Answers
Answer: [tex]7\pi[/tex]
Step-by-step explanation:
The area of the entire circle is [tex](\pi)(3^{2})=9\pi[/tex]
The area of each of the smaller circles is [tex](1^{2})(\pi)=\pi[/tex], so their combined area is [tex]2\pi[/tex].
By subtracting areas, we get the area of the shaded region is [tex]7\pi[/tex].
Related Questions
What is the perimeter of the rectangle shown below?
Answers
Answer: D. 26 units
Step-by-step explanation: perimeter is the distance around the figure, or all the sides added together.
With a rectangle it is known that the opposite sides are congruent, or the same, so 8+8+5+5 = 26
Select the correct answer.
What is the value of this expression when a = 2 and b = -3?
a³ - 6³
5
Answers
-208
Explanation:
If the complete expression is a³ – 6³
then a³ – 6³ with a being equal to 2 is
(2)³ – (6)³ =
(2 × 2 × 2) – (6 × 6 × 6)
=
(4 × 2) – (36 × 6)
=
(8) – (216)
=
-208
This is done with substitution, just do the arithmetic with 2 in the place of a.
Answer: 7
Step-by-step explanation:
Substitute the given values of a and b into the expression:
(a)3 - (b)3 = (2)3- (3)3
5 5
Then evaluate the expression using the order of operations:
8- (-27) = 35/5
5
= 7
8y+4,st = 4y +8 rt=36
Answers
The value of y is 2
How to solve for y?The complete question is in the image
From the complete question, we have:
rs + st = rt
This gives
8y + 4 + 4y + 8 = 36
Evaluate the like terms
12y = 24
Divide by 12
y = 2
Hence, the value of y is 2
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Rice is sold at Ghc56.00 per bag of 50kg. A trader bought some bags of rice and paid GHc1,344.00.
How many bags of rice did the trader buy
Answers
if 1bag is 56.00
x bags= 1344.00
solution
[tex] \frac{1344.00}{56.00} = 24[/tex]
the trader bought 24 50kg bags of rice
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What prism or other 3-dimensional shape would you use to model the tree trunk below? (Rectangular prism, triangular prism, square prism, or cylinder). If the height of the tree trunk is 13 ft and the radius is 1.5 ft, what is the volume in cubic feet? Round to the nearest tenth.
Answers
Answer:
A cylinder,
91.9 ft^3 to nearest tenth.
Step-by-step explanation:
That would be a cylinder,
Volume of the given tree trunk
= π r^2 h
= π * 1.5^2 * 13
= 91.89 ft^3.
For the following exercises, solve each inequality and write the solution in interval notation.
30. 2| v − 7 | − 4 ≥ 42
Answers
Answer:
The solution to the inequality [tex]$2|v-7|-4 \geq 42$[/tex] in interval notation is given by [tex]$-16 \leq v \leq 30$[/tex].
Step-by-step explanation:
An absolute value inequality [tex]$2|v-7|-4 \geq 42$[/tex] is given.
It is required to solve the inequality and write the solution in interval form.
To write the solution, first solve the given absolute value inequality algebraically and then write it in interval notation.
Step 1 of 4
The given absolute value inequality is [tex]$2|v-7|-4 \geq 42$[/tex].
Add on both 4 sides,
[tex]$$\begin{aligned}&2|v-7|-4 \geq 42 \\&2|v-7|-4+4 \geq 42+4 \\&2|v-7| \geq 46\end{aligned}$$[/tex]
Step 2 of 4
Divide by 2 on both sides,
[tex]$$\begin{aligned}&\frac{2|v-7|}{2} \geq \frac{46}{2} \\&|v-7| \geq 23\end{aligned}$$[/tex]
The inequality can be written as [tex]$v-7 \leq 23$[/tex] and [tex]$v-7 \geq-23$[/tex]
Step 3 of 4
First solve the inequality, [tex]$v-7 \leq 23$[/tex].
Add 7 on both sides,
[tex]$$\begin{aligned}&v-7 \leq 23 \\&v-7+7 \leq 23+7 \\&v \leq 30\end{aligned}$$[/tex]
Step 4 of 4
Solve the inequality [tex]$v-7 \geq-23$[/tex].
Add 7 on both sides,
[tex]$$\begin{aligned}&v-7 \geq-23 \\&v-7+7 \geq-23+7 \\&v \geq-16\end{aligned}$$[/tex]
The solution of the inequality in interval notation is given by [tex]$-16 \leq v \leq 30$[/tex].
