Special Right Triangles
Guided Practice
Find the values of x and y.
A. x=30, y=10V3
B. x= 10, y=30V3
C. x= 30 V3, y=10
D. x=10V3, y=30
y
30°
2013
Need help ASAP
Answers
Answer:
A.
x = 30
y = 10√3
Step-by-step explanation:
Reference angle = 30°
Opposite = y
Adjacent = x
Hypotenuse = 20√3
✔️To find x, apply CAH:
Cos 30 = Adj/Hyp
Cos 30 = x/20√3
20√3 × Cos 30 = x
20√3 × √3/2 = x (cos 30 = √3/2)
(20√3 × √3)/2 = x
(20 × 3)/2 = x
60/2 = x
30 = x
x = 30
✔️To find y, apply SOH:
Sin 30 = Opp/Hyp
Sin 30 = y/20√3
20√3 × Sin 30 = y
20√3 × ½ = y (sin 30 = ½)
(20√3 × 1)/2 = y
(20√3)/2 = y
10√3 = y
y = 10√3
Related Questions
It takes Max 9 minutes to read 10 pages of his book. Which equation represents the
relationship between the number of pages, p, that Max can read and the number of
minutes, m?
Answers
Answer:
y represents the pages, while x represents the minutes. for every y, there is 9/10 x, therefore the equation is y=9/10x
Mr Zuro finds the mean height of all 13 students in his statistics class to be 68.0inches. Danielle walks in late. Danielle is 72.2 inches tall. What is the mean height of the 14 students in the class
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Answer:
l don't no the answer
sorry
Select the value(s) that represent
Answers
Answer:
±3/5
Step-by-step explanation:
±sqrt(9/25)
We can separate this into
± sqrt(9) / sqrt(25)
Since these are perfect squares
±3/5
Question 8 (1 point) A man launches a toy rocket from the roof of a building 72 feet off the ground. The rocket has an initial velocity of 88 feet per second. The height of the ball t seconds after it was thrown into the air can be modeled by the function. h(t) = -16ť +88t + 72 Find the maximum height that the ball reaches during its flight.
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Answer:
thanks for the points and sorry i dont under stand
Step-by-step explanation:
Who ever answers will be marked BRAINLYEST!!!!
Answers
Answer:
A. 1.5 Mil B. 0.67 Mil
Answer:
a) 1.5 milliliters, b) 0.67 milliliters
Step-by-step explanation:
100 ml vinegar mixes with 150 ml soy sauce
So, 1 ml vinegar mixes with (150/100) = 1.5 ml soy sauce.
Again,
150 ml soy sauce mixes with 100 ml vinegar
So, 1 ml soy sauce mixes with (100/150) = 0.67 ml vinegar.
Hope, this will help and if so, then please mark me as brainliest.
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
A) (x, y) → (x + 5, y – 3)
B) (x, y) → (x + 5, y + 3)
C) (x, y) → (x – 3, y + 5)
D) (x, y) → (x + 3, y + 5)
Answers
Answer:
C
Step-by-step explanation:
Any time you move up or down, it affects the "y" coordinate, and going up is positive so 5 units up is [tex]y + 5[/tex].
Moving left or right affects the "x" coordinate and moving left is negative so
[tex]x - 3[/tex]
[tex](x - 3, y + 5)[/tex]
Hence, C is the correct answer
are 5x and x+5 equivalent expressions?
Answers
5x means 5 is being multiplied by a number (x)
x+5 means that’s a number (x) is being added to 5
Hope this helps ;)
Answer:
No.
Step-by-step explanation:
5x represents the product of 5 and an unknown number (x).
5x can also be written as 5 * x.
x + 5 represents the sum of 5 and an unknown number (x).
Hope this helps.
Write five and twenty-two thousandths as a decimal
Answers
The sentence 'five and twenty-two thousandths' are written in a decimal form as 5.022.
What is a decimal number?The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.
The given information is five and twenty-two thousandths can be written as in the decimal.
[tex]5 + \dfrac{22}{1000}\\\\\\\dfrac{5000 + 22 }{1000}\\\\\\\dfrac{5022}{1000}\\\\\\5.022[/tex]
The sentence 'five and twenty-two thousandths' are written in a decimal form as 5.022.
More about the decimal number link is given below.
https://brainly.com/question/4708407
k+1/2 =4 solve for the variable
Answers
Answer:
k+1/2 =4
subtract 1/2 from both sides
= k = 3.5 or 3 1/2
Answer:3.5
Step-by-step explanation:
help may oplpkpk.........
Answers
PERR AMD A PEERN2 SJE
Answers
Answer:
3 peers
Step-by-step explanation:
Answer:
Three? Is it three?
Step-by-step explanation:
Sylvia is twice as old as her brother. Find their ages now if in seven years her brother will be what her age was last year.
