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balandron [24]
3 years ago
11

In the image, point A marks the center of the circle.

Mathematics
2 answers:
Zina [86]3 years ago
8 0

Answer:

As given Point A is the center of the circle.

We will answer this question by considering all the options.

Option 1. FA : AE    [ Both FA and EA are radius of circle .So their ratio can't be equal to 1:2.]

Option 2. CB : FE  [ CB is a chord and FE is a Diameter  as length of Chord not given, So we can't Predict about their Ratio.]

Option 3: FE : AH  [As FE is the Diameter and AH is radius.Diameter = 2 × Radius,So FE : AH=2:1]

Option 4 : AH : FE  [Explained above AH: FE=1:2]

Option 5:  AH : AD  [AH is the radius of the circle and D is any point on AH So their ratio can't be 1:2.]

Option (d) AH : FE = Radius : Diameter=1:2 is true.


sammy [17]3 years ago
3 0
I would go with D) AH:EF. The easiest relationship among the parts of a circle that would have the ratio of 1:2 would be that of a radius to a diameter. Among the choices, the one that matches the 1:2 ratio would be AH (a radius) and EF (a diameter).
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6 times a number is 27 less than the square of that number. Find the positive solution.
Sedaia [141]

Answer:

9

Step-by-step explanation:

6n = n² - 27

n² - 6n - 27 = 0

n² - 9n + 3n - 27 = 0

n(n - 9) + 3(n - 9) = 0

(n - 9)(n + 3) = 0

n = -3, 9

7 0
3 years ago
Find the value of y when x equals 18.<br><br> x - 7y= -17
galina1969 [7]

Answer:

y = 5

Step-by-step explanation:

<u>Step 1:</u>

(18) -7y = -17

-18           -18

<u>Step 2:</u>

-7y = -35

÷-7     ÷-7

y = 5

5 0
2 years ago
What is24/3 as a mixed number
Artist 52 [7]
24/3 in a mixed fraction is 8
7 0
3 years ago
The temperature was –15⁰F and decreased by 10⁰ F. Which statement represents the resulting temperature in degrees Fahrenheit?
lorasvet [3.4K]

The temperature decreased so you would subtract the amount from the original temperature.

The answer would be:

-15 - 10 = -25

5 0
3 years ago
Read 2 more answers
13....................
Mashcka [7]

13.

(a)

y=-5x^2+21x-3

for x = 2:

y=-5(2)^2+21(2)-3=-20+42-3=19

for x = 5

y=-5(5)^2+21(5)-3=-125+105-3=-23

(b)

The graph is:

(c)

Using the graph:

\begin{gathered} x=1.8,y=18.6 \\ x=0.548,y=7 \\ x=3.65,y=7 \end{gathered}\begin{gathered} x=1.8 \\ y=-5(1.8)^2+21(1.8)-3=-16.2+37.8-3=18.6 \end{gathered}\begin{gathered} y=7 \\ -5x^2+21x-3=7 \\ -5x^2+21x-10=0 \end{gathered}

Using the quadratic formula:

\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-21\pm\sqrt[]{21^2-4(-5)(-10)}}{2(-5)} \\ x=\frac{-21\pm\sqrt[]{241}}{-10} \\ x=0.54758 \\ or \\ x=3.6524 \end{gathered}

6 0
1 year ago
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