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umka2103 [35]
3 years ago
7

the first row an auditorium has 24 seats. the second row has 28 seats, and the third row has 32 seats. if this patterns continue

s, how many seats are in the 20th row?

Mathematics
2 answers:
ANEK [815]3 years ago
8 0

\bf 24~~,~~\stackrel{24+4}{28}~~,~~\stackrel{28+4}{32}.....\qquad \stackrel{\textit{common difference}}{4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=24\\ d=4\\ n=20 \end{cases} \\\\\\ a_{20}=24+(20-1)4\implies a_{20}=24+76\implies a_{20}=100

brilliants [131]3 years ago
6 0

D the answer (i'm pretty sure) is D

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Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each s
tankabanditka [31]

Answer:

D. Triangle QRS is an isosceles triangle because QR = RS.

Step-by-step explanation:

Find the length of each side of the triangle using the formula for calculating the distance between two points.

D = √(x2-x1)²+(y2-y1)²

For side RS

R(0,0) and S(5, -3.322)

RS = √(5-0)²+(-3.322-0)²

RS = √25+11.035684

RS = √36.035684

RS = 6.0029

For side RQ

R(0,0) and Q(-3, -5.2)

RQ = √(-3-0)²+(-5.2-0)²

RQ = √9+27.04

RQ = √36.04

RQ = 6.0033

For side QS

Q(-3,-5.2) and S(5, -3.322)

QS = √(5+3)²+(-3.322+5.2)²

QS = √64+3.526884

QS = √67.526884

QS = 8.22

From the calculation it can be seen that RS=QR

Since the two sides f the triangle are equal, hence the triangle is an isosceles triangle. An isosceles triangle is a triangle that has two of its sides equal

7 0
3 years ago
CORRECT ANSWER WILL GET BRAINLIEST. 30 points!
Burka [1]
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The statement of expressions is two terms and three factors.

<h3>The statement and expressions:</h3>

According to the question, the statement that teaches us about expression is made up of two terms, each of which has three factors.

The ABC and DEF expressions define the expression of two terms, each of which comprises two elements.

As a result, the answer is two terms and three factors.

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Know more about an expression here:

brainly.com/question/723406

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8 0
1 year ago
Your insurance premium is $3400 annually. Your employer pays 80% of the premium. How much will you pay annually?
pochemuha
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4 0
3 years ago
Read 2 more answers
HELP PLSSSSS Triangle ABC is an equilateral triangle. The angle bisectors and the perpendicular bisectors meet at D in such a wa
vazorg [7]
CE = CD + DE = 2DE + DE = 3DE = 8.7

DE = 8.7/3 = 2.9
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For the inscribed circle, where center is point D. The radius is length DE.
This is because the circle will touch the 3 points where the bisectors intersect with sides of triangle.
radius = 2.9

For circumscribed circle, the center will also be point D. The radius is CD.
The circle will touch 3 points of triangle, A,B,C.
radius = 5.8
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