Keira and Nathan are dragging a box across a floor, as shown in the diagram on the left. Kiera pulls at an angle of 30below the horizontal and with a force of 80 poundsNathan pulls at an angle of 50 degrees above the horizontal and with a force of 85 pounds. The diagram on the right shows the triangle that represents this situation . What is the magnitude of the resultant force acting on the box ?
Answers
Answer:
165.0
30 plus 50 plus the 85 equals 165
The magnitude of the resultant force acting on the box is 126.4 pounds.
Hence the correct answer is C.
Given that Kiera pulls at an angle of 30below the horizontal and with a force of 80 pounds Nathan pulls at an angle of 50 degrees above the horizontal and with a force of 85 pounds.
We need to determine the magnitude of the resultant force acting on the box.
To find the magnitude of the resultant force acting on the box, we can use the law of cosines.
The law of cosines states that for any triangle with sides of lengths a, b, and c, and an angle θ opposite to side c, the following equation holds:
c² = a² + b² - 2ab × cos(θ)
In this case, we have a triangle formed by the two forces exerted by Keira and Nathan, and we want to find the magnitude of the resultant force, which corresponds to side c.
Let's assign the following values:
a = 80 pounds (force exerted by Keira)
b = 85 pounds (force exerted by Nathan)
θ = 180° - 30° - 50° (angle opposite to the resultant force)
θ = 100°
Now we can plug these values into the law of cosines equation:
[tex]F = \sqrt{80^2 + 85^2 -2\times 80 \times 85\times \cos100}[/tex]
Solving we get,
F = 126.4
Hence the magnitude of the resultant force acting on the box is 126.4 pounds.
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x + 7 = -9 expressions
Answers
Answer:
x = -16Step-by-step explanation:
x + 7 = -9
Subtract 7 from both sides
x + 7 - 7 = -9 - 7
Simplify
x = -16
Answer:
x=-16
Step-by-step explanation:
x+7=-9
x=-9-7
x=-16
Explain when the solution set of an inequality will be the empty set or the set of all real numbers. Show an example of each.
Answers
Answer:
There are two cases when the solution set of an inequality will be the empty set or the set of all real numbers.
The first case is when the inequality is always false no matter what value is chosen for the variable. For example, the inequality x > 5 has no solution because there is no value of x that is greater than 5. In this case, the solution set is the empty set.
The second case is when the inequality is always true no matter what value is chosen for the variable. For example, the inequality x > -∞ has infinitely many solutions because there is no value of x that is not greater than -∞. In this case, the solution set is the set of all real numbers.
Step-by-step explanation:
5/7 - 3/2 in simplest form HELP ASAP
Answers
[tex] \frac{5}{7} \: - \: \frac{3}{2} [/tex]
First, we find the lowest common denominator which is "14", we put it in the common numerator.[tex] \frac{10 \: - \: 21}{14} [/tex]
We subtract the numbers.[tex] \boxed{ \bold{- \frac{11}{14} }}[/tex]
MissSpanish[tex]\boldsymbol{\sf{\dfrac{5}{7}-\dfrac{3}{2} }}[/tex]
The least common multiple of 7 and 2 is 14. Convert 5/7 and 3/2 to fractions with like denominators.
[tex]\boldsymbol{\sf{ \dfrac{5\times2}{7\times2}-\dfrac{3\times7}{2\times7} \ \ \to \ \ \ Simplify }}[/tex]
[tex]\boldsymbol{\sf{\dfrac{10}{14}-\dfrac{21}{14} }}[/tex]
Since 10/14 and 21/14 have the same denominator, subtract their numerators to subtract them.
[tex]\boldsymbol{\sf{\dfrac{10-21}{14} \ \ \to \ \ \ Subtract}}[/tex]
Subtract 21 from 10 to get −11.
[tex]\red{\boxed{\boldsymbol{\sf{-\frac{11}{14} }}}} \ \ \to \ \ \boldsymbol{\sf{Answer}}[/tex]
{ Pisces04 }What is the range of f?
Answers
Answer: [tex][-3,7][/tex]
Step-by-step explanation:
The range of a function is the set of y-values
How do I do the distribution table and the proccess plss help
Answers
Answer + Step-by-step explanation:
p(X=3) = the probability that X is equal to 1 or 2 or 3 minus (the probability that X is equal to 2 plus the probability that X is equal to 1)
Because ,when X = 2 or X = 1 the largest number is not 3 so we have to subtract those values .
