Analyze the diagram below and complete the instructions that follow.
8
60°
30°
Find the value of y.
Answers
Answer:
C
Step-by-step explanation:
I used the law of sines in the right triangle
The value of y from the trigonometric relation of triangles is y = 4
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 first triangle be represented as ΔABC
Let the second triangle be represented as ΔADB
And , the side AB is the common side of both the triangles
Now , the measure of ∠ABC = measure of ∠ABD = 90°
So , the triangles are similar triangles
And , corresponding sides of similar triangles are in the same ratio
On simplifying , we get
From the trigonometric relations , we get
sin 30° = opposite side / hypotenuse
sin 30° = y/8
( 1/2 ) = y / 8
Multiply by 8 on both sides , we get
y = 8/2
y = 4
Therefore , the value of y is 4
Hence , the trigonometric relation is solved and the value of y is 4
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Related Questions
WILL MARK BRIANLEST!!!!!!!!!! Find the relationship between the quantities in the table. Then use the relationship to calculate the missing value in the table.
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 9, 18, A, 36.
The relationship between the quantities in the table is x
+ 16
equals y.
A =
Answers
Answer: A=9
Step-by-step explanation:
The equation for this table is x+16 =Y.
To solve for Y, we must plug in. (in other words, substitute the letters with (known) numbers).
A is in the 3rd row under the Y column. Hence, we will use the X value found in the same row, which is 3.
A= x+16
A= 3+16
A= 19
Hope this helps :)), brainliest would be appreciated :D
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
What is the perimeter of quadrilateral A'B'C'D'?
Quadrilateral ABCD is translated 2 units to the left and 5 units down to create quadrilateral A'B'C'D'.
Answers
Which graph represents the inequality?
Answers
Answer:
-34.5 > x
Step-by-step explanation:
The dot is on -34.5 and x is less than -34.5, so the line has to be pointing to the left.
Please answer this question asap!!!!!!!!1
Answers
Answer:
i think its 2400 square metres
Step-by-step explanation:
Answer:
3656.64 m^2 to nearest hundredth.
Step-by-step explanation:
Area = area of rectangle + area of a circle
The radius of the circle = 1/2 * 40 = 20.
Area = 40*60 + π*20^2
= 3656.64 m^2.
I have 60% on my iPad and my brother has 90% on his how much more percentage I need as a fraction.
Answers
Answer:
1/3
Step-by-step explanation:
just convert it?
3/10
Step-by-step explanation:
60% is the same as 60/100
90% is the same as 90/100
90-60=30
30/100
30/100 is divided by 10 on each side to simplify it to 3/10
Please help me thank you.
Answers
Answer:
5²+12²= x²
25+144= x²
169 = x²
13 = x
Ans :- 13 inches
7²+24²=x²
49+576=x²
x= 25
Ans :- 7,24,25
Answer:
1) 13 inches
2) 7,24,25
Step-by-step explanation:
2, 3, 5, 9, 17, 22, 31, 39
Regina kept track of the points she scored during her team’s first eight basketball games. What is Regina’s mean score?
Responses
A 3939
B 1616
C 3737
D 1313
E 17
Answers
Answer:
Mean = 16
Step-by-step explanation:
MEAN can be find bg the sum of all score divided by the amount of the score.
Mean = total amount / number of amount
Total amount = 2 + 3 + 5 + 9 + 17+ 22 + 31 + 39
= 128
number of amount = 2, 3, 5, 9, 17, 22, 31, 39
= 8
Then we can calculate mean as
Mean = 128/8
Mean = 16
2+3+5+9+17+22+31+39=128
128/8=16
Help me solve the picture below
Please show the steps on how you did it than you
Express your answer as a mixed number in simplest form
Answers
This is your answer.
One more please help
Answers
Answer:
..,.
Step-by-step explanation:
-18 -13 -2 2 9 11
Explanation:
Negatives are always less than positives & the higher the negative number the less it is because it’s further from 0
?????????????????????????????????????????????????????????????????????????????????????????????????//
Answers
Answer: 9/4 or 2 and 1/4 cupcake
Step-by-step explanation:
Jalen and his 2 brothers = 3 people
Each ate 3/4
3 people times the amount they each ate
3 x 3/4 = 9/4 or 2 and 1/4
write an expression for the amount of sugar Farid needs to make 1/2 of a batch of muffins.
Answers
Answer:
\(\dfrac{3}{4} \ * \ \dfrac{1}{2}\)
Explanation:
Full batch requires \(\sf\frac{3}{4}\) cups of sugar.
she is making half the batch so we shall half it.
