Answers
Answer:
[tex]\displaystyle \sin A=\frac{1}{3}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of the triangle is called the hypotenuse and the other two sides are called the legs.
We are given a triangle with side lengths of 3, [tex]\sqrt{72}[/tex], and 9, where 9 is the hypotenuse. Before applying the trigonometric ratios, we must check if the triangle is right, and the Pythagora's theorem is satisfied:
[tex]9^2=3^2+(\sqrt{72})^2[/tex]
81=9+72=81
Now we're sure it's a right triangle, we apply the sine formula:
[tex]\displaystyle \sin A=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
The opposite leg to A is 3, and the hypotenuse is 9, then:
[tex]\displaystyle \sin A=\frac{3}{9}[/tex]
Simplifying:
[tex]\boxed{\displaystyle \sin A=\frac{1}{3}}[/tex]
Related Questions
I NEED HELP PLEASE ASAP
Answers
Answer:
Answer choice C is correct
Step-by-step explanation:
1. A worker in a company work 7 hours in a day, there are 22 working days in a month other than working hours each worker works 8 extra hours in a month, how many hours a worker is working in a full month?
Answers
Answer: A worker is working 162 hours in a month.
Step-by-step explanation:
Working hours per day = 7
Total working days = 22
Extra hours per month = 8
Total hours a worker works in a month = (Working hours per day) x (Total working days) +(Extra hours per month)
Total hours works in month = = 7 x22+8
= 154+8
= 162 hours
Hence, a worker is working 162 hours in a month.
What is the 25th term of the sequence, where a_1=3
3,7,11,15,19
Answers
Answer:
99
Step-by-step explanation:
just add lol
Elsie bought a video game for 85$. if the store charges 170% of its cost for the game, how much is the store's profit?
Answers
Answer: $59.5
170/100 * 85 = 144.5
144.5 - 85 = 59.5
If that is wrong my next guess is $144.50
An angle measures 24º more than the measure of its complementary angle. What is the
measure of each angle?
What are the two angles please hurry
Answers
Answer:
33, 57
(not 100% sure this is correct)
Step-by-step explanation:
90= x +(24 +x)
(drag 90, plus the x's and drag the 24)
90 = 2x + 24
(Subtract 24 from 24 and 90 from 24)
66 = 2x
(Divide both by two)
33 = x
(now use x and plus it by 24)
24 + x = 57
6. Rudi deposited $100 at the end of each month in an annuity that paid 7.5%
compounded monthly. At the end of 6 years, the interest rate increased to 8.5%.
The deposits were continued for another 5 years. What is the amount of the
annuity at the last deposit? (4 marks)
Answers
Answer:
1005
Step-by-step explanation:
Is the following equation true or false? Explain your reasoning.
(x + 8)2 = x2 + 64
Answers
Answer:
False
Step-by-step explanation:
Which choice is equivalent to the product below?
..
Someone pls help
Answers
Answer:
Answer B
Step-by-step explanation:
√2 * √8 * √4
√8 = √(2*2*2)
√8 = 2√2
√4=2
√2* 2√2 *2
2*2*2
B
A sweater that is regularly priced at $25 is on sale for 25% off.
What is the amount of the discount?
What is the sale price?
What is the total price of the sweater including the 6.5% sales tax?
need help now plz
Answers
Answer:
Discount = 6.25
Sale Price = 18.75
6.5% tax = 1.21875
Final price = 19.96875 = 19.97
Step-by-step explanation:
25 x .25 = discount
25 - 6.25 = sale price
18.75 × 0.065 = tax
18.75 + 1.21875 = final price
a multiplication that corresponds to each division 10 divided by 5=?, b. 4.5 divided by 3, 1/2 dvided by 4=?
Answers
Answer:
10 divided by 5=2
2*5=10
4.5 divided by 3=1.5
3*1.5=4.5
1/2 divided by 4=1/8
4*1/8=4/8=1/2
can someone help me with this?
Answers
Answer:
12
Step-by-step explanation:
51 ÷ 3 = 17
204 ÷ 17 = 12
hope this helps
Based on the two way frequency table above, what is the percentage of individuals that selected sports cars as their preferred vehicle?
65%
35%
55%
45%
Answers
Answer:
84/240×100=35%
Step-by-step explanation:
hope its correct
Lynda has $32.00 to spend at the grocery store on boxes of macaroni and cheese. The cost is $3 per box. In addition, her mom told her to buy some oranges that will cost $5. Which equation will let Lynda know how many total boxes of macaroni and cheese,m, she can buy?
