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stiv31 [10]
3 years ago
13

150, 60, 24,... Find the 9th term.

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
6 0
Arithmetic Sequences
Divided by 2.5
150, 60, 24, 9.6, 3.84, 1.536, 0.6144, .24576, 0.098304
The 9th term is 0.098304
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Find the arc length and area of a sector with radius R =60 inches and central angle equals 30° round your answer to the nearest
Black_prince [1.1K]

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Given a sector of a circle with the following dimensions:

Radius of the circle =60 inches

Central Angle of the sector =30°

(a)Arc Length

Arc Length =\dfrac{\theta}{360^\circ}X2\pi r

=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)

(b)Area of the sector

Area of the sector =\dfrac{\theta}{360^\circ}X\pi r^2

=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)

3 0
4 years ago
Read 2 more answers
Find the smallest number of 4 digit which when divided by 40,50,and60 leaves remainder of 5 in each case
miv72 [106K]

Remark

First of all, you should notice that the number you want must end in 5 to get a remainder of 5. That's because your divisors all end in 0.

Step One

Factor the 3 divisors

40: 2 * 2 * 2 * 5

50: 2 * 5 * 5

60: 2 * 2 * 3 * 5

Step Two

Using these factors, find the LCM

There are 3 twos, 1 Three, and 2 fives.

The LCM is 8*3*25 = 600

Step Three

Find the first number over 1000 that is divisible by 600. That should be 1200 which is 600 * 2

So the answer to your question is 1205

6 0
3 years ago
What is the GCF of 15r,25
xz_007 [3.2K]
The GCF of 15 and 25 would be 5
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3 years ago
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Which test point holds true for y − 2x ≤ 1?
Nataly_w [17]
I think it is (-2,4)
8 0
4 years ago
According to the synthetic division below, which of the following statements are true? Check all that apply
slamgirl [31]

Answer:

Step-by-step explanation:

Looking at our particular problem...let's identify everything that's going on here. What's inside the box are the coefficients from the original polynomial, with the last number being the constant. If we have 3 numbers there, which we do, then the first number is a coefficient on x², the second number is the coefficient on x, and the third number is the constant. So from that we know that our original polynomial was a 2nd degree, namely:

3x² + 7x - 20

The number outside the box is the number we are dividing into this original polynomial. This is a number in solution form. That means that x = -4. If

x = -4 is a solution, then the factor is (x + 4) = 0.

The numbers in the very bottom row are the coefficients of what is called the depressed polynomial, and this depressed polynomial is one degree less than the degree with which we started. So this depressed polynomial is a linear one (first degree, which is a line). The very last number in this bottom row is the remainder. If the remainder is 0, then -4 is a solution of the polynomial, it is also a 0, and (x + 4) is a factor of the polynomial. Our remainder is a 0.

So putting that all together gives us the answers as A, C, and E are our choices.

8 0
3 years ago
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