Answer:
Volume of prism = 240 ft²
Step-by-step explanation:
Given:
Base of prism (B) = 10 ft
Length of prism (L) = 8 ft
Height of prism (H) = 6 ft
Find:
Volume of prism
Computation:
Volume of prism = [BHL] / 2
Volume of prism = [(10)(8)(6)] / 2
Volume of prism = [480] / 2
Volume of prism = 240 ft²
The height of the building is 19.02 feet, for a 20-ft ladder to lean against the building at an angle of 72 degrees.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Trigonometric ratio is used to show the relationship between the sides and angles of a right angle triangle.
Let h represent the height of the building, hence:
sin(72) = h/20
h = 19.02 feet
The height of the building is 19.02 feet, for a 20-ft ladder to lean against the building at an angle of 72 degrees.
Find out more on equation at: brainly.com/question/13763238
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The equation that correctly uses the law of cosines to solve for the missing side length of trianglepqr is <u>8^2 = 7^2 +11^2 - 2(7)(11) cos <P</u>
<h3>The cosine rule formula</h3>
For us to use the cosine formula, an angle must be situated between two sides of the triangle.
According to the rule;
c^2 = a^2 + b^2 - 2ab cos C
From the given diagram, if cos<P is the reference angle, then;
a = 11
b = 7
c = 8
Substiute
8^2 = 7^2 +11^2 - 2(7)(11) cos <P
Hence the equation that correctly uses the law of cosines to solve for the missing side length of trianglepqr is <u>8^2 = 7^2 +11^2 - 2(7)(11) cos <P</u>
Learn more on law of cosine here: brainly.com/question/8288607
Total amount she wants to raise = $3200
Amount she'll get for each kilometer = $35
So, number of kilometers she need to run
= Total amount she wants to raise/Amount she'll get for each kilometer
= $3200/$35
= 91.42....
Since her sponser is will donate only for whole kilometers she'll have to run 92 km.
