A rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'. What is the geometric probability that a model rocket falling randomly on the pad will land in the target?
Answer:
9.6%
Step-by-step explanation:
The probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have a rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.
To get the geometric probability, we must find the area of the rectangle.
Total outcomes = 20' × 25' = 500'
Total favourable outcomes = 6' × 8' = 48'
Probability = 48/500 = 0.096
= 0.096×100 = 9.6%
Thus, the probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.
Learn more about the probability here:
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Find the volume of a pyramid with a square base, where the perimeter of the base is 8.6 cm and the height of the pyramid is 8.1 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer: 12.5 CC
Step-by-step explanation:
V=1/3Bh where B is the area of the base and h is the height
The perimeter of the square base is 8.6 so each side is 2.15 and the area of the base is (2.15)^2 or 4.6225
V=1/3(4.6225)(8.1)=12.5cc
What is this answer
help pls pls hahsjsjdhd
Answer: [tex]\frac{x}{50} > 8[/tex]
Step-by-step explanation:
more than = > not ≥
HELP HELP HELP ILL MARK YOU BRAINLIEST
The answer would be 128z^9.
This is because when you multiply exponents with a variable (z), you keep the base the same (8z and 16z), but you add the exponents together.
A coat has an original price of $48.99. Gloria wants to calculate the final cost of the coat including the 7% sales tax. She could use the expression 0.07 (48.99) + 48.99 to determine the final cost. Which other express could she also use to determine the final cost?
(0.07) ($48.99)
(1.07) ($48.99)
(1.93) ($48.99)
(0.93) ($48.99)
6x2 + 28x - 2 = 2x - 10
Answer:
x = -1/3 or x = -4
Step-by-step explanation:
Answer:
x= [tex]\frac{-1}{3}[/tex]
x= -4
Step-by-step explanation:
[tex]6x^2+28x-2=2x-10[/tex]
Subtract 2x - 10 from both sides.
[tex]6x^2+26x+8=0[/tex]
[tex]x= \frac{ -(26) +/ \sqrt{(26)^2-4(6)(8)} }{2(6)}[/tex]
x= [tex]\frac{-26 +/\sqrt{676-4(6)(8)} }{2(6)}[/tex]
x= [tex]\frac{-26 +/ \sqrt{676-192} }{2(6)}[/tex]
x= [tex]\frac{-26+/\sqrt{484} }{2(6)}[/tex]
x= [tex]\frac{-26+/22}{12}[/tex]
x= [tex]\frac{-26+22}{12}[/tex] = -0.33333333333333 = -1/3
x= [tex]\frac{-26-22}{12}[/tex]= -4
What is the distance between the two points?
A circle is inscribed in a square with a side length of 144. If a point in the square is chosen at random, what is the probability that the point is inside the circle?
Given :
A circle is inscribed in a square with a side length of 144.
So, radius of circle, r = 144/2 = 72 units.
To Find :
The probability that the point is inside the circle.
Solution :
Area of circle,
[tex]A_c = \pi r^2\\\\A_c = 3.14 \times 72^2\ units^2\\\\A_c = 16277.76 \ units^2[/tex]
Area of square,
[tex]A_s = (2r)^2\\\\A_s = ( 2 \times 72)^2\ units^2\\\\A_s = 20736\ units^2[/tex]
Now, probability is given by :
[tex]P = \dfrac{A_c}{A_s}\\\\P = \dfrac{16277.76}{20736}\\\\P = 0.785[/tex]
Therefore, the probability that the point is inside the circle is 0.785 .
10. Jacque is adding a rectangular room on the back of his house. The length will be 5 meters
longer than the width. If the area of the room will be 150 square meters, what are the
dimensions?
Answer:
L = 15 m, b = 10 m
Step-by-step explanation:
Let width of the rectangle be b.
Length = 5+b
The area of the rectangle is 150 sq meters.
The area of rectangle is given by :
A = lb
So,
[tex]150=b(5+b)[/tex]
It is a quadratic equation. The solution of this equation is :
b = -15 m and 10 m
Neglecting -15, the width of the rectangle is 10 m.
Length = 5+10
= 15 m
So, the dimensions of the room are 10 m and 15 m.
Do anyone know this problem?
Answer:
me kown it
Step-by-step explanation:
what is the slope of the line that contains the points (13,2) and (3,-2)
Answer:
⅖
Step-by-step explanation:
please like my answer and brainliest me... hshshshshs
The table shows some ordered pairs that belong to a quadratic function.
Answer:
A. Y ≤ 4.
Step-by-step explanation:
This opens downwards and has a maximum at f(x) = 4.
questions 9 & 10 FAST PLS ITS A TEST! WILL GIVE BRAINLIEST!
Answer:
9: one solution
10: 121
Step-by-step explanation:
Hope that helped!! maybe brainliest?
edit: so sorry 9 is actually two solutions not one
Adele correctly calculates the measure of angle w shown in the figure
Answer: the answer is 40
Step-by-step explanation:
first of all look at the lins and you can see that the lines are the same
(x^10)^2/x4 simplify
Answer:
x^16
Step-by-step explanation:
=> x^20 / x^4
=> x ^ 20-4
=> x^16
Please mark my answer as the brainliest for further answers :)
Samantha ordered lunch at a restaurant in the bill cost $64.21. she wants to leave a 15% tip. how much moeny would she leave for the tip amount
Answer:
9.6315
Step-by-step explanation:
DONT CLICK LINKS THEY ARE TRY TO GET INFO FROM YOU THRY ARE LYING
Answer:
they try to hack you and steal information that others should not know!! always report them.
