Answer:
z=128
Step-by-step explanation:
z/16=8
z=8*16
z=128
Answer: B) is the right answer→the distance between points a and b is equal to the distance between points b and c.
Step-by-step explanation:
As Kerry drew a number line starting at 0, point a, and ending at 1, point c and halfway between points a and c, he added point b.
.⇒ab=1/2 of ac and bc= 1/2 of ac or b is the mid point of line segment ac.
⇒ ab=bc(∵things which are equal to the same thing are equal to one another....→Euclid's first postulate)
Therefore, option B) the distance between points a and b is equal to the distance between points b and c is correct.
A sports field is 200 feet long.
<span>Thus, we have: </span>
<span>L = 200x, where L is the length of x sport fields.</span>
If we imagine it in our head, we can see that the width (base) is 2 and the height is 9
the area is 1/2bh or 1/2*2=9 square units
it is rotated around x axis
meaning we have a sideways cone that is 2 hight and radius is 9
Vcone=1/3(hpir^2)
h=2
r=9
V=(1/3)(2)(3.141592)(9^2)
V=(2/3)(3.141592)(81)
V=(54)(3.141592)
V=169.6459
round
V=169.6 cubic units
base is 2 units
height is 9 units
area is 9 square units
it's a cone (sideways)
it has a volume of 169.6 cubic units
The acute angles in the triangle are 16.6 degrees and 73.4 degrees
<h3>How to determine the acute angles?</h3>
From the question, we have:
Triangle type = Right triangle
Let the acute angles be x and y.
So, we have:
3/4x = 1/4 + 1/6y
Multiply through by 12
9x = 3+ 2y
The sum of acute angles in a right triangle is
x + y = 90
Rewrite as
y = 90 - x
Substitute y = 90 - x in 9x = 3+ 2y
9x = 3+ 2(90 - x)
Open the brackets
9x = 3+ 180 - 2x
Evaluate the like terms
11x = 183
Divide by 11
x = 183/11 = 16.6
Substitute x = 183/11 in y = 90 - x
y = 90 - 183/11
Evaluate
y = 807/11 = 73.4
Hence, the acute angles in the triangle are 16.6 degrees and 73.4 degrees
Read more about acute angles at
brainly.com/question/347922
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