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
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Related Questions
I dont really understand this question. I WILL GIVE BRAINIEST thank you to anyone who helps:)
Answers
Answer:12 out of 9 chances
Step-by-step explanation:
Answer: 9/24 or 3/8(simplified).
Step-by-step explanation:
Okay first let's break it down.
The spinner has a 1/4 chance of landing on blue.
The spinner has a 1/2 chance of landing on red.
The spinner has a 1/4 chance of landing on green.
The spinner has a 3/4 chance of landing on red or blue
The spinner has a 3/4 chance of landing on red or green.
The spinner has a 1/2 chance of landing on blue or green.
A 6-sided die has a 1/2 chance of landing on either even or odd.
The question first asks the probability of spinning a red or blue.
So first, you need to know how many parts of the spinner of the four sections are red and blue. It's 3/4. There are 3 even numbers on a six-sided die so that's 3/6 or 1/2. Next, multiply these probabilities to get 9/24 or 3/8.
An article is bought for Rs 100 and sold for Rs 125. What
is the profit percentage?
(Ans: 25%
Answers
Answer:
25%
Step-by-step explanation:
125 - 100 = 25
25 / 100 = 0.25
0.25 * 100 = 25%
A three-dimensional L-shaped figure is made of two rectangular prisms joined at a right angle. A horizontal rectangular prism has a length of eight inches, a width of two inches, and a height of two inches. A vertical rectangular prism connected at the right end of the other prism has a length of two inches, a width of two inches, and a height of eight inches. What is the total volume of the composite figure?
Answers
The total volume of the composite figure is 64 in³.
Volume of a rectangular prismThe volume of a rectangular prism, V = lwh where
l = length, w = width and h = heightVolume of horizontal rectangular prismSince horizontal rectangular prism has a length of eight inches, a width of two inches, and a height of two inches. So,
l = 8 in, w = 2 in and h = 2 in.So, its volume V' = lwh
= 8 in × 2 in × 2in
= 32in³
Volume of vertical rectangular prismSince the vertical rectangular prism connected at the right end of the other prism has a length of two inches, a width of two inches, and a height of eight inches. So,
l = 2 in, w = 2 in and h = 8 in.So, its volume V" = lwh
= 2 in × 2in × 8 in
= 32 in³
Volume of composite figureThe volume of the composite figure V"' = V' + V"
= 32 in³ + 32 in³
= 64 in³
So, the total volume of the composite figure is 64 in³.
Learn more about volume of rectangular prism here:
https://brainly.com/question/16065525
Find the slope of the line y= -2/3x
Answers
_______________________________
Explanation:
y=mx+b
m= slope
-2/3=m
What is the image of (9, 12) after a dilation by a scale factor of į centered at the
origin?
Submit Answer
attempt 1 out of 2
Answers
Answer:( 3, 4)
Step-by-step explanation: :)
Is (5,-4) a solution?
(I’ll mark you the brainliest!)
Answers
Answer:oh it is - 5 I had this in my questions for homework
Step-by-step explanation:you have to multiply and subtract and do that many times
Help me now or else.
Answers
Answer: c. -3.8
Step-by-step explanation:
-9 1/5-10+2/5+2(14 1/2-70 simplifies to -46/5-10+2/5+2(29/2-7)
reduce numbers: -46/5-10+2/5+2x15/2
-46/5-10+2/5+15
-44/5+5= -19/5 = -3.8
For every vote Bryan got for class president, Will got three votes. What is an equivalent ratio to the situation described?
Answers
Answer:
An equivalent ratio would be 1:3 because when Bryan gets one vote, Will gets 3.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
Which answer is correct??
Answers
Answer:
8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
y
2
−3=1
1
2
y+−3=1
1
2
y−3=1
Step 2: Add 3 to both sides.
1
2
y−3+3=1+3
1
2
y=4
Step 3: Multiply both sides by 2.
2*(
1
2
y)=(2)*(4)
y=8
Answer:
C.
Step-by-step explanation:
Replace y with each value.
If y is 2 then the answer would be -2
If y is 4 then the answer would be -1
If y is 8:
8/2 = 4
4-3 = 1
Please mark brainliest if this answer helped.
Happy Learning!