Answers
Answer:
sylvia is 14 and brother is 7
Step-by-step explanation:
theres a seven year difference, and sylvia is twice as old as him, so that means that sylvia is 14 and her brother is 7
the total mass of 6 rugby players is 540kg and the mean mass of 14 ballet dancers is 40kg. Find the mean mass of the group of 20 rugby players and ballet dancers
Answers
Answer:
Mean mass of 20 rugby player = 55
Step-by-step explanation:
Given:
Mass of 6 rugby players = 540 kg
Mean mass of 14 ballet dancer = 40 kg
Find:
Mean mass of 20 rugby player
Computation:
Total mass of ballet dancer = 14 x 40
Total mass of ballet dancer = 560 kg
Total mean mass of 20 rugby player = [540 + 560] / [6 + 14]
Mean mass of 20 rugby player = 1100 / 20
Mean mass of 20 rugby player = 55
Gary went to dinner with his friends. The total bill comes to $135.00 before tax. He wants to leave a 15% tip before tax. He also must pay an 8% tax on the bill. How much does Gary spend in total?
No links or I will report!
Answers
Answer:
Gary spends a total of $166.05
Step-by-step explanation:
15% tip: would be 15% of 135, so 0.15 times 135, which would be $20.25 for the tip before tax
8% tax: would be 8% of 135, so 0.08 times 135, which would be $10.8
Then we add $20.25+$10.8+$135= $166.05
Hope I helped, please correct me anywhere you think I may have messed up if I did make mistakes.
Function A and Function B are linear functions. Function A Function B v = 1x - 2 X -7. -19 2 Which statement is true? The slope of Function A is greater than the slope of Function B. The slope of Function A is less than the slope of Function B.
Answers
Answer:
Slope of function A is less than slope of function B
Step-by-step explanation:
Given :
Function A:
1/2x - 2
Function B:
Fitting the data using technology, the linear model obtained is :
1.424x - 7.373
The general form of a linear model is :
y = bx + c
Where, b = slope
The slope of each function is :
Function A ; slope = 1/2 = 0.5
Function B ; 1.4
Slope A < Slope B
j-27.5=3.9 solve for the variable
Answers
Answer:
31.4
Step-by-step explanation
I think
Complete the table.
Answers
9514 1404 393
Answer:
1/5 = 20% = 0.201/4 = 25% = 0.251/2 = 50% = 0.52/3 = 66.6...% = 0.6...Step-by-step explanation:
The symbol % is interchangeable with /100. That is 25% = 25/100. One percent is one hundredth, so the decimal equivalent can be found by writing the percentage number in the hundredths place of a decimal number.
25% = 25/100 = 0.25 = 25 hundredths
The fractions can be converted to percentages by any of ...
multiply by 100%: 1/5 × 100% = (100/5)% = 20%
multiply by a value that makes the denominator 100: 1/5 × 20/20 = 20/100
divide the numerator by the denominator to get the decimal, then convert
1/5 = 0.20 = 20%
__
Additional comment
You will notice that multiplying by 100% is the same as moving the decimal point right 2 places and adding a % symbol. Similarly, dividing by 100% will convert a percentage back to a decimal. It has the effect of removing the % symbol and shifting the decimal point left 2 places.
(C+8)^2=16
(12,4)
(-4,-12)
(24,-8)
(8,-24)
Answers
How should I answer?
Evaluate Using the Given Value
Simplify the Matrix
Solve the Function Operation
Evaluate the Function
Graph
Find the Derivative - d/dc
Solve Using the Square Root Property
Find the Equation Using Point-Slope Formula
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will edit and give answer just don't know what you are asking comment down below what you need help on. Happy to help :)
Answer:
The possible solutions are -4 and -12
Step-by-step explanation:
(C+8)^2=16
Take the square root of each side
sqrt((C+8)^2)=sqrt(16)
C+8 = ±4
C+8 = 4 C+8 = -4
Subtract 8 from each side
C+8-8 = 4-8 C+8-8 = -4-8
C = -4 C = -12
The possible solutions are -4 and -12
Use a linear approximation (or differentials) to estimate the given number. (Round your answer to two decimal places.) (32.03)4/5
Answers
Answer:
16.024
Explanation:
Using linear approximation:
We breakdown the numbers in order to solve thus:
[32(1 + 0.1875)]^0.8
= (32^0.8)*(1 + 0.001875)^0.8
= 16* (1 + 0.8*0.001875)
= 16*(1.0015)
= 16.024
The estimated value of the given number is 16.02
What is linear approximation?A linear approximation is an approximation of a general function using a linear function. They are widely used in the method of finite differences to produce first order methods for solving or approximating solutions to equations.
[tex]f(x) = x^{4/5}[/tex] at [tex]x_o = 32\\[/tex] [tex]\Delta\ x = 0.05[/tex]
[tex]f(x) = 32^{4/5} = 16[/tex]
[tex]f'(x) = (4/5)x^{-1/5}\\\\f'(32) = (4/5)32^{-1/5}\\\\= 0.4[/tex]
[tex]L(x) = 0.4(x-32)+16 = x^{4/5}\\\\L(32.05) = 0.4(32.05-32)+16\\\\= 16.02 \\\\= (32.05)^{4/5}[/tex]
Hence, the estimated value of the given number is 16.02
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Seven values on the number line above are marked with letters. Match the opposites
Answers
Answer:
OMGGGG I NEED THIS ONEE TOOOO WANNANA WORKKKK ON OT
Write the quadratic function f(x) = (x + 5)2 - 8 in standard form.
