Answer:
y=11/3
Step-by-step explanation:
3y=2+9
Divide both sides by 3.
3y/3 = (2+9)/3
y=2/3+9/3
Combine like terms.
<u>y=11/3</u>
Answer: 76 ft2
Step-by-step explanation:
Perimeter = 2 side length +base length
40 = 2s +12
Solving for s:
40-12 =2s
28 =2s
28/2=s
14ft =side
Since the line which bisects and isosceles triangles is at a right angle to the base we can use the Pythagorean Theorem to find the height (see attachment)
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case 14) and a and b are the other sides. (Base divided by 2 is one side, the other side is the height)
Replacing with the values given:
14^2= 6^2 + x^2
196 = 36 + x^2
196-36 = x^2
160 = x^2
√160 = x
x = 12.64 (height)
Area of an isosceles triangle = 1/2 x base x height
A = 1/2 x 12 x 12.64 = 76 ft2
Colby is making a home video consisting of a 5-minute introduction followed by several short skits. Each skit is 8 minutes long. If colby's video is 133 minutes long how many skits are in his video?
He would have 16 skits in his video.
Answer:
3.36 cm
Step-by-step explanation:
from the passage before ; the figure of question is similar to the first figure in passage because those triangles have an each equal angle.
Therefore the ratio of side is equal ; 1/0.84=4/x
Solve equation will be x(1)=4(0.84) ; x=3.36 cm
Answer:
The area of the resulting cross section is 
Step-by-step explanation:
we know that
The resulting cross section is a circle congruent with the circle of the base of cylinder
therefore
The area is equal to

we have

-----> the radius is half the diameter
substitute the values
