Answer:
30.6
Step-by-step explanation:
The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. The length of the side j is 30.6 cm.
What is Sine rule?The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,
[tex]\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}[/tex]
where Sin A is the angle and α is the length of the side of the triangle opposite to angle A,
Sin B is the angle and β is the length of the side of the triangle opposite to angle B,
Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.
Given the length of i is 53 cm, while the measure of the ∠I is 120°. Also, the measure of ∠J is 30°. Therefore, the length of the side j is,
[tex]\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}\\\\\dfrac{Sin\ I}{i} =\dfrac{Sin\ J}{j} \\\\\dfrac{Sin\ 120^o}{53} =\dfrac{Sin\ 30^o}{j} \\\\j = \dfrac{Sin\ 30^o \times 53}{Sin\ 120^o}\\\\j = 30.5995 \approx 30.6\rm\ cm[/tex]
Hence, the length of the side j is 30.6 cm.
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Plz help me I am timed
What kind of triangle is shown below?
OA) scalene triangle
OB) right triangle
OC) equilateral triangle
OD) isosceles triangle
Answer:
The answer is equilateral triangle
Answer:
OA) scalene triangle
Step-by-step explanation:
hope this helped also all angles are 60 degrees that's how you know ;)
Given that Jocelyn saved $60 in 8 weeks, predict the number of weeks it will take Jocelyn to save $90. Include in your explanation any assumptions that must be made in order to make the prediction. Enter your explanation in the space provided.
number of weeks: w is the x value, and the number of money saved: m is the y value. First, we need to find out how much she makes in 1 w and because k = y/x, we need to divide 60 by 8, which gives u 7.5, so she saves $7.50 every week Finally, we figure out the number of weeks it takes her to save $90, and to do that, we use the formula x = y/k. Using that formula, we get the expression $90/$7.50 or $90/$7.5. 90/7.50 = 12, so x = 12. It will take her 12 weeks to save $90. In order to check our answer, we can say that we didn't know the number of m she saved, but we do know how many weeks. To find a solution, we use the formula y = kx (the blank between kx means that we are multiplying). Using that formula, we get the equation 12 X 7.50. When we solve this equation, we get 90, and since it is the same answer as the real problem, that means the answer for the real problem is correct. (BTW sorry this is so long)
Anyone know the answer?
Answer:
kira put the points in the wrong places
I have alot of questions
Answer:
The coordinates of the vertex D. are (2, -5)
The coordinates of the vertex E. are (3, -2)
The coordinates of the vertex F. are (6, -4)
Step-by-step explanation:
The point D of the graph is located +2 on the x-axis and -5 on the y-axis
The point E of the graph is located +3 on the x-axis and -2 on the y-axis
The point F of the graph is located +6 on the x-axis and -4 on the y-axis
I hope that this helps! :)
2. Write a quadratic function given the roots (4,0) and (2, 0) and the point 2 points
(3, 4). (2 pts) *
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y = -4(x - 2)(x - 4) [/tex]
[tex]y = -4 {x}^{2} + 24x - 32 [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The expression for the quadratic function will be y = -4x² + 24x - 32.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that a quadratic function given the roots (4,0) and (2, 0). The quadratic equation will be formed as below:-
The two roots of the quadratic equation are 2 and 4 then the two factors will be ( x- 2 ) and ( x - 4).
y = -4(x-2)(x-4)
y = -4x² + 24x - 32.
Therefore, the expression for the quadratic function will be y = -4x² + 24x - 32.
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can anyone help me with this one...
A package of cookies includes 54 chocolate chip cookies. Peter is going to split these cookies with 4 of his friends. Write an expression to represent the situation.
Please help!!!...
Answer:
13 and a half
Step-by-step explanation:
54 / 4 simple math honey, let me know if you need more help my door is always open!
An expression to represent the situation is 54/4.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, a package of cookies includes 54 chocolate chip cookies.
Peter is going to split these cookies with 4 of his friends.
So, the expression is Total number of cookies/Number of friends
= 54/4
= 13.5
Therefore, an expression to represent the situation is 54/4.
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3. There are 156 students in an after-school program. The program director would like to split the
students into groups of equal sizes with no students left over. She wants at least 4 but no more
than 12 students in each group. Describe the possible number of groups and students in
each group.
Answer:
well you could do 26 groups of 6 people
Step-by-step explanation:
Which expression is equivalent to y^3-2y^2+y
Answer:
the first one i did it yesterday
If a/b and x/y represent rational expressions and b0 and y0, what is true of their product? Select three options.
The product is equivalent to ay/bx
The product is a rational expression.
The product is equivalent to a/y(x/b)
The product is the ratio of ax and by.
