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
LenKa [72]
2 years ago
8

For ΔABC, which two relationships are true?

Mathematics
1 answer:
Phoenix [80]2 years ago
6 0

The two correct relationships are:

cos(\theta)=\frac{AB}{AC} = sin(90-\theta)\\\\sin(\theta)=\frac{BC}{AC} = cos(90-\theta)

<h3>What is a right-angled triangle?</h3>

The triangle shown is a right-angled triangle

Considering <(90-\theta)^o

cos(90-\theta)=\frac{BC}{AC} \\\\sin(90-\theta)=\frac{AB}{AC}\\\\tan(90-\theta)=\frac{AB}{BC}

Considering <\theta

cos(\theta)=\frac{AB}{AC} \\\\sin\theta)=\frac{BC}{AC}\\\\tan(\theta)=\frac{BC}{AB}

Comparing <\theta and <(90-\theta)^o, the true statements are:

cos(\theta)=\frac{AB}{AC} = sin(90-\theta)\\\\sin(\theta)=\frac{BC}{AC} = cos(90-\theta)

Learn more on trigonometry here: brainly.com/question/20519838

You might be interested in
R is the interior of angle TUV. The measure of RUV=30degrees, the measure of TUV=3x+16, and the measure of TUR=x+10. Find x and
choli [55]

Given

R is the interior of ∠ TUV.

m∠ RUV=30degrees, m∠ TUV=3x+16, and m∠ TUR=x+10.

Find the value of x and the m ∠TUV.

To proof

As given in the question

m ∠TUV=3x+16, and m ∠TUR=x+10

thus

m∠ RUV =  m∠ TUV - m∠ TUR

            = 3x + 16 - x -10

            = 2x + 6

As given

m ∠RUV=30°

compare both the values

we get

30 = 2x + 6

24 = 2x

12 = x

put this value in the m ∠TUV= 3x+16

m ∠TUV= 12× 3 +16

            = 52°

Hence proved


7 0
3 years ago
The volume of the triangular prism is 12.5 m³. The length is 2.5 m and the base is 2 m. What is the width?
Fantom [35]

Answer:

  (4)  5 m

Step-by-step explanation:

You want the length of side x of a right triangular prism with base edge lengths of 2.5 m and 2 m, and a volume of 12.5 m³.

<h3>Volume</h3>

The volume of the prism is given by the formula ...

  V = Bh

where B is the area of the base:

  B = 1/2bh . . . . where b and h are the leg dimensions of the right triangle

Using these formulas together, we have ...

  V = 1/2(2.5 m)(2 m)x

  12.5 m³ = 2.5x m²

Dividing by 2.5 m², we find x to be ...

  (12.5 m³)/(2.5 m²) = x = 5 m

The dimension labeled x has length 5 meters.

6 0
1 year ago
There are 5 red marbles, 2 Green marbles and 3 black marbles. What is the probability that red or black is chosen?(answer in dec
ANEK [815]

Answer:

.8

Step-by-step explanation:

5 red marbles, 2 Green marbles and 3 black marbles = 10 marbles

P (red or black) = number of red or black/ total

                          = (5+3)/10

                          =8/10

   decimal form  = .8

5 0
3 years ago
Read 2 more answers
What is m in 1/3m = -4
ahrayia [7]

Answer:

m=-12

Step-by-step explanation:

Let's solve your equation step-by-step.

1  / 3 m= −4

Step 1: Multiply both sides by 3.

3*( 1  / 3 m) = (3) * (−4)

m=−12

3 0
3 years ago
Im giving free brain list just answer this question . what is 9.62 x 0.38
Sphinxa [80]

Answer:

3.6556

Step-by-step explanation:

Multiply both, can i get brainliest?

5 0
3 years ago
Read 2 more answers
Other questions:
  • I need asap!!! 1. Describe where absolute value applies to the real world.
    9·1 answer
  • What is the value of r in the equation 4r − 8 = 5r + 12?<br><br> −20<br> −1<br> 1<br> 20
    8·2 answers
  • Write prime factorizations of the number 18.
    7·1 answer
  • Jim ordered a sports drink and three slices of pizza for $8.50. His friend ordered two sports drinks and two slices of pizza for
    13·1 answer
  • An article retails for 27.50. The city sales tax is 6%, and the federal excise tax is 8%. How much does the article cost altoget
    8·2 answers
  • − 4/5 (− 3/8 n +6n+2)-n
    12·2 answers
  • Finding area in miles
    13·1 answer
  • Nichole and Mindy are sisters. Their parents give them an allowance
    9·1 answer
  • The exam will have true/false and short answer questions.
    8·1 answer
  • Pleaseee i need some help on these 3 questions
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!