Answer:
Ground distance = 10396 feet (nearest foot)
Step-by-step explanation:
The horizontal distance given the vertical is governed by the tangent of the angle of depression.
V/H = tan(angle of depression)
Hence
H = V / tan(angle of depression)
= 2400 / tan(13)
= 10395.5 feet
Solve the quadratic equation by factoring 9x^2 -16 = 0
Answer: x= - 4/3 and x = 4/3
Step-by-step explanation:
(3x-4) times (3x+4) = 0
The speed of light is 186,000 miles per second. About how many miles does light travel in an hour? 5.2 × 10^1 miles 3.1 × 10^3 miles 1.1 × 10^7 miles 6.7 × 10^8 miles
Hey there! I'm happy to help!
We see that light travels 186,000 miles per second. How many miles is this per minute. Well, there are 60 seconds a minute, so we multiply by 60!
186,000×60=11160000
And there are 60 minutes in an hour, so we multiply by sixty again!
11160000×60=669600000
Now, we need to write this in scientific notation. To do this, we move the decimal back enough places to have a one digit number, and we multiply that one digit number by 10 to the power of how many places you moved the decimal back.
In the number 669600000 we can move the decimal point back 8 times which gives us 6.696 (we don't need the zeroes after a decimal) multiplied by 10 to the 8th power because we moved the decimal back eight places.
This can be written as 6.696×10^8, which is closest to the answer option 6.7×10^8 miles.
Have a wonderful day! :D
help with this will give bralienst pleaseeee
Answer:
D
Step-by-step explanation:
You can test this out with a number.
try dividing 23 by 8:
you will get 2 remainder 7 which works for the condition.
Note: Whenever you divide a number by x(other number) the remainder will always have to be to less than x:
The only one that applies to this aforementioned condition is 8.
Answer:
D
Step-by-step explanation:
The remainder can never be greater than the number by which it is divided
For example:
n = any number
n / 2 -> The remainder will never be greater than 2 (0 < remainder <2)
n / 3 -> The remainder will never be greater than 3 (0 < remainder <3)
n / 4 -> The remainder will never be greater than 4 (0 < remainder <4)
n / 5 -> The remainder will never be greater than 5 (0 < remainder <5)
n / 6 -> The remainder will never be greater than 6 (0 < remainder <6)
..... etc
Two similar triangles have perimeters of 45 cm and 75 cm respectively. What scale factor would relate these two triangles?
Answer:
1 2/3
Step-by-step explanation:
Well we divide 75 by 45 which is 1.6 repeating and that as a fraction is 1 2/3.
Thus,
the scale factor that relates the 2 triangles is 1 2/3.
Hope this helps :)
What is the five-number summary for this data set?
12, 15, 17, 20, 22, 25, 27, 30, 33, 37
Assume the numbers in each answer choice are listed in this order: min, Q1,
median, Q3, max.
Answer: min = 12, Q1 =17, median =23.5 , Q3 = 30, max = 37 .
Step-by-step explanation:
The five-number summary for this data set consists of min, Q1,
median, Q3, max.
Given data: 12, 15, 17, 20, 22, 25, 27, 30, 33, 37, which is already arranged in a order.
Minimum value = 12
Maximum value = 37
since , number of observations = 10 (even)
So , Median = Mean of middle most terms
Middle most terms = 22, 25
Median =[tex]\dfrac{22+25}{2}=23.5[/tex]
First quartile ([tex]Q_1[/tex])= Median of first half ( 12, 15, 17, 20, 22)
= middle most term
= 17
Third quartile ([tex]Q_3[/tex]) = Median of second half (25, 27, 30, 33, 37)
= middle most term
= 30
Hence, five-number summary for this data set :
min = 12, Q1 =17, median =23.5 , Q3 = 30, max = 37 .
n ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)?
Answer:
48.28 cmStep-by-step explanation:
Since the shape is a cube of side 20cm, then all the side of the cube will be 20cm since all the side of a cube are all equal.
The shortest path the ant can be take is to first travel along the diagonal of the square from point A to the other edge on the front face and then move to point B on its adjacent side on a straight line.
