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3 years ago

HELP WITH 20 PLEASE!

Mathematics

1 answer:

WINSTONCH [101]3 years ago

6 0

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Question from Amanda, a parent:

what is the area of a circle with a circumference of 3000 metres?

Amanda,

The area of a circle is given by the formula A = π r2, where A is the area and r is the radius. The circumference of a circle is C = 2 π r.

If we "solve for r" in the second equation, we have r = C / (2 π ). Now we use this to replace r in the first equation: A = π [ C / (2 π ) ]2.

When we simplify this, we get A = C2 / (4 π).

Now you can put your value of C into this equation and find A. Remember, π is about 3.1416.

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Is it possible to construct Triangle ABC with angles 40, 60 and 90 degrees?

kotykmax [81]

Answer:

No, it's not possible

Step-by-step explanation:

A triangle must equal 180 degrees. 40+60+90 is 190, which is over 180.

5 0

2 years ago

What is 44/6 as a mixed number?

sammy [17]

It would be 7 on the side and then 2/6

7 0

3 years ago

A car traveled 300 meters in 30 seconds. A truck traveled 600 meters in 60 seconds. Which car was faster ?

rewona [7]

Multiply the car by 2: 300 meters x 2 = 600 meters

30 seconds x 2 = 60 seconds.

The car also traveled 600 meters in 60 seconds, so the speed of the vehicles are the same.

No vehicle was faster.

8 0

3 years ago

Which are the solutions to the quadratic equation x^2=9x+6

AlekseyPX

I will use a quadratic formula:

$x^2=9x+6\ \ \ \ |-9x-6\\\\x^2-9x-6=0\\\\a=1;\ b=-9;\ c=-6\\\\b^2-4ac=(-9)^2-4\cdot1\cdot(-6)=81+24=105\\\\\sqrt{b^2-4ac}=\sqrt{105}\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a};\ x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_1=\dfrac{-(-9)-\sqrt{105}}{2\cdot1}=\dfrac{9-\sqrt{105}}{2}\\\\x_2=\dfrac{-(-9)+\sqrt{105}}{2\cdot1}=\dfrac{9+\sqrt{105}}{2}$

5 0

3 years ago

A chef is going to use a mixture of two brands of Italian dressing the first brand contains contains 7% vinegar and the second b

Cerrena [4.2K]

Answer:

176 of 12% vinegar

44 of 7% vinegar

Step-by-step explanation:

Percentage vinegar required = 11%

Volume = 220 mL

First brand % = 7%

Second brand % = 12%

Let p = volume of 12% vinegar material

Mixture :

0.12p + 0.07(220 - p) = 220 * 0.11

0.12p + 15.4 - 0.07p = 24.2

0.05p = 8.8

p = 8.8 / 0.05

p = 176

176 of 12% vinegar and

220 - 176 = 44

44 of 7% vinegar

4 0

2 years ago