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polet [3.4K]
3 years ago
7

A sprinkler rotates 45 degrees every 15 seconds. How long does it take the sprinkler to rotate 360

Mathematics
1 answer:
Marina86 [1]3 years ago
4 0
120 seconds 
360 divided by 45 is 8
8 times 15= 120 

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The product of two positive consecutive numbers is 42. What is the smaller number?
Temka [501]
X = first integer, y = second integer (right after x)

since y is right after x, we can say
y = x+1

If the product of the two integers (x and y) is 42, then
x*y = 42
x*( y ) = 42
x*( x+1 ) = 42 ... y is replaced with x+1
x*x + x*1 = 42
x^2 + x = 42
x^2 + x - 42 = 0
(x + 7)(x - 6) = 0 ... factor
x + 7 = 0 or x - 6 = 0
x = -7 or x = 6

The result must be positive as the problem states it, so we toss out x = -7
The only answer is x = 6

If x = 6, then
y = x+1
y = 6+1
y = 7

The two consecutive numbers are 6 and 7

The final answer is 6

Sure enough, 6*7 = 42 checks out
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3 years ago
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8 0
3 years ago
Help me I need help fast it is due soon!
Arte-miy333 [17]

Answer:

400 square meters

Step-by-step explanation:

We can first solve this problem with each unit representing 1 centimeter, and then scale up at the very end. The shape that we have a parallelogram. The base is 8 cm, and the height is 2 cm. The formula for the area of a parallelogram is just bh, so the area of the parallelogram is 16 square centimeters. However, now we scale up. Since each centimeter correlates to 5 meters, each little box will correlate to 25 square meters. Therefore, 16 \cdot 25 = \boxed{400} square meters is our answer

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If you rotate the triangle so that the 6 is on the bottom, the two sides are both 6.2.

Because the two sides are equal the two angles at the bottom would also be equal. One is given as 61 degrees, so the other bottom angle is also 61 degrees.

The three inside angles of a triangle need to equal 180, so X would equal 180 minus the two bottom angles.

X = 180 - 61 - 61 = 58 degrees.

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3 years ago
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angle 5 and angle 4 are exterior angles

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