Step-by-step explanation:
Hello everybody please help me (this is 6th grade math)
Answer:
Look at the image.
Step-by-step explanation:
Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)
30 points
Answer:
hope this helps .keep on learning
Practice Triangle Ratios (Sides) Find the value of c. Round to the nearest tenth!
Answer:
30.67
Step-by-step explanation:
Given the following
Opposite side = x
Adjacent = 17
Angle = 61degrees
Using the SOH CAH TOA identity
tan theta = opp/adj
tan 61 = x/17
x = 17tan61
x = 17(1.8040)
x = 30.67
Hence the value of x is 30.67
WILL CROWN BRAINLIEST!!! ALGEBRA!
Max and Maggie have to clean the house. It takes Max 9 hours to clean the house, while Maggie can complete the task in 4 hours. Their sister says that it will take 3 hours to complete if they work together. Explain each step in solving this equation, and determine if the sister is correct or not.
Answer:
3 hours
Step-by-step explanation:
Max cleans the house in 12 hours
Max in 1 hour cleans: 1/12 part of the house
Maggie cleans the house in 4 hours
Maggie in 1 hour cleans: 1/4 part of the house
In 1 hour they together do: 1/12 + 1/4 = 1+3/12 = 4/12 = 1/3 work
1 hour===1/3 work
X hours== 1 work
X/3 = 1
X = 3 hours.
Hence, they together complete the work in 3 hours.
And so, the sister is correct.
Hope it helps.
3+p=8 what the answer??
Answer: 5
Step-by-step explanation:
Write an equation of the line with a slope of -3 and a y-intercept of 0
Answer:
-3/9=07+90
Step-by-step explanation:
Answer: y = 0x+3 or y = 3
The slope is 0 and the y intercept is 3. So m = 0 and b = 3.
Plug those into y = mx+b to get y = 0x+3, and that simplifies to y = 3.
This graphs out a horizontal line that passes through the two points (0,3) and (1,3).
 Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III
Given:
[tex]\sin x=-\dfrac{15}{17}[/tex]
x lies in the III quadrant.
To find:
The values of [tex]\sin 2x, \cos 2x, \tan 2x [/tex].
Solution:
It is given that x lies in the III quadrant. It means only tan and cot are positive and others are negative.
We know that,
[tex]\sin^2 x+\cos^2 x=1[/tex]
[tex](-\dfrac{15}{17})^2+\cos^2 x=1[/tex]
[tex]\cos^2 x=1-\dfrac{225}{289}[/tex]
[tex]\cos x=\pm\sqrt{\dfrac{289-225}{289}}[/tex]
x lies in the III quadrant. So,
[tex]\cos x=-\sqrt{\dfrac{64}{289}}[/tex]
[tex]\cos x=-\dfrac{8}{17}[/tex]
Now,
[tex]\sin 2x=2\sin x\cos x[/tex]
[tex]\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})[/tex]
[tex]\sin 2x=-\dfrac{240}{289}[/tex]
And,
[tex]\cos 2x=1-2\sin^2x[/tex]
[tex]\cos 2x=1-2(-\dfrac{15}{17})^2[/tex]
[tex]\cos 2x=1-2(\dfrac{225}{289})[/tex]
[tex]\cos 2x=\dfrac{289-450}{289}[/tex]
[tex]\cos 2x=-\dfrac{161}{289}[/tex]
We know that,
[tex]\tan 2x=\dfrac{\sin 2x}{\cos 2x}[/tex]
[tex]\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}[/tex]
[tex]\tan 2x=\dfrac{240}{161}[/tex]
Therefore, the required values are [tex]\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}[/tex].
PLEASE HELP ME!! I WILL GIVE BRAINLIEST. ITS DUE IN AN HOUR
Answer:
p-3=8.25
p=11.25
Answer:
p - 3 = 8.25 and 11.25
Step-by-step explanation:
hi there!
the question is asking us to first find out which equation we can use to solve this wordy problem.
its not going to be answers 1 or 3 since they are adding/ multiplying more on to our wooden plank, when the question is stating that we are subtracting 3 inches off.
knowing that now, our answer is p - 3 = 8.25 or 4 !
now all we have to do is add 3 to 8.25 to get our answer of how long the plank was before we cut it
3 + 8.25
= 11.25
p = 11.25 <---------------- our final answer!
i hope this helped you! i hope you have a good rest of your day :)
( im sorry if this this late!! )
slope between the points (5, 1) and (7,
-9)
Answer:
Slope : 5x
Step-by-step explanation:
Dada la recta r espacio dos puntos espacio fracción numerador x menos 1 entre denominador 1 fin fracción igual fracción numerador y menos 5 entre denominador menos 3 fin fracción, halla una recta s, paralela a r, y una recta t, perpendicular a r, ambas que pasen por el punto A (-3,1).
Answer:
creo que si
Step-by-step explanation:
primero hacemos lo primero
y luego lo segundo
PLEASE HELP I WILL GIVE BRAINLIEST ACTUALLY PLEASE HELP
Answer:
$60
Step-by-step explanation:
Jeff wants to know how many miles it is from his house to school. On a map the distance is 3 inches. If the scale is 1/2 inch for every 2 miles, how many miles is it to his school?
Answer:
12 miles
Step-by-step explanation:
1/2 inch per 2 miles
3 inches away
3 ÷ 1/2 = 6
6 * 2 = 12