100 divided by 4 which would equal 25.
I got that because I multiplied first the subtracted, finally dividing 100 by 4 which would equal 25.
I hope that helped!
Answer:
<em><u>2/10 and 3/10</u></em>
Step-by-step explanation:
Hello!
The best way of finding common denominators is using their factors!
(of denominators)
10 : 1, 2, 5, 10
2 : 1, 2
We also can see that 10 is divisible by 2.
For that reason, 1/2 is equivalent to 2 * 10 ÷ 2.
That's 10.
So <em>5/10 and 3/10</em> have a common denominator 10.
Hope this helps!
Okay, to start, we can multiply the $2 coupon by two because that is the amount of pairs she is going to by. So it would be $4 off. Now, if all of the shoes she purchased the same price, this is made a little easier. We can simply take $80 and $122 and add it by the $4 discount. Our new numbers would be $84 and $126. Now in order for this to work we would want all the numbers to be the same. We take $84 and divide it by three pairs, to get the values. For the least amount she can spend per pair is $28 and the most amount she can spend per pair is $42.
Answer:
A) sin θ = 3/5
B) tan θ = 3/4
C) csc θ = 5/3
D) sec θ = 5/4
E) cot θ = 4/3
Step-by-step explanation:
We are told that cos θ = 4/5
That θ is the acute angle of a right angle triangle.
To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.
Now, the identity cos θ means adjacent/hypotenuse.
Thus, adjacent side = 4
Hypotenuse = 5
Using pythagoras theorem, we can find the third side which is called opposite;
Opposite = √(5² - 4²)
Opposite = √(25 - 16)
Opposite = √9
Opposite = 3
A) sin θ
Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;
sin θ = 3/5
B) tan θ
Trigonometric ratio for tan θ is opposite/adjacent. Thus;
tan θ = 3/4
C) csc θ
Trigonometric ratio for csc θ is 1/sin θ. Thus;
csc θ = 1/(3/5)
csc θ = 5/3
D) sec θ
Trigonometric ratio for sec θ is 1/cos θ. Thus;
sec θ = 1/(4/5)
sec θ = 5/4
E) cot θ
Trigonometric ratio for cot θ is 1/tan θ. Thus;
cot θ = 1/(3/4)
cot θ = 4/3
Answer:
Step-by-step explanation:
Instead, since the divisor is in the form of 
, use what is called Synthetic Division. Remember, in this formula, 
gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 −5 7 −12
↓ 4 −4 12
_______________
1 −1 3 0 →
You start by placing the 
in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an 
, the −1 [
] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of .
I am joyous to assist you anytime.
