Answer:
1.5
Step-by-step explanation:
please help!!
A hot-air balloon is rising straight up from a level field at a constant rate. This balloon is tracked by a range finder located on the ground 496feetfrom the lift-off point. At the moment the elevation angle from the range finder to the balloon is 0.875radian, this elevation angle is increasing at the rate of 0.225 radianper minute. At what rate is the distance between the range finder and the balloon changing when the elevation angle is 0.875 radian? Keep 3decimal places in your final answer
Answer:
46.091 m
Step-by-step explanation:
Given that
Height of the range finder, = 496 feet
Angle of elevation, θ = 0.875 Rad = 50°
Velocity of increment, = 0.225 rad/min
For starters, we try and assume that it all takes place in a triangular shape. Using Pythagoras theorem, we then know that
Tanθ = y / 496
y = 496 tanθ
On differentiating, we have
dy/dt = 496 sec²θ
dy/dt = 496 * 0.413 * de/df
dy/dt = 204.848 * de/df
dy/dt = 204.848 * 0.225
dy/dt = 46.091 m
5. The length of a rectangle is 8 cm more than four times the width. If the perimeter of the rectangle is 86 cm,
what are its dimensions?
a) Write the system of equations:
b) Solve the system to find the dimensions:
PLEASE HELP
Jason has a business that prints posters. He is working on an order for printing 1500 posters. He only has 400 posters left to print to complete the order.
Jason will only leave for the day if he has printed
7/10 of the posters for the order.
Can he leave for the day right now?
A. No! Jason has only printed 27/100 of the posters needed.
B. Yes! Jason has printed 73/100 of the posters needed.
С. Yes! Jason has printed exactly 7/10 of the posters needed.
D. No! Jason has only printed 29/50 of the posters needed
Answer:
B. Yes! Jason has printed 73/100 of the posters needed.
Step-by-step explanation:
7/10(1500) = 1050 minimum to print
1500-400 = 1100 printed
1100/1500 = 73/100
Can someone explain how to get the answer?
Answer:
A = 76
Step-by-step explanation:
Formula of the area of a triangle: [tex]A=\frac{h*b}{2}[/tex]
Formula of a rectangle: [tex]A=l*w[/tex]
So starting with the triangle...You know that the height of the triangle is 7, and the base of the triangle is 8 because the base of the rectangle is the same as the triangle's base...
Now using the formula of the triangle...
A = [tex]\frac{7*8}{2}[/tex]
= 28
Now find the area of the whole retangle...The length of the rectangle is 13 because 7+6=13; the width is 8
Now using the formula of the rectangle...
A = [tex]13*8[/tex]
= 108
Now that you have the areas of both the triangle and the retangle...Do subtraction to find the shaded area...
[tex]108 - 28 = 76[/tex]
A triangular pyramid has a height of 51 yards and a base with an area of 225 square yards. What is the volume of the pyramid?
WILL MARK BRAINLEST
PLEASE HURRYYY!!1
Answer:
3,825 y³
Step-by-step explanation:
A bucket that weighs 6 lb and a rope of negligible weight are used to draw water from a well that is 80 ft deep. The bucket is filled with 36 lb of water and is pulled up at a rate of 1.5 ft/s, but water leaks out of a hole in the bucket at a rate of 0.15 lb/s. Find the work done W in pulling the bucket to the top of the well.
Answer:
3200 ft-lb
Step-by-step explanation:
To answer this question, we need to find the force applied by the rope on the bucket at time [tex]t[/tex]
At [tex]t=0, the weight of the bucket is 6+36=42 \mathrm{lb}[/tex]
After [tex]t[/tex] seconds, the weight of the bucket is [tex]42-0.15 t \mathrm{lb}[/tex]
Since the acceleration of the bucket is the force on the bucket by the rope is equal to the weight of the bucket.
If the upward direction is positive, the displacement after [tex]t[/tex] seconds is [tex]x=1.5 t[/tex]
Since the well is 80 ft deep, the time to pull out the bucket is [tex]\frac{80}{2}=40 \mathrm{~s}[/tex]
We are now ready to calculate the work done by the rope on the bucket.
Since the displacement and the force are in the same direction, we can write
[tex]W=\int_{t=0}^{t=36} F d x[/tex]
Use [tex]x=1.5 t[/tex] and [tex]F=42-0.15 t[/tex]
[tex]W=\int_{0}^{36}(42-0.15 t)(1.5 d t)[/tex]
[tex]=\int_{0}^{36} 63-0.225 t d t[/tex]
[tex]=63 \cdot 36-0.2 \cdot 36^{2}-0=3200 \mathrm{ft} \cdot \mathrm{lb}[/tex]
[tex]=\left[63 t-0.2 t^{2}\right]_{0}^{36}[/tex]
[tex]W=3200 \mathrm{ft} \cdot \mathrm{lb}[/tex]
What is the measure of the exterior angle shown in the figure below?
Answer:Measures of Exterior Angles
They are formed on the outer part, that is, the exterior of the angle.
