Answer:
B. 143.4 [tex]\text{mi} ^2[/tex]
Step-by-step explanation:
In simple terms, surface area = adding area of all surfaces
This figure has 6 sides.
Surface area = 2 * area of trapezium + 2* area rectangle + area of bottom rectangle + area top rectangle
Surface area = 2 * ([tex](\frac{a+b}{2}) * h + 2* (l*w) + l*w + l*w[/tex])
= [tex]2 * (\frac{3+6}{2} * 2.6) + 2* (8*3) + 3*8 + 8*6[/tex]
= [tex]2 * 11.7 + 2* 24 + 24 + 48[/tex]
= 143.4 [tex]\text{mi}^{2}[/tex]
Let me know if you need further explanation
Select the following statement that describes overlapping events.
A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond
B. Amanda rolls a three when she needed to roll an even number
C. Amanda understands that she cannot get a black diamond when playing poker
D. Amanda wants a black card so she can have a winning hand, and she receive the two of hearts
Answer:
Step-by-step explanation:
Having a jack and also having a diamond, satisfies two sets in a Venn diagram. An overlapping set is the intersection of the two. So A is the only one that can be in an intersection of these two sets.
The statement from the given choices that describes an overlapping event is A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond.
What are overlapping events in probability?Events that share one or more outcomes are said to be overlapping events.
How to solve the question?In the question, we are asked for the statements from the given options that describe overlapping events.
To check for overlapping events, we analyze each option as follows:-
A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond. The receiving of a jack of diamond shows an overlapping event, with the overlapping of the events of getting a jack and getting a diamond.B. Amanda rolls a three when she needed to roll an even number. The rolling of a three when the requirement was to roll an even number doesn't show an overlapping event as three doesn't fall in even numbers.C. Amanda understands that she cannot get a black diamond when playing poker. The event of getting a black diamond is not overlapping as black cards are spades and clubs, and not diamonds.D. Amanda wants a black card so she can have a winning hand, and she receives the two of hearts. The event of receiving two of hearts when the requirement was of a black card is not an overlapping event as two of hearts is not a black card.Thus, the statement from the given choices that describes an overlapping event is A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond.
Learn more about overlapping events at
https://brainly.com/question/17253921
#SPJ2
brainiest to whoever right.
Answer:
The problems listed are all the formulas for 2d figures:
Area of a Triangle: 1/2 B*H
Area of a Square: S^2
Area of a Rectangle: l*w
Perimeter of a Square: 4s
Perimeter of a Triangle: a+b+c
Perimeter of a Rectangle: 2l+2w
Solve for r: 3r+2-r=-4
Answer:
r = -3
Step-by-step explanation:
3r + 2 - r = -4
2r + 2 = -4
2r = -6
r = -3
Answer:
r = -3
Step-by-step explanation:
3r + 2 - r = -4 (Given)
2r + 2 = -4 (Simplify)
2r + 2 - 2 = -4 - 2 (Subtract 2 on both sides)
2r = -6 (Simplify)
2r/2 = -6/2 (Divide 2 on both sides)
r = -3 (Simplify)
A CD with a diameter of 120 millimeters rotates a rate of 45 revolutions per minute. Find the linear speed of the CD in millimeters per minute. And find the angular speed of the CD in radians per minute
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Answer:
16,965 mm/min90π ≈ 282.7 radians/minStep-by-step explanation:
The circumference of the CD is ...
C = πd
C = π(120 mm) ≈ 376.99 mm
This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:
(376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min
__
There are 2π radians in each revolution, so the angular speed is ...
(2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min
Find the area of this triangle.
8 m
14 m
A = [?] m2
Answer:
A = 56 m^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
A = 12 (14)(8)
A = 56 m^2
plz help me do this thanks
The formula d=rt is used to calculate the distance traveled by an object moving at a constant average speed during an elapsed time . How long would it take a pilot to fly 1240 miles at an average speed of 220 mph?
Answer:
Approx 5.64 hours
Step-by-step explanation:
d=rt
t=d/r
To find the time, divide distance by velocity
1240 / 220 = approx 5.64 hours
Please and thank you and show work this question is a big chunk of my final grade
Answer:
9
Step-by-step explanation:
The trinomial square have the following form:
(a - b)²
Expanding this, the result is:
a² -2ab +b²
So, let's put x in place of a and solve it:
x² -2•x•b + b²
Now, we know that initially -2•x•b was -6x in the given trinomial square, so let's find the value of b using an equation:
-2x•b = -6x divide both sides by -2x:
b = -3
So -3 complete our trinomial square, and it is:
(x -3)²
Expanding:
x² -6x +9
The product of 2 more than 5 times a number and 4 less than three times a number
Sorry I'm not sure if I'm right just my thinking...
set the number to be x so that (5x+2)(3x-4)??
