Answer:
i.900
j.6
k.8
l.0
Step-by-step explanation:
hope this helps you ;)
Please fast as possible.
2 sin A = √3
=》sin A = √3/2
■ If sin A = √3/2, then A = 60° (trigonometric value)
So,
cot A = cot 60° = 1/√3
1 - cot²A / 2 cot A
= 1 - (1/√3)² / 2*(1/√3)
= 1 - (1/3) / 2/√3
= 2/3 / 2/√3
= 2/3 / 2√3/3
Cancel out the 3 in the denominator.
= 2/2√3
= 1/√3
1 - cot²A / 2 cot A = 1/√3
_____
● See the attachment for the trigonometric values.
Hope it helps ⚜
Answer:
√3/3Step-by-step explanation:
2 sinA = √3 ⇒ sinA = √3/2Rewrite as:
(1 - cot²A)/2cotA = (1 - cos²A/sin²A)/(2cosA/sinA) = sinA[(sin²A - cos²A)/sin²A] / (2cosA) =(2sin²A - 1)/(2sinAcosA) = (2sin²A - 1)/[2sinA√(1 - sin²A)]Substitute the value of sinA:
(2(√3/2)² - 1) / [√3 √{1 - (√3/2)²)] =(3/2 - 1)/[√3√(1/4)] =(1/2) /(√3/2) = 1/√3 = √3/3What is 22% of 60?
A) 1,320
B) 13.2
C) 27.3
D) 38
Answer:
B, 13.2
Step-by-step explanation:
Multiply 60 by 0.22 for your answer and you get 13.2
If the new minimum wage of $8.75 per hour is 102.9412% of the old minimum wage, what was the old minimum wage?
Using proportions, it is found that the old minimum wage was of $8.50.
The new minimum wage is of $8.75 per hour.The old minimum wage was of x.The new minimum wage is 102.9412% of the old minimum wage, hence it can be represented as 1.029412x.The equation for the relationship between these wages is:
[tex]1.029412x = 8.75[/tex]
[tex]x = \frac{8.75}{1.029412}[/tex]
[tex]x = 8.50[/tex]
The old minimum wage was of $8.50.
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
Given z varies jointly as x and y, use the given values to find an equation that relates x, y, and z.
x = 3, y = 8, and z = 54
Answer:
z = 2.25xy
Step-by-step explanation:
Given z varies jointly as x and y then the equation relating them is
z = kxy ← k is the constant of variation
To find k use the condition x = 3, y = 8 and z = 54 , then
54 = k × 3 × 8 = 24k ( divide both sides by 24 )
[tex]\frac{54}{24}[/tex] = k = 2.25
z = 2.25xy ← equation of variation
28-(3x+4)=2(x+6)+x In Distributive property please.
Answer:
X=4
Step-by-step explanation:
28−(3x+4)=2(x+6)+x
28+−1(3x+4)=2(x+6)+x(Distribute the Negative Sign)
28+−1(3x)+(−1)(4)=2(x+6)+x
28+−3x+−4=2(x+6)+x
28+−3x+−4=(2)(x)+(2)(6)+x(Distribute)
28+−3x+−4=2x+12+x
(−3x)+(28+−4)=(2x+x)+(12)(Combine Like Terms)
−3x+24=3x+12
−3x+24=3x+12
Step 2: Subtract 3x from both sides.
−3x+24−3x=3x+12−3x
−6x+24=12
Step 3: Subtract 24 from both sides.
−6x+24−24=12−24
−6x=−12
Step 4: Divide both sides by -6.
−6x
−6
=
−12
−6
x=2
Answer:
x = 2
Step-by-step explanation:
28 - 3x + 4 = 2x + 12 + x
24 - 3x = 3x + 12
+ 3x +3x
24 = 6x + 12
-12 -12
12 = 6x
x = 2
Which is NOT a line of symmetry?
