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3 years ago

The base of a triangular prism has an area of 18 sq in if the height if the prism is 9.5 inches

Mathematics

1 answer:

Mars2501 [29]3 years ago

8 0

Answer:

171 cubic inches

Step-by-step explanation:

The volume of the prism can be found using the formula V = B*h. Here B is the area of the base which is 18 and h = 9.5.

V = 18*9.5 = 171 cubic inches

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3 years ago

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3 years ago

The center of the inscribed circle of Triangle ABC is point , and the center of the circumscribed circle of Triagnle ABC is poin

quester [9]

Answer:

Part A: The center of The inscribed circle is the point S

Part B: The center of The circumscribed circle is the point P

Step-by-step explanation:

Part A: Find the center of The inscribed circle of ΔABC

The inscribed circle will touch each of the three sides of the triangle in exactly one point,

The center of the inscribed circle is the point of intersection between the angle bisectors of the triangle.

So, According to the previous definition:

A₁A₂ and B₁B₂ are the angle bisectors of ∠A and ∠B

So, the inter section between them is the center of The inscribed circle

So, the center of The inscribed circle is the point S

=====================================================

Part B: Find the center of The circumscribed circle of ΔABC

The circumscribed circle is the circle that passes through all three vertices of the triangle.

The center of the circumscribed circle is the point of intersection between the perpendicular bisectors of the sides.

So, According to the previous definition:

P₁P₂ and Q₁Q₂ are the perpendicular bisectors of AB and BC

So, the inter section between them is the center of The circumscribed circle

So, the center of The circumscribed circle is the point P

5 0

3 years ago

Lisa bought an outfit for $37.67. What is $37.67 rounded to the nearest whole number?

almond37 [142]

Answer:

Answer is 38

Step-by-step explanation:

if the first digit in the fractional part of 37.67 is less than 5 then you remove the fractional part to get the answer. If the first digit is 5 or above, then you add 1 to the integer and remove the fractional part to get the answer. First digit is 6 - it is 5 and above, you add 1 to the integer and remove fractional part and get 37.67 rounded to the nearest whole number as 38

Hope this helps

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2 years ago

Read 2 more answers

What is the product? (5r + 2)(3r − 4)

Novay_Z [31]

15r^2 - 14r -12 is the correct answer

8 0

3 years ago

Read 2 more answers

The base of a triangular prism has an area of 18 sq in if the height if the prism is 9.5 inches ​

The base of a triangular prism has an area of 18 sq in if the height if the prism is 9.5 inches