Find the measure of the angle indicated (X). Round to the nearest tenth. Show your work to support your answer. C 13 4 0 A B
Answers
Step-by-step explanation:
solution given.
relationship between perpendicular and base is given by tan angle
tan ø=perpendicular/base
ø=tan-¹(4/13)=17.10272897=17° is your answer
Related Questions
A certain test preparation course is designed to help students improve their scores on the GRE exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 5 students' scores on the exam after completing the course: 6,14,12,23,0 Using these data, construct a 95% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal. Step 2 of 4 : Calculate the sample standard deviation for the given sample data. Round your answer to one decimal place.
Answers
Answer:
(0.25 ; 21.75)
8.7 (1 decimal place)
Step-by-step explanation:
Net change in scores : X = 6,14,12,23,0
Sample mean, xbar = (6 + 14 + 12 + 23 + 0) /5 = 55 /5 = 11
Sample standard deviation, s = 8.66 ( from calculator)
Sample standard deviation = 8.7( 1 decimal place)
Sample size, n = 5
The 95% confidence interval; we use t, because n is small
Tcritical at 95%, df = 4 - 1 = 3 ; Tcritical = 2.776
Xbar ± standard Error
Standard Error = Tcritical * s/√n
Standard Error = 2.776 * 8.66/√5
Standard Error = 10.751086 = 10.75
Lower boundary = (11 - 10.75) = 0.25
Upper boundary = (11 + 10.75) = 21.75
(0.25 ; 21.75)
The
The length of a rectangle is 5 more than the width. The area is 500 square feet. Find the length and width of the rectangle.
Answers
Answer:
length = 25ft, width = 20ft
Step-by-step explanation:
Let x= width, so length = x+5
Area = l x w so A = x(x+5)
Since the area is given as 500 sqft, your equation is x(x+5)=500.
Although the numbers are easy enough to factor in your head, mathematically the equation can be solved as a quadratic, as follows:
x^2 + 5x -500 = 0
Using either factoring or quadratic formula, x = 20 (the other value is negative). Therefore the width is 20ft and the length is 25ft.
The table of values represents a function f(x).
How much greater is the average rate of change over the interval [7, 9] than the interval [4, 6]?
Enter your answer in the box.
Answers
Answer:
It is 603 units greater
Step-by-step explanation:
Given
See attachment for table
Average rate of change over (a,b) is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b-a}[/tex]
For interval [7,9], we have:
[tex][a,b] = [7,9][/tex]
So, we have:
[tex]Rate = \frac{f(9) - f(7)}{9-7}[/tex]
[tex]Rate = \frac{f(9) - f(7)}{2}[/tex]
From the table:
[tex]f(9) = 3878[/tex]
[tex]f(7) = 1852[/tex]
So:
[tex]Rate = \frac{f(9) - f(7)}{2}[/tex]
[tex]Rate = \frac{3878 - 1852}{2}[/tex]
[tex]Rate = \frac{2026}{2}[/tex]
[tex]Rate = 1013\\[/tex]
For interval [4,6], we have:
[tex][a,b] = [4,6][/tex]
So, we have:
[tex]Rate = \frac{f(6) - f(4)}{6-4}[/tex]
[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]
From the table:
[tex]f(6) = 1178[/tex]
[tex]f(4) = 358[/tex]
So:
[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]
[tex]Rate = \frac{1178 - 358}{2}[/tex]
[tex]Rate = \frac{820}{2}[/tex]
[tex]Rate = 410[/tex]
Calculate the difference (d) to get how much greater their rate of change is:
[tex]d = 1013 - 410[/tex]
[tex]d = 603[/tex]
Answer:
603
Step-by-step explanation:
i took it
Match each equation on the left with the number and type of its solutions on the right.