To get the total distance he will take, we will first calcuate the value of the diagonal distance of the square face using pythagoras theorem as shown.
hypotenuse² = opposite² + adjacent²
The opposite = adjacent = 20cm
The hypotenuse is the length of the diagonal that we need.
hyp² = 20²+20²
hyp² = 400+400
hyp² = 800
hyp = √800
hyp = 28.28 cm
The length of the diagonal is 28.28 cm.
Afterwards, the ant will move 20cm to point B from the stopping point.
Total distance will be 28.28 + 20 = 48.28 cm
Given the graph of the circle find the equation
Answer:
(x + 4)² + (y + 1)² = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = )- 4, - 1) and r = 2 , thus
(x - (- 4))² + (y - (- 1))² = 2² , that is
(x + 4)² + (y + 1)² = 4 ← equation of circle
The equation of the circle will be (x + 4)² + (y + 1)² = 4.
What is a circle?The circle is at equidistant of points drawn from the center. The radius of a circle is the distance between the center and the circumference.
A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h, k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x – h)² + (y – k)² = r²
From the diagram, the center of the circle is at (-4, -1) and the radius of the circle is 2 units.
Then the equation of the circle will be
(x + 4)² + (y + 1)² = 2²
Simplify the equation, according to the problem.
(x + 4)² + (y + 1)² = 4
The equation of the circle will be (x + 4)² + (y + 1)² = 4.
More about the circle link is given below.
https://brainly.com/question/11833983
#SPJ2
PLEASE HELP ASAP. Drag each tile to the correct box
Answer:
3 <1<4<2
hope it worked
pls mark me as
BRAINLIEST
plss
Answer:
3>1>2>4
Step-by-step explanation:
Help ASAP!!!!
1. Solve for x. Round to the nearest hundredth if necessary.
Answer:
The answer is option B
34.28Step-by-step explanation:
To solve for x we use tan
tan ∅ = opposite / adjacent
From the question
The adjacent is x
The opposite is 19
So we have
tan 29 = 19/ x
x = 19/ tan 29
x = 34.276
x = 34.28 to the nearest hundredthHope this helps
Answer:
x ≈ 34.28
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan29° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{19}{x}[/tex] ( multiply both sides by x )
x × tan29° = 19 ( divide both sides by tan29° )
x = [tex]\frac{19}{tan29}[/tex] ≈ 34.28 ( to the nearest hundredth )
35 is 10% of what number?
Answer:
Step-by-step explanation:
If you take 10 percent of a number and get 35, then what is that number?
In other words, you know that 10 percent of a number is 35 and you want to know what that initial number is.
To solve this problem you multiply 35 by 100 and then divide the total by 10 as follows:
(35 x 100) / 10
When we put that into our calculator, we get the following answer:
350
Therefore, you can derive that 10 percent of 350 equals 35.
need help thanksssss
Before we can find any of the three items mentioned, we need the height. The diameter is 10, so the radius is 5. A right triangle with hypotenuse 13 and leg 5 forms. The height is h. Use the pythaogrean theorem to solve for h
5^2+h^2 = 13^2
25+h^2 = 169
h^2 = 169-25
h^2 = 144
h = sqrt(144)
h = 12
The height is 12. We now have enough info to find the volume, the lateral area and surface area.
-------------------------------------------------------------------
Volume
V = (1/3)*pi*r^2*h
V = (1/3)*3.14*5^2*12
V = 314 cubic cm
-------------------------------------------------------------------
Lateral Area
LA = pi*r*L
LA = 3.14*5*13
LA = 204.1 square cm
-------------------------------------------------------------------
Surface Area
SA = 2*pi*r + pi*r*L .... note how we add on the lateral area to the bottom circular area
SA = 2*3.14*5 + 3.14*5*13
SA = 235.5 square cm
Compare the following pairs of decimals. Use to indicate their relationship. a. 0.7 _______ 0.52 b. .52 _______ .045 c. 0.49 _______ 0.94 d. 0.302 _______ .23 e. 0.9 _______ 0.6 f. 2.36 _______ 3.19
Answer:
a)0.7 is greater than>0.52
b)0.52 is greater than>0.045
c)0.49 is less than<0.94
d)0.302 is greater than>0.23
e)0.9 is greater than>0.6
f)2.36 is less than<3.19
Gravel is being dumped from a conveyor belt at a rate of 35 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 12 ft high? (Round your answer to two decimal places.)
