Hi. This is a bit lengthy so I am attaching an image that shows it worked out step by step. I hope it helps.
Take care,
Diana
Answer:
36 and 48 and 96
Step-by-step explanation:
add 3+4+8=15
all of the angles in a triangle have to add up to 180
so 180÷15=12
now for this ratio, each part will equal 12
so we have to multiply each of the parts by 12
3×12=36
4×12=48
8×12=96
those are the measures of the angles
you can add them up again and see that they equal 180
you can try dividing and you will see that they also equal the ratio
Answer:
Height of the streetlight ≈ 8 ft(nearest foot)
Step-by-step explanation:
The doc file displays the triangle formed from the illustration. x is the height of the street light. The distance from the gentle man to the street light is 10 ft. He has a height of 5.6 ft and the shadow formed on the ground is 24 ft long. The height of the street light can be calculated below.
The length of the tip of the shadow to the base of the street light is 34 ft. Similar triangle have equal ratio of their corresponding sides .
ab = 5.6 ft
The ratio of the base sides = 24/34
The ratio of the heights = 5.6/x
The two ratio are equal Therefore,
24/34 = 5.6/x
24x = 5.6 × 34
24x = 190.4
divide both side by 24
x = 190.4/24
x = 7.93333333333
x ≈ 8 ft
Height of the streetlight ≈ 8 ft(nearest foot)
54 I believe if this is what I think it is the end of the world as we see it the most hardest math riddle to have ever existed 61-47 = 14
47+7=54 54+7= 61 therefore the world as we know shall come to a end at 2:08 PM Central time
They are all prime numbers