A tower casts a shadow 11 feet long the distance from the top of the tower to the end of the the shadow is 61 feet how many feet tall is the tower?

Answers

Answer 1

Answer: This is very easy!! I have attached a picture I have drawn if you are a visual learner... well, everything else like computations is here.
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This is the PYTHAGOREAN THEOREM!!
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If you don't know, it says that the lengths of the legs squared added together all equal the hypotenuse squared in a right triangle!!
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And if you want to know why the "triangle" has a right angle... well, are towers slanted? I mean, other than the Leaning Tower of Pizza. I mean Pisa.
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So... we plug it in!!
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Formula: a^2 + b^2 = c^2.
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Plug it in: 11^2+ 61^2 = c^2
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c^2 = 3842.
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So now what?
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SQUARE ROOT OF EVERYTHING!!
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c = √3842.
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So? c = approximately 61.984.
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Hope I helped!!

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the sum of two number is 20 and their difference is 4. Find the ratio of greater inequality of the number.

Answers

Hello,
If the numbers are a and b and (a>=b)
Are-you asking a/b ?
If yes,
a+b=20
a-b=4
==>2a=24
==>a=12 and b=20-12=8

a/b=12/8=3/2

On a map, 1/4 inch represents 12 miles. If a road is 66 miles long, what is its length, in inches, on the map?

Answers

$(1)/(4)\ in\ on\ the\ map \ \rightarrow\ \ 12\ miles\n \nx\ \rightarrow\ 66\ miles\n \n12\cdot x= (1)/(4)\cdot 66\ /:12\n \n x= (33)/(2) \cdot (1)/(12) \n \nx= (3\cdot11)/(2\cdot3\cdot4) \n \nx= (11)/(8) \ [in]\n \nx=1.75\ [in]$

it'll be 1 $(5)/(6)$ inches on the map

since 12 miles is a quarter of an inch, we need to see how much it will be for 66 miles. we divide 66 by 12, which gives us 5 $(1)/(2)$

we multiply that by $(1)/(4)$ , which gives us thusly 1 $(5)/(6)$ of an inch = 66 miles.

Find the length of the radius of the following circle.

x² + y² = 16

Answers

The circle: (x - a)² + (y - b)² = r² where (a; b)-center; r-radius

x² + y² = 16 therefore r² = 16 ⇒ r = √16 = 4

What is 7/10-14/100 in simplest form

Answers

$(7)/(10)-(14)/(100)=0.7-0.14=0.70-0.14=0.56$

first you have to make the fractions have the same denominator. so change 7/10 to 70/100. so that would be 70 minus 14. so the answer is 56/100. which can be simplified into 14/25.

A. y = 3/4x - 5 I'm confused on how I'm suppose to find the slope and y-intercept.

Answers

Answer:

The slope is 3/4 and the y-intercept is -5.

Step-by-step explanation:

Your equation is already in slope-intercept form, so all you have to do is look at it. Slope-intercept form looks like y = mx + b, where m is the slope and b is the y-intercept. Hope that helps!

Find the product.
(n^3)^2 * (n^5)^4

Answers

Hi

(n^3)^2 × (n^5)^4 = n^6 × n^20 = n^26

Answer: n^26

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