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3 years ago

Compare -1.96312... and -5

1 answer:

3 0

-1.96312 is larger than -5

in a number line, when it is positive, the larger the number is bigger than the smaller.

however, when it is negative, the smaller number is bigger than the larger.

hope this helps

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A pecan pie is being served for dessert. One piece of pie has an arc length of 7.85 in. It has been cut into 8 equal pieces. Wha

pishuonlain [190]

Answer: 10 inches.

Step-by-step explanation:

Since the pecan pie is a circle, you can use this formula:

$arc\ length=r\theta$

Where "r" is the radius and $\theta$ is the central angle of the arc in radians.

If the pecan pie has been cut into 8 equal pieces then the central angle is:

$\theta=\frac{2\pi}{8}\\\\\theta={\frac{\pi}{4}$

Now you know the arc length and the central angle, then, you can solve for "r" from $arc\ length=r\theta$ :

$\frac{arc\ length}{\theta} =r$

Substituting values, you get that the radius of the pecan pie rounded to the nearest whole number is:

$r=\frac{7.85in}{\frac{\pi}{4}}\\\\r=10in$

8 0

2 years ago

Solve for x.

denis-greek [22]

Answer:

$\frac{3\±\sqrt{3}}{3}$

Step-by-step explanation:

Whe have the function $3x^2-6x+2=0$

To solve this equation we must factor.

To factor, we need to find the points where the function is equal to zero. So we use the quadratic formula

$\frac{-b\±\sqrt{b^2-4ac}}{2a}$

Where:

a = 3

b = -6

c = 2

Then

$\frac{-(-6) + \sqrt{(-6)^2-4(3)(2)}}{2(3)} = \frac{3+\sqrt{3}}{3}\\\\and\\\\\frac{-(-6) - \sqrt{(-6)^2-4(3)(2)}}{2(3)}= \frac{3-\sqrt{3}}{3}$

finally the correct answer is $\frac{3\±\sqrt{3}}{3}$

5 0

2 years ago

Read 2 more answers

What is the area of a rectangle that is 1 1 4 1 4 1 1, start fraction, 1, divided by, 4, end fraction meters long and 3 4 4 3

hjlf

Answer:

4 11/16 m²

Step-by-step explanation:

The formula for the area of a rectangle = Length × Width

From the question:

Length = 1 1/4 m

Width = 3 3/4m

Area of the rectangle =

1 1/4 m × 3 3/4 m

= 5/4 m × 15/4 m

= 75/16 m²

= 4 11/16 m²

Area of the rectangle = 4 11/16 m²

7 0

2 years ago

15 is 30% of what number?

777dan777 [17]

15 is 30% of 50

Change the percentage to a decimal by dividing it over 100:
$\frac{30}{100} = 0.3$

Divide 15 over 0.3:
$\frac{15}{0.3} = 50$

3 0

3 years ago

Read 2 more answers

The function d(t)=-2t^2+9t+18 most closely represents the height(h) of the golf ball in feet after t seconds. How long is the go

Kobotan [32]

Answer:

Step-by-step explanation:

d(t)=-2t^2+9t+18

calculate the derivate : f'(t) = - 4t+9

f'(t) = 0 : - 4t+9= 0 so t = 9/4

the maximum value is f(9/4) = ....... continue

3 0

2 years ago