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2 years ago

Triangle LMN is dilated by a scale factor of 2/3 to form triangle L’M’N. Side NL measures 48. What is the measure of side N’L’?

Mathematics

1 answer:

nignag [31]2 years ago

8 0

48 x 2/3 = 32. For dilation just multiply each side by the dilation factor.

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What are the 6 trigonometry functions

EastWind [94]

Sine, Cosine, Tangent, Cosecant (opposite of Sine), Secant (opposite of Cosine), and Cotangent (opposite of Tangent)

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3 years ago

Find the size of angle YZX

Tasya [4]

Answer:

21.001 cm

Step-by-step explanation:

The diagram shows right triangle with

Hypotenuse ZY = 22.3 cm

Leg XY = 7.5 cm

By the Pythagorean theorem,

$XY^2+XZ^2=ZY^2\\ \\7.5^2+XZ^2=22.3^2\\ \\XZ^2=22.3^2-7.5^2\\ \\XZ^2=(22.3-7.5)(22.3+7.5)\\ \\XZ^2=14.8\cdot 29.8\\ \\XZ^2=441.04\\ \\XZ=\sqrt{441.04}\approx 21.001\ cm$

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2 years ago

Cora makes a scarf with cloth rectangles and triangles. For every 5 pieces of cloth, 2 are rectangles. She needs 15 pieces of cl

PtichkaEL [24]

Answer: There are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.

Explanation:

Since we have given that

For every 5 pieces of cloth, 2 are rectangles

So, remaining piece will be of triangle so,

$5-2=3$

3 are triangles.

Ratio of rectangles to triangles is 2:3.

Now, she needs 15 pieces of cloth to complete her scarf,

So, Number of rectangles is needed is given by

$\frac{2}{5}\times 15\\\\=2\times 3\\\\=6$

Number of triangles is needed is given by

$\frac{3}{5}\times 15\\\\=3\times 3\\\\=9$

Hence, there are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.

6 0

3 years ago

Leon bought 50 backpacks at a sporting store. 20% of the backpacks were pink and 1/2 of the backpacks were blue. How many of the

My name is Ann [436]

20% of 50 is 10

Half of 50 is 25

25 + 10 = 35

50 -35 = 15

15 of the backpacks were neither pink or blue

Hope this helps :)

5 0

2 years ago

One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, how man

Yanka [14]

Answer: 144 minutes

Step-by-step explanation:

Based on the information that has been given in the question, the minutes that the slower pipe alone can use in filling the tank can be denoted by y minutes.

Therefore, the faster pipe will fill it in 1/3 × x = x/3 minutes.

Therefore,

1/x + 3/x = 1/36

4/x = 1/36

x = 36 × 4

x = 144

The number of minutes taken by the slower pipe will be 144 minutes.

5 0

2 years ago