Answer:
The width is 16 inches while the length is 24 inches.
Step-by-step explanation:
We are given that the length (L) is 8 more than it's width (W).
The equation for this is: L=8+W.
We are given the perimeter is 80.
The equation for this is 2L+2W=80.
Each term here is even so I'm going to divide both sides by 2: L+W=40.
My system to solve is:
L=8+W
L+W=40
I'm going to plug the first equation into the second giving me:
(8+W)+W=40
Drop the (), don't really need:
8+W+W=40
Combine like terms:
8+2W=40
Subtract 8 on both sides:
2W=32
Divide both sides by 2:
W=32/2
Simplify:
W=16
So if W=16 and L=8+W then L=8+16=24.
The width is 16 inches while the length is 24 inches.
Answer:
Hence x = y = 2
Step-by-step explanation:
Using the SOH CAH TOA identity
Hypotenuse = 2√2
Opposite = x
theta = 45
Sin theta = opp/hyp
Sin 45 =x/2√2
1/√2 = x/2√2
x = 2√2 * 1/√2
x = 2
To get y we will use the pythagoras theorem;
(2√2)² = x² +y²
(2√2)² = 2²+y²
8 = 4 + y²
y² = 8-4
y² = 4
y = √4
y = 2
Hence x = y = 2
Noooooooooooooooooooooooo
100 is the best sample size
According to sources, the most probable answer to this query is 100 samples. Sample size determine the amount of subjects needed for the study to have an intended effect
Thank you for your question. Please don't hesitate to ask in Brainly your queries.
the product between the mixed numbers is equal to 12 and 1 over 60, which is the first option.
<h3>
How to find the product between two mixed numbers?</h3>
A mixed number is a number that is written as the addition of a whole number and an improper fraction.
Remember that the mixed number "negative two and one third" is written as:
-2 ¹/₃ = (-2 - 1/3)
Here we want to solve the product:
(-2 - 1/3)*(-5 - 15/100)
Notice that all the signs are negative, so the outcome will be positive:
(-2 - 1/3)*(-5 - 15/100) = 2*5 + (1/3)*5 + 2*(15/100) + (1/3)*(15/100)
= 10 + 5/3 + 30/100 + 5/100
= 10 + 5/3 + 3/10 + 1/20
= 10 + 3/3 + 2/3 + 6/20 + 1/20
= 11 + 2/3 + 7/20 = 11 + 40/60 + 21/60
= 11 + 61/60 = 11 + 60/60 + 1/60 = 12 + 1/60
Then the product between the mixed numbers is equal to 12 and 1 over 60, which is the first option.
If you want to learn more about mixed numbers, you can read:
brainly.com/question/1746829
#SPJ1