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Alex777 [14]
3 years ago
12

If the volume of the pyramid shown is 108 inches cubed, what is the area of its base? A pyramid with a height of 8 inches. 4 inc

hes squared 12 inches squared 24 inches squared 36 inches squared
Mathematics
1 answer:
notka56 [123]3 years ago
7 0

Answer:

D

Step-by-step explanation:

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A roped-off area of width x is created around a 30- by 10-foot rectangular museum display of Native American artifacts. The comb
Monica [59]

Answer: 4x^{2}+80x-500=0

Step-by-step explanation:

1. You know that:

-  The roped-off area whose width is represented with <em>x,</em> it is created around  a rectangular museum.

- The dimensions of the rectangular museum are: 30 ft by 10 ft.

- The combined area of the display and the roped-off area is 800 ft².

2. The area of the rectangular museum can be calculated with:

A=l*w

Where l is the lenght and w is the width.

You have that the lenght and the width in feet are:

l=30\\w=10

3. Let's call x the width of the roped-off area. Then, the combined area is:

A_c=l_c*w_c

Where

A_c=800

l_c=l+x+x=30+2x

w_c=w+x+x=10+2x

4. Substitute values and simplify. Then:

 800=(30+2x)(10+2x)

800=300+60x+20x+4x^{2}\\4x^{2}+80x-500=0

5 0
4 years ago
Which could be the length of BC?<br><br> 11 ft<br><br> 13 ft<br><br> 15 ft<br><br> 18 ft
Tresset [83]

Answer:

its d

Step-by-step explanation:

i just took it

6 0
3 years ago
Solve for y a(n+y)=10y+32 what is the answer
Solnce55 [7]
A (n + y) = 10y + 32
(an + ay) = 10y + 32

an + ay = 32 + 10y

Solve for "a"
-32 + an + ay + (-10y) = 32 + 10y + (-32) + (-10y)
-32 + an + ay + -10y = 32 + -32 + 10y + -10y
<span>- 32 + an + ay + (-10y) = 0 + 10y + (-10y) 
- 32 + an + ay + (-10y) = 10y + (-10y)

</span><span>10y + -10y = 0
-32 + an + ay + (-10y) = 0

Thi could not be determined. (no solution)</span>
6 0
3 years ago
A survey of 100 people found that 35 people exercise in the morning, 45 people exercise in the afternoon, and 20 people exercise
Sophie [7]
Jim is correct because the ratios need to compare with the total amount of people surveyed. 55, 80, and 65 are numbers that don't fit in and don't tell the overall ratio. You can tell this by writing it as a fraction. 
Ex: 35:100 = 35/100. This literally means 35 out of 100 people exercise in the morning. 

Hope this helps! If you have any questions, just ask!
4 0
3 years ago
Read 2 more answers
Prove the divisibility of the following numbers:
Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}

(B)

72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}

In this case, it is easier to also factor the divisor to primes:

72^{63}=2^{189}\cdot 3^{126}

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}

6 0
3 years ago
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