Since we have a right triangle and the hypotenuse is in front of the right angle, then the tangent of angle X is given by
\(\tan X=\frac{36}{27}\)then, applying the inverse function on both sides, we get
\(\begin{gathered} X=\tan ^{-1}(\frac{36}{27}) \\ X=\tan ^{-1}(1.3333) \end{gathered}\)then, we have
\(X=53.13\text{ degre}es\)By rounding down to the nearest integer, the answer is 53 degrees
IN A CLASS OF 60 STUDENTS, 25 PLAYS BASKETBALL, 2O PLAY VOLLEYBALL, AND 10 STUDENTS PLAY BOTH OF THEM. HOW MANY STUDENTS PLAY NEITHER BASKETBALL NOR VOLLEYBALL ?
Answer:
5
Step-by-step explanation:
60-25=35
35-20=15
15-10=5
5 people dont play either of them
Answer:
25
Step-by-step explanation:
To solve this, we can add the number of basketball players and the number of volleyball players:
25 + 20 = 45
But we know that there are ten players who are counted twice because they play both. So we subtract 10:
45 - 10 = 35
And that is the total number of students who play either basketball or volleyball. Now to figure out those that play neither sport we subtract the number of students by the number of players:
60 - 35 = 25
That’s the number of students who don’t play one of those sports.
What is 6.2% of 105 also please include what equation you use to find it
Answer:
6.51
Step-by-step explanation:
105×6.2/100
it gives 6.51
A Portland high school wanted to see if reading test scores have changed in the past 30 years by testing a random sample of 25 students to see whether there is a significant change from the average score of 78 thirty years ago. The sample yields a mean and standard deviation of 84 and 8 respectively. What is the unknown parameter of interest in this example?
Answer:
Step-by-step explanation:
The unknown parameter of interest in this example is the value of the change in the Portland high school population reading test score in the past 30 years.
Desperate Need Of Help
The domain and range of the graph above in interval notation include the following:
Domain = [-6, 3]
Range = [-3, 3]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-6, 3] or -6 ≤ x < 3.
Range = [-3, 3] or -3 < y < 3
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pilar said that the expressions -4x + 3x + 2 and -x + 2 are equivalent. is pilar correct. explain
Yes, this is correct. If you solve the first equation it equals the second equation.
E math. Math help? Maybe? I hope do. pls do.
Answer:
2
Step-by-step explanation:
3x+4=9x-8
*add -3x to both sides
4=6x-8
*add +8 to both sides
12=6x
*Divide both sides by 6
2=x
A corporation has four factories, each of which manufactures sport utility vehicles and pickup trucks. The number of units of vehicle produced at factory in one day is represented by in the matrixA = | 100 90 70 30 || 40 20 60 60 |Find the production levels if production is increased by 10%
If the production is increased by 10%, the new production levels for sport utility vehicles and pickup trucks are:
Factory 1: 110 sport utility vehicles
Factory 2: 99 sport utility vehicles
Factory 3: 77 sport utility vehicles, 66 pickup trucks
Factory 4: 33 sport utility vehicles, 66 pickup trucks
To find the production levels if production is increased by 10%, we need to multiply each entry of the matrix by 1.1:
A' = 1.1A = | 110 99 77 33 || 44 22 66 66 |
The matrix A' represents the new production levels. The entry in the first row and first column of A' (110) represents the number of sport utility vehicles produced at the first factory after the 10% increase in production. Similarly, the entry in the second row and third column of A' (66) represents the number of pickup trucks produced at the third factory after the 10% increase in production.
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3,998-(-7)= can you please help me with this problem
Answer:
4005
Step-by-step explanation:
3,998 - (-7) = ?
Two negative signs will make a positive sign.
3,998 - (-7) = 3998 + 7 = 4005
So, the answer is 4005
The given figure is a right triangular prism.
In the prism:
• DF = 22 in.
• EG = 11 in.
• Volume of the prism = 1936 cubic in.
What is the length of AD?'
Use the given information to complete the worksheet.
Thank you!
The length of side AD is,
⇒ AD = 16
We have to given that;
The given figure is a right triangular prism.
In the prism:
• DF = 22 in.
• EG = 11 in.
• Volume of the prism = 1936 cubic in.
Since, Volume of right triangular prism is,
V = 1/2 (bh) x L
Substitute all the values we get;
V = 1/2 (22 × 11) × AD
1936 = 121 × AD
AD = 16
Thus, The length of side AD is, 16
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Combine all like terms to simplify the expression.
