What is the approximate angle made by the stairway with the ground?
Answer: C
Step-by-step explanation:
[tex]\sin x=\frac{13}{18}\\\\x=\sin^{-1} \left(\frac{13}{18} \right) \approx \boxed{46.24^{\circ}}[/tex]
Drag the tiles to the correct boxes to complete the pairs.
Match each expression to its simplified form.
The simplification of each form of expression is;
(6r + 7) + (13 + 7r) = 13r + 20(13 - 3/2r) - (1 - r) = 12 - 1/2r(-8 - r) + (2r - 4) = -12 + r(7r - 3/2) - (2/3 + 6r) = r - 13/6Simplification(6r + 7) + (13 + 7r)
= 6r + 7 + 13 + 7r
= 13r + 20
(13 - 3/2r) - (1 - r)
= 13 - 3/2r - 1 + r
= 12 - 3/2r + r
= 12 -3r+2r/ 2
= 12 - 1/2r
(-8 - r) + (2r - 4)
= -8 - r + 2r - 4
= -12 + r
(7r - 3/2) - (2/3 + 6r)
= 7r - 3/2 - 2/3 - 6r
= r -9-4/6
= r - 13/6
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A building produces a shadow that is 73 feet long when the elevation of the sun is 59°. What is the height of the building to the nearest foot? It may be necessary to draw a picture to work through this problem.
The height of the building to the nearest foot is 121.5 ft.
How to find height of the building?The height of the building can be found using trigonometric ratios.
Therefore,
tan 59° = opposite / adjacent
tan 59°= h / 73
cross multiply
h = 73 tan 59°
h = 73 × 1.66427948235
h = 121.492402212
h = 121.5 ft
Therefore, the height of the building to the nearest foot is 121.5 ft.
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x =x=x, equals
^\circ
∘
Answer: [tex]55^{\circ}[/tex]
Step-by-step explanation:
Angles on a straight line add to [tex]180^{\circ}[/tex].
The Womens' World Record Marathon time has improved by 34.82% from Dale Grieg's (UK) time of 3 hrs 27 mins 45s in 1964 to Paula Radcliffe's (UK) time in 2003. Find Paula Radcliffe's World Record time.
Using proportions, it is found that Paula Radcliffe's World Record time was of 2h 15 min 25s.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In seconds, Dale Grieg's time is of:
3 x 3600 + 27 x 60 + 45 = 12,465s.
The Womens' World Record Marathon time has improved by 34.82%, that is, it was reduced by 34.82%, which means that the time is 65.18% of what it was, hence Paula Radcliffe's time is seconds is given by:
P = 0.6518 x 12465 = 8,125s.
In hours, minutes and seconds, we have that:
8,125s = 2h 15 min 25s.
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(03.01 MC) The length of a rectangle is 5 units and its width is 4 units. What is the approximate length of the diagonal of the rectangle? O 5 units ( 03.01 MC ) The length of a rectangle is 5 units and its width is 4 units . What is the approximate length of the diagonal of the rectangle ?
Answer:
√41, or about 6.4 units
Step-by-step explanation:
[tex] \sqrt{ {5}^{2} + {4}^{2} } = \sqrt{25 + 16} = \sqrt{41} [/tex]
√41 is about 6.4 units
Which side lengths form a right triangle?
Choose all answers that apply:
Answer:
All 3 are right triangles.
Step-by-step explanation:
In a right triangle c^2 = a^2 + b^2 where c is the longest side. ( by Pythagoras).
a) 3^2 = 9, 6^2 = 36 and √27 ^ 2 = 27
36 = 9 + 27
So this is a right triangle.
b)
17^2 = 289, 15^2 = 225 and 8^2 = 64
289 = 225 + 64
Also right triangle.
c) √50 ^ 2 = 50, 5^2 = 25 and 5^2 = 25
So also right triangle.
The table shows populations for 4 countries, rounded to the nearest thousand. Which country's population decreased from 1985 to 2005?
A)Iceland
B)Portugal
C)Peru
D)Hungary
Answer:
D) Hungary
Step-by-step explanation:
You are being asked to compare 4 pairs of numbers. The population will have decreased if the number in the 2005 column is less than the number in the 1985 column.
ComparisonsWhenever you compare numbers, you start with the most-significant digit. If the most-significant digit has a higher place value, the number is larger. If the digits have the same place value, the number with the larger digit is larger. If no determination can be made by these comparisons, then the digits to the immediate right are compared.
27,... > 19,... 2 > 1 in the 10-millions place
10,... > 9,... 1 has a greater place value
29... > 24... comparison shifts to the 10-thousands place: 9 > 4
10,058,... < 10,649,... . . . . the population decreased (0 < 6)
QuestionThe "population decreased" result is found on the last line of the table, identified by the Country name "Hungary."
