The height of the home is 20.71 feet and when stand 20 feet away from my home, the angle of elevation from the ground to the top of my home is 46°.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the house, hence:
tan(46) = h/20
h = 20.71 feet
The height of the home is 20.71 feet and when stand 20 feet away from my home, the angle of elevation from the ground to the top of my home is 46°.
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Each of 5 students reported the number of movies they saw in the past year. This is what they reported.
20, 15, 6, 5, 18
Find the mean and median number of movies that the students saw.
If necessary, round your answers to the nearest tenth. Mean: _movies
Median: _movies
Answer:
Step-by-step explanation:
For the mean you add all the numbers up and divide it by how many numbers there are (hence why it's the meanest!)
For the median you need to arrange the number in order of value/size and fine the middle number
A group of friends go on a 3-hr bike ride together. They ride 15 km with the wind at their backs
and then 15 km straight into the wind. The wind adds or subtracts 3 km/hr from their speed.
Calculate the average speed of the group of friends with no wind.
Step-by-step explanation:
7km/hr and 13km/hr
Because in this case we divide the total time taken will be 10km/hr but according to the question we have to subtract 3km/hr and also have to add 3km/hr. There for there for there average speed of friends with wind was 7km/hr and friends without wind will be 13km/hr.
Answer:
10.8 km/h to the nearest tenth.
Step-by-step explanation:
Let x be the average with no wind.
Speed = distance / time
With the wind:
x + 3 = 15 / t A where t = time in hours for the first half of journey
Against the wind:
x - 3 = 15/(3 - t) B
Subtract A - B:
6 = 15/t - 15(3 - t)
6t(3 - t) = 15(3 - t) - 15t
18t - 6t^2 = 45 - 30t
6t^2 - 48t + 45 = 0
2t^2 - 16t + 15 = 0
t = - 1.085
So average speed (from equation B)
x = 15/ (3 - 1.085) + 3
= 10.8 km/h to the nearest tenth.
Two tickets to the movies cost $16. If two drinks add $4.56 to the total, how much change should be received from $25?
Answer:
total cost =$ 16 +$ 4.56=$ 20.56
change received = $25 - $ 20.56 = $4.44 .
Step-by-step explanation:
therefore your answer is 4,44 hope this helps
Out of 36 students in history class, three-fourths have signed up a trip to Europe? If there are 28 places available, will there be enough room?
Can someone explain how to do this plez I NEED HELP
Answer:
42
Step-by-step explanation:
well , here we can find the unknown variable which is X
127 = 3X+2 ( vertically opposite angles are equal)
127 = 3X+2
3x+2= 127
collecting like terms
3x = 127-2
3x = 125
dividing bothsides by 3
3x/3 = 125/3
x = 41.66
x = 42 (approximately)
Find the volume of the rectangular prism.
8 cm
10 cm
2 cm
10 cm
OA. 160.5 cm³
B. 182.4 cm³
Oc. 181.4 cm³
D. 160 cm³
2 cm
Answer:
volume= lxbxh= 10*8*2= 160 cm3
HELP IMMEDIATELY, ASAP, INSTANTLY, `NOW!!! THANKS
Which type of graph is often the LEAST accurate? A) a pie chart B) a pictograph C) a bar graph D) a line graph
Answer:
Pictograph is the least accurate!
Step-by-step explanation:
Because pictographs have specific pictures and you need to divide it specifically whereas other graphs, you can just graph your information and it'll be accurate.
Isosceles and equilateral triangles
Solve for X
Answer:
11
Step-by-step explanation:
48 = 4x + 4 two of its angles are equal in measurement
- 4 - 4
44 = 4x
---- ----
4 4
11 = x
1\2(x-12)=4 what is this
Answer:
1/2x=10
x=20
Step-by-step explanation:
x=5 because 1/2x-6=4
Move the other side and divide 1/2 by 10. dividing by 1/2 is the same as multiplying by 2 so the answer is 20
Answer:
x = 20
Step-by-step explanation:
[tex]\sf \dfrac{1}{2}*(x-12)=4\\\\Multipy \ the \ entire \ equation \ by 2\\\\ 2*\dfrac{1}{2}(x - 12) =2*4\\\\[/tex]
x - 12 = 8
Add 12 to both sides,
x = 8 + 12
[tex]\sf \boxed{x = 20}[/tex]
22x22 is a op question but what is 42x42
Answer:
The to 42 x 42 is 1764
Step-by-step explanation:
22 x 22 = 484
What number is 110% of 17?
