Answer: 270 minutes or 4 hours and 30 minutes
Step-by-step explanation: 3x6 =18 and 45 x 6= 270
Divide 6000 by 20
= 300 programs for each perfomance
<h3><em>
Hey! </em></h3>
<u>let the numbers be n and m</u>
<u>n+m=65</u>
<u>n=4m</u>
<em>So when we put our work in:</em>
<u>4m+m=65</u>
<u>5m=65</u>
<u>m=13</u>
<u>n=52</u>
So therefore your two numbers are 52 and 13!
<em>Hope this helped! °ω°</em>
Answer:
12
Step-by-step explanation:
since tile B is a regular polygon means it is an equilateral triangle. The angle inside B would be 60.
(360 - 60)/2 = 150 (interior angle of tile A)
180 - 150 = 30 (exterior angle of tile A)
therefore number of sides = 360 /30 = 12
<h3>
Answer: 24 feet (Choice D)</h3>
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Explanation:
Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.
Focus on triangle BCD.
The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.
We know that he's 14 ft off the ground, which explains why AB = CD = 14.
The goal is to find BC = AD = x.
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Again, keep your focus on triangle BCD.
We'll use the tangent ratio to say
tan(angle) = opposite/adjacent
tan(B) = CD/BC
tan(30.26) = 14/x
x*tan(30.26) = 14
x = 14/tan(30.26)
x = 23.9965714046732
That value is approximate. Make sure your calculator is in degree mode.
That value rounds to 24 feet when rounding to the nearest whole foot.