Hungary's population decreased from 1985 to 2005.
(a) A tank can be filled in 14 hours using 5 taps. If you need to fill it in 10 hours how many taps are needed?
Answer:
3.57 taps
Step-by-step explanation:
14/5 = 10/x hours (divide both sides by 10)
50/14 = x (3.57 taps)
Brainliest, please :)
Answer:
7 taps
Step-by-step explanation:
rate = 1 tank / 5 taps = 14 hr
1 tank = 70 tap-hr
70 tap -hr / x tap = 10 hr
x = 7 taps
i need help ASAP I’ll mark Brainly
Answer:
D : (0 ≤t ≤6)
R : (-2 ≤d ≤0)
Step-by-step explanation:
your domain is your x and your range is your y.
this means that you start by looking at your x axis. in this problem, x goes from 0 to 6, so 0 ≤t ≤6
this is the same for y.
y goes from -2 to 0 (remember that you read the y axis down and up, so you need to have the negative number written first)
so -2 ≤d ≤0
Answer:
(domain: 0 ≤ t ≤ 6)
(range: -2 ≤ d ≤ 0)
Step-by-step explanation:
domain of a function: all possible x-values
range of a function: all possible y-values
here, we know that we can't have negative time (note: time is along the x-axis and is x-variable; it is describing the domain)
(and yes, while time still goes on forever, this graph does not have an arrow on the end of it, meaning that is where we are considering time to stop--and because its an ≤ sign, it wouldn't be infinity)
so, time goes from 0 to 6
(domain: 0 ≤ t ≤ 6)
here, we also know that our submarine won't go above the water level (it's not going to keep floating up into space forever), so the maximum value of our range (depth) is going to be 0
we also won't be going any lower than where the toy starts--which we can see to be -2
so, the depth goes from -2 to 0
(range: -2 ≤ d ≤ 0)
hope this helps!! have a lovely day :)
Identify the postulate if possible
Answer:
Below.
Step-by-step explanation:
It's the Alternate Angle Theorem.
The opposite sides of the quadrilateral are parallel.
Goran is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges $93 and allows unlimited mileage. Company B has an initial fee of $65 and charges an additional "$0.80" for every mile driven. For what mileage will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m.
Answer:
m>35
Step-by-step explanation:
We have to find the least m for 65 + 0.8m > 93.
subtract 93 from each side of the inequality: 0.8m > 28
divide both sides of the inequality by 4: 0.2m > 7
multiply both sides of the inequality by 5 to find m: m>35.
Write the equation of the circle graphed below. (-5,-5)
Answer:
(x+5)² + (y+5)² = 18
Step-by-step explanation:
Since the outline of the circle intersects with the point (-8,2), you can substitute to find the equation of the circle in the form (x-h)² + (y-k)² = r². First the center of the circle is given in the form (h,k). So (-5, -5) → (x – (-5))² + (y – (-5))² = r² → (x + 5)² + (y + 5)² = r².
Then to find r², substitute the given point with x and y.
((-8) + 5)² + ((-2) + 5)² = r²
(-3)² + (3)² = r²
18 = r²
r² = 18.
What times itself gets 2230
There's no "whole" number that gets exactly to 2230 (but the question that you are asking is the square root of 2230 I believe) but the answer would essentially be about 47.22.
Triangle ABC has vertices at A(3,4), B (-2,0), C (5,0). Prove that the area of the triangle formed by the joining midpoints of triangle ABC is 1/4 the area of triangle ABC
We have been able to prove that the area of the triangle formed by the joining midpoints of triangle ABC is 1/4 the area of triangle ABC.
What is the area of the triangle with vertices?Area of triangle joining the points A, B & C is;
A₁ = ¹/₂[tex]\left[\begin{array}{ccc}1&1&1\\3&-2&5\\4&0&0\end{array}\right][/tex]
A₁ = ¹/₂(-1 * -20) + (1 * 8)
A₁ = 14
Thus;
Midpoint of AB is (¹/₂, 2)
Midpoint of BC is (³/₂, 0)
Midpoint of AC is (4, 2)
A₂ = [tex]\frac{1}{2} \left[\begin{array}{ccc}1&1&1\\\frac{1}{2} &\frac{3}{2} &4\\2&0&2\end{array}\right][/tex]
A₂ = ¹/₂(3 - 1(-7) + (1 * -3))
A₂ = ⁷/₂
Since A₁ = 14, we can equally say that;
A₂ = ¹/₄A₁
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What is the sum of the series infinity e n-1 -7(3/8)^n?
