Answer:
CD = 10√3
Step-by-step explanation:
First of all, you need to understand the terms. The <em>incenter</em> is the center of an inscribed circle. Such a circle is tangent to all three sides of the triangle at points B, D, and F. The distances BG, DG, and FG are each the radius of the circle.
The diagram shows FG = 22, so that is also the measure of DG. This gives you two of the three sides of right triangle CDG, so you know enough to apply the Pythagorean theorem.
CG^2 = CD^2 + DG^2
28^2 = CD^2 + 22^2
300 = CD^2 . . . . . . . . subtract 22^2
10√3 = CD . . . . . . . . . take the positive square root
The measure of CD is 10√3.
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The process is to understand the geometric relationships and what they mean regarding the algebraic relationships. Then you use the algebraic relationships to write equations that let you find the unknowns you seek.
Answer:
yes
Step-by-step explanation:
since 8 = 4*2, any number of the form 8x can be written as 4*2x. so every number divisible by 8 is also divisible by 4.
Answer:
3 days would take the 15 workers to finish the same task
Step-by-step explanation:
- In the questions of doing a job, the number of workers and the time are in an inverse proportional because if the number of workers is increased, then the time of finishing the job will decrease and vice versa
- The relation between the number of workers and the time to finish any job is N × T = K, where, N is the number of workers, T is the time to finish the job, and K is constant
Let us use this relation to solve the question
∵ 5 workers can complete a certain task in 9 days
∴ N = 5 workers and T = 9 days
→ By using the relation above
∴ 5 × 9 = k ⇒ (1)
∵ If there are 15 workers will make the same task
∵ They can finish it in x days
∴ N = 15 workers and T = x days
→ By using the relation above
∴ 15 × x = k ⇒ (2)
∵ k is the same task, then equate the left sides of (1) and (2)
∴ 15 × x = 5 × 9
∴ 15x = 45
→ Divide both sides by 15 to find x
∴ x = 3 days
∴ 3 days would take the 15 workers to finish the same task
Answer:
The domain is the integers from 0 to 500.
Step-by-step explanation:
The idea is that, the auditorium cannot charge for a half seat, and so integers are the only set that can be used.
I don’t know the answer sorry
