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4 years ago

What is the fifth term of a number pattern that begins with 32 and adds 5? A. 47 B. 42 C. 52 D. 57

Mathematics

1 answer:

artcher [175]4 years ago

8 0

The answer you want would be C.52

Reason: 32+5= 37 that is the 1st and 2nd term. 37+5=42 thatis the 3rd term. 42+5=47 that's the 4th term. And 47+5=52 that's the 5th term.

Hope it helps!!

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A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground. How high is the top o

DochEvi [55]

Answer:

The height of tree house is 70.71 feet

Step-by-step explanation:

We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground

Refer the attached figure

Length of rope AC = Hypotenuse =100 feet

The top of a tree house to the ground forms a 45∘ angle of elevation from the ground = $\angle ACB = 45^{\circ}$

We are supposed to find the height of tree house i.e.AB = Perpendicular

So, Using trigonometric ratio

$Sin \theta = \frac{perpendicular}{Hypotenuse}\\Sin 45= \frac{AB}{AC}\\\frac{1}{\sqrt{2}}=\frac{AB}{100}\\100 \times \frac{1}{\sqrt{2}}=AB\\70.71=AB$

Hence The height of tree house is 70.71 feet

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3 years ago

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notka56 [123]

Answer: A) Buddhism

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

10. Read the question carefully and type your answer in the space below. *

Korolek [52]

Answer:

Greatest = 98,321

Least= 12,389

98,321>12,389

Step-by-step explanation:

there are only 5 digits. To get the greatest number, the digits with the most value should be put in front to ensure the great value.

To get the smallest number, the digits with the least value should be put in front.

The greater valued number is greater than the least valued number

5 0

3 years ago

A blueberry shortcake 49 feet, 4 inches long and 9 feet wide was made in Canada on September 19, 1995. The height of the shortca

neonofarm [45]

Answer:

296 cubic feet

Step-by-step explanation:

First and foremost, you have to have everything in either feet or inches. Right now they are in both. Since the answer is asked for in feet, let's convert everything to feet. The width is already in feet, so that's good.

However, even though the length is 49 feet, we still have to convert the 4 inches part of that to feet. Using the fact that there are 12 inches in a foot:

$4in.*\frac{1ft}{12in.}=\frac{1}{3}ft$ so we have

$49\frac{1}{3}ft$

Convert that to improper to make the multiplication easier in the end:

$49\frac{1}{3}=\frac{148}{3}ft$

Now we have to convert the 8 inches to feet using the same reasoning:

$8in.*\frac{1ft}{12in.}=\frac{2}{3}ft$

Now everything is in terms of feet. The volume is found by multiplying length times width times height:

$(\frac{148}{3} )(\frac{9}{1})(\frac{2}{3})= \frac{2664}{9}ft$

Divide that and it comes out to an even 296 cubic feet

4 0

3 years ago

$1,200 TV; discount 40%

aev [14]

Answer: $480

Explanation: First, change the percentage to a decimal by dividing by 100. 40/100 = .4
Then multiply .4 by the cost, $1200. .4*1200 = $480

4 0

3 years ago