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Alchen [17]
3 years ago
11

49 3/2 simplify with rational exponents.

Mathematics
1 answer:
sergey [27]3 years ago
4 0

Answer:

There. You didn't ask for and explanation!

Step-by-step explanation:

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A parallelogram has adjacent sides 25 cm and 6 cm . if one diagonal is 29 cm then find area , height corresponding to the sides
baherus [9]

Answer:

height = 4.8 cm

area = 120 cm²

perimeter = 62 cm

Step-by-step explanation:

<u>**Please refer to the attached diagram when following the step-by-step**</u>

First, find m∠C (green angle on diagram) by using the cosine rule:

c^2=a^2+b^2-2abcos(C)

\implies 29^2=6^2+25^2-2(6)(25)cos(C)

\implies cos(C)= \frac{29^2-6^2-25^2}{-2(6)(25)}

\implies cos(C)= \frac{180}{-300}=-\frac{3}{5}

\implies cos(C)=126.8698976... \textdegree

Therefore, the interior angle of the right triangle at point C (blue angle on diagram) is:

180-cos^{-1}(-\frac{3}{5})=53.13010235... \textdegree

Now use the Sine Rule (for finding sides) to determine height (h):

\frac{6}{sin(90)}=\frac{h}{sin(53.13..)}

\implies \frac{6}{1}=\frac{h}{\frac{4}{5}}

\implies 6 \times \frac{4}{5}=h

\implies h=\frac{24}{5}=4.8

So the height = 4.8 cm

Now we have determined the height, we can calculate the area by using the area of a parallelogram formula:

Area of a parallelogram = base x perpendicular height

⇒ area = 25 x 4.8 = 120 cm²

Parallelogram is a four-sided shape made up of two pairs of straight parallel lines that are equal in length.

Perimeter = sum of the sides

⇒ perimeter = 6 + 6 + 25 + 25 = 62 cm

7 0
3 years ago
3x-(2x+4x-6) is equivalent to?
Agata [3.3K]

If there is suppose to be a negative sign.

3x -1(2x + 4x - 6)

Distribute the -1 to all terms within the parenthesis

-1(2x + 4x - 6) = -2x - 4x + 6

3x - 2x - 4x + 6

Simplify. Combine like terms

(3x - 2x - 4x) + 6

-3x + 6

-3x + 6 is your answer

hope this helps

5 0
3 years ago
You speak to a business owner that is taking in almost $2,000 in revenue each month. The owner still says that they're
choli [55]

Answer:

The reason why this may be happening is because the expenses may be higher than the amount of revenue that the business is making, the cost of rent, paying the employees and running the business may be higher than the revenue that is being made. The inflows may be higher than the outflows, in which case the profit is lower than the loss and may be the reason why the owner is having trouble keeping the business running.

4 0
2 years ago
Please help me figure this out
grin007 [14]
I believe the answer is B
6 0
3 years ago
Read 2 more answers
Answer please !! Due in 45 minutes m
weqwewe [10]

Answer:

(-3,3)

Step-by-step explanation:

Using elimination:

Multiply the first equation by 8 and the second by 5 which equals

40x+56y=48

-40-60y=-60

Now you add them together

40x+(-40x)=0 so that crosses out

56y+(-60y)= -4y

48+(-60)=-12

You now have -4y=-12

Divide by -4

y=3

Now plug in y to any of the equations

5x+7(3)=6

5x+21=6

Subtract 21 from both sides

5x=-15

Divide by 5

x=-3

Your final solution is (-3,3)

5 0
3 years ago
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