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3 years ago

What is the least common denominator for adding the fractions 4/15, 1/12, and 3/8

2 answers:

5 0

I think you want the least common multipule (exg LCM of 2,3,4 is 12)

so we find the factors and include all of them so like this

15=3 times 5
12=2 times 2 times 3
8=2 times 2 times 2

so to include all of them we include 3 2's, 1 3 and 1 5 or 2 times 2 times 2 times 3 times 5 or 8 times 15 or 4 times 30 or 120

the LCM is 120

so 4/15=32/120
1/12=10/120
3/8=45/120

add 32/120+10/120+45/120=(32+10+45)/120=87/120

sladkih [1.3K]3 years ago

3 0

The least common denominator would be the least common multiple (LCM) of the denominators, 15 12 and 8.

To find the LCM, multiply two of the numbers together and test to see if the third one divides evenly into it.

15 x 8 = 120

120 ÷ 12 = 10

Because all three numbers go evenly into 120 (and 120 is the smallest number for which that is true), the least common denominator would be 120.

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Alexxandr [17]

Answer:

the answer is two in a half it took me 5 hrs to figure this out

Step-by-step explanation:

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3 years ago

What is the value of x? Enter your answer as a decimal to the nearest tenth in the box. ft Right triangle A B C with right angle

Natalka [10]

Answer:

x = 10.9

Step-by-step explanation:

Since the triangle is right, use the tangent ratio to find the value of x

tan36° = $\frac{opposite}{adjacent}$ = $\frac{BC}{AB}$ = $\frac{x}{15}$

Multiply both sides by 15

15 × tan36° = x

⇒ x = 10.9 ( to nearest tenth )

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4 years ago

A farmer needs to put in a fence in their rectangular field. If we look at the field from above, the cost of the west and east s

Liono4ka [1.6K]

Answer:

north and south sides are 38 8/9 ft long
east and west sides are 17.5 ft long

Step-by-step explanation:

Short answer: area is maximized when half the cost is spent in each of the orthogonal directions. This means the east and west sides will total $350 at $20 per foot, so will be 17.5 feet. The north and south sides will total $350 at $9 per foot, so will be 38 8/9 feet.

The dimensions that maximize the area are 17.5 ft in the north-south direction by 38 8/9 ft in the east-west direction.

Long answer: If x represents the length of the north and south sides, and y represents the length of the east and west sides, then the total cost is ...

10y +10y +2x +7x = 700

9x +20y = 700

y = (700 -9x)/20

We want to maximize the area:

A = xy = x(700 -9x)/20

We can do this by differentiating and setting the derivative to zero:

dA/dx = 700/20 -9x/10 = 0

350 -9x = 0 . . . . multiply by 10

x = 350/9 = 38 8/9

y = (700 -9(350/9))/20 = 350/20 = 17.5

The north and south sides are 38 8/9 ft long; the east and west sides are 17.5 ft long to maximize the area for the given cost.

6 0

3 years ago

Calculate the surface area of the closed half-cylinder. all measurements are in cm

AVprozaik [17]

Answer:

2656.31 $cm^{2}$

Step-by-step explanation:

To calculate the surface area, we need to find the area of all the faces, and add them together.

The faces of the cylinder are: the rectangular base, the curved top, and the two semicircles on the side.

Rectangular base:

A = length x width

A = 29.3 x 16.2

A = 474.66

Two semicircles:

A = $\pi$ x $radius^{2}$ (I'm using the formula for a circle, because the two semicircles are identical, so together they form a circle)

radius = 29.3/2 = 14.65

A = $\pi$ x $14.65^{2}$

A = 674.256 (rounded to 3 decimal places)

Curved top:

The curved top, when flattened out, becomes a rectangle with a length of 16.2. The width is equal to half the circumference of the circle formed by the two semicircles.

To find the width, use the circumference (C) formula.

C = $\pi$ x diameter

diameter = 29.3

C = $\pi$ x 29.3

C = 93.049 (rounded to 3 DP)

Area (of curved top) = length x width

A = 16.2 x 93.049

A = 1507.394 (rounded to 3 DP)

Surface Area

SA = 474.66 + 674.256 + 1507.394

SA = 2656.31 $cm^{2}$

8 0

3 years ago

I need help!!!!!!!! 2c-2.6=1.8

vodka [1.7K]

Answer:

thats right

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers