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Degger [83]
4 years ago
15

.5% of 490 is what number

Mathematics
1 answer:
topjm [15]4 years ago
3 0
Hi there, Set the problem up like this, .5/100=x/490, then cross multiply. .5 times 490 and 100 times x would give you 245=100x. Then you divide by 100, and you should get 2.45. Therefore, the answer is 2.45
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Write the explicit formula that represents the geometric sequence -2, 8, -32, 128
Jet001 [13]

The Geometric Sequence Formula:

a_n=a_1r^{n-1}

We have:

a_1=-2,\ a_2=8,\ a_3=-32,\ a_4=128,\ ...

d=\dfrac{a_{n+1}}{a_n}\to d=\dfrac{8}{-2}=-4

Substitute:

a_n=-22\cdot(-4)^{n-1}=-22\cdot(-4)^n\cdot(-4)^{-1}=-22\cdot(-4)^n\cdot\left(-\dfrac{1}{4}\right)=5.5(-4)^n

7 0
3 years ago
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Is this table proportional?
seraphim [82]

Answer: y=3x

Step-by-step explanation:

2x3=6

3x3=9

5x5=15

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3 years ago
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A boat is heading towards a lighthouse, whose beacon-light is 136 feet above the
alexandr1967 [171]

The distance between the points A to B is 899.9 feet. After rounding off the  nearest integer we get 900 feet as the final answer.

Given we know that CD is perpendicular to AD.

The distance between CD is 139 feet.

As from points A the boat's crew measure the angle of elevation to the beacon as 6°

therefore, m∠A = 6°

Another time the angle of elevation is measured from point B which is 19°.

therefore, m∠DBC = 19°

tan 19° = CD/BD

BD = CD/tan19°

BD = 136/tan 19°

now for tan 6° = CD/AD (tangent is opposite over adjacent)

AD = CD/tan 6°

AD = 136/tan 6°

AB = AD ₋ BD

AB = 136/tan 6° ₋ 136/tan 19°

AB = 1295.2 ₋ 395.3

AB = 900 feet

hence the distance from point A to B is 900 feet.

Learn more about Heights and distances here:

brainly.com/question/2004882

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5 0
2 years ago
If the perimeter of the square is 36 cm. What is the area of the non-shaded region?
Marysya12 [62]

Answer:

either 20.25π or around 63.6173

Step-by-step explanation:

So first you find the side length of the square which is the perimeter/4 so in this case, 9. 9/2 will give you the radius of the circle and just solve for the area using the formula a=πr^2

7 0
3 years ago
Which of the following is not a Pythagorean triple?
Vinil7 [7]

Answer: D,(11,61,62)

Step-by-step explanation:28,45,53

53²=28²+45²

2,809= 784+2,025

         = 2,809

53²=2,809

(28,45,53) is a Pythagorean triple

16,63,65

65²=16²+63²

4225=256+3969

        = 4225

65²=4225

(16,63,65) is a Pythagorean triple

13,84,85

85²=13²+84²

7225=169+7056

        =7225

85²=7225

(13,84,85) is a Pythagorean triple

11,61,62

62²=11²+61²

3,844=121+3,721

        =3,842

62²=3,844

(11,61,62) is not a Pythagorean triple

4 0
3 years ago
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