The arithmetic mean of ten numbers is 36. if one of the numbers is 18,What is the mean of the other nine?
My answer is in the picture
Point V is on line segment UW. Given VW = 5x - 4, UV = 2x, and UW = 5x, determine the numerical length of VW
Answer:
VW = 6
Step-by-step explanation:
To find x, set up the following equation:
(5x - 4) + (2x) = 5x
Solve out left side
7x - 4 = 5x
Subtract 5x from both sides
2x - 4 = 0
Add 4 to both sides
2x = 4
Divide both sides by 2
x = 2
Plug into 5x - 4
5(2) - 4
10 - 4
6
Answer:
6
Step-by-step explanation:
5x - 4 + 2x = 5x
7x - 4 = 5x
-4 = -2x
2 = x
5(2) - 4
10 - 4
6
What is the sum of -14
and -15?
Answer:
-29
Step-by-step explanation:
(-14) + (-15) =
-14 - 15 =
-29
Solve for x in the equation below.
-3x + 2 = -7
Answer:3
Step-by-step explanation:
-3x+2=-7
subtract 2 from both sides
-3x+2-2-(-7-2
simplify the arithmetic
-3x=-7-2
simplify the arithmetic aging
-3x=-9
=3
Find the area and the circumference of a circle with radius 7 ft.
Answer:
Area is 307.72 ft^2
Circumference is 43.96 ft
Step-by-step explanation:
Area is 2pir^2
Circumference is 2rpi
pi is about 3.14
A=2pi(7)^2
A= 98pi which is about 307.72 ft^2
C= 2(7)pi
C= 14pi which is about 43.96 ft
(I'm not sure whether they want the answer left in terms of pi or not)
Identify the equation of the circle that has its center at (9, 12) and passes through the origin.
Answer: [tex](x-9)^2 + (y-12)^2 = 225\\\\[/tex]
This is the same as writing (x-9)^2 + (x-12)^2 = 225
========================================================
Explanation:
Any circle equation fits the template of [tex](x-h)^2 + (y-k)^2 = r^2\\\\[/tex]
The center is (9,12) which tells us the values of h and k in that exact order.
h = 9
k = 12
To find the radius r, we need to find the distance from the center (9,12) to a point on the circle. The only point we know on the circle is the origin (0,0).
Apply the distance formula to find the distance from (9,12) to (0,0)
[tex]d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (9-0)^2+(12-0)^2}\\\\d = \sqrt{ (9)^2+(12)^2}\\\\d = \sqrt{ 81+144}\\\\d = \sqrt{ 225}\\\\d = 15\\\\[/tex]
The distance from (9,12) to (0,0) is 15 units. Therefore, r = 15
An alternative to finding this r value is to apply the pythagorean theorem. The distance formula is effectively a modified version of the pythagorean theorem.
---------------------
Since h = 9, k = 12 and r = 15, we can then say:
[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-9)^2 + (y-12)^2 = 15^2\\\\(x-9)^2 + (y-12)^2 = 225\\\\[/tex]
which is the equation of this circle.
what fraction of the Earth's surface would be covered by the surface of the moon,if the radius of the Earth is 6,378km and the radius of the moon is 1.741km?
Answer:
3031081 / 40678884
Step-by-step explanation:
To solve this, we can find the surface area of the moon and Earth, and then see how much the moon covers the Earth. The surface area of a sphere is equal to 4πr², so the radius of the Earth is
4πr² = 4 * π * 6378²
and the radius of the moon is
4πr² = 4 * π * 1741²
To figure out how much of the Earth's surface that the moon covers, we can implement a ratio of moons:Earth. This will give us an understanding of how many moons go inside one Earth. We thus have
(4 * π * 1741²) : ( 4 * π * 6378²) = (4 * π * 1741²) / ( 4 * π * 6378²)
cross out the 4 * π in the numerator and denominator
1741²/6378²
Next, we want to make the denominator 1, as that gives us 1 Earth. To do this, we can divide both the numerator and denominator by 6378². Because we are applying the same expression to both the numerator and denominator, this is essentially multiplying the fraction by 1, keeping it the same. We thus have
(1741²/6378²)/(6378²/6378²)
≈0.0745/1
≈ 0.0745
To put this in a fraction, we would have
(1741²/6378²)/1
= (1741²/6378²)
= 3031081 / 40678884
put the bracket in the correct place
10-3x4-2+1=5
Answer:
10-(3×4)-2+1=5
10-12-3=5
10-15=5
10=5+15
10=20
20-10
10
Answer:
[10 - 3 × (4-2)] +1= 5
.......
The density d kg/m3 of a cube of mass m kilograms and side length x meters is given by the formula:  What is the value of d if m = 40 and x = 0.2?
Answer:
5000kg/m3
Step-by-step explanation:
Its easy to get the answer of a question from the unit.
