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3 years ago

Point F is on circle C.

Mathematics

2 answers:

Hoochie [10]3 years ago

7 0

CF is a radius = 7.5 units

To find GC we will use the Pythagorean theorem.GC² = 10² + 7.5²

GC² = 100 + 56.25GC² = 156.25GC = √ 156.25GC = 12.5

GF = 12.5 + 7.5 = 20

Answer: 20 units

Assoli18 [71]3 years ago

7 0

Answer

Find out the length of line segment GF .

To prove

In Δ GEF is a right triangle .

As shown in the diagram

GE = 10 units

EC = 7.5 units

By using the pythagorean theorem

Hypotenuse² = Perpendicular² + Base²

GC² = GE² + EC²

= 10² + 7.5²

= 100 + 56.25

= 156 .25

$GC = \sqrt{156.25}$

GC = 12 .5 units

As shown in the diagram

CF is the radius of a circle .

CF = 7.5 units (As in the figure EC = 7.5 units)

GF = GC + CF

= 12 .5 units + 7.5 units

= 20 units

Therefore option (d) is correct .

Hence proved

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Sati [7]

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Method 1
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Since the numerators are the same, the smaller the denominators, the greater the fraction is.

Arranging from the least to the greatest
$\dfrac{2}{6} \ , \ \dfrac{2}{4} \ , \ \dfrac{2}{3}$

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Method 2
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Lets change all to the same denominators

$\dfrac{2}{4} = \dfrac{2 \times 3}{4 \times 3} = \dfrac{6}{12}$

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$\dfrac{2}{6} = \dfrac{2 \times 2}{6 \times 2} = \dfrac{4}{12}$

Now that all the denominators are the same, we can arrange the fractions by comparing the numerators. The bigger the numerators, the greater the fraction.

Arranging from the least to the greatest
$\dfrac{2}{6} \ , \ \dfrac{2}{4} \ , \ \dfrac{2}{3}$

3 0

3 years ago

Read 2 more answers

11 more than four times a number is 39

Aliun [14]

Hello!

Your answer is: 7

(X = "<em>A number</em>")

<em>"11 more than four times a number is 39"</em> in equation form is: 4X + 11 = 39

to solve, first subtract 11 from both sides:

4X = 28

then divide both sides by 4 to get:

X = 7

I hope this helps, and have a nice day!

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3 years ago

What is 75percent of 200

Setler79 [48]

Answer:

150

Step-by-step explanation:

4 0

2 years ago

The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate.

Paul [167]

Answer:

A) Amount in the account after 3 years = $ 7, 883.14

B) Interest earned = $ 883.14

Step-by-step explanation:

The formula to be used is given as

A = P ( 1 + r/n)^nt

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

In the question we are given the following values :

A = final amount = Unknown

P = initial principal balance = $7,000

r = interest rate = 4% = 0.04

n = number of times interest applied per time period = semi annually , n= 2

t = number of time periods elapsed = 3 years

A) Find how much money there will be in the account after the given number of years.

A = P ( 1 + r/n)^nt

A = $7,000 (1 + 0.04/2)²×³

A = $7,000( 1+ 0.04/2)⁶

A = $7,000( 1.02)⁶

A = $ 7,883.14

The amount in the account after 3 years = $ 7,883.14

B. Find the interest earned.

To find the interest earned, we use the formula

A = P + I where

P (principal) = $ 7,000.00

A (Amount after 3 years) = $ 7,883.14

I = A - P

I = $ 7,883.14 - $ 7,000.00

I =$ 883.14

The interest earned = $ 883.14

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2 years ago

I Am A Number That Is Double The Product Of 2 And 7. One Of My Factors Is 7 What Is My Other factor

tatyana61 [14]

If 7 × 2 = 14, then 14 + 14 = 28. So, 7 times 4 equals to 28. You can add 14 + 14 or multiply 7 and 4 to get your answer.

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3 years ago