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Sunny_sXe [5.5K]
3 years ago
11

What is the area of this figure?

Mathematics
1 answer:
DerKrebs [107]3 years ago
7 0
Area of the full circle = π (13)² = 169π

Area of the sector = 80/360 x 169π = 118 ft²

Answer: 118 ft² (Answer D)
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Find the equation of the line through (0,4) perpendicular to the line y = 3x
Rufina [12.5K]

Answer:

y =  -  \frac{1}{3} x + 4

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

The product of the gradients of perpendicular lines is -1.

Gradient of given line= 3.

(Gradient of line)(3)= -1

3m= -1

m= -  \frac{1}{3}

subst. m= -  \frac{1}{3} into the equation:

y =  -  \frac{1}{3} x + c

To find the value of c, substitute a coordinate.

When x=0, y=4,

4 =  -  \frac{1}{ 3} (0) + c \\ 4 = c \\ c = 4

Thus the equation of the line is y =  -\frac{1}{3} x + 4.

3 0
3 years ago
a box of crackers has a volume of 48 cubic inches. what is the volume of a similar box that is smaller by a scale factor of 2/3
earnstyle [38]
For this case what you need to know is that the original volume of the cookie box is:
 V = (w) * (l) * (h)
 Where,
 w: width
 l: long
 h: height.
 We have then:
 V = (w) * (l) * (h) = 48 in ^ 3
 The volume of a similar box is:
 V = (w * (2/3)) * (l * (2/3)) * (h * (2/3))
 We rewrite:
 V = ((w) * (l) * (h)) * ((2/3) * (2/3) * (2/3))
 V = (w) * (l) * (h) * ((2/3) ^ 3)
 V = 48 * ((2/3) ^ 3)
 V = 14.22222222 in ^ 3
 Answer:
 the volume of a similar box that is smaller by a scale factor of 2/3 is:
 V = 14.22222222 in ^ 3
6 0
3 years ago
I need help with my algerbra
Molodets [167]
I can help you what problem??
5 0
3 years ago
Find the intercept of the line -2x+5y=7
jeka57 [31]
Y intercept = 7/-2 or -3.5
5 0
3 years ago
Ritta purchased a package of stickers. She noticed 4 out of every 5 stickers where purple. Which table shows the relationship be
lisabon 2012 [21]

Answer:

4:5

Step-by-step explanation:

I don't see the table but since it is 4 out of every 5 stickers are purple, the ratio would be 4:5, 4/5, or 4 to 5. It doesn't really matter, because all of these mean the same thing.

Tell me if I'm wrong :)

7 0
1 year ago
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