Answer:
The answer is 11.8
Step-by-step explanation:
The value of x and y is 12.2 and 11.8 respectively.
What is tangent of an angle?The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
What is sine of an angle?The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.
According to the given question.
We have a right angled triangle.
In which one angle is 44 degrees and hypotenuse is 17 units.
Here,
With respect to angle 44 degrees the adjacent side is x and the opposite side is y.
Therefore,
Sine of 44 degrees is given by
[tex]sin44^{o} = \frac{opposite\ side }{Hypotenuse}[/tex]
[tex]\implies sin44^{o} = \frac{y }{17}[/tex]
[tex]\implies 0.6946 = \frac{y}{17}[/tex]
[tex]\implies 0.6946 \times 17 = y[/tex]
[tex]\implies y = 11.80[/tex]
[tex]\implies y = 11.8[/tex]
And, tangent of 44 degrees is give by
[tex]tan 44^{o} = \frac{opposite \ side }{adjacent \ side }[/tex]
[tex]\implies tan44^{o} = \frac{y}{x}[/tex]
[tex]\implies tan44^{o} = \frac{11.8}{x}[/tex]
[tex]\implies 0.9657 = \frac{11.8}{x}[/tex]
[tex]\implies x = \frac{11.8}{0.9657}[/tex]
[tex]\implies x = 12.22[/tex]
[tex]\implies x = 12.2[/tex]
Therefore, the value of x and y is 12.2 and 11.8 respectively.
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how do you find the percent of discount if the original price is $578 and the sale price is $78.76
Answer: 86%discount approx
Step-by-step explanation:
You need to think about how the original price (578) is 100% of the price and that the sale price (78) is just a percentage of that. To discover how much of that 100% the price 78 is, you can write the formula:
578:100=78:x
X=(78*100)/578
X=14 %
Once you know that 78 represents the 14% of the whole price (100%-578) you just have to subtract that amount from the whole to understand which percent of discount has been applied: 100-14 = 86%
Use the inequalities to answer the following question
Inequality 1: 2x + 7 < -3
Inequality 2: x – 8 + 3x < -4
Which of the following values make both inequalities TRUE? Select all that apply.
A.) 12
B.) 325
C.) –10
D.) 2/3
E.) –8.25
F.) -15/2
G.)–5
Answer:
C, E, and F
Explanation:
There are two ways to answer this question. First, you could simply input each answer into both equations to see which one works but that would take quite a long time.
A better way is to simply solve each equation for x.
You could rewrite
2x + 7 < -3
as
2x + 7 = -3
and solve:
Subtract 7 from both sides
[tex](2x + 7) -7 = (-3) - 7\\2x = -10[/tex]
Now divide both sides by 2
[tex]\frac{2x}{2} = \frac{-10}{2}\\x = -5[/tex]
Now we can simply replace the equals sign with the inequality
x < -5
Where you can run into trouble is if you have to multiply or divide by a negative number across the equation, you must flip the inequality sign. It's best to leave it there to remind you, but I switched it out just to show that it's no different than a typical algebraic equation.
Now, we know that x can be any value less than -5. Let's find out the same thing for the second equation:
[tex]x - 8 + 3x < -4\\(x + 3x) -8 < -4\\4x - 8 < -4\\(4x - 8) + 8 < (-4) + 8\\4x < 4\\\frac{4x}{4} < \frac{4}{4}\\x < 1[/tex]
Now we know that x must be less than 1 for the second equation. So, now we can choose the answers that are both less than -5 and less than 1.
These answers are:
C. -10
E. -8.24
and
F. -15/2 which is -7.5
NOTE: -5 is equal to but not less than -5 so G is not included.
write the following comparison as a ratio reduced to lowest terms.
128 hours to 6 days
Answer:
21.3:1
Step-by-step explanation:
So we have to find the unit rate, and we do that by getting that 6 down to a 1, and we do that by dividing 6 by 6 and then we gotta do that on the other side too:
6 ÷ 6 = 1
128 ÷ 6 = 21.3 (simplified)
So 128 to 6 days in simplest terms is 21.3 hours to 1 day
hope this helps:)
A loan of $16,840 is borrowed at 9% simple interest and is repaid with $4,167.90 interest. What is the duration of the loan?
9514 1404 393
Answer:
2 3/4 years
Step-by-step explanation:
The interest is given by the formula ...
I = Prt . . . . . . principal P at annual rate r for t years
Solving for t gives ...
t = I/(Pr)
t = 4167.90/(16840×0.09) = 2.75
The duration of the loan is 2 3/4 years.
Marina will attend choir practice for 2-
hours on Saturday, 24 hours on Sunday,
and 3 hours on Monday. Next week,
Marina will attend choir practice for the
same number of hours on Saturday,
Sunday, and Monday.