1
2
3
4
5
Answer:
Line 3 is the only one that is not a line of symmetry.
how do you solve 9-3(5-4x)
Answer:
-6+12x
Step-by-step explanation:
9-15+12xmultiply -3(5-4x), calculate the difference
-6+12x
pls help i really need help STOP SENDING ME LINK
Answer:
0
Step-by-step explanation:
because your making it all to the zero power which equals zero
Answer:
0
Step-by-step explanation:
We will use the rule of order of operations
15 + 4 = 19
20 + 5 = 25
19 squared = 361
3 x 361 = 1083
25 squared = 625
625 x 2 = 1250
New equation =
1083 + 1250
=
2333
But you multiply by 0 so it equals 0
If 1/3 is classified as a rational number, does 10/3 fall on the same classification? Why and why not
Answer:
Because it can't be written as a Ratio of two integers
Solving Linear Equations with the Distributive Property
BRAINLIEST IF RIGHT!
Answer:
c = $5.50
Step-by-step explanation:
Since Gage has the exact amount of change, we know the total of all 5 sodas and all 5 cheeseburgers, so we can make an equation where:
c = cost of one cheeseburger
s = cost of one soda
Gage is buying soda and cheeseburgers for himself and 4 friends, so that is 5 of each soda and 5 of each cheeseburger, so we multiply the costs by 5 and set it equal to the total amount of all the food and drinks.
5s + 5c = 33.75
We are given the price of soda, however, so we can insert that number into the equation for s.
5(1.25) + 5c = 33.75
Then we can simplify and solve for c.
6.25 + 5c = 33.75
5c = 27.5
Remember, we're solving for the price of one cheeseburger, so we have to divide this number by 5.
c = 5.50
So one cheeseburger costs $5.50.
Hope this helps.
what is the expressions of ײ-3y when x = -5 and y=(2-)
[tex]\huge \bf༆ Answer ༄[/tex]
Plug the values of x and y in the given expression ~
[tex] \sf {x}^{2} - 3y[/tex][tex] \sf( - 5) {}^{2} - (3 \times 2)[/tex][tex] \sf25 - 6[/tex][tex] \sf19[/tex]The equivalent value is 19
What is the solution set for this inequality?
negative x plus 40 is greater than negative 16,
Answer:
x < 56
Step-by-step explanation:
- x + 40 > -16
-x + 40 - 40 > -16 -40
-x > -56
-x / -1 > -56 / -1
x < 56
In his pocket, Hamid has $2. 95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes and quarters that Hamid has? x y = 16. 0. 10 x 0. 25 y = 2. 95. X y = 16. 0. 05 x 0. 25 y = 2. 95. X y = 2. 95. 0. 10 x 0. 25 y = 16. X y = 16. 0. 01 x 0. 25 y = 2. 95.
There are 7 dimes and 9 quarters in his pocket.
Let the number of dimes be xLet the number of quarters be yIf there are 16coins in total, hence;
x + y = 16 ......................... 1If hamid has $2. 95 in dimes and quarters, this is expressed as:
0.1x + 0.25y = 2.95 ............... 2From equation 1
x = 16 - y ................. 3Substitute equation 3 into 2 to have:
0.1x + 0.25y = 2.95
0.1(16-y) + 0.25y = 2.95
1.6 - 0.1y + 0.25y = 2.95
1.6 + 0.15y = 2.95
0.15y = 1.35
y = 1.35/0.15
y = 9
Since x + y = 16
x = 16 - y
x = 16 - 9
x = 7
Hence there are 7 dimes and 9 quarters in his pocket.
Learn more on simultaneous equations here: https://brainly.com/question/16863577
Calculate the value of (225 ÷ 0.25) – 11.875
Answer:
888.125
Step-by-step explanation:
(225/.25) - 11.875
(Divide 225 by .25)
900 - 11.875
888.125
8. A 20 point test was given to two classes. Each class had results shown in the box plots below. Which of the
two classes has the greater interquartile range?
Solve 2x2 + 20x + 8 = 0 by completing the square.
a. x = –5 + √17, x = –5 √–17
b. x = –5 + √21, x = –5 –√21
c. x = 5 + √21, x = 5 –√21
d. x = 5 + √17, x = 5 –√17
Answer:
Answer B:
Step-by-step explanation:
just took the test)))):
the answer: B
ok done. Thank to me :>
hi guys can y’all help me with this problem? i’m stuck :p
how many solutions does the following system have?
-4x + 5y = 7
4x - 5y = -7
a. one solution
b. no solution
c. infinitely many solutions
Answer:
It has no solution since it is a simultaneously equation. And when you solve to find x and y it gives 0
Stanley needs to purchase a cylindrical silo. He wants the radius to be 6 ft. The silo should hold 1700 cubic feet when full. How many feet tall must the slio be? Use 3.14 for Pi.
