Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form.

Find Sin D, Sin E, Cos D, And Cos E. Write Each Answer As A Fraction In Simplest Form.

Answers

Answer 1

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!!

Answer 2

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 :

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Related Questions

Which table shows exponential decay

Answers

Answer:

the first one on the picture.

Step-by-step explanation:

16/2 = 8

8/2 = 4

4/2 = 2

hope this helps :)

In the table, shows' exponential decay is:

The correct option is (A)

We have to find that :

Which table shows exponential decay

From the figure of exponential decay :

When the value of one variable of the function is decreased with increase in the number of other variable, then it is called the exponential decay function with constant exponential coefficient.

It can be given as,

[tex]\frac{dN}{dt}=-\lambda N[/tex]

Here, [tex]\lambda[/tex] is the exponential coefficient.

From Option A:

x      y

1      16

2      8

3      4

4      2

The exponential coefficient for first and second row is,

[tex]\lambda=\frac{16}{8}=2[/tex]

Similarly,

[tex]\lambda=\frac{8}{4}=2\\\\\lambda=\frac{4}{2}=2[/tex]

Hence, as all the values of exponential coefficient is same, thus this shown the exponential decay.

From option B:

The exponential coefficient for first and second row is,

[tex]\lambda=\frac{16}{12}=\frac{4}{3}[/tex]

Similarly,

[tex]\lambda=\frac{12}{8}=\frac{3}{2} \\\\\lambda=\frac{8}{4}=2[/tex]

Learn more about exponential decay at:

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Pls help will give brainlist if right

Answers

Answer:

1) supplementary

2) ∠ABD = 180° - 123°

Step-by-step explanation:

The path of a projectile launched from a 26-ft-tall tower is modeled by the equation y = −16t2 + 64t + 26. What is the maximum height, in feet, reached by the projectile?

Answers

Answer:

The maximum height of the projectile is 90 ft

Step-by-step explanation:

Here, we want to get the maximum height reached by the projectile

The answer here will be the y-coordinate value of the vertex form of the given equation

so firstly, we have to write the equation in the vertex form

We have this as;

y = -16t^2 + 64t + 26

That will be;

y = a(x-h)^2 + k

y = -16(x-2)^2 + 90

where the vertex of the equation is;

(-h,k)

K

in this case is 90 and thus, that is the maximum height of the projectile

Find the solution of 64 = 16u algebraically.
please I’m desperate

Answers

Answer:

u = 4

Step-by-step explanation:

Divide by 16 on both sides. [Division Property of Equality]

64/16 = 16u/16

u = 4

==================================================================Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

     -Aadi x

Find and interpret the standard deviation of the set of data. 7. {6, 8, 2, 3, 2, 9}​

Answers

Answer:

3.1

Step-by-step explanation:


Which of the following are identities? ^

Answers

I think it’s A.I’m sorry not that sure

AHH HELP RN PLEASE

IS THIS AN EXPONENTIAL FUNCTION??

Answers

Answer:

this =2.x3

Step-by-step explan

ation:

gramwergssa

Answer:

This =2.x3

Just took this same test

Is this right? Please help me

Answers

Answer:

Yes.

Step-by-step explanation:

Every tenth is equal to ten one-hundreths/10%. So, since 0.2 is essentially a different way to write 20%, 20% of customers wanted cheese and no chili.

I need help on this question

Answers

Answer:

1313.19 in

Step-by-step explanation:

have a nice dayyy :)

Write an expression to represent "8 less than the product of 3 and j"

Answers

(3*j)-8
I thinkkkk... I’m positive tho

help me with this please

Answers

Answer:

1) E

2) D

3) G

4) I

Step-by-step explanation:

1)

P = 2(l + w)

P = 2(3a + 3 + 8a - 12)

P = 2(11a - 9)

P = 22a - 18

2)

P = 22a - 18

P = 22(3) - 18

P = 66 - 18

P = 48

3)

P = a + b + c

P = 3b + 7 + 7b - 2 + 7b - 2

P = 17b + 3

4)

P = 17b + 3

P = 17(6) + 3

P = 102 + 3

P = 105

i need help with this​

Answers

Answer:

A) 9 inches per minute

Step-by-step explanation:

36 inches in 4 minutes

36/4 = 9 inches per minute

PLZZ HELP!!!! ASAP PLZ!!!!
XTRA POINTS!!!

Answers

Answer:

38.1 cm²

Step-by-step explanation:

area of full circle = π6² = 113.04 cm²

area of 150° segment = (150/360)(113.04) = 47.1 cm²

triangle base = sin 75° x 6 x 2 = 11.59

triangle height = cos 75° x 6 = 1.553

area of triangle = 1/2(11.59)(1.553) = 9 cm²

150° segment - triangle = 47.1 - 9 = 38.1 cm²

!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Answer:

Im gona guess C but im not 100%

Step-by-step explanation:

In a sale, the price of a sofa is reduced by 70%. The sale price is £255 What is the price before the sale?

Answers

So 255 is 30% of the original price
So what we need to do is divide 255 by 30 to get one percent
255/30=8.5
So 8.5 is one percent of the original price or one hundredth. So to get the original price multiply that by 100 and get 850.
The original price was £850.

Answer:

850

Step-by-step explanation:

Price x .30 (100%-70%)=sales price

price x .30 = 255

price = 255/.30

price = 850

10th grade level LT1

Answers

Don’t think anyone will do this for 5 points.

