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atroni [7]
3 years ago
13

Based on the triangles, which statement is true?

Mathematics
1 answer:
AlladinOne [14]3 years ago
4 0

The sum of interior angles of a triangle is 180°, and a linear pair is supplementary (adds to 180°). The appropriate choice is

... G. w = 105°, because ...

_____

In short, an exterior angle is equal to the sum of the opposite interior angles.

... w = 180 - (180 - (45 + 60)) = 180 -180 +45 +60

... w = 45 +60

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A room in the shape of a cube has a floor area of 20.25 square metre what is its height ? what is its volume ? ​
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Height= 4.5 Volume= 91.125

Step-by-step explanation:

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Which equation is a line that is parallel to the x-<br> axis and passes through the point (5,2)?
Natali [406]

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y = 2

Step-by-step explanation:

Since the line is parallel to the x-axis,

the gradient, m = 0

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y = 2

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3 years ago
Factor the expression completely 40-5x
tatyana61 [14]

Answer:

5(8-x)

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7 0
3 years ago
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A cone-shaped pile of sawdust has a base diameter of 38 feet, and is 14 feet tall. Find the volume of the pile
Romashka-Z-Leto [24]

Answer:

Given: Diameter of cone = 38 feet and height of cone = 14 feet.

Volume of cone V with radius r is one-third the area of the base B times the height h.

i,e  V = \frac{1}{3} B \cdot h = \frac{1}{3} \pi r^2h  ......[1]

,where B = \pi r^2

First find the radius(r);

Using Diameter(D) = 2r

38 =2r

Divide both side by 2 we get;

\frac{38}{2} =\frac{2r}{2}

Simplify:

19 = r

or r =19 feet

Now, substitute the value of r = 19 feet and h = 14 feet in [1]    [ Use value of  \pi = \frac{22}{7} ]

then, we have:

V = \frac{1}{3} \pi r^2h = \frac{1}{3} \cdot  \frac{22}{7} \cdot (19)^2 \cdot (14)

or

V = =\frac{1}{3}\cdot 22 \cdot 19 \cdot 19 \cdot  2 = \frac{22 \cdot 19 \cdot 19 \cdot 2}{3}

or

V = \frac{15884}{3} =5,294.66667 ≈ 5,294.67 cubic feet.

therefore, the volume of pile is; ≈ 5,294.67 cubic feet.


4 0
3 years ago
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