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AnnyKZ [126]
3 years ago
14

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.
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30 pts ! The height of the Ferris wheel in feet can be represented by the function 50 cos (π/15(x-10))+52 with time in x seconds
Dahasolnce [82]

h = 50 cos ( pie(x - 10 )/15 ) + 52

80 = 50 cos ( pie( x - 10 )/15 ) + 52

80 - 52 = 50 cos ( pie( x - 10 )/15 )

28 = 50 cos ( pie( x - 10 )/15 )

cos ( pie( x - 10 )/15 ) = 28/50

cos ( pie( x - 10 )/15 ) = 56/100

cos ( pie( x - 10 )/15 ) = cos ( 56 )

cos ( pie( x - 10 )/15 ) = cos ( 0.3111 pie )

Thus ;

pie( x - 10 )/15 = 0.3111 pie

( x - 10 )/15 = 0.3111

x - 10 = 15 × 0.3111

x - 10 = 4.6665

x = 10 + 4.6665

x = 14.6665 [ approximately ]

Thus the correct answer is exactly what u chose goodjob .....

7 0
3 years ago
28.5 g of iron shot is added to a graduated cylinder containing 45.50 mL of water. The water level rises to the 49.10 mL mark, f
Andrej [43]

Answer:

7.92

Step-by-step explanation:

5 0
3 years ago
Use compensation to write 3 different equations with the same sum as 38+16. Then solve.
konstantin123 [22]
10+44
5+49
7+47 your answers
3 0
3 years ago
Read 2 more answers
What is the length of AC?<br>pls help!​
ollegr [7]

Answer:

16

Step-by-step explanation:

8 + 8 (same length)

= 16

7 0
3 years ago
The measure of an angle is 8 degrees less than three times the measure of another angle. If the two angles are supplementary (tw
Kitty [74]

Answer:

The measure of the larger is 133^{\circ}.

Step-by-step explanation:

Given:

The measure of an angle is 8 degrees less than three times the measure of another angle.

The two angles are supplementary.

To find: The measure of the larger angle.

Solution:

Let the measure of the smaller angle be x^{\circ}.

Then the measure of the larger angle be 3x^{\circ}-8^{\circ}.

The two angles are supplementary, so their sum is 180^{\circ}.

So, x^{\circ}+3x^{\circ}-8^{\circ}=180^{\circ}

\Rightarrow 4x^{\circ}-8^{\circ}=180^{\circ}

\Rightarrow 4x^{\circ}=180^{\circ}+8^{\circ}

\Rightarrow 4x^{\circ}=188^{\circ}

\Rightarrow x^{\circ}=\frac{188^{\circ}}{4}

\Rightarrow x^{\circ}=47^{\circ}

So, the measure of the smaller angle is 47^{\circ}.

And, the measure of the larger angle is 3\times47^{\circ}-8^{\circ}=133^{\circ}.

Hence, the measure of the larger is 133^{\circ}.

3 0
3 years ago
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