Answer:
5 marbles
Step-by-step explanation:
Assume the first is color 1
and then the second is color 1
Now the third is color 2
The fourth is color 2
Now the 5th marble of either color will make 3 of one color
In order to find the length of the hypotenuse, we use knowledge on trigonometric functions which would be sine and is expressed as:
sine (theta) = opposite side / hypotenuse
sine 80 = 4 / hypotenuse
Hypotenuse = 4.1 in <---- OPTION B
I am not that good at math
1081.44 is the value of the quantity after 0.1 hours, to the nearest hundredth.
What Is percent in simple words?
- Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100.
- Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent.
- You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.
Based on the given conditions, formulate = 
Evaluate the equation/expression= 1081.4375
Round the number: 1081.44
Therefore, 1081.44 is the value of the quantity after 0.1 hours, to the nearest hundredth.
Learn more about percentage
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Answer:
Let AB be the flagstaff and CD be the vertical tower.
AB=10m=EC
BC=20m=AE
In triangle ABC we have,
tanx=AB/BC
tanx=10/20
1/tanx=20/10
10/tanx=20...........1
In triangle ADE we have
tan(90-x)=DE/AE
cotx=DE/20
1/cotx=20/DE
DE/cotx=20..............2
by eq1 and. eq 2 we get
10/tanx=DE/cotx
10/(AB/BC)=DE/(BC/AB)
10/(10/20)=DE/(20/10)
10×20/10=DE×10/20
DE=40m
Therefore height of vertical tower = DE+EC=40+10=50m
