Answer:
X = 11
Step-by-step explanation:
Each square has a side length of 12 units. Compare the areas of the shaded regions in the 3 figures. Which figure has the largest shaded region? Explain or show your reasoning.
Answer:They are equal
Step-by-step explanation:
they will add up they are just token apart or in pieces
Three different figures are given. The area of the shaded region of all the figures is the same.
We need to determine the highest shaded area among all.
Now, the area of the square is common to all.
Thus,
[tex]\begin{aligned}\rm{Area\;of\;square}&=12^2\\&=144 \;\rm{units^2}\end{aligned}[/tex]
1). Calculate the shaded area for figure A.
The diameter of the circle is 12 units, hence its radius is 6 units.
Therefore,
[tex]\begin{aligned}\rm{Area\;of\;circle}&=\pi \times 6^2\\&=36 \pi \;\rm{units^2}\end{aligned}[/tex]
[tex]\begin{aligned} \rm{Shaded\; area} &= \rm{Area\; of\; the\; square - Area\; of\; the\; circle}\\&=144-36 \pi \end{aligned}[/tex]
Thus, the area of the shaded region for figure 1 is [tex]114-36 \pi[/tex].
2). Calculate the shaded area for the figure B.
The diameter of the circle is 6 units, hence its radius is 3 units.
Therefore,
[tex]\begin{aligned}\rm{Area\;of\;circle}&=\pi \times 3^2\\&=9 \pi \;\rm{units^2}\end{aligned}[/tex]
[tex]\begin{aligned} \rm{Shaded\; area} &= \rm{Area\; of\; the\; square - 4 \times Area\; of\; the\; circle}\\&=144-36 \pi \end{aligned}[/tex]
Thus, the area of the shaded region for figure 2 is [tex]114-36 \pi[/tex].
3). Calculate the shaded area for figure C.
The diameter of the circle is 4 units, hence its radius is 2 units.
Therefore,
[tex]\begin{aligned}\rm{Area\;of\;circle}&=\pi \times 2^2\\&=4 \pi \;\rm{units^2}\end{aligned}[/tex]
[tex]\begin{aligned} \rm{Shaded\; area} &= \rm{Area\; of\; the\; square - Area\; of\; the\; circle}\\&=144-36 \pi \end{aligned}[/tex]
Thus, the area of the shaded region for figure 3 is [tex]114-36 \pi[/tex].
Therefore, the area of the shaded region of all the figures is the same.
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Which expression is equivalent to 4(x + 6)?
O A. 4x + 6
O B. 5x + 10
O C. X + 24
OD. 4x + 24
Simplify [tex]\sqrt{ \frac{25y^2}{6x}[/tex]
the answer should look smething like this [tex]\frac{b \sqrt{x} }{y}[/tex]
Answer:
[tex] \frac{5y \sqrt{6x} }{6x} [/tex]
Step-by-step explanation:
[tex]\sqrt{ \frac{25y^2}{6x}} \\ \\ = \frac{5y}{ \sqrt{6x} } \\ \\ = \frac{5y \sqrt{6x} }{ \sqrt{6x} \times \sqrt{6x} } \\ \\ = \frac{5y \sqrt{6x} }{6x} [/tex]
solve
[tex]8x + \frac{5}{2} = 13[/tex]
please help me
Answer:
[tex] x = 1 \frac{5}{16}[/tex]
Step-by-step explanation:
[tex]8x + \frac{5}{2} = 13 \\ \\ 8x = 13 - \frac{5}{2} \\ \\ 8x = \frac{13 \times 2 - 5}{2} \\ \\ 8x = \frac{26 - 5}{2} \\ \\ 8x = \frac{21}{2} \\ \\ x = \frac{21 }{2\times 8} \\ \\ x = \frac{21}{16} \\ \\ x = 1 \frac{5}{16} \\ [/tex]
Savannah, Greg, and kevin all take part time jobs for the summer. Their hourly wages are shown in the tables below use the information to answer each question.
Answer:
you didnt show the table and I need the ta le in order to answer your question
Write the slope-intercept form of the equation of the line if m= 3 and b =
(0, 1)
Answer:y=3x+1
Step-by-step explanation:
Slope intercept form is y=mx+b
(m) is slope
(b) is y int
y=3x+1
Noah puts $500.00 into an account to use for school expenses. The account earns 3% interest, compounded annually. How much will be in the account after 8 years?
A. 633.39
B.647.28
C.598.57
D. 618.72
It’s for a test please I need a answer
d
Step-by-step explanation:
Indica que medida hay que adicionar alas siguientes para obtener 1dm cúbico en cada caso a. 27cmcubicos b. 300cm cúbicos c. 0,0001 m cúbicos d. 12,000mm cúbicos
Answer:
A) Debe agregarse 973 centímetros cúbicos para obtener un decímetro cúbico.
B) Debe agregarse 700 centímetros cúbicos para obtener un decímetro cúbico.
C) Debe agregarse 0,0009 decímetros cúbicos para obtener un decímetro cúbico.
D) Debe agregarse 999988 milímetros cúbicos para obtener un decímetro cúbico.
Step-by-step explanation:
A) Sabemos que un decímetro cúbico equivale a 1000 centímetros cúbicos, entonces la cantidad a adicionar a los 27 centímetros cúbicos para obtener un decímetro cúbico es:
[tex]x = 1000\,cm^{3}-27\,cm^{3}[/tex]
[tex]x = 973\,cm^{3}[/tex]
Por tanto, debe agregarse 973 centímetros cúbicos para obtener un decímetro cúbico.
B) Sabemos que un decímetro cúbico equivale a 1000 centímetros cúbicos, entonces la cantidad a adicionar a los 300 centímetros cúbicos para obtener un decímetro cúbico es:
[tex]x = 1000\,cm^{3}-300\,cm^{3}[/tex]
[tex]x = 700\,cm^{3}[/tex]
Por tanto, deben agregarse 700 centímetros cúbicos para obtener un decímetro cúbico.
C) Sabemos que 0,0001 metros cúbicos equivalen a 0,1 decímetros cúbicos, entonces la cantidad a adicionar a 0,1 decímetos para obtener un decímetro cúbico es:
[tex]x = 1\,dm^{3}-0.1\,dm^{3}[/tex]
[tex]x = 0.9\,dm^{3}[/tex]
Por tanto, deben agregarse 0,0009 decímetros cúbicos para obtener un decímetro cúbico.
D) Sabemos que 1 decímetro cúbico equivale a 1000000 milímetros cúbicos, entonces la cantidad a adicionar 12 milímetros cúbicos es:
[tex]x = 1000000\,mm^{3}-12\,mm^{3}[/tex]
[tex]x = 999988\,mm^{3}[/tex]
Por tanto, deben agregarse 999988 milímetros cúbicos para obtener un decímetro cúbico.
What do you say to misbehaving polor bear?
Answer: You say “You're on thin ice”.
Whats double of 8x4?
Answer:
64
Step-by-step explanation:
cus 8 times 4 is 32 and 32 times 2 is 64
The double of 8 multiplied by 4 is 64. This means that if we multiply 8 by 4 and then multiply the result by 2, we obtain 64. The multiplication operation is performed first (8 * 4 = 32), and then the result is doubled by multiplying it by 2 (2 * 32 = 64).
To find the double of 8 multiplied by 4, we can perform the following calculation:
Double of 8x4 = 2 * (8 * 4)
First, we multiply 8 and 4:
8 * 4 = 32
Next, we multiply the result by 2:
2 * 32 = 64
Therefore, the double of 8 multiplied by 4 is 64. This means that if we multiply 8 by 4 and then multiply the result by 2, we obtain 64. The multiplication operation is performed first (8 * 4 = 32), and then the result is doubled by multiplying it by 2 (2 * 32 = 64).
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Each school year, the seventh graders who study Life Science participate in a special field trip to the city zoo. In 2010, the school paid $1,260 for 84 students to enter the zoo. In 2011, the school paid $1,050 for 70 students to enter the zoo. In 2012, the school paid $1,395 for 93 students to enter the zoo. A. Is the price the school pays each year in entrance fees proportional to the number of students entering the zoo? Explain why or why not.
Answer:
The price is proportional to number of students
Step-by-step explanation:
Given
2010: $1260 for 84 students
2011: $1050 for 70 students
2012: $1395 for 93 students
Required
Determine if the price is proportional to number of students
To do this, we simply divide the price by number of students in each year.
[tex]Ratio = \frac{Price}{Students}[/tex]
In 2010
[tex]Ratio = \frac{\$1260}{84}[/tex]
[tex]Ratio = 15[/tex]
In 2011
[tex]Ratio = \frac{1050}{70}[/tex]
[tex]Ratio = 15[/tex]
In 2012:
[tex]Ratio = \frac{1395}{93}[/tex]
[tex]Ratio = 15[/tex]
Notice that the ratio in the 3 years is 15.
Hence, the price is proportional to number of students
Which of the following best describes the graph shown below?
A. This is the graph of a one-to-one function.
B. This is the graph of a linear function.
C. This is the graph of a function, but it is not one-to-one.
D. This is not the graph of a function.
How would you break down 40% to find 40% of a number? Check all that apply. 46(10%)
2(25%)
10% + 10% + 10% + 10%
25% + 10%
50% + 10% + 10%
Answer:
I guess B?
Step-by-step explanation:
TBH I'm very confused with this problem, but I would probably say B, none of the others make even a remote bit of sense.
Answer:
The answer is A and C or 4(10%) and 10% + 10% + 10% + 10%
Step-by-step explanation:
I got it right on edge.
FOR 10 POINTS
Which of the following arithmetic sequences have a common difference of 2 1/2
Answer: -4,-1.5,1,3.5,6,8.5
Step-by-step explanation: You can check that the difference of any of its consecutive terms is always equal to 2.5.
8.5 - 6 = 2.5
-1.5 - (- 4) = 2.5
3.5 - 1 = 2.5
ות
A dock is 7 3/4m high. The portion of the dock above water one day was measured at 2 2/5m high.
How much of the dock structure was above water that day?
Answer:
dont use this
Step-by-step explanation:
oinf+euiv=4
Х
1
2
3
4
у
2
4
6
8
Determine the slope
Answer:
m=2
Step-by-step explanation:
(1,2), (2,4)
4-2/2-1
2/1
m=2
y/-7 = 1/14
y = ?
pls answer as a reduced fraction.
Answer:
y = -1/2
Step-by-step explanation:
−7⋅
Answer:
y=-1/2Step-by-step explanation:
y/-7=1/14
use cross multiplication
ie,14×y=1×-7 14y= -7 y= -7/14 y= -1/2Hope it helps
This is a long division please can you help me with the all the work in the problem please ;)
Here's the answer I just got it in the potomath
what is 1.7- 0.8=
please help as soon as fast
Answer:
0.9
Step-by-step explanation:
Answer:
0.9!
Step-by-step explanation:
well this is kinda going to be self explantiory just subtract so like 7-8, turn the 7 into 17 and so do 17 -8 which is 9. And since you cannot do 7-8 you have to take the 1 from the 1.7 right so 1-0 will turn into 0-0 with is 0! so 0.9 will be your answer, hopethis helps!
p= 40 + 0.15(40)
= 40 +
Answer:
46
Step-by-step explanation:
p=40+0.15(40)
=40+6
Answer:
40 + 6
Step-by-step explanation:
0.15(40) = 0.15 × 40 = 6I hope this helps!
the difference of a number m and 30 is 10?
Answer:
m - 30 = 10
m = 40
30 - m = 10
m = 20
Hope This Helps!
What does X Mean in the porblem x+9=11
Answer:
2
Step-by-step explanation:
Answer:
2 because 2 plus 9 is 11
Step-by-step explanation:
Divide 555.3 2.4 plsssssss
Answer: 231.375
Step-by-step explanation: Just Have To Divide
Select the two expressions that are equivalent to each other.
A. -7/-3
B. three divided by negative 7
C. 3/7
D. (-7) ÷ 3
E. 7/-3
Answer: D and E
Step-by-step explanation:
write an equation in point-slope form for the line with a slope of 4 that contains (3,-10)
Answer:
y+10=4(x-3)
Step-by-step explanation:
Write the parent function equation for a linear function
Find the slope from the following table: x 2 3 4 y 4 5 6
Answer:
the slope is 1
Step-by-step explanation:
The linear equation is y=x+2
How do I use multiplication to convert 4 and 5/6 into an improper fraction?
Answer:
4 5/6
4×5=20+6=
26/6
26÷2=13
6÷2=3
Answer:
you multiply 4*5/6 which will give you 10/3 which is an improper fraction the decimal form would be 3.3 continuation and the mixed number form would be [tex]3\frac{1}{3}[/tex]
Step-by-step explanation:
31.41 to the neartest hundredth
Answer:
31.4 is the answer
Step-by-step explanation:
Answer:
31.4
I hope this helps!
The local recreation center charges members a registration fee and a separate monthly membership fee. The equation of the function given models the total fee, f(x), in dollars, that a person pays for x months of membership.
f(x)=25x+50
What does the number 25 represent?
A. the initial registration fee
B. the number of months that a person is a member
C. the monthly membership fee
D. the total amount that a member pays in fees