1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dmitrij [34]
3 years ago
15

Please help me with this trigonometry question:

Mathematics
1 answer:
zzz [600]3 years ago
8 0

Answer:

The distance from A to B is 736.2 to the nearest tenth foot

Step-by-step explanation:

In ΔCAB

∵ m∠CAD = 30° ⇒ exterior angle of Δ at vertex A

∴ m∠CAD = m∠ACB + m∠ABC

∵ m∠ABC = 20°

∴ m∠ACB = 30° - 20° = 10°

We will use the sin rule to find the distance AB

∵ \frac{sin20}{1450}=\frac{sin10}{AB}

∴ AB=\frac{1450(sin10)}{sin20}=736.1842936 ≅ 736.2 to the nearest tenth foot

You might be interested in
Multiply and simplify if possible.
timofeeve [1]
√7x-49<span>√x Tell if you need to see the work

</span>
7 0
2 years ago
1.5(x−2)−3(2−x)
adell [148]

Answer:

1. x = 2

2. x = 61/25

Step-by-step explanation:

Solve for x:

5 (x - 2) - 3 (2 - x) = 0

-3 (2 - x) = 3 x - 6:

3 x - 6 + 5 (x - 2) = 0

5 (x - 2) = 5 x - 10:

5 x - 10 + 3 x - 6 = 0

Grouping like terms, 5 x + 3 x - 10 - 6 = (3 x + 5 x) + (-6 - 10):

(3 x + 5 x) + (-6 - 10) = 0

3 x + 5 x = 8 x:

8 x + (-6 - 10) = 0

-6 - 10 = -16:

8 x + -16 = 0

Add 16 to both sides:

8 x + (16 - 16) = 16

16 - 16 = 0:

8 x = 16

Divide both sides of 8 x = 16 by 8:

(8 x)/8 = 16/8

8/8 = 1:

x = 16/8

The gcd of 16 and 8 is 8, so 16/8 = (8×2)/(8×1) = 8/8×2 = 2:

Answer:  x = 2

_____________________________

Solve for x:

Solve for x:

3 (2 x - 7) + (7 x + 2)/3 = 0

Put each term in 3 (2 x - 7) + (7 x + 2)/3 over the common denominator 3: 3 (2 x - 7) + (7 x + 2)/3 = (9 (2 x - 7))/3 + (7 x + 2)/3:

(9 (2 x - 7))/3 + (7 x + 2)/3 = 0

(9 (2 x - 7))/3 + (7 x + 2)/3 = (9 (2 x - 7) + (7 x + 2))/3:

(9 (2 x - 7) + 2 + 7 x)/3 = 0

9 (2 x - 7) = 18 x - 63:

(18 x - 63 + 7 x + 2)/3 = 0

Grouping like terms, 18 x + 7 x - 63 + 2 = (18 x + 7 x) + (2 - 63):

((18 x + 7 x) + (2 - 63))/3 = 0

18 x + 7 x = 25 x:

(25 x + (2 - 63))/3 = 0

2 - 63 = -61:

(25 x + -61)/3 = 0

Multiply both sides of (25 x - 61)/3 = 0 by 3:

(3 (25 x - 61))/3 = 3×0

(3 (25 x - 61))/3 = 3/3×(25 x - 61) = 25 x - 61:

25 x - 61 = 3×0

0×3 = 0:

25 x - 61 = 0

Add 61 to both sides:

25 x + (61 - 61) = 61

61 - 61 = 0:

25 x = 61

Divide both sides of 25 x = 61 by 25:

(25 x)/25 = 61/25

25/25 = 1:

Answer: x = 61/25

7 0
3 years ago
An equestrian club orders magazine subscriptions for new members.
algol [13]

Answer:

19.50

Step-by-step explanation:

32m = 624

m = 19.50

need more words

8 0
2 years ago
Simplify the expression, write in expanded form and exponential form.
Xelga [282]

Answer:

225 x a^4

Step-by-step explanation:

4 0
2 years ago
20% of a full tank is 80 liters.
Wittaler [7]

Step-by-step explanation:

you have to multiply 20 by 80

4 0
2 years ago
Read 2 more answers
Other questions:
  • How do you express 8.25% as a fraction in simplest form
    10·1 answer
  • HELP!! I WILL GIVE BRAINLIEST!!! Many factors need to be considered when buying a car, including style, color, gas mileage, and
    15·3 answers
  • Helpppppp meeeeee withis thatt
    9·1 answer
  • Describe all situation where vertical angles are also supplementary
    14·2 answers
  • The perimeter of the rectangle is 28 units.
    8·1 answer
  • A shop sells pairs of trainers for £52 each. They make a percentage profit of 30% on each pair. What was the cost of each pair o
    5·1 answer
  • Yo does anyone know how to do this?
    9·1 answer
  • -10x + 35 + 5x = -5x + 20 PLs fix this error and answer it can you also show me the steps so I understand?
    12·2 answers
  • I need help on this ASAP
    10·1 answer
  • HELPPP THIS IS TIMED what is the answer
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!