Answer:
239.8 feet to the nearest tenth.
Step-by-step explanation:
We have 2 right triangles one inside the other.
Let the height of the builing be x ft and the distance from foot of thebuiding to the closest point be y feet.
So we have the system:
tan 28.8 = x/(y + 100)
tan 35.5 = x/y
From second equation:
x = tan35.5 y
Sustituting in the first equation:
tan 28.8 = tan35.5 y / (y + 100)
tan35.5 y = tan 28.8 y + 100 tan 28.8
y(tan35.5 - tan28.8) = 100 tan 28.8
y = 100 tan 28.2 / (tan35.5 - tan28.8)
y = 336.16 ft
So x = height of the buiding = tan35.5 * 336.16
= 239.78 ft.
BRAINLIEST FOR HELP!! *i might possibly have answer i want to see if i did it right*a 20 ft flagpole is casting a 8.9 foot shadow, what is the suns angle?
Step-by-step explanation:
the angle of elevation of the sun is θ is related to the given sides of the right triangle (assuming the ground is horizontal and the flag pole is vertical) by tangent.
the shadow is adjacent to the angle while the flagpole is opposite to it.
so to find the angle of elevation:
arctan(20/8.9)
= 66.01 degrees
comment if you have any doubt or need further help.
Angle be alpha
[tex]\\ \rm\Rrightarrow tan\alpha=\dfrac{P}{B}[/tex]
[tex]\\ \rm\Rrightarrow tan\alpha=\dfrac{20}{8.9}[/tex]
[tex]\\ \rm\Rrightarrow tan\alpha=2.25[/tex]
[tex]\\ \rm\Rrightarrow \alpha=tan^{-1}(2.25}[/tex]
[tex]\\ \rm\Rrightarrow \alpha=66.04°[/tex]
please I need to know this answer identify and calculate the perimeter for the quadrilateral
Step-by-step explanation:
but that is really, really simple.
is the problem that you don't know what a perimeter is ?
a perimeter is the whole distance you have to "walk", if you would "go" around the whole object.
that means you would have to go along every side until you reach the starting point again.
therefore, the perimeter is simply the sum of all side lengths.
P = 8.6 + 3.1 + 6.67 + 5.37 = 23.74 yds
the height does not play any role in this (but it would be important to calculate the area).
I don't understand these huge numbers you have there in the " P =" line.
where are they coming from ? in any case they have nothing to do with this quadrilateral.
Which of the following is a person who supports or believes in the philosophy of communism?
A. Communist
B. Nihilist
C. Fascist
Answer:
ITS DEFINITELY AStep-by-step explanation:
Suppose a normal distribution has 50% of its area falling to the left of x=30, and 25% of its area falling to the right of x=38. The mode of the distribution is located at x= _____
What best completes the sentence?
Enter your answer as a decimal rounded to the nearest tenth, like this: 42.5
Answer:
mode: x = 30
Step-by-step explanation:
The mode of a normal distribution is the same as its mean and median. All are located such that half the area is below that value, and half is above.
__
If 50% of the area is left of x=30, the mean, median, and mode are all at x=30.
Sam, Luke and Laura are shopping for sporting equipment
Sam buys 4 tennis balls and 12 golf balls for a total of £19
Luke buys 6 tennis ball and 10 golf balls for a total of £22.50
Laura buys 2 tennis balls and 4 gold balls
By forming two equations and solving them, find how much Laura pays for the 2 tennis balls and 4 golf balls.
Base on the equation, the amount Laura pay for 2 tennis balls and 4 golf balls $8
How to form and solve equations?