Let
[tex]S_N = \displaystyle \sum_{n=1}^N -7 \left(\frac38\right)^n = -7\left(\dfrac38 + \dfrac{3^2}{8^2} + \dfrac{3^3}{8^3} + \cdots + \dfrac{3^N}{8^N}\right)[/tex]
Then
[tex]\dfrac38 S_N = -7\left(\dfrac{3^2}{8^2} + \dfrac{3^3}{8^3} + \dfrac{3^4}{8^4} + \cdots + \dfrac{3^{N+1}}{8^{N+1}}\right)[/tex]
[tex]S_N - \dfrac38 S_N = -7 \left(\dfrac38 - \dfrac{3^{N+1}}{8^{N+1}}\right)[/tex]
[tex]\dfrac58 S_N = -\dfrac{21}8 \left(1 - \left(\dfrac38\right)^N\right)[/tex]
[tex]S_N = -\dfrac{21}5 \left(1 - \left(\dfrac38\right)^N\right)[/tex]
As [tex]N\to\infty[/tex], the exponential term will converge to zero, so the infinite sum converges to
[tex]\displaystyle \sum_{n=1}^\infty -7 \left(\frac38\right)^n = \lim_{n\to\infty} S_N = \boxed{-\dfrac{21}5}[/tex]
Which is equal to K−L ?
K=[1325 7 18] L=[619 10 18]
[76−30]
[−7−630]
[7847570324]
[13251018]
The result of the subtraction of the vectors is: [706 -3 0].
What is the result of a subtraction of vectors?To subtract two vectors, we subtract the corresponding elements.
In this problem, the vectors are given as follows:
K = [1325 7 18].L = [619 10 18].The subtractions of the corresponding elements are:
1325 - 619 = 706.7 - 10 = -3.18 - 18 = 0.Hence the result is:
[706 -3 0].
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Find x . , right triangles
Answer: B. X = [tex]4\sqrt{6}[/tex]
Step-by-step explanation:
sec(45) = hyp/12
12sec(45) = hyp
hyp = 16.9
cot(60) = x/16.9
16.9cot(60) = x
x = 9.7
B. X = [tex]4\sqrt{6}[/tex]
1
in
Which of the following gives a single solution of the inequality Ix+31-230 and shows a graph that can be used to
determine the entire solution set of the inequality?
x=0
--6-5
O x=-1
Mark this and return
54
3
4
t..
1 2 3 4
Save and Exit
Next
Submit
The required range of the x in the inequality [tex]\left|x+3\right|-2\le0[/tex] is [-1, -5]
and the graph is attached below
Inequality, can be define as when the equations contain [≤ , ≥ <, >] is called inequalities.
Simplifying
[tex]\left|x+3\right|-2\le0[/tex]
[tex]|x+3|\leq 2\\-2\geq x+3\leq2 \\-5\geq x \leq-1[/tex]
Thus, the required range of x in inequality [tex]\left|x+3\right|-2\le0[/tex] is [-5, -1].
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Answer: The answer to the question is Answer Choice "B"
where it says x=-1
Step-by-step explanation:
Proof that It's actually correct as you can see it on the screenshot :)
i need help asap
1: Write a function that represents this process:
Take a number, x.
Multiply it by 4.
Subtract 2 from the result.
Then find the inverse of this function. Does the inverse represent the reverse of the process above? Explain why or why not.
2:Show why, for linear functions, a vertical translation is equivalent to a horizontal translation. For a linear function, what horizontal translation is equivalent to a vertical translation of 3 units up?
3:Alex says that the function f(x) = (3x)2 represents a vertical stretch of the quadratic parent function by a factor of 3. Marta says that it represents a horizontal compression by a factor of . Decide whether one student is correct, both are correct, or neither is correct.
4:For an unknown parent function f(x), write a function g(x) that is:
vertically stretched by a factor of 2,
shifted up 5 units, and
shifted right 4 units.
Explain how your function accomplishes these transformations.
Original function involved multiplication by 4 and then subtraction of 2.
Inverse function involves addition of 2 and then division by 4.
So the inverse represents the reverse of the given process.
What is function?
A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
According to the function,
Let the function be represented by f(x).
Step 1- Multiplying the number x by 4 results in 4x.
Step 2 - Subtracting 2 from results give 4x - 2.
So the function becomes:
f(x) = 4x - 2
We will find the inverse function by Replacing f(x) by y, and isolate x on one side of the equation and find the inverse:
[tex]y=4x-2\\\\ < br/ > y+2=4x\\ < br/ > x =\frac{1}{4} (y+2)\\ < br/ > f^-^1(y) = \frac{1}{4} (y+2)\\ < br/ > f^-^1(x) = \frac{1}{4} (x+2)[/tex]
Here,
The inverse function represents the reverse process.
