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Anestetic [448]
3 years ago
9

A building's basement is 15 feet below ground. The building is square shaped with side lengths of 60 feet. If the height of the

building is 55 feet, what is the length of the building from basement to roof? A) 40 feet B) 45 feet Eliminate C) 70 feet D) 75 feet

Mathematics
1 answer:
bezimeni [28]3 years ago
4 0
See picture. Answer is C

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A patio blueprint has a key that shows 1 inch is equal to 12 feet. If the owner wants the length to be 30 feet, how many inches
harkovskaia [24]

Answer:

18

hope it helps...

5 0
3 years ago
What is the sum of the squares of the lengths of the $\textbf{medians}$ of a triangle whose side lengths are $10,$ $10,$ and $12
FrozenT [24]

A picture can help.

The median to the long side divides the isosceles triangle into two right triangles with hypotenuse 10 and short leg 6. Thus the long leg (median of interest) is found by the Pythagorean theorem to be

... √(10² -6²) = √64 = 8

Then the midpoint of the short side is found to be 6 + (6/2) = 9 units to the side and 8/2 = 4 units above the opposite vertex. Hence the square of the length of that median is 9² + 4² = 97.

The sum of squares of interest is

... 8² + 2×97 = 258

4 0
3 years ago
Read 2 more answers
50a3b-8ab factor the expression completely. part a: factor out the gcf (5 points) part b: factor the difference of perfect squar
dem82 [27]

Answer:

Step-by-step explanation:

50a³b = 2⋅5²a³b

8ab = 2³ab

GCF = 2ab

50a³b - 8ab = 2ab(5²a² - 2²)

5²a² - 2² = (5a - 2)(5a + 2)

8 0
3 years ago
What is the true solution to the equation below? In e^in x + in e^in x^2 = 2 in 8
mariarad [96]
To solve the given equation, w need to review some rules:
(1) \ ln \ e = 1 \\ 
(2) \ ln \  b^{a} = a*ln \ b \\
(3) \ ln \ a + ln \ b = ln \ (ab) \\
(4) \ ln \ a - ln \ b = ln \  \frac{a}{b}  \\

The given equation is :
ln \  e^{ln \ x} + ln \  e^{ln \  x^{2}} = 2 \ ln \ 8
ln \ x * ln \ e + ln \  x^{2} * ln \ e = 2 \ ln \ 8  ⇒⇒⇒⇒ rule (2)
ln \ x + ln \  x^{2} = ln \  8^{2}  ⇒⇒⇒⇒ rule (1) and rule (2)

ln \ ( x*  x^{2} ) = ln \ 64          ⇒⇒⇒⇒ rule (3)
removing the nature logarithm from both sides

x^{3} = 64 =  4^{3}
∴ x = 4


So, the correct answer is option (2) ⇒⇒⇒⇒ x = 4


5 0
3 years ago
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Solve the equation. <br> -4/3(9-2k)=1/2(1/3k+1)
zmey [24]

Answer:

There is no solution.

8 0
3 years ago
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