Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form.
Answers
Answer:
1- 35/37
2- 12/37
3- 35/37
4- 12/37
Step-by-step explanation:
The sine of an angle is the ratio of the opposite to the hypotenuse while the cos of an angle refers to the ratio of the adjacent to the hypotenuse. Therefore, the following is true:
Sin D = opposite/hypotenuse = 35/37 -has no simplest form Sin E = opposite/hypotenuse = 12/37 -has no simplest form Cos D = adjacent/hypotenuse = 12/37 -has no simplest form Cos E = adjacent/hypotenuse = 35/37 -has no simplest form
These are fractions that can't be simplified, so they remain the same.
Hope this helps!!
The measure of the trigonometric relations are solved
sin D = 35/37
sin E = 12/37
cos D = 12/37
cos E = 35/37
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ΔDEF
Now , the measure of sides of triangle are
The measure of side DE = 37
The measure of side EF = 35
The measure of side DF = 12
Now , from the trigonometric relations
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
On simplifying , we get
sin D = 35/37
sin E = 12/37
cos D = 12/37
cos E = 35/37
Hence , the measures of trigonometric relations are solved
To learn more about trigonometric relations click :
https://brainly.com/question/14746686
#SPJ5
Related Questions
You have an ice cream cone that is 6 inches tall with a radius of 2 inches. The cone is completely filled with ice cream. There is also a spherical scoop of ice cream on top of the cone with a radius of 3 inches. How much ice cream do you have total in terms of \piπ?
Answers
Mary McDonald makes mugs in Miami. She makes two sizes of mugs: a small mug that she sells for
$2.50 and a large mug that she sells for $5.75. Yesterday Mary made $56. Before she opened her shop in the morning, she had 200 mugs in her inventory. At the end of the day she has 188. How many mugs of
each price did she sell?
Answers
Answer:
4 small
8 large
Step-by-step explanation:
s - small mug
l - large mug
Yesterday she had 200 at start of day
at end of day 188 left, so she sold 12 mugs
(1) s + l = 12
(2) 2.50s + 5.75l = 56.00
Solve for l in (1)
l = 12 - s
substitute in l = 12 - s into (2)
2.50s + 5.75(12-s) = 56.00
2.50s + 69.00 - 5.75s = 56.00
-3.25s + 69.00 = 56.00
-3.25s = -13.00
s = 4
to find l substitute s = 4 into (1)
4 + l = 12
l = 8
Tim's family toured the Astronaut Hall of Fame from 2:05P.M. To 2:45 P.M. Explain how you know that the tour was more than 30 minutes.
Answers
Answer: See explanation
Step-by-step explanation:
Since Tim's family toured the Astronaut Hall of Fame from 2:05P.M. To 2:45 P.M, the time taken during the tour will be:
= 2.45 pm - 2.05pm
= 40 minutes.
Since Tim's family toured the Astronaut Hall of Fame for 40 minutes, this shows that they spent more than 30 minutes during the tour.
an article bought a television for 2500 dollars and sold for 2325dollars find a.loss b.loss%
Answers
Answer:
Loss= $175
Loss %= 7%
Step-by-step explanation:
First of all, you find the difference between 2500 and 2325 which is 175, as his has decreased, it is a loss of $175
To find the percentage you do the difference over the original amount
So 175/2500 which will give you 0.07
0.07 x 100 will give you 7%
An air mattress originally containing 24 cubic feet of air was deflated at a rate of 3 cubic feet of air per minute.
Which of the graphs correctly models the situation?
Answers
I had this question on a quiz. The answer is B if I remember correctly.
Need Help!!!! I will give Brainliest
Answers
Answer:
Line C
Step-by-step explanation:
Hope you pass
Please help will give brainliest
Answers
Answer:
A)24 in^3
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
2x2=4
4x6=24
Anju had 3 (3 / 4) cup of sugar . She used 1 (2 / 3 )cup of sugar to bake a cake . How mush sugar does anju have lift ?
Answers
Answer:
[tex]y=\frac{1}{12} cup\ of\ suger[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=3(3/4)=9/12[/tex]
Amount used [tex]x=1(2/3)=2/3[/tex]
Generally the equation for sugar lift [tex]y[/tex] is given as is mathematically given by
[tex]y=n-x[/tex]
[tex]y=\frac{9}{12} -\frac{2}{3}[/tex]
[tex]y=\frac{1}{12}[/tex]
Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of pi
Answers
Answer:
18π cm²
Step-by-step explanation:
The area of the shaded region = Area of Sector
Radius, r =
The value of θ = 80°
Recall :
Area of Sector :
A = θ / 360 * πr²
A = (80 / 360) * π * 9²
A = 0.222222 * π * 81
A = 18π cm²
PLEASE HELP I DONT UNDERSTAND
Answers
Answer:
I am pretty sure its 5
Step-by-step explanation:
Find the surface area of the triangular prism?
Answers
Answer:
Step-by-step explanation:
Surface area of a triangular prism
Height = 8cm
12cm
10cm
This given as:
S.A = B + Ph
solve for x, Round to the nearest thenth. x,9.2,16.5
Answers
Steps:
16.5-9.2=7.3
9.2-7.3=1.9
Carolina va a repartir entre sus estudiantes una barra de chocolate, a Valeria le da 5/18, a Camila le da 1/3, a Carlos 2/9 y a Pedro 1/6. Al ordenar los estudiantes, desde el que recibió más chocolate hasta el que recibió menos, se obtiene:
Answers
Respuesta:
Camila> Valeria> Carlos> Pedro
Explicación paso a paso:
Dado que :
Valeria = 5/18
Camila = 1/3
Carlos = 2/9
Pedro = 1/6
Podríamos convertir las acciones recibidas a decimal para facilitar la comparación:
Valeria = 5/18 = 0,27777
Camila = 1/3 = 0.3333
Carlos = 2/9 = 0,2222
Pedro = 1/6 = 0.16666
Comparando los decimales:
0,3333> 0,2777> 0,2222> 0,16666
Camila> Valeria> Carlos> Pedro
There are 60 people waiting in line for a movie. If 20 percent are wearing hats, how many people in line were not wearing hats?
