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alex41 [277]
2 years ago
11

William can pack 60 toys in 4 hours. Find the unit rate with which he packs toys.

Mathematics
2 answers:
grandymaker [24]2 years ago
8 0
Answer is 15 toys/ hour
Reason

60 toys. X toys. Divide by 4 = 15
_______. ________
4 hours. 1 hour. Divide by 4 = 1

GREYUIT [131]2 years ago
4 0
The answe is 16 toys/hour
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5) Establish the indentity (cot + tan ) sin = sec . Show each step to justify your conclusion.
katen-ka-za [31]

Answer:

Step-by-step explanation:

Identities : -

cot = cos / sin

tan = sin / cos

( cot + tan ) sin = sec

LHS

= ( cot + tan ) sin

= ( ( cos / sin ) + ( sin / cos ) ) sin

= ( ( cos sin ) / sin ) + ( sin² / cos )

= cos + ( sin² / cos )

LCM = cos

= ( cos² / cos ) + ( sin² / cos )

= ( cos² + sin² ) / cos

Identity : -

cos² + sin² = 1

= 1 / cos

= sec

= RHS

Hence proved.

3 0
3 years ago
The table below shows the cube roots of different numbers:
Mila [183]

part A)

\bf \begin{array}{|c|cccccc|ll} \cline{1-7} x&8&27&64&125&&x\\ \cline{1-7} y&\stackrel{\sqrt[3]{8}}{2}&\stackrel{\sqrt[3]{27}}{3}&\stackrel{\sqrt[3]{64}}{4}&\stackrel{\sqrt[3]{125}}{5}&&\sqrt[3]{x} \\ \cline{1-7} \end{array}~\hspace{10em}y = \sqrt[3]{x}

part B)

f(x) = 10 + 20x

so if you rent the bike for a few hours that is

1 hr.............................10 + 20(1)

2 hrs..........................10 + 20(2)

3 hrs..........................10 + 20(3)

so the cost is really some fixed 10 + 20 bucks per hour, usually the 10 bucks is for some paperwork fee, so you go to the bike shop, and they'd say, ok is 10 bucks to set up a membership and 20 bucks per hour for using it, thereabouts.

f(100) = 10 + 20(100) => f(100) = 2010.

f(100), the cost of renting the bike for 100 hours.

4 0
3 years ago
Help ASAP I’ll mark you as brainlister
liraira [26]

Answer:

about 0.10 cents a unit

Step-by-step explanation:

If I'm wrong, I'm sorry!!

I hope you have a great day! Good luck with your math!

6 0
3 years ago
ANSWER ASAP!!! Find the area of the figure.
denis-greek [22]
Area= (3 √(3) × s^2) ÷ s
s= side length
area=(3 √(3) × 16^2) ÷ 16

area= 83.1384387633
7 0
3 years ago
Read 2 more answers
Somebody, please help
SashulF [63]
F(x) can be written as:
f(x) = Asin(2x); where A is the amplitude and the period of the function is half that of a normal sin function.
f(π/4) = 4
4 = Asin(2(π/4))
4 = Asin(π/2)
A = 4
Amplitude of g(x) = 1/2 * amplitude of f(x)
A for g(x) = 2
g(x) = 2sin(x)
5 0
3 years ago
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