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irina1246 [14]
3 years ago
10

Answer???????? with explanations, para lam ko di mga hula

Mathematics
1 answer:
Arisa [49]3 years ago
7 0

Answer:

144

Step-by-step explanation:

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u><u> </u>

  • Least Common denominator .

<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

We have ,

> 1/8 , 2/9 , 3/12 .

The denominator of the fractions are ,

> 8 , 9 , 12

The LCM of 8,9,12 will be ,

2 |<u> </u><u>8</u><u> </u><u>,</u><u> </u><u>9</u><u> </u><u>,</u><u> </u><u>1</u><u>2</u><u> </u>

2 <u>| 4 , 9 , 6</u>

2 |<u> </u><u>2</u><u> </u><u>,</u><u> </u><u>9</u><u> </u><u>,</u><u> </u><u>3 </u>

3 |<u> </u><u>2</u><u> </u><u>,</u><u> </u><u>3 </u><u>,</u><u> </u><u>1</u><u> </u>

Therefore , LCM will be ,

> 2⁴ × 3² = 16 × 9 = 144

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Naddik [55]

Recall the double angle identity:

\cos2x=\cos^2x-\sin^2x=2\cos^2x-1

Then

\cos2x=2\left(-\dfrac67\right)^2-1=\dfrac{23}{49}

6 0
3 years ago
A corner construction lot has the shape of a right triangle. if the two sides perpendicular to each other are 39 m long and 46.3
DIA [1.3K]
Use phytagorean theorem to solve the problem
c² = a² + b²
with c as hypotenuse, a and b are the two sides which are perpendicular to each other.

Plug the numbers into the formula
c² = a² + b²
c² = (46.3)² + 39²
c² = 2,143.69 + 1,521
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to the nearest hundredth
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4 years ago
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vazorg [7]
If you find the volume of each figure separately then add them together, then you'd get your answer.

The formula for volume is V=Base Area*Height, V=BH
So the volume of the smaller cube is 210.
This is because the base area is 15*14. Multiply this by the height, 16, then you get 210.

The volume of the second cube is 25,100. This is because 15+16 is 31. 31*27*30 is 25,100.

If you add both of these volumes together, you're final answer is 25,310 units cubed.

Hope this helped :)
4 0
3 years ago
Find the image of the figure below for a dilation with the given center and scale factor r. Draw and label the image.
klasskru [66]
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If the legs of a right triangle are 6 cm and 5 cm find the area of the triangle​
Ilia_Sergeevich [38]

Answer: 15 cm²

Step-by-step explanation: To find the area of a triangle, start with the formula for the area of a triangle which is shown below.

Area = \frac{1}{2}bh

In this triangle, the base is 6 centimeters and the height is 5 centimeters. Now, plugging into the formula, we have (\frac{1}{2})(6 cm)(5 cm).

Now, it doesn't matter which order we multiply.

So we can begin by multiplying 1/2 times 6 cm and notice that the 2 in 1/2 and the 6 cross cancel to 1 and 3. So we're left with 3 cm.

Now, (3 cm)(5cm) is 15 cm².

So the area of the triangle is 15 cm².

6 0
3 years ago
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