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Andrej [43]
3 years ago
10

How do we prove that a line is a tangent of a circle ​

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
5 0

Answer:

if the line makes an angle of 90° with the radius of the circle at the point of contact of the tangent and the circle

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AC=(5x+12) and BD =8x? Can somebody help me to slove it
AleksAgata [21]
To solve this equation from the information given above, I ordered it 5x+12=8x. To solve, I subtracted 5x from each side, canceling the 5x to your left, leaving only the number 12. 8x minus 5x equals 3x. Take 3x and divide on both sides. 3x/3x cancels the 3, leaving 12/3 equals 4. Finally, x equals 4.
3 0
3 years ago
Please due in 20 min I’ll mark as brainliest or extra points please and no links pleaseee!!!
Oduvanchick [21]

Answer:

5y + 7

Step-by-step explanation:

Given:

Seeds planted in one garden = y vegetable seeds

Seeds planted in another garden =  4y + 7 vegetable seeds

To Find:

The number of seeds Val is going to plant = ?

Solution:

Let the total number of seeds that Val is going to plant be x.

Then

x =  number of seeds planted in garden one +  number of seeds planted in the other garden

Now substitute the values, we get

x = y + (4y+7)

x = 5y + 7

5 0
2 years ago
Jacob walks 1.5 miles north. He turns and walks 0.8 miles west. How far is he from his starting point?
Flura [38]

Answer:

1.7 miles

Step-by-step explanation:

Given that,

Jacob walks 1.5 miles north.

He turns and walks 0.8 miles west.

We need to find how far is he from his starting point. Let he is at a distance of x miles from the starting point. It can be calculated as follows :

x=\sqrt{1.5^2+0.8^2} \\\\x=1.7\ \text{miles}

Hence, he is 1.7 miles from his starting point.

7 0
2 years ago
I'll give you brainlies if you help me on this!
ryzh [129]

Answer:

5/4 ounces.

Step-by-step explanation:

There are 4 marks. So 1/4 is the smallest one. There are 5 of them. 5x1/4 is 5/4 or 1 1/4

3 0
2 years ago
Read 2 more answers
Suppose brine containing 0.2 kg of salt per liter runs into a tank initially filled with 500 L of water containing 5 kg of salt.
Oliga [24]

Answer:

(a) 0.288 kg/liter

(b) 0.061408 kg/liter

Step-by-step explanation:

(a) The mass of salt entering the tank per minute, x = 0.2 kg/L × 5 L/minute = 1 kg/minute

The mass of salt exiting the tank per minute = 5 × (5 + x)/500

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;

Δ/dt = x - 5 × (5 + x)/500

The increase, in mass, Δ, after an increase in time, dt, is therefore;

Δ = (x - 5 × (5 + x)/500)·dt

Integrating with a graphing calculator, with limits 0, 10, gives;

Δ = (99·x - 5)/10

Substituting x = 1 gives

(99 × 1 - 5)/10 = 9.4 kg

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank)

∴ The concentration of the salt and water in the tank after 10 minutes =  (5 + 9.4)/500 = (14.4)/500 = 0.288

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter

(b) With the added leak, we now have;

Δ/dt = x - 6 × (14.4 + x)/500

Δ = x - 6 × (14.4 + x)/500·dt

Integrating with a graphing calculator, with limits 0, 20, gives;

Δ = 19.76·x -3.456 = 16.304

Where x = 1

The increase in mass after an increase in = 16.304 kg

The total mass = 16.304 + 14.4 = 30.704 kg

The concentration of the salt in the tank then becomes;

Concentration = 30.704/500 = 0.061408 kg/liter.

6 0
3 years ago
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