The corresponding sum of the exterior and interior angles formed on the same side = 180°.
Step-by-step explanation: is that what u mean?
Help help help plz plz
Answer:2nd i think i hope this helps ! :)
Step-by-step explanation:
Anybody know how to solve this?
Answer:
1
Step-by-step explanation:
Anything to the 0 power is 1.
Hope this helps!
:)
Answer:
the answer is one.
Step-by-step explanation:
anything to the power of zero is one
Explain how to find 40% of a number using friendly percents
Answer:
here's your solution
=> percent means divided by 100
=> to find 40% of a number ,
=> we have to think for a number here it
is not given
=> so, we have to assume it , then let the
number be X
=> now ,. equation= 40/100*x
=> 40/100*X
hope it helps
Find two integers whose sum is 11 and product is 18
Answer:
9,2 and 2,9
Step-by-step explanation:
x+y=11
xy=18
Since they are asking for integers you can simply look through and see what integers multiply out to 18 and then check if they add up to 11. The answers for x and y are 9 and 2. but 9 can be for y as well and 2 can be for x.
How to solve it algebraically
18/y=x
x+y=11(insert 18/y for x)
18/y+y=11(factor it)
(y^2+18)/y=11(multiply both sides by y)
y^2+18=11y (subtract both sides by 11y)
y^2-11y+18=0
complete the square
y^2-11y = -18
(-11/2)^2=121/4 (add in on both sides)
y^2-11y+121/4=49/4
(y-11/2)^2=49/4 (square root both sides)
y-11/2=±7/2
y=11/2±7/2
y=9 or y=2
so
x=9 or x=2
Hope this helps :)
Please give brainliest
What's the expanded notation of 5.34
Given f(x)=(1/2x)-5, find f^-1(x).
Answer:
[tex]f^{-1}[/tex](x)=2x+10
Step-by-step explanation:
f(x)=[tex]\frac{x}{2}[/tex]-5
Let y= [tex]\frac{x}{2}[/tex]-5
y= [tex]\frac{y}{2}[/tex]-5
x+5= [tex]\frac{y}{2}[/tex]
Both side multiple 2,
2x+10=y
[tex]f^{-1}[/tex](x)=2x+10
In a game called Taxation and Evasion, a player rolls a pair of dice. If, on any turn, the sum is 7, 11, or 12, the player gets audited. Otherwise, she avoids taxes. Suppose a player takes 5 turns at rolling the dice. The probability that she does not get audited is ________.
Answer:
[tex]Probability = \frac{243}{1024}[/tex]
Step-by-step explanation:
Given
[tex]Sum = \{7, 11, 12\}[/tex]
[tex]Rolls = 5[/tex]
Required
Probability of not getting audited
If a pair of dice is rolled, the following are the observations of the sum
[tex]Outcomes = 36[/tex]
[tex]Sum\ of\ 7 = 6[/tex]
[tex]Sum\ of\ 11 = 2[/tex]
[tex]Sum\ of\ 12 = 1[/tex]
So, in a single roll; The probability of getting audited is:
[tex]p= \frac{1 + 2 + 6}{36}[/tex]
[tex]p= \frac{9}{36}[/tex]
[tex]p= \frac{1}{4}[/tex]
The probability of not getting audited in a single roll is:
[tex]q = 1 - p[/tex] --- Complement rule
[tex]q = 1 - \frac{1}{4}[/tex]
Take LCM
[tex]q = \frac{4 - 1}{4}[/tex]
[tex]q = \frac{3}{4}[/tex]
The probability of not getting audited in 5 rolls is:
[tex]Probability = q^5[/tex]
[tex]Probability = (\frac{3}{4})^5[/tex]
[tex]Probability = \frac{3^5}{4^5}[/tex]
[tex]Probability = \frac{243}{1024}[/tex]
Find the probability that a randomly chosen point is located within the shaded region. Write your answer as a decimal, and
round to the nearest thousandth, if necessary.
6
3
Probability
Answer:
[tex]Probability = 0.25[/tex]
Step-by-step explanation:
Given
The attached shape
Required
Probability of locating within the shaded region
First, calculated the area of the shaded region
[tex]A_1 = 0.5 * base * height[/tex]
Where
[tex]base = 8cm\\ height = 6cm[/tex] --- given
So:
[tex]A_1 = 0.5 * 8cm* 6cm[/tex]
[tex]A_1 = 24cm^2[/tex]
Next, calculated the area of the complete rectangle
[tex]A_2 = Length* Width[/tex]
Where
[tex]Width = 12cm\\ Length = 8cm[/tex] --- given
So:
[tex]A_2 = 12cm * 8cm[/tex]
[tex]A_2 = 96cm^2[/tex]
The required probability is:
[tex]Probability = \frac{A_1}{A_2}[/tex]
[tex]Probability = \frac{24cm^2}{96cm^2}[/tex]
[tex]Probability = 0.25[/tex]
True or False? A circle could be circumscribed about the quadrilateral below. c 80° A. True 95° B. False 85°
Answer:
False
Step-by-step explanation:
The circle could be circumscribed about the quadrilateral is false because the sum of the opposite angles is not 180 degrees.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners. Two pairs of congruent sides, and it has one pair of opposite congruent angles.
