The trigonometric ratios of the right triangle with the given value tan A = 9 / 40 are
sin A = 9 / 41
cos A = 40 / 41
Trigonometric ratiosTrigonometric ratios are used to solve for the sides and angles of a right angle triangle.
Therefore,
sin A = opposite / hypotenuse
cos A = adjacent / hypotenuse
tan A = opposite / adjacent
Using Pythagoras theorem, let find the hypotenuse side
c² = 40² + 9²
c = √1681
c = 41
Therefore,
sin A = 9 / 41
cos A = 40 / 41
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A trampoline park charges $2 plus an hourly rate for each hour. The sign to the
ght gives the prices for up to 3 hours of parking. Which linear equation
epresents the given information where C is the total cost and h is the number of
hours spent at the park?
The linear function that gives the cost of spending h hours at the park is given by:
C(h) = 2 + mh.
In which m is the hourly rate.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The fixed rate is the y-intercept, hence, the linear function that gives the cost of spending h hours at the park is given by:
C(h) = 2 + mh.
In which m is the hourly rate.
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WILL MARK BRAINLIEST!!!
A bag contains four red marbles, three blue marbles, two yellow marbles, and one green marble. Two marbles are drawn from the bag, one at a time, without replacement. What is the probability of drawing two blue marbles?
Answer:
1/12
Step-by-step explanation:
The initial probability of drawing a blue marble would be 3/9 as there are initially 3 blue marbles and in the bag there are a total of 9 marbles however, to get the second blue marble, the probability would be 2/8 since there's one less blue marble in the bag, making it 2 and one less marble in the bag, in general, leaving 8 marbles in the bag. To find the combined probability of getting both blue marbles, multiply the probabilities so:
3/9 x 2/8 = 1/3 x 1/4 = 1/12
What is the quotient of (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1)? 2 x superscript 4 baseline minus 3 x cubed minus eleven-halves 2x2 x – 3 – startfraction 6 over x squared minus 2 x 1 endfraction 2x2 – x 2x2 x – 3
The answer choice which represents the quotient of the polynomials given is; 2x² +x -3.
What is the quotient of the polynomial division?According to the task content, the quotient of the polynomial division; (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1) is required;
Hence, it follows from long division of polynomials that the required quotient is; 2x² +x -3.
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Answer:
D: 2x² +x -3
Step-by-step explanation:
find the area of the triangle
Answer:
this is a trapazoid so it is 32.5
Step-by-step explanation:
formula equals base + base / 2 x h = 9 + 4 / 2 x 5 = 32.5
mad skillz, good luck cheating
If an event is unlikely to occur, the probability is between ____ and ____ on the probability spectrum.
if an event is very likely to occur, the probability is between _____ and _____ on the probability spectrum.
btw thank you for answering ngas lol
Answer:
Certain and likely.
Solve 12≥2(3n+1)+22. Show your answer in the form of an inequality.
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
n ≤ − 2
Dewmini has two coconuts lands as A and B. A seller ask to have one coconut at Rs. 34. But Dewmini got Rs. 25 000 income by selling the coconuts from the land A each at Rs. 30 and the coconuts from land 8, each at Rs. 40. Income gain by land A is Rs. 5000 more than the income gain by land B. 1.By taking the number of coconuts from land A as x and the number of coconuts from land B as y, build up a pair of simultaneous equations 2. Solve them and find the number of coconuts sold by two lands separately. If coconuts sold as the way seller said, show that Dewmini can gain Rs. 500 more
[tex] \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Volume of a rectangular prism is ~
[tex] \sf{Volume_{cuboid}= Length × Width × Height} [/tex]
[tex]\qquad \sf \dashrightarrow \: v = (4x + 2) \times (3x - 5) \times (7x + 4)[/tex]
[tex]\qquad \sf \dashrightarrow \: v = (12 {x}^{2} - 20x + 6x - 10) \times (7x + 4) [/tex]
[tex]\qquad \sf \dashrightarrow \: v = (12 {x}^{2} - 14x- 10) \times (7x + 4)[/tex]
[tex]\qquad \sf \dashrightarrow \: v = 84 {x}^{3} + 48 {x}^{2} - 98x {}^{2} - 56x - 70x - 40[/tex]
[tex]\qquad \sf \dashrightarrow \: v = 84 {x}^{3} - 50 {x}^{2} - 126x - 40[/tex]
So, the correct choice is B
pasagot po, thank you
Step-by-step explanation:
6) The sum of the length of any two sides of a triangle is always equal to the third side.