A.32 = 5m + 3
B.32 = 3m + 5
C.32 = 3(m - 2) - 5
D.32 = 3(m - 2) + 5
Answers
Answer:
B. 32 = 3m + 5Step-by-step explanation:
Total money to spent = $32Cost of macaroni and cheese = $3 per boxNumber of boxes = mCost of oranges = $5Cost of macaroni and cheeses: 3m
Required equation is:
32 = 3m + 5Correct option is B
Maria correctly answered 16 of the 20 questions. What fraction of the questions did she answer correctly?
Answers
Simplified to 8/10
Again simplified to 4/5.
would y=x be proportional or nonproportional?
Answers
Find cos θ for θ = 30°
Answers
Answer:
[tex]\frac{\sqrt{3} }{2} }[/tex]
Step-by-step
substitute θ=30° into the expression
like this cos(30°)
and then use a calculator to calculate the expression
= [tex]\frac{\sqrt{3} }{2} }[/tex]
PLZ HELP Write an algebraic expression for the following phrase. the product of five and k
Answers
Answer:
5k
Step-by-step explanation:
If w is 15 when z is 9, and w varies directly with z, what is the value for z when w is 5?
Answers
Answer:
3 cuh
Step-by-step explanation:
15/3 = 5 9/3= 3
Im thinking of a number 1 give you a clue: it is less than 6.
Show every possible number
Answers
Answer:
x<6
Step-by-step explanation:
x is less than six thats what the answer means
Answer:
5,4,3,2,1
Step-by-step explanation:
A graph showing a proportional relationship will...
Answers
Without a calculator, solve 2 1/3 + 6 3/5 = ?
(answer in fraction form)
Answers
Answer:8 14/15
Step-by-step explanation:
(2+6)+(1/3+3/5)
8+ (1/3+3/5) Find the common denominator
8+(5/15+9/15)
8 14/15
5) Which expression is equivalent to 8(u + 5) *
O 8+40
O 8u +5
O 8(5)
8u + 40
Answers
Answer:
Your answer is 8u+40
Step-by-step explanation:
Here you go mate
Step 1
8(u + 5) equation
Step 2
(u + 5)8 simplify
(8)(u)+(8)(5)
Step 3
(8)(u)+(8)(5) add and subtract it
answer
40+8u
Solve 2x^2 + x - 15 = 0
Answers
Step-by-step explanation:
[tex] \tt{2 {x}^{2} + x - 15 = 0}[/tex]
USING THE QUADRATIC FORMULA :
Here ,
a = 2 , b = 1 and c = - 15Substitute the values into the quadratic equation :
⇾ [tex] \tt{x \: = \: \frac{ - b \: ± \: \sqrt{ {b}^{2} - 4ac} \: }{2a} }[/tex]
⇾ [tex] \tt{x = \frac{ - 1\: ± \: \sqrt{ {1}^{2} - 4 \times 2 \times ( - 15) } }{2 \times 2}} [/tex]
Simplify
⇾ [tex] \tt{x = \frac{ -1 \:± \sqrt{1 - 8 \times ( - 15)} }{4}} [/tex]
⇾ [tex] \tt{x = \frac{ - 1\:± \: \sqrt{1 + 120} }{4}} [/tex]
⇾ [tex] \tt{x = \frac{ - 1 \:± \: \sqrt{121} }{4}} [/tex]
⇾ [tex] \tt{x = \frac{ - 1\: ± \: \sqrt{ {11}^{2} } }{4}} [/tex]
⇾ [tex] \tt{x = \frac{ - 1 \:± \: 11 }{4}} [/tex]
Now , we can split this into two answers because of the plus minus ( ± ) symbol.
Taking positive ( + ) sign :
⇾ [tex] \tt{x = \frac{ - 1+ 11}{4}} [/tex]
⇾ [tex] \tt{x = \frac{10}{4}} [/tex]
⇾ [tex] \boxed{ \tt{x = \frac{5}{2} }}[/tex]
Again , taking negative ( - ) sign :
⇾ [tex] \tt{x = \frac{ - 1 - 11}{4}} [/tex]
⇾ [tex] \tt{x = \frac{ - 12}{4}} [/tex]
⇾[tex] \boxed{ \tt{x = - 3}}[/tex]
☥ [tex] \red{ \bold{ \boxed{ \boxed{ \tt{Our \: final \: answer : x = \frac{5}{2} \: or \: - 3}}}}}[/tex]
⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆
[tex] \underline{ \underline{ \sf{Explore \: more !!}}} : [/tex]
There are various methods of solving quadratic equations. They are as follows :
Solving a quadratic equation by factorisation method : In this method , the second order of polynomial ax² + bx + c is factorised and expressed as the product of two linear factors. Then each linear factors is separately solved to get the required solutions of the equation by applying zero factor property. In zero factor property , if p • q = 0 then either p = 0 or q = 0 .In other words , if the product of two numbers is 0 , then one or both of the numbers must be zero.Solving a quadratic equation by completing the square : In this method , we transpose the constant term ( c ) to R.H.S , then L.H.S to expressed as perfect square expression.Solving a quadratic equation by using formula : In solving a quadratic equation of the form ax² + bx + c = 0 by completing the square , we obtain two roots of x , which are :[tex] \sf{ \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a}} [/tex] and [tex] \sf{ \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a}} [/tex]. These roots can be written as [tex] \sf{x = \frac{ - b \: ± \: \sqrt{ {b}^{2} - 4ac} }{2a}} [/tex] where a is the coefficient of x² , b is the coefficient of x and c is the constant term. We use this formula to find the required solutions of the given quadratic equation.Hope I helped! ツ
Have a wonderful day / night ! ♡
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
The solutions to the quadratic equation [tex]2x^{2} + x - 15[/tex] are x = 2.5 and x = -3.
