Answer:
The answer is (D) ⇒ a = 11.71 , b = 15.56
Step-by-step explanation:
* In ΔABC
∵ m∠A = 45°
∵ m∠B = 110°
∴ m∠C = 180 - 45 - 110 = 25°
By using the sin Rule
∵ a/sin(A) = b/sin(B) = c/sin(C)
∵ c = 7
∴ a/sin(45) = b/sin(110) = 7/sin(25)
∴ a = (7 × sin(45)) ÷ sin(25) = 11.71
∴ b = (7 × sin(110)) ÷ sin(25) = 15.56
∴ The answer is (D)
In this specific problem each term is separated by an addition sign , so you have a total of 3 terms . The correct answer is " C."<span />
Answer: <em>
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Step-by-step explanation:
<h3>
<em>
The complete exercise is:"A gardener has 27 tulip bulbs, 45 tomato plants, 108 rose bushes, and 126 herb seedlings to plant in the city garden. He wants each row of the garden to have the same number of each kind of plant. What is the greatest number of rows that the gardener can make if he uses all the plants?"</em></h3><h3 />
The first step to solve the exercise is to find the Greatest Common Factor (GCF) between 27, 45, 108 and 126.
You can follow these steps in order to find the GCF:
1. You must decompose 27, 45, 108 and 126into their prime factors:

2. You must multiply the commons with the lowest exponents. Then:
<em>
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Therefore, the greatest number of rows that the gardener can make if he uses all the plants is:

Answer:
Step-by-step explanation:
The equation that models the height of the ball in feet as a function of time is

Where
is the initial height,
is the initial velocity and t is the time in seconds.
We know that the initial height is:
The initial speed is:

So the equation is:

The ball hits the ground when when
So

We use the quadratic formula to solve the equation for t
For a quadratic equation of the form

The quadratic formula is:

In this case

Therefore

We take the positive solution.
Finally the ball takes 2.47 seconds to touch the ground
Answer:
C
Step-by-step explanation:
12 oatmeal cookies divided by 3 sugar cookies is 4. AKA there are 4 groups of 3.