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Natalija [7]
3 years ago
12

10. Are the points A (3, 5), B (0, 2), and C (-2.10) the vertices of a right triangle? Justify your

Mathematics
1 answer:
Sauron [17]3 years ago
5 0

Answer:

yes

Step-by-step explanation:

line ab^2=(3-0)^2+(5-2)^2=9+9=18

line bc^2=((0-(-2))^2+(2-10)^2=4+64=68

line ca^2=((-2)-3)^2+(10-5)^2=25+25=50

bc>CA>ab

if it's a right triangle, then bc^2=ab^2+ca^2

68=50+18

so, it's a right triangle

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In ΔPQR, the measure of ∠R=90°, the measure of ∠P=26°, and PQ = 8.5 feet. Find the length of QR to the nearest tenth of a foot.
Vitek1552 [10]

Answer:

3.7feet

Step-by-step explanations

Using the sin rule

A/sin a = B/sin b

Let A = PQ = 8.5feet

B = QR = x feet

a = R = 90°

b = P = 26°

Substitute the values into the Sin rule

8.5/sin90 = x/sin26

8.5×sin 26 = x × sin 90

8.5×0.4383 = x× 1

3.7255 = x

Hence the length of QR to the nearest tenth 3.7feet

5 0
3 years ago
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An English class consists of twenty students, and four are to be chosen to give speeches in a school competition.
NemiM [27]
A)If the order of the speakers is important, we have 20x19x18x17, or 116,280 different options.
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4 0
3 years ago
HELP ME BRAIN NO THINK
Novosadov [1.4K]

Answer:

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3 0
3 years ago
Rewrite with only sin x and cos x. (6 points) cos 2x - sin x
velikii [3]

Answer:

The answer is a. cos2x - sin2x - sin x. Use the rule: cos2x = (cos^2)x - (sin^2)x. So, substitute cos2x in the expression: cos2x - sinx = ((cos^2)x - (sin^2)x) - sinx = (cos^2)x - (sin^2)x - sinx. Therefore, choice a. is correct choice.

4 0
3 years ago
-5x - 15 = -200<br> solve for x
Whitepunk [10]

Answer: 37

Step-by-step explanation:

-5x - 15 = - 200

-5x = -200 + 15

-5x = -185

x = 37

***If you found my answer helpful, please give me the brainliest, please give a nice rating, and the thanks ( heart icon :) ***

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3 years ago
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