Answer:
∠ACD = 33.5°
Step-by-step explanation:
The arc length will be twice ∠ ABD,
∠ABD will equal ∠ACD because they subtend the same arc length.
3x + 7 = 2(2x - 6.5)
3x + 7 = 4x - 13
x = 20
∠ABD = (2(20) - 6.5) = 33.5
Answer:
The slant height is 9 meters.
Step-by-step explanation:
To determine the slant height, we will follow the steps below;
First, write down the formula:
Surface area = 2bs + b²
where b= the length of the base of the square pyramid
s = the slant height of the square pyramid
From the question given,
surface area of a square pyramid = 360 square meters
base length = 12 meters
We can now proceed to insert the values into the formula and then solve for s
Surface area = 2bs + b²
360 = 2(12)s + (12)²
360 = 24s + 144
subtract 144 from both-side of the equation
360 - 144 = 24s
216 = 24s
Divide both-side of the equation by 24
216/24 = 24s/24
9 = s
s = 9 meters
The slant height is 9 meters.
Answer:
Step-by-step explanation:
check the image
A. Reflected across the y-axis and translated one unit down
B. Rotated 90 degrees clockwise
Answer:
P (HHH) = 1/8
Step-by-step explanation:
We want the probability of HHH
P(HHH) = P (heads and Heads and heads)
When we have an and, we multiply the probability
P(heads 1st time) * p(heads 2nd time) * P (3rd time)
The probability of a heads is 1/2
1/2 * 1/2 * 1/2
P (HHH) = 1/8
