About .17 pounds. ( just keep the peanuts to yourself) lol
Given:
The equation is:
To find:
The values of a, b and b from the standard form.
Solution:
The standard form of a quadratic equation is:
....(i)
We have,
In can be rewritten as
...(ii)
On comparing (i) and (ii), we get
Therefore, the correct option is C.
Answer:
x = 39
Step-by-step explanation:
We know that PRQ is a right triangle, so we use the pythagorean theorem to solve the problem. The theorem states that a^2 + b^2 = c^2. Let's assume that the length of RP is c, the length of PQ is a and x is b. We plug the lengths into the equation and solve it:
80^2 + x^2 = 89^2
6400 +x^2 = 7921
x^2 = 1521
x =
x = 39
Answer:
$0.94 is the price of one donut at Sunrise Donuts
Step-by-step explanation:
Let x be the price of one donuts and y be the price of one kolaches.
As per the statement:
At Sunrise Donuts you can buy 6 donuts and 2 kolaches for $8.84.
⇒ .....[1]
It is also given that One kolache and 4 donuts would cost $5.36.
⇒ .....[2]
Multiply equation [2] by 2 to both sides we have;
......[3]
Subtract equation [1] from [3] we have;
Divide both sides by 2 we have;
x = $0.94
Therefore, $0.94 is the price of one donut at Sunrise Donuts.
Answer:
the long diagonal d=15.49 ( rounded to the nearest hundredth)
the shortest d=√136-120(cos 30)=5.663 ( rounded to the nearest hundredth)
Step-by-step explanation:
Area=height * base
30=h*6
h=30/6=5 cm
height=asinФ
sinФ=5/10=1/2 (Ф=30)
alternate angle=180
180-30=150 degrees
diagonal²=a^2+b^2-2abcos150
d²=10²+6²-2(10)(6)(-√3/2)
d=√136+60(√3)
the long diagonal d=15.49 ( rounded to the nearest hundredth)
the shortest d=√136-120(cos30)=5.663