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Angelina_Jolie [31]
1 year ago
9

Point F is on circle C.

Mathematics
2 answers:
Mama L [17]1 year ago
3 0

the answer is 17.5 units

Solnce55 [7]1 year ago
3 0

Answer:

C

Step-by-step explanation:

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What is a31 of the arithmetic sequence for which a5=12.4 and a9=22.4
miv72 [106K]
For the arithmetic sequence
a₁, a₂, a₃, ...,
the n-th term is
a_{n}=a_{1}+(n-1)d
where d =  the common difference

Because a₅ = 12.4,
a₁ + 4d = 12.4           (1)
Because a₉ = 22.4,
a₁ + 8d = 22.4          (2)

Subtract (1) from (2).
a₁ + 8d - (a₁ + 4d) = 22.4 - 12.4
4d = 10
d = 2.5
From (1),
a₁ = 12.4 - 4*2.5 = 2.4

Therefore
a₃₁ = 2.4 + 30*2.5 = 77.4

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2 years ago
The surface area of a square pyramid is 95 square inches. The side length of the base is 5 inches. What is the value of x?
alina1380 [7]
5 i think sorry if im wrong

8 0
2 years ago
There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%, 92%,
Sav [38]

Answer:

79%

Step-by-step explanation:

To find the median, you need to arrange the numbers in ascending order. Than pick the middle number. If there are two middle numbers then you add them together and then divide by 2.

3 0
1 year ago
A stone is dropped into a barrel of water and sinks to the bottom. The ball is completely covered by water. By how much does the
Rom4ik [11]

Answer:

Answer: 5/12 or approx. 0.42

Step-by-step explanation:

The ball will displace as much water as its volume.

Meaning, the volume of the ball and the volume of the increase in water in the barrel will be equal.

Volume of a sphere:

V_s=\frac{4}{3} \pi r^3

The radius is half the diameter. The diameter of the sphere is 10, thus:

r = d/2 = 10/2 = 5

5^3 = 5*5*5 = 25*5 = 125

V_s=\frac{4}{3} \pi * 5^3=\frac{4}{3} \pi * 125

The volume of a cylinder, which will be the shape of the increase in water, is the following:

V_c=\pi r^2 h

We know the radius r, as we know the diameter.

r=d/2=40/2=20

V_c=\pi r^2 h=\pi h * 20^2 = \pi h * 400

We are looking for the height of the cylinder, h, as that will be the height of the water rise.

Since we know these 2 volumes are the same, we'll set them equal to each other and solve the equation:

V_s = V_c

\frac{4}{3} * 125 * \pi = 400 * h * \pi

We can get rid of pi by dividing both sides by pi:

\frac{4}{3} * 125 = 400 * h

And now divide both sides by 400:

\frac{4}{3} * \frac{125}{400}= h

Just reversing it and putting h to the left:

h = \frac{4}{3} * \frac{125}{400} = \frac{4 * 125}{3 * 400}

I see that I can divide both the numerator and the denominator by 4:

h =\frac{125}{3 * 100}= \frac{125}{300}

I'll now divide both the numerator and the denominator by 25 to simplify the expression:

h=\frac{125}{300} =\frac{125 / 25}{300 / 25} = \frac{5}{12}

Answer: The water rises by 5/12 (five twelfths).

If I want an approximate decimal answer, I can simply run this expression in a calculator:

\frac{5}{12} ≈ 0.416666667 ≈ 0.42

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1 year ago
Cam wants to find 509-106. Which steps can he use to find the difference
attashe74 [19]

Answer:403

Step-by-step explanation:

5 0 9

- 1 0 6

''''''''''''''"''""''''''

4 0 3

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