The height of the tree is 61.92 feet.
What are trigonometric identities?Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate a triangle's side length and angle.
Given that,
Distance of Tamara from tree = 30 feet.
Angle of elevation = 62°.
And the height of Tamara from the ground = 5.5 feet.
To find the height of the tree,
Use trigonometric formula,
tan θ = height / distance
tan 62 = x / 30
1.88 = x / 30
x = 56.42 feet
The total height of tree = x + 5.5 = 56.42 + 5.5 = 61.92 feet
The height of the tree is 61.92 feet.
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In a class of 55 students, 15 students like Math but not English and 18 students liked English but not Math. If 5 students did not like both, how many students liked both subjects? Represent the above information in a Venn-diagram.
40 POINTS
The table shows the distance, y, a greyhound dog can travel (in feet) in x seconds.
Time, x (seconds) Distance, y (feet)
0 0
5 220
10 440
15 660
Based on the information in the table, which equation can be used to represent the relationship between time and the distance a greyhound dog can travel?
The equation that can be used to represent the proportional relationship between time and the distance a greyhound dog can travel is:
y = 44x.
What is a direct proportional relationship?A direct proportional relationship is a function in which the output variable is found with the multiplication of the input variable and the constant of proportionality, as follows:
y = kx.
In which k is the constant of proportionality, also representing the rate between the output and the input for any pair of (input, output) except (0,0).
From the table of distances and time given in this problem, the constant is found as follows:
k = 220/5 = 440/10 = 660/15 = 44.
Hence the constant is of 44 and the relation is given by:
y = 44x.
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A piece of fabric 20m long sew 4/5 of that cloth, the rest of the fabric is sewn for each bag 2/3m, how many bags can be sewn in all?
Answer: 16 bags
Step-by-step explanation:
(20) (4/5) = 16
(16) (3) / 2 = 24
How much is 3,526 grams worth?
Answer: 3526 grams of what?
Step-by-step explanation:
Answer:
7.773 pounds
Step-by-step explanation:
have to divide the mas vauleby 453.6
A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?.
The shortest length of fence that the rancher can use is 6000 ft.
What is meant by length?
The measuring of one thing from finish to finish or on its longest aspect, or a measuring of a selected a part of one thing is known as length.
Main Body:
x = width of rectangle
y = length of rectangle
A = area of rectangle = xy = 1500000 ft^2
L = length of fencing needed = 2(x + y) + x = 3x + 2y
L = 3x + 2(1500000/x) = 3x + 3(10^6)x^(-1)
As x –> 0+, L –> +inf.
As x –> +inf, L –> (3x)+.
Sketch and see that there will be a minimum in Quadrant I.
dL/dx = 3 - 3(10^6)x^(-2)
Extrema occur when dL/dx = 0:
3 - 3(10^6)x^(-2) = 0
(10^6)x^(-2) = 1
x^2 = 10^6
x > 0, so x = 1000 feet for shortest length.
Hence,Shortest L = 3000 + 3(10^6)(10^3)^(-1) = 6000 feet.
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Evaluate yz + x² x=3.2, y=6.1, z=0.2
Answer:
Step-by-step explanation:
To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:
yz + x²
Substituting the given values, we get:
(6.1 * 0.2) + (3.2^2)
This simplifies to:
1.22 + 10.24
Therefore, the value of the expression is approximately 11.46.
11.46
gimme brainlyest gang
heyy
for these answers can i also have an explanation on how to work them out [completely forgot as i haven't done these in ages]
1. 56 kg increased by 15%
2. 436 g increased by 12.5%
3. 43cm decreased by 20%
4. £550 decreased by 8.5%
thanks :)
Answer:
1. 64.4kg
2. 490.5g
3. 34.4cm
4. 503.25
Step-by-step explanation:
1. 56+(56×15/100)
2. 436+(436×12.5/100)
3. 43-(43×20/100)
4. 550-(550×8.5/100)
Plz help help help plz plz plz
Answer:
NO
1,2,3,6
Step-by-step explanation:
THOSE ARE CORRECT
√8=2.8
Answer:
c
Step-by-step explanation:
The picturegram shows information about CDs sold in a shop.
