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Dvinal [7]
3 years ago
7

A flagpole is 20 feet tall. At 4 p.m. it casts a shadow that is 15 feet long. How far is it from the top of the flagpole to the

end of the shadow?
Mathematics
1 answer:
evablogger [386]3 years ago
3 0

9514 1404 393

Answer:

  25 feet

Step-by-step explanation:

The hypotenuse of the right triangle with legs 15 feet and 20 feet can be found using the Pythagorean theorem:

  h^2 = 20^2 +15^2

  h^2 = 400 +225 = 625

  h = √625 = 25

The distance from the shadow tip to the flag pole tip is 25 feet.

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The width of a rectangle is 8y- 1.5 feet and the length is 1.5y+9 feet. Find the perimeter of the rectangle.
lyudmila [28]

Answer:

P=19y+15

Step-by-step explanation:

Step one:

Given data

dimension of the rectangle

Width = 8y-1.5

Length = 1.5y+9

Required

The expression to represents the Perimeter

Step two:

the perimeter of  a rectangle is expressed as

P= 2L+2W\\\\P=2(1.5y+9)+2(8y-1.5)\\\\P=3y+18+16y-3\\\\

collect like terms

P=3y+16y+18-3\\\\P=19y+15

6 0
3 years ago
mrs.eddington is buying a new big screen television. She made an initial payment of $50 and paid a total of $890 over 12 months.
Gnom [1K]
890-50=840 840/12= 70 monthly
3 0
3 years ago
What the slope and y intercept ? and how did you find it ?
EastWind [94]

Answer:

Slope: m=4

y-intercept: b=-1

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

The slope can be found with the following formula:

m=\frac{y_2-y_1}{x_2-x_1}

In this case you can say that:

y_2=-5\\y_1=11\\\\x_2=-1\\x_1=3

Knowing this values you can substitute them into the formula and then evaluate, in order to find the slope. This is:

m=\frac{-5-11}{-1-3}\\\\m=\frac{-16}{-4}\\\\m=4

By definition, the line intersects the y-axis when the value of "x" is 0.

Notice in the table that when x=0, y=-1

Therefore, the y-intercept is:

b=-1

7 0
3 years ago
Helpppp please any answers
hoa [83]

Step-by-step explanation:

2 + 3 × 6 + 4 × 3

Here, Parantheses should be put,

<u>(2 + 3) </u>× 6 + 4 × 3. (P.E.D.M.A.S) ( First Parantheses)

= 5 × 6 + 4 × 3 (Then multiplication)

= 30 + 12. (At last addition)

= 42

7 0
2 years ago
Given that the lines are parallel, what would be the value of angle "a" in the diagram found below?
yawa3891 [41]
Cannot be determined as there isn’t an angle
8 0
3 years ago
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