* ill mark u BRAINLIEST *
Alexa had $68, she spent $24 at the library, and $35 at the shoe store. Determine if she can afford a $12 shirt. Explain your answer.
Answers
Answer:
No
Step-by-step explanation:
$68 - $24 - $35 = $9
$9 < $12
Therefore, Alexa can't afford to buy a $12 shirt
Answer:
no
Step-by-step explanation:
24+35=59
59+12=71
so, it does not work
Choose the correct simplification of the expression a^9 multiplied by b^10/a^2 multiplied by b^7
A^11b^17
1/a^11b^17
1/a^7b^3
A^7b^3
Answers
Answer:
a^7 b^3
Step-by-step explanation:
The question can be interpreted as
[(a^9)( b ^10)] / [(a^2 )×( b ^7)]
Then we can bring the denominator up, which means the power on the denominator will become (-ve) once it comes to the numerator side. Then we have
a^(9-2) × b^(10-7)
We can simplify by performing substraction on the power
= a^7 b^3
HELP NEEDED!!!! this is for math and needs to be due at 8. please help me!
Answers
Answer:
1/3
Step-by-step explanation:
So remember slope is y/x.
THe y value is 1st y minus 2nd y. In this case 6-4. This gets you 2
The x value is 1st x minus 2nd x. In this case 8-2. This gets you 6
Put the y and x value into your fraction(y/x) and you get 2/6.
This can be simplfyied as 1/3
Answer
1/3
Ti⊂k∫∈s ω∅∅p
PLZ HELP!! I RLY NEED IT!! Josie selected 6 books from thr library. However, he can only check out 4 books at a time. How many possible selections can he make?
Answers
Answer:
4 selections
Step-by-step explanation:
We are told in the question that:
Josie selected 6 books from the library. However, he can only check out 4 books at a time.
The number of possible selections can he make is 4 selections. This is because, He can only take 4 books out of the library at a time. This is the standard.
At a party there are 90 people.
48 are women and 42 are men.
Some women leave.
Some men arrive.
The ratio of women to men is now
10:11
Are there now more than 90 people at the party?
Show working to support your answer.
Answers
Answer:
No
Step-by-step explanation:
Originally:
48:42
If some leave and some arrive = 10:11 given in question
So 48- 8 leave = 40 women
Therefore 42+2=44
Now the ratio is 40:44 (Actual amount of people)
When you simplify/ divide by 4 = 10:11
Total amount of people is 40+44= 84 which is less than 90
which question can be answered using the expression 1/3 didvied by 3/4
Answers
Answer:
1/3 divided by 3/4 = 0.44
Step-by-step explanation:
1/3 (0.33) divide by 3/4 (0.75) = 0.44
What is the best definition for “sample” as used in statistics? *
Mark only one oval.
the entire population of the group
a part of the population that represents the entire population
a measure of how much the values within a population vary
Answers
Answer:
a part of the population that represents the entire population
Step-by-step explanation:
Answer:
a part of the population that represents the entire population
Step-by-step explanation:
A sample simply refers to a smaller group of observation usually drawn from a larger group or a collection of the total possible observation that fits a particular or specific characteristic(population). This smaller group or subset of observation is usually chosen to be representative of the larger group of population. Representative Samples are usually obtained by drawing at random from the population and are very important where using the entire population for a study seems impossible or very expensive or intensive.
Mark ME AS BRAINLIEST
Please Help Me with this Question. I do not understand it.
Answers
Answer: 30
Step-by-step explanation:
the formula for the area of a triangle is base times height divided by 2
A=bh/2
the base in this triangle is 15 and the height is 4
(15)(4)/2
60/2
30
13 ft 10 ft 18 ft Find the area of the trapezoid. [?] square feet
Answers
Step-by-step explanation:
A=a+b
2h=13+10
2×18=207
formula a=a+b/2×18
Please help me with 1,2,3,4,5,6,7,8,9 tell me how u get it and the answer please I really need help
Answers
Answer:
1) x = 15
Step-by-step explanation:
We use the Pythagorean thm for these questions. Where a and b are the legs (So order doesn't matter), and where c is the hypotenuse
1)
a² + b² = c²
9² + 12² = x²
81 + 144 = x²
x² = 225
You square root each side so you can get rid of the exponent on x.
