Answer:
You can use the useful mnemonic: SOH CAH TOA to determine what function to use. Since we have information about the hypotenuse (H) and opposite (O), we should use sine (S) for "SOH".
So yes, sine would be correct.
Hope this helps!
Can someone please help and explain? Will give brainliest to most helpful
Answer:
x = 44
y = 22
Step-by-step explanation:
✔️Find x:
Reference angle = 60°
Hypotenuse = x
Opposite side length = 22√3
Applying the trigonometric FUNCTION, SOH, we have:
Sin 60 = opp/hyp
Sin 60 = (22√3)/x
x × Sin 60 = 22√3
x = (22√3)/Sin 60
x = (22√3)/(√3/2) (sin 60 = √3/2)
x = 22√3 × 2/√3
x = (22√3 × 2) / √3
x = (44√3) / √3
x = 44
✔️Find y:
Reference angle = 60°
Hypotenuse = x = 44
Adjacent length = y
Applying CAH, we have:
Cos 60 = adj/hyp
Cos 60 = y/44
44 × Cos 60 = y
44 × ½ = y (cos 60 = ½)
22 = y
y = 22
Answer:
x=44,y=22
Step-by-step explanation:
sin 60=22√3/x
x=22√3/sin60=44
sin30=y/x
y=sin30×44=22
Question
A county fair attracts large crowds of people every year. Ideally, 280,000 people come to the fair, but this value can vary by
as many as 8,500 people. What are the maximum and minimum numbers of people expected to attend the fair?
Answer:
the maximum amount of people would be 288, 500 and the minimum would be 271,500
Step-by-step explanation:
basically if the average number is 280,000 all we have to do is add and subtract 8,500 to find the maximum and minimum
There could be up to 288.500 persons present, with a minimum of 271,500.
What is an expression?Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
The average number is 280,000 all we have to do is add and subtract 8,500 to find the maximum and minimum.
Maximum = 2800000 + 8500 = 288,500
Minimum = 271,500 - 8500 = 263000
Therefore, there could be up to 288.500 persons present, with a minimum of 271,500.
To know more about an expression follow
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Find the value of each variable in the parallelogram
9514 1404 393
Answer:
k = 7
m = 8
Step-by-step explanation:
The diagonals bisect each other, so each half is equal to the opposite half.
k +4 = 11 . . . . down-sloping diagonal
k = 7
__
m = 8 . . . . up-sloping diagonal
Given
mZAOC = 104°
mZAOB = 7x + 30°
mZBOC = 9x + 42°
Find mZBOC:
Answer:
The answer is 60°
Step-by-step explanation:
From looking at the problem we know that mZAOB and mZBOC make up angle mZAOC.
We also know that mZAOC is 104°
This means that the two other angles have to make up 104°
To figure out mZBOC,
First, you can subtract 30 and 42 from 104.
We do this because it allows us to focus on the variables.
104-30-42=32
Next, we can look at the variables and the coefficients and see that in order for 7x and 9x to make 32, x has to equal 2.
7(2)+9(2)=32
Now that we know what x equals we can substitute it into the equation for mZBOC.
9x + 42°
9(2) + 42°
60°
Thus, mZBOC equals 60°
I need help asap !!! please show how you did the work please please
whats the answer to m=18+12
Answer:
m = 30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
10 + 10 = 20
8 + 2 = 10
20 + 10 = 30
The figure shows two parallel lines cut by a transversal. Which angle pairs are alternate exterior angles? Choose all that apply. Please help PT.3
A. Angle A and Angle G
B. Angle B and Angle H
C. Angle B and Angle F
D. Angle B and Angle G
E. Angle H and Angle A
F. Angle E and Angle D
Answer:
D and E
Step-by-step explanation:
Answer: d and e!
Step-by-step explanation:
:)
Restaurateur Denny Valentine is evaluating two sites, Raymondville and Rosenberg, for his next restaurant. He wants to prove that Raymondville residents (population 1) dine out more often than Rosenberg residents (population 2). Denny commissions a market survey to test this hypothesis. The market researcher used a random sample of X families from each suburb, and reported the following:
1 = X times per month and 2 = X times per month. Assume that σ1 = 2 and σ2 = 3. With α = .01, the appropriate decision is:_________
Answer:
Step-by-step explanation:
From the information given:
let [tex]\mu_1[/tex] be the men of the population 1 (Raymondville) and [tex]\mu_2[/tex] be the mean of the population 2 (Rosenberg).