……………………………………………………………
the probability that X is equal to 1 or 2 or 3 is :
[tex](\frac{3}{6} )^4 = \frac{81}{1296}[/tex]
Then
[tex]p\left( X=3\right) =\frac{81}{1296} -(\frac{1}{1296} +\frac{15}{1296}) =\frac{65}{1296}\\\\p\left( X=4\right) =\frac{4^4}{1296} -(\frac{1}{1296} +\frac{15}{1296}+\frac{65}{1296}) =\frac{175}{1296}\\\\p\left( X=5\right) =\frac{5^4}{1296} -(\frac{1}{1296} +\frac{15}{1296}+\frac{65}{1296}+\frac{175}{1296}) =\frac{369}{1296}[/tex]
Verification:
1+15+65+175+369+671 = 1 296
Which of the following are not polynomials?
A. x² +2√x+1
B.x²+x+1
C. 2/3x2+x+1
D. x2+√2x+1
E. x-2+x+1
Answers
Answer: A, C, E
Step-by-step explanation:
These are not polynomials because there is one term where the variable has an exponent that is not a positive integer.
6. (04.05 MC)
Which Inequality matches the graph? (1 point)
-2x+3y>7
2x+3y <7
-3x+2y>7
3x-2y <7
Answers
Answer: is D
Step-by-step explanation:
Select all of the options which are examples of expenditure.
Answers
Giving money to charity
Buying food at a supermarket
Lending money to a friend
A company produces packets of soap powder labeled Giant Size 32 Ounces. The actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz. and a standard deviation of 0.7 oz. To avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. To avoid losing money, it labels the top 5% (the heaviest 5%) overweight. How heavy does a box have to be for it to be labeled overweight
Answers
In order to be labeled overweight the weight of box should be of 34.15 ounces.
Given mean of 33 ounces, standard deviation=0.7 ounces. Production of packets of 32 ounces.
Because it is normally distributed samples are solved using the z score formula.
In this Z=X-meu/st
meu is sample mean and st is population standard deviation.
We have to find the z score and then p value from the z table.
meu =33 and st=0.7
Top 5% so X when Z has a p value of 1-0.05=0.95. So X when Z=1.645.
Z=(X-meu)/st
1.645=(X-33)/0.7
X-33=0.7*1.645
X-33=1.1515
X=1.1515+33
X=34.1515 ounces.
Hence to be labeled overweight the box must have 34.15 ounces weight.
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What is the length of the side opposite the 60° angle?
Answers
Answer: 90
Step-by-step explanation:
opposite side is 90
Answer:
6√3
Step-by-step explanation:
This is a 30-60-90 triangle meaning that the hypotenuse is 2 times the shorter leg and the leg opposite of the 60-degree angle is √3 times larger than the shorter leg.
6*√3 = 6√3
If a researcher counting how many seconds each bystander helps a stranger Struggling to pick up a heavy box
Answers
Answer:
You didn't finish the whole question.
Step-by-step explanation:
We have to calculate mean of the data.
Mean is the sum of numbers divided by total numbers included.
Mean=∑X/n
where n is the number.
Mean =(10+15+10)/3
=35/3
=11.67
What do you understand by mean ?in mathematics, a quantity that has a value intermediate between those of the extreme members of some set. numerous types of manner exist, and the method of calculating an average depends upon the relationship known or assumed to control the alternative members.
The mean, or average, is calculated by adding up the scores and dividing the whole by the number of scores. consider the following number set: 3, 4, 6, 6, 8, 9, 11. The mean is calculated in the following way: 3 + 4 + 6 + 6 + 8 + 9 + 15 = 51
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The equations in this sytem were added to solve for x. What is the value of x?
-8x+8y=8
3x-8y=-18
-5x =-10
Answers
in the given system of equations, the value of x is 2
Simultaneous linear equationFrom the question, we are to determine the value of x
The simplified equation is
-5x = -10
To determine the value of x, we will divide both sides by -5
-5x/-5 = -10/-5
x = 2
Hence, the value of x is 2
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What is the TV's length?
Answers
Answer:
32.75 inches
Step-by-step explanation:
Pythagoras' theorem. The long length squared minus the short length squared gives you the answer squared, so square root it :)
please help ill give whoever has the best answer the brainliest answer
Answers
Answer:
It would be B the distance from the ground to the kite :)
Step-by-step explanation:
The graph shows this situation best out of the other 3 choices!
Have an amazing day!!
Please rate and mark brainliest!!
