Kate wants to buy a scarf for $22. How much will the scarf cost if she buys it in Coconut Grove?

A vendor at a street fair sells popcorn in cones, all of height 9 inches. The

Tatiana [17]

Answer:

The sharing cone holds about 9 times more popcorn than the skinny cone.

Step-by-step explanation:

The volume of a cone is given by the following formula:

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

In which r is the radius and h is the height.

Two cones:

Both have the same height.

The sharing-size cone has 3 times the radius of the skinny-size cone.

Skinny:

radius r, height h. So

$V_{sk} = \frac{\pi r^{2}h}{3}$

Sharing size:

radius 3r, height h. So

$V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h$

About how many times more popcorn does the sharing cone hold than the skinny cone?

$r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9$

The sharing cone holds about 9 times more popcorn than the skinny cone.

3 0

3 years ago

Find the area of circle o if DCBO is a rectangle and DB measure 10 units

Dmitrij [34]

Answer:

$100\pi$

Step-by-step explanation:

Step 1: Identity the radius.

Since O is the center of the circle, and C and E lie on the circumference, OC and OE are the radii of the circle and thus,

OC=OE.

Step 2: Consider the rectangle.

All diagonals in a rectangle are congruent so this means

DB= OC ( OC is also a diagonal).

Thus, OC= 10 units.

Step 3: Analyze

So this means OE is also 10 units as well.

Since we know the length of the radius, Use the area of circle,

$\pi {r}^{2}$

$\pi( {10}^{2} ) = 100\pi$

So the area of a circle is 100 pi.

3 0

2 years ago

Read 2 more answers

Manuel and Carla were playing a "Guess My

Kisachek [45]

X-y=5

x times y= 84

-7 and -12

4 0

3 years ago

Great Falls is at approximately 47.5 degrees N, and 111.3 degrees W. Lemhi is approximately 45.5 degrees N, and 113.5 degrees W.

natka813 [3]

Answer:

The angle between Great Falls and Lemhi is approximately 3.02°

Step-by-step explanation:

The location parameters are;

The Great Falls location = 47.5° N, 111.3° W

The location of Lemhi = 45.5 °N and 113.5 °W

Therefore, we have;

The angle between the Great Falls and the poles, AP = 90° - 47.5° = 42.5°

The angle between Lemhi and the poles, PB = 90° - 45.5° = 44.5°

The angle between the lines of longitude, P = 113.5° - 113° = 0.5°

By the law of cosines for Sides of a spherical triangle, we have;

CosAB = cos AP·cosPB + sinAP·sinPB·cosP

Where;

AB = The angle between Great Falls and Lemhi

∴ CosAB = cos(47.5°) × cos(44.5°) + sin(47.5°) × sin(44.5°) × cos(0.5°) ≈ 0.9986

AB ≈ arccos(0.9986) ≈ 3.02°

The angle between Great Falls and Lemhi ≈ 3.02°

5 0

3 years ago

Evaluate g(p)h(p) by modeling or by using the distributive property.

lana66690 [7]

Answer:

g(p)h(p) = = p^4 + 2p^3 - 8p^2 -2p + 4

Step-by-step explanation:

Hello!

We will use the distributive property:

g(p) h(p) = ( p - 2 ) * ( p^3 + 4p^2 - 2 ) = ( p^3 + 4p^2 - 2 ) * ( p - 2 )

The distributive property allow us to multiply the first term (p^3 + 4p^2 - 2) by every member of the second member, that is p and -2.

g(p) h(p) = ( p^3 + 4p^2 - 2 ) * p + ( p^3 + 4p^2 - 2 ) * (-2)

Now we can do the same for the two resulting terms, that is, we can multiply every term in parenthesis ( p^3 + 4p^2 - 2 ) by the term on the rigth:

( p^3 + 4p^2 - 2 ) * p = (p^3)*p + (4p^2)*p - 2*p = p^4 + 4p^3 -2p

( p^3 + 4p^2 - 2 ) * (-2) = (p^3)*(-2) + (4p^2)*(-2)- 2*(-2) = -2p^3 - 8p^2 + 4

And now we can sum both terms and add monomials with the same exponent of t. Look at the underlined terms

g(p) h(p) = p^4 + 4p^3 -2p - 2p^3 - 8p^2 + 4 = p^4 +2p^3 -2p - 8p^2 + 4

= p^4 + 2p^3 - 8p^2 -2p + 4

3 0

3 years ago