Answer:
The average speed is:
Step-by-step explanation:
The average speed equation is given by:
Were:
- Δx is the displacement (225 miles)
- Δt is the change in time (3 hours)
Then we have:
I hope it helps you!
Hi there!
Since the formula for finding the perimeter of a rectangle is length×2 + width × 2, we can follow this rule.
2 (4x + 5) + 2 (8x - 4)
= 8x + 10 + 16x - 8
= 24x + 2
So, the perimeter is 24x + 2.
Hope this helps!
Hello it’s 25degree brother here’s the solution
Answer:
Step-by-step explanation:
![3\log_5(x-10)-\dfrac{1}{2}\log_54=5\log_52\\\\\text{Domain:}\ x-10>0\to x>10\\\\\text{use}\\\\\log_ab^n=n\log_ab\\\\\log_ab-\log_ac=\log_a\left(\dfrac{b}{c}\right)\\========================\\\\\log_5(x-10)^3-\log_54^\frac{1}{2}=\log_52^5\qquad\text{use}\ a^\frac{1}{2}=\sqrt{a}\\\\\log_5(x-10)^3-\log_5\sqrt4=\log_532\\\\\log_5(x-10)^3-\log_52=\log_532\\\\\log_5\dfrac{(x-10)^3}{2}=\log_532\iff\dfrac{(x-10)^3}{2}=32\qquad\text{multiply both sides by 2}\\\\(x-10)^3=64\to x-10=\sqrt[3]{64}\\\\x-10=4\qquad\text{add 10 to both sides}\\\\x=14\in D](https://tex.z-dn.net/?f=3%5Clog_5%28x-10%29-%5Cdfrac%7B1%7D%7B2%7D%5Clog_54%3D5%5Clog_52%5C%5C%5C%5C%5Ctext%7BDomain%3A%7D%5C%20x-10%3E0%5Cto%20x%3E10%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%5C%5C%5C%5Clog_ab%5En%3Dn%5Clog_ab%5C%5C%5C%5C%5Clog_ab-%5Clog_ac%3D%5Clog_a%5Cleft%28%5Cdfrac%7Bb%7D%7Bc%7D%5Cright%29%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%5C%5C%5C%5C%5Clog_5%28x-10%29%5E3-%5Clog_54%5E%5Cfrac%7B1%7D%7B2%7D%3D%5Clog_52%5E5%5Cqquad%5Ctext%7Buse%7D%5C%20a%5E%5Cfrac%7B1%7D%7B2%7D%3D%5Csqrt%7Ba%7D%5C%5C%5C%5C%5Clog_5%28x-10%29%5E3-%5Clog_5%5Csqrt4%3D%5Clog_532%5C%5C%5C%5C%5Clog_5%28x-10%29%5E3-%5Clog_52%3D%5Clog_532%5C%5C%5C%5C%5Clog_5%5Cdfrac%7B%28x-10%29%5E3%7D%7B2%7D%3D%5Clog_532%5Ciff%5Cdfrac%7B%28x-10%29%5E3%7D%7B2%7D%3D32%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%202%7D%5C%5C%5C%5C%28x-10%29%5E3%3D64%5Cto%20x-10%3D%5Csqrt%5B3%5D%7B64%7D%5C%5C%5C%5Cx-10%3D4%5Cqquad%5Ctext%7Badd%2010%20to%20both%20sides%7D%5C%5C%5C%5Cx%3D14%5Cin%20D)
Answer:
the question is missing the numbers, so I looked for a similar one and found that screens back in 2017 had a 16:9 ratio and since then it changed to 18.5:9 ratio
the area of the screen is b x a x 0.5
we can form triangles:
old aspect ratio (16:9):
a = 1.778b
h = √(a² + b²)
5.8 = √[(1.778b)² + b²]
5.8 = √(3.16b² + b²)
5.8² = 4.16b²
33.64 = 4.16b²
b² = 33.64 / 4.16 = 8.0865
b = √8.0865 = 2.8437
a = 2.8437 x 1.778 = 5.056
area = 2.8437 x 5.056 x 0.5 = 7.19 in²
new aspect ratio (18.5:9):
a = 2.0556b
h = √(a² + b²)
5.8 = √[(2.0556b)² + b²]
5.8 = √(4.2253b² + b²)
5.8² = 5.2253b²
33.64 = 5.2253b²
b² = 33.64 / 5.2253 = 6.4379
b = √6.4379 = 2.5373
a = 2.5373 x 2.0556 = 5.2157
area = 2.5373 x 5.2157 x 0.5 = 6.62 in²
the actual screen area decreased by 0.57 in² or 7.93%