What is 78 to the square root closer to
Answers
Answer:
The square root of 78 is: 8.8317608663278468547640427269593.
This number is closer to the number 9.
Step-by-step explanation:
Use calculator to find square root. Then round it up.
Hope this helps!
If not, I am sorry.
The coordinates of CD are C (-7,-2) and D (-3,-5). Point E is the midpoint of CD. What are the coordinates of the midpoint E?
Answers
The coordinates of the midpoint of CD with endpoint at C(-7,-2) and D(-3,-5) is E(-5, -3.5)
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let (x, y) represent the coordinate of the midpoint E. Point E is the midpoint of CD, hence:
x = [(-7) + (-3)] / 2 = -5
y = [(-2) + (-5)] / 2 = -3.5
The coordinates of the midpoint of CD with endpoint at C(-7,-2) and D(-3,-5) is E(-5, -3.5)
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Does this table represent a function? Why or why not?
X
2234
5
y
1
4
4
2
5
OA. No, because one x-value corresponds to two different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
OC. No, because two of the y-values are the same.
D. Yes, because there are two x-values that are the same.
Answers
No, because one x-value corresponds to two different y-values.
How to determine the true statement about the table?The table of value is given as:
x 2 2 3 4 5
y 1 4 4 2 5
From the above table, we have:
When x = 2, y = 1 and 4
This means that 1 value of x points to multiple values of y
The above means that the table does not represent a function
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The vertex of the graph of f(x)=|X-3|+6 is located at
Answers
The vertex of the graph of f(x)= |x-3|+6 is located at (3, 6)
How to determine the vertex?The equation of the function is given as:
f(x) = |x - 3| + 6
The above function is an absolute value function.
An absolute value function is represented as:
f(x) = a|x - h| + k
Where:
Vertex = (h, k)
By comparison, we have:
Vertex = (3, 6)
Hence, the vertex of the graph of f(x)= |x-3|+6 is located at (3, 6)
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Lines DE and AB intersect at point C.
Mark this and return
A.
(3
B
(2x+2)
(5x+3)*
E
What is the value of x?
O 12
O 25
O38
O 52
Save and Exit
Next
51:10
Submit
Answers
Answer:
25
Step-by-step explanation:
the answer is 25 because I searched it on socratic
Find a in degrees.
a
6
√11
5
? ]°
Round to the nearest hundredth.
Answers
Answer:
33.55°
Step-by-step explanation:
let alpha be X
sin x= √11/6
sin x= 0.5527
x= sin-1 0.5527
x= 33.55°
The Torrey family was on vacation. One day, they spent $140 for a motel room, $130 for meals, and $200 at a park. How much money did they spend that day?
Answers
Answer:
$470
Step-by-step explanation:
Add all the amounts given.
200+140+130=470
They spent $470 that day.
Hope this helps!
If not, I am sorry.
Answer:
470
Step-by-step explanation:
140+130+200= 470
They said that day, which means all together. So we add.
BRAINLIEST, URGENT
A ride at an amusement park repeatedly drops riders four times to the bottom of a tower and rises back up one-half the height that it drops each time it reaches the bottom. The ride initially drops riders from a distance of 50.0 meters above the bottom of the tower. What is the ride's maximum height above the bottom of the tower, in meters, between the second and third time it reaches the bottom of the tower?
Answers
Answer:
12.5 m
Step-by-step explanation:
1st drop 50 m
2nd drop 50/2 = 25 m
3rd drop 25/2 = 12.5 m
I need help
are they no solution or infinite solutions?
I'm getting ready for high school so I'm reviewing 8th grade math.
Answers
Answer:
1. No.
2. Yes, there is no solution here.
Step-by-step explanation:
The former:
[tex]8(5x - 3) = 6(-3x - 4); \\ 8 * 5x - 8 * 3 = 6 * (-3x) - 6 * 4; \\ 40x - 24 = -18x - 24; \\ 40x + 18x = -24 + 24; \\ 58x = 0; \\ x = 0.[/tex]
[tex]\{0\}[/tex] is our set of solutions.
The latter:
[tex]3x - 13 = 7(x + 2) - 4(x - 7); \\ 3x - 13 = 7x + 7 * 2 - 4x - 4 * (-7); \\ 3x - 13 = 7x + 14 - 4x + 28; \\ 7x - 4x - 3x = -13 - 14 - 28;\\ 0x = 55; \\ x \in \emptyset.[/tex]
In other words, there is not any solution from the set of real numbers that suits us.