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MrRissso [65]
3 years ago
7

If a tower casts a shadow 11 feet long the distance from the top of the tower to the end of the shadow is 61 feet .. How many fe

et tall is the tower

Mathematics
1 answer:
Svetach [21]3 years ago
8 0
Use\ the\ Pythagoras\ Theorem:\\\\H^2+11^2=61^2\\\\H^2+121=3721\ \ \ \ |subtract\ 121\ from\ both\ sides\\\\H^2=3600\\\\H=\sqrt{3600}\\\\\boxed{H=60}\\\\Answer:Tower\ is\ 60\ feet\ tall.Answer here

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Kyoko is reading a book by her favorite author. She read the first 20 pages in 1/2 of an hour. Reading at the same pace, Kyoko w
yarga [219]
<span>It will take her 3 hours to read 120 pages.</span>
7 0
3 years ago
Help me with (-6,-7);y=-4x+1
Morgarella [4.7K]

Answer: y=-4x-31

Step-by-step explanation:

To find a ling that is parallel to the given line and passes through the given point, we need to use the given point. We know that the slope MUST stay the same because parallel lines NEVER touch. All we have to do is plug in the point and find the y-intercept.

-7=-4(-6)+b            [multiply]

-7=24+b                 [subtract both sides by 24]

b=-31

Now, we know that y=-4x-31 is the equation.

4 0
3 years ago
I need to find the value of X
nirvana33 [79]

Answer:

17.7

Step-by-step explanation:

This figure is a pentagon - a shape with 5 sides. In a pentagon, the figure's angles add to 540.

100 + 7x-4 + 3x + 23 + 9x - 6 + 90 = 540

190 +19x + 13 = 540

203 + 19x = 540

19x = 337

x = 17.7

3 0
3 years ago
The pair of points (-4, y) and (5, 7) lie on a line with slope . What is the value of y? You must show all of your work to recei
Svetach [21]

The slope of a line is given by the ratio of the rise to the run of the line.

The value of, y is <u>4</u>

Reasons:

The given points on the line are; (-4, y), and (5, 7)

The slope of the line, = \dfrac{1}{3}

Required:

To find the value of <em>y</em>

<em />

Solution:

The formula for the slope is given as follows;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where;

(x₁, y₁) = (-4, y)

(x₂, y₂) = (5, 7)

Which gives;

Slope, \, m =\dfrac{7-y}{5-(-4)} = \dfrac{7-y}{5+4} =\dfrac{1}{3}

3·(7 - y) = 1·(5 + 4) = 9

21 - 3·y = 9

3·y = 21 - 9 = 12

y = \dfrac{12}{3} = 4

The value of, y = <u>4</u>

Learn more here:

brainly.com/question/1617757

8 0
3 years ago
Can someone help me with this math homework please!
marin [14]

Answer:

\mathfrak {last \:option }

\mathfrak\blue{ {option \: 2} }

Step-by-step explanation:

x intercept of a function is the point where it's graph intersects the x axis.

or

simply that value x, where the value of y is 0.

since at x = 2; f(x) =0 that point <u>(2, 0)</u> is the x intercept of the function.

5 0
3 years ago
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