What is the total number of hours
Marina will have choir practice over
these 6 days?
Answer:
58
Step-by-step explanation:
1).2+24+3 = 29
2) 29 x 2 = 58
2 friends equally share 5 cookies. How many cookies
does each friend get?
They both get 2 and 1/2 of a cookie!
Answer:
2 1/2
Step-by-step explanation:
The only way for the friends to get an equal amount is to split one of the cookies in half. or 5 divided by 2= 2 1/2
Please help me, i'm stuck on this one. thank you thank you!
A long year-end status report for work is 134 pages long. You need to print 16 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.53 each. Give your answer to the nearest cent, only for the paper you use (partial reams are OK)
Answer:
The total cost of the copies will be $ 15.14.
Step-by-step explanation:
Given that a long year-end status report for work is 134 pages long, and I need to print 16 copies for a meeting next week, to determine how much is the paper going to cost for those reports if paper is sold in reams (500 pages) for $ 3.53 each the following calculation must be performed:
(134 x 16) / 500 = X
2,144 / 500 = X
4.288 = X
500 = 100
144 = X
144 x 100/500 = X
14,400 / 500 = X
28.8 = X
100 = 3.53
28.8 = X
28.8 x 3.53 / 100 = X
101.664 / 100 = X
1.016 = X
1.016 + (3.53 x 4) = X
1.016 + 14.12 = X
15,136 = X
Therefore, the total cost of the copies will be $ 15.14.
Which expression has the least value when x = 100?
A.
1
x
B.
10
x
C.
1
−
x
D.
10
−
x
Answer:
Hi! The answer to your question is B. [tex]10x[/tex]
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
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PLS ANSWER THIS QUESTION PLEASE
Answer:
[tex]\frac{3}{2}y - 3 + \frac{5}{3}z =11[/tex]
Step-by-step explanation:
Given
[tex]y=6; z=3[/tex]
Evaluate
[tex]\frac{3}{2}y - 3 + \frac{5}{3}z[/tex]
Substitute [tex]y=6; z=3[/tex] in the expression.
So, we have:
[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = \frac{3}{2}*6 - 3 + \frac{5}{3} * 3[/tex]
[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = \frac{3*6}{2} - 3 + \frac{5* 3}{3}[/tex]
Evaluate the fractions
[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = 3*3 - 3 + 5[/tex]
[tex]\frac{3}{2}y - 3 + \frac{5}{3}z =11[/tex]
Which step in the proof has a flow?
1.Statement 2
2.Reason 3
3.statement 3
4.Reason 2
Answer:
Reason 2
Step-by-step explanation:
The reason should be transitive property( if a=b and b=c then a=c) not reflective property.
Find the slope of the line represented
by the data below.
Answer:
slope = 3/4
Step-by-step explanation:
(=^w^=)
can do 7-4/-5--9
3/4 woof
The slope of the line represented by the given data points is 3/4.
To find the slope of the line represented by the given data points, we can use the formula for slope:
slope = (change in y) / (change in x)
Let's calculate the changes in y and x using the given data points:
Change in y:
From y = 4 to y = 16, there is an increase of 16 - 4 = 12.
Change in x:
From x = -9 to x = 7, there is an increase of 7 - (-9) = 16.
Now, we can calculate the slope using the formula:
slope = (change in y) / (change in x)
= 12 / 16
= 3 / 4
Therefore, the slope of the line represented by the given data points is 3/4.
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mobymax help 11 points math
Answer:
10/15 + 3/15 = 13/15
Step-by-step explanation:
Which answer represents 241.324?
A) (2x1000) + (4x100) + (1x10) + (3x1) + (2x1/10) + (4x1/100)
B) (2x100) + (4x10) + (1x1) + (3x1/10) + (2x1/100) + (4x1/1000)
Answer:
B) (2x100) + (4x10) + (1x1) + (3x1/10) + (2x1/100) + (4x1/1000)
If a student answers 42 out of 48
questions correctly on a quiz, what
percentage of questions did she
answer correctly?
Answer:
She answered 87.5% correctly.
Step-by-step explanation:
100÷48=2.083
2.083×42=87.5
The percentage of student answered correctly is 87.5%.
What is percentage?A percentage, a relative value indicating hundredth parts of any quantity.
How to find the prcentage of a number of quantity?The following formula is a common strategy to calculate a percentage:
Determine the total amount of what you want to find a percentage.Divide the number to determine the percentage.Multiply the value by 100.According to the given question.