\(\sf\frac{3}{4}\) ÷ 2 → \(\sf\frac{3}{8}\) → 0.375note: we can write x ÷ 2, as \(* \ \sf\dfrac{x}{2}\)
She is making half batch only, So she will require the half amount of sugar which means we need to multiply 1/2 and 3/4
\( \frac{1}{2} \div \frac{3}{4} \)
\( \frac{1×3}{2×4} \)
\( \frac{3}{8} \)
She will require 0.375 cup of sugar for making 1/2 batch...~
Karl evaluated -4 + x for x + -9 1/2 and got an answer of 5 1/2 what might the student have done wrong?
Answers
Answer:
ed 34 #o 86 ed corrector finome
Answer:
The student did not find what X is first and decided to subtract -4 from -9 and gave the student 5 then they just added the 1/2 to the answer.
Step-by-step explanation:
Which of the following numbers is written in scientific notation?
A. 17
B. 17 × 106
C. 3.734 × 10–14
D. 3.734
Answers
Answer:
i think is b
Step-by-step explanation:
help pls pls pls ill give brainiest if done in under 5 mins
Answers
Answer:
Perimeter = 14
Step-by-step explanation:
- Calculating the distance AB between (2,-6) and (5,-6)
AB = Square Root((x2 - x1)2 + (y2 - y1)2)
AB = Square Root((5 - 2)2 + (-6 - -6)2)
AB = Square Root((32 + 02))
AB = √(9 + 0)
AB = √9
AB = 3
- Calculating the distance BC between (5,-6) and (5,-2)
BC = Square Root((x2 - x1)2 + (y2 - y1)2)
BC = Square Root((5 - 5)2 + (-2 - -6)2)
BC = Square Root((02 + 42))
BC = √(0 + 16)
BC = √16
BC = 4
- Calculating the distance CD between (5,-2) and (2,-2)
CD = Square Root((x2 - x1)2 + (y2 - y1)2)
CD = Square Root((2 - 5)2 + (-2 - -2)2)
CD = Square Root((-32 + 02))
CD = √(9 + 0)
CD = √9
CD = 3
- Calculating the distance AD between (2,-6) and (2,-2)
AD = Square Root((x2 - x1)2 + (y2 - y1)2)
AD = Square Root((2 - 2)2 + (-2 - -6)2)
AD = Square Root((02 + 42))
AD = √(0 + 16)
AD = √16
AD = 4
- Perimeter
Perimeter of ABCD = AB + BC + CD + AD
Perimeter of ABCD = 3 + 4 + 3 + 4
Perimeter of ABCD = 14
HELP PLEASE!!!!! PLEASE EXPLAIN WHEN GIVING THE ANSWER!!!! GIVING BRAINLIEST TO THE BEST EXPLANATION!!!!
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.
Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did Sarah earn?
Answers
Answer:Simplificando
5 (2j + 3 + j) = 0
Reordene os termos:
5 (3 + 2j + j) = 0
Combine termos semelhantes: 2j + j = 3j
5 (3 + 3j) = 0
(3 * 5 + 3j * 5) = 0
(15 + 15j) = 0
Resolvendo
15 + 15j = 0
a verdadeira questão é por que o vizinho de Sarah quer dentes de tubarão
Step-by-step explanation:
Mova todos os termos contendo j para a esquerda, todos os outros termos para a direita.
Adicione '-15' a cada lado da equação.
15 + -15 + 15j = 0 + -15
Combine termos semelhantes: 15 + -15 = 0
0 + 15j = 0 + -15
15j = 0 + -15
Combine termos semelhantes: 0 + -15 = -15
15j = -15
Divida cada lado por '15'.
j = -1
Simplificando
j = -1
Tubarão ou cação é um tipo de peixe de esqueleto cartilaginoso e um corpo hidrodinâmico (com exceção dos Squatiniformes, Hexanchiformes e Orectolobiformes)
i need help with these two problems ( 5 stars and brainliest ) image below
Answers
Answer:
Ex.7
Clock tower 1,3
Art museum 2,4
East Park 4,4
Movie theater 4,1
School 4,5
Ex. 8
Lucy's house 3,5
Ainsley's house 5,2
Answer:
Clock Tower (1,3)
Art Museum (2,4)
East Park (4,4)
movie theater (4,1)
School (4,5)
Lucy's House (3,5)
Ainsley's House (5,2)
What is the measurement of the longest line segment in a right rectangular prism that is 11.2 centimeters long, 6.6 centimeters wide, and 6 centimeters tall?
Answers
Answer:
Step-by-step explanation:
3.1313109
Answer: the answer should equal 3.131
Step-by-step explanation: as this is the measurement of the longest line in right rectangular prism.
Please got brainliest
can some one please help me?
Answers
Answer:
here's a tip: (use the equation to get the triangle area/length, then find the surface area of the entire thing). Anyways, I think the answer might be ether 268m squared or 853m squared.
Step-by-step explanation:
Hope this helps you!