Answer:
0.31 ft/s
Step-by-step explanation:
The volume of a cone is given by the formula:
V = πr²h/3
From the question, we are given the diameter and the height to be equal, thus;
r = h/2
Putting h/2 for r into the volume equation, we have;
V = (π(h/2)²h)/3
V = πh³/12
Using implicit derivatives,we have;
dV/dt = (πh²/4)(dh/dt)
From the question, we want to find out how fast is the height of the pile increasing. This is dh/dt.
We have;
dV/dt = 35 ft³/min and h = 12ft
Plugging in the relevant values, we have;
35 = (π×12²/4)(dh/dt)
dh/dt = (35 × 4)/(144 × π)
dh/dt = 0.3095 ft/s ≈ 0.31 ft/s
Fred has $26 to buy sketch paper for his art class. Each sketch pad costs $4.
How many sketch pads can he buy? Do not include units in your answer.
Answer:
6 pads
Step-by-step explanation:
Take the amount of money and divide by the cost per pad
26/4 = 6 with 1 dollar left over
He can buy 6 pads
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
upper box is 0
middle box is 3 and
the downer box is 6
Step-by-step explanation:
Have a nice day
The quotient of a number and -5 has a result of 2. What is the number?
Type the correct answer in the box. Use numerals instead of words.
Answer:
-10
-5 * 2 = -10
Hope this is right
Which is true about the polynomial 9x²y – 6x - 5y^2
Answer:
D
Step-by-step explanation:
It is a trinomial with a degree of 3.
This is the correct answer on the exam.
Find the area of the shaded regions.
Answer:
[tex]A = A_c-A_t=4\pi -8=4.5664cm^2[/tex]
Step-by-step explanation:
The area of the shaded region can be calculated as the area of the semicircle less the area of the right triangle.
The area of the right triangle can be calculated as:
[tex]A_t=\frac{b*h}{2} =\frac{LM*MN}{2}[/tex]
Where LM and MN have the same length because the internal angles are L=45°, M=90°, and N=45°. So the area is:
[tex]A_t=\frac{4*4}{2}=8[/tex]
The diameter of the circle can be calculated using the Pythagorean theorem as:
[tex]D=\sqrt{(LM)^2+(MN)^2} =\sqrt{4^2+4^4}=4\sqrt{2}[/tex]
So, the radius is [tex]r=2\sqrt{2}[/tex]
Finally, the area of the semicircle is:
[tex]A_c=\frac{\pi*r^2 }{2}=\frac{\pi*(2\sqrt{2})^2 }{2}=4\pi[/tex]
So, the area of the shaded region is:
[tex]A = A_c-A_t=4\pi -8=4.5664cm^2[/tex]
plzz help brainliest thanks and 20 points Look at the cups shown below (images are not drawn to scale): A cone is shown with width 2 inches and height 3 inches, and a cylinder is shown with width 2 inches and height 7 inches. How many more cubic inches of juice will cup B hold than cup A when both are completely full? Round your answer to the nearest tenth. 18.8 cubic inches 21.9 cubic inches 25.1 cubic inches 32.6 cubic inches
Answer:
18.8 cubic inches
Step-by-step explanation:
1. Solve for the volume of Cup A. (volume of a cone = 1/3πr² · h)
1/3 · 3.14 · 1² · 3 = 3.14 in³
2. Solve for the volume of Cup B (volume of a cylinder = πr² · h)
3.14 · 1² · 7 = 21.98 in³
3. Subtract the volume of Cup A from Cup B
21.98 - 3.14 = 18.84
4. Round 18.84 to the nearest tenth
18.84 → 18.8 in.³
Answer:
18 .8
Step-by-step explanation:
got it right on test
The sum of two positive integers is 37. When the smaller integer is subtracted from twice the larger, the result is 41. Find the two integers.
Answer:
26 and 11
Step-by-step explanation:
When your add them you get 37, and when you multiply 26 by two you get 52. 52-11 is 41.
