9514 1404 393
Answer:
437.3 ft
Step-by-step explanation:
The angle of depression can be copied inside the triangle to the angle of elevation (at lower right). Then the side x can be seen to be adjacent to the angle.
The mnemonic SOH CAH TOA reminds you of the relations. Here, we have the hypotenuse and we want the adjacent angle. The relevant relation is ...
Cos = Adjacent/Hypotenuse
cos(29°) = x/(500 ft)
Multiplying by 500 ft gives ...
x = (500 ft)cos(29°)
x ≈ 437.3 ft
_____
Additional comment
You have posted a number of problems that make use of this geometry. They are all solved the same way:
a) identify the desired measure and the given measures
b) using SOH CAH TOA, identify the relation applicable to those measures
c) fill in the given values in the equation
d) solve for the unknown
You may need to make use of what you know about angles and triangles in order to relate given angles to ones you need to use.
Aaron wants to draw the development of a cylinder. Which method of development should he use?
A.
parallel line
B.
approximate
C.
triangulation
D.
radial line
E.
non-curved to non-curved triangulation
Answer:
The correct option is A. Parallel line.
Select the correct answer.
Which level of government relies the most on income tax?
Α.
federal
B.
state
C.
local
Answer:Federal Step-by-step explanation:
Is x greater than, less than, or equal to 110°?
Answer:
x is equal to 110°. ( being vertically opposite angles)
Write an equation of the line that is parallel to y = 1/2x + 3 and passes through the point (2,-4). A) y = 1/2x-4 - 15 B) y = -2x-4 + 15 C) y = -2x-5 D) y = 1/2x - 5
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form
with slope m = \(\frac{1}{2}\)
• Parallel lines have equal slopes , then
y = \(\frac{1}{2}\) x + c ← is the partial equation
to find c substitute (2, - 4 ) into the partial equation
- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )
- 5 = c
y = \(\frac{1}{2}\) x - 5 ← equation of parallel line
A bike race takes place over a 3 mile course. How many feet is it?
a
15280 ft
b
3000 ft
c
15,840 ft
d
15000 ft
Answer:
A
Step-by-step explanation:
Here is ur answer
- BRAINLIEST answerer
round 9991.55314546 to the nearest thousand
Answer:
wrong answer
Step-by-step explanation:
The round-off to the number 9991.55314546 will be 10000.
What is rounding off the number?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.
A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.
The given number is 9991.55314546. The round-off to the number will be:-
9991.55314546 = 10000
The given number is closer to the number 10000 because of that it will be rounded off to 10000.
Therefore, the round-off to the number 9991.55314546 will be 10000.
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tangles)
What is the missing term?
-1
?
-3
5x 25x2 | 15x
5x
+3
Clare had t books. After she bought 8 more books, she had 24 books. Write and solve an equation to find the number of books Clare started with
Answer:
24-8=t
Step-by-step explanation:
I cant really explain much...
but, Hope it helps
plz mark brainiest if it does
In the data set below, what is the mean absolute deviation?
The mean absolute deviation(MAD) of the given data set is 2.6(rounding to nearest tenth).
What is mean absolute deviation?
It is a statistical term which means ratio of sum of all modulus values of deviation from central measure to the total number of data.
Formula is
Mean absolute deviation(MAD) = (Σ Modulus Values of Deviation from Central Measure) / (Total Number of data).
Given data set is { 7, 3, 4, 1, 9}
At first arranging the data in ascending order we get { 1, 3, 4, 7, 9}
For MAD we need mean at first.
Mean=(1+3+4+7+9)/5
Mean= 24/5
Mean = 4.8
Formula for MAD is attached in the file.