Answer:
\(\large\boxed{\tt C. \ 3x^{3} +15x -9}\)
Step-by-step explanation:
\(\textsf{We are asked to simplify the expression by cobining like terms.}\)
\(\large\underline{\textsf{What is Combining Like Terms?}}\)
\(\textsf{Combining Like Terms is simplifying an expression to where all the constants can't}\)
\(\textsf{be simplified further. Note that constants are numbers that are alike, where there}\)
\(\textsf{isn't any different variables and exponents.}\)
\(\large\underline{\textsf{Solving;}}\)
\(\tt 14x+3x^{3} -9+x\)
\(\textsf{The like terms (constants) are only 14x and x, which means this is the only thing}\)
\(\textsf{that we'll combine.}\)
\(\tt \boxed{\tt14x}+3x^{3} -9+\boxed{\tt x}\)
\(\textsf{Per a Polynomial, the term with the highest exponent goes first, then variables, then}\)
\(\textsf{whole numbers.}\)
\(\large\underline{\textsf{Hence;}}\)
\(\large\boxed{\tt C. \ 3x^{3} +15x -9}\)
Edet took sixth at the end of term test and each test was marked out of 80. If his marks were 48, 52, 46, 46, 44 and 52. What percentage of the total marks did he get?
The percentage of the total marks that Edet gets is 60%
How to calculate the percentage?The percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
In this situation, the score of Edet will be:
= 48 + 52 + 46 + 46 + 44 + 52
= 288
Total score = 80 × 6
= 480
The percentage will be:
= 288 / 480 × 100
= 60%
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what is the diameter of a circle that has a radius of 121 feet ?
Answer:
242 feet
Step-by-step explanation:
What is diameter?Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.
To calculate the diameter when given radius, we can use this equation:
radius × 2 = diameterInserting 121 into the equation:
121 × 2 = 242 feet.Therefore, the diameter of a circle that has a radius of 121 feet is 242 feet.
What is the perimeter?
30 km
22 km
33 km
36 km
Answer:
121 km
Step-by-step explanation:
i added all the number together
Can anyone tell me how to do this? Step by step
Step-by-step explanation:
f(x)=x^2-4x-9
g(x)=-3x-5
so when f(g(x)) that x is a number
-3x-5 equals the number in f(x) so that x is -3x-5
f(-3x-5) and if f(x)=x^2-4x-9
then inserting in -3x-5 for x in f(x) and distrubute
(-3x-5)^2-4(-3x-5)-9
9x^2+42x+36
I hope that helps :)
Answer:
9x^2 + 42x + 16
Step-by-step explanation:
f(g(x))
Plug in the expression for g(x)
f(g(x)) = f(-3x - 5)
f(x) = x^2 - 4x - 9
For every x in f(x) replace it with -3x - 5
f(-3x - 5) = (-3x - 5)^2 - 4(-3x -5) -9
Expand
f(-3x - 5) = (9x^2 + 30x + 25) + (12x + 20) - 9
Combine like terms
f(-3x - 5) = 9x^2 + 42x + 16
f(g(x)) = 9x^2 + 42x + 16
Peter is overweight. He is 105 kg. His aim is to lose 500 g per week. If he manages this, how many weeks will it be until he is 90 kg?
Answer:
30 weeks
Step-by-step explanation:
Step-by-step explanation:
1 week -500
2 week -1kg
105-90
15
15 .2
30
there fore its take 30weeks to reduce his weight to 90kg
Find the x- and y-intercepts of the graph of 3x - 5y = 25. State each answer as an
integer or an improper fraction in simplest form.
Answer:
\(\bf\mathsf{X-intercept=(\frac{25}{3},\:0)}\)
Y-intercept = (0, -5)
Step-by-step explanation:
Given the linear equation in standard form, 3x - 5y = 25, for which we must determine its x- and y-intercepts.
It is essential to understand what the intercepts mean relative to the given equation and its location on the graph.
X-intercept:The x-intercept is the point where the graph crosses the x-axis. Hence, its coordinates are often represented by (a, 0). Thus, the x-intercept provide the value of x when the value of the y-coordinate is 0.
Now, we can solve the x-intercept by setting y = 0:
3x - 5y = 25
3x - 5(0) = 25
3x - 0 = 25
3x = 25
Divide both sides by 3 to solve for x:
\(\large\mathsf{\frac{3x}{3}\:=\:\frac{25}{3}}\)
\(\bf\mathsf{x=\:\frac{25}{3}}\)
Therefore, \(\bf\mathsf{X-intercept=(\frac{25}{3},\:0)}\) .