Answers
Answer:
Step-by-step explanation:
1). Given equation is,
2x² - 3x = 6
2x² - 3x - 6 = 0
To find the solutions of the equation we will use quadratic formula,
x = [tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Substitute the values of a, b and c in the formula,
a = 2, b = -3 and c = -6
x = [tex]\frac{3\pm\sqrt{(-3)^2-4(2)(-6)}}{2(2)}[/tex]
x = [tex]\frac{3\pm\sqrt{9+48}}{4}[/tex]
x = [tex]\frac{3\pm\sqrt{57}}{4}[/tex]
x = [tex]\frac{3+\sqrt{57}}{4},\frac{3-\sqrt{57}}{4}[/tex]
Therefore, there are two real solutions.
2). Given equation is,
x² + 1 = 2x
x² - 2x + 1 = 0
(x - 1)² = 0
x = 1
Therefore, there is one real solution of the equation.
3). 2x² + 3x + 2 = 0
By applying quadratic formula,
x = [tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
x = [tex]\frac{-3\pm\sqrt{3^2-4(2)(2)}}{2(2)}[/tex]
x = [tex]\frac{-3\pm\sqrt{9-16}}{4}[/tex]
x = [tex]\frac{-3\pm i\sqrt{7}}{4}[/tex]
x = [tex]\frac{-3+ i\sqrt{7}}{4},\frac{-3- i\sqrt{7}}{4}[/tex]
Therefore, there are two complex (non real) solutions.
2. If tan 0 = 3/4, find Sin 20
Answers
Answer:
This is an impossible question. tan(0) = 0 If this means that you are supposed to just add 3/4 to each of these, then sin(20) = 1.09
Hope that this helps!
The following measurements (in picocuries per liter) were recorded by a set of carbon dioxide detectors installed in a manufacturing facility: 799.2,784.3,803.8,806.8,780.5,794.8 Using these measurements, construct a 95% confidence interval for the mean level of carbon dioxide present in the facility. Assume the population is approximately normal. Step 3 of 4: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answers
Answer:
(783.806 ; 805.994)
Step-by-step explanation:
Given the sample :
X : 799.2,784.3,803.8,806.8,780.5,794.8
Sample size, n = 6
Sample mean, xbar = Σx / n = 794.9
Sample standard deviation, s = 10.574 ( calculator)
Tcritical at 95%, df = 6 - 1 = 5 equals 2.57
Confidence interval :
Xbar ± standard error
Standard Error = Tcritical * s/√n
Standard error = 2.57 * 10.574/√6 = 11.094
Lower boundary = (794.9 - 11.094) = 783.806
Upper boundary = (794.9 + 11.094) = 805.994
(783.806 ; 805.994)
ANSWER ASAP DONT SEND A FILE. IS THIS SHAPE A ROTATION, REFLECTION,TRANSLATION, DILATION OR NONE????
Answers
Answer:
translation
Step-by-step explanation:
Answer:
I think it's dilation or none
Step-by-step explanation:
what is the answer to my math problem. Evaluate 32^1/5
Answers
the answer is 2
Solution:
32⅕
(2⁵)⅕
Answer is 2
Assume n is a natural number bigger than 1. what is the total number of ways you can write down as total sum of other numbers?
Answers
Answer:
report me !!! dont ask why or how
Step-by-step explanation:
12. If one line passes through the points
(-3,8) & (1,9), and a perpendicular line passes
through the point (-2,4), what is another point
that would lie on the 2nd line. Select all that apply.
A. (-1,0)
B. (2,5)
C. (5,2)
D. (-6,3)
E. (8,-3)
F. (-3,8)
Answers
9514 1404 393
Answer:
A, F
Step-by-step explanation:
Points A(-1, 0) and F(-3, 8) lie on the 2nd line. (Its equation is 4x+y=-4.)
If the standard deviation of a data set were originally 4, and if each value in
the data set were multiplied by 1.75, what would be the standard deviation of
the resulting data?
A. 3
B. 4
c. 7
D. 1
Please help
Answers
Answer:
it's a.