Answer:
402.62
Step-by-step explanation:
4*22=88
7.21*22=158.62
6*22=132
2((6*4)/2)=24
add them all up=402.62
Could someone please do me a favour? Create TEN expressions with four or more terms per expression. Solve it using BEDMAS. Don't make complicated expressions. :)
Answers
Answer:
explanation down below
18+3-5+6*4=
4+2*(18/3)=
7/7*2-10=
(8+9+10)+4*3/2=
25-7+6*2=
(2*3)*2/9=
(5*2)+4+4/9=
6*2/4+2=
5^2+5/6+10=
7^2+1/10+5/2=
Step-by-step explanation:
18+3-5+6*4=
18+3-5+24=
21-5+24=
16+24=
40
4+2*(18/3)=
4+2*6=
4+12=
16
7*2/7-5=
14/7-5=
7-5=
2
(8+9+10)+4*3/2=
27+4*3/2=
24+12/2=
24+6=
30
25-7+6*2=
25-7+12=
18+12=
30
I didn't finish sry
The ten expressions that requires BEMAS solution are: + 3 x 2 - 5 ÷ 1
2 x 3 + 8 ÷ 4 - 110 ÷ 2 + 5 - 3 x 27 - 4 x 3 + 2 ÷ 15 x 2 + 4 - 6 ÷ 33 ÷ 1 + 4 x 2 - 76 - 2 ÷ 1 + 5 x 39 + 1 x 2 - 4 ÷ 212 ÷ 3 - 1 x 5 + 28 - 6 ÷ 2 + 3 x 1What are the solutions of the expression?
Now, let's solve each of these expressions using the BEDMAS rule:
(1) 4 + 3 x 2 - 5 ÷ 1 = 4 + 6 - 5 = 5
(2) 2 x 3 + 8 ÷ 4 - 1 = 6 + 2 - 1 = 7
(3) 10 ÷ 2 + 5 - 3 x 2 = 5 + 5 - 6 = 4
(4) 7 - 4 x 3 + 2 ÷ 1 = 7 - 12 + 2 = -3
(5) 5 x 2 + 4 - 6 ÷ 3 = 10 + 4 - 2 = 12
(6) 3 ÷ 1 + 4 x 2 - 7 = 3 + 8 - 7 = 4
(7) 6 - 2 ÷ 1 + 5 x 3 = 6 - 2 + 15 = 19
(8) 9 + 1 x 2 - 4 ÷ 2 = 9 + 2 - 2 = 9
(9) 12 ÷ 3 - 1 x 5 + 2 = 4 - 5 + 2 = 1
(10) 8 - 6 ÷ 2 + 3 x 1 = 8 - 3 + 3 = 8
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What does the passage suggest a person do to prepare for the test? Take a look at the picture!
Answers
Answer:
C
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
What is the exponential form of the expanded form below? Giving 100 points answer quickly please!,!
Answers
Answer:
last or 4th option : 10^5
Step-by-step explanation:
10^5 means 10 multipled 5 times
the unit rate is 3 right?
Answers
Answer:
5 1/3 grams per serving
Step-by-step explanation:
3/4 × 4/3 = 1
4 × 4/3 = 5 1/3
Describe how the shape moves to get from its position in each frame to the next.
Answers
Answer:
reflection
Step-by-step explanation:
from 1 to 2 it is reflection across the y-axis and from 2 to three it is reflection across the x-axis then 3 to 4 it is reflected across the y-axis again and then from 4 to 5 it is reflected across the x-axis.
Answer:
It's reflection
Step-by-step explanation:
Reflection THANKS!
HELP ASAP! GIVING BRAINLIEST!
Robin helped her mom set a banquet table for dinner. She noticed that the width of the table was a third of its length. If the width is 6 feet, write and solve an equation to determine its length.
L over 3 equals 6; L = 18 feet
3L = 6; L = 2 feet
3 + L = 6; L = 3 feet
L − 3 = 6; L = 9 feet
Answers
W = 6
W x 3 = L
L = 18
so your answer is L over 3 equals 6; L = 18 feet.
Answer :answer is L over 3 equals 6; L = 18 feet
i know this has already been answered but im still a little confused 19x+rx=-37x+w
Answers
Answer:
new 10 marks will be why you're giving 5 marks please give 10 marks
heeeeeeeeeeeeeeeeelp me
Answers
i thought it was if question but it is just 9
Answers
Answer:
17-d=5
Step-by-step explanation:
Hope this helps :)
17-D=5
During the month of august, Mr. Amazon received junk mail on 25 of those days. What is the relative frequency of Mr. Amazon receiving junk mail?
Answers
Answer:
1.24
Step-by-step explanation:
To find the relative frequency, divide the frequency(f) by the total number of data values (n)
31 days in August / 25 = 1.24
PLEASE HELP IM BEGGING YOU
Answers
Answer:
Step-by-step explanation:
I got dared to SORRY