Row 15 has 41 seats, and the entire section has 493 seats.
We can write the explicit formula for an arithmetic sequence to represent this, since we add 2 each time:
13+2(n-1)
Using 15 for n,
13+2(15-1) = 13+2(14) = 13+28 = 41
To find the total number of seats, we evaluate the sum

Using technology to evaluate this sum, it is 493.
Expanding 8x^3, we multiply 8*8 and x^3 by x^3 to get 64x^6. Since we know that the cube root of 64 is 4, we can separate that. Next, since you add exponents while multiplying, 6/3 is the exponent for the cube root of x^6=x^2. Therefore, your answer is 4x^2
you can't really see the question it's too blurry
Answer:
The variable, y is 11°
Step-by-step explanation:
The given parameters are;
in triangle ΔABC;
in triangle ΔFGH;
Segment
= 14
Segment
= 14
Segment
= 27
Segment
= 19
Segment
= 19
Segment
= 2·y + 5
∡A = 32°
∡G = 32°
∡A = ∠BAC which is the angle formed by segments
= 14 and
= 19
Therefore, segment
= 27, is the segment opposite to ∡A = 32°
Similarly, ∡G = ∠FGH which is the angle formed by segments
= 14 and
= 19
Therefore, segment
= 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;
≅
by Congruent Parts of Congruent Triangles are Congruent (CPCTC)
∴
=
= 27° y definition of congruency
= 2·y + 5 = 27° by transitive property
∴ 2·y + 5 = 27°
2·y = 27° - 5° = 22°
y = 22°/2 = 11°
The variable, y = 11°
Answer:
Step-by-step explanation:
<u>Given:</u>
- Total number = 700
- Off grid class = 450
- Online class = 320
- Both = 275
<u>Based on the given we find the following</u>
1) <u>Off-grid class only:</u>
3) <u>Online class only:</u>
2) <u>None of the classes:</u>
- 700 - (175 + 275 + 45) = 205
4) <u>Not online:</u>
5) <u>Not off-grid:</u>