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STALIN [3.7K]
3 years ago
9

Select the correct location on the coordinate plane.

Mathematics
1 answer:
Phoenix [80]3 years ago
4 0

Answer:

The length of each side is 15.

Step-by-step explanation

The length of each side is just found out by doing 60/4

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A circle has a circumference of 6. It has an arc of length 17/3. What is the central angle of the arc, in degrees?
zepelin [54]

Answer:

340 degrees

Step-by-step explanation:

So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).

So the circumference of a circle = 2pi(r)

This means:

6 = 2pi(r)

Which means that

r = 6/2pi or r = 3/pi

Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:

Arc length is defined by: length = θr

Where θ is our angle value.

So lets plug in:

\frac{17}{3} = (angle)\frac{3}{\pi }

Multiply by pi to get:

\frac{17\pi }{3} = 3(angle)

Divide by 3 to get that:

θ = 17pi/9

So if we convert that from radians to degrees we get 340 degrees.

7 0
3 years ago
A cylindrical container has a volume of 3921 cm3 and a radius of 7 cm. Find the height
FrozenT [24]

Answer:

h≈25.47

Step-by-step explanation:

h=V/πr2

you just plug in the radius and volume into the equation

8 0
3 years ago
What is the justification for step 2 in the solution process?12 - x = 7x +32Step 1: -X = 7x + 20Step 2: -8x = 20
HACTEHA [7]
Answer:

The subtraction property of equality

Option A is correct

Explanation:

The given equation is:

12 - x = 7x + 32

Subtract 12 from both sides

12 - 12 - x = 7x + 32 - 12

-x = 7x + 20 (Step 1)

From step 1 above, subtract 7x from both sides

-x - 7x = 7x - 7x + 20

-8x = 20 (Step 2)

Since we subtracted 7x from both sides to get step 2, the justification for step 2 is the subtraction property of equality

6 0
2 years ago
83076 ÷ 45 with a remainder. Can somebody help me out.
CaHeK987 [17]

Answer:

the exact number would be 1,846.1333333333333333333333333333‬ :)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The vertex of a parabola is at (6,5), and its axis of symmetry is vertical. One of the x-intercepts is at (8, 0). What is the x-
Elena-2011 [213]

Answer:

x=4

Step-by-step explanation:

Vertex form of the quadratic equation: f(x) = a(x - h)^2+k

where the vertex is (h, k)

Given vertex = (6, 5):

\implies f(x) = a(x - 6)^2+5

If one the x-intercepts is (8, 0):

\implies f(8) =0

\implies a(8 - 6)^2+5=0

\implies 4a+5=0

\implies a=-\dfrac{5}{4}

Therefore, equation of parabola:

\implies f(x) = -\dfrac54(x - 6)^2+5

x-intercepts occur when f(x) = 0:

\implies f(x)=0

\implies -\dfrac54(x - 6)^2+5=0

\implies -\dfrac54(x - 6)^2=-5

\implies (x - 6)^2=4

\implies x-6=\pm 2

\implies x=8, x=4

Therefore, the x-coordinate of the other x-intercept is 4.

5 0
2 years ago
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