The volume of a right triangular prism is 72 cubic feet. The height of the prism is 9 feet. The triangular base is an isosceles
2 answers:
Answer:
Area of triangular Base is 8 feet² & Edge length is 4 feet.
Step-by-step explanation:
Given: Volume of Rectangular prism = 72 feet³
Height of prism = 9 feet
triangle of base is an isosceles right angled triangle.
To find: Area of Triangular Base & Edge of triangle
we know that,
Volume of Prism = Area of Base × Height
⇒ Area of Triangular Base × 9 = 72
Area of Triangular Base =
Area of Triangular Base = 8 feet²
Triangular Base is an isosceles right angled triangle .i.e., perpendicular legs are equal in length say x.
x = 4
Length of Edge = 4 feet
Therefore, Area of triangular Base is 8 feet² & Edge length is 4 feet.
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As I've shown on picture that I attached:
∠ADC=∠ADB+∠BDC⇒134=5x+4+7x-2
12x+2=134
12x=132⇒x=132/12
x=11
Angle BDC measure 7x-2=7*11-2⇒∠BDC=75.
∠ADC=∠ADB+∠BDC⇒134=5x+4+7x-2
12x+2=134
12x=132⇒x=132/12
x=11
Angle BDC measure 7x-2=7*11-2⇒∠BDC=75.
Answer:
44.1m
Step-by-step explanation:
we are given a quadratic function which represents the height and time of a baseball
we want to figure out maximum height of
the baseball
since the given function is a quadratic function so we have a parabola
which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)
to do so we can use some special formulas
recall that,
notice that, our given function is not in standard form i.e
let's make it so
therefore we got
our <em>a</em> is -4.9 and <em>b </em>is 29.4
so substitute:
remove parentheses and change its sign:
simplify multiplication:
simplify division:
so we have figured out the time when the baseball will reach the maximum height
now we have to figure out the height
to do so
substitute the got value of time to our given function
simplify square:
simplify mutilation:
simplify substraction:
hence,
the maximum height of the baseball is 44.1 metres
