Answers
answer : -40/41
steps:
soh cah toa
sin is soh
meaning opposite/hypotenuse
opposite is 9 and
hypotenuse is 41
now you can treat it like a triangle and use the pythagorean theorem
a^2 + 9^2 = 41^2
a^2 + 81 = 1681
a^2 = 1600
a = 40
in soh cah toa
cos is adjacent/hypotenuse so
cos is 40/41
its in quadrant 2 so its negative
-40/41
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Related Questions
Yea solve equation by factoring
7x² - 39x + 17 = -3
Answers
Answer:
x = 4/7, 5
Please mark Brainliest :)
Answer:
x = 4/7 or x = 5
Step-by-step explanation:
Step 1: Add to 3 to both sides
[tex]7x^2-39x+17+3=-3+3[/tex] [tex]7x^2-39x+20=0[/tex]Step 2: Factor by grouping
This equation is in the form ax² + bx + c = 0. Since there are no terms that multiply to 20 and add to -39, we have to find terms that multiply to a (7) * (20) and add to -39.
Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140-35 x -4 = 120, and -35 - 4 = -39. Thus, the two terms are -35 and -4.Now, we split -39x into -35x and -4.
7x^2 - 35x - 4x + 20.(7x² - 35x) + (-4x + 20)Next, we factor each expression in the parentheses. After that, we put the terms outside the parentheses together. Reminder, the terms inside the parentheses should be the same.
[tex]7x(x-5)-4(x-5)[/tex] [tex](7x-4)(x-5) = 0[/tex]Step 3: Solve for x using 7x - 4 = 0 and x - 5 = 0.
[tex]7x-4=0[/tex] [tex]7x-4+4=0+4[/tex] [tex]7x=4[/tex] [tex]7x/7 = 4/7[/tex] [tex]x= 4/7[/tex]or
[tex]x-5=0[/tex] [tex]x-5+5=0+5[/tex] [tex]x=5[/tex]5 Air bags in a car 'explode' at 340 km/h.
a Convert this to metres per second.
b How long would the air bag take to move 10 cm?
Give your answer to the nearest thousandth of a second.
Answers
Answer:
a. 94.444 m/s
b. 0.001 s
Step-by-step explanation:
We know that:1 km = 1000 m & 1 h = 3600s#a
Explosion speed of air bag = 340 km/h-> Explosion speed of air bag [tex]= 340\times \frac{1000\: m}{3600 \:s}[/tex]-> Explosion speed of air bag [tex]= 94.444\: m/s[/tex]#b
Speed = 94.444 m/s = 9444.4 cm/sDistance = 10 cmFormula relating time speed and distance is given as:[tex] Time =\frac{distance}{speed}[/tex][tex]\implies Time =\frac{10}{9444.4}[/tex][tex]\implies Time =0.00105882851 \: s[/tex][tex]\implies Time \approx 0.001\: s[/tex]a) plot the graph of y= 5 and 2x + y = 8
b) wirte down the coordinates of the point where they cross
explain the steps pls?
Answers
The graph is shown below. Then the linear system crosses each other at (1.5, 5).
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The linear equations are given below.
y = 5 ...1
2x + y = 8 ...2
The graph is shown below.
By equations 1 and 2. Then we have
2x + 5 = 8
2x = 3
x = 1.5
Then the lines cross each other at (1.5, 5).
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Solve the equation 3x²− 55 = 92
x = 7 and -7
x = 7
x = 8 and -8
x = 49
Answers
Answer:
the answer is x=7 and -7
Hope this helps!!
Consider the following data set with 20 scores { 23 15 16 15 25 14 14 18 26 23 25 24 14 25 29 15 24 29 21 19}. How many scores are below or equal to the 60th percentile?
Answers
Answer:
60th percentile = 23.5
Step-by-step explanation:
Put numbers in order from lowest to highest:
14, 14, 14, 15, 15, 15, 16, 18, 19, 21, 23, 23, 24, 24, 25, 25, 25, 26, 29, 29
Formula:
60th percentile = 60% x Total number of elements
We have 20 scores,
60th percentile = 60% x 20
= 0.60 x 20
= 12
the 60th percentile is the 12th number on the list
14, 14, 14, 15, 15, 15, 16, 18, 19, 21, 23, 23, 24, 24, 25, 25, 25, 26, 29, 29
The 60th percentile is between 23 and 24
23 + 24 / 2 = 23.5
The function h(t) = -4t^2 + 20t represents the height (in feet) of an athlete t seconds after pole vaulting. after how many seconds does the athlete reach his or her maximum height?
