The area of the given figure is 21.57 sq. cm.
Calculation
Let us break the figure into different shapes so it becomes easier to calculate the area.
there is 2 triangle with base = 3cm and height = 4cm
and 1 rectangle with length= 4 and width = 2
and a semi-circle with a radius of 1 cm
Total area= area of 2 triangles + area of rectangle + area of the semi-circle
Area of 2 triangles = \(2 *\frac{1}{2} * base* height\)\(= 2*\frac{1}{2} *3*4 = 12 cm\)
Area of rectangle = length* width = 4*2 = 8 cm
Area of semi-circle = \(\frac{1}{2}\)π\(r^{2}\) \(\frac{1}{2} *\frac{22}{7} *1*1 = \frac{11}{7} = 1.57 cm\)
Total area = 12cm + 8cm + 1.57cm = 21.57 sq. cm
Hence, the total area of the given figure is 21.57 sq. cm
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help me quys plz, which one is it
DUE TODAY ASAP TYSM REALLY APPRECIATE IT
Answer:
r = 9.5ft
Step-by-step explanation:
Which of the following is most likely the next step in the series?
Answer:
The Answer is D.
Step-by-step explanation:
It's all about pattern, you just need to conceived and organize what is the color provided.
6W - 12x + 7w - 8x =
Find the volume of the solid generated by revolving the region bounded by the given curve and lines about the x-axis.
y=e^(x-6),y=0,x=6,x=7
The volume of the solid is \(\pi (e^2^-^1^)^2\)
How to determine the volumeLet us use the disc method to determine the volume of the solid that is created by rotating the area enclosed by the specified curve and lines around the x-axis.
According to the disc approach, the solid's volume can be obtained by taking the integral of \(\pi r^2dx\), where r indicates the distance between the curve and the x-axis, and dx refers to a minute change in x.
The given equation represents a curve with its limits of integration being x=6 and x=7.
The equation in question is \(y=e^(^x^-^6^)^\)
The value of the curve at a certain x corresponds to the radius of the disc.
Then, we have the integral of \(\pi (e^(^x^-^6^)^2\) dx from x=6 to x=7 represents the magnitude of the three-dimensional object.
Substitute the value, we get;
Volume =\(\pi ^ (^e^2^-^1^)^2\)
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How do you get 4y-4x=16 into slope intercept form simplifying all fractions?
you drop a ball off a 50 foot roof to see how long it will bounce. Each bounce loses 10% of the height of its previous bounce. after how many bounces will the ball's height be less than 10 feet?
The number of bounces required for the ball's Height to be less than 10 feet is 10.
The ball will take until its height is less than 10 feet, we need to consider the successive bounces and calculate the decreasing height.
Given that each bounce loses 10% of the height of the previous bounce, we can express the height after each bounce as a fraction of the previous height.
Let's denote the initial height of the ball as H₀ = 50 feet. After the first bounce, the height will be 90% of H₀, which is 0.9 * H₀. After the second bounce, the height will be 90% of 0.9 * H₀, which is 0.9 * 0.9 * H₀. This pattern continues for subsequent bounces.
In general, after n bounces, the height can be expressed as:
Hₙ = (0.9)^n * H₀
We want to find the value of n such that Hₙ < 10 feet. Substituting the given values:
(0.9)^n * 50 < 10
Dividing both sides of the inequality by 50:
(0.9)^n < 10/50
(0.9)^n < 0.2
To solve for n, we can take the logarithm of both sides with base 0.9
log(0.9)^n < log(0.2)
n * log(0.9) < log(0.2)
Dividing both sides of the inequality by log(0.9):
n < log(0.2) / log(0.9)
Using a calculator, we can evaluate the right side of the inequality:
n < approximately 10.075
Therefore, the number of bounces required for the ball's height to be less than 10 feet is 10. Hence, after 10 bounces, the ball's height will be less than 10 feet.
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Let f(x) = x^2 + 8x.a) Evaluate f(-3). b) Solve f(x)= -16.
1) Considering that function, we can evaluate it at x=3, i.e. find the corresponding value for f(x) when x=-3
\(\begin{gathered} f(x)=x^2+8x \\ f(-3)=(-3)^2+8(-3) \\ f(-3)=9-24 \\ f(-3)=-15 \end{gathered}\)So when we plug x=-3 into that function the corresponding y value is -15
2) Now, the other way around, we've got the y (or f(x)) value -16 let's find the corresponding value for x:
\(\begin{gathered} x^2+8x=-16 \\ x^2+8x+16=0 \\ (x+4)^2 \\ x+4=0 \\ x=-4 \end{gathered}\)Note that looking attentively at that trinomial, we can see that this is a binomial (x+4)² or (x+4)(x+4) picking on binomial and equating to zero we can get the root. In this case, there's only value for those two roots x=-4
3) Hence the answer is f(-3)=-15, and x=-4
5. Oshaunda buys a car that costs $21,000. It depreciates at 8.2% per year. a. Write an equation for the value of the car. V=21,000(1-0.082) V-21,000(0.918) B. Oshaunda tries to sell the car 4 years later. What is the car worth when it is 4 years old? Hint: Use your formula for part (a), and plug in t = 4. Use GEMA to finish the math.