Now | (1-4.8), (3-4.8), (4-4.8), (7-4.8), (9-4.8) |
=|(-3.8), (-1.8), (-0.8), 2.2,4.2|
sum of all values (3.8+1.8+0.8+2.2+4.2)= 12.8
12.8/5= 2.56
Hence, the value is 2.6(rounding to nearest tenth)
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use the shell method to find the volume generated by revolving the shaded regions bounded by the curves and lines in exerciss 7-12about the y-axis
The answer is 1) V = \(2\pi\int\limits(2)+ {x} \, dx\); 2) V = \(2\pi \int\limits(1 - 2x) - 2x dx\); 3) V =\(2\pi \int\limits {\sqrt{2} } \, dx\) ; 4) V = \(2\pi\int\limits {\sqrt{(-2/2)(2-2)} \ dx\) .
1) The volume of the shell is then given by the product of the area of its curved surface and its height. The height is equal to 2 - (-2) = 4, and the radius is equal to the minimum of the distances from x = 2 to the two curves, which is x = 2 - () = 2 + . The volume of the solid is then given by the definite integral:
V = \(2\pi\int\limits(2)+ {x} \, dx\) = \(2\pi [(/3) + 2x]\) evaluated from 0 to 1 = (4/3)π.
2) The height of the region is equal to - (2x) = -2x, and the radius is equal to the minimum of the distances from x = 1 to the two curves, which is x = 1 - (2x) = 1 - 2x. The volume of the solid is then given by:
V = \(2\pi \int\limits(1 - 2x) - 2x dx\)=\(2\pi [/5 - 2/3 + /2]\) evaluated from 0 to 1 = (8π/15).
3) The height of the region is equal to (2-x) - = 2-x. The radius is equal to the minimum of the distances from x = 0 to the two curves, which is x = The volume of the solid is then given by:
V =\(2\pi \int\limits {\sqrt{2} } \, dx\) = \(2\pi [(x^4/4)]\) evaluated from 0 to √2 = (π/2).
4) The height of the region is equal to () - (2-) = 2 - 2. The radius is equal to the minimum of the distances from x = 0 to the two curves, which is x = √((2-)/2). The volume of the solid is then given by:
V = \(2\pi\int\limits {\sqrt{(-2/2)(2-2)} \ dx\) = \(4\pi [(2/3)\± (2\sqrt{2} /3)]\)
The complete Question is:
Use the shell method to find the volumes of the solids generated by revolving the regions bounded by the curves and lines in about the
1. y = x, y = -x/2, and x = 2
2. y = 2x, y = x/2, and x = 1
3. y = x/2, y = 2-x, and x = 0
4. y = 2-x/2, y = x/2, and x = 0
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Find the equation of the line.
Use exact numbers.
Answer:
Step-by-step explanation:
In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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Consider r (x) = StartFraction a x Superscript b Baseline + 8 Over c x Superscript d Baseline EndFraction, where a, b, c, and d are positive integers and b < d. What value does r(x) approach as x approachesInfinity?
0
StartFraction a Over c EndFraction
StartFraction b Over d EndFraction
Infinity
The value of r(x) approaches as x approaches Infinity is; 0
How to find the limit of a function?Limit is defined as the value that a function approaches for the given input value.
We have been given a function;
r (x) = Start Fraction a x Superscript b Baseline + 8 Over c x Superscript d Baseline End Fraction
We can rewrite this function as;
r(x) = (axᵇ + 8)/(cx^d)
where a, b, c, and d are positive integers and b < d.
We need to find the value of r(x) approach as x approaches Infinity.
This means, we need to find the value of the limit \(\lim_{x \to \infty} r(x)\)
Now, we find the value of limit for given function;
\(\lim_{x \to \infty} \frac{ax^b + 8 }{cx^d}\)
This simplifies to;
\(\lim_{x \to \infty} \frac{8 }{cx^d}\) (since d > b)
Thus;
\(\lim_{x \to \infty} r(x) = 0\)
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Simplify this expression:2x + 3 – (5 – 6x).
Answer:
8x - 2
Step-by-step explanation:
2x + 3 - (5 - 6x) ← distribute parenthesis by - 1
= 2x + 3 - 5 + 6x ← collect like terms
= (2x + 6x) + (3 - 5)
= 8x + (- 2)
= 8x - 2
Which point on the number line represents the product of 4 and -2.
Answer:
A: -8
Step-by-step explanation:
4 * -2 is -8, and A is on that point.
Answer:
its a I literally just did it
Step-by-step explanation:
please hurry need done asap
Answer:
Third Option!
Step-by-step explanation:
Sorry if i'm wrong :(
Answer:
Third option is the correct answer.
\( 2log_{5}x - 2log_{5}4\)
Step-by-step explanation:
\( log_{5} \bigg( \frac{x}{4} \bigg) ^{2} \\ \\ = 2log_{5} \bigg( \frac{x}{4} \bigg) \\ \\ = 2log_{5}x - 2log_{5}4\)
Find the 66th
term in the following
arithmetic sequence
-92, -85, -78, -71, ...
Answer:
The \(66\)th term is \(363\).
Step-by-step explanation:
To find the \(n\)th term, the formula is \(7n - 99\). Since we want to find the \(66\)th term, we can plug \(n\) for \(66\). So our expression is now \(7 \cdot 66 - 99 =\) \(66\)th term. Solving this we have
\(462 - 99 = 66\text{th term}\\363 = 66\text{th term}\\\). Therefore, the \(66\)th term is \(\boxed{363}\).
Answer:
a₆₆ = 363
Step-by-step explanation:
the nth term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 92 and d = a₂ - a₁ = - 85 - (- 92) = - 85 + 92 = 7 , then
a₆₆ = - 92 + (65 × 7)
= - 92 + 455
= 363
16x2 – 8x = ?
Which expression is the result of factoring
Answer:
8x(2x-1)
Step-by-step explanation:
Geometric sequences
*Each number is 4 less than 3 times the previous numbers*
A. Starting with the number 10, build a sequence of 5 numbers.
B. Starting with the number 1, build a sequence of 5 numbers.
C. Select a different starting number and build a sequence of 5 numbers.
Formula for the term of a geometric sequences has been defined as,
"Each number is 4 less than 3 times the previous numbers"
Therefore, recursive formula will be,
\(T_n=3(T_{n-1})-4\)
Now we will use this formula to build the sequence,
A). If \(T_1=10\),
Then \(T_2=3(10)-4=26\)
\(T_3=3(26)-4=74\)
\(T_4=3(74)-4=218\)
\(T_5=3(218)-4=650\)
Therefore, the sequence will be,
\(10,26,74,218,650\)
B). If \(T_1=1\),
Then \(T_2=3(1)-4=-1\)
\(T_3=3(-1)-4=-7\)
\(T_4=3(-7)-4=-25\)
\(T_5=3(-25)-4=-79\)
Therefore, the sequence will be,
\(1,-1,-7,-25,-79\)
C). If, \(T_1=5\),
Then, \(T_2=3(5)-4=11\)
\(T_3=3(11)-4=29\)
\(T_4=3(29)-4=83\)
\(T_5=3(83)-4=245\)
Therefore, the sequence will be,
\(5,11,29,83,245\)
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HELP PLEASE ... For questions 10 - 11, use the table to answer the questions. It is set up to multiply
two polynomials.
x3
- 2x2
5
3x
8
10. What is the coefficient of the x3-term
of the product?
11. What is the coefficient of the x2-term
of the product?
Answer:
Step-by-step explanation:
10. \(8x^{3} - 6x^{3}\)
\(2x^{3}\)
coeff= 2
11. \(-16x^{2}\)
coeff= -16
1. If a bug can flap its wings at a rate of 92 times in 6 seconds, how many times do they flap their wings in 2.34 minutes? Round to 1 decimal.
Answer:
2152.8
Step-by-step explanation:
First, 2.34 minutes is 140.4 seconds. Next, the bug can flap its wings at a pace of 15.333..... flaps per second. Multiplying this, we get 2152.8
15.3
21. A squirrel is standing on the branch of a tree. The angle of elevation from a point on the ground to the squirrel
is 48°. The ground distance from the point to the tree is 28ft. How high above the ground is the squirrel?