Given data:
The quadratic equation is represented as [tex]2x^{2} + x - 15[/tex].
Now, the roots are determined as:
[tex]x_{1}=\frac{-b+\sqrt[]{b^{2}-4ac} }{2a}[/tex]
[tex]x_{2}=\frac{-b-\sqrt[]{b^{2}-4ac} }{2a}[/tex]
The value of a = 2 , b = 1, and c = -1.5
Substituting the values in the equation:
[tex]x_{1}=\frac{-1+\sqrt[]{1^{2}-4*2*(-1.5)} }{2*2}[/tex]
So, the value of [tex]x_{1}=2.5[/tex].
[tex]x_{2}=\frac{-1-\sqrt[]{1^{2}-4*2*(-1.5)} }{2*2}[/tex]
The value of [tex]x_{2}=-3[/tex].
So, the roots are x = 2.5 and x = -3.
Hence, the quadratic equation is solved.
To learn more about quadratic equations, refer:
https://brainly.com/question/25652857
#SPJ6
HURRY PLEASEEEEEEE. On a coordinate plane, a point is 0.5 units to the left and 0.75 units down. The x-coordinate of the plotted point is . The y-coordinate of the plotted point is .
Answers
Answer:
-0.50
-0.75
Step-by-step explanation:
trust me
Answer: the person above me is correct^^^^^^^
What is the volume of this aquarium
Answers
Answer:
You can also divide the number of cubic inches by 231 to get the volume in gallons. For example, let's calculate the volume of a rectangular tank that is 20″ long, 12″ wide, and 10″ high.
Step-by-step explanation:
You just worked a week for Jan's Jewels. Your pay before deductions was $101.46 and you worked 19 hours.
How much did you make per hour?
O $4.90
O $5.16
O $5.34
O $6.88
Answers
Ql. What is the slope-intercept equation of the line y-intercept=(0,1), slope =3/4
Answers
Answer:
y = 3/4x + 1
Step-by-step explanation:
Cuatro amigos están en un equipo de baloncesto. Durante un juego, cada amigo llevaba un registro de cuántos tiros intentaron y cuántos de esos intentos hicieron. ¿Qué amigo tuvo el mejor récord en cuanto al número de disparos realizados?
Henry acerto 0.45 de sus tiros
Allison hizo 4/15 de sus tiros
Arthur acerto 8/20 de sus tiros
Trevor fallo el 58% de sus tiros
Answers
Answer:
Allison tuvo el mejor récord
Step-by-step explanation:
Addie increased the amount of chocolate chips she used for the cookie recipe by 45%. The original recipe used 28 ounces of chocolate chips. How many ounces of chocolate chips will Addie use for her recipe?
Answers
Answer:
10%of 28=2.8
40%=2.8 ×4=11.2
5%(half of 10%)=1.4
then you add 40%and 5% which is 11.2+1.4=12.6
(on a calculator you can work percentage by doing 45 percentage button×the amount)
then you add 28 ounces(original)+(increase) which is 12.6=
40.6
Addie will use 40.6 ounces of chocolate for her recipe
Answer:
Step-by-step explanation:
10%of 28=2.8
40%=2.8 ×4=11.2
5%(half of 10%)=1.4
then you add 40%and 5% which is 11.2+1.4=12.6
(on a calculator you can work percentage by doing 45 percentage button×the amount)
then you add 28 ounces(original)+(increase) which is 12.6=
40.6
Addie will use 40.6 ounces of chocolate for her recipe
True or false? 3a+15b is divisible by 3 for any values of a and b.
Answers
Answer:
true
Step-by-step explanation:
its TRUE :)
Answer:
False
Step-by-step explanation:
Take a=-1 and b=-1/7
-3+-15/7=-36/7 which is not divisible by 3. There are several other examples which I don't even need to prove