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2 years ago

Which is the least common multiple of 4 and 12

1 answer:

3 0

The answer is 12. My explanations is that LCM is the smallest number that both numbers can fit into. 12 fits into 12 once, and 4 fits into 12 3 times, so 12 is the answer.

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A square has sides of length s. A rectangle is 6 inches shorter and 1 inch longer than the square. Which of the following expres

Semmy [17]

Answer: Area of rectangle can be given by expressions:

$(s-6)(s+1)\text {and }s^2-5s-6$

Step-by-step explanation:

Given : A square has sides of length s.

According to the question,

Dimensions of new rectangles=(s-6)×(s+1)

Thus, Area of rectangle= (s-6)×(s+1)

$=s^2-6s+s-6\\\Rightarrow\ s^2-5s-6$

Thus , area of rectangle can be given by expressions:

$(s-6)(s+1)\text {and }s^2-5s-6$

5 0

3 years ago

Read 2 more answers

How long can the run be made?

defon

Answer:

$L=15\ m$

Step-by-step explanation:

we know that

The perimeter of rectangle is equal to

$P=2L+2W$

In this problem we have

$P=42\ m$

$W=6\ m$

substitute in the formula and solve for L

$42=2L+2(6)$

simplify

$21=L+(6)$

$L=21-6=15\ m$

6 0

3 years ago

REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Mandarinka [93]

Answer:

-83 1/3 > -83.518

Step-by-step explanation:

-8 1/3 = -8.333333...

5 0

3 years ago

Read 2 more answers

An automobile uses 17 gal of fuel to go to 590mi. How many gallons are required to travel 870mi? (Round your answer to one decim

Valentin [98]

Answer:

$Gallons = 27.95$

Step-by-step explanation:

Given

$Gallons : Miles = 17:590$

Required

Determine the number of gallon for 870 miles

To do this, we simply substitute 870 for miles in the ratio above

So, we have:

$Gallons : 870= 17:590$

Convert to fraction

$\frac{Gallons}{870} = \frac{17}{590}$

Multiply through by 870

$870 * \frac{Gallons}{870} = \frac{17}{590}*870$

$Gallons = \frac{17}{590}*970$

$Gallons = \frac{17*970}{590}$

$Gallons = \frac{16490}{590}$

$Gallons = 27.95$

4 0

3 years ago

Solve for x<br> 90°<br> \12x-22)<br> 170°

Y_Kistochka [10]

Answer:

x = 6

Step-by-step explanation:

Using this theorem to get the other angles of the triangle.

Angle at the vertex is equal to half of the angle at the intercepted arc

For the arc with angle 170degrees

Angle at the vertex = 1/2 * 170

Angle at the vertex = 85 degrees

For the arc with angle 90degrees

Angle at the vertex = 1/2 * 90

Angle at the vertex = 45 degrees

Taking the sum of the 3 angles and equating to 180

85 + 45 + 12x - 22 = 180

130-22+12x = 180

12x = 180 - 108

12x = 72

x = 72/12

x = 6

Hence the value of x is 6

5 0

3 years ago