In FGH, mF = 65, mG = 55, and mH = 60. Which side of FGH is the shortest?
Answer: Fh is the shortest
Kylie drew a circle with a diameter of 8 cm. Paige drew a circle with a radius of 3 cm. Approximately how much larger is the area of Kylie’s circle than the area of Paige’s circle? Use 3.14 for mc022-1.jpg and round to the nearest whole number.
Answer: Approximately 21.98cm larger.
Step-by-step explanation: The area of a circle is A = π·r², where r is the radius of the circle.
Kyle's circle has a diameter of 8cm, which means it has a radius of 4cm.
Calculating the area, it is:
A1 = 3.14.4² = 50.24
Paige's circle has a radius of 3cm, so the area will be:
A2 = 3.14·3² = 28.26
To see how much larger:
50.24 - 28.26 = 21.98cm
So Kyle's circle is 21.98 cm larger.
How much more would $1,000 earn in 5 years in an account compounded continuously than an account compounded quarterly if the interest rate on both accounts is $3.7%
Answer: There is a difference of $ 1.0228.
Explanation: Given, initial amount or principal = $ 1000,
Time= 5 years and given compound rate of interest = $3.7%
Now, Since the amount in compound continuously,
[tex]A= Pe^{rt}[/tex] , where, r is the rate of compound interest, P is the principal amount and t is the time.
Here, P=$ 1000, t=5 years and r= $3.7%,
Thus, amount in compound continuously , [tex]A=1000e^{3.7\times5/100}[/tex]
⇒[tex]A=1000e^{18.5}=1000\times 1.20321844013=1203.21844013[/tex]
Therefore, interest in this compound continuously rate =1203.21844013-1000=203.21844013
now, Since the amount in compound quarterly,
[tex]A=P(1+\frac{r/4}{100} )^{4t}[/tex], where, r is the rate of compound interest, P is the principal amount and t is the time.
Thus, amount in compound quarterly, [tex]A=1000(1+\frac{3.7/4}{100} )^{4\times5}[/tex]
⇒[tex]A=1000(1+\frac{3.7}{400} )^{20}[/tex]
⇒[tex]A=1000(1+\frac{3.7}{400} )^{20}[/tex]
⇒[tex]A= 1202.19567617[/tex]
Therefore, interest in this compound quarterly rate=1202.19567617-1000=202.19567617
So, the difference in these interests=203.21844013-202.19567617=1.02276396 ≈1.0228
Mr. Calloway has a rectangular yard that is 120 feet wide and 80 feet deep. To keep his dogs on his property, he needs to build a fence. How much fencing does he need
To find the amount of fencing needed, we calculate the perimeter of the yard. The formula is 2*(length + width), equating to 2*(120 feet + 80 feet), which equals 400 feet.
Explanation:The area needed to be fenced is the perimeter of the rectangular yard. We can find the perimeter of a rectangle by using the formula: Perimeter = 2*(length + width). In this case, the length of the yard is 120 feet and the width is 80 feet. So, the perimeter of the yard would be: Perimeter = 2*(120 feet + 80 feet) = 2*200 feet = 400 feet. Therefore, Mr. Calloway will need 400 feet of fencing to surround his yard.
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What is the length of chord JK?
how to tell if the histogram is is right skewed
A histogram is right skewed if the tail extends to the right, with most data clustering on the left, and the mode, median, and mean increase in that order. This indicates that the higher values are more spread out.
Explanation:To determine if a histogram is right skewed, observe where the majority of the data points lie and the direction in which the tail extends. A right-skewed histogram, also known as a positively skewed histogram, will have a tail that extends to the right. In other words, the greater values are more spread out, and the bulk of the data clusters to the left, with fewer, higher-value outliers pulling the mean to the right.
The characteristics of a right-skewed distribution often include a mode that is less than the median, which in turn is less than the mean. Therefore, by calculating these three statistics, you can gain insights into the skewness of the data. Graphically, if the left side of the graph appears more compact and the right side looks stretched or 'pulled out', then the data are skewed to the right.
For example, if you have a dataset with the values 6, 7, 7, 7, 7, 8, 8, 8, 9, 10, you'll likely find that the mode is 7, while the median and mean are greater than 7, pointing towards a right-skewed distribution.
Suppose that a "word" is any string of seven letters of the lower case english alphabet, with repeated letters allowed. how many "words" begin with r and end with t?
1 * 26 * 26 * 26 * 26 * 26 * 1
A bird seed feeder has the approximate shape of a cone with a diameter of 12 centimeters and a height of 25.5 centimeters. What is the best approximation for the volume of the bird seed feeder? 320.44 cm³ 961.33 cm³ 2883.98 cm³ 3845.31 cm³
Answer: Volume of the bird seed feeder = 961.33 cm³
Step-by-step explanation:
Given shape of bird seed feeder of a cone
Diameter =12cm
So Radius =D/2 =12/2
=6cm
Height = 25.5cm
Volume of cone = [tex]\frac{1}{3 }\times \pi r^{2}h[/tex]
Volume = [tex]\frac{1}{3}\times\pi6^{2}\times25.5[/tex]
Volume =[tex]\frac{1}{3}\times \frac{22}{7}\times36\times25.5[/tex]
Volume = [tex]\frac{20196}{21}[/tex]
Volume = 961.33 cm³(approx)
So the volume of bird seed feeder is 961.33 cm³
The coefficient of the term 76x2 is:
(2 is the exponent of 76x)
I'm a little confused on how to solve this, can anybody help?
