Poor <span>Khianna. Let's help her out.
For the original recipe she needs </span>

cups of brown sugar but only has

So the fraction of the brown sugar she has is

She has to scale everything by a factor of

I won't multiply everything by 3/4 for you. 2 cups butter becomes 1 and a half cups butter, 1 tsp vanilla becomes 3/4 tsp, etc.
Use the Pythagorean Theorem.
a² + b² = c²
3² + b² = 19²
9 + b² = 361
b² = 352
b = 4√11
Now, solve for the remaining angles by using the trigonometric ratios:
Sine = opposite/hypotenuse
sin(A)= 3/19
sininverse(3/19) = 9.1 = angle A
180-9.1-90 = 80.9 = angle B
Answer:
D
Step-by-step explanation:
Ben is buying 30 juice boxes. Since each pack has 3 juice boxes, we can make it (30 / 3) so far. 30 / 3 is how many packs Ben buys. Now, since each pack is $1.25, we have to multiply 30 / 3 by 1.25.
Therefore, the answer is c = (30 / 3) * 1.25
I hope this helped and please mark me as brainliest!
Answer:

![x\in [5.55,6.45]](https://tex.z-dn.net/?f=x%5Cin%20%5B5.55%2C6.45%5D)
Step-by-step explanation:
<u>Absolute Value Inequality</u>
Assume the actual width of a safety belt strap for a certain automobile is x. We know the ideal width of the strap is 6 cm. This means the variation from the ideal width is x-6.
Note if x is less than 6, then the variation is negative. We usually don't care about the sign of the variation, just the number. That is why we need to use the absolute value function.
The variation (unsigned) from the ideal width is:

The question requires that the variation is at most 0.45 cm. That poses the inequality:

That is the range of acceptable widths. Let's now solve the inequality.
To solve an inequality for an absolute value less than a positive number N, we write:

This is a double inequality than can be easily solved by adding 6 to all the sides.

Operating:

That is the solution in inequality form. Expressing in interval form:
![\boxed{x\in [5.55,6.45]}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%5Cin%20%5B5.55%2C6.45%5D%7D)