Answer:
2/3x - 3 = 5
Step-by-step explanation:
Let x be the number
2/3x - 3 = 5
Add 3 to each side
2/3x-3+3 = 5+3
2/3x = 8
Multiply each side by 3/2
3/2*2/3x = 8*3/2
x = 12
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9² = 12² + 15² - 2 (12) (15) cos (B)
81 = 144 + 225 - 360 cos(B)
81 = 369 - 360 cos (B)
360 cos (B) = 369 - 81
360 cos (B) = 288
cos (B) = 0.8
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Answer: Cosine B = 0.8
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12² = 15² + 9² - 2 (15)(9) cos (A)
144 = 225 + 81 - 270 Cos A
144 = 306 - 270 Cos A
270 Cos A = 162
Cos A = 3/5 or 0.6
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Answer: Cosine Angle A = 3/5
Answer:
AED and BEC
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees.
AEB + AED = 180.
AEB + BEC = 180.
Hope this helps!
Answer:
C) 7
Step-by-step explanation:
3^x−2=2187
Step 1: Add 2 to both sides.
3^x−2+2=2187+2
3^x=2189
Step 2: Solve Exponent.
3^x=2189
log(3x)=log(2189) <<Take log of both sides
x*(log(3))=log(2189)
x= log(2189)/log(3)
x=7.000832
The area of the square pyramid building is the amount of space on it
The maximum base length of the building is 67.42 cm
<h3>How to determine the maximum side length?</h3>
The given parameters are:
Base = b
Slant height (l) = 5b
The lateral surface area is calculated using:
L = 2bl
So, we have:
L = 2 * b * 5b
Evaluate the product
L = 10b^2
The total surface area is calculated using:
T = L + b^2
So, we have:
T = 10b^2 + b^2
Evaluate the sum
T = 11b^2
The maximum surface area is 50,000 square feet
So, we have:
11b^2 = 50000
Divide both sides by 11
b^2 = 50000/11
Take the square root of both sides
b = 67.42
Hence, the maximum base length of the building is 67.42 cm
Read more about square pyramids at:
brainly.com/question/27226486
