Answer:
927.0 cm²
Step-by-step explanation:
Step 1: find Z
m < Z = 180 - (28 + 118) (sum of ∆)
= 180 - 146
Z = 34°
Step 2: Find side XY using the law of sines
![\frac{XY}{sin(34)} = \frac{42}{sin(28)}](https://tex.z-dn.net/?f=%20%5Cfrac%7BXY%7D%7Bsin%2834%29%7D%20%3D%20%5Cfrac%7B42%7D%7Bsin%2828%29%7D%20%20)
Cross multiply
![XY*sin(28) = 42*sin(34)](https://tex.z-dn.net/?f=%20XY%2Asin%2828%29%20%3D%2042%2Asin%2834%29%20)
![XY*0.469 = 42*0.559](https://tex.z-dn.net/?f=XY%2A0.469%20%3D%2042%2A0.559)
Divide both sides by 0.469
![\frac{XY*0.469}{0.469} = \frac{42*0.559}{0.469}](https://tex.z-dn.net/?f=%5Cfrac%7BXY%2A0.469%7D%7B0.469%7D%20%3D%20%5Cfrac%7B42%2A0.559%7D%7B0.469%7D)
![XY = 50.06](https://tex.z-dn.net/?f=XY%20%3D%2050.06)
XY ≈ 50 cm
Step 3: find the area.
Area of ∆ = ½*XY*YZ*sin(Y)
XY ≈ 50 cm
= ½*50*42*sin(118)
= 25*42*0.8829
Area = 927.045
Area ≈ 927.0 cm² (nearest tenth)
Answer: 3(9b+8)
Step-by-step explanation: Have a brilliant day of learning!-Lily ^-^
You want to multiply together the number of possible choices for each digit in the code.
0-9 is ten possible numbers, since repetitions are allowed (example code 2,2,2,2) there are ten possible choices per digit in the code.
10*10*10*10 = 10,000 four digit coded possible
Answer:
This question needs rephrasing. It makes no sense.
Step-by-step explanation:
Quadratic is in the form
ax^2+bx+c=0
so distribute and stuff and simplify
remember
a(b+c)=ab+ac
(x+2)^2+5(x+2)-6=0
remember order of opertaions
(x+2)(x+2)+5(x+2)-6=0
x^2+4x+4+5x+10-6=0
add like terms
x^2+9x+8=0