Sam buys 4 tennis balls and 12 golf balls for a total of £19.
let
x = price of each tennis ball
y = price of each golf ball
Hence,
4x + 12y = 19
Luke buys 6 tennis ball and 10 golf balls for a total of £22.50. Hence,
6x + 10y = 22.50
Combine the equation
4x + 12y = 19
6x + 10y = 22.50
6x + 18y = 28.5
6x + 10y = 22.50
8y = 6
y = 6 / 8
y = $0.75
6x + 10(0.75) = 22.50
6x + 7.5 = 22.50
6x = 22.50 - 7.5
6x = 15
x = 15 / 6
x = $2.5
The cost when Laura pays for 2 tennis balls and 4 golf balls is as follows:
2(2.5) + 4(0.75) = 5 + 3 = $8
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help pls! The pair of figures to the right are similar. Compare the first figure to the second. Give the ratio of the perimeters and the ratio of the areas.
Step-by-step explanation:
the scaling ratio is 12/20 = 3/5.
this always applies only to one-dimensional distances, lengths.
the perimeter is calculated as the sum of individual lengths. so while each length is scaled by the same ratio, also the sum is then scaled by that ratio.
p_old = a + b + c
p_new = ra + rb + rc = r(a + b + c) = r×p_old
so, the ratio for the perimeter is also 3/5.
for the area this is a bit different, as an area is always calculated by multiplying 2 lengths (other unscaled factors can be ignored for that consideration of relative change), and that means the scaling ratio has to be multiplied in twice.
a_old = a × b
a_new = ra × rb = r² × a×b = r² × a_old
so, the ratio for the area is
(3/5)² = 9/25
Ali is in charge of the dinner menu for his senior prom, and he wants to use a one-sample z interval to estimate
what proportion of seniors would order a vegetarian option. He randomly selects 30 of the 150 total seniors
and finds that 7 of those sampled would order the vegetarian option.
Which conditions for constructing this confidence interval did Ali's sample meet?
Choose all answers that apply:
A. the data is a random sample from the population of interest
B. np^>_10 and n(1-p^)>_10
C. individual observations can be considered independent
Answer: A: The data is a random sample from the population of interest
Step-by-step explanation: kahn
A student recorded the distance and height of a basketball when shooting a free throw.
Distance feet X 0 2 6 9 12 13 15
Height (feet) Y 4 8.4 12.1 14.2 13.2 10.5 9.8
(a) Write the quadratic regression equation mal models the data Letx=distance in feet and let y= height in feet Round all numbers to the nearest hundredth
(b) Use the equation to estimate the height of basketball when shot from 20 feet. Show your work.
Answer:
a) [tex]y = 0.118x^{2} +2.112x+4.215\\[/tex]
b)height = 896.2 feet
Step-by-step explanation:
for b, substitute 20 in place of x in the first equation.
an effort to make room for new inventory, a college bookstore runs a sale on least popular mathematics books. The sales rate (books sold per day) on day of the sale is predicted to be 60 / t (for t >= 1), where t = 1 corresponds to the beginning of the sale, at which time none of the inventory of 595 books had been sold.
A) Find a formula for the number of books sold up to day t. S(t)=
B) Will the store have sold its inventory of 595 books by day t = 30? “Yes” or “No”
Answer:
The sun, eight plants and some other celestial
Answer:1
Step-by-step explanation:
The sun, eight plants and some other celestial
1) At a store, 40% of all the refrigerators are silver. There are 50 silver
refrigerators at the store. How many refrigerators are at the store?
In total there are 125 refrigerators at the store.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, at a store, 40% of all the refrigerators are silver.
There are 50 silver refrigerators at the store.
Let the total number of refrigerators at the store be x.
Here, 40% of x=50
40/100 ×x=50
0.4x=50
x=50/0.4
x=125
Therefore, in total there are 125 refrigerators at the store.
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Which point is located at (-1, 1 1/4)
A
B
C
D
Answer: Point A.
Step-by-step explanation: To find the location of points such as (-1, 1 1/4), you need to know what part of the point is the x-axis and the y-axis. The first part of the point is the x-axis, which is the horizontal line that goes left to right on the coordinate graph. The first part of the point (-1, 1 1/4), is -1. The second part of the point is the y-axis, which is the vertical line that goes up and down on the coordinate graph. The second part of the point (-1, 1 1/4), is 1 1/4. Therefore, we first find the x-axis to the point (-1, 1 1/4), which is -1, and so far, point A is the only option that matches. However, we need to make sure that the point (-1, 1 1/4)'s y-axis matches to point A as well. The y-axis to the point (-1, 1 1/4) is 1 1/4 so we need to go up 1 1/4 times, and the point that matches these actions is point A. Therefore, that's your answer.
Let me know if this is right! :)
exg(x), where g(0) = 6 and g'(0) = 1, find f '(0).
Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 2 units up and 1 unit right. Which rule represents the translation? After the translation, what are the coordinates of vertex A'? Q: A: A) (x, y) → ( x + 1, y + 2); (−2, 6) B) (x, y) → ( x + 2, y + 1); (−1, 5) C) (x, y) → (x − 1, y + 2); (−4, 6) D) (x, y) → (x − 2, y − 1); A(−7, 3)
Answer:
a(-2.6) b(5, 0) c(9,5)
Step-by-step explanation:
the rule is x+1 y+2 for each of the vertices
Solve the simultaneous equations
5x + y = -5
5x – 3y = 11
The solution to the simultaneous equations, 5x + y = -5 and 5x – 3y = 11, is: (-1/5, -4)
What is the Solution of Simultaneous Equations?The solution is the pair of values of x and y that is true for both equations.
Given the simultaneous equations,
5x + y = -5
5x – 3y = 11
Subtract
4y = -16
y = -4
Substitute y = -4 into equation 1.
5x + (-4) = -5
5x - 4 = -5
5x = -5 + 4
5x = -1
x = -1/5
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The average value of the function y = x² – 1 on [0, 12] is
Answer:
47.
Step-by-step explanation:
1) the rule:
[tex]f_{avr}=\frac{1}{b-a} \int\limits^b_a {f(x)} \, dx ,[/tex]
where a;b are 0 and 12, f(x)=x²-1.
2) according to the rule above:
[tex]f_{avr}=\frac{1}{12-0} \int\limits^{12}_0 {(x^2-1)} \, dx=\frac{1}{12}(\frac{x^3}{3}-x)|^{12}_0=48-1=47.[/tex]
Emily threw a ball up in the air from her tree house. It followed the path given by the parabola y equals short dash 2 x squared plus 14 x plus 60, where x is the distance from the tree house (in feet), and y is the height of the ball (in feet). At what distance from the tree house did the ball strike the ground?
The distance from the tree house that the ball strike the ground is 10feet
Equation of a parabolaGiven the path of the ball expressed by the parabola equation:
y = -2x^2+14x +60
The point where the ball strikes the ground is the point where y = 0. Substitute into the equation to have:
-2x^2+14x +60 = 0
x^2 - 7x - 30 = 0
Factorize the result
x^2 - 10x + 3x - 30 = 0
x(x-10)+3(x-10) = 0
x - 10 =0
x = 10
Hence the distance from the tree house that the ball strike the ground is 10feet
Learn more on function here: https://brainly.com/question/25638609
The best way to convince employers of your skills and abilities is to _____. a. provide a written list, such as in your resume b. offer proof by example in answering interview questions c. have the employer contact your references d. none of the above
Answer:
A.
Step-by-step explanation:
B and C seem to stray away from what the question originally asked.
Answer:
the answer is B ( offer proof by example in answering interview questions)
Step-by-step explanation:
hope this helps:)
ed 2023
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
A). (tan(x) − 4)(9 sin^2(x) − 1) = 0
B). 3 sin(2x) − 4 sin(x) = 0
Answer:
Step-by-step explanation:
A)[tex](tanx-4)(9sin^2x-1)=0\\\\\\[/tex]
[tex]9sin^2x-1=0\\\\sin^2x=\frac{1}{9} sinx=\frac{1}{3}[/tex] or [tex]sinx=\frac{-1}{3}[/tex]
OR [tex]tanx=4\\[/tex]
B)
[tex]3sin2x=3.2.sinx.cosx\\\\6.sinx.cosx-4.sinx= 2sinx.(3cosx-2)=0\\\\3.cosx=2 cosx=\frac{2}{3}[/tex]
3,5,6 please help me with these
Answer:
you cant do these they are 3rd and 4th questions
Step-by-step explanation:
Answer:
You can find the answers by dividing the numbers
Step-by-step explanation:
Hmu if u still need help :)
What is the volume of a right circular cylinder with a base diameter of 18 yd and a height of 3 yd?
