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
patriot [66]
2 years ago
9

Use right triangle DCB to find the trig values for angle D. sinD = cosD = tanD =

Mathematics
2 answers:
Sever21 [200]2 years ago
4 0
Sin D=35/37
cos D=12/37
tan D= 35/12
Use SOHCAHTOA
Natali5045456 [20]2 years ago
4 0

Answer:

sin(D)=\frac{35}{37}

cos(D)=\frac{12}{37}

tan(D)=\frac{35}{12}

Step-by-step explanation:

<u>Part a)</u> Find sin(D)

we know that

In a right triangle the value of sine of  an angle is equal to the opposite side to the angle  divided by the hypotenuse

sin(D)=\frac{CB}{DB}

substitute the values

sin(D)=\frac{35}{37}

<u>Part b)</u> Find cos(D)

we know that

In a right triangle the value of cosine of  an angle is equal to the adjacent side to the angle  divided by the hypotenuse

cos(D)=\frac{DC}{DB}

substitute the values

cos(D)=\frac{12}{37}

<u>Part c)</u> Find tan(D)

we know that

In a right triangle the value of tangent of  an angle is equal to the opposite side to the angle  divided by the adjacent side to the angle

tan(D)=\frac{CB}{DC}

substitute the values

tan(D)=\frac{35}{12}

You might be interested in
Vivenne, John and nassim ran for 6th grade class president. Vivenne got four votes for every 3 votes that John got. Nassim got t
liq [111]

Answer:

John received 10% of the overall votes.

Step-by-step explanation:

Let us assume that the number of votes John got  = m

So, the number of votes Vivienne received =   3 times (John's share )

 = 3  times m   =  3 m

Also, The number of Votes Nassim received = 2 times ( Vivienne's share)

2 x (3 m)   = 6 m

Total Votes in the grade 6  

= Votes received by { John + Vivienne + Nassim}

= m + (3 m) + (6 m) = 10 m

Hence, the total number of students who voted in grade 6  = 10 m

\textrm{The percentage of John's Votes }  = \frac{\textrm{Number of votes John received}}{\textrm{Total number of votes }}  \times 100

= \frac{m}{10m}  \times 100 = 10

or, The percentage of John's Votes  = 10%

Hence, John received 10% of the overall votes.

3 0
3 years ago
A square mosaic is made of small glass squares. If there are 256 small squares in the mosaic how many are along an edge?
Degger [83]
To do this, you got to square 256.

The square root of 256 is 16.

Therefore, there are 16 small squares on each edge of the mosaic.

Kinda proof:

o  o  o  o  O
o  o  o  o  O
o  o  o  o  O
o  o  o  o  O
o  o  o  o  O

25 squares. Square root is 5. 5 along each edge. My work shares same concept.

Extremely unnecessary proof:

o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O

There are 256 squares, and you can count 16 on each edge. this shows 16 times 16, or 16 squared, which is 256.

3 0
3 years ago
Read 2 more answers
Simplify 30x-140-(x-4)
balu736 [363]

Answer:

x = 4.7

Step-by-step explanation:

30x - 140 -(x - 4)

Multiply the -1 into (x - 4)

30x - 140 - x + 4

Add/subtract

29x - 136 = 0

      +136

29x = 136

\frac{29x}{29} = \frac{136}{29}

x = 4.689655172413793

8 0
3 years ago
A certain triangle has a 30° angle in a 60° angle. Which must be a true statement about the triangle
Lady bird [3.3K]

Answer:

It is a right triangle.

Step-by-step explanation:

A right triangle is a triangle with at least one angle with 90 degrees.

We know that every triangle has 180 degrees. The other unknown angle is 180 - (30+60) = 180 - 90 = 90. That means that the other angle is 90 degrees. Therefore, it is a right triangle

We also know that in this triangle, that the square of one side plus the square of another is side is equal to the square of the hypotenuse of the triangle. (According to Pythagorean theorem)

6 0
3 years ago
Ron charges $10 to park a car in his parking lot. He pays $50 per day to rent the lot. If 40 cars park in his lot during the day
jolli1 [7]
From the cars parked in the lot he will earn (40)($10)=$400, but he will need to pay $50 for the rent. Thus his total $ earned will be $400-$50=$350.
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is 15x-10=-10x<br>what is -2+9=2x-7
    14·1 answer
  • What is Twice​ x, plus 8 ​, is the same as -15?
    10·2 answers
  • Each of the following statements describes a quadrilateral. Which of the quadrilaterals are NOT parallelograms? Choose three.
    9·2 answers
  • For a 36-gon what is the sum of the exterior angles
    11·1 answer
  • Health insurance benefits vary by the size of the company (the Henry J. Kaiser Family Foundation website, June 23, 2016). The sa
    7·1 answer
  • Find the surface area of a grapefruit with a circumference of 14 cm. Round your answer to the nearest whole number.
    7·2 answers
  • What is the answer to <br> 12 - (1/2+2/3) =
    14·2 answers
  • -5.5x+0.56= -1.64 What does x equal to ?
    12·1 answer
  • 6 tons =______ pounds
    8·1 answer
  • It takes about 20 hours to drive from Columbus to Houston which is about 1180 miles. What is the unit rate?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!