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Whitepunk [10]
3 years ago
13

Determine if line AB is tangent to the circle. Please help!!

Mathematics
1 answer:
Ugo [173]3 years ago
7 0

Answer:

B. Tangent

Step-by-step explanation:

Tangent always makes 90 degree angle with the radius. Now in triangle let's see if it's right angled triangle or not.

To confirm if it's a right angled triangle it should follow Pythagoras Theorem.

Which states square of hypotenuse = sum of squares of other two legs

12 {}^{2}  + 16 {}^{2}  = 20 { }^{2}  \\ 144 + 256 = 400 \\ 400 = 400

it proves that it's a right angled triangle. Hence AB is a tangent to circle.

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The speed of the current in a certain stream is 6 mph. If a boat travels 94 miles
Katyanochek1 [597]

Answer: The trick to this question is twofold:

Spot that 94 is double 47. Therefore when going downstream, the speed of the boat relative to the earth is double it's speed going upstream as it covers double the distance in the same time.

Understand that whatever the speed of the boat is, when going downstream it's speed relative to the earth is 6mph greater than speed relative to the water, and conversely when going upstream, earth speed is 6mph less than water speed.

So, if the speed through the water is X, upstream speed is (X-6) and downstream speed is (X+6).

Now, we know that upstream speed is double downstream speed, so:

Double (x-6) is equal to (X+6)

Or:

2(x-6)=(X+6)

5 0
2 years ago
Juan’s father is paying for a $45 meal. He has a 10%-off coupon for the meal. After the discount, an 8% sales tax is applied. Wh
leva [86]

Answer:

$43.74

Step-by-step explanation:

will pay= $45

10% of =$45×10/100=$4.5

so, $45-$4.5= $40.5

8% tax= $40.5×8/100 =$3.24

total= $43.74

7 0
3 years ago
Help, please.
Ray Of Light [21]

Answer:

the answer is 4 1/4 hours

Step-by-step explanation:

45+(80x2)=205+160=365

80_4=20+365=385

7 0
3 years ago
Read 2 more answers
How do I find the exact area of a circle with a diameter
kirill115 [55]

Answer:

Divide the diameter by 2 and insert for radius in the equation

Step-by-step explanation:

To find the area of a circle, we can use the equation <em>A=pir^2 </em>or <em>area=pi*radius squared.</em>

The radius is half of the diameter, so just divide the diameter by 2 and plug it into the equation.

Hope this helps!

4 0
3 years ago
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true or false: b) If a line contains a center of a circle, it is a secant of the circle. (c If 2 chords intersect a circle, they
Valentin [98]

Answer:

b) true

c) false

d) true

e) true

Step-by-step explanation:

b) Any line that contains an interior point of a circle is a secant of the circle. The center is an interior point, so a line that contains the circle center is a secant.

__

c) Chords of different lengths intercept arcs of different measures

__

d) Any line perpendicular to a radius at the point where the radius meets the circle is a tangent to the circle. The endpoint of a diameter is the endpoint of a radius, so a line perpendicular there will be a tangent.

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e) The measure of an inscribed angle is half the measure of the intercepted arc, so all inscribed angles that intercept equal arcs are equal.

5 0
3 years ago
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