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bearhunter [10]
4 years ago
6

Liam is setting up folding chairs for a meeting. If he arranges the chairs in 9 rows of the same length, he has 3 chairs left ov

er. If he arranges the chairs in 7 rows of that same length, he has 19 left over. How many chairs does Liam have?
Mathematics
1 answer:
exis [7]4 years ago
8 0

9x + 3 = 7x +19

2x + 3 = 19

2x = 16

x = 8

So, x (8) is the number of chairs in each row with these setups. 

Plug 8 into one of the equations and you will find how many chairs total there are.

9(8) + 3 = 75

There are 75 chairs total

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Solve the triangle. Round your answers to the nearest tenth. A. m∠A=43, m∠B=55, a=16 B. m∠A=48, m∠B=50, a=23 C. m∠A=48, m∠B=50,
alexgriva [62]

Answer:

D. m∠A=43, m∠B=55, a=20

Step-by-step explanation:

Given:

∆ABC,

m<C = 82°

AB = c = 29

AC = b = 24

Required:

m<A, m<C, and a (BC)

SOLUTION:

Find m<B using the law of sines:

\frac{sin(B)}{b} = \frac{sin(C)}{c}

\frac{sin(B)}{24} = \frac{sin(82)}{29}

sin(B)*29 = sin(82)*24

\frac{sin(B)*29}{29} = \frac{sin(82)*24}{29}

sin(B) = \frac{sin(82)*24}{29}

sin(B) = 0.8195

B = sin^{-1}(0.8195)

B = 55.0

m<B = 55°

Find m<A:

m<A = 180 - (82 + 55) => sum of angles in a triangle.

= 180 - 137

m<A = 43°

Find a using the law of sines:

\frac{a}{sin(A)} = \frac{b}{sin(B)}

\frac{a}{sin(43)43} = \frac{24}{sin(55)}

Cross multiply

a*sin(55) = 25*sin(43)

a = \frac{25*sin(43)}{sin(53)}

a = 20 (approximated)

8 0
3 years ago
Please someone help, give the right answer it’s important
KonstantinChe [14]

Step-by-step explanation:

Please see the attached picture and I hope I have given the right answer.

5 0
3 years ago
I need help for 7 and 8. i also need the solution on how you get the answer. thanks in advance!
ycow [4]
7) Rectangular pyramid:
Length = 8m ; width = 4.6m ; Volume = 88m³

Volume of a rectangular pyramid = (Length * Width * Height)/3
88m³ = (8m * 4.6m * height)/3
88m³ * 3 = 36.8m² * height
264m³ = 36.8m² * height
264m³ / 36.8m² = height
7.2 m = height

8) Cone:
r = 5 in ; volume = 487 in
³

Volume of a cone = π r² h/3
487 in³ = 3.14 * (5in)² * h/3
487 in³ * 3 = 3.14 * 25in² * h
1,461 in³ = 78.5 in² * h
1,461 in³ / 78.5 in² = height
18.6 in = height
8 0
4 years ago
Please halp!This is very important to me!
Igoryamba
39. FALSE
40. Where is the answer?

6 0
4 years ago
Read 2 more answers
2^x + 2^-x =5/2 pls I need d. ans​
yKpoI14uk [10]

Answer:

x= 1, -1

Step-by-step explanation:

6 0
3 years ago
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