Here the Restaurateur wants to prove that Raymondville residents dine out more often than Rosenberg residents.
i.e [tex]\mu_1 > \mu _2[/tex]
The null hypothesis and alternative hypothesis:
[tex]H_o : \mu_1 \le \mu_2 \\ \\ H_a: \mu_1 > \mu_2[/tex]
[tex]H_o : \mu_1 \le \mu_2\ \ vs \ \ H_a: \mu_1 > \mu_2 \implies \text{upper tailed test}[/tex]
The shows that this test is one-tailed with the rejection area on the right side.
The appropriate decision: is to reject [tex]\mathbf{H_o}[/tex] if the test statistics is greater than the critical value)
Wilbur landed his plane.
The plane's elevation relative to the ground (in meters) as a function of time (in seconds) is graphed.
8000+
7000
6000
5000 -
Elevation (meters)
4000
3000
2000
1000
200
400
1600
an 00 1009 1200 1400
Time seconds)
Will mark brainiest
Answer plz and ty. i'll give you brainlist if you can give a short explanation. if you put a not so nice or relevent answer i will do the same to you....
Answer:
C.
Step-by-step explanation:
4000x3.2% =128
128÷12=10.6666666667
10.6666666667x8 months =85.3333333336 so round to 85.33
85.33+4000= 4085.33
5) Which number is greater than 985,887 0 985,599 O 984,978 986,331 985,770
Answer:
986,331
Step-by-step explanation:
Hello!
Answer:
Your answer sould be 986,331!
Step-by-step explanation:
Hope this helps! Have a good day/night! <3
Hiromi spends 100 minutes on a research project. Al spends 1/2 of the time Hiromi spent on his research project. How many hours did Hiromi and Al spend on their research projects altogether?
(Mixed number and fraction)
Answer:
Step-by-step explanation:
can someone help me on this. i dont understand it at ALL. please du~mb it down beacuase i am not smart at all.
Answer:
So basically you have to create a set of coordinates like (3,2) to create a linear function. Make sure to make a linear equation and represent it through a graph or table. Then take its coordinates.
An example is the table I attached. It is a linear function.
y = 4x is the linear equation.
(2,8) is the coordinate.
Hope I helped in time!
:)
RADICALS
NEED HELP ASAP PLEASE!!!
Answer:
[tex]\sqrt[3]{64} = 4[/tex] [tex]\sqrt{64} = 8[/tex]
Step-by-step explanation:
What is the area of the triangle?
O 216 cm?
O 288 cm2
O 324 cm2
O 576 cm
Base:36
Hight 16
Answer:
288 cm^2
Step-by-step explanation:
Area of Triangle: 1/2bh
1/2(36)(16)
1/2(576)
288
216 is the real answer i took the test.
Snigdha can type 550 words in half an hour how many words would she type in 6 minutes
Answer:
110
Step-by-step explanation:
took the same test 1 week ago
Answer:
110 words
Step-by-step explanation:
What we know:
- Snigdha can type 550 words in 30 minutes
1) Find how many words they can type in 1 minute
To do this, divide 550 words by 30 minutes:
550÷30=18.3333... words
Therefore, Snigdha can type approximately 18 words in one minute.
2) Multiply 18 words by 6 minutes
18.3333...×6=110
Therefore, Snigdha can type 110 words in 6 minutes.
I hope this helps!
The following double line graph represents the enrollment of students at Jefferson Middle School for 2006 through 2009. What was the difference between seventh and eighth grade enrollment in 2008?
Answer:
20
Step-by-step explanation:
Answer:
You answer is 20, Blessings :]
Step-by-step explanation:
Need helppp with this
Answer:
fhted ghtf. hyrdvhurf gjyev vr htrevhuwf ngttgnm
Solve for the unknowns.
a, b , c ,d
Answer:
can u plz make a good picture to solve I can't see good
Step-by-step explanation:
and thanks
RADICLES
Simplify square root 98
NEEDD HELP ASAP PLEASE!!!!
Answer:
your answer is D
Step-by-step explanation:
i know an isosceles triangle has 2 congruent (equal) sides but does it have any equal angles?
Answer:
Step-by-step explanation:
To have two equal sides there must also be two equal angles.
