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Charra [1.4K]
3 years ago
10

Find the 98th term of the arithmetic sequence -10, -8, -6, ...

Mathematics
1 answer:
svetoff [14.1K]3 years ago
8 0

First term = a= -10

common difference=d= -8+10 = 2

n= 98

the 98th term = a+(n-1)d = -10+ (98-1)2

= -10+(97)2 = -10 +194

=184

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What is the measure of an exterior angle of a regular polygon with 12 sides?
lubasha [3.4K]

Answer:

30

Step-by-step explanation:

You use the equation 180(n-2) to find the interior angle and 360/n to find the exterior angle

360/12                           divide 360 by the number of sides

30

4 0
3 years ago
I need to know how to do this one.​
Dennis_Churaev [7]

Answer:

x \approx 11.6906

I made the assumption those were right triangles.

Step-by-step explanation:

I like your 30 there.

I found the length in orange by doing 55-30=25.

Now we can try to find the length in light purple by doing orange length plus the length you found which is 25+30=55.

So we can use a trig function to find x.

I made another picture to focus our problem more.

Now if you look at the triangle we have here and refer to trig right triangle definitions, we can setup an equation form this.

The opposite side of the angle, whose measurement is 12 degrees, is x.

The adjacent side of the angle, whose measurement is 12 degrees, is 55.

So I will use the tangent ratio.

\tan(12^\circ)=\frac{\text{opposite}}{\text{adjacent}}

\tan(12^\circ)=\frac{x}{55}

Multiply both sides by 55:

55 \cdot \tan(12^\circ)=x

Now it is handy dandy calculator punching in time:

11.6906 \approx x

x \approx 11.6906

3 0
3 years ago
A large container has a maximum capacity of 64 ounces. The container is filled with 8 ounces less than its maximum capacity. Ans
Oxana [17]

Answer:

87.5 %

Step-by-step explanation:

64 ounces ................... 100%

(64-8) ounces ..................x%

x = (64-8)×100/64

= 56×100/64

= 5600/64

= 87.5 %

7 0
3 years ago
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The rise should be -3 and the run should be 2, the line should also pass through 7.

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PilotLPTM [1.2K]
The answer is y = +8

Explanation:
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Now, we can just add 3 and 5 together, which we get 8

y = +8
4 0
4 years ago
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