For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.
1. 17
2. 12.7
3. 11
4. 12.2
Answers
Answer:
12.7
Step-by-step explanation:
[tex] \sin \: 42 \degree = \frac{x}{19} \\ \\ 0.6691306064 = \frac{x}{19} \\ \\ 0.6691306064 \times 19 = x \\ \\ x = 12.7134815 \\ \\ x \approx 12.7[/tex]
Related Questions
Bobby's dad is 41 and is 6 more than 5 times Bobby's age. Bobby's little sister Emma is one less than half his age. How old are Bobby and his little sister Emma?
Answers
Explanation : his dads age : 41
since his dads age is six more than, you would subtract 6 from 41 to get 35.
and since 35 is 5 times bobby’s age you would divide 35 by 5 to get 7
So bobby is 7.
bobby’s sister :
bobby’s age : 7
bobby’s little sisters age is one less than half of his age you subtract 1 from 7 and you would get 6
Now that it’s one less you have to find half so divide 6 by 2 and you’ll get 3
So bobby’s sister is 3.
bobby’s age : 41 - 6 = 35
35 (divided by) 5 = 7
bobby’s sister : 7 - 1 = 6
6 (divided by) 2 = 3
What is the value of the expression below when x=5?
Answers
Answer:
790
Step-by-step explanation:
You put 5 instead of x and you calculat
6*5^3 +8*5= 750+40=790
which transformation is happening in the image below
Answers
Answer:
B.) Reflection over y=-3
Step-by-step explanation:
Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339.
z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction
If the sample mean is $31,650, what is the z-score? Answers are rounded to the hundredths place.
Answers
Answer: The z-score = 2.46
Step-by-step explanation:
Given: sample size : n= 10
Population mean : [tex]\mu= 29056[/tex]
population standard deviation : [tex]\sigma= 3339[/tex]
Sample mean : [tex]\overline{x} = 31650[/tex]
Formula to calculate z :
[tex]z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
Substitute all values, we get
[tex]z=\dfrac{31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766}}\\\\=\dfrac{2594}{3339}\times3.16227766\approx2.46[/tex]
Hence, the z-score = 2.46
WILL GIVE BRAINLIEST - Given z = 1 –i, which letter represents z^3?
Answers
Answer:
A
Step-by-step explanation:
EDGE 2020
The solution is Option A.
The value of the equation is P = -2 - 2i
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 the equation be represented as z
Now , the value of z is
z = ( 1 - i )
Now , calculate the value of z³ is
z³ = ( 1 - i )³
z³ = 1³ - i³ - 3 ( 1 )²i + 3 ( i )² 1
On simplifying the equation , we get
z³ = 1 + i - 3 - 3i
z³ = -2 - 2i
Therefore , the value of z³ is -2 - 2i
The point on the graph is A
Hence , the value of the equation is -2 - 2i
To learn more about equations click :
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Rochelle is applying for two jobs at a restaurant. As a hostess, she would be paid $530
weekly. As a
server, she would be paid $310 weekly, plus tips.
Which inequality can be solved to findt , the weekly tips Rochelle has to earn in order for
the server job to
pay more than the hostess job?
Answers
Answer:
530+310+x=<310+x
Step-by-step explanation:
you need to find out x by doing 530+310 then divide 530+310 by 10
The question is below
Answers
Answer:
x + 7
Step-by-step explanation:
ajiahaqjjaqjajajanqjq
Which value could go in the blank cell so that the percentage of only children that
have no pets is 37.5%?
A. 63
B. 82
C. 175
D. 205
Answers
Answer:
maybe B
I am not to my answer
The solution is Option A.
The number of only children with no pets is given by the equation A = 63 and the percentage would be P = 37.5 %
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 the number of only children with no pets be A
Now , the equation will be
The number of siblings with pets = 82
The number of siblings with no pets = 141
The number of only child with pets = 105
Now , let A = 63
So , the total number of children = 105 + 63 = 168
The percentage given is P = 37.5 %
So , the percentage of children with no pets P = ( number of only children with no pets / total number of children ) x 100
Substituting the values in the equation , we get
Percentage of children with no pets P = ( 63 / 168 ) x 100
Percentage of children with no pets P = 0.375 x 100
Percentage of children with no pets P = 37.5 %
Therefore , the value of A is 63
Hence , the number of children with no pets i 63
To learn more about equations click :
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Carlos tosses a coin 3 times. What is the probability of a coin landing heads up all three times?
Answers
Answer:
1/8, or 12.5%.
Step-by-step explanation:
Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
what is the standard form of this expression?
