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Xelga [282]
3 years ago
6

The verticles of a triangle are the points R(3,c),Q(9,2) and R(3c,11) where c is constant. Given that angle PQR is 90​

Mathematics
1 answer:
IceJOKER [234]3 years ago
5 0

Answer:

Step-by-step explanation:

Find c if ∠PQR = 90°?

I will ASSUME you mean point P is at (3. c)

slope of PQ is (2 - c) / (9 - 3) = (2 - c) / 6

slope of QR is (11 - 2) / (3c - 9) = 9 / (3c - 9)

perpendicular lines have negative reciprocal slopes.

(2 - c) / 6 = -1(3c - 9)/9

9(2 - c) = -6(3c - 9)

18 - 9c = -18c + 54

       9c = 36

         c = 4

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A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground.
tankabanditka [31]
To find the length of the ladder, you need to do Pythagorean theorem.
50^2 + 30^2 = x^2
2500 + 900 = x^2
x^2 =3400
x= square root of 3400
58.31 OR 10 root34

To find the angle:
tan theta = opposite/adjacent
50/30 = 5/3
theta = tan inverse of 5/3
= 59.04


8 0
3 years ago
The cone in the figure below has a volume of 72π cubic centimeters and a height of 6
AleksAgata [21]

Answer:

6 cm

Step-by-step explanation:

The volume of a cone = (1/3) πr²h

72π = (1/3) π r² 6

72 = (1/3) r² 6

Divide both sides by 6

12 = (1/3) r²

Multiply both sides by 3

36 = r²

So r (radius) = 6 cm

8 0
3 years ago
Find the measure of
AlekseyPX

Answer:

4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Draw a number line 0 through 2 and show all numbers that are positive proper fractions with denominator 6.
inn [45]

Answer:

Here you go

By the way, 1= 6/6 and 2=12/6

4 0
3 years ago
146x1600=_____<br>Please help me Q-Q <br>Thank you guys, have a good day​
yawa3891 [41]

Answer:

233600

Step-by-step explanation:

46x600=27600

27600

100x1000=1000000

=233600

Have a nice day

4 0
3 years ago
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