Answer:

36

AE / AD = AB / AC

51 / 51 + 17 = x / x + 12

51 / 68 = x / x + 12

51 ( x + 12) = 68x (After cross multiplication)

51x + 612 = 68x

612 = 68x - 51x

612 = 17x

x = 612/17 = 36

[tex]\mathtt{: )}[/tex]

Solve for DG


HELP PLEASE

Answers

Step-by-step explanation:

32/24=40/DG

Reducing the fractions to simpler fractions

4/3=40/DG

Cross multiply

4DG=40*3

4DG=120

DG =120/4

DG=30

6. Select all expressions that are equivalent to 1/2 to the third power.
Answer choices:
1/2 half but 2 is divided by 3.
1/8
1/3 to the second power
1/6
1/2x1/2x1/2

Answers

.5^3=0.125

Hope this helps.

I need help with my homework

Answers

Interesting question

0.051x40(0.5+0.01)x40 using distributive property

Answers

Answer:

41.616

Step-by-step explanation:

PLEASE HELPPP

10. (07.04 LC)

If 8x = 48, then x =

Answers

Answer:

6

Step-by-step explanation:

48/8=6

divide each side by 8

Answer:

x = 6

Step-by-step explanation:

If you divide both sides of the equation by 8, then you end up with x = 6.

Someone please help so Last year Tamera made $42,786. How much did she make each month (12 months) ?

Answers

Answer:

3,565.5

Step-by-step explanation:

42,786/12=3,565.5

She made 3565.50 each month

A 4 pound force acting in the direction of (4,-2) moves an object just over 7 ft from point (0,4) to point (5,-1). Find the work done to move the object to the nearest foot-pound

Answers

Answer:

[tex]W=59.7408J[/tex]

Step-by-step explanation:

From the question we are told that:

Force [tex]f=4N[/tex]

Force Direction [tex]\arrow (4,-2)[/tex]

Distance traveled [tex]d_t=7ft \aprrox\ 2.1336m[/tex]

Distance traveled Direction point (0,4) to point (5,-1)

 

Generally the equation for work done is mathematically given by

 [tex]W=force*distance[/tex]

 [tex]W=f*d_t\\W=4*7*2.1336[/tex]

 [tex]W=59.7408J[/tex]

What is a equivalent ratio

Answers

Answer:

Equivalent ratios are just like equivalent fractions. If two ratios have the same value, then they are equivalent, even though they may look very different! In this tutorial, take a look at equivalent ratios and learn how to tell if you have equivalent ratios.

What is the equation for the nth term of geometric sequence 32,48,72

Answers

Answer:

              [tex]\bold{a_n =32\left(\frac32\right)^{n-1}}[/tex]

Step-by-step explanation:

[tex]a_1=32\\a_2=48\\a_3=72\\\\\dfrac{a_2}{a_1}=\dfrac{48}{32}=\dfrac32\\\\ \dfrac{a_3}{a_2}=\dfrac{72}{48}=\dfrac32\\\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac32=r[/tex]

Therefore the formula:

                                     [tex]a_n=a_1\cdot q^{n-1}\\\\a_n =32\left(\frac32\right)^{n-1}[/tex]

Hellllllllllllllllllllppppppppppppppppppppppppp

Answers

Answer:

According to two brainly answer choices it should be Choice A.

15/6

Step-by-step explanation:

SOURCES:

https://brainly.com/question/16451231

https://brainly.com/question/16811984

THIS IS THE WORK OF ANOTHER BRAINLY USER NOT MINE

In this question, we are to get the total number of hours that Irina used in watching the movie which does not include the term used for airing the commercials.

Now to calculate this, let us first take a look at the shaded segmented bar. We can see that out of the 6 horizontal bars, 5 were shaded. What this means is that 5/6 of the hours went into airing the movie while 1/6 of the hour went into airing commercials

Now, mathematically the number of hours she viewed the movie without the commercials can be calculated by adding all these 5/6 hour in the 3 hours

Mathematically that would be 5/6 + 5/6 + 5/6 = 3 (5/6) or simply 3 * 5/6 = 5/2 = 15/6 hours

5 4 2 2 2 2 1 1 3 2 2 3 3 2 1
can someone find the median mode and please show how you got it :)
you will get top answer

Answers

Answer:

mode = 2

Step-by-step explanation:

mode is the most frequently seen number.

median is the average so 5+4+2+2+2+2+1+1+3+2+2+3+3+2+1/15= 2 1/3

Answer:

Median is 2, Mode is 2

Step-by-step explanation:

1,1,1,2,2,2,2,2,2,2,3,3,3,4,5 to get the median you put the number from smallest to large then you x one out on each side until there is only one number left which would be 2

The mode is 2 because it is the most common number (aka it appears the most in the list)

jamal is 8 miles away from his house.he rides his bike home toward home at a speed of 12mph how far away from home is he after a half hour

Answers

Answer:

2 miles

Step-by-step explanation:

12 mph would be 6 miles in a half hour

8 - 6 = 2 miles

URGENT 100 POINTS (all fake answers will be removed and i will take the points back)

Quadrilateral ABCD ​ is inscribed in circle O.



What is ​ m∠A ​ ?

Answers

Answer:

42 degrees (check attachements) hope it helps!

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary. We use that information and angles B and D to find the value of x. Then we use the value of x to find the measure of angle A.

m<B + m<D = 180

2x + 3x - 5 = 180

5x = 185

x = 37

m<A = x + 5

m<A = 37 + 5

m<A = 42

Write all the factors for 64?

Answers

Answer:

1, 2, 4, 8, 16, 32, 64

Step-by-step explanation:

1, 2, 4, 8, 16, 32, 64

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