Answer:
200.96in^2
Step-by-step explanation:
If the 1st cookie cake is 8" for its diameter and the 2nd cookie cake will have twice the length diameter of the 1st cookie cake .You will do 2 × 8 to get the diameter of the 2nd cookie cake.
First cookie cake diameter is 8".
Second cookie cake's diameter is 16".
Since we need the radius to find the area of the 2nd cookie cake we're going to do 16 / 2 which equals 8 so 8 is the radius.
A=(pi)r^2
A=(pi)8^2 *to the 2nd power means times by the same number
A=(pi)64
A= (3.14)(64)
A=200.96
=200.96^2
pi= 3.14 *for this problem
<u><em>780 students</em></u>
<u><em></em></u>
<em>Set up a proportion.</em>
<em />
<em>75 / 125 = x/1300</em>
<em />
<em>125 10.4 = 1300</em>
<em />
<em>75 * 10.4 = 780</em>
<em />
<em>x=780</em>
Answer: The value of x= 18
Step-by-step explanation:
Given: In triangle EFG, angle E equals 8x-16, angle F equals x+8, and angle G equals 2x-10.
The sum of all angles of a triangle is 180°.
Therefore, in triangle EFG
∠E + ∠F +∠G= 180°
⇒ 8x-16 +x+8+ 2x-10 = 180
⇒ 11x-18= 180
⇒ 11x = 180+18
⇒11x=198
⇒ x= 18 [Divide both sides by 11]
Hence, the value of x= 18
Answer:
8 cm and 9 cm
Step-by-step explanation:
In order to find out, you add both 8 and 9 together. If the sum is above/higher than the number 13, they can all be made into a triangle. 8+9 is 17 and 17 is higher than 13.
hope this helps!
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Answer:
x ∈ {2.07014981016}
Step-by-step explanation:
The equation can be rewritten as ...
√x = 18-8x
x = 324 -288x +64x²
64x² -289x +324 = 0
x = (289 ±√577)/128 ≈ {2.07015, 2.44548}
Since √x must be positive, we know that ...
18 -8x ≥ 0
x ≤ 18/8 = 2.25
The larger of the above solutions is extraneous, so the solution set is ...
x ∈ {(289 -√577)/128} ≈ {2.07015}