Here, Original function involved multiplication by 4 and then subtraction of 2.
Inverse function involves addition of 2 and then division by 4.
So the inverse represents the reverse of the given process.
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What is the L.C.M of 4,10
Answer:
The LCM is 20
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
What is the LCM of 4, 10
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
The lcm stands for the least common multiple.
Using our times tables, let's find the lcm of 4 and 10.
[tex]\bf{Which\;is\;20}[/tex]. 40 is indeed a common multiple of 4 and 10, but it's not the least common multiple. The lcm is 20.
We can also list some multiples of 4 and 10 and find the lcm.
4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40...
10: 10, 20, 30, 40, 50, 60...
As you can see, we end up with the same answer: the lcm of 4 and 10 is indeed 20.
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=Lcm=20}[/tex]
[tex]\LARGE\boxed{\bf{aesthetic \not1 \theta l}}[/tex]
show if √5×√5×√8 is rational or irrational numbers
Answer:
Irrational number
Step-by-step explanation:
Rational and irrational number:Prime factorize the number and then simplify.
[tex]\sf \sqrt{5}*\sqrt{5}*\sqrt{8}=\sqrt{5*5*8}[/tex]
[tex]\sf = \sqrt{5*5*2*2*2}\\\ = 5* 2* \sqrt{2}\\\\= 10\sqrt{2}[/tex]is an irrational number.
Solve for X
1. 6(8 x + 6) + - 1
2. 9x/7 + 6 = 6
3. 2x/11 (11 - 7) = 6
4.11x/4 (4 - 2) = 9x + 10
The value of x is
1. x= -37/48
2. x=0
3. x = 33/4
4. x= -20/7
What is equation?A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
1. 6(8 x + 6) + = - 1
48x + 36 = -1
x= -37/48
2. 9x/7 + 6 = 6
9x/7= 6-6
9x/7 =0
x= 0*7/9
x= 0
3. 2x/11 (11 - 7) = 6
x * 4= 6*11/2
4x= 33
x = 33/4
4. 11x/4 (4 - 2) = 9x + 10
11x/4 * 2 = 9x +10
11/2*x = 9x +10
-7/2x = 10
x= -20/7
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please help me im in a rush
Answer: 69m^2
Step-by-step explanation:
we can find the area of shaded region by subtracting the area of removed region.
so,
area of rectangle= length*width
for area of removed region
=4m*2m=8m^2
for area of larger region
=11m*7m=77m^2
Now final destinaltion
area of shaded region=area of lareger region-area of smaller region
=77m^2-8m^2
=69m^2
The first digit of a 2-digit number is randomly selected from the set {1, 2}. The second digit is
randomly selected from the set {1, 2, 3, 4}. What is the probability that the 2-digit number is
prime?
The probability that the 2-digit number is prime is 3/8
How to determine the probability?The sets are given as:
First digit = {1, 2}.
Second digit = {1, 2, 3, 4}
When the 2-digit is formed, we have:
Numbers = {11, 12, 13, 14, 21, 22, 23, 24}
In the above set, there are 3 prime numbers out of the 8 numbers.
Hence, the probability that the 2-digit number is prime is 3/8
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A 26-feet board is cut into 3 lengths where the first length is x, the second piece is 3 feet less than twice the first and the third piece is 2 feet more than the second. Find the length of the shortest piece.
We now have three equations, so we can solve them.
Let's define the length of the 3 boards in terms of x:
F=x
S=2x-3
T=2
F+S+T =26
x+2x-3+2 =26
3x =26+1=27
x =27/3 = 9 feet for First section
2x-3 =18-3 = 16 feet = Second
2 = Third
9+16+2 = 27
27 is the length of the shortest piece.
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1. Which of the following is a polynomial written in standard form? Explain.
x² + 3x - 1
X
5-7x+4x²
3x³ 2x² + 5x-8
2√x +3
Lucy writes down her phone number by breaking it down into the format (949) 205-6630 instead of as a continuous 10-digit string (9492056630). What strategy is Lucy employing to recall her phone number
The strategy that Lucy uses to recall her phone number is what is known as Chunking.
What is Memory?This refers to the place where information is stored for future use and can either be a short or long-term memory.
Hence, we can see that based on the breaking down of her phone numbers of Lucy into a particular format that separates them using country/state code, she is making use of chunking.
This method of chunking is effective because it would help Lucy to recall her number quite easily.
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x =x=x, equals
^\circ
∘
degrees
Answer:
Actually this question is easy. Mutual angles are equal to each other. Then 152-90=62
solve for m and n. Due tommorow
Angles around a point equal 360°, so n = 360 - 291 = 69°
Thus, as angles in a triangle add to 180°, m = 180 - 31 - 69 = 80°