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chubhunter [2.5K]
2 years ago
15

Solve the portion 6/x = 18/27

Mathematics
2 answers:
Andru [333]2 years ago
4 0

Answer:

<h3>x=9 answer...</h3>

Step-by-step explanation:

  • 6/x=18/27
  • 162=18x
  • x=162/18
  • x=9

<h2>hope it helps.</h2><h2>stay safe healthy and happy..</h2>
elixir [45]2 years ago
3 0

Answer:9

Step-by-step explanation: 18/6=3 so 27/3 should equal the answer. If u know ur multiplication, the answer would be 9

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PLEASE HELP ME !!!!!!!
Svetach [21]

Answer:

the 2nd one "78.5cm^2" hope this helped :) sorry if its wrong

Step-by-step explanation:

4 0
2 years ago
If c= 205 angle A=81 and angle B=50. b=
zlopas [31]

Answer:

Solution to Problem 1:

Use the fact that the sum of all three angles of a triangle is equal to 180 o to write an equation in C.

A + B + C = 180 o

Solve for C.

C = 180 o - (A + B) = 43 o

Use sine law to write an equation in b.

a / sin(A) = b / sin(B)

Solve for b.

b = a sin (B) / sin(A) = (approximately) 5.4 cm

Use the sine law to write an equation in c.

a / sin(A) = c / sin(C)

Solve for c.

c = a sin (C) / sin(A) = (approximately) 7.1 cm

Problem 2

The angle of elevation to the top C of a building from two points A and B on level ground are 50 degrees and 60 degrees respectively. The distance between points A and B is 30 meters. Points A, B and C are in the same vertical plane. Find the height h of the building(round your answer to the nearest unit).

diagram problem 2

Solution to Problem 2:

We consider triangle ABC. Angle B internal to triangle ABC is equal to

B = 180 o - 60 o = 120 o

In the same triangle, angle C is given by.

C = 180 o - (50 o + 120 o) = 10 o

Use sine law to find d.

d / sin(50) = 30 / sin(10)

Solve for d.

d = 30 *sin(50) / sin(10)

We now consider the right triangle.

sin (60) = h / d

Solve for h.

h = d * sin(60)

Substitute d by the expression found above.

h = 30 *sin(50) * sin(60) / sin(10)

Use calculator to approximate h.

h = (approximately) 115 meters.

Problem 3

A triangle ABC has side a = 12 cm, side b = 19 cm and angle A = 80 o (angle A is opposite side a). Find side c and angles B and C if possible.(round answers to 1 decimal place).

Solution to Problem 3:

Use sine law to write an equation in sin(B).

a / sin(A) = b / sin(B)

Solve for sin(B).

sin (B) = (b / a) sin(A) = (19/12) sin(80) = (approximately) 1.6

No real angle B satisfies the equation

sin (B) = 1.6

The given problem has no solution.

Problem 4

A triangle ABC has side a = 14 cm, side b = 19 cm and angle A = 32 o (angle A is opposite side a). Find side c and angles B and C if possible.(round answers to 1 decimal place).

Solution to Problem 4

Use sine law to write an equation in sin(B).

a / sin(A) = b / sin(B)

Solve for sin(B).

sin (B) = (b / a) sin(A) = (19/14) sin(32) = (approximately) 0.7192

Two angles satisfy the equation sin (B) = 0.7192 and the given problem has two solutions

B1 = 46.0 o and B2 = 134 o

Solution 1: Find angle C1 corresponding to B1

C1 = 180 - B1 - A = 102 o

Solution 1: Find side c1 corresponding to C1

c1 / sin(C1) = a / sin(A)

c1 = 14 sin(102) / sin(32) = (approximately) 25.8 cm

Solution 2: Find angle C2 corresponding to B2

C2 = 180 - B2 - A = 14 o

Solution 2: Find side c2 corresponding to C2

c2 / sin(C2) = a / sin(A)

c1 = 14 sin(14) / sin(32) = (approximately) 6.4 cm

Exercises

1. A triangle ABC has angle A = 104 o, angle C = 33 o and side c = 9 m. Solve the triangle ABC by finding angle B and sides a and b.(round answers to 1 decimal place).

2. Redo problem 2 with the distance between points A and B equal to 50 meters.

Solutions to Above Exercises

1. B = 43 o, a = 16.0 m , b = 11.3 m

2. 191 meters.

More References and Links to Sine and Cosine Laws

sine law

Sine Law Calculator and Solver.

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Cosine Law Calculator and Solver.

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7 0
3 years ago
A and B are complementary angles. If m_A = (6x + 29) and m
Liono4ka [1.6K]

Answer:

m∠A=77°

Step-by-step explanation:

Complementary angles are a pair of angles whose measures have a sum of 90°. Since m∠A = 6x+29 and m∠B = x+5, we can write the following equation to solve for x:

6x+29+x+5=90

Solving for x, we get:

6x+29+x+5=90

7x+34=90 (Simplify LHS)

7x+34-34=90-34 (Subtract 34 from both sides of the equation to isolate x)

7x=56 (Simplify)

\frac{7x}{7}=\frac{56}{7} (Divide both sides of the equation by 7 to get rid of x's coefficient)

x=8

Therefore, m∠A=6x+29=6(8)+29=48+29=77°. Hope this helps!

6 0
3 years ago
Read 2 more answers
-3(x-4)=21<br><br> i know i’m asking a lot of questions but i CANT fail this math test
Law Incorporation [45]

Answer:

x= -3

Step-by-step explanation:

mutliply the -3 to parentheses.

-3x+12 = 21

-3x = 21-12

/-3

x= 9/-3

x= -3

7 0
3 years ago
Read 2 more answers
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3 years ago
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