Answer:
Carly didn't make a mistake
Step-by-step explanation:
24 / (4 x 2 - 5)
PEMDAS
P: Parenthesis = (4 x 2 - 5)
E: Exponents: None
M: Multiplication = (4 x 2 - 5) = (8 - 5)
D: Division = Not yet, because the Parenthesis is not done.
A: Adding = None
S: Subtracting = (8 - 5) = 3
Divide = 24/3 = 8
The area of the triangle XYZ is 29.1 square units
Explanation:
Given that the measurements of the sides of the triangle XYZ are
,
and ![m\angle X=34^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%20X%3D34%5E%7B%5Ccirc%7D)
We need to determine the area of the triangle XYZ
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
![Area=\frac{1}{2} yz \ sin X](https://tex.z-dn.net/?f=Area%3D%5Cfrac%7B1%7D%7B2%7D%20yz%20%5C%20sin%20X)
Substituting the values, we get,
![Area=\frac{1}{2}(13)(8) \ sin 34](https://tex.z-dn.net/?f=Area%3D%5Cfrac%7B1%7D%7B2%7D%2813%29%288%29%20%5C%20sin%2034)
Simplifying, we get,
![Area=\frac{1}{2}(104) (0.56)](https://tex.z-dn.net/?f=Area%3D%5Cfrac%7B1%7D%7B2%7D%28104%29%20%280.56%29)
Multiplying the terms, we get,
![Area=\frac{58.24}{2}](https://tex.z-dn.net/?f=Area%3D%5Cfrac%7B58.24%7D%7B2%7D)
Dividing the terms, we have,
![Area=29.12](https://tex.z-dn.net/?f=Area%3D29.12)
Rounding off to the nearest tenth, we get,
![\text {Area}=29.1](https://tex.z-dn.net/?f=%5Ctext%20%7BArea%7D%3D29.1)
Thus, the area of the triangle XYZ is 29.1 square units.
![8.5(3.5 + x)](https://tex.z-dn.net/?f=8.5%283.5%20%2B%20x%29)
![(8.5 \times 3.5) + (8.5 \times x)](https://tex.z-dn.net/?f=%288.5%20%5Ctimes%203.5%29%20%2B%20%288.5%20%5Ctimes%20x%29)
![29.75 + 8.5x](https://tex.z-dn.net/?f=29.75%20%2B%208.5x)
I honestly don't know what to do for b. Maybe it tells us that the minimum area possible is 38.25 in²? or maybe it tells us that the area of just the original photo is 29.75 in²? I don't know.
Total amount = Pe^(rt)
where
P=principal
e=2.7182818284...
r=0.035
t=3 (years)
Total amount
= 7565(e^(0.035*3)
=$ 8402.53
The thing is, you can't find the square root of a negative number, no matter what. Here's why:
Finding the square root of a number is essentially just finding which number, when squared, ends up to the original number. If you square a negative number, you will get a positive number as the outcome.
But the square root of positive 100 is 10, if that helps you.