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3 years ago

I dont know how to do this, i mean i do but its hard

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

4 0

Answer:

Step-by-step explanation:

opposite= 8 : the length opposite angle c

adjacent=15 : the length next to angle c, not the hypotenuse

hypotenuse= 17 : the hypotenuse will always be opposite the right angle

$sinC=\frac{opposite}{hypotenuse}\\ \\sinC=\frac{8}{17}$

$cosC=\frac{adjacent}{hypotenuse}\\\\cosC=\frac{15}{17}$

$tanC=\frac{opposite}{adjacent} \\\\tanC=\frac{8}{15}$

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The figure is composed of a rectangular prism and a triangular prism. Find the volume of the figure.

Darya [45]

Given:

The given figure is composed of a rectangular prism and a triangular prism.

The length of the rectangular prism is 30 inches.

The width of the rectangular prism is 14 inches.

The height of the rectangular prism is 14 inches.

The base of the triangle is 7 inches.

We need to determine the volume of the composite figure.

Volume of the rectangular prism:

The volume of the rectangular prism can be determined using the formula,

$V=lwh$

Substituting l = 30, w = 14 and h = 14, we get;

$V=30 \times 14 \times 14$

$V=5880 \ in^3$

Thus, the volume of the rectangular prism is 5880 cubic inches.

Volume of the triangular prism:

The volume of the triangular prism can be determined using the formula,

$V=\frac{1}{2}bhl$

where b is the base of the triangle,

h is the height of the triangle and

l is the length of the prism.

Substituting b = 7, h = 14 and l = 30, we get;

$V=\frac{1}{2}(7)(14)(30)$

$V=1470 \ in^3$

Thus, the volume of the triangular prism is 1470 cubic inches.

Volume of the composite figure:

The volume of the composite figure can be determined by adding the volume of the rectangular prism and the volume of the triangular prism.

Thus, we have;

$Volume = 5880+1470$

$Volume = 7350 \ in^3$

Hence, the volume of the composite figure is 7350 cubic inches.

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3 years ago

Watch ordered pair is not a point on the graph of y= -5x + 2?

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D (2,-8) is not a point on the graph

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3 years ago

A piece of wood is 10 1/2 feet long. You cut off 3 3/8 feet to repair your living room floor. How much wood is Left? write your

dolphi86 [110]

Answer:

7.125 feet

Step-by-step explanation:

1. convert both fractions to decimals by dividing numerator by denominator

10 1/2 = 10.5

3 3/8 = 3.375

2. Subtract 10.5-3.375 = 7.125 feet left

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3 years ago

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vesna_86 [32]

Same would need to get at least a 95% on the next test, if he would like to receive a total average of an 80%

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4 years ago

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jacks cow is tied to a beanstalk with a piece of roe that is 15ft long.what is the exact area of the circle in which a cow can g

Zarrin [17]

The formula for the area of a circle is:

A=πr²

Since the rope is connected to the center of this circle, and reaches the end of where the cow can possibly graze, the distance of the rope is the circles radius.

r=15ft

Now we can solve for the area of the circle

A=πr²
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3 years ago