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Sav [38]
3 years ago
7

Geometry please help

Mathematics
1 answer:
eduard3 years ago
7 0
Answer: (B) 130 cm

Proof: If a chord and a line from the centre meet, they must be perpendicular. The line from the centre to the chord also bisects the chord. If the distance from the centre of the circle to the chord is 52 cm and the distance of half of the chord is 39 cm, then you can work out using Pythagoras' Theorem the distance of the radius.

r² = 52² + 39²
r² = 4225
r = 65

Thus, the diameter is 2r = 130 cm
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Find the values of the six trigonometric function if the point is on the terminal side of the angle.
ale4655 [162]

The point (x,y) = (-1.5) is in the second quadrant. So the best way is to draw a point in the xy coordinate plane and a line segment at the origin (0,0).

Now draw a line from (-1.5) to the x-axis. What you should have is a right triangle with the following coordinates: (0,0); (-1.5); (-1.0).

If you look at a right triangle, it has a small leg on the x-axis. Its length is 1 unit. The larger leg is 5 units long. The length of the hypotenuse can be calculated using the Pythagorean theorem. c2 = a2 + b2, the length of hypotenuse c is √26.

In summary,

- length of short leg = 1 unit

- length of long leg = 5 units

- length of hypotenuse = √26 units

Let x be the length of the leg on the x axis (short leg). Let

y be the length of the other leg (long leg).

Let r be the length of the hypotenuse.

x = -1

y = 5

r = √26

Now we can calculate the trigonometric identity:

sin θ = y/r

cos θ = x/r

tan θ = y/x

cot θ = x/y

seconds θ = r/x

csc θ = r/y

Learn more about Pythagorean theorem brainly.com/question/343682

8449

7 0
2 years ago
A cylinder has a height of 17 millimeters and a radius of 6 millimeters. What is its volume? Use ​ ≈ 3.14 and round your answer
lozanna [386]

Answer:

1921.68mm^3

Step-by-step explanation:

Given data

H=17 millimeters

R=6 millimeters.

We know that the expression for the volume of cylinder is

V= πr^2h

substitute

V= 3.14*6^2*17

V= 3.14*36*17

V= 1921.68 mm^3

Hence the volume is 1921.68mm^3

8 0
3 years ago
The equation of the line passing through the points (−10, 0) and (−8, 20) can be expressed as y = mx + b. Give the value of b.
weeeeeb [17]

Given are the two points (-10,0) and (-8,20), and equation of the line as y=mx+b.

We can plug the given values in the equation as follows :-

0 = -10m + b .........equation(1)

20 = -8m + b .........equation(2)

Subtracting equation(1) from equation(2)

20 - 0 = (-8m + b) - (-10m + b)

20 = -8m + b + 10m - b

20 = 10m - 8m

20 = 2m

m = 10

Plugging m=10 in the equation(1)

0 = -10(10) + b

0 = -100 + b

b = 100

So final answer is b = 100.

3 0
3 years ago
Read 2 more answers
The graph of the equation x + 3y = 6 intersects at the y axis at the point whose coordinates are
svp [43]

Answer:

4. (6,0)

Step-by-step explanation:

Plug the points into the equation.

6+3(0)=6

6+0=6

6=6

5 0
3 years ago
PLSSSS HELLPPPPP!!!
eimsori [14]

Answer: B, D, and F

Step-by-step explanation:

Hi, so for this question, the phone bill is in an equation. Before doing this problem, make sure to understand what the 2 and 56 mean. The problem says that c is the monthly charge, and m is the number of minutes. This means that 2 is the number of dollars required to pay when you use the phone for one minute. So 2 dollars per minute. The 56 is basically the fee that is just charged for using the phone bill. Meaning that even if you don't use the phone at all, you will still need to pay 56 dollars.

By understanding those info, it should be easier to answer.

For A, it is not correct. if you look, although 2*4 is 8 dollars, but you need to add 56 for the monthly bill. (I think when they say 'your bill' they mean the monthly bill).

For B, it is correct. Like I said before, the 56 dollars is there no matter how long you use the phone.

For C, it is not correct. This isn't hard to understand since if B is correct, C is probably not, and vise versa. And the 56 dollars is missing.

For D, it is correct. As I said before, the 2 represents the amount of dollars for one minute.

For E, it is not correct. (Contradicts the previous answer and each minute costs 2 dollars).

For F, it is correct. When you use 2 minutes, the equation is 2*2+56 which is 60 dollars.

Hopefully this helps!

3 0
3 years ago
Read 2 more answers
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