So, it will be mass over metre cube.
Therefore, m=40kg x= (0. 2)^3 =0. 008m
40/0. 008 = 5000kg/m^3
2.
It takes Troy 3 hours to mow his family's large lawn. With his little brother's help, he can
finish the job in only 2 hours. How long would it take the little brother to mow the entire
lawn alone ?
(A) 4 hr
(B) 5 hr
(C) 5.5 hr
(D) 6 hr
(E) 6.75 hr
Answer:
It takes four hours because the little bro is alone and only one lawn mower is used
I =∫▒dx/(x^2 √(x^2+4))
It took Emma 3/4 hour to rake the leaves. It took her 1/5 hour more to
weed the garden than it took to rake the leaves. It took her 0.2 hour
more to mow the lawn than it took to weed the garden. Discuss a
strategy you can use to find the answer. Then determine how long it
took her to do all three chores.
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Answer:
total: 2.85 hours = 2 17/20 hours
Step-by-step explanation:
Strategy: convert all fractions to decimals, determine weeding and mowing times, and add the three times to find the total.
3/4 = 0.75
1/5 = 0.2
Solution:
raking time: 0.75 hours
weeding time: 0.75 +0.2 = 0.95 hours
mowing time: 0.95 +0.2 = 1.15 hours
__
Total time: 0.75 +0.95 +1.15 = 2.85 hours = 2 17/20 hours
_____
Additional comment
You may recognize that 0.95 is the middle of three equally-spaced values. Then the total will be 3×0.95 = 2.85 hours.
which of these is right
Answer:
A
Step-by-step explanation:
For each point along it goes 1 point up, if it was 4x it'd go 4 points up
Simplify: a(3+5a)-4(a2+5)
Answer:
[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]
Step-by-step explanation:
We want to simplify the expression:
[tex]a( 3 + 5a) - 4(a^2 +5)[/tex]
Distribute:
[tex]\displaystyle = (3a + 5a^2) + ( -4a^2 - 20)[/tex]
Rearrange:
[tex]\displaystyle = (5a^2 - 4a^2) + (3a) + (-20)[/tex]
Combine like terms:
[tex]\displaystyle = a^2 + 3a -20[/tex]
In conclusion:
[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]
PLssssssss helppppppppppppppppppppppp
Answer:
6 ft
Step-by-step explanation:
Find the midpoint M of the two sets of points
x(9,5) Y(-2, 3)
Answer:
(3.5,4)
Step-by-step explanation:
add and divide by 2
(7,8)
(3.5,4)
plsss mark me brainliesttttt
Which set of ordered pairs represents a function?
{(5, -8), (8,-1), (8,7), (-4,2)}
{(-9,-9), (7, -9), (-7, -7), (9,-8)}
{(4,7), (-7,-4), (6,8), (-7,6)}
{(0,8), (-7,2), (4, -9), (4, -3)}
Answer: The second one
Step-by-step explanation:
That's the only set where there is only one output for every input.
-(7-4x)=9
can somebody help me with this, and if you could, can you show work?
Answer:
x=4
Step-by-step explanation:
Simplifying
-1(7 + -4x) = 9
(7 * -1 + -4x * -1) = 9
(-7 + 4x) = 9
Solving
-7 + 4x = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 4x = 9 + 7
Combine like terms: -7 + 7 = 0
0 + 4x = 9 + 7
4x = 9 + 7
Combine like terms: 9 + 7 = 16
4x = 16
Divide each side by '4'.
x = 4
Answer:
x = 4
Step-by-step explanation:
-(7 - 4x) = 9 (Given)
-7 + 4x = 9 (Distributed)
-7 + 4x + 7 = 9 + 7 (Add 7 on both sides)
4x = 16 (Simplify)
4x/4 = 16/4 (Divide 4 on both sides)
x = 4 (Simplify)
what is the common factor [tex]4x^{2} -18x[/tex]
Answer:
2x(2x-9)
Step-by-step explanation:
2x is the factor.
Which expression can be used to find the slope of a line containing the points (–3, 2) and (7, –1)?
A. (Image 092552)
B. (Image 092607)
C. (Image 092618
D. (Image 092630)
Answer:
C. (Image 092618
Step-by-step explanation:
[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1} } [/tex]
y1 is 2
y2 is -1
x1 is -3
x2 is 7
substitute:
[tex]slope = \frac{ - 1 - 2}{7 - ( - 3)} [/tex]
What is one root of this equation?
2x^-4x+9=0
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Answer:
1 +i√3.5
Step-by-step explanation:
In vertex form, the equation is ...
2(x² -2x +1) +7 = 0
2(x -1)² +7 = 0
Then the solutions are ...
(x -1)² = -7/2
x = 1 ±i√3.5
One solution is 1+i√3.5.