As we know, the circle can be circumscribed around a quadrilateral if and only if the quadrilateral's opposite angles add up to 180 degrees.
But,
80 + 85 < 180
100 + 95 > 180
Thus, the circle could be circumscribed about the quadrilateral is false because the sum of the opposite angles is not 180 degrees.
Learn more about the quadrilateral here:
brainly.com/question/6321910
#SPJ2
I need help finding the perimeter to this shape, show your work so I can understand thanks
Step-by-step explanation:
there you go hope this helps you
h(x)=-2x^(2)+3x what is the value of h(-3)
Answer:
h(-3) = -27
Step-by-step explanation:
Given that,
[tex]h(x)=-2x^{(2)}+3x[/tex]
We need to find the value of h(-3).
Put x = -3 in the given expression.
[tex]h(-3)=-2(-3)^{(2)}+3(-3)\\\\=-2\times 9-9\\\\=-27[/tex]
So, the value of h(-3) is equal to -27.
BRAINLIEST
VOLUME OF A SPHERE
Answer:
[tex]\displaystyle V = 972 \pi \ ft^3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]
V is volumer is radiusStep-by-step explanation:
Step 1: Define
Radius r = 9 ft
Step 2: Solve for V
Substitute in r [Volume of a Sphere Formula]: [tex]\displaystyle V = \frac{4}{3} \pi (9 \ ft)^3[/tex][Volume] Evaluate exponents: [tex]\displaystyle V = \frac{4}{3} \pi (729 \ ft^3)[/tex][Volume] Multiply: [tex]\displaystyle V = 972 \pi \ ft^3[/tex]System A
System B
- 3x + 12y = 15
-x+ 4y = 5
7x - 10y = -2
7x– 10y = -2
1) How can we get System B from System A?
Answer:
The answer should actually be option C, replace one equation with a multiple of itself. Then for the second question the answer is A, Yes.
Step-by-step explanation:
Did it on Kahn Academy and these were the right answers, hope this helps! ♥
Answer:
khan
Step-by-step explanation:
Pls help I will give brainliest
I need help with question#15
Answer: I think it’s c
Step-by-step explanation:
Terrence played video games for 1/3 of an hour and walked his dog for 3/5 of an hour. Did Terrence spend more time playing video games or walking his dog?
Answer:
Terrence spend more time walking his dog .
Step-by-step explanation:
3/5 = 0.6
1/3 = 0.333
0.6>0.333
15.6<2.7(z-1)-0.6 please solve
Answer:
z > 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
15.6 < 2.7(z - 1) - 0.6
Step 2: Solve for z
[Addition Property of Equality] Add 0.6 on both sides: 16.2 < 2.7(z - 1)[Division Property of Equality] Divide 2.7 on both sides: 6 < z - 1[Addition Property of Equality] Add 1 on both sides: 7 < zRewrite: z > 7Here we see that any value z greater than 7 would work as a solution to the inequality.
What does 4! equal? Show the equation and what it equals
Answer:
4x3x2x1=24
Step-by-step explanation:
The value of an investment decreased by 10%. The original amount was $75.00. What is the current value of the investment?
Answer:
82.5 is the right answer
How many real cube roots does –343 have?
Answer:
Number (n)
Cubes (n3)
1-1
2-8
3-27
4-64
5-125
6-216
7-343
8-512
9-729
10-1000
Step-by-step explanation:
determine the intercepts of the line
x-intercept _,_
y- intercept _,_
HELP ASAP
There are 92 students in a chemistry class. The instructor must choose two students at random. Students in a Chemistry Class Academic Year Chemistry majors non-Chemistry majors Freshmen 15 15 Sophomores 13 9 Juniors 2 10 Seniors 12 16 What is the probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random
Answer:
0.0108 = 1.08% probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability that a sophomore non-Chemistry major
Out of 92 students, 9 are non-chemistry major sophomores. So
[tex]P(A) = \frac{9}{92}[/tex]
Then a junior non-Chemistry major are chosen at random.
Now, there are 91 students(1 has been chosen), of which 10 are non-chemistry major juniors. So
[tex]P(B) = \frac{10}{91}[/tex]
What is the probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random
[tex]P = P(A)*P(B) = \frac{9}{92}*\frac{10}{91} = \frac{9*10}{92*91} = 0.0108[/tex]
0.0108 = 1.08% probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random.
What are the means?
Answer:
either 7 and 21 or 1 and 3 I believe I'm terribly sorry if I'm wrong friend
A small town has about 5000 people. A random sample of 100 people finds that 25 are in
favor of a new park. Estimate the total number out of 5000 who are in favor of the park
Answer:
250
Step-by-step explanation: