Answers
Answer:
#3
20tan(53) + 5 feet OR 31.54 feet (rounded to nearest hundredth)
#4
6tan(32) feet OR 3.75 km (rounded to nearest hundredth)
Step-by-step explanation:
#3
The horizontal line is at Chloe's eye level, which is 5 feet.
She looks up at an angle of 53 degrees, and is 20 feet away from the statue. This creates a right triangle that you can use basic trigonometry to solve.
Let's call the shorter leg (upper half of statue) as x and the longer leg (distance between Chloe and statue) is 20 feet. We are given the opposite and adjacent sides (from the given angle) so we can use tan.
tan = opp/adj, so tan(53)=x/20
If you plug 20 tan 53 into your calculator to find x, you get 26.54089643
But you have to add 5 feet to your answer because that is her eye level.
#4
The horizontal distance from airplane to raft is 6km, the angle of depression is 32 degrees from the airplane, and we are asked to find the altitude of the plane (x).
We are given an adjacent side and are tasked to find the opposite side, so we will use tan.
tan 32=x/6
Plug this into your calculator and you get x=3.749216111 km.
Related Questions
The length of a rectangle is 10 feet longer than it is wide. If each side is increased 10 feet, then the area is multiplied by 2. What was the size of the original rectangle?
Answers
Answer:
Size of the original rectangle is 30*20=600
Step-by-step explanation:
Let the length and width of rectangle be x+10 and x. After increasing the dimensions, the new length and width are x+20 and x+10
ATQ, (x+20)(x+10)=2(x+10)(x), x=20.
Tina sends 12 text messages each day in June. A mobile phone company offers two packages. Package A: The first 100 texts each month cost 3 paisa each, the second 100 texts cost 2p each and after this the cost of each text is 1paisa. Package B: All texts cost 2paisa. Which package offers her the better value for money in 30 days? Justify your answer.
Answers
Two options are given to Tina. We find how much she pays for each option, and the one in which she pays less offers the better value.
Tina sends 12 text messages each day in June
June has 30 days, so in June, Tina sent 12*30 = 360 text messages.
Package A:
First 100 messages cost 3p, the next 100 cost $2 and after that each costs $1.
She sends 360 messages, with:
The first 100 costing 3p.
The next 100 costing 2p.
The final 360 - 200 = 160 costing 1p.
She pays:
[tex]100*3 + 100*2 + 160*1 = 660[/tex]
Package B:
2p for each message, 360 messages, so:
360*2p = 720p.
Which package is better?
Package A costs less, thus, it offers her the better value for money in 30 days.
Another example of a problem in which a person has to choose between two packages is given in https://brainly.com/question/10693932
4. Which of the following is an algebra tiles representation of 3x - 2 = -5?
Answers
Answer:
Equation
ans = -1
Step-by-step explanation:
3x-2=-5
3x=-5+2
3x=-3
x=-3/3
x=-1
The average heights of four samples taken from a population of students are shown in the table. Which of these is most likely closest to the average height of the population?
Answers
Using the Central Limit Theorem, the mean height that is most likely closest to the average height of the population is:
B. 57.
What does the Central Limit Theorem state?It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
The interpretation of the equation for the standard error is that larger sample sizes will lead to estimates closer to the actual population parameters.
From the table, the largest sample size in this problem is of 40, and this sample had a mean of 57, hence the mean height that is most likely closest to the average height of the population is:
B. 57.
More can be learned about the Central Limit Theorem at https://brainly.com/question/16695444
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which of the following one is true
Answers
A) 260
B)140
C)148
D)160
Instructions: Find the missing side of the triangle.
12
16
X
х
=
Answers
Answer:
x = 20
Step-by-step explanation:
c^2 = a^2 + b^2
a = 12
b = 16
c = ?
c^2 = 12^2 + 16^2
c^2 = 144 + 256
c^2 = 400
sqrt(c^2) = sqrt(400)
c = 20
Kathryn plants two different types of tomato plant. She records the number of tomatoes that she picks from each plant every day. Her records are shown below:
Plant A: 4, 6, 7, 3, 5, 2, 1, 3, 6, 5
Plant B: 5, 6, 7, 6, 8, 9, 6, 7, 7, 9
Which plant has the more consistent yield of tomatoes?
Answers
Answer:
plant B
Consistent means better so plant be had more better yields
The graph of a line is shown below. What is the equation of the line, in slope-intercept form, that is parallel to this line and has a y-intercept of 1?
Answers
Answer:
[tex]y = - \frac{3}{2} x + 1[/tex]
Step-by-step explanation:
Slope -intercept form: y= mx +c, where m is the slope and c is the y-intercept.
Parallel lines have the same slope. Let's find the slope of the given line.
Given points: (-2, 0) and (0, -3)
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
slope of given line
[tex] = \frac{0 - ( - 3)}{ - 2 - 0} [/tex]
[tex] = \frac{0 + 3}{ - 2} [/tex]
[tex] = - \frac{3}{2} [/tex]
[tex]y = - \frac{3}{2} x + c[/tex]
Given that the y- intercept is 1, c= 1.
[tex]y = - \frac{3}{2} x + 1[/tex]
(2.02 -16.61 : 5.5 ) : 2.5 - 1.6 =
solve this pls
Answers
Answer:
1.0612
I tried using the alogarithm of ratios but am confused please help me
Answer:
-2 Answer
Step-by-step explanation:
SEE IMAGE for Solution
factor 25-4z^2
im having trouble with a question
Answers
Answer:
(5-2z)(5+2z)
Step-by-step explanation:
25 -4z^2
Rewriting
5^2 - (2z)^2
This is the difference of squares a^2 - b^2 = (a-b)(a+b)
(5-2z)(5+2z)
What is the sum of the angles 'a' and 'b' from the diagram below.
Answers
Answer:
90+ 135= 225
Step-by-step explanation:
a can be found with formula (n-2)×180/n, where n is number of sides
a= 135
b=90
Answer problem below
Answers
Answer:
A = 2, B = 1, C = 28Step-by-step explanation:
Find the slope of the line AB.
The slope:
m = (11 - 9)/(11 - 7) = 2/4 = 1/2Since the altitude is perpendicular to AB, it has a slope of -2.
The line with the slope of -2 and passes through point C(6, 16).
Use point-slope equation to find the line:
y - 16 = -2(x - 6)y - 16 = -2x + 12y + 2x = 16 + 122x + y = 28A = 2, B = 1, C = 28
Answer:
Solution given:
A(7,9)
B(11,11)
C(6,16)
Slope of AB=[tex]\frac{11-9}{11-7}=\frac{2}{4}=½[/tex]
since altitude is perpendicular to it .
so its slope becomes negative reciprocal to the slope of base
so
slope of altitude(m) =-2
now
equation of a line passing through C(6,16) perpendicular to its base is:
By using formula
[tex]y-y_{1}=m(x-x_{1})[/tex]
y-16=-2(x-6)
solve it
y-16=-2x+12
y+2x=12+16
in the form of Ax +By=C is:
2x+y=28
:.
A=2B=1
C=28
Please help and show work. 60 points
Answers
Answer:
18.
Domain: X E \{-3,2}
Y-Intercept: 1/2
X-Intercept: 3
19.
Domain: (I think it's none)
Y-Intercept: -2
X-Intercept: 2
20.
Domain: X E R\ {-3,1}
y-INTERCEPT: 2/3
x-INTERCEPT: -1
Step-by-step explanation:
19) In this function, x can equal any value, since the denominator will never equal 0. So it’s continuous.
20) then for this one when you factor, you get 2(x-1)(x+1)/ (x+3)((x-1), so it has a removable at x=1 and a non removable one at x=-3.
What is the equation of the following line? Be sure to scroll down first to see all answer options.
A.
y = 18x
B.
y = 9x
C.
y = -9x
D.
y = - x
E.
y = -18x
F.
y = x
Answers
Answer:
a
Step-by-step explanation:
i took this and got a 100
Answer:
y = 9x
Step-by-step explanation:
other person is so wrong, hope this helps.
Determine what type of transformation is represented. A. translation B. reflection C. none of these D. rotation
Answers
Answer:
D. rotation
uhhhh I need 20 characters so
Rotation is correct because the triangle ABC is rotated about the mid-point of B and B'. Then the correct option is D.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape of the geometry. But flip the image.
Rotation does not change the size and shape of the geometry. But change the orientation of the image.
Translation does not change the size and shape of the geometry. But change the location of the shape.
Check all the options.
Translation is incorrect because orientation of the triangle is changed.
Reflection is incorrect because the line of the reflection is not possible for the triangles.
Rotation is correct because the triangle ABC is rotated about the mid-point of B and B'.
Then the correct option is D.
More about the transformation of geometry link is given below.
https://brainly.com/question/22532832
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how long will the sum of Rs 5,000 take to reach the amount RS 8750 at the rate of 15% per annum
Answers
Answer:
It will take 5 yrs the sum of 5000 will take to reach Rs 8750 at the rate 15%
Step-by-step explanation:
T= ?
Amount = Rs 8750
R = 15%
P = Rs 5000
so
I = A-P
= 8750 - 5000
= Rs 3750
so
I = PTR/100
3750 = (5000*15*T)/100
or, 375000 = 75000*T
or, T = 375000/75000
so T = 5 yrs
What is the distance between (-5, 3) and (7, 3)? Explain using absolute values.
