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3 years ago

Can a 14 inch umbrella fit inside a suitcase that has dimensions of 9" x 12"? Explain.

Mathematics

2 answers:

inessss [21]3 years ago

5 0

Yes. The umbrella is smaller than the suitcase. The suitcase is 81'^2, but the umbrella is 14

MrRa [10]3 years ago

4 0

I will assume that when you say 14", you are referring to the diameter of the open umbrella.
When an umbrella is folded down, really the only dimension we need to figure out is the distance from top to bottom - which, when spread open, is the same distance as the radius.
To find the radius: 14 divided by 2 = 7.
No matter which way you turn the umbrella - vertical, horizontal, or diagonal, 7 is smaller than 9 or 12. So yes, you can fit the umbrella in the suitcase when it is closed.

You might be interested in

Find the volume of a cone with radius 4 inches and height 5 inches. Round your answer to two decimal places

faltersainse [42]

Answer:

Volume of the cone = $83.73$ cubic inches

Step-by-step explanation:

Given:

Radius of the cone= $4 inches$

Height of the cone= $5 inches$

Volume of a cone(V) :

$\pi *r^2*\frac{h}{3}$

Putting the given values in the formula:

Volume of the cone:

$3.14*4*4*\frac{5 }{3}$ : $\pi =\frac{22}{7} =3.14$

$16*3.14*\frac{5}{3}$

$83.73$ cubic inches

So, the volume of the cone up to two decimal places is $83.73$ cubic inches

3 0

3 years ago

A rectangular prism has a volume of 24 in³. For a school project, Sharon applies a scale factor of 3 to the prism.

siniylev [52]

Answer:

The volume ratio of the enlarged prism to the original prism is equal to

$27$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z------> the scale factor

x-----> the volume of the enlarged prism

y-----> the volume of the original prism

$z^{3}=\frac{x}{y}$

we have

$z=3$

$y=24\ in^{3}$

substitute

$3^{3}=\frac{x}{24}$

$x=(27)(24)=648\ in^{3}$ -----> volume of the enlarged prism

the volume ratio of the enlarged prism to the original prism is equal to

$3^{3}=27$

Verify

$\frac{648}{24}=27$ -----> is correct

6 0

3 years ago

A right circular cylinder has a height of 19 3/4 ft and a diameter 1 2\5 times its height.

alexira [117]

Answer:

Volume of cylinder is 34833.21 ft³

Step-by-step explanation:

Given : A right circular cylinder having height $19\frac{3}{4}$ ft and diameter $\frac{12}{5}$ times its height.

Given : diameter $\frac{12}{5}$ times its height that is

diameter $\frac{12}{5}$ times $19\frac{3}{4}$ that is

Diameter = $\frac{12}{5} \times \frac{79}{4}$

Diameter = $\frac{237}{5}$ ft

Radius is half of diameter,

Radius = $\frac{1}{2} \times \frac{237}{5}=\frac{237}{10}$ ft

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

Substitute the values, we get,

$\text{Volume of Cylinder}= \pi (\frac{237}{10})^2 \times \frac{79}{4}$

$\text{Volume of Cylinder}= \times 3.14 \times (23.7)^2 \times 19.75$

$\text{Volume of Cylinder}=34833.21$

Thus, volume of cylinder is 34833.21 ft³

6 0

3 years ago

A taxi charges a flat fee of $4.00 plus $3.25 per mile. How much will it cost to travel 8.3 miles? Round your answer to the near

NikAS [45]

Answer:

$30.98

Step-by-step explanation:

Make an expression

It costs 3.25 per mile(x), and there is a cost of 4 no matter how many miles are traveled.

3.25x+4

To find how much 8.3 miles will cost, substitute 8.3 in for x

3.25x+4

3.25(8.3)+4

Multiply

26.975+4

Add

30.975

Round to the nearest cent/hundreth

30.98

So, it costs $30.98 to travel 8.3 miles

Hope this helps! :)

5 0

4 years ago

3/4(-10+2/5).......................

Ne4ueva [31]

3/4(-10+2/5)

first do parenthesis

factor out -1 inside the parenthesis

3/4 * (-1*(10-2/5))

borrow from the 10

3/4 * (-1*( 9 5/5-2/5))

3/4 * -1(9 3/5)

change the mixed number to an improper fraction

3/4 * -1 ((5*9+3)/5)

3/4 * -1(48/5)

3/4 * (-48/5)

-144/20

divide by 4

-36/5

-7 r 1

-7 1/5

6 0

3 years ago