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3 years ago

Find the volume of the cone to the nearest whole number. Radius is 2 and height is 4

Mathematics

1 answer:

KonstantinChe [14]3 years ago

6 0

Volume of the cone is 17 cm³

Step-by-step explanation:

Step 1: Volume of a cone = 1/3 πr²h. Find volume of the cone where r = 2 inches and h = 4 cm.

Volume = 1/3 × 3.14 × 2² × 4

= 16.75 cm³ ≈ 17 cm³ (rounding off to nearest whole number)

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3x-8<=23 AND -4x+26>=6

bazaltina [42]

Answer:

Step 1: Solve for x in the first equation

$3x-8+8\leq 23+8$

$3x\leq 31$

$3x/3\leq 31/3$

$x\leq \frac{31}{3}$

Step 2: Solve for x in the second equation

$-4x + 26-26 \geq 6-26$

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$-4x/-4\geq -20/-4$

Since you divide by a negative, you must flip the sign.

$x\leq 5$

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3 years ago

Can you please help me with these two problems. I've been struggling on this topic for a while now!

Nadya [2.5K]

First Question:

To find the value of K when F is 5 you must plug in 5 for F and solve for K:

5 = $\frac{9}{5}$ k - 455.67

To do this first add 455.67 to both sides (what you do on one side you must do to the other). Since 455.67 is being subtracted on the right side of the equation, addition (the opposite of subtraction) will cancel it out (make it zero) from the right side and bring it over to the left side.

5 + 455.67= $\frac{9}{5}$ k - 455.67 + 455.67

460.67 = $\frac{9}{5}$ k + 0

460.67 = $\frac{9}{5}$ k

Now we must completely isolate k by removing $\frac{9}{5}$ from the right side of the equation. In order to do this you must multiply both sides of the equation by $\frac{5}{9}$ . This is simply the reciprocal of $\frac{9}{5}$ . Multiplying a fraction by its reciprocal always equals 1

460.67 * $\frac{5}{9}$ = $\frac{9}{5}$ k * $\frac{5}{9}$

$\frac{460.67 * 5}{9} =\frac{9*5}{5*9} k$

$\frac{2303.35}{9} = \frac{45}{45}k$

255.927 = k

k ≈ 255.93

Second Question:

y = - $\frac{1}{4} (x + 8) + 2$

X-intercept is set up like so: (0, y). The x value of the x-intercept will ALWAYS be zero. Knowing this you can already plug in zero for the x-value in the equation given above:

y = - $\frac{1}{4} (0 + 8) + 2$

Now all we need to do is solve for the y-value! To do this you must solve using the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction) REMEMBER: IF NOT APPLICABLE TO THE EQUATION YOU MAY SKIP THAT STEP IN PEMDAS .

y = - $\frac{1}{4} (0 + 8) + 2$

Parentheses...

y = - $\frac{1}{4} (0 + 8) + 2$

0 + 8 <<<In the parentheses so you must solve first

so...

y = - $\frac{1}{4} (8) + 2$