Answers
Use pythagoras theorem
d = √((x₁ - x₂)² + (y₁ - y₂)²)
d = √((-5 - 7)² + (3 - 3)²)
d = √((-12)² + 0)
d = √144
d = 12
Answer:
Step-by-step explanation:
distance is √((x2-x1)^2+(y2-y1)^2)
so it will be √((12)^2+(0)^2)
or simply 12. since we are calculating distance, it is always going to be positive so technecally the formula is |√((x2-x1)^2+(y2-y1)^2)|
find the missing length for the following trapezoid
Answers
Answer:
KL = 18
Step-by-step explanation:
The midsegment TU is half the sum of the parallel bases , that is
[tex]\frac{KL+JM}{2}[/tex] = TU
[tex]\frac{KL+34}{2}[/tex] = 26 ( multiply both sides by 2 )
KL + 34 = 52 ( subtract 34 from both sides )
KL = 18
When using statistics, it is important to __________. Group of answer choices use the mean as an average, as it is more reliable than the median or mode present statistical information in clear, meaningful terms avoid inferential statistics, since they do not represent observable facts use a surplus to make your speech more impressive
Answers
Answer: present statistical information in clear, meaningful terms.
Step-by-step explanation:
When using statistics, the information gathered should be presented in such a way that it is clear and meaningful as this would allow for the data to be tested using various statistical measures.
If data is unclear, the measures used for the test could be negatively impacted such that the results would not represent the most accurate of interpretations.
• What is the smallest distance, in meters, needed for an airplane touching the runway with a velocity of 360 km/h and an acceleration of -10 m/s2 to come to rest? HELP
Answers
Answer:
i think ..................
Step-by-step explanation:
society idsbwj ja
find H.C.F OF 4x²y and xy²
Answers
Answer:
xy
Step-by-step explanation:
The HCF is known as the highest common factor. To find the HCF of two values, we have to take the greatest number that fits into all of their factors.
To start, we can list each value's factors.
For 4x²y, this can also be written as 4*x²*y = 4*x*x*y. In multiplication, we can take the factors of each value that is multiplied. Therefore, we can start with the factors of 4 and then go to the factors of x² and so on. Our factor list is thus 1,2,4,x,x²,y
Similarly, for xy² = x*y*y, our factors are x, y, and y²
The common factors for each of these are x and y. Assuming all values are positive and greater than 1, the x*y will be greater than either x or y. Therefore, the highest common factor would be x*y = xy
find the value of trigonometric ratio
Answers
Answer:
We know that Sin,
[tex]=\frac{perpendicular}{hypotenuse}[/tex]
[tex]SinA=\frac{BC}{AC}[/tex]
[tex]SinA=\frac{9}{41}[/tex]
OAmalOHopeO
Which of the following is equal to the fraction (4/5)^6 A. 6•(4/5)
В.4^6/5^6
С. 4^6/5
D. 24/30
Answers
Answer:
b
Step-by-step explanation:
when raising a fraction to a power both the numerator and denominator has to be raised to that power
Look at the figure. Which step should be taken next to construct a line through point R that is perpendicular to ST ?
Answers
Answer:
where is the figure without figure how to find out
In parallelogram ABCD, what is BDC?
Answers
Answer:
25
Step-by-step explanation:
<ABD=<BDC
Check it out
Answer:
∠ BDC = 25°
Step-by-step explanation:
Since ABCD is a parallelogram , then
AB and DC are parallel , so
∠ BDC = ∠ ABD = 25° ( alternate angles )
16. Sandra is choosing an Internet service provider.
• Smart Dot Company costs $12 per month plus $0.50 for each hour of Internet used.
• Communication Plus costs $2.50 for every hour of Internet used.
a. Create an equation to represent the cost of using the internet with each company. (2 marks) Let C represent the cost of using internet in any month.
Let t represent the number of hours used.
Answers
Answer: See explanation
Step-by-step explanation:
Since Smart Dot Company costs $12 per month plus $0.50 for each hour of Internet used, the equation to represent the cost of using the internet with them will be:
C = 12 + 0.5t
Since Communication Plus costs $2.50 for every hour of Internet used, the equation to represent the cost of using the internet with them will be:
C = 2.5t
150 students
110 studied mathematies
95 studied physics
question 1
-The students took mathematics and physics.
Answers
the students took math and physics = 55
Find the value of x. PLEASE HELP ASAP!
A.4
B. 16
С. 5
D. 12
Answers
Answer: x>12
so i think x is 16.
If you have nine over 1 cups of jelly worms in a recipe that calls for one over 2 cups of jelly worms how many batches of the recipe can you make
Answers
Answer:
13
Step-by-step explanation:
what expression represents 19 more than 6 times a number, n
1. 19n+6
2. 6n-19
3.6n+19
4.19n-6
Answers
Answer:
6n+19
Step-by-step explanation:
6 times a number, n
6n
19 more
6n+19
Answer:
6n + 19
Step-by-step explanation:
Since the expression is 6 times n
We need to have 6 x n or simply just 6n
Since the expression is 19 more than 6n
We need to have 6n + 19
