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4 years ago

Calculate the shaded area. Give your answer to 3 significant figures.

Mathematics

1 answer:

jasenka [17]4 years ago

6 0

$A=A_{big}-A_{small}$
$A=\pi R^2-\pi r^2$
$A=\pi(R^2-r^2)$
$A=\pi(6.5^2-2.3^2)$
$A=\pi(42.25-5.29)$
$A=\pi(36.96)\approx116cm^2$

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the price of a 14 oz box of crackers is $2.94. the price of a 20 oz box is $3.60. what is the difference in price per ounce ?

solong [7]

Answer:

The difference in price per ounce of the boxes is $0.03 or 3 cents.

Step-by-step explanation:

Divide each dollar amount by the ounces. The answer to $2.94 divided by 14 is 21 cents. $3.60 divided by 20 is 18 cents. Subtract 18 cents from 21 cents to get 3 cents.

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4 years ago

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15/40 in lowest term I need it so bad now

Vesnalui [34]

In order to reduce ANY fraction to lowest terms, find any common factors
of the numerator and denominator, and divide them both by it. If they still
have a common factor, then divide them by it again. Eventually, they won't
have any common factor except ' 1 ', and then you'll know that the fraction is
in lowest terms.

Do 15 and 40 have any common factors ?
Let's see . . .

The factors of 15 are 1, 3, 5, and 15 .
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40 .

Ah hah ! Do you see that ' 5 ' on both lists ? That's a common factor.

So 15/40 is NOT in lowest terms.

Divide the numerator and denominator both by 5 :

15 / 40 = 3 / 8

3 and 8 don't have any common factor except ' 1 '.
So 3/8 is the same number as 15/40, but in lowest terms.

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3 years ago

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Does anyone know how to Graph f(x)=51(2)^x

3241004551 [841]

This is an exponential function.

If x = 0, 2^x = 2^0 = 1. The beginning value of 2^x is 1 and the beginning value of 51*2^x is 51.

Make a table and graph the points:

x y=51*2^x point (x,y)
-- --------------- ---------------
0 51 (0,51)
2 51*2^2 = 51(4) = 204 (2,204) and so on.

The graph shows up in both Quadrants I and II. Its y-intercept is (0,51). Its slope is always positive.

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3 years ago

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PLEASE HELP! In a word processing document or on a separate piece of paper, use the guide to construct a two column proof provin

hichkok12 [17]

PLEASE HELP! In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that triangle RST is congruent to triangle RSQ given that RS ⊥ ST, RS ⊥ SQ, and ∠STR ≅ ∠SQR. Submit the entire proof to your instructor.

Given:
RS ⊥ ST
RS ⊥ SQ
∠STR ≅ ∠SQR

Prove:
△RST ≅ △RSQ

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3 years ago

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In high school, some students have been confused to believe that 22/7 is already the actual value of π or an acceptable approxim

jarptica [38.1K]

Answer:

Since it has smaller absolute and relative errors, 355/113 is a better aproximation for $\pi$ than 22/7

Step-by-step explanation:

The formula for the absolute error is:

Absolute error = |Actual Value - Measured Value|

The formula for the relative error is:

Relative error = |Absolute error/Actual value|

I am going to consider the actual value of $\pi$ as 3.14159265359.

In the case of 22/7:

22/7 = 3.14285714286.

Absolute error = |3.14159265359 - 3.14285714286| = 0.00126448927

Relative error = 0.00126448927/3.14159265359 = 0.00040249943 = 0.04%

In the case of 355/113

355/113 = 3.14159292035

Absolute error = |3.14159265359 - 3.14159292035| = 0.00000026676

Relative error = 0.00000026676/3.14159265359 = 0.000000085 = 0.0000085%

Since it has smaller absolute and relative errors, 355/113 is a better aproximation for $\pi$ than 22/7

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3 years ago