How large a sample must be drawn to estimate population proportion confidence interval width to within .04, with 95% confidence, if we believe the true percentage is 80%
Answer:
Sample size 'n' = 384
Step-by-step explanation:
Explanation:-
Given margin of error = 0.04
The sample proportion 'p'= 0.80
The margin of error is determined by
[tex]M.E = \frac{Z_{\alpha } \sqrt{p(1-p)} }{\sqrt{n} }[/tex]
[tex]0.04 = \frac{1.96 \sqrt{0.80(1-0.80)} }{\sqrt{n} }[/tex]
Cross multiplication, we get
[tex]\sqrt{n} = \frac{1.96 \sqrt{0.80(1-0.80)} }{0.04 }[/tex]
√n = 19.6
Squaring on both sides , we get
n = 384.16≅384
Brainliest for correct awnser Estimate the line of best fit using two points on the line.A.y = −8x + 80B.y = 4x + 80C.y = −4x + 80D.y = 8x + 80
Answer:
A.y = −8x + 80B
Step-by-step explanation:
first you have to find the slope :
P1(2,64). P2(6,32)
slope=Y2-Y1/X2-X1
slope=64-32/2-6
slope= -8
y= -8x + b. now solve for "b" by using one of the coordinates given above.
y= -8x + b. I will use coordinate p(2,64)
64= -8(2) + b
64 + 16 = b
80= b
you can use any of the coordinates i.e either P1(2,64)or P2(6,32) it doesn't affect the value of "b".
line of equation is :
.y = −8x + 80B
Answer: y= -8x+80
Step-by-step explanation:
The Digit 6 in which numbers repesent a value of 6 ones?
Answer:
B. 16.4
Step-by-step explanation:
Well in 16.4 the digit 6 is the first number meaning it is 6 ones.
Thus,
choice b is correct.
Hope this helps :)
Which of the following is the slope-intercept form of 6x + 2y = 28
a) y= 3x-4
b) y= 3x +4
c) y= -3x+4
d) y= -3x-4
Two points on line p have
coordinates (2, 1) and (5, 3).
The slope of the line is?
A. 2
B. 3/2
C. 1
D. 2/3
E. 4
Answer:
D. 2/3Step-by-step explanation:
[tex](2, 1) (5, 3)\\x_1 =2 \\y_1 =1\\x_2=5\\y_2 =3\\m =\frac{y_2-y_1}{x_2-x_1} \\\\m = \frac{3-1}{5-2} \\\\m = 2/3[/tex]
The shape of a garden is rectangular at the center and semicircular at the ends. Find the area and perimeter of this garden { length of the rectangle is 20 - (3.5+3.5) meters} The First, correct answer gets BRAINLIEST
Mensuration:
Mensuration is the branch of mathematics which concerns itself with the measurement of Lengths, areas & volume of different geometrical shapes or figures.
Plane Figure: A figure which lies in a plane is called a plane figure.
For e.g: a rectangle, square, a rhombus, a parallelogram, a trapezium.
Perimeter:
The perimeter of a closed plane figure is the total length of its boundary.
In case of a triangle or a polygon the perimeter is the sum of the length of its sides.
Unit of perimeter is a centimetre (cm), metre(m) kilometre(km) e.t.c
Area: The area of the plane figure is the measure of the surface enclose by its boundary.
The area of a triangle are a polygon is the measure of the surface enclosed by its sides.
A square centimetre (cm²) is generally taken at the standard unit of an area. We use square metre (m²) also for the units of area.
Circumference of a circle is the perimeter of a circle.
In a circle the radius is half of the diameter.
The approximate value of π( Pi) is= 22/7
==========================================================
Select the correct option.
In a game, bonus points are awarded based on the number of the level that is cleared. The bonus points are calculated by a function
that is 15 times the cube root of the level cleared and rounded to the closest integer value.
Which of the following options represents the bonus points scored as the levels advance?
Answer:
Graph A.
Step-by-step explanation:
-s^2+2s=0 Separate the two values with a comma.