Answer:
18.7
Step-by-step explanation:
110 % = 1.1
17 x 1.1 = 18.7
ALSO:
percentages are reversible which means that you can also do 17% of 110 which makes it seem more normal.
17% of 110 is also 18.7
Answer: Heyaa! ^
18.7 is 110% of 17 ~ Making your answer be 18.7
Step-by-step explanation:
Evaulte the problem..
Hopefully this helps you! ~
answer these questions:
Q- What score represents the mean?
Q-What percent of the scores were between 81 and 87?
Will give brainliest!!
3. What is the median of this data set
Answer:
53.5
Step-by-step explanation:
First, set the numbers out as a data set:
{51 , 51 , 52 , 53 , 54 , 54 , 54 , 55}
The median is the number that is found in the middle of the set. In this case, there are 8 numbers, and the middle numbers are 53 & 54. Find the mean of the numbers:
(53 + 54)/2 = (107)/2 = 53.5
53.5 is your answer.
~
y= 2x-1 5x-4y=1 is (1, 1) a solution of the system?
Answer:
equate the two euations
y = 2x - 1 multiply by 4
4y = 8x - 4 equate with the second equation
5x - 4y = 1
5x = 8x - 4 + 1
8x - 5x = 3
3x = 3
x = 1
substitute for x in any of the two equations
y = 2x - 1
y = 2(1) - 1
y = 2 - 1
y = 1
Therefore, according the solution we have got.
Yes, (1,1) is a solution to the system.
What is the perimeter of the following composite figure?
Answer:
I think it is 15. if I am wrong sorry, but if I am right mark brainliest!!
If there were 20 gallons of water left in the fish tank after the water
leaked out, how many gallons of water does the fish tank hold when
it is full
Answer:
Hope this helps. Credit to the other user.
Step-by-step explanation:
please help will mark Brainliest!!
Answer:
Option D, [tex]16\ units[/tex]
Step-by-step explanation:
Step 1: Determine the perimeter
[tex]P = 2(l + w)[/tex]
[tex]P = 2(5\ units + 3\ units)[/tex]
[tex]P = 2(8\ units)[/tex]
[tex]P = 16\ units[/tex]
Answer: Option D, [tex]16\ units[/tex]
For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation:
y = negative 2 x squared + 4
Table A
a
b
c
up or down
y-intercept
-2
0
4
down
(0,-2)
Table B
a
b
c
up or down
y-intercept
4
0
-2
down
(0,4)
Table C
a
b
c
up or down
y-intercept
-4
0
-2
down
(0,-2)
Table D
a
b
c
up or down
y-intercept
-2
0
4
down
(0,4)
a.
Table A
c.
Table C
b.
Table B
d.
Table D
The table that correctly describes the given quadratic equation is table D.
Which table correctly describes the quadratic equation?A general quadratic equation is written as:
[tex]y = a*x^2 + b*x + c[/tex]
The y-intercept is the point (0, c), and the sign of the coefficient a determines if it opens up or down.
If a > 0, then it opens up.If a < 0, then it opens down.In this case, the quadratic equation is:
[tex]y = -2x^2 + 4[/tex]
Then we have:
a = -2b = 0c = 4.The y-intercept is (0, 4), and because a is negative, the parabola opens down.
Then the correct table is table D.
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please help with each step to solve.
Answer:
Answer is in attached picture
Step-by-step explanation:
There are no real solutions for the value of 'x'. The two solutions are complex. The fully simplifed answers would be:
x = 4 + 5i*sqrt(7)
x = 4 - 5i*sqrt(7)
What is the area of this composite figure?
Answer:
36.56
Step-by-step explanation:
the area of a circle is r^2×pi (here 2^2×pi) then add the area of the middle rectangle (so 4×6)
For questions 1-2, use the Reciprocal and Quotient Identities to find each value.
By using the reciprocal identity the value [tex]Sin \theta[/tex] will be [tex]\dfrac{5}{27}{[/tex]
What is Reciprocal and Quotient Identities?In trigonometry, quotient identities refer to trig identities that are divided by each other.
So here we have
[tex]Cosec\theta = \dfrac{27}{5}[/tex]
Now we have to find the reciprocal identity,
[tex]Sin\theta=\dfrac{1}{Cosec\theta}[/tex]
[tex]Sin\theta}=\dfrac{1}{\dfrac{27} { 5} }[/tex]
[tex]Sin\theta=\dfrac{5}{27}[/tex]
hence by using the reciprocal identity the value [tex]Sin \theta[/tex] will be [tex]\dfrac{5}{27}{[/tex]
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Select the correct statement in the table.
Given that r and s are both irrational numbers, determine which statement is true.
