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aniked [119]
3 years ago
8

Felix measured a house and its lot and made a scale drawing. He used the scale 1 inch : 8 feet. If the porch is 2 inches in the

drawing, how wide is the actual porch?
Mathematics
2 answers:
dangina [55]3 years ago
7 0

Answer:

16 feet wide

Step-by-step explanation:

Use the proportion

1 in is to 8 feet as 2 inches is to 'x' feet.

1/8 = 2/x    

now solve by cross multiplying

x = 16 feet

Alexandra [31]3 years ago
3 0
16 feet long
1/8=2/x
Now solve by cross multiplying
X= 16 feet
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Convert the polar coordinates (-3, -60°) to Cartesian coordinates.
notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x

#Using the illustration above, we can express our polar coordinates as:

-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}

#Solve simultaneously to solve for x and y:

(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\  y \ in\  i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6

Hence, the Cartesian coordinates are (1.5,-2.6)

6 0
3 years ago
Earth travels around the sun at a speed of about 30 kilometers per second. Convert this speed to kilometers per minute.
Verizon [17]

Answer:

1800

Step-by-step explanation:

there are 60 seconds in a minute

so, 30 * 60 = 1800

8 0
3 years ago
What is the slope of the line graphed in the coordinate grid?
zvonat [6]

Answer:

3/4

Step-by-step explanation:

I drew a slope triangle and found the slope by finding the distance between two points on the line.

vertical distance/horizontal distance

Hope this helped!

5 0
3 years ago
Simplify 3/4 ÷ 9/8 ( write answer as a fraction)
ElenaW [278]
The answer is 2/3 (i think ✨)
6 0
3 years ago
Helllllppppppp help help
Katena32 [7]

Answer:

1. 2

2. 8

3. 1.5

4. 62.83185

5. 18.85

6. 87.96

7. 12.57

8. 1256.64

9. 63.62

10. Half

11. perimeter

12. not sure

Step-by-step explanation:

8 0
3 years ago
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