The area of the base of the first sandbox is 64 square feet
What is the area?Area is the measure of the amount of surface that a two-dimensional figure or shape covers. It is typically expressed in square units, such as square inches or square meters.
The area of a shape can be calculated by multiplying the length of its base by its height or by using specific area formulas for different shapes, such as the area of a circle or the area of a triangle.
The area of a square is given by the formula: A = s², where s is the length of one side of the square.
In this case, the sandbox has a square base with a side length of 8 feet. Therefore, the area of the base of the first sandbox is:
A = 8² = 64 square feet.
So, the area of the base of the first sandbox is 64 square feet
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what percent of 45 is 27?
Answer:
60
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Step-by-step explanation:
Factorize completely 3ac+6ab-15a
Answer:
3a(c + 2b - 5)
Step-by-step explanation:
Step-by-step explanation: The greatest common factor for the 3 terms here is 3a so factor out a 3a and what we're left with inside the parentheses is each of the terms in the original polynomial divided by 3a.
So we have 3a(c + 2b - 5) which is our final answer.
There are 11 teachers and 132 students at a middle
school. What is the ratio of teachers to students?
Answer:
[tex]\frac{1}{12}[/tex] or 1:12
Step-by-step explanation:
There are 11 teachers : 132 students
Because ratios are just another way of writing fractions, by putting this into a fraction we get:
[tex]\frac{11}{132}[/tex]
Dividing both the numerator and denominator (top and bottom) by 11, we get:
[tex]\frac{1}{12}[/tex]
Thus, the ratio is [tex]\frac{1}{12}[/tex], or 1:12
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Answer:
b is correct
Step-by-step explanation:
Gavin needs to fill the fish tank below with water. The directions state that the water level should be 2 inches below the top of the tank. Write an expression to show the volume of water Gavin needs to fill the tank according to the directions.
Answer:
See explanation
Step-by-step explanation:
The question is incomplete; So, I will solve the question generally.
Assume the following;
[tex]l \to length[/tex]
[tex]w \to width[/tex]
[tex]h \to height[/tex]
Since the water level must be 2 inches below the tank height, the water height is:
[tex]H \to h - 2[/tex]
So, the water volume is:
[tex]Volume = l * w * H[/tex]
[tex]Volume = l * w * (h - 2)[/tex]
Hence, the expression is:
[tex]Volume = l * w * (h - 2)[/tex]
Assume that:
[tex]l = 5; w = 10; h = 8[/tex]
The volume becomes:
[tex]Volume = 5 * 10 * (8 - 2)[/tex]
[tex]Volume = 5 * 10 * 6[/tex]
[tex]Volume = 300[/tex] cubic units
Find the circumference of the given circle given a diameter of 40 cm.
Use 3.14 as an approximation of Pi.
Answer:
c. 125.6
Step-by-step explanation:
Pi= 3.14
r= d/2 = 40/2 = 20
[tex]2\pi \: r[/tex]
= 2 × 3.14 × 20
=125.6
A radio station broadcasts a signal over an area with a 120-mile diameter. The population density of the area is 100 people per square mile.
How many people are within receiving distance of the broadcast signal?
Use 3.14 for pi.
Answer:
1,130,400 people
Step-by-step explanation:
Find the area of the broadcasting area, using the circle area formula.
Since the diameter is 120 miles, the radius will be 60 miles.
Use the circle area formula, plug in 60 as r, and plug in 3.14 as pi:
A = [tex]\pi[/tex]r²
A = (3.14)(60²)
A = 11304
So, the area is 11304 square miles
To find how many people are in receiving distance, multiply this by 100, since there are 100 people per square mile.
11304(100)
= 1,130,400
So, 1,130,400 people are within receiving distance of the signal.
Answer:
1,130,400
Step-by-step explanation:
The probability of saving a penalty kick from the opposing team is .617 for a soccer goalie. If 7 penalty kicks are shot at the goal, what is the probability
Answer:
0.2754
Step-by-step explanation:
Probability of saving a penalty kick = 0.617
p = 0.617 ; q = 1 - p = 1 - 0.617 = 0.383
number of trials, n = 7
Number of saves, x = 5
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 5) = 7C5 * 0.617^5 * 0.383^2
P(x = 5) = 21 * 0.0894181 * 0.146689
P(x = 5) = 0.2754
hey i’ll give brainliest please help
Answer: B
Step-by-step explanation:
Answer:
We could not survive, without natural resourses we would die.
Step-by-step explanation:
A circle of radius 1 is inside a circle of radius 5. The smaller circle is rotated clockwise
on the larger circle without slipping until it arrives back at its starting point P. How
many revolutions (turns) will the small circle make? Be careful. The answer is not 5.
9514 1404 393
Answer:
4
Step-by-step explanation:
Consider the arcs PQ and P'Q. When turns are made without slipping, these have the same measure. The length of arc PQ is ...
PQ = CP·θ
The length of arc P'Q is ...
P'Q = O₂Q·(∠PO₂Q)
Segment O₂A is parallel to CP, so angle AO₂Q is θ. Then ∠PO₂Q = θ+α, where α is the angle by which P' has rotated counterclockwise from A.
We are given that ...
CP = 5, O₂Q = 1
Using the above relations, we can write ...
5θ = 1(θ+α)
α = 4θ
That is, for every full turn θ = 2π, the smaller circle makes turns totalling 4(2π) = 8π, or 4 full turns.
The small circle makes 4 revolutions to arrive at its starting point.
Enter a decimal that equivalent to 6/100
Answer:
0.06
Step-by-step explanation:
please. i am hanging on by a thread.
Answer:
x=6
Step-by-step explanation:
9(10)=15(×)
90=15×
90÷15=6
what is the algebraic equation of the product of twenty and five minus seventy-eight is n?
a. (20-5)-78
b. (20+5)+78
c. (20×5)+78
d. (20×5)-78
Answer:
d
Step-by-step explanation:
HELP NOW PLEASE I HAVE 10 MINUTES! 20 POINTS
If f(x) = 4x^2 + 1 and g(x) =x^2 - 5, find (f-g)(x)
Me and my procrastination habits smh
Also let me know if you can help with other questions I have 2 more
Slope:
2
3
y-intercept: (0,−6)xy0−63−4
Julio solicitó un préstamo en el banco para invertir en su casa, pagó una cuota de $32,950 y otra de $25,825. Si el préstamo fue de $100.000. Cuánto dinero le debe al banco??
Answer:
Julio debe $ 41225 al banco por concepto del préstamo para invertir en su casa.
Step-by-step explanation:
Dada la falta de información, asumimos que el préstamo fue realizado sin tasa de interés, de modo que la deuda solo sea el monto inicial menos las cuotas pagadas por quien recibe el préstamo, la cantidad de dinero que adeuda al banco es:
[tex]x = \$\,100000 - \$\,32950 - \$\,25825[/tex]
[tex]x = \$ \,41225[/tex]
Julio debe $ 41225 al banco por concepto del préstamo para invertir en su casa.
Evaluate 5v + w for v = 4 and w = 16. Show work.
Answer:
36
Step-by-step explanation:
5(4)+16=20+16=36
can someone help i’m confused
PN = LO
__________________________
(LO)^2 = (LN)^2 + (NO)^2
(LO)^2 = 6^2 + 8^2
(LO)^2 = 36 + 84
(LO)^2 = 100
LO = √100
LO = 10
__________________________
Thus :
PN = 10
Step-by-step explanation:
So, we can assume that LN and PO are equal in length and NO and LP are equal in length as well. LO and PN are also equal.
We can see that PN is the hypotenus of either triangle NLP or NOP. LO is the hypotenuse of LOP and LON, so those could be used to find the length as well. I rather work with NOP, but any work.
We know that NO is 8 units long and LN is 6 units long. Because LN = PO, PO = 6 units.
So, using the pythagorean theorem, the hypotenuse is:
8^2 + 6^2 = c^2
64 + 32 =c^2
sqrt(96)=c
c~9.8
I don't know how exact they want your answer.
c = 9.79795897113
please show your work
Answer:
52
Step-by-step explanation:
If JK bisects the angle, the two angles are equal
6x+2 = 8x-6
Subtract 6x from each side
6x-6x+2 = 8x-6x-6
2 = 2x-6
Add 6 to each side
2+6 =2x-6+6
8 =2x
Divide by 2
8/2 =2x/2
4 =x
Now find angle LJM, which is the sum of the two angles
6x+2 + 8x-6
14x -4
14*4-4
56-4
52
Answer:
D) 52
Step-by-step explanation:
since htere is an angle bisector that means that (6x+2) and (8x-6) are equal to each other
so
(6x+2)=(8x-6)
-6x -6x
2=2x-6
+6 +6
8=2x
/2 /2
x=4
no you plug x back into one of the equations so
6(4)+2=26
now 26x2=52
In a football game, a running back had 5 carries where he gained 12 yards each time and 3 carries where he lost 6 yards each time. how many total yards did the running back have during the game?
Answer:
I think the answer is 26
Step-by-step explanation:
In the question it said how many it total so 5 + 12 + 3 + 6 = 26
I hoped this helped!
Sorry if I'm wrong
THIS IS DUE TOMORROW MORNING!!! Find the slope and and y-intercept of the line 2x + 6y = -12
Answer:
Slope: -1/3
y intercept: (0, -2)
Find the volume of the frustrum of the right circular cone generated by rotating the line y = 3x+1 about the x-axis between x = 0 and x = 2.
Answer:
38π cubic units
Step-by-step explanation:
The volume V = ∫₀²πy²dx
Since y = 3x + 1, dy = 3dx ⇒ dx = dy/3
So, when x = 0, y = 3(0) + 1 = 0 + 1 = 1
when x = 2, y = 3(2) + 1 = 6 + 1 = 7
So, changing the variable to y and the limits of integration from y = 1 to y = 7, we have
V = ∫₀²πy²dx
V = π∫₁⁷y²dy/3
V = π[y³/3]₁⁷/3
V = π[y³]₁⁷/9
V = [7³ - 1³]π/9
V = [343 - 1]π/9
V = 342π/9
V = 38π cubic units
Not too hard! Would appreciate help
Answer:
1,3
Step-by-step explanation:
i dont get these questions on math help i give brainliest
Answer:
here a link to your answer
Step-by-step explanation:
https://brainly.com/question/20419046
plus the answer is b
A circle has a diameter that measures 14in. what is the area of the circle to the nearest tenth?
Answer:
153.9
Step-by-step explanation:
14/2=7 which is the radius which you square and it results to 49. multiply that times pi for 153.86 or 153.9 to the nearest tenth.
Answer:
153.9
Step-by-step explanation:
We know that the equation to find the area of a circle in [tex]\pi r^2\\[/tex]. So we divide the diameter by half and we plug in the radius.
HELPP(David saves 12 % of his monthly salary.
If he saves $17.75, what is his monthly
salary?)
Answer:
147.92
Step-by-step explanation:
Let the monthly salary be x
He saves 12 % and that is 17.75
x* 12% = 17.75
Change to decimal form
x *.12 = 17.17
Divide each side by .12
x*.12 /.12 = 17.75/.12
x =147.91666666
Rounding to the nearest cent
x = 147.92
Arrange the expressions in increasing order of their values.
Answer:
The 4th one is the least so you would put that as the first one, then the 2nd one, then the 1st one, then the 3rd one.
Step-by-step explanation:
The fourth one is first because 10 to the power of 0 is 0 times 10 to the power of 1 is still 0 minus 1 to the power of 10 is 1 so 0 minus 1 is -1. The second one is second because 10 to the power of 0 times 10 to the power of 1 is 0, times 1 to the power of 10 is still 0. The first one is third in line because 10 to the power of 0 plus 10 to the power of 1 is 10 times 1 to the power of 10 is 10. The third one is last because its the greatist, 10 to the power of 0 plus 10 to the power of 1 is 10 plus 1 to the power of 10 is 11.
Jane is playing basketball. After a series of 20 shots, Jane had scored 55% of the time. Five shots later, her scoring rate had increased to 56%. On how many of the last five shots did she score
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
If the unit's and ten's digits of a two digits of a two digit number are y and x, then the number is
Answer:
10x+ y
Step-by-step explanation:
The unit's digit is y and the ten's digit is x.
The ten's digit has a zero placed beside it .
So multiply x by 10 giving 10 x and then add the unit's digit .
This wil give 10x+ y
The number is 10 x + y
This can be elaborated through the use of numbers . Suppose we have unit's digit as 6 and the ten's digit as 5.
Multiply 10 by 5 and add 6
5*10 +6= 50+6= 56
Which equation can be used to find A, the area of the parallelogram shown?
A parallelogram with a base six meters, height seven meters, and diagonal side length eleven meters
A = 6 × 7
A = 6 × 11
A = 12 × 6 × 7
A = 12 × 6 × 11
Answer:
A = 6 x 7
Step-by-step explanation:
To find the area of a parallelogram we use the equation of Area = base x height. In this case since the base is 6 and the height is 7, we plus in these numbers for the variables (b x h) to get the area.
Someone please help me ?!?!?
Answer:
2nd is correct
Step-by-step explanation:
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