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FinnZ [79.3K]
3 years ago
12

Question is in the picture

Mathematics
1 answer:
maw [93]3 years ago
8 0

Answer:

Step-by-step explanation:

The area of a triangle is:

A=05*b*h

b= base = x

h = height = x-12

A = (1/2)(x)(x-12)

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2 years ago
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A triangle has vertices A(1, 1), B(2, 4), and C(4, 2). Line p is parallel to side AB and contains point C.
kenny6666 [7]

Answer:

p:y = 3x-10

Step-by-step explanation:

We are given the following in the question:

A(1, 1), B(2, 4), C(4, 2)

i) Slope of AB

A(1, 1), B(2, 4)\\\\m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m = \dfrac{4-1}{2-1}=3

Thus, slope of AB is 3.

ii) Point slope form

The point slope form of a line can be written as:

y - y_1 = m(x - x_1)

The point intercept form of line can be written as:

y = mx + c

The line is parallel to AB and contains point C(4, 2). Since line p is parallel to AB, line p will have the same slope as line AB

Putting values, we get,

y - 2 = 3(x-4)\\y = 3x-12+2\\y = 3x-10

which is the required slope intercept equation of line p.

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3 years ago
help me find the volume and area of this figure step by step pleasefyi the answer key my teacher gave me says that the surface a
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The volume of the shape

We have a cylinder that is cut into two. Its external radius is 5ft, while its internal radius is 4ft.

External radius = internal radius + thickness

\begin{gathered} \text{External radius = 4ft + 1ft } \\ =\text{  5ft} \end{gathered}

Internal radius = 4ft (given)

Recall that the volume(V) of a full cylinder is:

V\text{ = }\pi r^2h

Since the cylinder is cut into two, the volume(V) is:

V\text{ = }\frac{\pi r^2h}{2}

height (h) = 12ft (given)

The volume of the shape:

\begin{gathered} =\text{ Volume of cylinder with a radius of 5ft - Volume of cylinder with a radius of 4ft} \\ =\text{ }\frac{\pi\text{ }\times5^2\text{ }\times\text{ 12}}{2}\text{ - }\frac{\pi\text{ }\times4^2\text{ }\times\text{ 12}}{2} \\ =\text{ 471.239 - }301.593 \\ =169.65ft^3 \end{gathered}

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1 year ago
Write 53,278 in Expanded Form
noname [10]
53,278 can be written as:

50,000 + 3,000 + 200 + 70 + 8
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3 years ago
Does 3 times 9.99 give me 29.97?
Delvig [45]

Answer:

Yes it does.

Step-by-step explanation:

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