Solve the problem:
Kiram has 5 ziploc bags. He puts an equal number of marbles (X). Then he realized that he
needed to add 2 more marbles for each bag. If the total number of marbles is 30 how many
marbles in each bag?
Answer:
Step-by-step explanation:
ohfpifpijpijsfpjspijpsijfpsjfpsjfpisjfpijsfpsijf
Liu chose an integer. She added 3. Then, she multiplied the sum by -7. The answer was 84. What integer did Liu choose?
Answer:
-15
Step-by-step explanation:
let the integer be x.
-7(x+3)=84
Step-by-step explanation:
let the integer be x
(x+3) -7 =84
-7x-21=84
-7x=84+21
-7x=105
divide both sides by -7
x= -15
7.RP.1,2 Alissa mows yards to earn spending money. She earns $20 for each yard she mows. Using y, for yards, and m for money, which equation represents the amount of money she will earn after mowing y yards?
A. m = 20y
B. m = 20+ y
C. y = 20m
D. y= 20/m
Answer: a
Step-by-step explanation: I am 97% sure
Answer:20y
Step-by-step explanation: 20y multiplies and shows the amount of money she would make per yard 20 (y) (how many yards) which is y
Find LR, given kite FLRD with diagonals intersecting at A and FA = 4, AR = 12, LA = 5
Answer:
LR = 13
Step-by-step explanation:
LAR is a right triangle and if two sides are known you can you use the pythagorean theorem to find the missing side
LA = 5
AR = 12
5² + 12² = LR²
LR² = 25 + 144
LR² = 169
LR = √169 = 13
please help me 80% of what number is 16
What is the part?
What is the total?
What is the percent?
What is the answer?
Answer:
80 percent of 16 is 12.8 I'm sorry but that's all I know
Enter numbers in figures to complete the passage below.
Give all values in pounds and pence, e.g. £3.50 not £3.5
SALE
Taal buys a jacket in the sale.
It has 15% off and he pays £42.50.
The original price of the jacket was £
He saved £
Answer:
£50 ; £7.50
Step-by-step explanation:
Given that:
Discount on sale, d = 15%
Amount paid = £42.50
Hence the relation to obtain the amount paid goes thus ;
Amount paid = (1 - d) * original amount
Let original amount = x
42.50 = (1 - 0.15)x
42.50 = 0.85x
x = 42.50 / 0.85
x = £50
Amount saved :
£(50 - 42.50) = £7.50
Cassie hit a golf ball. The function f models the height of the ball above the ground (in meters) as a
function of time (in seconds) after Cassie hit it.
MARK BRAINLIEST
Answer:
your answer will be (0,25)
Step-by-step explanation:
have a nice day and good luck with your test ^_^
The point that corresponds to the ball's maximum height on the graph is (4, 80).
How to know if a point lies in the graph of a function?All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
Cassie hit a golf ball.
The function f models the height of the ball above the ground (in meters) as a function of time (in seconds) after Cassie hit it.
We can see from the graph that the highest point the ball could reach is 80 units.
Therefore, The point that corresponds to the ball's maximum height is (4, 80).
Learn more about points lying on the graph of a function here:
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What is the solution to the system of equations?
3x – 9y = -13
x – 3y = -7
(a) Use the substitution method to justify that the given system of equations has no solution.
(b) What do you know about the two lines in this system of equations?
PLEASE PLEASE PLEASE HELPPP
Answer:
a. it has no solution
b. you can only substitute by making either the 'x' or 'y' the subject of either of the two equations.
Step-by-step explanation:
3x - 9y = -13.............. eqn 1
x - 3y = -7................... eqn 2
from eqn 2
x - 3y = -7, substitute by making 'x' the subject
x = -7 + 3y.................. eqn 3
put eqn 3 into eqn 1
3x - 9y = -13
3( -7 + 3y) - 9y = -13
-21 + 9y - 9y = -13
9y - 9y = -13 + 21
0 = 8, which is not possible.
NEED ASAP!! ILL GIVE YOU 30 points!!
Hopt decided to sell some mimstoons (x) and kents (y). Altogether,
she planned to sell at least 8 items.
Write an inequality showing the above constraint.
Answer:
X+Y is greater then or equal to 8
Step-by-step explanation:
In total she wants to sell at least 8 items which implies shes willing to sell more (so greater or equal to) then it's adding X+Y bc those are the items that she is selling