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puteri [66]
2 years ago
10

a theater has 30 rows with 27 seats in the first row, 31 in the second row, 35 in the third row, and so forth. How many seats ar

e in the theater
Mathematics
1 answer:
mrs_skeptik [129]2 years ago
7 0

Answer:

Question relates to a Arithmetic Sequence {30,32,34...} where d = 2

and the terms are the enumber of seats in each row.

S%5Bn%5D=%28n%2F2%29%282%2Aa%5B1%5D%2B+%28n-1%29d%29  |Sum of the seats in the 26 rows.

S%5B26%5D=%2826%2F2%29%282%2A30%2B+%2825%292%29 = 1430 seats in the ALL 26 rows

Step-by-step explanation:

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Anna71 [15]

Answer:

No

Step-by-step explanation:

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3 years ago
What is the solution to the equation 3(2x+5) = 3x+4x?
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X=15
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4 0
3 years ago
Factor: d2 + 16dm + 64m2
lutik1710 [3]

Answer:

(d + 8m)^2

Step-by-step explanation:

d^2 + 16dm + 64 m^2  = (d + 8m)^2

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3 years ago
Read 2 more answers
A quadratic equation of the form 0=ax^2+bx+c has a discriminant value of 0. How many real number solutions does it have?
Firlakuza [10]
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8 0
3 years ago
How do I solve for the missing lengths?
Advocard [28]

Answer:

Part 4) ER=3\ units

Part 5) DF=9\sqrt{10}\ units

Part 6) DE=30\ units

Step-by-step explanation:

Part 4) Find ER

we know that

In the right triangle ERF

Applying the Pythagorean Theorem

EF^2=ER^2+RF^2

substitute the given values

(3\sqrt{10})^2=ER^2+9^2

solve for ER

ER^2=(3\sqrt{10})^2-9^2

ER^2=90-81\\ER^2=9\\ER=3\ units

Part 5) Find DF

we know that

In the right triangle DRF

Applying the Pythagorean Theorem

DF^2=DR^2+RF^2

substitute the given values

DF^2=27^2+9^2

DF^2=810\\DF=\sqrt{810}\ units

simplify

DF=9\sqrt{10}\ units

Part 6) Find DE

we know that

DE=DR+RE ----> by segment addition postulate

we have

DR=27\ units\\RE=ER=3\ units

substitute

DE=27+3=30\ units

3 0
3 years ago
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