<span>Find the ratio of the number of cans in a store:
=> Shop smart = 24 packs (2 for $9)
=> super saver = 12 packs (4 for $10)
=> Price Buster = 12 packs (3 for $ 9)
Let’s start with the first, the shop smart
=> 2/24 = 9/x
=> 4.5 x 2 = 9, thus 4.5 x 24
= 108
=> 2:24 = 9/108
Second, Super Saver
=> 4/12 = 10/x
=> 4 x 2.5 = 10, thus 2.5 x 12
=> 30
=> 4:12 = 10:30
Third, Price Buster
=> 3/12 = 9/x
=> 3 x 3 = 9, thus 3 x 12
=> 36
=> 3:12 = 9:36
</span>
Answer:
(25,19)
Step-by-step explanation:
We are to find the location of the train station.
Using the formula for calculating midpoint given as:
M(X,Y) = [(x1+x2)/2, (y1+y2)/2]
X = x1+x2/2
Y = y1+y2/2
Given
M(X,Y) = (11,11)
Bus station (x1, y1) = (-3,3)
Substituting the given parameters into the formula.
11 = -3+x2/2
Cross multiply
11×2 = -3+x2
22 = -3+x2
x2 = 22+3
x2 = 25
Similarly
Y = y1+y2/2
11 = 3+y2/2
Cross multiply
11×2 = 3+y2
22 = 3+y2
y2 = 22-3
y2 = 19
Hence the location of the train station is at (25,19)
Answer:
https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%263%5C%5C4%265%266%5C%5C7%268%269%5Cend%7Barray%7D%5Cright%5D%20
Step-by-step explanation:
so you have to write it all the way and then divide with the denominator then shift the numerator on the other side of the numerator
<h3>
Answer: 144 Joules </h3>
Steps Shown:
Work = Force * Displacement
Work = (36 Newtons)*(4 meters)
Work = (36*4) Newton meters
Work = 144 Newton meters
Work = 144 Joules
Note: The displacement must point in the same direction as the force applied.
Your answer is 75°.
To answer this question you need to use both the cosine rule and the sine rule. First, we need to find the length of side b by using the cosine rule, where a = 2 and c = √3 + 1. Then you substitute these into the equation:
b² = a² + c² - 2×a×c×cos(B)
b² = (2)² + (√3 + 1)² - 2×2×(√3 + 1)×cos(60)
b² = 4 + 4 + 2√3 - (4 - 4√3)×0.5
b² = 8 - 2 = 6
b = √6
Then you use this length in the sine rule, and find the angle:

sin(A) = (√6 + √2)/4
A = 75
I hope this helps! Let me know if you have any questions