(3x+4)(x-8)
Answers
Answer:
Step-by-step explanation:
(3x + 4) (x - 8)
3x2 - 8x + 4x - 32
3x2 - 4x - 32
Option B is the correct answer
Answer:
3x2 − 20x − 32
Step-by-step explanation:
Plato answer
binomio al cubo
(x+2)3
Answers
Answer:
3x+6
Step-by-step explanation:
(x+2)3
3(x)+3(2)
3x+6
An athlete takos 10 rounds of a rectangular park 10 m long and 30 m
wide Find the total distance covered by him.
Answers
Answer:
area of rectangular park is 2(l+b)2(10+30)2×4080m²total distance = 10×80m² = 800m²Given f(x) = 6x^4, find f^-1(x). Then state whether f^-1 (x) is a function.
A. Y=+or-(x/6)^4; f^-1(x) is not a function
B. Y= +or- (x/6)^4 ; f^-1(x) is a function
C. Y= +or- (x/6)^1/4 ; f^-1(x) is a function
D. Y= +or- (x/6)^1/4 ; f^-1(x) is not a function
Answers
Answer:
D. Y= +or- (x/6)^1/4 ; f^-1(x) is not a function
Step-by-step explanation:
A function g is the inverse of function f if for y=f(x), x=g(y).
y = 6x^4
Replace x with y:
x = 6y^4
Solve for y:
+or- x^1/4 = 6y
+or- (x/6)^1/4 = y
For each x there are 2 values of y: negative and positive. So, it is not a function.
Please help meeeeeeeeee
Answers
((4+10)/2, (2+4)/2)
answer is (7,3)
Answer:
(7,3)
Step-by-step explanation:
You're welcome.
trapped in a cell that contains 3 doors. The first door leads to a tunnel that returns her to back tothe cell after 2 days of travel. The second door leads to a tunnel that returns her back to the cell after 4days of travel. The third door leads her freedom after 1 day of travel. If it is assumed that Ally will alwaysselect doors 1, 2, and 3 with probabilities 0.5, 0.3, and 0.2 (respectively), what is the expected number ofdays until she reaches freedom
Answers
Answer:
The expected number of days until prisoner reaches freedom is 12 days
Step-by-step explanation:
From the given information:
Let X be the random variable that denotes the number of days until the prisoner reaches freedom.
We can evaluate E(X) by calculating the doors selected, If Y be the event that the prisoner selects a door, Then;
E(X) = E( E[X|Y] )
E(X) = E [X|Y =1 ] P{Y =1} + E [X|Y =2 ] P{Y =2} + E [X|Y =3 ] P{Y =3}
[tex]E(X) = (2 + E[X])\dfrac{1}{2}+ (4 + E[X])\dfrac{3}{10}+ 1 (\dfrac{2}{10})[/tex]
[tex]E(X) = (2 + E[X])0.5+ (4 + E[X])0.3+ 0.2[/tex]
Solving for E[X]; we get
E[X] = 12
I. What is
42% of
18?
need help fast!
Answers
Answer:
It is 7.56!
Other:
Brainliest? Thanks!
Please help and explain how you got the answer. Im giving out brainliest. || Q2
Answers
Answer:
B
Step-by-step explanation:
Convert 3/5 and each fraction so that that they have the same denominator by finding the (lowest) common multiple. If they have the same numerator, then the fractions are equivalent.
Whatever you multiply the denominator by, you need to multiply the numerator by.
A) The lowest multiple of 5 and 15 is 15.
5 * 3 = 15
3 * 3 = 9
3/5 = 9/15
B) The lowest multiple of 5 and 16 is 80.
5 * 16 = 80
3 * 16 = 48
3/5 = 48/80
16 * 5 = 80
12 * 5 = 60
C) The lowest multiple of 5 and 50 is 50.
5 * 10 = 50
3 * 10 = 30
3/5 = 30/50
D) The lowest multiple of 5 and 60 is 60.
5 * 12 = 60
3 * 12 = 36
3/5 = 36/60
Which is an equation of the line that passes
through the points (1.3) and (-1, 1)?
A. X= 1
B. y = 2x + 1
C. y=x+2
D. y = 3
Answers
Answer:
c) y=x+2
Step-by-step explanation:
find slope and y-intercept then write in y=mx+b form and see which one matches
What is the C.O.P for this relationship?
Answers
Answer:
4
Step-by-step explanation:
Constant of proportionality is given as, k = y/x
To find the constant of proportionality of the table of values given, use any of the given pairs of values, say, (1, 4).