The product is equivalent to ax/b(y)
Answer:
It’s the 2nd,3rd,and 4th
Step-by-step explanation:
I just took the quiz
Answer:
2,3,4
Step-by-step explanation:
Which equation has a constant of proportionality equal to 1/2?
Answer:
y=1/2x or y=.5x
Step-by-step explanation:
Free Brainlyest for who says bababoi first
Answer:
bababoi .. yay I did something
Answer:
bababoi
Step-by-step explanation:
bababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoioibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoi
What is the value of -16 divided by 2.5
What is the blank answer?
Answer:
you.. need to provide a picture
Step-by-step explanation:
pls help Eithan needs to divide theese base ten blocks (9 ten blocks and 6 one blocks)
HOW MANY WOULD BE IN EACH GROUP?
Answer:
carrot
Step-by-step explanation:
give me brainlyist i never got it pls bt i have snap if you want im a girl
Can y’all answer the middle one Ill mark you brainlist.
Answer:
4.44 infinet
Step-by-step explanation:
If you are asking and need to round it up it will come up to
4.444
You need to round it up because the 4.444 goes on and on infinitely.
If you needed another answer comment what it is you need and I will answer you on there.
YW
Which linear inequality is represented by the graph?
PLEASE HELP
Answer:
It would be c.
I hope that helps
Step-by-step explanation:
If you look at (0,0) you can see that if you go up two it will be right across second point.
Which of the following numbers of identical kits can Ms. Tyson make?
Answer:
answer is 1, 2, 6
Step-by-step explanation:
Answer:
1,2, and 6
Step-by-step explanation:
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Answer:
its A
Step-by-step explanation:
Michael’s $1200 car insurance is paid bi-yearly. The second payment is three times the first payment. Find the amount of the first and second payment.
Which statement describes how to determine it a relation given in a table is a function?
If none of the outy values are repeated, the relation is a function.
It none of the input values are repeated, the relation is a function
If any of the input values are equal to the output values, the relation is a function
It all the output values are paired with the same input value, the relation is a function.
WILL GIVE BRANLIEST
Answer:
all of the above
Step-by-step explanation:
please help i’m begging you i’ll give brainlu
Answer:
3 X 5.25 + 2 X 2.00 + 2.25 = 15.75 + 4.00 + 2.25 = $22.00
What is mA?
Enter your answer in the box.
Answer:
X=3.75
Step-by-step explanation:
A=24.25
I guess
Divide the binomial by the monomial to find the quotient.
Answer:
9x²-36[tex]y^{5}[/tex]
Step-by-step explanation:
What is the length of the missing side of this triangle? *
Answer:
8.9
Step-by-step explanation:
- there are two given sides and its a right angle triangle so you can use pythagoras
- 12^2 = 8^2 + y^2
- rearrange
y = [tex]\sqrt{(12)^2 -(8)^2}[/tex]
y = 8.9
Enter the decimal represented by the shaded square.
The shaded square represents
Answer: the shaded squares are equal to 0.3
In 1986 a family member invested$ 100 each month into savings account with an interest rate of 0.25% that didn't change. In 2016 you decided you needed to use that saved up money for a big purchase so you cash the savings account out
Complete question is;
In 1986, a family member invested $100 each month into a savings account with an interest rate of 0.25% (that didn't change). In 2016, you decided you needed to use that saved up money for a big purchase, so you cash the savings account out.
How much money should be in the account using the FV formula?
Answer:
FV = $107.78
Step-by-step explanation:
We are given;
Present value; PV = 100
Interest rate; r = 0.25% = 0.0025
We are told the PV was in 1986 and In 2016 you decided you needed to use that saved up money .
This is a period of 30 years.
Thus, the number of compounding periods is n = 30
Formula for FV is;
FV = PV(1 + r)ⁿ
FV = 100(1 + 0.0025)^(30)
FV = $107.78
Help plssssssssssssssss
Answer:
less than 5
Step-by-step explanation:
im pretty sure
I need help solving this
Answer:
It's D.
Step-by-step explanation:
31-4 = 27 , 63 + 27 = 90 :) so the answer's D. 31
Answer:
D) 31
Step-by-step explanation:.
It is a right angle. All right angles equal 90°. So the two angles add up to 90
90= 63 + x - 4
Add 4 to each side
94 = 63 + x
Subtract 63 to each side
31 = x
(5x + 2) 6x
Solve for x and y
X =
y =
Answer:
x = 8
y = 138
Step-by-step explanation:
PLEASE HELP ASAP
Use trigonometry to resolve the following vectors into components. Describe the vectors
using vector notation.