Option C 3,4,7
7) The sum of the length of any two sides of a triangle is always equal to the third side.
Option B 5 units
8) The sum of the length of any two sides of a triangle is always equal to the third side.
Option D 13 units
9) The sum of the length of any two sides of a triangle is always equal to the third side.
Option A 5<x<13
You are investing $1500 at 5.2% compounded annually. How much money will you have in 12 years?
Answer:
$2756.01 to the nearest cent.
Step-by-step explanation:
A = P(1 + r)^t where A is the amount after t years, P = amount invested, r = rate as a decimal fraction.
So here, we have:
A = 1500(1 + 0.052)^12
= 1500 * 1.837337
= $2756.01
What is the surface area for a rectangular prism with the height of 6 inches, width of 8 inches, and the length of 4 inches
Answer:
Using the formula, we can find that the surface area is 208 in².
Step-by-step explanation:
To find the surface area (SA) for a rectangular prism, substitute its dimensions into the formula and solve.
DimensionsDimensions mean the side lengths of the shape, the height, width and length. We know the dimensions from the question.
Height: h = 6 in
Width: w = 8 in
Length: l = 4 in
FormulaWe will need the formula to find the surface area for rectangular prisms. Note that different shapes have a different formula for finding surface area.
[tex]SA= 2(lw + lh + hw)[/tex]
Substitute the dimensions h = 6in, w = 8in and l = 4in into the formula.
[tex]SA= 2((4\ in)(8\ in) + (4\ in)(6\ in) + (6\ in)(8\ in))[/tex]
Remember order of operations (BEDMAS) when solving. Multiply within the brackets first.
[tex]SA= 2(32\ in^{2} + 24\ in^{2} + 48\ in^{2})[/tex] Add within the brackets.
[tex]SA= 2(104\ in^{2})[/tex] Multiply.
[tex]SA= 208\ in^{2}[/tex] Final answer
Tip: The final answer for area will always have squared units.
∴ The surface area (SA) of the rectangular prism with a height of 6 inches, width of 8 inches, and length of 4 inches is 208 squared inches.
A cylinder has a base of 8 feet and a height of 29 ft what is its volume in cubic feet
Answer:
1457.7 cubic ft
Step-by-step explanation:
Volume of a cylinder= πr²h
where, r = radius = 8/2 = 4 ft
h = 29
Volume= π × 4² × 29 = 1457.7 cubic ft
[tex]\rule{300}{1}[/tex]
[tex]\diamond\large\blue\textsf{\textbf{Given question:-}}}[/tex]
A cylinder has a base of 8 feet and a height of 29 ft. What is its volume
in cubic feet (ft³)?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
We are asked to find the volume of a cylinder, which can be found using the following formula:-
[tex]\hookrightarrow\boxed{\bold{V=\pi r^2h}}[/tex]
Where:-
V=volumer=radiush=heightProvided Information:-
r=4 ft (base = 8ft, divided by 2=4ft)h=29 ftSolving for Volume:-
Substitute 4 in lieu of r and 29 in lieu of h:-✳︎ [tex]\sf{V=\pi (4)^2(29)}[/tex]
On simplification,
✳︎ [tex]\sf{V=\pi (16)(29)}[/tex]
On further simplification,
✳︎ [tex]\sf{V=464\pi }[/tex]
Final step:-
✳︎ [tex]\sf{V\approx1,457.7\:ft^3}[/tex]
So we conclude that the volume of the given cylinder is
[tex]\ast[/tex] [tex]\sf{V\approx{1,457.7\:ft^3}}}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
the mean of normally distributed test scores is 80 and the standard division is 5. If there are 186 test scores in the data sample, how many of them were in the 75 to 80 range?