Answers
Answer:
48 people
Step-by-step explanation:
To find 20% of 60, you multiply 60 by .2 and get 12. Subtract 12 from 60, and 48 people were not wearing hats.
What’s another name for line qr
Answers
rq
The order of the letters does not matter when referring to just a line
Find the volume of a pyramid with a square base, where the area of the base is
8.3 mº and the height of the pyramid is 6.3 m. Round your answer to the nearest
tenth of a cubic meter.
Answers
Answer: 17.4 m^3
Step-by-step explanation:
V= 1/3 Bh
B=8.3
H=6.3
V=1/3 (8.3)(6.3)
V=17.43
V=17.4m^3
Paolo keeps track of his favorite baseball player's batting average, and notices the average is 0.4727272.... If his player has 55 at bats, what is the number of hits?
Answers
Answer:
No of hits = 26
Step-by-step explanation:
Given that,
Batting average = 0.4727272
His player has 55 at bats.
We need to find the number of hits. Let the number of hits be x. Using formula for average as :
[tex]\dfrac{x}{55}=0.4727272\\\\x=0.4727272\times 55\\\\x=25.99\\\\or\\\\x=26[/tex]
So, there are 26 number of hits.
The Garcia family drives 3/4 of the distance to their. grandparents house in 3/4 hour. How many hours will it take to drive to their grandparents house at the same rate? A-9/16 B-1. C- 1 7/9
Answers
Answer:
B
Step-by-step explanation:
The bank requires a minimum of $50 in the savings account.
it does not matter how much money is kept in the checking account
x represents the amount of money in the checking account and y represents the amount of money in the savings account.
what solution to the inequality?
Answers
Answer:
y≥50
(y is greater than or equal to 50 dollars)
Step-by-step explanation:
We don't need X as the amount in the checking account doesn't matter, so and Y must be equal to or greater than 50, so the answer is y≥50
Use the table to find the solution to the function f(x)=x^2(x-2) when x=2
Answers
f(x) = 0
good lcukkk
What is???????????????
Answers
Answer:
the product should be [tex]-10 \frac{5}{16}[/tex]
Step-by-step explanation:
just multiply 2, and 1/16 by -5.
PLZ HELP ASAP!!!! NEED HELP!!!
Answers
Answer:
I'm pretty sure the answer is C
Solve for X help pleassee
Answers
Maria counted the number of candies in ten different boxes. the number of candies are 57 38,45,49,52,56,41,50,61, and 60. What is the mean absolute deviation of the number of candies.
Answers
509 divided by 10 = 50.9
can any one help me i do not get it
Answers
Answer:
x=30
Step-by-step explanation:
The figure on the right has 12 in. on one side and 10 on the other and the figure on the left is 3 times the number that the figure on the left has. When you multiply 3 and 12 you get 36. From there on you can infer that you multiply 10 by 3. Your solution to x is 30.
Answer: 30
Step-by-step explanation:
36/3=12, 30/3=10
PLEASE HELP I WILL MARK BRAIN AND THIS IS WORTH 26 POINTS!!!
Answers
Answer:
1) Already finished
2)0.28,7/25
3)0.78,39/50
4)0.96,24/25
5)0.5,1/2
6)0.3,30%
7)0.4,40%
8)0.25,25%
9)0.55,55%
10)0.2,20%
11)7/20,35%
12)3/4,75%
13)4/5,80%
14)1/25,4%
15)13/20,65%
Step-by-step explanation:
What is the solution to the systems of equations below?
y = x + 1
y = 3x + 3
plz give a break down i can write down
Answers
Answer:
C is correct
Step-by-step explanation:
C is correct option
1
2.
-
3
C
4
5 »
What is the product of the 4th square number and the 2nd square
number?
Answers
4th square = 16
2nd square = 4
16×4
=64
Use the distance formula to find the distance between each PowerPoint round to the nearest 10th if necessary
Answers
Answer:
Step-by-step explanation:
Distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,
Distance = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
a). A(-6, -4), B(-3, -1)
Distance between A and B = [tex]\sqrt{(-6+3)^2+(-4+1)^2}[/tex]
= [tex]\sqrt{9+9}[/tex]
= 3√2
= 4.2 units
b). C(3.5, 1), D(-4, 2.5)
Distance between C and D = [tex]\sqrt{(3.5+4)^2+(1-2.5)^2}[/tex]
= [tex]\sqrt{58.5}[/tex]
= 7.65
≈ 7.7 units
c). Distance between X(5, -5) and Y(-5, 5)
Distance = [tex]\sqrt{(5+5)^2+(-5-5)^2}[/tex]
= [tex]\sqrt{200}[/tex]
= 10√2
= 14.14
≈ 14.1 units
A health-food store owner buys new products for his store by borrowing against a credit line of $4,500 from one of his wholesale suppliers. He is usually given 9 months to pay the money back. The store owner borrows the full amount and is told by the supplier that his monthly payments will be $600 a. How much did the distributor pay back altogether? How much in interest did the distributor pay for the loan?
Answers
Answer:
Loan Amount= $4500
Monthly Payment= $600
9 months= $600*9= $5400
Interest = $5400-$4500= $900