[tex]\sqrt{x^2} =\sqrt{225}[/tex]
x = 15
Hi, can someone help with these two questions ASAP! (Ignore the multiple choice I circled, not sure if it’s correct)
Thanks!!
Answers
Answer:
1) D. [tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]
2) E. The coefficient of [tex]x[/tex] is -16.
Step-by-step explanation:
1) A polynomial is an algebraic expression of the form [tex]p(x) = \Sigma \limits_{i = 0}^{n} c_{i}\cdot x^{i}[/tex], where [tex]n[/tex] is the grade of the polynomial. In this case, the only equation that satisfies this definition is:
[tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]
Correct answer: D
2) Let [tex]p(x) = (2\cdot x + 1) \cdot (5\cdot x^{3}-8\cdot x +4)[/tex], we proceed to expand the expression by algebraic means:
[tex]p(x) = (2\cdot x + 1)\cdot (5\cdot x^{3}) -(2\cdot x +1)\cdot (8\cdot x) + 4\cdot (2\cdot x + 1)[/tex]
[tex]p(x) = 10\cdot x^{4}+5\cdot x^{3}-16\cdot x^{2}+4[/tex]
We see that coefficients for [tex]x^{2}[/tex] and [tex]x[/tex] are -16 and 0, respectively. Hence, the incorrect answer is E.
Sales Hester sells televisions. She ears a fixed amount for each television and an additional $20 if the buyer gets an extended warranty Hester sels 14
televisions with extended warranties, she earns $1,050. How much is the fixed amount Hester eams for each television?
The fixed amount Hester eams for each television she sells is $
Pleaseeee help me
Will mark brainliest
Answers
Total earned for the warranties: 14 x 20 = 280
Subtract warranty amount from total:
1050-280 = 770
Divide by total TVs:
770/14 = 55
She earns $55 per tv.
1. The top surface of a model building is composed of 2 rectangles and a triangle. Some side lengths of the top surface of the counter are shown. What is the area of the top surface of the model building.
Answers
Answer:
8.625 feets²
Step-by-step explanation:
Based on measurement illustrated in the attached picture :
There are two rectangles and one triangle :
Area of first rectangle :
Area = Length * width
Length = 1.5 ft ; width = 2.5 ft
Area = 1.5 * 2.5
Area = 3.75 ft²
Area of triangle = 1/2 * base * height
Base = 1.5 ; height = 1.5
Area = 1/2 * 1.5 * 1.5
Area = 1.125 ft²
Area of second rectangle :
Area = Length * width
Length = 1.5 ft ; width = 2.5 ft
Area = 1.5 * 2.5
Area = 3.75 ft²
Total area :
(3.75 + 3.75 + 1.125) feets
= 8.625 feets²
if you are graphing and you are at -1 and then you move did you subtract or add
Answers
Answer:
It depends on which way you want to move.
Step-by-step explanation:
Someone help and please make sure it’s right?
Answers
Answer:
I think it is 8.8 yards because its not bigger than 10 and not smaller than 6
Which statement is true about the factorization of 30x2 + 40xy + 51y2?
A.B.C.D
Answers
The blue figure is a dilation of the red figure. Identify the type of dilation and find the scale factor.
The dilation is
an enlargement
.
Question 2
The scale factor is
.
Answers
The dilation is
an enlargement
.
Question 2
The scale factor is
.
50 POINTS!!! Nadeem is training for a bicycle race. On Monday, he bicycled for 30 minutes at 30 miles per hour. He rested for 10 minutes and then bicycled for 20 minutes at 36 miles per hour. Complete the table below and or draw the distance-time graph. (I JUST NEED THE GRAPH PART GIVING BRAINLIEST FOR BEST GRAPH)!!!
Answers
Answer:
your two points would be 30 minutes and 15 miles then 60 minutes and 18 miles
Find the missing length indicated. Leave your answer in simplest radical form.
How do I set up the proportion for this?
Answers
Step-by-step explanation:
AB = X
AC² = AD × AB
60² = 36 × AB
3600 = 36 × AB
AB = 3600/36
AB = 100
So, if AB = X then the value of X is 100.
#CMIIWo is the centre of the circle if ab equals 6 units oc perpendicular to ab with m on ab, and mc equal one unit find the length of om
Answers
The graph of a quadratic function has a vertex (3,-1). What is the domain and the range? The graph is pointing downward