Total number of questions = 48
Total number of questions which are answered correclty by a student = 42
Therefore, the percentage of question the students answered correctly is given by
[tex]Percentage = \frac{total \ correctly \ answered\ questions}{Toal\ number \ of\ questions\ } \times 100[/tex]
[tex]\implies percentage = \frac{42}{48} \times 100[/tex]
[tex]\implies percentage = 0.875\times 100[/tex]
[tex]\implies percentage = 87.5\%[/tex]
Hence, the percentage of student answered correctly is 87.5%.
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someone actually help me please :/ I REALLY NEED HELP AND NO ONES HELPING
Answer:
a) 8 m
Step-by-step explanation:
a) all sides of a square are equal - there's 4 sides.
4x = 32m
x = 32/4
x = 8 m
i like ur toga pfp besty :)
Which expression has a value of 252?
Step-by-step explanation:
6^3+6^2=216+36=252
25^2=625
hope that helps :)
Answer:
6^3 + 6^2
Step-by-step explanation:
6^3+6^2=216+36=252
25^2=625
625≠252
Hope this helps =]
Unit 11 Homework 1: Area of Plane Figures
Answer: 4. 432 cm^2/2 = 216 cm^2
6. 309.76 mm^2
8. pi * 22^2 = 484pi (or, approximately 1,519.76) in^2
484/2 = 242pi or 759.88 in^2.
10. 297.84 in^2/2 = 148.92 in^2
Step-by-step explanation:
To find the area of a triangle, you take the base and multiply by the height, and then divide by 2. Hence giving me the answers I obtained in #4 and #10.
A square is equal on all sides, so you would just square the measurement of the one side.
To find the area of a circle, you would do pi times the radius^2. Since this is a semicircle, you actually should divide the number you got by 2. (Which is why I did so up above).
Answer: There’s nothing
Step-by-step explanation:
2x+5+(6x+1)
Help please.
Answer:
14x
Step-by-step explanation:
The (6x+1) = 7 and the other equation also equals 7 so you add together and just ad the x variable since there is no answer
help fast please i’m bad with math
Answer:
FALSE, TRUE, FALSE, FALSE
Step-by-step explanation:
pi/2>2 - FALSE
3pi>9 - TRUE
2pi-1<5 - FALSE
pi+8<11 - FALSE
PLZ HELP ASAP
Ps I accidently clicked on a choice
Answer:
B or top right answer or second answer is correct.
The hypotenuse in this 45-45-90 triangle is given. How would you find the length of a leg
of the triangle?
8 V2
45degrees
Answer:
The length of the legs of the triangle is 8 units.
Step-by-step explanation:
45-45-90 triangle
A 45-45-90 triangle is a special case of a right triangle in which both legs l have the same value and the hypothenuse is h. By the Pythagorean Theorem:
[tex]2l^2 = h^2[/tex]
Hypothenuse of 8 V2
This means that [tex]h = 8\sqrt{2}[/tex]
So
[tex]2l^2 = h^2[/tex]
[tex]2l^2 = (8\sqrt{2})^2[/tex]
[tex]2l^2 = 64*2[/tex]
[tex]l^2 = 64[/tex]
[tex]l = \sqrt{64}[/tex]
[tex]l = 8[/tex]
The length of the legs of the triangle is 8 units.
Solve for u.
127-u = 258
24 =
What is u?
127 - u = 258
-u = 258 - 127
-u = 131 | : (-1)
u = -131
Answer:
127-u=258
258-127=131
12 = 0.005 X W
Solve the equation
Answer: look at the picture
Step-by-step explanation: Hope this help :D
help please i genuinely cant
Answer:
Part A: 3x + 36 = 180
Part B: x = 48
Step-by-step explanation:
A straight line is equal to 180 degrees. Knowing this, both 3x and 36 should be equal to 180. Write an equation:
3x + 36 = 180
Solve the equation:
3x + 36 = 180
Subtract 36 from both sides
3x = 144
Divide both sides by 3 to isolate the variable
x = 48
Check your work:
3(48) + 36 = 180
144 + 36 = 180
180 = 180
Correct
What is the measure of angle x
What is one way to name the object pictured below?
A Z Y
B. YZ
c. Y Z
D. ZY
You are standing 6 feet away from the stage and your friend is standing 7 feet away from the stage.
Answer:
Step-by-step explanation:
Yo diría que Messi
What time is it in iowa when the sun goes down in new york at 5:20 pm est?
Please help!
Find the surface area of a rectangular solid that is 2m by 340cm by 560cm
(100cm = 1m)
When Ricardo was 9 years old, he was 56 inches tall. By age 12, he had increased his
height by 12%. How tall is he now?
Answer:
He is 62.72 inches tall now
Step-by-step explanation:
the twelve over 100 is the percentage, he increased by 12 percent. and the x over 56 is the new value (x) over the old value. We get 6.72 so we add that to 56 to get 62.72.