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Makovka662 [10]
3 years ago
7

1) A factory produces 12 cars in 20 days how many days will it take to make 21 cars at this rate?

Mathematics
1 answer:
sineoko [7]3 years ago
5 0
1) The factory will produce 3/5th or 0.6 of a car per day (12 cars / 20 days = 0.6 car per day). The equation for the answer is: 21 / 0.6 = X. The answer is 35 Days.

2) You divide 45 by 3. You do this by multiplying 45 by 1/3, which is 15. You add 15 to 45, and you get a speed of 60 MPH. 
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I need to find the area of the shaded region
spin [16.1K]
Well first find the area of the semi-circle. 

If the area of a cricle is equal to pi*radius^2 , then you can just find that and divide by 2.

So, A = pi*2^2. = 4pi

We know that the radius is 2 because the length of the side of the rectangle is 4, meaning that the diameter of the semi-circle is 4, and so the radius is 2 as it is half of the diameter. 

We can easily calculate the area of the rectangle, which is
 Length * width = 6*4 = 24.

Next we divide 4pi by 2 in order to get the area of the semi-circle, giving us an area of 2pi

We can just subtract 2pi from 24 and get the area of the shaded region.

Area of the shaded region (answer): 17.7
4 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs.
erastova [34]

Answer:

√8 ==> 2 units, 2 units

√7 ==> √5 units, √2 units

√5 ==> 1 unit, 2 units

3 ==> >2 units, √5 units

Step-by-step explanation:

To determine which pair of legs that matches a hypotenuse length to create a right triangle, recall the Pythagorean theorem, which holds that, for a right angle triangle, the square of the hypotenuse (c²) = the sum of the square of each leg length (a² + b²)

Using c² = a² + b², let's find the hypotenuse length for each given pairs of leg.

=>√5 units, √2 units

c² = (√5)² + (√2)²

c² = 5 + 2 = 7

c = √7

The hypothenuse length that matches √5 units, √2 units is √7

=>√3 units, 4 units

c² = (√3)² + (4)²

c² = 3 + 16 = 19

c = √19

This given pair of legs doesn't match any given hypotenuse length

=>2 units, √5 units

c² = (2)² + (√5)²

c² = 4 + 5 = 9

c = √9 = 3

legs 2 units, and √5 units matche hypotenuse length of 3

=>2 units, 2 units

c² = 2² + 2² = 4 + 4

c² = 8

c = √8

Legs 2 units, and 2 units matche hypotenuse length of √8

=> 1 unit, 2 units

c² = 1² + 2² = 1 + 4

c² = 5

c = √5

Leg lengths, 1 unit and 2 units match the hypotenuse length, √5

3 0
3 years ago
If an architect wants to draw a plan for a house that is 75 ft by 80 ft, and his paper is 10 in. by 17 in., what is the best sca
drek231 [11]
The best scale factor to make use of every inch of the paper would be that 1 inch represents 7.5 feet.
7 0
2 years ago
2x+ 20 + 3x +40 =<br> 60 + 5X
umka21 [38]
First answer: 160
Second answer: 300
6 0
2 years ago
What is 30% off of 25??
Leto [7]

Answer:

7.5 = 8

Step-by-step explanation:

Step 1:

30/100=0.3

Step 2:

0.3 x 25 = 7.5

Round: 8

7 0
3 years ago
Read 2 more answers
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