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KIM [24]
2 years ago
14

In the figure shown, FG is tangent to circle D.

Mathematics
1 answer:
romanna [79]2 years ago
8 0

Answer:

Option B

Step-by-step explanation:

From the figure attached,

Circle D is drawn with the radius = DG or DE

A tangent FG has been drawn at a point G on the circle from an external point F.

By theorem,

Radius of a circle is always perpendicular to the tangent, drawn to the circle from an external point.

Therefore, DG ⊥ FG.

Option B will be the correct option.

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90 hazelnuts have a mass of 125g. Hazelnuts have 630 calories per 100g. Work out the number of calories per hazelnut.
Llana [10]

Answer:

8.75 g

Step-by-step explanation:

Mass of 1 hazelnut= 125/90=1.388888889  g

Calories per g= 630/100= 6.3 calories per g

Calories per hazelnut= 6.3*1.388888889 =8.75 g

8 0
1 year ago
Determine an interest rate less than 15%, a period of investment greater than two years, and a regular payment that will result
Alborosie
13%, 5 years, 2500 could most likely maybe be the answer a question
7 0
1 year ago
Rework problem 28 from section 3.1 of your text, involving the inspection of refrigerators on an assembly line. You should still
sergeinik [125]
Event: Probability: A. Too much enamel 0.18 B. Too little enamel 0.24 C. Uneven application 0.33 D. No defects noted 0.47 


let P(AC) = x, P(BC) = y, then P(A) + P(B) + P(C) - (x+y) = 1-0.47 = 0.53 x+y = 0.22 
3. The probability of paint defects that results to <span>an improper amount of paint and uneven application? </span>
 P(A U B U C) = 0.53 

4. <span>the probability of a paint defect that results to</span>
<span>the proper amount of paint, but uneven application?</span>
P(C) - P(AC) - P(BC) = 0.47 - 0.22 = 0.25 


A and B are disjoint so P(ABC) = 0, but you can have P(AC) and P(BC). you can't compute these separately here, but you can compute P(AC) + P(BC). By the way, P(AC) eg is just an abbreviated version of P(A∩C).
3 0
2 years ago
Lian invested an amount of money at an interest rate of 5.2% per year.
Zigmanuir [339]

Answer:

$6500

Step-by-step explanation:

Let the amount of money invested by Lian be $x

Interest rate = 5.2% per year

interest earned in first year will be  5.2% of  amount of money invested by Lian .

(note: since in first year there will be no interest accrued on interest so interest for first year is simple interest )

interest earned in one year if money invested by Lian is $x

= 5.2% of $x  (1)

But , it is given in one year  she received interest of 338 dollars

so, 338 dollars must be equal to 5.2% of $x

equating $338 with  5.2% of $x  , we have

5.2% of x  = 338

=> (5.2/100) * x = 338

=>5.2 x = 338*100

=> x = 33800/5.2 = 6500.

Thus,  amount of money Lian invested is $6500.

7 0
1 year ago
A silent auction was held for a quilt donated for charity. Fifteen bids that were drawn randomly are listed here. Find the value
Alik [6]
45th percentile means that 45% of the data fall below that number while 55% (that is, 100-45) fall above it.

Now, arranging the number in ascending order;
$60, $85, $95, $105, $120, $145, $155, $175, $190, $215, $235, $240, $260, $285, $325

The total number of counts = 15
Then,
Index = 15*45% = 15*0.45 = 6.75

Round up,
Index = 7

The,
7th number = $155

Therefore, 45th percentile value of the data = $155
8 0
2 years ago
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