Answers
Answer:
2.5 seconds.
Step-by-step explanation:
h(t) = -4t^2 + 20t
= -4(t^2 - 5t)
Convert to vertex form by completing the square:
h(t) = -4[(t - 2.5t)^2 - 6.25]
= -4(t - 2.5)^2 + 25 <--------- vertex form
So the vertex is at the point (2.5, 25).
So the athlete reaches the maximum height ( of 25 feet), after 2.5 seconds.
PLEASE HELP
Select the correct answer.
A six-sided fair die and an eight-sided fair die are rolled together. What is the probability of getting numbers whose sum is a multiple of 3?
A. 1/18
B. 1/4
C. 1/3
D. 4/9
E. 2/3
Answers
Answer:
C. 1/3
Step-by-step explanation:
there are 48 possible outcomes, and out of those 16 of them have a sum of 3.
16/48
simplify
1/3
Really need help and am hoping someone can help me!!
Answers
The length of a field measures 3.5 miles.
what does the length of the field measure in feet?
note: 1 mile = 5,280 feet
13,200 ft
15,840 ft
18,480 ft
21,120 ft
Answers
Answer:
18480 feet
Step-by-step explanation:
5280 feet are in a mile 3.5 ×5280=18480
Tell whether the following postulate or property of the plane euclidean geometry has a corresponding statement in spherical geometry. explain your reasoning or write the corresponding statement.
1. if two lines form vertical angles, then the angles are equal in measure.
2. if two lines meet a third line at the same angle, those lines are parallel.
3. three lines can form two triangles.
4. three non-parallel lines divide the plane into 7 separate parts.
Answers
When two lines form vertical angles, then the angles are equal in measure. This is true.
What is a vertical angle?Vertical angles are angles opposite each other where the two lines cross. When two lines meet a third line at the same angle, those lines are not parallel.
There are no parallel lines in spherical geometry. On the globe, all the lines of longitude meet the equator at the right angle.
Three lines can form two triangles. This is true as three noncollinear points determine the triangle in spherical geometry.
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9,390 chairs at 1,565 tables =
chairs per table
Answers
---Divide by 1565
9390 chairs / 1565 tables
6 chairs / table
Hope this helps!
Gordon was thinking of a number. Gordon doubles it, then adds 20 to get an answer of 66.3. What was the original number?
Answers
Answer:
23.5
Step-by-step explanation:
let's take the number as X
2X+20=66.3
2X=66.3-20
X=23.15
23.15
23.15 X 2 = 46.3
46.3 + 20 = 66.3
Which expression is a cube root of -1+ i sqrt 3? (multiple choice)
Answers
Answer:
see below
Step-by-step explanation:
Find the magnitude (-1)^2 + (sqrt3)^2 = m^2 m = 2
find the angle arctan (sqrt3/-1) = 120 degrees
the cube root would then be
[tex]\sqrt[3]{2}[/tex](cos 40 + isin 40)
How you would divide. 17.6 divided by 3.2? *
Answers
Please answer ! Polynomials and Factoring problems. Thank you!
Answers
Answer: The answer to your first question is b^2+2b-8. You second answer is y^2-4y+3.
Step-by-step explanation: Now, these questions deal with the FOIL method commonly taught in schools. The FOIL method is to turn factored binomials back into quadratics. Let's first go over what FOIL means.
F - First. So you multiply the first terms in each set of parenthesis, so b times b and y times y make b squared and y squared.
O - Outer. Multiply the two outer terms together, so b times -2 and y times -3. Remeber to pay attention to your signs when you multiply during these probelms!
I- Inner. Multiply the two inner terms together. so 4 times b and -1 times y. Again, make sure the signs are incorporated!
L - Last. Multiply the last terms in the binomials. So 4 times -2 and -1 times -3.
Now that we have our numbers, we have expanded quadratics that look like these:
b^2 -2b+4b-8 and y^2-3y-y+3
Now combine the two middle terms into +2b and -4y, and your answers are b^2+2b-8 and y^2-4y+3.