Answer:
s = 0 OR s = 2
Step-by-step explanation:
=> [tex]-s^2+2s = 0[/tex]
=> [tex]-s(s-2)=0[/tex]
So, Either:
=> -s = 0 OR s-2 = 0
=> s = 0 OR s = 2
Answer:
s=0,2
Step-by-step explanation:
-s^2+2s=0
Factor out -s
-s ( s-2) =0
Using the zero product property
-s =0 s-2 =0
s=0 s=2
Solve the given integral equation for LaTeX: y(t)y ( t ). LaTeX: y(t)+9\displaystyle{\int_{0}^{t}e^{9(t-v)}y(v)\, dv}=\sin(3t)y ( t ) + 9 ∫ 0 t e 9 ( t − v ) y ( v ) d v = sin ( 3 t ) Group of answer choices LaTeX: y(t)=3\cos(3t)+9\sin(3t)-9 y ( t ) = 3 cos ( 3 t ) + 9 sin ( 3 t ) − 9 LaTeX: y(t)=3\cos(3t)+\sin(3t)-3 y ( t ) = 3 cos ( 3 t ) + sin ( 3 t ) − 3 LaTeX: y(t)=3\cos(3t)+\sin(3t) y ( t ) = 3 cos ( 3 t ) + sin ( 3 t ) LaTeX: y(t)=3\cos(3t)+9\sin(3t) y ( t ) = 3 cos ( 3 t ) + 9 sin ( 3 t ) LaTeX: y(t)=\cos(3t)+3\sin(3t)-3
Looks like the equation is
[tex]y(t)+9\displaystyle\int_0^te^{9(t-v)}y(v)\,\mathrm dv=\sin(3t)[/tex]
Differentiating both sides yields the linear ODE,
[tex]y'(t)+9e^{9(t-t)}y(t)=3\cos(3t)[/tex]
or
[tex]y'(t)+9y(t)=3\cos(3t)[/tex]
Multiply both sides by the integrating factor [tex]e^{9t}[/tex]:
[tex]e^{9t}y'(t)+9e^{9t}y(t)=3e^{9t}\cos(3t)[/tex]
[tex]\left(e^{9t}y(t)\right)'=3e^{9t}\cos(3t)[/tex]
Integrate both sides, then solve for [tex]y(t)[/tex]:
[tex]e^{9t}y(t)=\dfrac1{10}e^{9t}(\sin(3t)+3\cos(3t))+C[/tex]
[tex]y(t)=\dfrac{\sin(3t)+3\cos(3t)}{10}+Ce^{-9t}[/tex]
The given answer choices all seem to be missing C, so I suspect you left out an initial condition. But we can find one; let [tex]t=0[/tex], then the integral vanishes and we're left with [tex]y(0)=0[/tex]. So
[tex]0=\dfrac{0+3}{10}+C\implies C=-\dfrac3{10}[/tex]
So the particular solution is
[tex]y(t)=\dfrac{\sin(3t)+3\cos(3t)-3e^{-9t}}{10}[/tex]
A company is evaluating which of two alternatives should be used to produce a product that will sell for $35 per unit. The following cost information describes the two alternatives.
Process A Process B
Fixed Cost $500,000 $750,000
Variable Cost per Unit $25 $23
Requirement:;
i) Calculate the breakeven volume for Process A. (show calculation to receive credit)
ii) Calculate the breakeven volume for Process B. (show calculation to receive credit)
III) Directions: Show calculation below and Circle the letter of the correct answer.
If total demand (volume) is 120,000 units, then the company should
select Process A with a profit of $940,000 to maximize profit
select Process B with a profit of $450,000 to maximize profit
select Process A with a profit of $700,000 to maximize profit
select Process B with a profit of $690,000 to maximize profit
Answer:
A.50,000 units
B.62,500 units
C.Process A with a profit of $700,000 to maximize profit
Step-by-step explanation:
A.Calculation for the breakeven volume for Process A
Using this formula
Breakeven volume for Process A= Fixed cost/(Sales per units-Variable cost per units)
Let plug in the formula
Breakeven volume for Process A=500,000/(35-25)
Breakeven volume for Process A=500,000/10
Breakeven volume for Process A=50,000 units
B.Calculation for the breakeven volume for Process B
Using this formula
Breakeven volume for Process B= Fixed cost/(Sales per units-Variable cost per units)
Let plug in the formula
Breakeven volume for Process B=750,000/(35-23)
Breakeven volume for Process B=750,000/12
Breakeven volume for Process B=62,500 units
C. Calculation for what the company should do if the total demand (volume) is 120,000 units
Using this formula
Profit=(Total demand*(Sales per units-Variable cost per units for Process A)- Process A fixed cost
Let plug in the formula
Profit =120,000*($35-$25)-$500,000
Profit=120,000*10-$500,000
Profit=1,200,000-$500,000
Profit= $700,000
Therefore If total demand (volume) is 120,000 units, then the company should select Process A with a profit of $700,000 to maximize profit.