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Vanyuwa [196]
3 years ago
14

How do I find the answer to this? I’m struggling.

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
8 0
Ok. Add the hours worked that week. You get 41.75

He makes 11.50 for the first 40 hours so multiply those. You get $460.

There are 1.75 hours he gets overtime for. So multiply 1.75(11.50)(1.5). You’ll get $30.19. That’s his overtone pay so add it to the 460.

$490.19.
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Based on Pythagorean identities, which equation is true? A. Sin^2 theta -1= cos^2 theta B. Sec^2 theta-tan^2 theta= -1 C. -cos^2
Arturiano [62]

Answer:

D

Step-by-step explanation:

our basic Pythagorean identity is cos²(x) + sin²(x) = 1

we can derive the 2 other using the listed above.

1. (cos²(x) + sin²(x))/cos²(x) = 1/cos²(x)

1 + tan²(x) = sec²(x)

2.(cos²(x) + sin²(x))/sin²(x) = 1/sin²(x)

cot²(x) + 1 = csc²(x)

A. sin^2 theta -1= cos^2 theta

this is false

cos²(x) + sin²(x) = 1

isolating cos²(x)

cos²(x) = 1-sin²(x), not equal to sin²(x)-1

B. Sec^2 theta-tan^2 theta= -1

1 + tan²(x) = sec²(x)

sec²(x)-tan(x) = 1, not -1

false

C. -cos^2 theta-1= sin^2

cos²(x) + sin²(x) = 1

sin²(x) = 1-cos²(x), our 1 is positive not negative, so false

D. Cot^2 theta - csc^2 theta=-1

cot²(x) + 1 = csc²(x)

isolating 1

1 = csc²(x) - cot²(x)

multiplying both sides by -1

-1 = cot²(x) - csc²(x)

TRUE

3 0
3 years ago
Three consecutive integers can be represented by the variable n, n+1 and n+2. If the sum of three consecutive integers is 57, wh
pashok25 [27]
You have some unknown integer n, and you know that adding this and the next two integers, n+1 and n+2, gives a total of 57.

This means

n+(n+1)+(n+2)=57

The task is to find all three unknown integers. Notice that if you know the value of n, then you pretty much know the value of the other three integers.

To find n, solve the equation above:

n+(n+1)+(n+2)=3n+3=57\implies 3n=54\implies n=\dfrac{54}3=18

So if 18 is the first integer, then others must be 19 and 20.
7 0
3 years ago
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caffeine takes a certain amount of time to leave your system if you drink 3 cups of coffee in the morning, the function that rep
k0ka [10]

Answer:

3

Step-by-step explanation:

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3 years ago
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(2.4-(0.3-3.21)/2+0.44/(-2))/2/5
Taya2010 [7]
The answer would be 0.3635
7 0
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Since 12 friends share four pizzas equally,

3 friends share a pizza equally.

Hence, each friend gets 1/3 of a pizza.

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3 years ago
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