The length of the longer leg of a 30-60-90 triangle is 18. What is the length of the short leg? What is the length of the
hypotenuse?
Answers
The length of the short leg will be 10.4. And the length of the hypotenuse will be 20.8.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The length of the longer leg of a 30-60-90 triangle is 18.
Then the length of the short leg will be
tan 30° = x / 18
x = 10.4
Then the length of the hypotenuse will be
sin 30° = 10.4 / h
h = 20.8
More about the right-angle triangle link is given below.
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Related Questions
Math PLEASE HELP IM SO CONFUSED IM ATTACHING THE SLIDES!!!!
Answers
Answer:
x = 19, TS = 22Step-by-step explanation:
Use ratios to solve for x. Corresponding sides have same ratio.Q1
(x + 5)/30 = (36 - 20)/20(x + 5)/30 = 16/20 = 4/55(x + 5) = 4(30)5x + 25 = 1205x = 95x = 19Q2
(5x - 2)/(3x + 1) = 39/26(5x - 2)/(3x + 1) = 3/22(5x - 2) = 3(3x + 1)10x - 4 = 9x + 310x - 9x = 3 + 4x = 7TS = 3x + 1 = 3(7) + 1 = 22
Which is the equation of the line that passes through the points (-4, 8) and (1, 3)?
Answers
Answer:
Step-by-step explanation:
(3 - 8)/(1 + 4)= -5/5= -1
y - 8 = -(x + 4)
y - 8 = -x - 4
y = -x + 4
I don't understand please help
Answers
Answer:
Step-by-step explanation:
the average rate of change is the same as
the slope of a line m = (y2-y1)/(x2-x1)
to find if is positive of negative look at the line between the years given (for example between 1930 and 1940)
if from left to right the line goes downward the rate of change is negative
if from left to right the line goes upward the rate of change is positive
Convert these mixed numbers into improper fraction
1 1/3
Answers
=1x3 =3
Then 3+1 = 4
Answer = 4/3
Evaluate the expression x−2×8, if x = 27.8
Answers
Answer:
11.8
Step-by-step explanation:
the answer is above hope it helps. mark me as brainlist plz
What transformation is happening?
Answers
Answer:
Reflection and Dilation
Step-by-step explanation:
These two make the most sense for this.
Hope it helps and is correct!
Lorenzo made a table and a graph for the equation y = 4x.
x
у
12
11
10
9
8
7
6
1
4
2.
8
3
12
3
2
1
1 2 3 4 5 6 7 8 9 10 11 12
Did Lorenzo make these items correctly? Select the true statement,
A. The graph is correct, but the table is not
B. Both are correct
C. Both are incorrect
D. The table is correct, but the graph is not
Answers
I’m not sure can someone please answer this
Answer:
Step-by-step explanation:
C:Both are correct
Find the measure of each unknown angle.
Answers
Answer:
= 56°
= 34°
Step-by-step explanation:
3x + 5 + 2x = 90°
3x + 2x + 5 = 90°
5x + 5 = 90°
5x = 90 - 5
5x = 85
x = 85/5
x = 17
3x + 5
= 3(17) + 5
= 51 + 5
= 56°
2x
= 2(17)
= 34°
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
Answers
fred has 20 dollars to spend on 3 gifts. He spent 9 1/4 dollars on gift A and 4 4/5 dollars on gift B. How much money did he have left for gift C?
Answers
Answer:
Step-by-step explanation:
Your answer
Money left for gift c is = 5 19/20
Mark it as Brainlist answer. Follow me.
y−34=414 what is the answer
Answers
Answer: y = 448
Step-by-step explanation: I’m just good
The cost of 5 kg of potatoes is £3.20
The cost of 0.5kg of carrots is 29p
Work out the total cost of 12 kg of potatoes and 1.5 kg of carrots.
Answers
Answer:
12kg=7.68
1.5=87
Step-by-step explanation:
I found the cost per kg
If you have 9/10 of a pound of granola, how many 1/5 pound bags can you fill?
Answers
you can fill 4 1/2 bags
but why u got so much granola lol
Answer:
4 full bags and 1/2 a bag
Step-by-step explanation:
The school band is having its end-of-year dinner at a local restaurant. The director wants to give the server a 20% gratuity, and the sales tax is 8.25%. He
will use the amount of the bill to find each additional amount.
Part A
Which components would the director use to write an equation to determine the total cost of the meal, given the amount of the bill, <?
Select all the components of the equation.
X+0.20
0.825x
0.20x
x+0.825
0.0825x
x
Answers
Answer:
Step-by-step explanation:
x is the amount of the bill
tax = 8.25% of x = 0.0825x
tip = 20% of x = 0.20x
total payment = x + 0.0825x + 0.20x = 1.2825x
The total cost of the meal is given by the equation A = x + 0.2x + 0.0825x and A = 1.2825x , where x is the initial cost of the meal
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let total cost of the meal be represented as A
Now , the equation will be
Let the cost of the meal be x
Let the tip percentage be = 20 %
Now , the sales tax percentage of the meal = 8.25 %
So , the total cost of the meal A = cost of the meal + ( tip percentage x cost of the meal ) + ( sales tax percentage of the meal x cost of the meal )
Substituting the values in the equation , we get
The total cost of the meal A = x + ( 20/100 )x + ( 8.25/100 )x
On simplifying the equation , we get
The total cost of the meal A = x + 0.2x + 0.0825x
The total cost of the meal A = 1.2825x
Hence , the equation is A = 1.2825x
To learn more about equations click :
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Which fraction is represented by point A on the number line?
20 points please help me! If your just gunna say points then nobody even bother actually answering my question.