Y-intercept:The y-intercept is the point where the graph crosses the y-axis. Hence, its coordinates are often represented by (0, b ). Thus, the y-intercept provide the value of y when the value of the x-coordinate is 0.
Now, we can solve the y-intercept by setting x = 0:
3x - 5y = 25
3(0) - 5y = 25
0 - 5y = 25
-5y = 25
Divide both sides by -5 to solve for y:
\(\large\mathsf{\frac{-5y}{-5}\:=\:\frac{25}{-5}}\)
y = -5
Therefore, the y-intercept is (0, -5).
when using the some rule ,we only use two of the equal ratios at one time.That is we work with pairs of _____ sides and angle?
When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.
Which set of ratios form a proportion?When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.
When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.
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A science museum has an average of 424 visitors each day. The museum is open every day. Over a two-week period, how many people visit the museum?
Answer:
5936 people
Step-by-step explanation:
Answer: 5936 people visit the museum in an average of 2 weeks.
Step by Step Explanation:
There is 7 days in a week. To find the amount of day in two weeks multiply the number of days in a week by 2.
7x2=14
Next, multiply 424 by the number of days in two weeks.
424x14= 5936
The answer is, 5936 people visit the museum in an average of 2 weeks.
The equation 20 + 5x = y represents the amount of money in a bank
account, y, after x weeks of deposits. Which equation represents the
same equation, solved for x
Answer:
B
Step-by-step explanation:
Find the mussing numbers
13315
+ ****
24 305
you are missing 11553
can i have brain
Answer:
ok here is all you do
24,305
-13315
-------------
23,090
Step-by-step explanation:
slope of the line perpendicular to the line whose equation is −2x + y = −3
Answer:
What is the slope of a line perpendicular to the line whose equation is 2x+y=3?
Step-by-step explanation:
-1/2
Step-by-step explanation:
perpendicular slopes are the opposite reciprical
so you basically flip it and change the sign
I hope this helps :)
Answer:B
Step-by-step explanation:
What is the slope of the line shown on the grid?
A) Undefined
B) 0
C) -2
D) 1
Answer:
A
Step-by-step explanation:
Answer:
A) Undefined
Step-by-step explanation:
A vertical slope doesn't have a slope
Angela took a general aptitude test and scored in the 90th percentile for aptitude in accounting. (a) What percentage of the scores were at or below her score? % (b) What percentage were above?
Answer:
Step-by-step explanation:
From the given information;
Angela took a general aptitude test and scored in the 90th percentile for aptitude in accounting.
What percentage of the scores were at or below her score?
The percentage of scores that were at or below her score is
Percentage P = 90%
This benchmark is more than average, so we can typically say more of the scores were at or below her score
What percentage were above?
Since The percentage of scores that were at or below her score is
Percentage P = 90%
Then the percentage of the scores that were above will be : (100 -90)%
= 10 %
We can see here that less percentage of score were above Angela's Score.
Help pleaseeeerrreeeeeee
Answer:
A
Step-by-step explanation:
I do think its A, its not c or d because it is perpindicular, but i'm only in 6th grade and 10years so its either a or b
6 minutes 20 seconds into seconds.
Answer:
380 seconds
Step-by-step explanation:
Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360
Now add the 20 seconds.
360 + 20 = 380
6 minutes and 20 seconds are equal to 380 seconds.
Please Solve, Thank you!
Answer:
1711
Step-by-step explanation:
\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)
Make sure to follow order of operations!
PLEASE HELP AS SOON AS POSSIBLE
Answer:
B
Step-by-step explanation:
Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.
I need help with geometry! I need to find x and y, please help asp
Check the picture below.
PLEASE I NEED HELP the question is,
In the diagram of triangle LAC and triangle DNC below, LA = DN, CA = CN, and DAC is perpendicular to LCN.
a) Prove that triangle LAC = triangle DNC.
b) Describe a sequence of rigid motions that will map triangle LAC onto triangle DNC.
Answer:
1244 DCD
Step-by-step explanation:
select the expression that is equivalent to y to the power of -4/3
Answer:
C
Step-by-step explanation:
\(y^{-\frac{4}{3}} = \frac{1}{y}^{\frac{4}{3}} = \sqrt[3]{\frac{1}{y}} = \frac{1}{\sqrt[3]{y^4}}\)
I hope I've helped you.