Answer:
Length is 20 m and width is 4 m.
Step-by-step explanation:
Given:
Perimeter of the rectangular alley, 
Length is 5 times the width.
Let width be 
.
So, as per question,
Length,
Now, perimeter of rectangle is given as:
Plug in 48 for 
, 
for 
and for b.
Therefore, width is 4 m.
Length is 
m.
You subtract 38.75 from 46.5, which is 7.75. 7.75/46.5=about .16666, or 16.7 percent.
Answer:
cos^(-1)(12/13) = 22.62°
Step-by-step explanation:
Inverse trig functions are used to find angles. I was taught SOH CAH TOA: sine = opposite/hypotenuse, cosine = adjacent / hypotenuse, tan = opposite / adjacent.
Here, we have an adjacent side length and the hypotenuse. So we use inverse cosine.
We can solve this by finding one of the numbers first
Let the smaller number be y.
Since these 2 numbers are consecutive odd numbers, the larger number should be 2 more than the smaller one (y+2).
Therefore,
y + (y+2) = 284
2y +2 = 284
shift +2 to the other side and turn it into -2
2y = 284 - 2
2y = 282
shift x2 to the other side and turn it into /2
y = 282/2
y = 141
Now we got the smaller number, which is 141, we can also find the larger number by adding 2 to it. 141+2 = 143,
Therefore, your answer is 141 and 143
Answer:
w = 0 , -3 , 3
Step-by-step explanation:
w³ - 9w = 0
w(w² - 9) = 0
w(w² - 3²) = 0
w(w+3)(w-3) = 0 {a² - b² = (a + b)(a - b) }
w = 0 ; w + 3 = 0 ; w - 3 = 0
w = -3 ; w = 3
w = 0 , -3 , 3
