The law of cosines is used for this purpose. It tells you
c² = a² + b² - 2ab×cos(C)
Solving for the angle C gives
C = arccos((a² + b² - c²)/(2ab))
C = arccos(( 17² + 15² - 19²)/(2×17×15))
C = arccos(153/510)
C ≈ 72.5424°
The measure of the angle opposite the longest side is about 73°.
Google says. ..
Solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation. You'll probably start out by just solving proportions, like this: Find the unknown value in the proportion: 2 : x = 3 : 9.
Now let's do it
2. 2 is not shown in the picture
3. 2 1/2 sugar/7 1/2 flour = x sugar/1 flour
cross multiply: 2 1/2/7 1/2 = x/1
7 1/2x = 1(2 1/2) ... 15/2x = 5/2 ... x=5/2×2/15= 1/3
answer: 1/3 cup sugar = 1 cup flour ... 1/3s:1f
5. 1 1/3p/3 1/3c = ₩p/1c
cross multiply: (1 1/3)/(3 1/3) = ₩/1
3 1/3₩= 1(1 1/3) ... 10/3₩=4/3 ... ₩=4/3×3/10
₩=4/10=2/5 qt papaya
2/5 qt papaya = 1 qt carrot ... 2/5p:1c
Answer:
predicted value = 19.04518
Residual = -0.04518
Step-by-step explanation:
Residual = y - predicted y
In this case y = 19 for a 7 year old tree.
f(7) = 19.04518
Residual = 19 - 19.04518
Residual = -0.04518
Answer:
(5, 1 )
Step-by-step explanation:
Given the 2 equations
3y - 2x = - 7 → (1)
5x + 3y = 28 → (2)
Rearrange (1) expressing 3y in terms of x by adding 2x to both sides
3y = - 7 + 2x
Substitute 3y = - 7 + 2x into (2)
5x - 7 + 2x = 28
7x - 7 = 28 ( add 7 to both sides )
7x = 35 ( divide both sides by 7 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (2)
5(5) + 3y = 28
25 + 3y = 28 ( subtract 25 from both sides )
3y = 3 ( divide both sides by 3 )
y = 1
solution is (5, 1 )