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xenn [34]
3 years ago
6

What is the median of the lengths of Kate's workout

Mathematics
1 answer:
Alik [6]3 years ago
4 0
Arranging them in ascending order :
21 , 21 , 30 , 44,  49,  52


Median = (30 + 44) ÷ 2
Median = 37 mins

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Answer: Median = 37 mins (Answer D)
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A pole that is 3.1m tall casts a shadow that is 1.46m long. At the same time, a nearby building casts a shadow that is 36.75m lo
Mademuasel [1]
You have to find the angle of sunlight and the pole , which then cast a shadow
length of the pole is equal to 3.1m
creating a hypotenuse of 4.52m
the angle will be
[email protected] = opposite side / hypotenuse
= 1.46/4.52
= 0.32 that's 18.66 °
now for the building sin18.66° = opposite/hypotenuse
0.32 = 36.75/ hypotenuse
hypotenuse = 114.84 m
thus using Pythagoras theorem
114.84*114.84 = 36.75*36.75 + x^2
which comes around = 108.8 roughly 109 metres long
4 0
3 years ago
A. 12 + 4x = 6x + 10 – 2x
GalinKa [24]

An equation has infinitely many solutions if it can be manipulated all the way to an identity (i.e. an equality where the right and left hand side are the same). We have:

A) 12+4x=6x+10-2x \iff 12+4x=10+4x \iff 12=10

which is impossible

B) 5x+14-4x=23+x-9 \iff x+14 = x+14

which is an equality

C) x+9-0.8x=5.2x+17-8\iff 0.2x+9=5.2x+9 \iff 0.2x=5.2x\iff x=0

which has a unique solution

D) 4x-2x=20 \iff 2x=20 \iff x=10

which has a unique solution

3 0
3 years ago
Suppose f is a function with exponential growth and f(0)=1. Explain why f can be represented by a formula of the form
galben [10]

We are supposed to explain why the given function can be expressed in form f(x)=b^{x}, when f(0)=1.

Since the given function is an exponential function we can express it as  f(x)=a(b)^{x}.

Now let us substitute x=0 in the given function,  

f(x)=b^{x}

f(0)=b^{0}  

f(0)=1  

Let us substitute x=0 in our function.    

f(0) = a(b)^{0}    

f(0) = a\cdot 1                    

f(0)=a  

Upon substituting a=1 in our function we will get,

f(x) = 1(b)^{x}

f(x) =(b)^{x}

Therefore, our function f can be represented by the formula of the form f(x)=b^{x}.

7 0
3 years ago
Read 2 more answers
What is 1/5 x 35 ?<br><br><br><br> thankyou :D
Aleksandr-060686 [28]

Answer:

7

you can alway convert the fraction to a decimal so it'll be

1/5(1 divided by 5)=0.2

0.2*35=7

7 0
3 years ago
Read 2 more answers
The bots are on a roll today
antoniya [11.8K]

Answer:

YESSSSS

Step-by-step explanation:

7 0
2 years ago
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