Answer: 144 meters
Step-by-step explanation: area of circle = r^2
6^2 = 36 = 144 Meters given = 4
radius of pool is 6 meters
diameter of pool is 12 meters
= 4
area of circle = r^2
area of swimming pool is 144 meters
Find the area of the figure below
The height of a triangle is 2 yards greater than the base. The area of the triangle is 60 square yards.
Answer:
Step-by-step explanation:
h=b+2(assume h is hieght and b is base)
b*(b+2)=60
bb+2b=60
b=-1+√61
h=1+√61
Answer:
base=10
height=12
Step-by-step explanation:
Area of triangle formula is given by: A = (1/2)*b*h
where b: base of the triangle
h: height of the triangle
Given that: h=b+2
A= 60 square yards
Solution:
60= (1/2)*b*(b+2)
[tex]\frac{b(b+2)}{2}[/tex] = 60
b²+2b=120
b²+2b-120=0
We got the quadratic equation: b²+2b-120=0
solve it to find b:
Let x: coefficient of b² (x=1)
Let y: coefficient of b (y=2)
Let z: constant (z= -120)
discriminant= y² - 4xz = 4 - 4(1)(-120) = 484
discriminant>0 so the equation has two roots:
b1= (-y-redical discriminant)/2x = (-2-redical(484))/2 = -12
b2= (-y+redical discriminant)/2x = (-2+redical(484))/2 = 10
b1= -12 is rejected because the base can't be negative
So b2=base=10
Now that we found the base, substitute to get the height:
h= b+2 = 10+2 =12
So height=12
A car with an initial value of $20,000 is purchased. The value of the car
depreciates (decreases) at a rate of 20% per year. Which equation(s) from
the list below correctly represents the value of the car over time, with
t
Answer:
Second and third one
Step-by-step explanation:
2 nd and third one ( are the same equation)
You invest $6000 in a savings account drawing 5.25% interest annually. How much will be in the account in 15 years? ( round to the nearest cent (2 decimal places) )
Answer:
$ 12 926.56
Step-by-step explanation:
If compounded annually:
FV = 6000 ( 1 + .0525)^15 =
how many times larger is 8×10^9 than 2×10^7
Answer:
It is larger by [tex]4*10^2[/tex] times
Step-by-step explanation:
You use exponential division for this problem
first, divide 8 by 2
8/2 = 4
Then, look at 10^9 and 10^7
The bases of those numbers are the same, so you can just subtract the exponents since you're dividing.
[tex]10^9 / 10^7 = 10^{9-7} = 10^2[/tex]
Combine those two together to get:
4 * 10^2
Which of the following is always true of a dependent system of two equations?
The lines are perpendicular.
One of the lines has a positive slope and the other has a negative slope.
The lines intersect at exactly one point.
There are infinitely many solutions.
The only solution that is true about the dependent system of equations is "There are infinitely many solutions".
What is a System of equations?Inconsistent System
For a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of equations to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.
As discussed above the Dependent consistent system has infinitely many solutions as their line are coinciding, therefore, the only solution that is true about the dependent system of equations is "There are infinitely many solutions".
Learn more about the System of equations:
https://brainly.com/question/12895249
#SPJ1
For n = 10 and π = 0.68, what is P(X= 3)?
Given the equation that’s uploaded below!
Please help!!!!!
Answer:
0.01296 to 5 decimal places.
Step-by-step explanation:
P(3) = 10! / 3! 7! * (0.68)^3 (1 - 0.68)^(10-3)
= 120 * (0.68)^3 * (0.32)^7
= 120 * 0.314432 * 0.00034359738
= 0.01296456
Properties ar
Expressions
Question 5 of 10
Which algebraic expression is a product with a factor of 5?
A. 5(y-6)
B. -2y+ 5+ 3
O C. 5y - 7
D. 3y + 1
For this case we have the following expression:
[tex]5(y-6)[/tex]
We observe that the number 5 is a common factor of both terms within the parenthesis.
To prove it, we can apply the distributive property.
We have then:
[tex]5y-30[/tex]
We observe then that 5 is a common factor of the given expression.
Answer:
An algebraic expression that is a product with a factor of 5 is:
A) 5 (y-6)
Help this is urgent!!
Answer:
5mm
Step-by-step explanation:
Because, the radius is: It is the line between any point on the circle and the midpoint of the circle..
Help With This ASAP EXPLAIN !
