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Ludmilka [50]
3 years ago
7

Evaluate 12x-(4y+7z) for x=9 y= 4 and z = 2

Mathematics
1 answer:
Brums [2.3K]3 years ago
6 0

The answer to "12x-(4y+7z) for x=9 y= 4 and z = 2" is 78.

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The sector of a circle is shown below. It has a radius of 10 centimeters and a central
disa [49]

Answer:

1) 8.9 cm

2) 44.5 cm^2

Step-by-step explanation:

a) we want to calculate the length of the arc

Mathematically, we use the formula for the length of an arc

That will be ;

theta/360 * 2 * pi * r

theta = central angle = 51

r is radius = 10 cm

so we have ;

51/360 * 2 * 22/7 * 10 = 8.9 cm

2) The area of the sector is;

theta/360 * pi * r^2

51/360 * 22/7 * 10^2

= 44.5 cm^2

5 0
3 years ago
A force of 4 pound acts in the direction of 48degree to the horizontal. The force moves an object along a straight line from the
Dafna11 [192]

Answer:

<u>Work Done = 27.66 Joules</u>

Step-by-step explanation:

The work done is:

W=F*d*Cos \theta

Where

F is the fore

d is the distance moved

\theta  is the angle

The force is "4"

The distance is the distance from (1,7) to (8,10)

The distance is the square root of change in y coordinates, squared and sum of change in x coordinates, squared. Hence, distance is:

\sqrt{(10-7)^2+(8-1)^2}\\=\sqrt{3^2+7^2}\\\sqrt{58}

The angle is gotten by the formula:

Cos\phi = \frac{Force in x direction}{Distance}\\Cos\phi = \frac{8-1}{\sqrt{58}}\\Cos\phi=\frac{7}{\sqrt{58}}\\\phi = Cos^{-1}\frac{7}{\sqrt{58}}\\\phi = 23.21

So, now:

\theta = 48 - 23.21 = 24.79

Work Done = F*d * Cos\theta = 4 * \sqrt{58} * Cos(24.79)

<u>Work Done = 27.66 Joules</u>

6 0
2 years ago
Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours. When Maya biked for 3 hours and then ran for 1 hour and
solmaris [256]

Answer: 8

Step-by-step explanation: Speed is distance/time

18/3 = 6 miles per hour running

18/2 = 9 miles per hour biking

3 hour bike = 27 miles

1.50 hour run (0.50 because 30 minutes is half of an hour) = 9 miles

27 + 9/3 + 1.50 = 36/4.5 or 8

4 0
3 years ago
Write the number that makes each number sentence true
andrey2020 [161]

Answer: ummmmmmm

Step-by-step explanation: teeeeeheeee

idk

GIBE MEH A TANKS

6 0
3 years ago
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Which of the following demonstrates the Distributive Property?
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2(3a+4) 6a+8=6a+8.....
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3 years ago
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