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blsea [12.9K]
4 years ago
5

AB is Tangent to circle O at B.

Mathematics
2 answers:
musickatia [10]4 years ago
8 0
We are tasked to solve for the measurement of the radius of a circle with center O. The given values are the AB=7 units and AO=8.9 units. To further understand the problem, see attached picture. It is a right triangle, we can use Pythagorean theorem in solving for radius such as the solution is shown below:
AO² = r² + AB²
8.9² = r² + 7²
r² = 8.9² - 7²
r= 5.5

The radius is 5.5 units. 

BartSMP [9]4 years ago
8 0
The radius equals 5.5

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Two cyclists start from 98 miles apart and begin racing toward each
kati45 [8]

The speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.

Let the speed of one bicyclist=x mph

Let the speed of the other bicyclist=(x+3) mph

Hence:

Speed of one bicyclist:

3x+3(x+3)+2=98

3x+3x+9+2=98

6x=87

Divide both side by 6x

x=87/6

x=14.5 mph

Speed of the other bicyclist:

x+3 mph

14.5 mph+3 mph

=17.5 mph

Inconclusion the speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.

Learn more here:

brainly.com/question/18839894

3 0
2 years ago
Read 2 more answers
How much water do you add...
Alecsey [184]

Answer: 36.67 grams of water is added.

Step-by-step explanation:

Let the amount of water is added be 'x'.

Amount of sugar = 5 g

We need to make 12% of sugar syrup.

x grams of water is added to 5 g of sugar, to 12% of sugar syrup.

so, it becomes,

\frac{5}{5+x}=\frac{12}{100}\\\\100\times 5=12(5+x)\\\\500=60+12x\\\\500-60=12x\\\\440=12x\\\\\frac{440}{12}=x\\\\36.67\ g=x

Hence, 36.67 grams of water is added.

7 0
3 years ago
It was estimated that the United States would need 6200 more veterans in 2012. The percent error was 10%. If the estimate was lo
sdas [7]
30.......ik lol hahshdkslxpazplaz
5 0
3 years ago
Who is correct between the two of them?
deff fn [24]

Answer:

Neither.

Step-by-step explanation:

I am not completely sure, so make sure to also let other answer this before you trust me lol. I really hope this helps!!

3 0
3 years ago
Learning Task 3: In your answer sheet, write the letter of the correct answe
miss Akunina [59]

Answer:

a.) May or may not a polynomial function ( depends on c)

b.) Not a polynomial function.

c.) Not a polynomial function.

d.) It is a polynomial function.

Step-by-step explanation:

A polynomial function is of the form - a_{n}x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + .....+ a_{1}x + a_{0}

where n is positive integer and n\neq 0

a.)

P(x) = 2x³ + 32 - 4x + 4c

It may or may not a polynomial function because we did not know about the constant c.

b.)

H(x) = 4x^{\frac{1}{2} } - 3x⁴

It is not a polynomial function because \frac{1}{2} is not integer.

c.)

G(x) = 2x^{-3} + 5

It is not a polynomial function because -5 is not a positive integer.

d.)

F(x) = 2x³ - 5x + 33x²

It is a polynomial function.

8 0
3 years ago
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