoint M C(3,-5) and D(7,9)

Mathematics
1 answer:
Rufina [12.5K]3 years ago
8 0

Given:

The two points are C(3,-5) and D(7,9).

To find:

The midpoint M of the given points.

Solution:

We know that,

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Using the midpoint formula, the midpoint of C(3,-5) and D(7,9) is

M=\left(\dfrac{3+7}{2},\dfrac{-5+9}{2}\right)

M=\left(\dfrac{10}{2},\dfrac{4}{2}\right)

M=\left(5,2\right)

Therefore, the midpoint M of two points C(3,-5) and D(7,9) is (5,2).

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Given that abcd is a rhombus, what is the value of x?
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Answer:

A - 19.5

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4 0
2 years ago
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B at most 3 times

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6 0
2 years ago
A cone has a diameter of 9 inches and a height of 12 inches. Find the volume of the cone to the nearest tenth.
Vanyuwa [196]
1)
The formula for calculating the cone volume is: 
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Data:
V (volume) = ?
h (height) → h = 12 in
d (diagonal) = 9 in , if: d = 2*r , soon: 9 = 2*r → 2r = 9 → r = 9/2 → r = 4.5 in
Use: \pi \approx 3.14

Solving:
V = \frac{ \pi *r^2*h}{3}
V = \frac{ 3.14 *4.5^2*12}{3}
V = \frac{ 3.14 *20.25*12}{3}
V = \frac{763.02}{3}
\boxed{\boxed{V = 254.34\:in^3}}\end{array}}\qquad\quad\checkmark

2)
The circle area formula is: A =  \pi * r^2

Data:
A (area) = ?
d (diagonal) = 19 Km , if: d = 2*r , soon: 19 = 2*r → 2r = 19 → r = 19/2 → r = 9.5 Km
Use: \pi \approx 3.14

Solving:
A = \pi * r^2
A = 3.14*9.5^2
A = 3.14*90.25
\boxed{\boxed{A = 283.385\:Km^2}}\end{array}}\qquad\quad\checkmark


3) False, because it's the volume, the number of cubic units needed to fill a space. 
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