Answer:
8,5 feet
Step-by-step explanation:
The equation of the form
x² + y² = (r)²
Is the equation of the circumference
We have for the pool:
x² + y² = 2500 ⇒ x² + y² = (50)²
And for the outside edge of the footpath
x² + y² = 3422,25 ⇒ x² + y² = (58,5)²
So we obtain the radius of each circumference
For the outside edge of the pool r₁ = 50 feet
For the outside edge of the footpath r₂ = 58,5 feet
Then the width of the footpath is 58,5 - 50 = 8,5 feet
In the coordinate plane, point C lies on segment AB. If the ratio of the length of segment AC to the length of segment CB is 3:1, find the x-coordinate of C given the coordinates of A(3, 12) and B (14, 17).
Question 14 options:
A. 11.25
B. 6
C. 5.75
D. 12
Answer:
A. 11.25
Step-by-step explanation:
If point C(x, y) divides line segment AB with end points at A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2\\[/tex]) in the ratio on n:m, then the coordinates of point C is:
[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]
Given that segment AB is divided by point C in the ratio of 3:1. Given A(3, 12) and B (14, 17). Let coordinate of C be (x, y), hence:
[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1\\\\x=\frac{3}{3+1}(14-3)+3=\frac{3}{4}(11)+3=11.25 \\\\\\y=\frac{n}{n+m}(y_2-y_1)+y_1\\\\y=\frac{3}{3+1}(17-12)+12=\frac{3}{4}(5)+12=15.75[/tex]
Therefore, the coordinate of point C = (11.25, 15.75)
The x coordinate of point C is 11.25
PLS HURRY I ONLY HAVE 15mins LEFT WORTH 100 POINTS AND BRAINLEST
Which inequalities have the solution set graphed on the number line? Select two options. A number line going from negative 6 to positive 2. An open circle is at negative 4. Everything to the left of the line is shaded. x less-than negative 4 Negative 4 less-than x Negative 4 less-than-or-equal-to x Negative 4 greater-than x x greater-than negative 4
this is the correct answer
Suppose you slice through a square pyramid such that the plane is parallel to the base and halfway up the total height of the pyramid. How does the side length of the cross section compare to the side length of the base?
Answer:
they re equal their for you can divide
Step-by-step explanation:
NEED HELP WILL BRAINLIST AND 10 points
Answer:
-4, -2, 6, 10, 12
Step-by-step explanation:
The function is h(x) = 2x + 4. H(x) is basically just another way of writing "y", so we technically have y = 2x + 4. We can complete the table by substituting the value of x that the table gives us.
The table gives us x = -4 and wants us to find h(x), or y. So, we do y = 2(-4) + 4 and we get y = -4.
The table gives us x = -3 so we do y = 2(-3) + 4 and we get y = -2.
The table gives us x = 1 so we do y = 2(1) + 4 and we get y = 6.
The table gives us x = 3 so we do y = 2(3) + 4 and we get y = 10.
The table gives us x = 4 so we do y = 2(4) + 4 and we get y = 12.
pls help me out here! ty in advance!!
Answer:
the value for x=50
Step-by-step explanation:
180=74+56+x
180=130+x
x=50
a line has a slope of 8 and includes the points (7,y) and (5,-7) no link plz
Answer: y = 9
Step-by-step explanation:
an equation of y=8x-47 will let the line pass through the point (5,-7) and the point (7,9)
i used the desmos graphing calculator website to graph it
4x − 4
10x − 20
×
15x + 15
3x − 3
×
6x − 12
20x + 20.
Answer:
what is the question dudd
No links need help ASAP
Answer:
4, 2
Step-by-step explanation:
The formulas for 180 clockwise and counterclockwise wise is -x,-y since both of them are negative they would become positive because -x * -x = + same with y.
Answer: (4, 2)
Step-by-step explanation:
If you start by moving it 45 degrees counter clockwise, it will end up as
(4, -2). Then you move it one more time counter clockwise 45 degrees. T would be at (4, 2)
A Farmer plants the same amount everyday, adding up to 1 3/4 acres at the end of the year. If the year is 1/2 over how many acres has the farmer planted?
Answer:
1/45 acres the farmer planted
there is a lot of poins pleas help meee
Answer:
46mi
Step-by-step explanation:
Its right. Sorry need the points.
question below , vvvvv
Answer:
5 + 2x = 5x + 4
-2x -2x
5 = 3x + 4
-4 -4
1 = 3x
Divide by 3 on both sides.
