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photoshop1234 [79]
3 years ago
5

Find the arc length of the partial circle.

Mathematics
1 answer:
katovenus [111]3 years ago
5 0

Answer:7.5π

Step-by-step explanation:

Φ=360-90

Φ=270

Radius=r=5

Length of arc=Φ/360 x 2 x π x 5

Length of arc=270/360 x 2 x π x 5

Length of arc=0.75 x 2 x π x 5

Length of arc=7.5π

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10% of 65 pls help and explain the steps to get total answer​
sergij07 [2.7K]
10% of 65
Of means multiply
=0.1 x 65
=6.5

Or you can use another way which is (part/whole) *(percent/100)

Whole=65
Percent=10
And part(part of 65)=unknown

(X/65)* (10/100)
Cross multiply
x= 6.5

So 10% of 65 is 6.5
5 0
2 years ago
What is the image of point (4, 5) after a counterclockwise rotation of 270º about the origin?
andriy [413]
A <span>counterclockwise rotation of 270º about the origin is equivalent to a </span><span>clockwise rotation of 90º about the origin.

Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.

A clockwise rotation of </span><span>90º about the origin of a point in the first quadrant of the xy-plane will have its image in the fourth quadrant of the xy-plane. Thus the x-value of the image remains positive but the y-value of the image changes to negative.
Also the x-value and the y-value of the original figure is interchanged.
For example, given a point (a, b) in the first quadrant of the xy-plane, </span><span>a counterclockwise rotation of 270º about the origin which is equivalent to a <span>clockwise rotation of 90º about the origin will result in an image with the coordinate of (b, -a)</span>

Therefore, a </span><span>counterclockwise rotation of 270º about the origin </span><span>of the point (4, 5) will result in an image with the coordinate of (5, -4)</span> (option C)
3 0
3 years ago
What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?
RideAnS [48]

Step-by-step explanation:

The function is as follows :

f(x) = x^2 + 5x + 5

We need to find the zeroes of the function in the simplest radical form.The zero of the above function is given by :

x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}

Here,

b = 5

a = 1

c = 5

So,

x=\dfrac{-5\pm \sqrt{5^2-4\times 1\times 5} }{2(1)}\\\\x=\dfrac{-5\pm \sqrt{25-20} }{2(1)}\\\\x=\dfrac{-5\pm \sqrt{5} }{2}

Hence, the correct option is (c).

6 0
3 years ago
If f(x)=x/2+8what if f(x) when x=10
Zinaida [17]

Answer:

f(10)=13

Step-by-step explanation:

f(x)=x/2+8

Let x = 10

f(10)=10/2 +8

      = 5 + 8

      = 13

5 0
3 years ago
Read 2 more answers
Does anyone know these answers please help
Aleksandr [31]
For one since since the angles should add up to 180 degrees we must start by adding 55 and 25 which is 80 so 180-80=100 which means c is 100 degrees and for the other I'm going with C
3 0
3 years ago
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