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2 years ago

6

1 answer:

6 0

7 of the sweets in the bag are strawberry. Since there are 20 sweets total in the bag, 20 - 7 = 13 sweets in the bag must be non-strawberry.

The probability that a sweet taken at random from the bag is not strawberry would thus be 13/20.

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In circle o,find the value of x, rounded to the nearest tenth.

Gemiola [76]

Answer:

$\huge\boxed{x \approx 5.4}$

Step-by-step explanation:

We can break down this problem by first realizing different parts of the circle.

The line which is 8 units long is a chord of the circle.
The line that is 3.6 is almost the radius of the circle
The line that x sits on is the radius.

With this, we can find out if we find the radius of the circle, we have our answer.

We should also note that the angle formed by the 3.6 units long line and the chord is a right angle.

What we need is a way to find the radius of the circle. This will get us x. The radius of a circle will be the length of any line that starts from point O and ends at the circle edge.

If we draw a line connecting the end of the 3.6 line at point O to the end of the 8 unit long chord, we get a triangle! (Image attached for reference).

We can solve for the hypotenuse using the Pythagorean Theorem. This theorem states that:

$\displaystyle a^2 + b^2 = c^2$

Since we know one side is 3.6, we can use that as A. The second side will be 4 since the 3.6 line lies directly in the center of the chord = 8/2 = 4!

$3.6^2 + 4^2 = c^2$
$12.96+16=c^2$
$28.96=c^2$
$\sqrt{28.96} = c$
$5.4 \approx c$

Therefore, since this is the radius of the circle (also the hypotenuse), this can be said for any line that comes from point O onto the edge of the circle.

The line X does just that. Therefore, the value of x is also 5.4.

Hope this helped!

4 0

2 years ago

DeSean is sorting his toy car collection. ⅔ of the cars are sports cars. ¼ of the remaining toys are pick up trucks. All of the

user100 [1]

Answer:

Fraction of fire trucks = $\frac{1}{4}$

Total number of toy cars = $16$

Step-by-step explanation:

Fraction of sports car = $\frac{2}{3}$

Fraction of remaining cars $=1-\frac{2}{3}=\frac{3-2}{3} =\frac{1}{3}$

So,

Fraction of pick up cars = $\frac{1}{4}(\frac{1}{3})=\frac{1}{12}$

Therefore,

Fraction of fire trucks = $\frac{1}{3}-\frac{1}{12}=\frac{4-1}{12}=\frac{3}{12}=\frac{1}{4}$

That is Number of fire trucks = $\frac{1}{4}$ ( Total number of toy cars )

Number of fire trucks = 4

Total number of toy cars = $4(4)=16$

3 0

2 years ago

How many miles can the car travel using 9 gallons of gasline

Igoryamba

Answer:

Great question! First find the rate: 240 miles/9 gallons = 26.7 miles/gallon. So this means Reuben can drive 26.7 miles per 1 gallon.

Step-by-step explanation:

Let me know if you have any questions!

5 0

2 years ago

HELP WITH ONE MORE!!!!!!!!

Alexxx [7]

Answer:

f(x + 3) = (4x + 13)/(x - 3)

Step-by-step explanation:

If f(x) = (4x + 1)/(x - 6)

then in f(x + 3)...js replace x with (x + 3)...

f(x + 3) = (4(x + 3) + 1)/(x + 3 - 6)

;f(x + 3) = (4x + 13)/(x - 3)

3 0

3 years ago

Which value of x is in the solution set of the following inequality. -3x +5 >7

Vadim26 [7]

I’m not sure if this was a typo, but A and B are the same answer. A and B are correct, because when you solve this the answer has to be anything less than -0.6.

8 0

3 years ago