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3 years ago

What is the area of the triangle show above

Mathematics

1 answer:

ehidna [41]3 years ago

4 0

Answer:

A = 64 units²

Step-by-step explanation:

A = 1/2bh

Step 1: Define

A = ?

b = 16 units

h = 8 units

Step 2: Substitute and Evaluate

A = 1/2(16 units)(8 units)

A = (8 units)(8 units)

A = 64 units²

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Angle M has a measure of 36° and Angle N has a measure of 24°. Are these two angles congruent?

Verdich [7]

No, because congruent angles have the same measure

8 0

2 years ago

Integrate sin²2x cos²2xdx

Masteriza [31]

$\sin^2x=\dfrac{1-\cos2x}2$
$\cos^2x=\dfrac{1+\cos2x}2$

From the identities above, you have

$\sin^22x\cos^22x=\dfrac{(1-\cos4x)(1+\cos4x)}4=\dfrac{1-\cos^24x}4$

Applying once more, you have

$\dfrac{1-\cos^24x}4=\dfrac{1-\dfrac{1+\cos8x}2}4=\dfrac{1-\cos8x}8$

So,

$\displaystyle\int\sin^22x\cos^22x\,\mathrm dx=\frac18\int(1-\cos8x)\,\mathrm dx=\frac x8-\frac1{64}\sin8x+C$

3 0

2 years ago

For a special sale, a mens tie buyer plans to promote a $39.99 tie. Consequently, the buyer purchases 450 ties and wants to achi

zlopas [31]

Answer:

The average cost of each tie is $56.350

Step-by-step explanation:

We are given that a men tie buyer plans to promote a $39.99 tie. Consequently, the buyer purchases 450 ties

So, Cost of 450 ties = $450 \times 39.99=17995.5$

An order for 100 ties that cost $20.00 each

Cost of 100 ties = $100 \times 20 = 2000$

Total cost price = 17995.5+2000 = 19995.5

Let the selling price of 1 tie be x

Total ties = 450+100 = 550

So, SP of 550 ties =550x

Now we are given that markup is 55%

So, Profit % = 55%

So, $CP = \frac{SP \times 100}{100+P\%}$

Substitute the values

$19995.5 = \frac{550x \times 100}{100+55}$

$19995.5 = \frac{550x \times 100}{155}$

$19995.5 \times 155 = 55000x$

$\frac{19995.5 \times 155}{55000}=x$

$56.350=x$

Hence The average cost of each tie is $56.350

7 0

2 years ago

Which of the following best describes the graph below?

ValentinkaMS [17]

Your picture is black ?

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2 years ago

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What is the area? Please help me.

svlad2 [7]

Answer:

106 square meters.

Step-by-step explanation:

First find the whole orange rectangular figure and then remove a part of it. The original orange figure appears to be 10 x 12 = 120 m. Next we would need to find the amount that is removed. To find this we need to find the length and width of the thing. The length is 7 and the width looks to be 10 - 4 - 4 = 2. 7 x 2 = 14. Subtract 14 from 120 to get 106 square meters.

4 0

2 years ago

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