Answer:
The number of vocalist sang on the end of the 10th day is 6138 vocalist.
Step-by-step explanation:
Given:
Number of vocalist needed on the first day = 6
Each day after that, the number of vocalists needed doubles
To Find:
The total number of vocalist found on the 10th day = ?
Solution:
By using the geometric series
Where
a is the first term
r is the ratio
n is the number of terms
On substituting the values
That is
The first day = 6 vocalist
Second day = 12 vocalist
third day =24 vocalist
Fourth day =48 vocal list
Fifth day = 96 vocalist
Sixth day = 192 vocalist
Seventh day = 384 vocalist
eight day = 768 vocalist
Ninth day = 1536 vocalist
Tenth day = 3072 vocalist
So
6+12+24+48+96+192+384+768+1536+3072 = 6138 vocalist sang in total on the end of tenth day.
Answer:
u = 15
Step-by-step explanation:
I must assume you meant u - 16 = -1, as +-16 is in improper format.
Solve u - 16 = -1 for u by adding 16 to both sides:
u = 15
Answer:
The answer is 0.2mile
Step-by-step explanation:
The vertical height of the building, which is 630ft, is opposite the angle of elevation (30°).
While the horizontal distance to the tower is adjacent to the building. So, we take the tangent of the angle of elevation in terms of this unknown distance (x) and the vertical height.
So,
Tangent = opposite ÷ adjacent
Tan30° = 630ft ÷ x
x = 630ft ÷ tan30°
x = 1091.192ft
But,
1 mile = 5,280ft
1091.192ft = (1/5280) x 1091.192
= 0.2mile
Answer:
x=10. x=-8. x=5. x=10. x=120.
Step-by-step explanation:
If your trying to find x then get x by its self.
3x=2x +10 subtract 2x from both sides
x=10
5x=4x-8 subtract 4x from both sides
x= -8
x +5=2x subtract x from both sides
x=5
3x+10=4x subtract 3x from both sides
x=10
120+5x=6x subtract 5x from both sides
120=x
Answer:
Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.
Step-by-step explanation:
Triangular Proportionality Theorem states that:
- If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.
Let us consider the triangle ΔABC as shown in attached figure.
If
║
then
Therefore, Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.
Keywords: Triangle Proportionality Theorem, triangle, line segment
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