Answer:
63
Step-by-step explanation:
score 75 is one standard dev below the mean ====>to the mean encompasses approx 34% of scores
.34 * 186 = 63
PLEASE HELP 5 POINT ASSIGNMENT (LEASE TO GREATEST PROBLEM)
Order, 1/2, 5/6, 2/3, and 3/5 from least to greatest
Answer:
1/2 < 3/5 < 2/3 < 5/6
Step-by-step explanation:
Using the given inputs:
1/2 5/6 2/3 3/5
The least common denominator (LCD) is: 30.
Rewriting as equivalent fractions with the LCD:
1/2 5/6 2/3 3/5
15/30 25/30 20/30 18/30
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
1/2 3/5 2/3 5/6
15/30 < 18/30 < 20/30 < 25/30
Therefore, the sorted inputs in order from least to greatest is:
1/2 < 3/5 < 2/3 < 5/6
Use the function f(x) to answer the questions:
f(x) = 2x2 − x − 10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Answer:
Part A: (2x−5)(x+2)
Part B: (5/2,0) and (-2,0)
Part C: The graph of f(x) has both "ends" of the graph pointing upward. You can describe this as heading toward infinity.
Part D: To graph function we can use x-intercepts and "ends" to sketch.In order to graph better use one more point of parabola that you can find as the average of x-intercepts: (-2+5/2)/2 =1/4.This is just x coordinate and you need to plug in 1/4 in the f(x) and find y coordinate -10 1/8. You can use y-intercept (0,-10) as well to graph.
Step-by-step explanation:
2x^2-3x-5=y
(2x-5)(x+1)=y
(2x-5)(x+1)=0
2x-5=0
2x=5
x=2.5
x+1=0
x=-1
you have an even degree (2) and a positive coefficient (2)
therefore as x---> -∞, f(x)----> +∞
also, as x----> +∞, f(x)----> +∞
also notice that this is a parabola that opens upwards so both "ends" approach positive infinity
plot the x-intercepts, find the vertex using h=-b/2a and substituting this value into the equation to find k and make a table of values to graph the parabola unless you only want a rough sketch of the graph-you know the x-intercepts and you found the vertex using h=-b/2a
Step-by-step explanation:
Answer: hes right
Step-by-step explanation: i took the test
USING TWO-WAY TABLES Use the two-way table (from Exercise
17) to answer the questions. Round to the nearest percent, if
necessary.
What percent of students prefer aerobic exercise?
What percent of students are male who prefer Anaerobic exercise?
What percent of students prefer aerobic excersize: 53%
88+69 /350= 0.5257 x 100
52.57 round up 53
53%
so i am just gonna technically give u all points for these questions
Answer:
It should move three places to the left :3
Step-by-step explanation:
A circle is centered at R(2, 4). The point L(0,8) is on the circle.
Where does the point Q(6, 7) lie?
well, since we know the point L is on the circle, that means that the segment RL is really the length of the radius of that circle, hmmm let's see what that might be
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ R(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad L(\stackrel{x_2}{0}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ RL=\sqrt{[0 - 2]^2 + [8 - 4]^2}\implies RL=\sqrt{(-2)^2+4^2}\implies \boxed{RL=\sqrt{20}}[/tex]
since RL is its radius, anything larger than that is outside the circle, and anything smaller than that is inside it. Let's check for the distance RQ.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ R(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad Q(\stackrel{x_2}{6}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ RQ=\sqrt{[6 - 2]^2 + [7 - 4]^2}\implies RQ=\sqrt{4^2+3^2}\implies RQ=\sqrt{25}[/tex]
needless to say RQ is larger than RL.
Which is the x-intercept of the graph of the equation y=3x−9?
WILL GIVE BRAINLIEST!!!!
