Answer:
Step-by-step explanation:
The answer to this question is 12+6sqrt3.
This is because of the 30, 60, and 90 degree rule. The rule states that the hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle.
Using the rule you now know that DF is 12. Then use the Pythagorean Theorem to find the length of DE. 12^2=144, and 6^2=36. 144-36=108.
The square root of 108 simplified=6sqrt3.
Then you add them together and get 12+6sqrt3.
Answer:
3rd Option
Step-by-step explanation:
Which equation is the inverse of y = 7x2 – 10?
y = StartFraction plus-or-minus StartRoot x + 10 EndRoot Over 7 EndFraction
y = plus-or-minus StartRoot StartFraction x + 10 Over 7 EndFraction EndRoot
x = plus-or-minus StartRoot StartFraction x Over 7 EndFraction + 10 EndRoot
y = StartFraction plus-or-minus StartRoot x EndRoot Over 7 EndFraction plus-or-minus StartFraction StartRoot 10 EndRoot Over 7 EndFraction
7 x 10^1 = 70
7 x 10^2 = 700
7 x 10^3 = 7000
. . . . . . .. . . . . . . . . . . . . . . . . . . . ./ . . . . . . . . . . . . . . . . . . . . . . . . . . . .
From the given data, we can generate two equations with two unknowns.
We let x = number of loaves of bread
y = number of batches of muffins
For the equation of the flour requirement:
17 = 3.5x + 2.5y
<span>For the equation of the sugar requirement:
</span>4.5 = 0.75x + 0.75y
We evaluate the solutions by manipulating one of the equations into terms of the other. We use the first equation.We write x in terms of y.
x = (4.5/0.75) - y
Substitute the third equation to the second equation.
17 = (3.5((4.5/0.75)-y)) + 2.5y
Evaluating y and x, we have,
y = 4 and x = 2
Thus, from the amounts she has in hand, she can make 4 loaves of bread and 2 batches of muffins.
