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Tpy6a [65]
3 years ago
5

What is the value of a + b+c? you may assume that the ray is tangent to the circle?

Mathematics
1 answer:
Vilka [71]3 years ago
4 0

Answer:

Option c

Step-by-step explanation:

Given is a picture of a circle with two arcs angled 54 and 86.

a,b,c are the angles shown as the angle between a chord and tangent, angle between diameter and a chord and also angle between another chord and diameter

Recall the subtended angle theorem for circles

Angle subtended at the centre is double angle subtended at the circumference

Since arc below subtends 86 with centre it will subtend 43 degrees at the circumference.

ie. c= 43 degrees...i

Next is sum of a+b.

Recall tangent theorem that any tangent is perpendicular to the radius at the contact point.  Here a+b is the angle between tangent and radius

Hence a+b=90

Together

a+b+c = 133 degrees

Option c

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It takes 40 units of maple sap to produce 1 ounce of maple syrup. Jane and her family are bottling maple syrup in 20 -ounce bott
Setler [38]

Answer:

10,800

-1200

Step-by-step explanation:

Given that :

40 units of maple sap = 1 ounce of maple syrup

Using a 20 - ounce bottle, 2 ounces of air is left

Ounces of actual syrup = (20 - 2) = 18 ounces

Number of maple sap required to fill 15 bottles :

Number of maple saps required to fill 18 ounces bottle :

40 units = 1 ounce

x = 18 ounces

Hence, for 18 ounces of maple syrup :

(40 * 18).= 720 units of maple sap

For 15 bottles of 18 ounces maple syrup:

(720 * 15) = 10,800 units of maple sap

If they had filled each bottle to the top:

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5 0
3 years ago
What is the HCF of 20 36 and 45??
tangare [24]

20=1×2×2×5=1×4×5

36=1×2×2×9=1×4×9

45=1×3×3×5=1×9×5[/tex]

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6 0
3 years ago
Read 2 more answers
Work out the reciprocal of 0.4
Bond [772]

Answer:

1/0.4=10/4=5/2...............

4 0
2 years ago
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Which integer is closest to 0 on the number line?
Elenna [48]
The answer is C, 1.
In a number line, the larger number it gets, the more of the right side they're. The smaller the number, the more left side they get.
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7 0
3 years ago
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Evgesh-ka [11]

Answer:

<em>The compound inequality that shows the voltage amount the necessary range is  3.5</em>

Step-by-step explanation:

Loni needs between 3.5 and 7.2 volts of energy, not inclusive, to make an experiment work correctly.

That means, <u>the voltage amount should be either greater than 3.5 volts or less than 7.2 volts</u>.

Suppose, the amount of voltage is V volts to make the experiment work correctly.

Now, Voltage amount is greater than 3.5 volts means:  V>3.5 or 3.5

and voltage amount is less than 7.2 volts means:  V

Thus, the compound inequality by combining the above two inequalities will be:   3.5

5 0
3 years ago
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