All categories

3 years ago

The circumference of the circular table on Colton’s porch is 72π inches. What is the radius of the table

Mathematics

2 answers:

Irina-Kira [14]3 years ago

8 0

Answer:

Step-by-step explanation:

The formula for circumference is: C = 2πr

π = 3.14

r = radius.

The Circumference given to us is 72π. Plug in 72π for C

72π = 2πr

Isolate the variable, r. Divide 2 and π from both sides

(72π)/2π = (2πr)/2π

r = (72π)/2π

r = 36

36 in. is your answer

Levart [38]3 years ago

8 0

Answer:

72pi/2pi or 226.19/6.28

=36.02 in.

Step-by-step explanation:

You might be interested in

1 Point

I am Lyosha [343]

Option C

The ratio for the volumes of two similar cylinders is 8 : 27

<h3><u>Solution:</u></h3>

Let there are two cylinder of heights "h" and "H"

Also radius to be "r" and "R"

$\text { Volume of a cylinder }=\pi r^{2} h$

Where π = 3.14 , r is the radius and h is the height

Now the ratio of their heights and radii is 2:3 .i.e

$\frac{\mathrm{r}}{R}=\frac{\mathrm{h}}{H}=\frac{2}{3}$

<em><u>Ratio for the volumes of two cylinders</u></em>

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{\pi r^{2} h}{\pi R^{2} H}$

Cancelling the common terms, we get

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{\mathrm{r}}{R}\right)^{2} \times\left(\frac{\mathrm{h}}{\mathrm{H}}\right)$

Substituting we get,

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{2}{3}\right)^{2} \times\left(\frac{2}{3}\right)$

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{2 \times 2 \times 2}{3 \times 3 \times 3}$

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{8}{27}$

Hence, the ratio of volume of two cylinders is 8 : 27

7 0

3 years ago

Given that the measure of ∠x is 110°, and the measure of ∠y is 59°, find the measure of ∠z.

ch4aika [34]

180-110=70
180-(70+59)=180-129=51
Z=51 im p sure

6 0

3 years ago

For any perfect square trinomial (quadratic), the constant term (last term) must be positive.

Ronch [10]

Answer:

For the perfect square trinomial (quadratic) i.e. $\left(x\:+\:3\right)^2$ , the constant term (last term) is positive.

Step-by-step explanation:

"Perfect square trinomials" are termed as the quadratics that are the outcomes of squaring binomials.

For example:

$\left(x\:+\:3\right)^2$

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2$

$a=x,\:\:b=3$

$=x^2+2x\cdot \:3+3^2$

$=x^2+6x+9$

Therefore, for the perfect square trinomial (quadratic) i.e. $\left(x\:+\:3\right)^2$ , the constant term (last term) is positive.

5 0

3 years ago

Please help me!!!!!!!!!!!!!!

arsen [322]

Ans

184 sq meter

Step-by-step explanation:

Area of the cuboid box = (2*FA)+(2*SA)+(2*TA)

Where FA= Front face area

SA= Side face area

TA= top face are

Here FA= length * breadth = 10*6=60 sq meter

SA= 10*2= 20 sq meter

TA= 6*2= 12 sq meter

So area of box= 2*60+2*20+2*12= 184 sq meter

7 0

3 years ago

- Mona Allen wants to buy a bed that costs $695. The city sales tax rate is 7%. In a nearby city the sales tax rate is 4%. How m

pentagon [3]

Answer:

$20.85 less.

Step-by-step explanation:

City sales:

7% tax = 48.65

total bed cost = $743.65

Nearby City:

4% tax = 27.8

total bed cost = $722.8

city sale - nearby city

743.65 - 722.8

=20.85

3 0

3 years ago