Answer:
15.03m
Step-by-step explanation:
h=V/πr2
h=1700/π·62
h≈15.0313
Hope that helps
Ms. Green and Mr. White took their science classes to the museum. Ms. Green spent $262 to
buy 28 student tickets and 4 adult tickets for her class. Mr. White spent $191 for 22 student
tickets and 2 adult tickets for his class.
The price of student's ticket will be $7.5 while on the other hand, the price of adult's ticket will be $13.
Based on the information given, the equations to solve the question will be:
28s + 4a = 262 ....... i
22s + 2a = 191 ....... ii
Multiply equation i by 2
Multiply equation ii by 4
56s + 8a = 524
88s + 8a = 764
Subtract the equations above
32s = 240
s = 240/32 = 7.5
Student's tickets = $7.5
Adult's ticket will be:
22s + 2a = 191 .
22(7.5) + 2a = 191
165 + 2a = 191
2a = 191 - 165
2a = 26
a = 26/2 = 13
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How much is the bill for a person who uses 600kWh in a month?
Answer:
the correct answer is $80
Step-by-step explanation:
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what is the slope of the line on the graph
Answer:
5
Step-by-step explanation:
Find the surface area of the prism.
6.5 ft.
6 ft
8 ft.
5 ft
The surface area is
square feet.
Answer:
the BIG B (big base) is 2(5*6)*½ which is 30.
the bottom is 8*5 which is 40.
the sides are 8*6.5 which is 52 TIMES TWO becuase there is another WHICH IS 104.
30+40+104=174 SQUARE FEET
Solve for x: 4(x-5) 8. = 9y
Answer:
X=18y+5
EXPLANATION
4(X-5)/8 =9Y
(4X-20)/8 =9Y
4X-20=9Y×8
4X=72Y+20
X=(72Y+20)/4
X=18Y+5
1. The original price of the table was $250. Jane bought it on sale for $200.
How much did she save?
What percent of the original price did she save?
She saved 20%.
The price of the table was 250 and she bought it for 200, meaning 1/5 of the original price was marked off. 1/5 = 20% which means it was 20% off the original price.
i don’t know what i’m doing lol
i need help please find the ans
you will get 15 points if you ans this
Answer:
the answer is 5 ^_^
Step-by-step explanation:
hopeee it helpss ^_^
In this task, you will use the linear data from Task 1 to compare the linear functions.
Answer: Part A. Olivia- y=x+4 Camille- idr.k but it increases by 1/2 ever time
Part B. The slope represents the rate of change and the y-intercept indicates the value of y when x is 0.
Part C. Olivia's puppy weighed the most. It weighed 5 pounds.
Part D. Camille's puppy only gained 1/2 a pound each week.
Step-by-step explanation:
Kiran and Mai are going on a long bike ride.
• Kiran can ride 4 miles every 16 minutes.
Mai can ride 4 miles every 12 minutes.
.
How long will it take each rider to reach the end of a 12-mile bike path?
1) It will take Kiran minutes to reach the end of a 12-mile bike path?
2) It will take Mai
minutes to reach the end of a 12-mile bike path?
Blank 1:
Blank 2:
Question 4 (2 points)
Answer:
kiran will take 48 minutes 16 x 3
mai will take 36 minuttes 13 x 3
Step-by-step explanation:
(1) Kiran will take 48 minutes to reach the end of a 12-mile bike path.
(2) Mai will take 36 minutes to reach the end of a 12-mile bike path.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Kiran rides 4 miles every 16 minutes.
Also, Mai rides 4 miles every 12 minutes.
To find the time taken by Kiran and Mai to reach 12 mile bike paths,
Use ratio property,
Time taken by Kiran to ride 4 miles = 16 minutes,
For 1 mile = 4 minutes,
For 12 miles = 12 x 4 = 48 minutes
Time taken by Mai to ride 4 miles = 12 minutes,
For 1 mile = 3 minutes
For 12 miles = 12 x 3 = 36 minutes.
Kiran will take 48 minutes and Mai will take 36 minutes to reach the end of a 12-mile bike bath.
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Rewrite this equation below into standard form
y=−3−7x