The values of r + s and r · s are sometimes irrational.
The value of r + s is sometimes irrational, and the value of r · s is never irrational.
The values of r + s and r · s are never irrational.
The value of r + s is always irrational, and the value of r · s is sometimes irrational.
The value of r + s is always irrational, and the value of r · s is never irrational.
The values of r + s and r · s are always irrational.
The value of r + s is never irrational, and the value of r · s is always irrational.
The value of r + s is sometimes irrational, and the value of r · s is always irrational.
Answer:
Below.
Step-by-step explanation:
The value of r + x is always irrational.
The value of r. s is sometimes irrational:
- for example √2 * √3 = √6 which is irrational,
but √3 * √3 = √9 = 3 which is rational.
Write .0043 as a percentage
Answer:
0.43%
Step-by-step explanation:
In order to change a decimal to a percentage, you multiply it by 100. You can also move the decimal point to the right two times. By doing so, you get 0.43%. Someone tell me if I did it wrong please.
Explain how to derive a formula for sin(A - B + C)
[tex]\textit{Sum and Difference Identities} \\\\ sin(\alpha - \beta)=sin(\alpha)cos(\beta)- cos(\alpha)sin(\beta) \\\\ cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(A-B+C)\implies sin[~(\stackrel{Z}{A-B})~+C]\implies sin(Z+C) \\\\\\ sin(Z)cos(C)+cos(Z)sin(C)\implies sin(A-B)cos(C)+cos(A-B)sin(C) \\\\[-0.35em] ~\dotfill\\\\ \textit{and since we know that}\\\\ sin(A-B)\implies sin(A)cos(B)-cos(A)sin(B)[/tex]
[tex]cos(A-B)\implies cos(A)cos(B)+sin(A)sin(B)\\\\ then \\\\[-0.35em] ~\dotfill\\\\\ [sin(A)cos(B)-cos(A)sin(B)]cos(C)+[cos(A)cos(B)+sin(A)sin(B)]sin(C) \\\\\\ ~\hfill \begin{array}{cllll} sin(A)cos(B)cos(C)-cos(A)sin(B)cos(C)\\\\ +\\\\ cos(A)cos(B)sin(C)+sin(A)sin(B)sin(C) \end{array}~\hfill[/tex]
Together, teammates Pedro and Ricky got 2682 base hits last season. Pedro had 280 more hits than
Ricky. How many hits did each player have?
Answer:
Ricky had 1201 hits and
Pedro hade 1481 hits
Step-by-step explanation:
Let Ricky be 'y'.
Since, Pedro hit 280 mroe than Ricky.
Pedro is 'y+ 280'
Thus,
y + y+ 280 = 2682
2y = 2402
y = 1201
Ricky had 1201 hits and
Pedro hade 1201 + 280 = 1481 hits
Answer:
See below ~
Step-by-step explanation:
Let :
Hits by Ricky = xHits by Pedro = x + 280Solving :
Mentions the sum is 2682x + x + 280 = 26822x = 2402x = 1201Solution :
Hits by Ricky = x = 1201 hitsHits by Pedro = x + 280 = 1201 + 280 = 1481 hitsWhat is the probability that a subject selected at random from the above survey is a man or agrees with the survey statement?
a) 2/3
b) 21/50
c) 18/25
d) 7/40
Answer:
c) 18/25
Step-by-step explanation:
The total of all votes is 1000.
The total of all 'agree' votes is 420.
Since it is either agrees or is a man, we can add the 300 disagree male votes to 420, making 720 / 1000.
From there we simplify 720 / 1000 -> 18 / 25
Let g(x)= - |x+2|+2 What is the parent function of g(x)?
Here's the link to the answer:
https://riverside.rocks/index.php
plot points for the function f(x)=x^+2x
The equation f(x)=x² + 2x is a quadratic equation, and it passes through the points (0,0) and (1,3)
How to plot the points for the equation?The equation is given as:
f(x)=x² + 2x
Set x = 0
f(0)= 0² + 2(0) = 0
Set x = 1
f(1)= 1² + 2(1) = 3
The above means that the equation f(x)=x² + 2x passes through the points (0,0) and (1,3)
See attachment for the graph of f(x)=x² + 2x
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What is the length of the line?
Answer:
the length of the line is 7
Step-by-step explanation:
it is b. 7
Please answer for me, image below. Thanks!
Answer: ya were right its 135
Step-by-step explanation:
we kno that QRS is 180 degrees.
so to get QRT we subtract 45 from 180.
180 - 45
135
ya were right
Answer:
135
Step-by-step explanation:
QRT and TRS add to 180
180-45=135