Answers
Answer:
It would be 1
Step-by-step explanation:
because after the number 0 would restart to back to 1
What’s the answer to the equation “x^-4 • 2x^-3 y^-3” ??
Answers
Answer:
Get the app Photo Math
Step-by-step explanation:
Gives you the answer and if they ask to show work they also show a step on step on how they did the work
John needs to figure out the heat change, in watts, of circuit with 20 ohms of resistance and thats carrying a current of 5 amps. What is his result?
A) 250
B) 125
C) 500
D) 100
Answers
The point P (5, -1) is rotated 270° counterclockwise around the origin.
What are the coordinates of the resulting point P prime?
Answers
Answer:
(-1,-5) Hopes this helps you :)
Step-by-step explanation:
4. The table below shows how much water is needed compared to flour, in a given recipe. What is
the ratio of flour to water (in simplest form)?
Flour (cups).
6
9
10
12
Water (cups)
2.
3
3 1/3
4
Answers
Answer:
1 to 3
Step-by-step explanation:
because if you were to divide by 2 you would get your base number 1 that is simplest form
(ANSWER ASAP) *Still Unanswered* Lines a & b represent a system of linear equations. Line a passes through the points (1,3) and (3,1). Line b passes through the point (-1,0). Which statement must be true? 1, 2, 3, or 4?
1) If line b passes through the point (-2,1) then there are infinitely many solutions to the system of equations because the slopes of the lines are the same.
2) If line b passes through the point (0,1) then there is more than one solution to the system of equations because the lines are perpendicular.
3) If line b passes through the point (1,3) then there are infinitely many solutions to the system of equations because line a also passes through the point (1,3)
4) If line b passes through the point (1,-2) then there is no solution to the system of equations because the lines are parallel.
Answers
Answer:
D: If line B passes through the point (1,-2), then there is no solution to the system of equations because the lines are parallel.
I think that is right...?
Step-by-step explanation:
Answer:
D: If line B passes through the point (1,-2), then there is no solution to the system of equations because the lines are parallel.
Step-by-step explanation:
The seventh-grade students at Alaniz Middle School went on a field trip. At lunch
17 students drank lemonade. This represented 20% of the students on the field
trip. How many Students were on the field trip?
Answers
Answer:
85 students
Step-by-step explanation:
If 17 = 20%
It means is the fifth part of 100%
Because 20% * 5 = 100%
With that logic if we multiply the amount of students by 5 we will get the total of students.
17*5= 85
Hope it was helpful ;)
Ammeters produced by a manufacturer are marketed under the specification that the standard deviation of gauge readings is no larger than 0.2 amp. One of these ammeters was used to make ten independent readings on a test circuit with constant current. The sample variance S 2 of these ten measurements is 0.0653 and it is reasonable to assume that the readings are normally distributed. Find the approximate probability that the sample variance will exceed 0.0653 if the true population variance is 0.04
Answers
Answer:
0.101
Step-by-step explanation:
Given that :
Standard deviation, s = 0.2
Sample variance, s² = 0.0653
Sample size, n = 10
Population variance = σ² = 0.04
We use the Chi square distribution :
(n - 1)s² / σ²
For P(s² ≥ 0.065)
(n - 1)s² / σ² = (10 - 1)*0.0653 / 0.04
(n - 1)s² / σ² = 0.585 / 0.04 = 14.625
P(s² ≥ 14.625) = 0.101 ( chi squee calculator).
Solve for v. 9 2 V-2 > 6
Answers
Answer:
V>[tex]\frac{2}{23}[/tex]Step-by-step explanation:
!!HELPPP ME AND MY FRIENDD!!
Answers
Answer:
1 and 3
Step-by-step explanation:
Answer:
B . <3 <7
I had the sam test and got a 100
please mark brainliest
Step-by-step explanation:
B. 9.526 to the nearest tenth
C. 19.826 to the nearest whole number
Answers
C 20 to the nearest whole number
Stuck on this one question qwq
*12 points*
Answers
I'm 99% sure your answer is B!
I hope this answer helped! please mark brainliest and vote 5 stars >:)
If the radius of a clock face is 4.5 inches, what is the diameter? *
Answers
Answer:
9
Step-by-step explanation:
Carlos spends 17 hour in a two-week period practicing the piano how many hours does he practice in 5 weeks
Answers
Answer:
51
Step-by-step explanation:
Answer:
42.5 hours
Step-by-step explanation:
17 hours/2 weeks
x hours/5 weeks
17*5=2x
42.5=x
(3,19), (-1,-13) I need help with this answer
Answers
Answer:
Step-by-step explanation:
I need more information
The consecutive monthly flows into and out a reservoir in a given year are the following, in relative units: Month J F M A M J J A S O N D Inflow 3 4 5 3 4 10 28 17 7 6 3 2 Outflow 7 8 7 11 6 8 21 12 5 4 5 9 The reservoir contains 50 units at the beginning of the year. How many units of water are in the reservoir at the middle of August
Answers
Answer:
41.5 units
Step-by-step explanation:
Given the data :
Month : J F M A M J J A S O N D
Inflow : 3 4 5 3 4 10 28 17 7 6 3 2
Outflow : 7 8 7 11 6 8 21 12 5 4 5 9
The unit of water in reservoir at the middle of August :
Initial unit = Unit of water at the start of the year = 50
Middle of August :
Inflow = 17 /2 = 8.5
Outflow = 12 /2 = 6
Unit of water at the middle of August :
Initial unit + Inflow - Outflow
Inflow till mid-August = (3+4+5+3+4+10+28+8.5) = 65.5
Outflow till mid-August = (7+8+7+11+6+8+21+6) = 74
50 + 65.5 - 74 = 41.5
