Answer:
20 cm
Step-by-step explanation:
So from the problem we get that the two sides of the rctangle are 16 cm 12 cm which are base perpendicular of the right angle triangle. H = 20 cm. So the diagonal of the rectangle = 20 cm.
Using the
solver function of the calculator, we can find the roots of the polynomial.
x1
= 9.72484
x2 = −5.36242+8.74882i
x3 = −5.36242−8.74882i
<span>
Since
dimension cannot be imaginary, therefore the height of the cylindrical hole is
9.72 mm.
Calculating
for radius r:
r
= 9.72 mm – 8 mm
r
= 1.72 mm
The
volume of cylinder is given as:
V
= π r^2 h
V
= π (1.72)^2 (9.72)
<span>V
= 90.34 mm^3</span></span>
When you say "I want to make sure that I solved them correctly,
the tasteful, less suspicious thing to do is to list YOUR solutions,
so that the responder can either say "that one's correct" or else
show you how to do it.
1). HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
a). The probability of each one is 1/8 = 12.5% .
b). There's only one of those on the list. 12.5%
c). 12.5%
d). There are 3 ways that can happen. 3/8 = 0.375 = 37.5%
2). There are 16 possible outcomes.
a). Prob of each outcome is 1/16 = 0.0625 = 6.25% .
b). There's only 1 way that can happen, so it's 6.25% .
c). There's only 1 way that can happen, so it's 6.25% .
d). There are 6 ways that can happen. Prob = 6/16 = 37.5%
e). There are 4 ways that can happen. Prob = 4/16 = 25%
The height of the canvas according to tangent is 14 inches.
According to the statement
we have given that the a rectangular canvas for his art project. its width must measure 20 inches and form a 35° angle with the diagonal of the canvas.
And we have to find the height of the canvas.
So, For this purpose,
The given information is:
The 35⁰ angle is part of a right triangle with a side of 20 inches. The tangent of this angle (35⁰) is equal to the opposite side, x, over the adjacent side (20 inches).
Tan (35⁰) = x/20
0.7002 = x/20
x = 14.004 inches.
For more understanding of the statement please see the image below.
So, The height of the canvas according to tangent is 14 inches.
Learn more about tangent here
brainly.com/question/17040970
#SPJ4