6x5= 9x6= 8x7= 2x3= please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Can someone help me with this?
Answers
Answer:
s = 3, j = 14
Step-by-step explanation:
The full perimeter is 35.
The given sides we have are 7, 2, 4, 5, and the two missing ones. We will call the two missing ones j and s. (according to your drawing.)
-
The side with the number 7 on it is equal to the side with the number 4 and s.
Can you see that? Even if it's not a direct side, it is under it. (if you can't see that comment below.)
-
Now since we know that we can make an equation:
7=4+s
Subtract 4 on both sides.
3=s.
We now have the length of s, which is 3.
-
Since we now know what s is, we can add them all up once more.
3+5+7+2+4=21
You said the full perimeter is 35. This means j has to be 35-21, which is 14.
-
This drawing is not drawn to scale, I assume you are drawing this for practice.
-
Good luck on your test!
What is the equation of the quadratic function represented by this table?
Answers
The equation of the quadratic function is y = -1/4(x + 2)² + 4
How to determine the quadratic equation?A quadratic equation is represented as:
y = ax² +bx + c
When x = 0 and y = 3, we have:
3 = a(0)² +b(0) + c
This gives
c = 3
So, we have:
y = ax² +bx + 3
When x = 1 and y = 1.75, we have:
1.75 = a(1)² +b(1) + 3
This gives
a + b = -1.25
Make b the subject
b = -1.25 - a
When x = -2 and y = 4, we have:
4 = a(-2)² +b(-2) + 3
This gives
4a - 2b = 1
Substitute b = -1.25 - a in 4a - 2b = 1
4a - 2(-1.25 - a) = 1
Expand
4a + 2.5 + 2a = 1
Evaluate the like terms
6a = -1.5
Divide both sides by 6
a = -1/4
Substitute a = -1/4 in b = -1.25 - a
b = -1.25 + 1/4
Evaluate
b = -1
So, we have:
y = -1/4x² - x + 3
Factor out -1/4
y = -1/4(x² + 4x) + 3
-------------------------------------------------
Take the coefficient of x
k = 4
Divide by 2
k/2 = 2
Square both sides
(k/2)² = 4
-------------------------------------------------
Add and subtract 4 inside the bracket of y = -1/4(x² + 4x) + 3
y = -1/4(x² + 4x + 4 - 4) + 3
Expand
y = -1/4(x² + 4x + 4) + 1 + 3
Evaluate the sum
y = -1/4(x² + 4x + 4) + 4
Express the bracket as a perfect square
y = -1/4(x + 2)² + 4
Hence, the equation of the quadratic function is y = -1/4(x + 2)² + 4
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Solve the equation.
7x2 + 5 - x = 6x2 + 10
X =
20
It
Answers
Answer:
1 +√21 + 1 - √21
2 2
Step-by-step explanation:
factor out the ___ from the number to make it positive
Answers
Driving school A has 386 learner drivers and 284 pass their test first time. Driving school B has 220 learner drivers and 154 pass their first time. What is percentage pass rate of the more successful school? Answer to the nearest whole number.
Answers
Answer:
the more successful school is A
with a percentage pass rate of 74 % (to the nearest whole number)
Step-by-step explanation:
The percentage pass rate of school A :
(284÷386)×100 = 73.575129533679 %
The percentage pass rate of school B :
(154÷220)×100 = 70 %
73.575129533679 > 70
Then ,the more successful school is A
with a percentage pass rate of 74 % (to the nearest whole number)
1) Mark is buying 4 chairs for his business. The table shows the prices and the advertised sales for the same type
of chair at 4 chair stores.
Based on the advertised sales, at which store will mark get the lowest price on 4 chairs?
A) Store A: Buy 3 chairs and get the 4th chair free
B) Store B: Buy 4 chairs and receive $150 off the price of each chair
C) Store C: Buy 4 chairs and receive $550 off the total price
D) Store D: Buy 4 chairs and receive 35% off the total price
Quantitative Reasoning
(QR.6) Proportional Relationships
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Answers
Answer:
It's Store C
Hope this helps :)
Step-by-step explanation:
Got it right on USA TEST PREP :)
A sequence is represented by the formula an=-5+a(n-1). If a4 = 20, what is the 6th term in the sequence?
