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Artyom0805 [142]
2 years ago
15

Help please, can someone answer.

Mathematics
1 answer:
Zanzabum2 years ago
7 0

Answer:

QA) C = 31.4 cm, A = 78.5 cm^2

QB) 36 cm

Step-by-step explanation:

Question A

Circumference formula: 2πr

2π(5) = 31.4 cm

Area formula: πr^2

π(5)^2 = π(25) = 78.5 cm^2

Question B

If you extend the line of the shape to create a quadrilateral and a triangle, you can use the pythagorean theorem to figure out the last length.

9 - 6 = 3

10 - 6 = 4

The lengths of side a and b are 3 and 4, we need to find the length of the hypotenuse

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

5 = c

Now we can combine this number with the rest of the given lengths

10 + 9 + 6 + 6 + 5 = 36 cm

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Answer:

Approximately 50 pounds less carbon (in CO₂) will be produced by the second auto on this trip.

Step-by-step explanation:

We have been given that the combustion of one gallon of automobile fuel produces about 5 pounds of carbon (in CO₂). Two autos are making a trip of 600 miles.

Let us find amount of fuel used by autos by dividing the total distance by their mileage.

\text{Fuel used by 1st auto}=\frac{\text{ 600 miles}}{\frac{\text{ 20 miles}}{\text{gallon}}}

\text{Fuel used by 1st auto}=\frac{\text{ 600 miles}}{\text{ 20 miles}}\times \text{gallon}

\text{Fuel used by 1st auto}=30 \text{ gallons}

\text{Fuel used by 2nd auto}=\frac{\text{ 600 miles}}{\frac{\text{ 30 miles}}{\text{gallon}}}

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\text{Fuel used by 2nd auto}=20 \text{ gallons}

Let us find the difference of fuel used by both autos.

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Since one gallon of automobile fuel produces about 5 pounds of carbon, so 10 gallons of fuel will produces 5\times 10=50 pounds of carbon.

Since 2nd auto used 10 gallons less than 1st auto, therefore, 2nd auto will produce 50 pounds less carbon than 1st auto.

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If a quadrilateral is a parallelogram, then its diagonals bisect each other. If a quadrilateral is a parallelogram, then consecutive angles are supplementary. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

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3 years ago
If f(x)=2x²+5√(x-2) , complete the following statement: f(3)=___
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