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Juli2301 [7.4K]
3 years ago
11

Calculate the area of a sector of a circle that subtends an angle of 45° at the center of the circle, radius 14cm

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0

Calculate the area of the full circle:

Area = PI x r^2

Area = 3.14 x 14^2  = 615.44 sq. cm

45 degrees is 1/8 of a circle, multiple the area of the circle by 1/8

615.44 x 1/8 = 76.93, round to 77 cm^2

The answer is B. 77 cm^2

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Find the equation of the line passing through points (-4,2) and (1,-6)
anzhelika [568]

Answer:

y + 6 = (-8/5)(x - 1) in point-slope form

Step-by-step explanation:

Moving from the 1st point to the first, we see that x (the 'run') increases by 5 from -4 to 1, and y (the 'rise') decreases by 8.  Thus, the slope of the line through these two points is m = rise / run = -8/5

Now we have two points on the line, plus the slope.  Let's write out the point-slope formula for the equation of a straight line:

y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.

Here, using the point (1, -6), we obtain:

y + 6 = (-8/5)(x - 1) in point-slope form

8 0
2 years ago
Find an equation of the line having the given slope and containing the given point.
mart [117]

Answer:

y=8x-69

Step-by-step explanation:

you would use the equation y-y1 = m (x - x1)

plug in m = 8 , y1 = 3, x1 = 9

now you have y - 3 = 8 (x-9)

distribute 8 --> y-3 = 8x - 72

add three to both sides to get y = 8x - 69

6 0
2 years ago
Given: ABCD is a parellelogram. Prove: AB=CD and BC=DA'
alexgriva [62]
Parallelogram opposites side theorem which states that If a quadrilateral is a parallelogram , then it’s opposite sides are congruent
5 0
3 years ago
Write the given phrase as an algebraic expression. Use the variable x to represent the unknown number.
Alchen [17]
Hello! I would love to help!

Let's start with this part of the equation: "the sum of a number and seven"

Alright. We know that x represents an unknown number. Do you see a part of the equation that could translate to "an unknown number?"

I see "a number." So let's fill X in for "a number.

Alright. So now we have "the sum of x and 7."

Next, let's remember that sum means adding. So we just need to 7 to x

X+7


So, now instead of "the sum of a number and 7" we have x+7.

Alright. Now we just have to do the "twice." When it is asking for "twice", it is asking us to multiply our answer by two. But we need to multiply both x and 7. The best way to do that is to put our "x+7" in parenthesis and put a two outside.

2(x+7)


That's your answer! 2(x+7)


Hope this helped! Comment if you have any questions!
5 0
3 years ago
Answer this equation: 4 3/5 - -3 2/5 + 3
horrorfan [7]

Answer:

24

Step-by-step explanation:

4\frac{3}{5} -(-3\frac{2}{5})+3

Negative and another negative makes a positive.

4\frac{3}{5}+3\frac{2}{5}+3

Add the fractions first.

7\frac{5}{5}+3

5/5 is equivalent to 1. 7 5/5 becomes 8.

8+3

Add the numbers.

24

I hope this helps!

6 0
3 years ago
Read 2 more answers
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