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miss Akunina [59]

3 years ago

9

A circle has a diameter of 26 units. What is the area of the circle to the nearest hundredth of a square unit? Use 3.14 for pi.

*

1 answer:

Sholpan [36]3 years ago

5 0

A=pi(r)^2

We have the diameter. To get the radius divide it by 2.

The radius now is equal = 13.
Pi=3.14

Distribute it to the equation... A=3.14(13)^2

The area is equal = 530.66

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ss7ja [257]

Answer:

$-3 \le h \le 1$ .

Step-by-step explanation:

Apply the property of absolute values: if $a \ge 0$ , then $|x| \le a \iff -a \le x \le a$ . By this property, $|- 3\, h - 6 | \le 3$ is equivalent to $-3 \le -3\, h - 6\le 3$ . That's the same as saying that $-3\, h - 6 \ge -3$ and $-3\, h - 6 \le 3$ .

Add $6$ to both sides of both inequalities:

$-3\, h \ge 3$ and $-3\, h \le 9$ .

Divide both sides of both inequalities by $(-3)$ . Note that because $-3 < 0$ , dividing both sides of an equality by this number will flip the direction of the inequality sign.

$-3\, h \ge 3$ would become $h \le -1$ .
$-3\, h \le 9$ would become $h \ge -3$ .

Both inequalities are supposed to be true. Combining the two inequalities to obtain:

$-3 \le h \le 1$ .

7 0

4 years ago

The volume of a cone is 50 pi cubic feet. Its height is 6 feet. In feet, what is the radius of the cone? Round the answer to the

prohojiy [21]

Answer:

The radius of the cone is $5\ ft$

Step-by-step explanation:

we know that

The volume of a cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

In this problem we have

$V=50\pi\ ft^{3}$

$h=6\ ft$

substitute in the formula and solve for r

$50\pi=\frac{1}{3}\pi r^{2}(6)$

Simplify

$25=r^{2}$

square root both sides

$r=5\ ft$

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lubasha [3.4K]

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Step-by-step explanation:

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3 years ago