Step-by-step explanation:
you have to find the mean
25x to the 2nd power minus 49
Answers
Answer:
(5x+7) (5x-7)
Step-by-step explanation:
you can look up the answer on symbolab if needed
Determine whether the function are inverse. F(x)=6x+l;g(x)=6x-1
Answers
f^-1(x)= (x-1)/6
Help 100 points to answer the page
Answers
Answer:
Use trigonometry
sine = opposite leg / hypotenusecosine = adjacent leg / hypotenusetangent = opposite leg / adjacent leg#123/x = sin 68x = 23 / sin 68x = 24.8Choice A
#221/x = tan 26x = 21/ tan 26x = 43.1Choice D
Note. All numbers below are rounded to the nearest tenth#312/x = sin 53x = 12 / sin 53x = 15.0#48/x = tan 34x = 8/tan 34x = 11.9#5x/ 12 = cos 26x = 12 cos 26 x = 10.8#6x / 13 = sin 34x = 13 sin 34x = 7.3#7x / 18 = sin 53x = 18 sin 53 x = 14.4#8x / 10 = tan 30x = 10 tan 30 x = 5.8#9cos X = 21/35 = 3/5#10tan X = 32/24 = 4/3Answer:
the person above me is correct i said that because i did the math and solved it
Step-by-step explanation:
Help me!! Thank you for the help!!
Answers
Answer:
D. 0.34
Step-by-step explanation:
0.24²+0.31²=x² then you find the square root
Answer:
the answer is 0.28, Because of SEGEMENT FH IS HALF OF FG BECAUSE ITS A RIGHT ANGLE.
(I’ll give points + brainalist for the correct answer with an explanation)
Answers
Answer:
b
Step-by-step explanation:
divide 1/4 by 20
Someone walked%s the length of this room
then walked backward 4 the length of this
room before walking forward / the length
of the room and hiding the key there. How
far across the room (as a fraction) is the
key? Use a "/" as a fraction bar in your
answer.
Answers
Answer:
E-e-e-e-et-t-t-o.... B-b-b-b-b-baka h-h-huh... g-g-g-g-g-g-gOmensas-s-s-sai S-senpai...
Step-by-step explanation:
uHM yeah
3. Suppose that a parabola has
x-intercepts (-3,0) and (2,0) and goes
through the point (-1,12). Which
quadratic function represents the parabola
in factored form?
A
y=-(2 - 3)(x + 2)
B
y= -2(x − 3)(x + 2)
Y= -2(x+3)(2 – 2)
D.
y= (2 + 1)(x - 2)
Answers
Answer:
C. I used to not get this but now I do. hope I helped
In how many different ways can a red, blue, and green marker be arranged in a tray?
Answers
Answer:
6 ways.
There are one red, one blue and one green maker. So there are 3 markers they are in 3! = 3×2 = 6 ways.
Please mark brainliest! <3
NEED HELP FAST CLICK TO SEE PLS
Answers
Answer:
Last Option
Step-by-step explanation:
Last one because the dot on top of the 4 is filled in and that means it can also equal 4. The rest of the line is going to the right of the 4 so x will be more than 4. The little line below the more than sign means it can also equal 4. Hope this helped :)
Answer:
Option D, x ≥ 4
Step-by-step explanation:
Rule 1: Closed circle: the inequality sign with a line at the bottom, its called greater than or equal to (≥), and less than or equal to (≤), that means that the number 4 is included in the data set.
Rule 2: Since the line is going to the right of 4, there are values greater than 4 in the data set which means x (any value) has to be greater than 4.
So bringing both rules together the equation would be: x ≥ 4
Hope this helps!
Identify like Terms
8x2 yx3 9x2 y2 5y
Answers
Explanation:
Can someone help me with this please
Answers
Answer:
You multiply them 2x each time.
Step-by-step explanation:
Multiply
Anybody know the answer to this it would be very helpful
Answers
Answer:
The cost for 4 snacks is 18 dollars.