Thus, k = 4/1 = 4
Constant of proportionality = 4
Answer:
The constant of proportionality is 4
Step-by-step explanation:
For every 4 there is one, so for 2 there would be an 8, for 3 a 12, so on and so 'forth'.
The table below shows the number of pages Stephen read by hour. If you were to graph the data it would be a proportional relationships. What is the slope of the data?
Number hours Stephen read Number of pages Stephen read
3 96
4 128
6 192
9 288
12 384
Answers
Answer:
32
Step-by-step explanation:
divide each number and you get 32 for all of them which gives you the slope i think
I WILL GIVE BRAINLIST!
Showthat (a+bi)2 = (a+b)(a−b) + 2abi
Answers
Answer:
see below
Step-by-step explanation:
(a + bi)²
= a² + 2abi + b²i² (This is because (a + b)² = a² + 2ab + b²; in this case, a = a and b = bi)
= a² + 2abi + b² · (-1) (This is because i² = -1)
= a² - b² + 2abi (Simplify, rearrange)
= (a + b)(a - b) + 2abi (This is because a² - b² factors to (a + b)(a - b))
Hope this helps!
Answer:
Step-by-step explanation:
(a + bi)²
= a² + 2abi + b²i²
a² + 2abi + b² · (-1)
a² - b² + 2abi
(a + b)(a - b) + 2abi
What is a reasonable amount of Miles on a used car that you are planning on purchasing
Answers
Answer:
1000 or more
Step-by-step explanation:
because the motor is is good shape
Work out (3.42 x 10-7) = (7.5 x 10-6)
Give your answer in standard form.
Answers
Answer:
0.24510
Step-by-step explanation:
What is
125% of
16?
please help me i’m not good at math at all.
Answers
Answer:
125% of 16 is 20
Step-by-step explanation:
Hope this helps!
Evaluate: 12y+9d if y = 5 and d = 7
Answers
Answer:
123
Step-by-step explanation:
Substitute values of y and d into equation.
12y+9d = 12(5) + 9(7)
Evaluate.
12(5) + 9(7) = 60 + 63
Simplify.
60 + 63 = 123
Answer:
123
Step-by-step explanation:
12y + 9d
12(5) + 9(7)
60 + 63
123
Oblicz ile wynosi niewiadoma (a+1)-(-8)= -9
Answers
Step-by-step explanation:
I don't understand your language but if it's the solution;
(a+1)-(-8)= -9
Remove the parentheses
a+1+8= -9
Collect the like terms
a= -9-8-1
a= -18
Use GCF to factor
40x+24y-56
Answers
Answer:
8(5x+3y-7)
Step-by-step explanation:
I just learned this like 2 months ago lolll
grab the image of the rectangle DEFG reflection across the line x= 3
Answers
Answers:
D ' at (9, -9)E ' at (5, -9)F ' at (5, -2)G ' at (9, -2)Refer to the diagram below
========================================
Explanation:
For points D,E,F,G we will follow these steps
Shift everything 3 units to the left so that the vertical line x = 3 will move on top of the y axis (which is the vertical line x = 0).Reflect across the y axis using the rule [tex](x,y) \to (-x,y)[/tex]. Here we have the x coordinate flip in sign from positive to negative, or vice versa. The y coordinate stays the same.Shift everything 3 units to the right so we effectively undo the first step. This places the points in the proper final position.Let's go through an example:
Point D is located at (-3, -9). Apply the three steps mentioned above.
Shift point D three units to the left to arrive at (-6, -9)Reflect over the y axis to go from (-6, -9) to (6, -9)Lastly, shift 3 units to the right to move to (9, -9) which is the location of D'In short, D(-3,-9) reflects over the line x = 3 to land on D ' (9, -9)
The other points E, F, G will follow the same steps to get the answers you see at the top.
The diagram below visually summarizes everything.
-------------
Side notes:
The distance from D to the line of reflection is the same as the distance from D' to the line of reflection. Put another way, the line of reflection bisects segment DD'. Points E,F,G follow the same property.Going from D to E to F to G has us go counterclockwise. Going from D' to E' to F' to G' has us go clockwise. Any reflection transformation will flip the orientation.What is the initial value of the exponential function shown on the graph?
0
1
2
4
Answers
Answer:
4
Step-by-step explanation:
Answer:
It's 4
Step-by-step explanation:
Edge 2020
Which of the three ordered pairs represent the
unit rate?
(1,4)
(3, 12)
(2,8)
Answers
Answer:
(1,4)
Step-by-step explanation:
That's the rate that each coordinate point goes up by as well as it's the first point in the table