Answer:
$1.75
Step-by-step explanation:
1 pound of carrot and 1.5 pounds of squash cost $7.00.
1c + 1.5s = 7 ----------------- [ 1 ]
4.5 pounds of carrot and 1.75 pound of squash cost $14.00.
4.5c + 1.75s = 14 ----------------- [ 2 ]
<u>[ 1 ] x 4.5:</u>
4.5c + 6.75s = 31.5 ----------------- [ 1a ]
<u>[1a] - [2]:</u>
5s = 17.5
s = $3.50
<u>Sub s = 3.5 into [ 1 ]:</u>
1c + 1.5 (3.5) = 7
1c + 5.25 = 7
1c = $1.75
Hello!
The least common denominator is like the least common multiple. As you can see, these numbers already have the same denominators, and cannot be divided any further as they are prime.
Therefore, our answer is 3.
I hope this helps!
Answer:
x = 7.07 or 4.925
Step-by-step explanation:
3(x-6)^4+11=15
3(x-6)^4=15-11
(x-6)^4=4/3
x-6 = +![\sqrt[4]{4/3}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B4%2F3%7D)
or -
x= + +6 or - +6
x = 7.07 or 4.925
By using trigonometric relations, we will see that x = 9.97°.
<h3>
How to find the missing angle?</h3>
First, we need to find the bottom cathetus of the smaller triangle, we will use the relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus).
Where:
- θ = 26°
- Adjacent cathetus = k
- Opposite cathetus = 55ft.
Replacing that we get:
Tan(26°) = 50ft/k
Solving this for k, we get:
k = 55ft/tan(26°) = 112.8 ft
Now, we can see that the longer triangle adds 200ft to this cathetus, so now we will have:
- angle = x
- opposite cathetus = 55ft
- adjacent cathetus = 112.8ft + 200ft = 312.8ft.
Then we have:
Tan(x) = (55ft/312.8ft)
Using the inverse tangent function in both sides, we get:
x = Atan(55ft/312.8ft) = 9.97°
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
