Step-by-step explanation:
Área of a circle is given as
[tex]\pi \times {r}^{2} [/tex]
Therefore you can substitute the values as follows:
[tex]3.14 \times {6}^{2} = 113.09733552923[/tex]
Answer not rounded to any decimal place and used of 3.14 as said in the instruction
The area is:
113.04 in²Explanation:
To find the circle's area, use the formula [tex]\sf{A=\pi r^2}[/tex].
where:
A = area;
π = 3.14 (pi);
r = radius
Diagram:
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 6\ in}\end{picture}[/tex]
Plug in the data:
[tex]\sf{A=3.14\times6^2}[/tex]
[tex]\sf{A=3.14\times36}[/tex]
[tex]\sf{A=113.04\:in^2}[/tex]
A travel agency surveyed 70 of their clients who had visited Europe about international travel. Of the 70 clients who had visited Europe, 60 had traveled to England, France, or both. Of those 60 clients, 45 had visited England, and 50 had visited France.
c. What is the probability that a randomly chosen participant in the survey will have visited both England and France? Explain your reasoning.
The probability that a randomly chosen participant in the survey will have visited both England and France is 0.5
Given data
number of clients = 70
travelled to England , France or both = 60
travelled to England = 45
travelled to France = 50
How to find the probability that a randomly chosen participant in the survey will have visited both England and Francelet:
E represent the client that visited England only,
F represent the number of client that visited France only,
EF represent the number of clients that visited both England and France only
we have
E + F + EF = 60
45 - EF + 50 - EF + EF = 60
45 + 50 - EF = 60
95 - EF = 60
95 - 60 = EF
EF = 35
E = 10
F = 15
probability
Pr = required outcome / possible outcome
= EF / clients surveyed
= 35 / 70
= 0.5
Explanation
EF represents the number of clients that visited England and France only, and it was solved to be 35. probability is the ratio of required outcome which 35 to the possible outcome which is the total number of clients 70. The ratio gives 0.5
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Drag and drop the correct answer choice to each answer blank.
The length of four rivers in Africa is shown in the table below.
River Length (feet)
Nile 21,800,000
Congo 15,010,000
Ubangi 3,520,000
Zambezi 83,800,000
How is the length of the Zambezi river written in scientific notation?
Answer:
8.38 × 10^7
Step-by-step explanation:
first digit of number X 10 raised to however many digits are after the first
The solution is Option D.
The length of the Zambezi river written in scientific notation is
L = 8.38 x 10⁷ feet
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
The length of the Zambezi river in feet L = 83,800,000 feet
Now , the scientific notation is given by in powers of 10
So ,
The value of L in scientific notation is given by
The value of L = 838 x 10⁵ feet
The value of L = 8.38 x 10² x 10⁵ feet
So , on simplifying the equation , we get
The value of L = 8.38 x 10⁷ feet
Therefore , the value of L is 8.38 x 10⁷ feet
Hence , The length of the Zambezi river written in scientific notation is
L = 8.38 x 10⁷ feet
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please help i’ll give brainliest!!
LABD = 99° and ZCBD = 9x - 9
x = [?]
Answer:
x = 12
Step-by-step explanation:
Given congruent triangles ABD and CBD, and expressions for corresponding angles ABD and CBD, you want the value of x in the expression for angle CBD.
CongruenceCorresponding parts of congruent triangles are congruent, so we know ...
∠ABD ≅ ∠CBD
99° = (9x -9)° . . . . use the given expressions
11 = x -1 . . . . . . . . divide by 9°
12 = x . . . . . . . . add 1
The value of x is 12.
Hollie earned $1230 a week last year. What was her yearly salary?
Answer: 63,960
Step-by-step explanation:
Answer:
$63960
Step-by-step explanation:
tbh if i made that salary tho
Jason biked 60 miles. he averaged 15 miles per hour. how long did he ride?
Answer:
4 hr
Step-by-step explanation:
Find the percent of change in altitude if a weather balloon moves from 100 ft to 103 ft. describe the percent of change as an increase or decrease. round to the nearest tenth if necessary.
The percent of change is an increase in altitude of the weather balloon.
Percentage changeOriginal altitude = 100 ftNew altitude = 103 ftChange in altitude = New altitude - Original altitude
= 103 ft - 100 ft
= 3 ft
Percentage change = Change in altitude / Original altitude × 100
= 3 / 100 × 100
= 3%
Therefore, the percentage change in the altitude of the weather balloon is 3%.
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solve for x please, ty
By using properties of right triangles, we will see that the value of x is 7.72
How to find the length of side x?In the image we have a set of right triangles, and we want to find the value of x.
Let's look at the large triangle in the left, we know that the hypotenuse measures 18 units and one angle measures 64°, with that information we can get the adjacent side (the dashed line, let's call it A) to that angle:
Cos(64°) = A/18
18*cos(64°) = A = 7.05
Now we know one of the cathetus of the smaller right triangle (the one we can see in the right side). Here we know one angle that measures 20° and the opposite to that angle measures 7.05
Then the value of x is given by the equation:
x = 7.05/sin(20°) = 7.72
We conclude that the value of x is 7.72
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Multiply numbers with decimals
2.34 x 1.6
Answer:
3.744
Step-by-step explanation:
2.34
* 1.6
-------
1404
+
234
---------
3.744
explain the GCF method with an example??
THIS IS FOR 50 POINTS AND A BRAINLYS! BUT IF IT WRONG I WILL REPORT YOU!
When you add or subtract whole numbers, always start with the ______.
hundreds
tenths
ones
tens
Answer:
ones
Step-by-step explanation:
always start with the smallest number
Answer:
ones
then tens, tenths, hundreths
Step-by-step explanation:
hope this helps
-5x divided by 2 >37
Answer: x < -14.8
Step-by-step explanation:
To solve for x, we will isolate the x-variable.
Given:
[tex]\frac{-5x}{2}[/tex] > 37
Multiply both sides of the equation by 2:
-5x > 74
Divide both sides of the equation by -5:
➜ Since we are dividing by a negative, we will flip the direction of the sign.
x < -14.8
A soccer ball was kicked toward the goal. the horizontal component of velocity was 22 m/s and the vertical component was 12 m/s . what is the magnitude of the resultant velocity of the soccer ball?
The magnitude of the resultant velocity of the soccer ball is 25.06 m/s .
Let the horizontal component of velocity be [tex]V_{x}[/tex] and the vertical component of velocity be [tex]V_{y}[/tex].
The magnitude of the resultant velocity will be represented by V.
So, we can write
The horizontal component of velocity = [tex]V_{x}[/tex] = 22 m/s
The vertical component of velocity = [tex]V_{y}[/tex] = 12 m/s
The relation between horizontal component, vertical component and resultant velocity is,
[tex]V^{2} = V_{x} ^{2} + V_{y} ^{2}[/tex]
On substituting value of horizontal component and vertical component, we get
[tex]V^{2}[/tex] = [tex](22)^{2} + (12)^{2}[/tex]
[tex]V^{2}[/tex] = 484 + 144
[tex]V^{2}[/tex] = 628
V = [tex]\sqrt{628}[/tex]
V = 25.06 m/s
The magnitude of the resultant velocity of the soccer ball is 25.06 m/s .
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Find the value of b for this line
Answer:
b = - 12
Step-by-step explanation:
substituting m = [tex]\frac{4}{5}[/tex] , x = 10, y = - 4 into y = mx + b , gives
- 4 = ([tex]\frac{4}{5}[/tex] × 10) + b
- 4 = (4 × 2) + b
- 4 = 8 + b ( subtract 8 from both sides )
- 12 = b
Pls helppp me i will give points
Answer:
The first one I think xx
A certain vine grows at a rate of three inches per day. A researcher starts observing it
when it is 27 inches long.
I
1) What is the meaning of three inches in the problem?
2) What is 27 inches represent in the problem?
3) How long will be the vine after one day?
after two days?
4) Write an algebraic expression to represent the length of the vine after n days.
+
A certain vine grows at a rate of three inches per day. A researcher starts observing it
when it is 27 inches long.
I
1) What is the meaning of three inches in the problem?
2) What is 27 inches represent in the problem?
3) How long will be the vine after one day?
after two days?
4) Write an algebraic expression to represent the length of the vine after n days.
ans
during a summer thunderstorm, the temperature drops and then rises again. the rate of change of the temperature during the hour and a half after the storm began is given by t(h) = 9.5h3 − 15.5h2 + 17.4h − 10.12°f per hour
According to the given statement One and half hour after the summer thunderstorm began, the temperature was approximately 1.0°F flower than at the start of the storm.
How is the rate of temperature change determined?Subtract the final temperature from the starting temperature to get the temperature change (T). Multiply the temperature change by the sample's mass. Share the product's energy and heat output.
The equation is C = Q / (T m).
According to the given information:Consider the function t as defined below. t(h)=9.5h – 15.52 +17.4h-10.12
Here,
h is the number of hours after storm began.
The function t represents the rate of change of temperature in °F per hour during the hour and a half after the storm began.
During the storm, the temperatures lowers and then rises.
One and half hour after the summer thunderstorm began, the temperature was approximately 1.0°F flower than at the start of the storm.
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Directions: Use what you have learned this week in class to answer the question. You should show your work or explain your reasoning in mathematical terms. Be specific. Draw a picture if you need to.
please help i need this done HELPPPPPPPASAP
Question:
Evelyn has some paracord with a total length of 5-½ meters. She needs to cut the cord into 12 equal portions. What is the length of each piece written as a fraction? Is this value rational or irrational; why?
Work/Reasoning & Answer:
Answer: Nachelle is 1.35 meters tall. At 2 p.m., she measures the length of a tree's shadow to be 24.15 meters. She stands 19.2 meters away from the tree, so … that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Step-by-step explanation:
If 1 kilogram = 2.205 pounds, converting 165 pounds to kilograms and rounding to the nearest tenth gives
The value of 165 pounds is 74.8 kilograms
How to convert the metric units?The given parameter is:
1 kilogram = 2.205 pounds
Multiply both sides by 165
So, we have
165 * 1 kilogram = 2.205 pounds * 165
Divide both sides by 2.205
So, we have
165/2.205 * 1 kilogram = 2.205 pounds * 165/2.205
Evaluate the products
So, we have
74.8 kilogram = 165 pounds
Rewrite as
165 pounds = 74.8 kilogram
Hence, the value of 165 pounds is 74.8 kilograms
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A shopping mall has $20,000 to spend on new tiles for the floor. If each tile costs $2, how many tiles can the mall buy
oopss wrong one my bad
In Exercises 31−34, tell whether the data in the table can be modeled by a linear equation. Explain. If possible, write a linear equation that represents y as a function of x. Help with 34 ; please include a explanation. Thanks
The slope across the values of the table are not the same, therefore, the table cannot be modelled by a linear equation.
How to Determine a Linear Equation Table?If a table can be represented by a linear equation, then the slope/rate of change between every two pairs of values on the table must be the same. If it's not, then it is not a linear equation that represents y as a function of x.
Slope/rate of change between (1, 18) and (2, 15):
Slope = 18 - 15/1 - 2
Slope =-3
Slope/rate of change between (2, 15) and (8, 9):
Slope = 15 - 9 / 2 - 8
Slope = 6/-6 =
Slope = -1
Therefore, the slope across the values of the table are not the same, therefore, the table cannot be modelled by a linear equation.
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Out of the four measures in the survey, which two variables have the highest correlation?
variables having the highest correlation are -
Wait time acceptable RespectWhat does it mean to have a high correlation?A strong correlation, also known as a high correlation, indicates that two or more variables have a significant link with one another, whereas a weak or low correlation indicates that the variables are rarely associated. The process of examining the strength of such association with the use of available statistical data is known as correlation analysis.
Complete question -Out of the four measures in the survey, which two variables have the highest correlation?
Patient would recommend and Enough informationWait time acceptable and RespectPatient would recommend and RespectPatient would recommend and Wait time acceptableTo learn more about correlation from given link
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1-8 closure property fundamentals of algebra
The closure property is defined as the completion of a collection of numbers by using arithmetic operations.
The closure property asserts that when an arithmetic operation such as addition, subtraction, multiplication, or division is done on any two numbers in the set, the response is another number from the same set.The closure property essentially asserts that when we add or multiply any two real numbers, we will obtain just one unique response, which will likewise be a real number. The commutative property asserts that the order of the numbers does not matter when adding or multiplying real numbers.For example, the closure property is true for whole numbers over addition and multiplication.To learn more about closure property, visit :
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There are 18 cans of peas in a case. each can of peas is 12 ounces. if a case of peas costs $14.22, what is the unit price per can of peas? a. $0.07 b. $0.08 c. $0.79 d. $1.19 please select the best answer from the choices provided a b c d
The correct answer is option c. $0.79
As per the question:
No. of pea cans in a case = 18 cans
Weight of each can of peas = 12 ounces
Price of a case of peas = $14.22
The information regarding the weight of each can is redundant in this question and therefore, is not used for solving the question
Therefore, the formula to be used for solving:
Price per unit can of peas= (Price of a case of peas/No of pea cans in a case)
Price per unit can of peas= ($14.22/18)
The price per unit can of peas= $0.79
Hence, option c is the correct answer
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Robert wants to buy a digital piano at a yard sale.
Factoring quadratics 15x^2-14x+3
Step-by-step explanation:
15x²-14x+3
Product =45
Sum=-14
=(-9,-5)
15x²-9x-5x+3
3x(5x-3)-1(5x+3)
=(5x-3)(3x-1)
Find the inequality represented by the graph.
Answer:
[tex]y\le -\frac{1}{3}x + 1[/tex]
Step-by-step explanation:
The equation of the line is y = mx + b
where
m is the slope = rise/run
b = y-intercept ie where the line crosses the y-axis at x = 0
The line crosses the y axis at y = 1 so the y-intercept is 1 and the point at which the line crosses is (0, 1)
We have the equation as
y = mx + 1
To find the slope, take any two points on the line. Find the corresponding difference in the y values and divide this difference by the corresponding difference in the x values
Two convenient points are (0, 1) and (3, 0)
Slope = [tex]\frac{0-1}{3-0} = -\frac{1}{3}[/tex]
Equation of the line :
[tex]y = -\frac{1}{3}x + 1[/tex]
To find out if the inequality in the shaded region is a ≥ or a ≤ inequality, take a point in the shaded region. Determine whether the chosen point x, y values satisfy which of the following equations
[tex]y\le -\frac{1}{3}x + 1[/tex] (1)
or
[tex]y\ge -\frac{1}{3}x + 1[/tex] (2)
The point (0,0) is inside the shaded region
Plug in these values into inequality (1)
[tex]0 = -\frac{1}{3}\cdot0 + 1[/tex] = 1
Is 0 ≤ 1 ?
Indeed it is so the inequality is
[tex]y\le -\frac{1}{3}x + 1[/tex] (Answer)
The region on the opposite side of the line must be a ≥ inqeuality
The attached graph makes it clearer
What is the sum?I need help right now!!!
Answer:
12
Step-by-step explanation:
2 times 2 equals 4, 4 times 3 gets you 12.
the exponent 2 above the original 2 simply means to just times the original number by 2.
Note:
Love your handwriting!
Find the area of the shaded region in the first quadrant bounded by the line y=3x
The area of the shaded region in the first quadrant is: 0.75 units
What is area under a curve?The area under a curve between two points can be found by doing a definite integral between the two points.
Now,
Given:
x = 0, y = 2Curve: y = 3x - x²To find: area bounded by the given lines and curve in the first quadrant.
Finding:
Now, according to the question, the lines x = 0 and y = 2 intersect at the point (0,2).
Point of Intersection of y = 2 and y = 3x - x²:
2 = 3x - x²
=> x² - 3x + 2 = 0
=> (x - 2)(x - 1) = 0
That is, the line and the curve intersect at two points: ( 1 , 2) and (2,2). But the point that is of our importance is only (1,2).
Thus, area shaded = [tex]\int\limits^1_0 {2 - 3x +x^{2}} \, dx[/tex] = 0.75 square units.
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(COMPLETE QUESTION:
What is the area in the first quadrant bounded by y=3x-x³ and the lines x=0, y=2?)
Subtract using the number line.
7- (-1)
+++
-10 -8 -6 -4 -2
Enter your answer in the box.
1
0
2
4
6
+
8 10
Answer:
The question isn't clear but i try to do for 7-(-1) solution only. 7-(-1) =8 mean that 7+1=8
converse of if a triangle has either two equal sides or two equal angles, then it is an isosceles triangle
It is an isosceles triangle if a triangle has either two equal sides or two equal angles,
What is converse of a statement?The converse of a statement is formed by switching the hypothesis and the conclusion.
Given the statement 'if a triangle has either two equal sides or two equal angles, then it is an isosceles triangle'
Hypothesis - if a triangle has either two equal sides or two equal angles, Conclusion - then it is an isosceles triangle
The converse will be created by switching the hypothesis with conclusion and vice versa to have ' It is an isosceles triangle if a triangle has either two equal sides or two equal angles,
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