The product of two consecutive parking-space numbers is 110. find the parking-space numbers

Mathematics

1 answer:

slavikrds [6]2 years ago

8 0

Answer:

55.

Step-by-step explanation:

55x2=110

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Can someone help me plz

viva [34]

The side length of the square base is 18 inches and the height of the pyramid is 9 inches.

Step-by-step explanation:

Step 1:

The volume of a square pyramid is calculated by multiplying the square of the base edge with the height of the pyramid and $\frac{1}{3}$ .

The volume of a square pyramid, $V = a^{2} \frac{h}{3}.$

Step 2:

From the given diagram, the base edge is the length of the four base edges which is x inches in this pyramid. a = x inches.

The height of the pyramid is from the base to the top, h = $\frac{x}{2}$ inches .

The volume of a square pyramid, $V = 972.$

Substituting the known values, we get

$972 = (x)^{2} (\frac{x}{2}) (\frac{1}{3} ) = \frac{x^{3} }{6} .$

$x^{3} = 6(972) = 5,832. x = \sqrt[3]{5,832} = 18.$

So x is 18 inches long.

The side length $= x = 18$ inches.

The height of the pyramid $= \frac{x}{2} = \frac{18}{2} = 9$ inches.

4 0

2 years ago

In a class 30 of students, 13 have a cat and 7 have a dog. There are 4 students who

AVprozaik [17]

Answer:

4/13

Step-by-step explanation:

"given that they have a cat?" means you are referring to only the students that have cats(that is the number on the bottom)

i am very bad at explaining math lol

7 0

2 years ago

2x^16-32x^4 what is the completely factored form

marysya [2.9K]

Answer:

Step-by-step explanation:

$~~~2x^{16} - 32x^4\\\\ = 2x^4(x^{12} -16)\\\\=2x^4\left[(x^6)^2 - 4^2 \right]\\\\=2x^4(x^6 -4)(x^6 +4)~~~~~~~~~~~~~~~~~~;[a^2 -b^2 = (a+b)(a-b)]\\\\=2x^4\left[(x^3)^2 - 2^2\right] (x^6 +4)\\\\=2x^4(x^3 -2)(x^3 +2)(x^6 +4)$