Solve the following system of equations and show all work.
y = x^2 + 3
y = x + 5
An acrobat was launched toward a water tank, with an upward velocity of 48 feet per second. The launch point was 32 feet below the water level in the tank. Use the quadratic equation 0 = -16t2 + 48t – 32 to find how much time, t, it took for her to reach the water level in the tank.
Which expression is equivalent to (2x^5+7x^3)-(5x^2-4x^3)
Answer:
2x^5+11x^3−5x^2
Step-by-step explanation:
Math Papa
help needed please.
Please help me I'm so dumb
A flower vase has 5 white lilies, 4 pink roses, and 6 yellow carnations. One flower is chosen at random and given to a woman. Another flower is then chosen at random and given to a different woman. What is the probability that both flowers are pink roses?
49a = 245.....................................................
Becky is 18 and would like to buy a house when she is 36. What is the discount factor for today's prices if the housing values increase 6% per year?
Answer: 35.0%
Step-by-step explanation:
A box has a volume of 135 feet3. The length is same as the height, and the width is 5 times the length. What are the dimensions of the box?
The dimensions of the box are: length=3 feet, width=15 feet, and height=3 feet.
Explanation:This is a classic problem of volume where we need to consider the volume formula of a box, which is length × width × height. The question states that the box has a volume of 135 cubic feet, with the length being the same as the height, and the width being 5 times the length.
To find the dimensions of the box, we can set up the equation: length × 5 ×length × length = 135. Simplifying, we get that the length is the cube root of 135/5, which equals to 3. Thus, the dimensions of the box are: length=3 feet, width=15 feet, and height=3 feet.
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Can someone help with number 3
Best answer gets Brainliest:
The line that is the perpendicular bisector of the segment whose endpoints are R(-1, 6) and S(5, 5)
I have to write the equation of the line in standard form but I can't find out what kind of equation to write for this. Whoever can help me with this will get Brainliest.
Which term describes a function in which the y-values form a geometric sequence? A. Exponential function B. Linear function C. Linear increase D. Exponential growth
Given that (5,-8) is on the graph of f(x), find the corresponding point for the function f(x+2)
Final answer:
The corresponding point for the function f(x+2), given that the point (5,-8) is on the graph of f(x), is (3, -8) due to the horizontal shift of 2 units to the right.
Explanation:
If the point (5,-8) is on the graph of f(x), and we want to find the corresponding point for the function f(x+2), this means that we are dealing with a horizontal shift of the original graph of f(x). The point (5,-8) indicates that when x is 5, the value of f(x) is -8. To find the corresponding point on f(x+2), we need to subtract 2 from the x-coordinate of the original point because the graph of f(x+2) will be shifted 2 units to the right.
Therefore, the corresponding point on the graph of f(x+2) would be (5 - 2, -8), which simplifies to (3, -8).
What is the value of x?
Enter your answer in the box
Simplify . 3 sqrt 10 + 7 sqrt 15 - 6 sqrt 10 -4 sqrt 15
To simplify the expression, combine terms with the same square root.
Explanation:To simplify the expression 3√10 + 7√15 - 6√10 - 4√15, we can combine terms that have the same square root. In this case, the terms with √10 and √15 can be combined.
3√10 - 6√10 + 7√15 - 4√15
= (3 - 6)√10 + (7 - 4)√15
= -3√10 + 3√15
Therefore, the simplified expression is -3√10 + 3√15.
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Please help me with this
The rectangle shown has a perimeter of 62 cm and the given area. its length is 4 more than twice its width. write and solve a system of equations to find the dimensions of the rectangle.
Final answer:
By setting up a system of equations using the perimeter formula and the relationship between the rectangle's length and width, we determine that the width of the rectangle is 9 cm and the length is 22 cm.
Explanation:
To solve the problem, we must set up a system of equations based on the information provided about the perimeter and the given ratio between the length and width of the rectangle. The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width of the rectangle. According to the problem, the perimeter is 62 cm, and the length l is equal to 4 more than twice the width, which we can write as l = 2w + 4.
Using these two equations, we can create the following system to solve for the dimensions of the rectangle:
2l + 2w = 62 (perimeter equation)l = 2w + 4 (length is 4 more than twice the width)Substitute the second equation into the first to get:
2(2w + 4) + 2w = 624w + 8 + 2w = 626w + 8 = 626w = 54w = 9 cm (width of the rectangle)Now substitute w back into the second equation:
l = 2(9) + 4l = 22 cm (length of the rectangle)Thus, the dimensions of the rectangle are a width of 9 cm and a length of 22 cm.
This student council set a goal of raising at least $500 in a flower sale, it has raised $415. How many more dollars does the student council need to raise to reach its goal
Find the point on the line 4x+4y+5=0 which is closest to the point (−2,−3).
A recipe for cookies calls for 2⁄3 of a cup of chocolate chips and 4 cups of flour. If you want to make a bigger batch, using 6 cups of flour, how many cups of chocolate chips will you need?
Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20. If she plans for them in 12 equal payments, what’s her monthly cost?
The monthly cost will be $62.88 if Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20.
What is debt?It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.
We know the formula for the monthly payment:
[tex]\rm Monthly \ Payment \:=\:\dfrac{\left A\left(i\right)\left(1+i\right)^{n}\right}{\left(1+i\right)^{n}-1}[/tex]
It is given that:
Cathy is purchasing a DVD player and tv at the local electronic store.
The DVD player costs $49.36 and the tv cost $705.20.
If she plans for them in 12 equal payments,
Total cost(combining the cost of the DVD player and TV cost):
= $49.36 + $705.20
= $754.56
Per month payment = $754.56/12
Per month payment = $62.88
Thus, the monthly cost will be $62.88 if Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20.
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