1 . How manny CDs were sold on Wednesday | Key = 3 |
2. How manny more CDs were sold on Thursday than Wednesday?
**If you know the answer let me know!**
Answer:
i believe number 1 is 18 and number 2 is 9.
Step-by-step explanation:
if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.
Can someone help me?
The equation is $9w - $126 = $45
Number of weeks, w = 19
Define the term Savings?Savings refer to the portion of one's income or money that is not spent on current consumption and is instead set aside for future use.
(a) Let w be the number of weeks Abdul had been saving. Then the total amount he saved is given by:
Total savings = Amount saved per week x Number of weeks
Total savings = $9w
Yesterday he spent $126 of the savings, so the amount he has left in savings is:
$45 - $126 = -$81 (Note that the negative value indicates that Abdul has a debt, i.e., he has spent more than he had saved)
Therefore, we can write the following equation to find the number of weeks he had been saving:
$9w - $126 = $45
(b) To solve the equation, we can start by isolating x on one side of the equation:
$9x - $126 = $45
$9x = $45 + $126
$9x = $171
x = $171/$9
x = 19
Therefore, Abdul had been saving for 19 weeks.
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solve the equation 4 x - 6 = 6- 2x
Answer:
x=2
Step-by-step explanation:
4x-6=6-2x
(add 2x and 6 to both sides)
6x=12
(divide by six)
x=2
Double Check:
4(2)-6=2
6-2(2)=2
4(2)-6=6-2(2)
Answer:
x=2
Step-by-step explanation:
4x-6=6-2x
move the variables to right and constants to the left
4x+2x=6+6
combine like terms
6x=12
isolate x by dividing by 6 on both sides to find it's value
x=2
i hope this helps :)
HELP - 100 POINTS AND BRAINLIEST!! Find the area and volume - a square has a side length of 6.25 Please show your work! Thank you!
Step-by-step explanation:
Area: bh
The shape is a square in which the side lengths are the same, so we multiply the number squared.
A = 6.25(6.25)
A = 39.06
Volume: lwh
6.25^3 = V
V = 244.14
Hope this helps:)
Step-by-step explanation:
Area: bh
The shape is a square in which the side lengths are the same, so we multiply the number squared.
A = 6.25(6.25)
A = 39.06
Volume: lwh
6.25^3 = V
V = 244.14
I hope I contributed
A clothing designer is interested in determining if there is a relationship between a person’s age and their preference for a particular style of dress. A survey is written and asks questions including questions about age and dress size. Should these questions be included in the survey?
A. The questions are acceptable because the researcher is studying the relationship between age and preferred dress style.
B. The questions should not be included because people may not want to answer questions about age and dress size.
C. The questions can be included but there should be an option where the participant can choose not to respond to the questions.
D. The questions should not be included because surveys should never ask for personal information.
Therefore , the solution of the given problem of unitary comes out to be
option A is correct option.
An unitary method is what?The task can be finished by combining the data expression obtained to use this nanosection methodology with in all supplemental data from two people who employed a particular variable tactic. In plain English, this indicates that, if the desired result occurs, either the stated individual will be known or, in fact, the colour by both enormous processes would be skipped. A refundable fee of Rupees ($1.01) may be necessary for forty pens.
Here,
Given :
there is a relationship between a person’s age and their preference for a particular style of dress.
So,
The question can be included in the interview
and so,
option A. The questions are acceptable because the researcher is studying the relationship between age and preferred dress style.
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A. The questions are acceptable because the researcher is studying the relationship between age and preferred dress style.
What is probability?
Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence.
conducting a research study, it is important to carefully consider the questions being asked in the survey to ensure that they are relevant to the research question and that they do not cause any harm or offense to the participants. In the case of the clothing designer's survey, asking about age and dress size is relevant to the study's goal of investigating the relationship between age and preferred dress style. Therefore, including these questions in the survey is acceptable.