PLEASE HELP!!
Answers
Answer:
10
Step-by-step explanation:
Formula :
aₙ = -5 + aₙ₋₁Finding a₅ :
a₅ = -5 + a₄a₅ = -5 + 20a₅ = 15Finding a₆ :
a₆ = -5 + a₅a₆ = -5 + 15a₆ = 10Which probability is correct? p(a) = three-fifths p(b) = startfraction 16 over 31 endfraction p(a|b) = two-sevenths p(b|a) = startfraction 10 over 21 endfraction
Answers
The correct probability expression is (a) P(a) = three-fifths
How to determine the correct probability ?Using the data in the complete question, we have:
n(A) = 3
n(U) = 5
The probability of A is then calculated using:
P(A) = n(A)/n(U)
This becomes
P(A) = 3/5
Hence, the correct probability expression is (a) P(a) = three-fifths
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Answer:
It’s A my friend
Step-by-step explanation:
i did the quiz
yw :)
hope i helped/ made life easier
the food bill for meal at a restaurant is $12. THe sales tax is 6.5%, and you leave 15% tip. Wat is the total cost of the meal? PLEASE ANSWER FAST
Answers
Answer:
Step-by-step explanation:
12*6.5%=0.72
12+15%=13.8
0.72+13.8=14.52
PLS help
Jaime rode her bike 5 miles north to the park to meet a friend. Then they rode east to the library. If Jaime's house is 13 miles from the library, about how far is the library from the park?
Answers
please
that is the solution
Answer:8 miles
Step-by-step explanation:
Which of the following indicates that AABC and ADEF are similar?
Answers
Answer:
C. ΔABC ~ ΔDEF
Step-by-step explanation:
The operators in the different answer choices are used to describe different kinds of relations.
A. "almost equals" or "is approximately"
B. "equals"
C. "is similar to" (tilde operator)
D. "is congruent to"
__
Additional comment
"Congruent" is used to describe geometrical figures in which all corresponding measures are identical. "Equal" generally refers to the relationship between algebraic or numerical values or expressions.
"Is approximately" is used to describe values that are the same within a suitable tolerance or error range. For example, 23.4 ≈ 23.352, where the value on the left has been rounded to the nearest tenth. (It is within 0.05 of the value on the right.)
What binomial do you have to add to the polynomial 2x^2+3y^2-5xy+1 to get the following?
a polynomial that does not contain the variable y
Answers
Answer:
-3y^2+5xy
Step-by-step explanation: Just cancel out all of the numbers with the variable "y"
Binomial [tex]-3y^{2}+5xy[/tex] when added to polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex] gives polynomial that does not contain the variable y .
What is binomial?A mathematical expression consisting of two terms connected by a plus sign or minus sign .
Example: x + 2 is a binomial, where x and 2 are two separate terms.
What is polynomial?A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer
According to the question
polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex]
when added with [tex]-3y^{2}+5xy[/tex]
= [tex]2x^{2}+1[/tex] (as [tex]3y^{2} -5xy[/tex] got cancelled )
that does not contain the variable y
Hence, Binomial [tex]-3y^{2}+5xy[/tex] when added to polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex] gives that does not contain the variable y .
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A
31
-ft ladder leans against a building so that the angle between the ground and the ladder is
80
How high does the ladder reach on the building? Round answer to one decimal place
Answers
Check the picture below.
Make sure your calculator is in Degree mode.
Examine the following PSA How is the creator of this PSA sharing a viewpoint about the importance of reading? by providing a strategy for encouraging kids to read more often by showing what will happen if people do not read frequently by highlighting one of the benefits that comes from reading by featuring a specific fact about the importance of reading
Answers
The statement third “by highlighting one of the benefits that comes from reading” is correct.
What is reading?Reading is a thinking process that entails interpreting words in deriving information.
We have statements about the importance of reading:
by providing a strategy for encouraging kids to read more often.by showing what will happen if people do not read frequently.by highlighting one of the benefits that comes from reading.by featuring a specific fact about the importance of reading.According to the PSA, the correct statement about the importance of reading is by highlighting one of the benefits that comes from reading.
Thus, the statement third “by highlighting one of the benefits that comes from reading” is correct.
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Answer:
C
Step-by-step explanation: