The statements about the design that are true are:
each sprinkler head is placed more than 3 feet from the walkwaythe total area watered by each sprinkler is approximately 63.6 square feet. the total area watered by all the sprinklers is approximately 254 square feet.How to explain the design?As we can see the distance from the sprinklers head to the walkway is more than one grid and length of one grid is 3 feet, so each sprinkler is placed more than 3 feet from the walkaway.
The radius of the area watered by each sprinkler = 1.5 grid = 1.5×3 = 4.5 feet. So area watered by each sprinkler = π×r² = (3.14)(4.5)² = 63.58 ≈ 63.6 feet². Area watered by one sprinkler = 63.6 feet², therefore total area covered by four sprinklers = 4×63.6 = 254 feet²
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Answer:
A&C&D
Step-by-step explanation:
Trust
A geometry teacher asked Charlene to define “acute triangle.” Charlene said that an acute triangle is a triangle whose three interior angles have measures less than 90°. Is Charlene’s definition valid?
Answer:
YES BECAUSE THIS DEFINITION FITS ALL ACUTE TRIANGLES AND DOES NOT FIT TRIANGLES THAT ARE NOT ACUTE
Step-by-step explanation:
i got it right on TTM
i cant find the height to the area!!! THE SHAPE IS A TRIANGLE
area is 21.9
the base is 6
and the height is x
Answer:
x = 7.3
Step-by-step explanation:
area = base × height / 2
21.9 = 6 × x / 2
43.8 = 6x
x = 7.3
Answer:
7.3
Step-by-step explanation:
The formula to find the area of a triangle is (1/2)(a)h = A.
Replace the variable h (height) with x.
Isolate the x variable (height) in order to find the height value.
(1/2)(6)x = 21.9
3x = 21.9
x = 21.9/3
x = 7.3
Find x. A) 3 B) 3.75 C) 4.25 D) 5
Answer: B
Step-by-step explanation:
By the intersecting chords theorem, (3)(5)=4x, meaning x=3.75.
A baseball team is hosting a dance as a fundraiser. the cost of 1 individual ticket is $7. the cost of 1 group ticket is $16. the baseball team sold 36 more individual tickets than group tickets. the fundraiser raised $574 as a result of all ticket sales. if x is the number of the individual tickets that were sold and y is the number of group tickets that were sold, how many individual tickets were sold (what is the value of x)?
To form equations from word problems, we can do the following:
Identify variablesFind key informationIdentify word equations and translate into numerical equationsSolveSolving the QuestionWe're given:
Let x be the number of individual tickets that were soldLet y be the number of group tickets soldCost of 1x = 7 dollarsCost of 1y = 16 dollarsBaseball team: 36 more x than yQuestion: How many individual tickets were sold? (What is the value of x?)
Here are all the equations we have created:
x = 36 + y7x + 16y = 574We can solve for the value of x using systems of equations.
First, isolate y in the first equation:
[tex]x = 36 + y\\y=x-36[/tex]
Now, plug this into the second equation:
[tex]7x + 16y = 574\\7x + 16(x-36)= 574\\7x+ 16x-586= 574\\23x=1150\\\\x=\dfrac{1150}{23}\\\\x=50[/tex]
Therefore, x is equal to 50.
Answer50 individual tickets were sold.
By about how many years did life expectancy increase in the us between 1960 and 2010? 7 years 17 years 27 years
Answer:
The closest answer would be 7 years
Step-by-step explanation:
In the '60s, the life expectancy was approximately 70 years, and in 2010 it was approximately 78.
Answer: answer would be 7 years
Step-by-step explanation:
just did it
HELP PLEASE!!!!!!! not Hubby097 tho
Answer:
729.
Step-by-step explanation:
-3 /1 =-3
9 / -3= -3
-27/9 = -3
So this is a geometric sequence with common ratio r = -3.
First term a = 1 so
nth term = ar^(n-1)
= 1(-3)^(n-1)
7th term = 1(-3)^(7-1)
= (-3)^6
= 729.
this net can be folded to make a square pyramid. what is the surface area of the pyramid
Answer:
[tex]85in^2[/tex]
Step-by-step explanation:
to find the surface area we need to find the followng areas:
area of the square area of a triangle and multiply it by 4 (because there are 4 triangles)And once we have those areas, we add them to find the surface area.
Area of the square:
the formula to find the area of a square is:
[tex]a_{square}=l^2[/tex]
where [tex]l[/tex] is the length of the side: [tex]l=5in[/tex]
thus the area of the square is:
[tex]a_{square}=(5in)^2[/tex]
[tex]a_{square}=25in^2[/tex]
Area of the triangles:
the are of 1 triangle is given by
[tex]a_{triangle} =\frac{b*h}{2}[/tex]
where [tex]b[/tex] is the base of the triangle: [tex]b=5in[/tex] (the base of the triangle is the side of the square)
and [tex]h[/tex] is the height of the triangle: [tex]h=6in[/tex]
thus, the area of 1 triangle is:
[tex]a_{triangle} =\frac{(5in)*(6in)}{2}[/tex]
[tex]a_{triangle} =\frac{30in^2}{2}[/tex]
[tex]a_{triangle} =15in^2[/tex]
the area of the 4 triangles is (we multiply by 4):
[tex]a_{4-triangles}=4(15in^2)[/tex]
[tex]a_{4-triangles}=60in^2[/tex]
finally we add the area of the square and the area of the 4 triangles to find the total surface area:
[tex]Surface=25in^2+60in^2[/tex]
[tex]Surface=85in^2[/tex]
Drag each tile to the correct box. arrange the functions in ascending order, starting with the function that eventually has the least value and ending with the function that eventually has the greatest value. 3x 8 4x 3 x2 6 3x 4x x2 ↓ ↓ ↓ ↓ ↓
The functions in ascending orders are:
1. 3x
2. 3x + 8
3. x^2
4. x^2 + 6
5. 4^x
6. 4^x + 3
What is a function?A function is known to be that relation that is said to exist between a set of numbers that is known to be having one output each.
Note that in the above such as 3x, 3x + 8, the functions in ascending orders as it start with the function that has it least value.
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Which function has the same minimum value as ? f(x) = 3x 3 f(x) = |x| 3 f(x) = –x2 3
The function that has the same minimum value as fx= 3x³ is f(x) = x + 3.
What is a function?It should be noted that a function simply means a relation or expression that involves two or more variables.
In this case, the function that has the same minimum value as the expression of 3x³ is f = x + 3.
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Answer:
B. f(x) = /x/ + 3
Step-by-step explanation:
edg 22'
2.5h + 3.1 = 13.1 what is h?
Answer:
h=4
Step-by-step explanation:
A rectangle has an area of 48
48
square feet and a length of 12
12
feet.
Which answer choice shows the correct way to find
w
, the width of the rectangle?
CLEAR CHECK
12×==484 feet 12×w = 48 w = 4 feet
48−==1236 feet 48−w = 12 w = 36 feet
12×48==576 feet 12×48 = w w = 576 feet
2+24==4812 feet
Look at ivan’s check register. ivan spent $158.29 on groceries. he then transferred $250 to his savings account. a check register. a is the amount debited for groceries. d is the amount debited for a transfer. the letter represents where the amount of $158.29 should be written. the letter represents where the amount of $250 should be written.
The letter A represents where the amount of $158.29 should be written.
The letter D represents where the amount of $250 should be written.
What is a Cash Register?This refers to the automated machine that is used to handle cash transactions and also for making calculations.
Hence, we can see that from the complete information, Ivan has a cash register where he records the amount he spends on groceries which is $158.29, and also the transaction of sending $250 to his savings account.
However, in the cash register, Ivan uses the letter A to show where the amount of $158.29 should be written and the letter D represents where the amount of $250 should be written.
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Answer:
A and D
Edge 2022
An investment of $10,000 is invested for 6 years at r% pa compounded weekly. If the investment grows to $14320.44, calculate the value of r.
I m sorry I hv no idea
.........
Define relation in math
Answer:
A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation.
Step-by-step explanation:
How do I do this????
Answer:
your answer will be 10 and that rounded to the nearest hundredth is 100.
Step-by-step explanation:
i really hope this is right
4y+8-2y if y=3 what is the answer
Answer:
14.
Step-by-step explanation:
Plug 3 in for y:
= 4(3) + 8 - 2(3)
= 12 + 8 - 6
= 14.
enlarge (2,-2) (4,-2) (2,-4) (4,-4) by scale factor 3.5 with centre of enlargement (4, -6)
The image of dilating the points by a scale factor 3.5 with centre of enlargement (4, -6) is (-7, 14), (0, 14), (-7,7) and (0, 7)
How to dilate the points?The coordinates are given as:
(2,-2) (4,-2) (2,-4) (4,-4)
The scale factor is given as:
k = 3.5
The center of enlargement is given as:
(a,b) = (4, -6)
The image of dilation is calculated using:
[tex](x,y) \to (k(x -a), k(y -b))[/tex]
So, we have:
A = (3.5(2 -4), 3.5(-2 +6))
A = (-7, 14)
B = (3.5(4 -4), 3.5(-2 +6))
B = (0, 14)
C = (3.5(2 -4), 3.5(-4 +6))
C = (-7,7)
D = (3.5(4 -4), 3.5(-4 +6))
D = (0, 7)
Hence, the image of dilating the points is (-7, 14), (0, 14), (-7,7) and (0, 7)
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Polynomials & Factoring
(4m+n)(m-2n)
(2a-4b)(7a-2b)
Thank you!
Answer4
m
2
−
7
m
n
−
2
n
2
Step-by-step explanation:
(3,-3) and (2,-6) as a linear equation in y=mx+b form
Answer:
y=3x-12
Step-by-step explanation:
We need to find the m of y = mx+b which is the slope:
-3-(-6)/3-2 = 3 as our slope
We know have y = 3x+b.
If we keep applying slope to the point (2,-6) and go downwards. We hit (0,-12). That's our y intercept. So we replace b with our y intercept which is -12. We know get y = 3x-12
A diagonal of a cube measures 15 cm and the length of an edge of the cube is startroot 75 endroot cm. what is the length of the diagonal of a face of the cube? round to the nearest tenth. 7.1 cm 12.2 cm 13 cm 15 cm
A cube is a three-dimensional solid object having six square faces. The measure of the length of the diagonal of the face of the cube is 12.2 cm.
What is a cube?A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex. The cube is one of the five Platonic solids and the only regular hexahedron.
Given the length of an edge of the cube is √75 cm, therefore, the length of the diagonal of the face of the cube will be √2 times the length of an edge of the cube. Thus, the measure of the length of the diagonal of the face of the cube is,
Length of the diagonal of the face = √2 × √75 = 12.2 cm
Hence, the measure of the length of the diagonal of the face of the cube is 12.2 cm.
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Answer: ITS B (12.2)
Step-by-step explanation:
I am the lizard king, I can do anything.
1 point
11
y
Find x and y.
DO
30°
x=11√2 y = 22
x = 22 y=11√/3
x = √√√3 y = 11
Answer:
x = 22, y = 11√3
Step-by-step explanation:
Here,
x is the Hypotenuse side
y is the adjacent side.
11 is the opposite side.
Formula : -
sin θ = Opposite side / Hypotenuse side
Here,
θ = 30
Note : -
The value of sin 30 = 1 / 2
1 / 2 = 11 / x
Cross multiply,
x * 1 = 2 * 11
x = 22
By Pythagoras theorem,
11² + y² = x²
11² + y² = 22²
y² = 22² - 11²
22² = 11² x 2²
11² = 11² x 1²
y² = 11² ( 2² - 1 )
y² = 11² x ( 4 - 1 )
y² = 11² x 3
Square root on both sides,
y = 11√3
help me out here guys
Four functions are listed below.
f(x) | (x^2-4) (x-1)
g(x) | (x+4) (x-6)
h(x) | (x^2+6)
k(x) | x (x^2-25)
Which two functions, when graphed, have the same number of x-intercepts?
A.
f(x) and g(x)
B.
g(x) and h(x)
C.
h(x) and k(x)
D.
k(x) and f(x)
Becky spent h hours studying
plus an additional 2 hours
typing a report for the week. If
her total studying and work
time was 6.5 hours, how many
hours did she study for?
Write an equation to solve.
Answer:
6.5 = h + 2
h = 4.5
Step-by-step explanation:
We are given h and since she did 2 additional hours of work, we add the 2 hours. and since we are trying to find h, we set the equation equal to 6.5
121. How much sand is needed to fill a sandbox
8 feet by 6 feet to a depth of 18 inches?
A. 64 cu
B. 62 cu ft.
C. 74 cu ft.
D. 72 cu ft.
E. 68 cu ft.
Answer: The answer is D. 72 cu ft.
Step-by-step explanation:
1. Which of the following measures would NOT produce a triangle? Choose all that apply.
three sides: 3 cm, 5 cm, and 7 cm
three sides: 5 cm, 7 cm, and 9 cm
three sides: 5 cm, 9 cm, and 15 cm
three sides: 3 cm, 5 cm, and 10 cm
Answer:
I believe the answers are :
5 cm, 9cm, and 15 cm
3 cm, 5 cm, and 10 cm
Step-by-step explanation:
When 2 sides that are not the hypotenuse are added and are less than the hypotentuse, a triangle cannot be formed.
Use definition of a derivative to compute the derivative of g(x)= 1/3x^2
If g(x) = 1/(3x²), the by the definition of the derivative, we have
[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{g(x+h) - g(x)}h[/tex]
[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{\frac1{3(x+h)^2} - \frac1{3x^2}}h[/tex]
[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{\frac{x^2}{3x^2(x+h)^2} - \frac{(x+h)^2}{3x^2(x+h)^2}}h[/tex]
[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{x^2 - (x+h)^2}{3x^2(x+h)^2h}[/tex]
[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{x^2 - x^2 - 2xh - h^2}{3x^2(x+h)^2h}[/tex]
[tex]\displaystyle g'(x) = - \lim_{h\to0} \frac{2xh + h^2}{3x^2(x+h)^2h}[/tex]
[tex]\displaystyle g'(x) = - \lim_{h\to0} \frac{2x + h}{3x^2(x+h)^2}[/tex]
[tex]\displaystyle g'(x) = - \frac{2x}{3x^4} = \boxed{-\frac2{3x^3}}[/tex]
Question content area top
Part 1
compares the heights of two plants to see which plant grows more per day. The table shows the height of Plant 1, in centimeters, over 5 days. The graph shows the height of Plant 2, in centimeters, over 10 days. says that since Plant 1 grows cm per day and Plant 2 grows cm per day, grows more per day. Answer parts a and b.
Answer:
Step-by-step explant 1 grows more
Step-by-step explanation:
plant 2 only grows one cm a day while plant 2 grows 1.6 cm a daycation:
PLEASE HELP ME I WILL MAKE YOU BRAINLIST!!!!
Answer:
I worked it out and got C as my answer
Use the order of operations to evaluate the numerical expression.
Answer:
I'm sorry but I need some numbers to solve. we just learned this in class so I'm new though
Step-by-step explanation:
Needs numbers
A water tank has a radius 5 feet and height 11 feet. How much water can it hold?
The water tank hold 863.50 [tex]ft^{3}[/tex] of water.
What is Volume of cylinder?
The volume of a cylinder is the number of unit cubes (cubes of unit length) that can be fit into it. It is the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it.
The water tank is in the shape of cylinder whose radius = 5 feet
and, height= 11 feet
Volume of water tank =[tex]\pi r^{2} h[/tex]
= 3.14 * 5 * 5 * 11
= 3.14*25*11
= 863.50 [tex]ft^{3}[/tex]
Hence the water tank hold 863.50 [tex]ft^{3}[/tex] of water.
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