However, it is also important to consider the potential concerns or discomfort that some participants may have about answering these questions. To address these concerns, the survey questions should be worded in a respectful and non-intrusive manner.
Therefore, A. The questions are acceptable because the researcher is studying the relationship between age and preferred dress style.
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A large tank is filled with water at a rate of 70 cubic feet per hour. If it takes 9 hours to fill the tank, which of the following is closest to the volume, in cubic feet, of the water in the tank?
8
61
79
630
Answer:
630
Step-by-step explanation:
if it takes 1 hour for it to fill up by 70 ft³
then after 9 hours it is full.
9 X 70 = 630 ft³
Graph the solution to this inequality on the number line.
−12≥−4p
Answer:
A closed circle on 3 going right.
Step-by-step explanation:
-12 ≥ -4p
/-4 /-4
3 ≤ p which also mean p ≥ 3
This will be a closed circle on 3 going right.
Hope that helps!
can someone please help with this? real answer only please......ive asked multiple questions today becuz i dont really understand the assignment, please help
write the expression as a single fraction:
please help, giving brainliest :)
Answer:
\(\frac{4a^{2} + 15b}{10ab}\)
Step-by-step explanation:
find the least common denominator for both fractions then combine them to find:
\(\frac{4a^{2} + 15b}{10ab}\)
Find m pls help . my teacher gave us a homework that she hasn’t even taught yet.
Answer:
mAngle B =70°
Step-by-step explanation:
The question says to find the "measure of Angle B"
The triangle there is an isosceles triangle. That means two of the sides are the same size. The angles opposite from those equal sides are also equal.
BA = BC = 40cm
So Angle A = Angle C = 55°
All three angles in a triangle add up to 180°
55 + 55 + B = 180
110 + B = 180
B = 70°
The measure of angle B is 70°
23) Evaluate the expression with its given values.
3x over y; x =4, y= 12
\(\large\text{Hey there!}\)
\(\large\boxed{\mathsf{\dfrac{3x}{y}}}\\\\\\\large\boxed{= \mathsf{\dfrac{3(\bold{4})}{\bf 12}}}\\\\\\\large\boxed{\mathsf{= \dfrac{\bold{12}}{12}}}\\\\\\\large\boxed{\mathsf{= 12\div12}}\\\\\\\large\boxed{\mathsf{= \bf 1}}\\\\\\\large\text{Therefore, your answer is: \huge\boxed{\mathsf{1}}}\huge\checkmark\)
\(\large\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Complete the table to combine like terms when adding Expression One and Two.
Answer:
10y+6
See diagram below
Explanation:
Given expressions One and Two below:
• Expression One: y+10
,• Expression Two: 9y-4
The completed table showing the addition of the expressions is given below:
Therefore:
\(\begin{gathered} y+9y=10y \\ 10-4=6 \\ \implies(y+10)+(9y-4)=10y+6 \end{gathered}\)The sum is 10y+6.
Nico did 78 sit-ups in 2 minutes.
What is the Unit Rate?
sit-ups per minute
At this rate, how many sit-ups can Nico do in 5 minutes?
78 sit ups in 2 minutes
so
= 78 : 2 sits in 1 minute = 39 sits up per minute
x 5 = 195 sit ups in 5 minutes
Answer: 39 situps per time
Step-by-step explanation:
How much interest will Kenny get when he puts $14,500 in a 4-year account compounded continuously (daily) at 3.26%?
Answer: $25,808.55
Step-by-step explanation:
\(x_{4}\)= 14500(e)^4(0.0326)
Answer:
$2,019.52
Step-by-step explanation:
The equation in Question 4 shows a relationship between the length of arc EF in circle AB and the radius of circle AB. So, for a given central angle, what does the length of the arc it intersects depend on?
For a given central angle, the length of the arc it intersects depends on the radius of the circle and the central angle.