Answer:
y=5
x=31
Step-by-step explanation:
5y=25
y=5
25+25+10x=360
50+10x=360
x=31
an object moves at a constant rate along a circular path with a radius 10 inches and makes 3 revolutions in 2 seconds.What is the linear velocity,in inches per second,of a point on the edge of the wheel
radius= 10 inches
3 revolutions in 2 seconds.
to find:the linear velocity.
solution:[tex]2\pi \: r = 2 \times \pi \times 10[/tex]
[tex] = 62.85inches[/tex]
[tex](3 \times 62.85)[/tex]
[tex] = 188.57[/tex]
[tex] \frac{188.87}{2} [/tex]
[tex] = 94.28[/tex]
hence, the linear velocity of the object is 94.28 in/s.
what are the coordinates of point p
Answer:
( 2, 60 )
Step-by-step explanation:
→ Read along the x - axis and then the y axis
At a local market two pounds of peaches cost $4.50
Answer:
$2.25 per lb
Step-by-step explanation:
x = 4.50/2
x = $2.25 per lb
Find the value for cos B=
Answer:
12/5 is the answer of your questions
thank you!!
Can someone explain why this equation equals 2?
Answer:
bc it dose
Step-by-step explanation:
What's the circumference of a circle with a radius of 7 feet? Use 3.14 for pie
radius= 7 ft
to find:the circumference of the circle.
solution:[tex]c = 2\pi \: r[/tex]
[tex]c = 2 \times \pi \times 7[/tex]
[tex]c = 43.9823[/tex]
[tex]c = 43.98 \: ft[/tex]
therefore, the circumference of the circle is 43.98 ft
Look at the triangle:
What is the value of cos x?
8 divided by 17
17 divided by 8
15 divided by 17
8 divided by 15
Answer:
3rd option
Step-by-step explanation:
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{15}{17}[/tex]
How does an author communicate the characters’ perspective? I WILL GIVE BRAINLYIST AND 100 POINTS
They do through following ways
They use he/she like third person pronouns instead of I/we first persons They locate only one kinds of pronoun for same person throughout the whole literature of their creation inorder to make it easier and realistic.Sometimes they use fictional stories in as part of story
Which expression could be used to determine the area of the shaded figure?
how do I solve y-6=x-12
Answer:
x = 6
Step-by-step explanation:
Step 1. Rewrite in the form of y=mx+b
Step 2. Set y = 0 and solve for x
y - 6 = x - 12
y = x - 12 + 6
y = x - 6
0 = x - 6
6 = x
BRAINLIEST please if this helped!Answer:
y = x - 6
x = y + 6
Step-by-step explanation:
For y:
y - 6 = x - 12
y = x - 12 + 6
y = x - 6
For x:
y - 6 = x - 12
y - 6 + 12 = x
y + 6 = x
_______
Hope it helps ⚜
Sorry if its blurry picture was taken on a computer
Answer:
117/108
Step-by-step explanation:
First, let's find the area of the shaded parts. Since the shaded squares and triangles are the same size, then all shaded squares have sides 3 in. by 3 in. because the shaded square in the middle has sides 3 in. by 3 in.
We can also see that the shaded triangles have legs 6 in. and 6 in. because one of the shaded triangles in the figure are labeled 6 in by 6 in.
Now we can find the area of the shaded square and triangle (area of a square is side^2 while the area of a triangle is base*height/2).
Shaded Square Area: 3^2 = 9 in^2
Shaded Triangle Area: 6*6/2 = 18 in^2
There are 5 shaded squares and 4 shaded triangles, so we can determine the shaded area now:
Shaded Area: 9*5 + 18*4 = 45 + 72 = 117 in^2
Now we need to find the area of the white rectangles and the area of the white triangles. We can see that the sides of the white rectangles are 6 in. and 3 in. We can also see that the sides of the white triangles are 3 in and 3 in.
Now we can find the area of the white rectangle and the white triangle.
White Triangle Area: 3*3/2 = 9/2 = 4.5 in^2
White Rectangle Area: 3*6 = 18 in^2
There are 4 white rectangles and 8 white triangles, so we can determine the white area now:
White Area: 4*18 + 8*4.5 = 72 + 36 = 108 in^2
The ratio of the area of the shaded pieces to the area of the white pieces is 117/108.
Triangle ABC has < A ≅ < B and BC ≅ AC. Find m
there is no drawing how should I do
Dose anyone know Itchin and scratching is for the blanks? Please
Answer:
Look up the website for those answers, I've gotten those type of worksheets before.
Step-by-step explanation:
There should be a pdf or document of the answers and if you can't find it I'll help you!
Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 56 miles per hour. Then, in the second hour, she traveled at a speed of 72 miles per hour. What is the percentage increase of Seraphina's speed? If necessary, round to the nearest tenth of a percent.
Answer
128
Step-by-step explanation:
72+56=128
You are welcome
What would happen if you put a digit in the wrong place value of a specific number
Find and interpret the mean absolute deviation of the data. 8,12,4,3,14,1,9,13
pleaseeee answer I really need help and I will fail math if I don't have an answer!
Answer:
8
Step-by-step explanation:
8+12+4+3+14+1+9+13=64, 64/8=8
Answer:
44.6
Step-by-step explanation:
First, to answer this question, we need to find the mean of this data set. When finding the mean, you use the same process you use when averaging.
