Answer:
- x is less than or equal to 24
Step-by-step explanation:
If 1000 divided by 40 equals 25, then you would want to stay under that.
so your next best bet is 24
then we just input our variable and sign
<span>The dimensions are 40 inches by 55 inches.
Explanation<span>:
We know that perimeter is the sum of all of the sides. Since this is rectangular, opposite sides are equal. This gives us
y+11/8y+y+11/8y=190.
Combining like terms, we have
2y+22/8y=190.
Writing 22/8 as a mixed number, we have
2y+2 3/4y=190
4 3/4y=190.
Divide both sides by 4 3/4:
(4 3/4y)</span></span>÷<span><span>(4 3/4)=190</span></span>÷<span><span>(4 3/4)
y=190</span></span>÷<span><span>(4 3/4).
Convert the mixed number to an improper fraction:
y=190</span></span>÷<span><span>(19/4).
To divide fractions, flip the second one and multiply:
y=190*(4/19)=760/19=40.
Since y=40, 11/8y=11/8(40)=440/8=55.</span></span>
Answer:
Option 1
Step-by-step explanation:
The given equation equals 3072, so find the other equation that equals 3072.
Option 1 = 3072 - correct
Option 2 = 432 - wrong
Option 3 = 2883 - wrong
Option 4 = 432 - wrong
I hope this helps!
To solve this problem you must apply the proccedure shown below:
1. You have that the lenght ot the board is 6 feet and <span> forms a 60 degree angle with the ground. Therefore, you have:
Sin</span>α=opposite/hypotenuse
α=60°
opposite=x
hypotenuse=6
2. When you substitute the values, you obtain:
Sin(60°)=x/6
3. Now, you must solve for x, as following:
x=6Sin(60°)
x=5.19
Therefore, the answer is: 5.19 feet.
Answer: The constant of proportionality is r = 5.
Step-by-step explanation:
O, we know that x and y are proportional, this means that:
y = r*x
where r is the constant of proportionality.
we also have the table
x y
7 35
12 60
20 100
Now, we can replace those values in our equation and get, for the first pair:
35 = r*7
r = 35/7 = 5
for the second pair:
60 = r*12
60/12 = 5 = r
So we can conclude that the constant of proportionality is 5.