Cost for x snacks: 4.5x
Step-by-step explanation:
4 x 4.5 = 18
Answers:
Cost for 4 snacks = 70 dollarsCost for x snacks = 4.50x+52 dollarsThe algebraic expression shown above is the same as writing 52+4.50x
You may not need to type in "dollars" or a dollar sign, as your teacher may just want the numbers and algebraic symbols.
=====================================================
Explanation:
There are four people going to the movies, and each ticket costs $13 a piece, so that means the total so far is 4*13 = 52 dollars.
If we want to include snacks, then it costs $4.50 per snack. Buying 4 packages will cost an additional 4.50*4 = 18 dollars. In total, if Kiran wants to buy four snacks, then he'll need 52+18 = 70 dollars.
---------------------
Instead of computing 4.50*4 to get 18, we can leave the "4.50*4" like it is. Adding it onto the 52 found earlier leads to the expression 52+4.50*4
Now imagine that instead of "4", we just had a generic placeholder x take over. The x is standing in for any positive real number, or it could stand in for 0 if Kiran decides to not buy any snacks at all.
If we replace that "4" with x, then the expression
52+4.50*4
is the same as
52+4.50*x
Often times, you'll see the multiplication symbol omitted and the expression could look like 52+4.50x
Because we can add two numbers in any order, that expression above is the same as 4.50x+52
-------------------
Extra info (optional section):
The useful thing about something like 4.50x+52 is that we can graph y = 4.50x+52 and/or set up a table to be able to quickly determine how much money it will cost for buying any amount of snacks.
For example, let's say he wants to buy 10 snacks. That means we replace x with 10 and evaluate like so
4.50x+52 = 4.50*10+52 = 45+52 = 97
Buying 10 snacks, on top of the 4 movie tickets, cost $97 in total.
Devin has a rectangular vegetable garden. He planted tomatoes in section of the garden with an area of 6 square yards. There were 30 square yards remaining for Devin to plant zucchini. Let g represent the total area of the garden. Which equation models the problem? Solve the equation to find the total area of the garden. g =
Answers
Answer:
g=30y^2+6y^2
Step-by-step explanation:
30 years left after six were taken
Find the area of the figure 2m 3m 6m 3m
Answers
6 x 3 = 18
area of triangle = base x height over 2
2 x 6 = 12
12 / 2 = 6
triangle 2
3 x 3 = 9
9 / 2 = 4.5
add everything together
4.5 + 6 + 18 = 28.5 m^2
X= 6 2/3 , 9, 12
Only serious answers plzzzzz
Answers
Answer:
x = 9
Step-by-step explanation:
4(5 + 4) = 3(x + 3) => Intersecting secants theorem
4(9) = 3(x + 3)
Open bracket by applying distributive property
36 = 3x + 9
Subtract 9 from each side
36 - 9 = 3x + 9 - 9
27 = 3x
Divide both sides by 3
27/3 = 3x/3
9 = x
x = 9
Solve for all values of x by factoring.'
x2 + 10x + 21 = 0
Answers
Answer:
Step-by-step explanation:
2x+10x=12x
12x=-21
x=-1.75
Answer:
x=-7,-3
Step-by-step explanation:
x2+10x+21
(x+7)(x+3)
x=-7,-3
62. AAA+AA+A= 246 => A= ?
A.1 B.4 C. 2 D.5 E. 8
Answers
Answer:
C. 2
Step-by-step explanation:
222 + 22 + 2 = 246
So A = 2
Tell the error and leave if you disagree or agree.
Answers
Answer:
Step-by-step explanation:
9. disagree;
error: he should have divided 60 by 4, not subtracted. So the correct answer is x = 15.
10. disagree;
error: it should be 3x + 2 = 127 (opposite angles)
so x = 125/3
Is -2.4 and 1.5 repeating or terminating decimals?
Answers
Answer:
terminating decimals
Step-by-step explanation: