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2 years ago

9

Building A is 883 feet tall and contains 70 stories. Building B contains 104 stories. If the two buildings have the same number

of feet per floor , approximate the height of building B

1 answer:

Snowcat [4.5K]2 years ago

7 0

Answer:

1311.88

Step-by-step explanation:

Feet:stories

883:70

x:104

To solve this we need to multiply 883 by 1.48 because this is what we multiplied 70 to get to 104

x=1311.88=1312

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The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of

kompoz [17]

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

$A=\frac{\sqrt{3} }{4} a^{2}$

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

$A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}$

$A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}$

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

$A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}$

$A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}$

Now, comparing areas:

$\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )$

$\frac{A_{1}}{A_{2}} =$ 2.25

<u>The area of ΔABC is </u><u>2.25x</u><u> greater than the area of ΔDEF.</u>

7 0

2 years ago

The number of books sold over the course of the four-day book fair were 190, 100, 272, and 74. Assume that samples of size 2 are

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Answer:

the answer is below

Step-by-step explanation:

We have the total number of possible samples = 4 * 4 = 16 (As 4 choices for each value)

in addition we have to as all sample occur with equal probability, probability of each sample = 1/16, below is samling distribution of mean

x1 x2 probabilityP(x1,x2) sample mean

190 190 1/16 190

190 100 1/16 145

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100 100 1/16 100

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272 272 1/16 272

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74 100 1/16 87

74 272 1/16 173

74 74 1/16 74

Summarizing above with adding duplicate values

sample mean probability

74 1/16

87 1/8

100 1/16

132 1/8

145 1/8

173 1/8

186 1/8

190 1/16

231 1/8

272 1/16

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3 years ago

Which number line represents the solution to the inequality –4w + 7 < 75 ?

timama [110]

Answer:

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Step-by-step explanation:

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A ____ is a term with a number part but no variable. (WILL GIVE BRAINLIEST) (❁´◡`❁)

Margaret [11]

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Step-by-step explanation:

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2 years ago

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lisov135 [29]

Answer:

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8 0

1 year ago