Answer:
angle BAC = 116
Step-by-step explanation:
since the triangle is isosceles and AB and AC are congruent, that means angle ABC and angle ACB are the same by the isosceles triangle theorem. so you know angle ABC and angle ACB are 32 and all angles in a triangle equal to 180. so you find angle BAC subtracting both of the 32 angles from 180 and you should get 116
Answer:
<h2>Mjhs needs 189.25 square feet of blue paint, approximately.</h2>
Step-by-step explanation:
As you can observe in the image attached, the basketball court is a composite figure formed by a rectangle and half of a circle.
The rectangle has dimensions of 10 feet by 15 feet. The circle has a diameter of 10 feet.
The expression of this composite area would be
![A= w \times l + \frac{\pi (\frac{l}{2} )^{2} }{2}](https://tex.z-dn.net/?f=A%3D%20w%20%5Ctimes%20l%20%2B%20%5Cfrac%7B%5Cpi%20%28%5Cfrac%7Bl%7D%7B2%7D%20%29%5E%7B2%7D%20%7D%7B2%7D)
Where
and
. Replacing these values, we have
![A= 15 \times 10 + \frac{3.14 (\frac{10}{2} )^{2} }{2}\\ A=150 + \frac{3.14 \times 25}{2}=150+39.25 \\ A \approx 189.25 \ ft^{2}](https://tex.z-dn.net/?f=A%3D%2015%20%5Ctimes%2010%20%2B%20%5Cfrac%7B3.14%20%28%5Cfrac%7B10%7D%7B2%7D%20%29%5E%7B2%7D%20%7D%7B2%7D%5C%5C%20A%3D150%20%2B%20%5Cfrac%7B3.14%20%5Ctimes%2025%7D%7B2%7D%3D150%2B39.25%20%5C%5C%20A%20%5Capprox%20189.25%20%5C%20ft%5E%7B2%7D)
Therefore, Mjhs needs 189.25 square feet of blue paint, approximately.
Answer:
y = (4/3)x - (22/3)
Step-by-step explanation:
If it's parellel than they have the same slope.
m = 4/3
y = mx + b
y = (4/3)x + b
2 = (4/3)(7) + b
(6/3) = (28/3) + b
-(28/3) -(28/3)
(-22/3) = b
Answer:
its 7
Step-by-step explanation:
7
ANSWER :
Surface area of larger cone : 24π units^2
Surface area of smaller cone : 6π units^2
The surface area of the smaller cone is 25% of that of the larger cone.
EXPLANATION :
From the given problem,
AB = 3 is the radius of the larger cone and the slanted height is BC = 5
DE = 1.5 is the radius of the smaller cone and the slanted height is EC = 2.5
Recall the surface area of the cone :
![A=\pi r^2+\pi rL](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2%2B%5Cpi%20rL)
where r = radius and L = slanted height.
For the larger cone, r = 3 and L = 5
![\begin{gathered} A=\pi(3)^2+\pi(3)(5) \\ A=24\pi \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D%5Cpi%283%29%5E2%2B%5Cpi%283%29%285%29%20%5C%5C%20A%3D24%5Cpi%20%5Cend%7Bgathered%7D)
For the smaller cone, r = 1.5 and L = 2.5
![\begin{gathered} A=\pi(1.5)^2+\pi(1.5)(2.5) \\ A=6\pi \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D%5Cpi%281.5%29%5E2%2B%5Cpi%281.5%29%282.5%29%20%5C%5C%20A%3D6%5Cpi%20%5Cend%7Bgathered%7D)
Comparing the surface areas :
The area of the smaller cone compared to the larger cone is :