O A) Ax) = x2 + 10x + 17
OB) Ax) = x2 + 5x + 17
OC)
f(x) = = x2 + 25x - 8
OD) Ax) = x2 + 10x - 8
Answers
Answer:
A
Step-by-step explanation:
I have provided you with the steps I took to come up with this answer.
Answer:
f(x)=x2+10x+17
Step-by-step explanation:
Use the calculator to evaluate each expression. Round your answers to the nearest hundredth. (GIVING POINTS AND BRAINLEST TO BEST ANSWER)
Answers
Answer:
Ah YES DEGREES
A. Cos 85 = 0.09
B. Sin 7 = 0.12
C. Tan 35 = 0.70
D. Cos 65 = 0.42
E. Tan 23 = 0.42
Step-by-step explanation:
Find the value of x. Round to the nearest.
Answers
Answer:
Solution given:
perpendicular [P]=x
base[B]=9
hypotenuse [H]=41
Now.
By using Pythagoras law
H²=P²+B²
41²=x²+9²
x²=41²-9²
x=[tex]\sqrt{1600}=40[/tex]
x=40 is a required answer.
Solve for 2. Round to the nearest tenth, if necessary,
С
2.5
41
Answers
Answer:
3.8
Step-by-step explanation:
We can use sohcahtoa to solve this. First, we know that this triangle is a right triangle, as well as one angle and the opposite side to that angle. We are trying to find the hypotenuse.
Therefore, as sin takes opposite and hypotenuse into account, we can use that to get that sin(41°) = 2.5/x . Multiply both sides by x and divide both sides by sin(41°) to get x = 2.5/sin(41°) =3.8
HELP ASAP!! WILL GIVE BRAINLIEST!!!! FULL ANSWERS ONLY!!!!!!
Write an equation for a line perpendicular to y = − 5 x − 4 and passing through the point ( − 15 , − 1 ) . Express your answer in slope-intercept form.
Answers
Step-by-step explanation:
my answer is in the image above
What is the product? (-1 2 4) x (3 6 1 2 4 0 0 6 2)
Answers
Answer:
-44793767688
Step-by-step explanation:
(-124)×(361240062)=-44793767688
Answer:
[1 26 7] is the answer
Step-by-step explanation:
HELP PLZZZ !!
3. Solve the equation by factoring.
C^2 - 4c = 0
Answers
Answer:
0,4
Step-by-step explanation:
See image below:)
Which expression gives the distance between the points (5, 1) and (9,-6)?
O A. (5-9)2 + (1+6)2
B. 16-9)2 + (1 - 6)?
C. (6-9)2 + (1 - 6)?
D. V65-9)2 + (1+6)
Answers
Answer:
The answer is C
The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 36 liters, and standard deviation of 7 liters.
A) What is the probability that daily production is less than 23.4 liters? Use technology (not tables) to get your probability.
Answer=
(Round your answer to 4 decimal places.)
B) What is the probability that daily production is more than 45.7 liters? Use technology (not tables) to get your probability.
Answer=
(Round your answer to 4 decimal places.)
Answers
Answer:
A) 0.0359
B) 0.0829
Step-by-step explanation:
A) Using normalcdf on your calculator, or using something online, you can plug (-1000, 23.4, 36, 7) to represent the lower bound, upper bound, mean, and standard deviation respectively. The probability that daily production is less than 23.4 liters is 0.0359
B) Similarly, we can plug (45.7, 1000, 36, 7) in as the upper bound is infinity, and the lower bound if 45.7. Our answer is then 0.0829
5. Sara thinks the following expressions are equivalent:
2x + 3 = x/2 + 3/4
Is she right? If so, prove that these two expressions are equivalent. If not, what error(s) did she make?
Answers
[tex]\sf\purple{No, \:Sara\: is \:wrong.}[/tex]
[tex]2x + 3≠ \frac{x}{2} + \frac{3}{4} [/tex]
[tex]\sf\red{Here's\:why:}[/tex]
[tex]L. H. S. = 2x + 3[/tex]
[tex]R. H. S = \frac{x}{2} + \frac{3}{4} \\ = \frac{x \times 2}{2 \times 2} + \frac{ 3}{4} \\ = \frac{2x + 3}{4} [/tex]
Clearly,
[tex]2x + 3≠ \frac{2x + 3}{4} \\✒ \: L.H.S.\:≠\:R. H. S. [/tex]
[tex]\boxed{Therefore,\:the\:two\:expressions \:are\:not\:equivalent.}[/tex]
To make them equivalent, Sara can simply divide L. H. S. by 4.
By doing so, she'll have
[tex] \frac{2x + 3}{4} = \frac{2x + 3}{4} \\ ๛L.H.S.=R. H. S[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]