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fenix001 [56]
3 years ago
15

The hypotnuse of a 45-45-90 triangle has a length of 10 units whats the length of one of its sides

Mathematics
2 answers:
lora16 [44]3 years ago
6 0
Answer: 7.07 units each
Mama L [17]3 years ago
5 0

Answer:

6 or 8

Step-by-step explanation:

Plug into Pythagorean theorem

6² + 8² = 10²

36 + 64 = 100

100= 100

Therefore, leg (a) is 6 and leg (b) is 8

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Helga [31]

The measure of angle J is 19.8°, and the correct option is D.

<h3>What is the formula of cosine?</h3>

The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.

The following formula is used to find the angle j is;

\rm j^2 = h^2 + i^2 -2hicosC

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Substitute all the values in the formula;

\rm j^2 = h^2 + i^2 -2hicosJ\\\\(7)^2=(12)^2+(17)^2-2 \times 12 \times 17 cosJ\\\\49=144+289-408cosJ\\\\144+289 -49 =408cosJ\\\\384 =408cosJ\\\\cosJ=\dfrac{384}{408}\\\\cosj = 0.94\\\\J =cos^{-1}(0.94)\\\\J=19.8

Hence,  the measure of angle J is 19.8°, and the correct option is D.

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2 years ago
Which line plot displays a data set with an outlier?
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The bottom left answer choice displays an outlier

Step-by-step explanation:

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3 years ago
A micro-photograph of a human hair shows the hair magnified 150 times. If the hair is
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Answer:

<em>The actual width of the hair is 20 / 150 = 0.13 mm</em>

Step-by-step explanation:

<u>Scaling</u>

Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor. We use scaling in several applications of real-life.

The human hair is magnified 150 times by a micro-phtograph. This is the scale factor.

The hair can be seen 2 cm wide in the photograph.

Converting to millimeters, 2 cm = 2*10 = 20 millimeters.

The actual width of the hair is 20 / 150 = 0.13 mm

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3 years ago
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