1/3 = x
Find the area please :)
Answer:
it's area is 1/2 b×h
1/2×7×3.8
13.3
Answer:
13.3 ft^2
Step-by-step explanation:
area = base x h / 2
A = 7 x 3.8 / 2
A = 26.6 / 2
A = 13.3 ft^2
Mrs. Williams uses the following recipe for crispy rice treats. She decides to make 2/3 of the recipe. Recipe: 2 cups melted butter, 24 oz marshmallows 13 cups rice crispy cereal. How much of each ingredient will she need? Write an expression that includes multiplication
YOOO PLEASE HELPPPP!!!!
Given:
Base length of triangle = 40 units
Height of triangle = 9 units
Length of hypotenuse of triangle = 41 units
To find:
Find the value of Tan A
Steps:
Tan of an angle is equal to the opposite length by adjacent length.
So,
Tan A = [tex]\frac{opposite}{adjacent}[/tex]
Tan A = [tex]\frac{9}{40}[/tex]
Tan A = 0.225
Therefore, the exact value of Tan A is 0.225.
Happy to help :)
If you need any help, feel free to ask
HEEEEELLLPPPPPPP!!!!!!!!!!!!!
Answer:
E. b + u = 21
Step-by-step explanation:
b = (bicycles)
u = (unicycles)
The Question gives you the answer.
" the number of bicycles plus the number of unicycles is 21"
*put as an equation*
b + u = 21
<3 Enjoy,
Dea
Solve the equation 5x - 8 = 9
Helpppp pleaseeee
Answer:
x= 17/5
Step-by-step explanation:
Answer:
17/5
Step-by-step explanation:
hope this helps with the work
SOMEONE HELP ME GET THIS ANSWER!
Find the balance of a savings account at the end of years if the interest earned each year is . %. The principal is $. what is it please?
Answer:
You can use the time value of money formula.
FV = PV(1 + r)^n
FV = future value
PV = present value
r = interest rate = percentage/100
n = number of compounding periods
FV = 500*(1 + 0.075)^10 = $ 1030.52
The Tennis Club decided to buy T-shirts for its members. Action Sports Apparel quoted the following prices for the T-shirts.
Number of T-Shirts Total Cost (dollar)
11 153
16 213
21 273
Which equation best describes the relationship between the total cost, c(t), and the number of T-shirts, t?
A.
c(t) = 12 + 12t
B.
c(t) = 21t
C.
c(t) = 21 + 12t
D.
c(t) = 132t
Answer:
C. c(t) = 21 + 12t
Step-by-step explanation:
The point (-3, 1) is onlthe terminal side of angle O, in standard position. What are
the values of sine, cosine, and tangent of O? Make sure to show all work.
Answer:
cos(θ) = -3/√10
sin(θ) = 1/√10
tan(θ) = -1/3
Step-by-step explanation:
When we have a point (x, y), the angle generated between the positive x-axis and a ray that connects the origin and the point, is defined by:
cos(θ) = x/(√(x^2 + y^2))
sin(θ) = y/(√(x^2 + y^2))
tan(θ) = y/x
Now we have the point (-3, 1), then we have:
x = -3
y = 1
√(x^2 + y^2) = √((-3)^2 + 1^2) = √10
Then we just need to replace these values in the given formulas:
cos(θ) = x/(√(x^2 + y^2)) = -3/√10
sin(θ) = y/(√(x^2 + y^2)) = 1/√10
tan(θ) = y/x = 1/-3 = -1/3
What is x? Please try and show work. ANSWER ASAP! SCAM ANSWERS WILL BE REPORTED. Will award brainliest for correct answer!
Answer:
x=6
Step-by-step explanation:
Kindly look at the image provided below.
The image shows the relationship between intersecting secants and their corresponding arcs which is important to understand when looking at problems like these.
The relationship states that an angle formed by two intersecting secants is equal to half the sum of its corresponding arc and its vertical angles corresponding arc.
So ∠FHG = 1/2 ( arc FG + arc EB )
* substitute the given expressions for each angle and arc *
we would then have
15x - 2 = 1/2 ( -2 + 12x + 16x + 10 )
We now solve for x
Step 1 multiply each side by 2
1/2 ( -2 + 12x + 16x + 10 ) *2 = ( the 2 and 1/2 cancels out ) -2 + 12x + 16x + 10
(15x - 2 )2 = 30x - 4
we now have -2 + 12x + 16x + 10 = 30x - 4
step 2 combine like terms
-2 + 10 = 8
12x + 16x = 28x
now we have 30x - 4 = 28x + 8
step 3 add 4 to each side
-4 + 4 cancels out
8 + 4 = 12
Now we have 30x = 28x + 12
step 4 subtract 28x from each side
30x - 28x = 2x
28x - 28x cancels out
now we have 2x = 12
step 5 divide each side by 2
2x / 2 = x
12 / 2 = 6
we're left with x = 6
There are several characteristics of a parallelogram that can prove a quadrilateral is a parallelogram. Which characteristic would prove a quadrilateral is a parallelogram?
1.Opposite angles are supplementary
2.Adjacent angles are complementary
3.Adjacent angles are supplementary
4.Opposite angles are equal
Answer: its 4
Step-by-step explanation:
The following box plot shows the number of years during which 40 schools have participated in an interschool swimming meet:
A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.
At least how many schools have participated for more than 1 year and less than 6 years? (5 points)
a
4 schools
b
8 schools
c
10 schools
d
20 schools

Answer:
the answer is 20
Step-by-step explanation:i
hope it helps
Shannon rolls two number cubes, each numbered one through six. She observes the numbers facing up on each number cube and finds the total of the two numbers. What is the probability the total will be 5?
starting with 2 cubes that have 6 numbers total for each one, so 2 cubes will have 12 numbers total, and the probability of number 5 is 2/12 (because each cube has a number 5, so two cubes will have 2, and fraction for it will be 2/12).
The probability the sum total will be 5 is 4/36.
What is probability?"Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one".
For the given situation,
The sample space for rolling two 6 sided cube is
s ={
[tex](1,1), (1,2), (1,3), (1,4), (1,5), (1,6)\\(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)\\(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)\\(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)\\(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)\\(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)[/tex] }
⇒ [tex]n(s)=36[/tex]
The event is getting the probability that the sum total will be 5.
e = { [tex](1,4), (2,3), (3,2), (4,1)[/tex] }
⇒ [tex]n(e)=4[/tex]
Thus the probability that the sum total will be 5 is
[tex]P(e)=\frac{n(e)}{n(s)} \\[/tex]
⇒ [tex]P(e)=\frac{4}{36}[/tex]
Hence we can conclude that the probability the sum total will be 5 is 4/36.
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(a) Write 7.2 x 10-3 as an ordinary number.
(b) Write 71500000 as a number in standard form.
Answer:
(a) 0.0072
(b) 7.15 x 10^7
Step-by-step explanation:
Numbers less than 1 have a negative exponent
- those greater than 1 have a positive exponent.
The first part of standard form has values between 0 and 10.
wHAT is 3+3+4+5+6+7????
Answer:
28
Step-by-step explanation:
first u add 3 + 3 which is 6 then 6 + 4 which is 10 then 10 + 5 is 15 then 15 + 6 is 21 and finally 21 + 7 is 28
HELP!
Find the area of a square with a diagonal of length 12.
Answer:
6
Step-by-step explanation:
Answer:
72 square units
Step-by-step explanation:
you can use the Pythagorean Theorem; because we're dealing with a square then each side can be assigned the same variable, let's use 'a'
a² + a² = 12²
2a² = 144
a² = 72
a = [tex]\sqrt{72}[/tex]
[tex]\sqrt{72}[/tex] can be simplied as [tex]\sqrt{9}[/tex]·[tex]\sqrt{4}[/tex]·[tex]\sqrt{2}[/tex] which is 3·2·[tex]\sqrt{2}[/tex]
each side has a length of 6[tex]\sqrt{2}[/tex]
A = (6[tex]\sqrt{2}[/tex])² which is 6·6·2 or 72
Find the volume of the Prism (Picture Provided)
Answer:
volume = 84
Step-by-step explanation:
simple: volume = base x height
6 x 14 = 84
There are 4 red marbles, 3 blue marbles, and 13 green marbles in a bag.
One marble is drawn, kept, and then a second marble is drawn
What is the probability of drawing a blue marble and then drawing a red marble?
Write your answer as a fraction.
Answer:
3/20+4/19= 137/380
A pyramid and a cone are both 8 centimeters tall and have the same volume.
What statement must be true about the two solids?
АА
A. The area of the cross-sections of the prisms are multiples of each
other
B. The cross-sections of the prisms are the same shape.
C. The vertical cross-sections of the prisms at the same width must
have the same area.
D. The horizontal cross-sections of the prisms at the same height
must have the same area.
SUBMIT
Answer:
D
Step-by-step explanation:
The horizontal cross-sections of the prisms which is at same height as the cone should have same area.
Therefore Option D is the answer.
What is a Cone ?A cone is a three dimensional figure that has a circular horizontal structure , and vertically tapering up till a point.
It is given that
A Pyramid and a cone both have same volume.
Height of cone is same as Height of Pyramid .
Volume of cone = (1/3)πr²h
Volume of a pyramid = Area of base * h
When both the volume are equated
as height is same
The Area of the base of the cone = Area of the base of the Pyramid
The horizontal cross-sections of the pyramid which is at same height as the cone should have same area.
Therefore Option D is the answer.
To know more about Cone
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