Round your answer to the nearest foot.
48⁰
28 ft
21
Answer:
The height of the squirrel is 31 feet.
Step-by-step explanation:
You need to know your Right Triangle Trigonometry to do this problem.
Rt Triangle trig is all about ratios. Angles and ratios.
In your question, there is a rt triangle. The side measure given, 28 is next to the angle. The math word for "next to" is "adjacent" You know the adjacent side. The squirrel's height is the opposite side. The ratio that puts together adjacent and opposite is tangent.
tan Angle = opposite/adjacent
tan 48° = x/28
multiply both sides by 28
28•tan48° = x
You have to use a calculator that has trig functions. It will have buttons that say "sin", "cos", and "tan"
Enter 28 × tan48° =
It will return 31.0971504152
Your question asks you to round to the nearest whole.
x = 31
The squirrel's height in the tree is 31ft.
Q: If the following series continues the same pattern. What is the next
number in the series 1, 10, 7, 16?
A. 010
B. O13
C. 014
D. 25
Next
Answer:
13
Step-by-step explanation:
1 + 9 = 10
10 - 3 = 7
7 + 9 = 16
16 - 3 = 13
Need help on this please
Answer:
log_5 (2x)
Step-by-step explanation:
see attached for step-by-step
Fill in the blank to make equivalent rational expressions.
2/y^2=_/3y^5
The expression that can complete the blank is 6y^3
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to complete the blanks?The expression is given as
2/y^2=_/3y^5
Replace the blank with x
So, we have
2/y^2 = x/3y^5
Multiply both sides of the equation by 3y^5
So, we have
x = 3y^5 * 2/y^2
Evaluate the products
x = 6y^3
This means that the blank is 6y^3
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Part D
Now use GeoGebra to measure the lengths of segments AB and BC and calculate the area of rectangle ABCD. Do you get the same result that you obtained in part C? Take a screenshot with the lengths of the sides labeled and the area displayed, and paste it below.
Answer:
id ont givea
efijhaoieuvbhzoiubhoewivbawzoufhbealivjhbr
Step-by-step explanation:
idsifui piuh vSeth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?
Convert the following point from polar to Cartesian coordinates. Write the exact answer as an ordered pair. Do not round.e(-3. - ?)2103
Explanation
a coordiante given in polar form is has the structure
\(\begin{gathered} \langle r,\theta\rangle \\ whe\text{re r is the magnitude of the vector} \\ \theta\text{ is the angle with the positive x-axis} \end{gathered}\)now, to convert from polar to Cartesian coordiantes we need to apply the formula
\(\begin{gathered} x-coordinate\text{= r*cos }\theta \\ y-coordinater\text{= r}*\sin\theta \end{gathered}\)Step 1
\((-3,-\frac{2\pi}{3})\)
so,
a)b)let
\(\begin{gathered} r=-3 \\ \theta=\frac{-2\pi}{3} \end{gathered}\)b)Now,replace
\(\begin{gathered} x-coordiante=r*cos\text{ }\theta \\ x-coordiante=-3*cos(\frac{-2\pi}{3})= \\ x-coordiante=-3*-0.5=1.5 \\ x-coordiante=1.5 \end{gathered}\)c) y-coordinate
\(\begin{gathered} y-coordinate=r*sin\theta \\ replace \\ y-continent=-3*\sin(\frac{-2\pi}{3}) \\ y-continent=-3*-\frac{\sqrt{3}}{2} \\ y-continent=\frac{3\sqrt{3}}{2} \end{gathered}\)so, the answer is
\((\frac{3}{2},\frac{3\sqrt{3}}{2})\)I hope this helps you
What is this been In my mind
Answer:
12
Step-by-step explanation:
57-9 = 48
48/4 = 12
ps, charge ur phone :)
What number would you add to the equation below to complete the square?
x2 + 7x = 0
A. 49
B. 7/2
C. 14
D. 49/4