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miskamm [114]
3 years ago
12

A model airplane flew a distance of 330 feet in 15 seconds. Select all unit rates that are equivalent to the speed of the model

plane. 12 mph, 1056 ft per min, 1320 ft per min, and 15 mph. I PUT IN 36 POINTS
Mathematics
2 answers:
mestny [16]3 years ago
8 0
Both are not equivlant to the top speed of the model plane because caculator op.
Ivahew [28]3 years ago
7 0

Answer:

Option C and D are equivalent to the speed of the model plane

Step-by-step explanation:

Distance  = 330 feet

Time = 15 seconds

Speed of airplane = \frac{Distance}{Time} =\frac{330}{15} feet / sec.

Convert it into miles per hour

1 feet = 0.000189394 miles

3600 seconds = 1 hour

So, 1 second = \frac{1}{3600}hours

Speed of airplane in miles /hr = \frac{330}{15} \times \frac{0.000189394}{\frac{1}{3600}}

Speed of airplane in miles /hr = 15.0000048

So, Speed of airplane in miles /hr is 15 miles per hour

Convert speed into feet per minute

60 seconds = 1 minute

1 minute = \frac{1}{60} minute

Speed of airplane in feet / minutes = \frac{330}{15}  \times \frac{1}{\frac{1}{60}}

Speed of airplane in feet / minutes = 1320 ft/min

So, Option C and D are equivalent to the speed of the model plane

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a^2 + b^2 = c^2

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70.56 + 70.56 = 141.12 ≈ 141

Then you must find the square root of 141 which is 11.874 ≈ 11.9

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5 0
3 years ago
Rewrite the Cartesian equation y=-3 as a polar equation.
andreev551 [17]

r

sin

θ

=

−

3

Explanation:

Imagine we have a point  

P

with Rectangular (also called Cartesian) coordinates  

(

x

,

y

)

and Polar coordinates  

(

r

,

θ

)

.

The following diagram will help us visualise the situation better:

https://keisan.casio.com/exec/system/1223526375

https://keisan.casio.com/exec/system/1223526375

We can see that a right triangle is formed with sides  

x

,  

y

and  

r

, as well as an angle  

θ

.

We have to find the relation between the Cartesian and Polar coordinates, respectively.

By Pythagora's theorem, we get the result

r

2

=

x

2

+

y

2

The only properties we can say about  

θ

are its trigonometric functions:

sin

θ

=

y

/

r

⇒

y

=

r

sin

θ

cos

θ

=

x

/

r

⇒

x

=

r

cos

θ

So we have the following relations:

⎧

⎪

⎨

⎪

⎩

r

2

=

x

2

+

y

2

y

=

r

sin

θ

x

=

r

cos

θ

Now, we can see that saying  

y

=

−

3

in the Rectangular system is equivalent to say

r

sin

θ

=

−

3

Answer link

Jim G.

May 19, 2018

r

=

−

3

sin

θ

Explanation:

to convert from  

cartesian to polar

∙

x

x

=

r

cos

θ

and  

y

=

r

sin

θ

⇒

r

sin

θ

=

−

3

⇒

r

=

−

3

sin

θ

4 0
3 years ago
What is 1/2 X (6 X 4)+3 + 2 Please show your work
exis [7]

Answer:

<h2>17</h2>

Step-by-step explanation:

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

\dfrac{1}{2}\times\underbrace{(6\times4)}_{1}+3+2\\\\=\underbrace{\dfrac{1}{2}\times24}_{2}+3+2\\\\=12+3+2=17

4 0
3 years ago
What is 7 less than y<br> In math
saw5 [17]

Answer:

The algebraic expression is "y - 7".

Step-by-step explanation:

"7 less" means "- 7", so you're subtracting 7 from y. You then write it as "y - 7".

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Answer:

4

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