What is the Length of an Arc?Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,
Length of an Arc = 2π×R×(θ°/360°)
where
θ is the angle, that which arc creates at the center of the circle in degree.
The measurement of the length of an arc formed by a central angle that intersects the circle at two points is given as,
\(\rm {Length\ of\ the\ arc} = 2\pi \times \text{Radius of the circle}\times \dfrac{\text{(Measurement of central angle)}}{360^o}\)
Now, the length of the arc EF will be,
Arc EF = 2π × (AB) × (θ/360°)
Where θ is the measurement of the central angle.
Hence, For a given central angle, the length of the arc it intersects depends on the radius of the circle and the central angle.
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Answer: Plato/edmentum sample answer
Step-by-step explanation:
For a given central angle, the length of the arc it intersects depends only on the radius of the associated circle.
five hamburgers cost 5.25 at this rate what is the cost of 8 hamburgers
Answer: 8.4
Step-by-step explanation: 5.25 divided by 5 is 1.05. So 1.05 x 8 is 8.4
a standing wave is set up in a pool 24 m long which contains six loops. what is the wavelength? a) 24 m b) 48 m c) 8 m d) 4 m
Two length of the same frequency and amplitude moving in opposite directions combine to form a standing wave, which appears to be stationary. Given that the pool in this instance is 24 m long and has six loops, the wavelength is 4 m.
Wavelength = Length of Pool / Number of Loops
24 m / 6 loops
= 4 m
Wavelength
= 4 m
Two waves of the same frequency and amplitude moving in opposite directions combine to form a standing wave, which appears to be stationary. A stationary wave pattern is produced when the two waves collide and interfere with one another. Six loops make up the 24 m-long pool in this instance. As a result, the standing wave's wavelength is equal to the pool's length divided by the number of loops, or 24 m / 6 = 4 m. This indicates that the standing wave's wavelength is 4 metres. Standing waves can be used to determine a wave's speed because they are equal to wavelength times frequency. Understanding how waves behave in various contexts, such as swimming pools, oceans, or other bodies of water, can be helped by this.
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The geometric mean of a number and nine times the number is 30. What is the number?
What is the difference between the greatest and least amount of juice? Show your work. the numbers are 3 and 1 4/6
Answer:
3 - 1 4/6 = 1 2/6 so that's the difference
Step-by-step explanation:
Answer:
I dont know sorry i'm taking the test two and i'm trying to find the answer too
Step-by-step explanation:
[PLS HELP WILL GIVE BRAINLIEST!!]
Determine the value of x.
Answer:
The value of x is 8.1
Step-by-step explanation:
We can use SOH CAH TOA to find our answer.
In this acronym, O is the opposite side, A is the adjacent side, and H is the hypotenuse. S is for the SIN function. C is for the COS function. T is for the TAN function.
We can calculate the length of the string by using the COS function.
So we can say the tangent of angle \(\beta\) is the opposite side divided by the adjacent side.
\(tan( \beta)=\frac{O}{A}\)
We are given the angle and the opposite side. We are looking for the adjacent side.
Lets solve for \(A\).
Take the reciprocal of both sides.
\(\frac{1}{tan(\beta)} =\frac{A}{O}\)
Multiply both sides by \(O\).
\(\frac{1}{tan(\beta)} *O=A\)
We are given
\(\beta=56\textdegree \\O=12\)
\(\frac{1}{tan(56)} *12=A\)
\(A=8.0941022\)
Write the equation of a line that is parallel to r = = 8 and that passes through the point (-3,-2).
Answer:
With x=8, it means the line is vertical (up and down), it also means it is undefined.
In order to find the parallel line, it has to have the same slope. Different b value (mx+b, but the m has to be the same).
Step-by-step explanation:
What is the length of arc S shown below? In units
Answer:
24 units
Step-by-step explanation:
2πr(X/2π)
2π(8)(3/2π) = 24
Answer:
24cm
Step-by-step explanation:
i got it right on khan