Enter your answer in the box. Express your answer using π.
I've seen people answer with 763.4yd^3 or 254pi yd^3 . Please answer if you know 100%. Also please show your work.
Answer:
[tex]V=763.407[/tex] yd^3
Step-by-step explanation:
Formula for volume of right circular cylinder.
[tex]V=\pi r^{2}*6[/tex]
[tex]r=\frac{d}{2}[/tex]
We are given the diameter (d) and the height (h).
First solve for r.
[tex]r=\frac{18}{2}[/tex]
[tex]r=9[/tex]
Now we have everything we need to find the volume. Plug in r into the volume formula.
[tex]V=\pi *9^{2} *3[/tex]
[tex]V=763.407[/tex] yd^3
What is the missing length?
10 yd
=
Area of shaded region
50 yd?
Answer:
v = 10 yd
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = 10 , h = v and A = 50 , then
[tex]\frac{1}{2}[/tex] × 10v = 50
5v = 50 ( divide both sides by 5 )
v = 10
Write an equation in standard form of the hyperbola described.
Focus (4, 0); vertex (2, 0); center (0, 0)
Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.
[tex]\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}[/tex]
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified, exact value in terms of PI (no approximations). The figures are based on semicircles or quarter circles, and problems (b), (c), and (d) involve portions of a square. Calculate area and perimeter
Check the picture below.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{triangle}{\cfrac{1}{2}(6)(6)}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}\pi (3)^2}}\implies \boxed{18+4.5\pi} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{pythagorean~theorem}{CA^2 = AB^2 + BC^2\implies} CA=\sqrt{AB^2 + BC^2} \\\\\\ CA=\sqrt{6^2+6^2}\implies CA=\sqrt{6^2(1+1)}\implies CA=6\sqrt{2} \\\\\\ \stackrel{\textit{\Large Perimeters}}{\stackrel{triangle}{(6+6\sqrt{2})}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}2\pi (3)}}\implies \boxed{6+6\sqrt{2}+3\pi}[/tex]
notice that for the perimeter we didn't include the segment BC, because the perimeter of a figure is simply the outer borders.
I need help with 4 and 5 I really don’t get it
A bag of oranges weighs 3/5 pounds. How much do
1 3/5 bags weigh?
Solve the equation below for y
3 ( y + 3 ) = 14
Answer:
y = 3/5
Step-by-step explanation:
3(y+3) = 14
3*y+3*3 = 14
3y+9 = 14
3y = 14-9
3y = 5
y = 3/5
HELP PLEASE ! What is the solution to the equation x + 9.5 = 27.5? (1 point)
a
x = 2.9
b
x = 18
c
x = 20
d
x = 37
Answer:
B
Step-by-step explanation:
Group like them
such that the coefficient stands alone
by subtracting both sides by 9.5
For his phone service, Manuel pays a monthly fee of $11, and he pays an additional $0.07 per minute of use. The least he has been charged in a month is
$104.45
What are the possible numbers of minutes he has used his phone in a month?
Use m for the number of minutes, and solve your inequality for m.
Step-by-step explanation:
M=?
=$104.45-$11
=93.45
$93.45÷0.07
=1335
He used 1335 minutes in month
Pls help with this question
Answer:
They(play) football for two hours (present perfect continuous
The circumcenter of a triangle can lie on one of the edges if the triangle is:
Select the best choice from the answers provided.
A.
Right
B.
Acute
C.
Obtuse
D.
none of the above choices are correct.
Answer:
B. Acute
Step-by-step explanation:
the hypotenuse for right triangles and lies outside the triangle for obtuse triangles. The circumcenter coincides with the midpoint of the hypotenuse if it is an isosceles right triangle.