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Karolina [17]
1 year ago
12

1. Find the value of x in this figure.

Mathematics
1 answer:
____ [38]1 year ago
3 0

Answer:

x = 30º

Step-by-step explanation:

Let's call the midpoint of OP, R.

The triangle of OQR would be an equilateral triangle since OQ = OR as they are both radii and is OQR and ORQ are 60º, ROQ is also 60º, making the triangle equilateral. Because tangents meet a circle at 90º, the angle RQP would be 30º and since angles on a straight line add to 180º, the angle QRP would be 180-ORQ which is 120º. Now we know the 2 angles in triangle of QRP so we can work out the final angle since angles in a triangle add to 180º. So:

180 - 120 - 30 = 30º.

x = 30º

This would also prove that QR and RP are the same since base angles in an isosceles triangle are equal.

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Find the distance and midpoint for the points (5,5) and (1,2).
stealth61 [152]

Answer:

midpoint = (3,3.5)

distance = 5

Step-by-step explanation:

midpoint = (x1+X2/2, y2+y2/2)

=(5+1/2, 5+2/2)

=(6/2, 7/2)

=(3, 3.5)

distance= √(x2-x1)^2 -(y2-y1)^2

=√(1-5)^2 -(2-5)^2

= √ 16+9 =√25 =5

5 0
2 years ago
How much water should be added to 12mL of 11% alcohol solution to reduce the concentration to 6%
laila [671]

Answer:

We have 12 mL of 11% alcohol.

How much water do we add to make it a 6% solution?

We have 1.32 mL alcohol and 10.68 mL water

x is the water to add

(1.32) / (12 + x) = .06

1.32 = .72 + .06x

.6 = .06x

x = 10 mL

Step-by-step explanation:

6 0
2 years ago
Need help with this question
Alenkasestr [34]

Answer: Well you would have to look at the options in the drop down and then find the terms and others

Step-by-step explanation:

8 0
2 years ago
A sphere with a radius of 6 cm has the same volume as a cone with a height of 6 cm. What is the radius of the cone?
Advocard [28]
The volume of a sphere is
V_s = 4/3 * pi * r_s^3
The volume of a cone is
V_c = 1/3 * pi * h * r_c^2

Since we know that the two volumes are equal, we can say
V_s = V_c
4/3 * pi * r_s^3 = 1/3 * pi * h * r_c^2

Let us now isolate r_c, the radius of the cone:
4/3*r_s^3 = 1/3 *h*r_c^2
sqrt((4*r_s^3)/h) =r_c = 12 cm 

So the radius of the cone is 12 cm
8 0
2 years ago
What transformation is used to create this frieze pattern?
Lesechka [4]

Answer:

glide reflection

Step-by-step explanation:

got it right on the test!

5 0
2 years ago
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