Which of the following is an example of an exponential function?
f(x) = 4x^3 + 2x^2 – 3x + 9
g(x) = log2(x)^3
h of x equals the quantity x squared plus 2x minus 7 end quantity divided by the quantity x plus 1
p(x) = 500(1.02)^x
Exponential functions are known to increase geometrically. An example of exponential function is p(x) = 500(1.02)^x
Exponential functionsExponential functions are known to increase geometrically. The standard exponential function is given as:
y = ab^x
a is the base
x is the exponent
From the given options, the function written in this form is
p(x) = 500(1.02)^x. Hence an example of exponential function is
p(x) = 500(1.02)^x
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what are these least to grates
1. 3.5
2. 3.715
3. 3.17
4. 3.571
5. 3.75
What is the answer to 8:4(5+2)=?
Answer:
8:28
Step-by-step explanation:
4(5+2)
4(7)
28
Please give brainliest!
Hope this helps :)
the answer to the expression 8:4(5+2) is approximately 0.2857.
To solve the expression 8:4(5+2), we follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First, we simplify the expression inside the parentheses: 5 + 2 = 7.
Next, we perform the multiplication: 4 * 7 = 28.
Finally, we perform the division: 8 ÷ 28 = 0.2857 (rounded to four decimal places).
So, the answer to the expression 8:4(5+2) is approximately 0.2857. Remember that it's crucial to follow the order of operations to arrive at the correct result in mathematical expressions.
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which congruent theorem would prove these triangles congruent ??
Answer:
It's AAS congruent theorem.
Answer:
[tex]\huge\boxed{\sf AAS\ postulate}[/tex]
Step-by-step explanation:
The two triangles have:
2 angles congruent (already marked)a side that is common in both triangles.So, 2 angles and 1 side congruency makes it AAS postulate (Angle-Angle-Side).
[tex]\rule[225]{225}{2}[/tex]
Increase £80 by 15%
helppppp please !!!!
What two numbers multiply to -17 but add to -16?
Answer:
-33
Step-by-step explanation:
-17and den u add &16 together soon u have to additional into get -33
Need help finding the area of the shaded region
Check the picture below, the assumption being that the 6ft line is perpendicular to the 18ft line and thus making a right-triangle.
now, if we just get the whole area of the containing parallelogram and then get the area of the triangle and subtract it from that of the parallelogram's, what's leftover is the area we didn't subtract, the shadead area.
[tex]\stackrel{ \textit{\LARGE Areas}}{\stackrel{parallelogram}{(18)(10)}~~ - ~~\stackrel{triangle}{\cfrac{1}{2}(18)(6)}}\implies 180~~ - ~~54\implies 126[/tex]
Some please help me , also your beautiful and handsome and smart and you matter .
Answer:
∠ 1 = 36° , ∠ 2 = 144°
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles on a straight line and sum to 180° , that is
x + 12 + 6x = 180
7x + 12 = 180 ( subtract 12 from both sides )
7x = 168 ( divide both sides by 7 )
x = 24
Then
∠ 1 = x + 12 = 24 + 12 = 36°
∠ 2 = 6x = 6 × 24 = 144°
help me please
[tex]if \: \sin(x) = \cos(50degree) \: find \: x [/tex]
Answer:
x = 40°
Step-by-step explanation:
using the cofunction identity
cos(90 - x) = sin x , so
90 - x = 50 , then
x = 40
that is sin40° = cos50°
There is a bag with only red marbles
and blue marbles.
The probability of randomly choosing
a blue marble is
7/9
There are 63 marbles in total in the
bag and each is equally likely to be
chosen.
Work out how many red marbles there
must be.
Answer:
14 red marbles.
Step-by-step explanation:
If I am reading this correctly, since the probablitly of choosing a blue marble is 7/9, then 7/9 of the bag must be blue marbles. That amounts to 7/9*63=49 and the bag containing 49 blue marbles. Therefor, 63-49=14 is the number of red marbles in the mag.
There are four people in an elevator that is about to make four stops on four different floors of the building. What is the probability that each person gets off on a different floor
The probability that each person gets off on a different floor is; 3/32
How to find the Probability?
We are told that there are 4 people on the elevator. We are also told that there are four stops on four different floors. Thus;
Total number of ways to get off on the floors = 4 * 4 * 4 * 4 = 256 ways
Now, the number of ways that each person can get off on a different floor is 4! = 24. Thus, the probability that each person gets off on a different floor is;
P(each person gets off on a different floor) = 24/256 = 3/32
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