So we would do: 8 + 12 + 4 + 3 + 14 + 1 + 9 + 13/8
Our new fraction turns into 64/8, which we can then divide to give us 52.625. We can round up our new number to give us 52.6
We now need to find the absolute value of the difference between each data value and mean. In simple terms, we use the answer we got from our fraction and subtract it from each number in our cluster of numbers/data set. Keep in mind when subtracting you will get some negative numbers, but in this scenario we take away any negative sings, so we don't end up with any negative numbers.
8 - 52.6 = -44.6 = 44.6
12 - 52.6 = -40.6 = 40.6
4 - 52.6 = -48.6 = 48.6
3 - 52.6 = -49.6 = 49.6
14 - 52.6 = -38.6 = 38.6
1 - 52.6 = -51.6 = 51.6
9 - 52.6 = -43.6 = 43.6
13 - 52.6 = -39.6 = 39.6
Finally, we need to to the same process we used in our first step, just use the new numbers we have instead of our old numbers.
This gives us 356.8/8, which when divided, will leave us with 44.6.
Therefore, our answer is 44.6
The sail on a boat is triangular and its area is 216 feet. If the length of the base of the sail is 18 feet, find its
height.
Answer:
24
Step-by-step explanation:
Use the triangle area formula: A=1/2 (base)(height)
Plug in what we know: 216=1/2(18)(h)
Solve for h: (1/2)(18)=9.
216/9=24.
So, h=24
To check, plug it into the formula: 1/2(18)(24)= 216
If an object is thrown upward from a 100-foot-high platform with an initial velocity of 64 feet
per second, then its height in feet is given by h(t) = -16t2 + 64t + 100 where t is time in
seconds. What is the maximum height reached by the object?
Answer:
164 ft
Step-by-step explanation:
The TIME of maximum height (this is a dome shaped parabola)
will be given by t = -b/2a = - 64 / (2)(-16) = 2 sec
Putting in t = 2 into the equation will give the max height
-16 (2^2) + 64(2) + 100 = max = 164 ft
please help solveeeeee
Answer:
The answer is C and D.
Step-by-step explanation:
(-4)^1/2 = undefined
(-16)^1/4 = undefined
(-32)^1/5 = -2
(-8)^1/3 = -2
Determine the equations of two lines that pass through the point (-1,-3) and are tangent
to the graph of y=x² +1.
Answer:
Given equation: [tex]y=x^2+1[/tex]
Therefore, we can say that any point on the curve has the coordinates [tex](a, a^2+1)[/tex] (where a is any constant)
To find the gradient of the tangent to the curve at any given point, differentiate the equation.
Given equation:
[tex]y=x^2+1[/tex]
[tex]\implies \dfrac{dy}{dx}=2x[/tex]
Therefore, the gradient at point [tex](a, a^2+1)[/tex] is [tex]2a[/tex]
Using the point-slope form of linear equation, we can create a general equation of the tangent at point [tex](a, a^2+1)[/tex]:
[tex]\begin{aligned}y-y_1 & =m(x-x_1)\\ \implies y-(a^2+1)& =2a(x-a)\end{aligned}[/tex]
[tex]\implies y=2ax-2a^2+a^2+1[/tex]
[tex]\implies y=2ax-a^2+1[/tex]
Given that the tangents pass through point (-1, -3), input this into the general equation of the tangent:
[tex]\begin{aligned}y &=2ax-a^2+1\\ \implies -3 & =2a(-1)-a^2+1\end{aligned}[/tex]
[tex]\implies 0=-2a-a^2+1+3[/tex]
[tex]\implies a^2+2a-4=0[/tex]
Use the quadratic formula to solve for a:
[tex]\implies a=\dfrac{-2\pm\sqrt{2^2-4(1)(-4)}}{2(1)}[/tex]
[tex]\implies a=\dfrac{-2\pm2\sqrt{5}}{2}[/tex]
[tex]\implies a=-1 \pm \sqrt{5}[/tex]
Input the found values of a into the general equation of the tangent to create the equations of the two lines:
[tex]\begin{aligned}a=-1+\sqrt{5}\implies y & =2(-1+\sqrt{5})x-(-1+\sqrt{5})^2+1\\ y & =(-2+2\sqrt{5})x-(6-2\sqrt{5})+1\\ y & =(-2+2\sqrt{5})x+2\sqrt{5}-5 \end{aligned}[/tex]
[tex]\begin{aligned}a=-1-\sqrt{5}\implies y & =2(-1-\sqrt{5})x-(-1-\sqrt{5})^2+1\\ y & =(-2-2\sqrt{5})x-(6+2\sqrt{5})+1\\ y & =(-2-2\sqrt{5})x-2\sqrt{5}-5 \end{aligned}[/tex]
Therefore, the equations of the two lines that pass through the point (-1, -3) and are tangent to the graph of [tex]y=x^2+1[/tex] are:
[tex]y=(-2+2\sqrt{5})x+2\sqrt{5}-5[/tex]
[tex]y=(-2-2\sqrt{5})x-2\sqrt{5}-5[/tex]