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3 years ago

8

Make sure you complete the work for EACH triangle and answer whether or not it is a right triangle. * If you do this correctly I

'll give you 50 points.

1 answer:

zalisa [80]3 years ago

5 0

I believe that triangle B and E are right triangles.

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What is the volume of the composite figure? Explain your work. A complete answer should include how you broke up the figure, whi

Sphinxa [80]

Answer:

$15,000\:\mathrm{mm^3}$

Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

The volume of the square prism is given by $V=s^2\cdot h$ , where $s$ is the base length and $h$ is the height. Substituting given values, we have: $V=14^2\cdot 30=196\cdot 30=5,880\:\mathrm{mm^3}$

The volume of a trapezoidal prism is given by $V=\frac{b_1+b_2}{2}\cdot l\cdot h$ , where $b_1$ and $b_2$ are bases of the trapezoid, $l$ is the length of the height of the trapezoid and $h$ is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases ( $\frac{b_1+b_2}{2}$ ) multiplied by the trapezoid's height ( $l$ ).

Substituting given values, we get:

$V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}$

Therefore, the total volume of the composite figure is $5,880+9,120=\boxed{15,000\:\mathrm{mm^3}}$ (ah, perfect)

Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

$V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark$

8 0

3 years ago

2. Tickets to a play cost $344.50 for a group of 12 adults and 10 children. Each aduit ticket cost

Drupady [299]

Each kid ticket will cost 12.25 dollars because 18.50 times 12 equals 222 dollars. You subtract 222 from 344.50 to get the total amount for 10 kids which is 122.50 dollars. 122.50 divides by 10 is 12.50.

5 0

3 years ago

What is the quotient of 100 and the sum of b and 24

I am Lyosha [343]

Are you sure this is the COMPLETE problem?

3 0

3 years ago

What is the length of the diagonal of a 10 cm by 15 cm rectangle?

Archy [21]

The length of the diagonal should be 18 if I am not wrong!

Step-by-step explanation:

a2+ b2=c2

so 10x10+15x15=the diagonal

100+225=325

325 squared = 18

8 0

3 years ago

1. If the stores sell flour for $0.75 per 1 KG how much would it cost for 180G

MAXImum [283]

1) 135 2) 119.40 if you still need the rest reply back to this answer

5 0

3 years ago