Answer:
a.
\(f(t) = 21000( {.918}^{t} )\)
b.
\(f(4) = 21000( {.918}^{4}) = 14913.86\)
Need help fast!! Please help
Answer:
I am pretty sure it is 10.5
Step-by-step explanation:
Answer:
10.5
Step-by-step explanation:
your equation: DT = DH + HT
HT = 2DH
so now your equation is DT = DH + 2DH
plug in your values: 3.5 + 2(3.5)
you get DH = 10.5
Explain how to evaluate
(-9)(-6)(15)(–7 + 7)
as simply as possible.
Hey there!
(-9)(-6)(15)(-7 + 7)
[-9(-6) = 54]
= 54(15)(-7 + 7)
[54(15) = 810]
= 810(-7 + 7)
[-7 + 7 = 0]
= 810(0)
= 0
Therefore, your answer is: 0
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
\((-9)(-6)(15)(–7 + 7)\)
\(So \: We \: have,\)
\( - 7 + 7\)
\( - 7 + 7 = 0\)
Rewriting the original expression,
\((-9)(-6)(15)(0)\)
\((-9)(-6)(15)(0) = 0\)
\(The \: answer \: is \: 0.\)
The savings account offering which of these APRs and compounding periods
offers the best APY?
A. 4.0784% compounded monthly
B. 4.0792% compounded quarterly
C. 4.0730% compounded daily
D. 4.0798% compounded semiannually
Answer:
The answer is "Option C"
Step-by-step explanation:
The using formula\(= (1+\frac{r}{n})^n -1\)
→r = rate
→ n = compounded value
In choice a:
When compounded is monthly \(4.0784\%\)
\(n = 12\)
\(\to (1+ \frac{0.040784}{12})^{12} = 1.0403-1 = 0.0403\)
In choice b:
When compounded is quarterly\(4.0792\%\)
\(n = 3\\\\\to (1+ \frac{0.040792}{12} )^{3} = 1.0102-1 = .0102\)
In choice c:
Whenn compounded is daily \(4.0730 \%\)
\(n = 365\\\\\to (1+ \frac{0.040730}{12})^{365} = 3.328-1 = 2.328\)
In choice d:
When compounded is semiannually\(4.0798\%\)
\(n = 2\\\\\to (1+ \frac{0.040798}{12})^{2} = 1.0066-1 = 0.0066\)
Sharon called 4 friends on Friday. On Saturday, each of those 4 friends called 4 different friends. On Sunday, each person who was called on Saturday called 4 different people.
Answer:
it \(4^{3}\)
Step-by-step explanation:
i took a test
The equation 2x2 − 3x + 1 = 0 is in quadratic form. true or false
Answer:
True
Step-by-step explanation:
The equation 2x² - 3x + 1 = 0 is in quadratic form.
Answer:
True.
Step-by-step explanation:
The equation \(2x^{2} - 3x + 1 = 0\) is in quadratic form because it meets the quadratic formula: \(Ax^{2} + Bx + C = 0\).
How many times larger is 90,000 than 900
Answer:
100 times larger
Step-by-step explanation:
All you do is 90,000 divided by 900
90000/900 is 100
solve
-m^3-(2n^2-m^3)+6n^2
Answer:
4n^2
Step-by-step explanation:
My calculator said that is the answer !
Graph. (Shade. Dashed line. Solid line?)
x+3y≥3
Answer:
Since the graph looks like this, I would say solid line
You want to determine the probability that in a litter of 5 kittens, there will be more female than male kittens. Which describes one trial of a simulation you could use to model this problem?
The trial of stimulation that can model the probability of the gender of the kittens is tossing a coin five times and count the number of heads.
What is probability?Probability simply means the chance of the occurrence of an event. It's the numerical description of how likely an event will occur.
In this case, from the complete question, the trial of stimulation that can model the probability is to toss a coin five times and count the number of heads. The gender of the kittens can be allocated to the head or tail of the coin.
This is important to determine the probability that in a litter of 5 kittens, there will be more female than male kittens.
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What is the area of the rectangle with the width of 6x2 and length of 12x3
Answer: A=72x5
Step-by-step explanation:
The formula for the area of a rectangle is:
Area=length*width
here,
length=12x3
width=6x2
Putting these values in the formula for area gives-
Area= 12x3*6x2
simplifying the equation gives-
Area = (12*6)*(x3*x2)
we can multiply the constants and use the exponents rule to multiply the terms with power.
y^a* y^b = y^(a+b)
that provides us with-
Area = 72 *(x^(3+2))
Area = 72x5
32 is what percent of 50?
32 = x. 50
Solve for x to find the answer.
Then put the answer in percent form.
A. 0.64%
B. 0.064%
C. 6.4%
D 64%
Answer:
D, 64%
Step-by-step explanation:
To solve algebraic equations, you have to do the inverse or opposite, so because you are multiplying x by 50 on one side and x wants to be alone, you have to do the opposite which is divide by 50 to get x*1 or just x (because 50/50 equals 1) and what you do on one side of the = sign you do on the other, so 32/50 = 0.64. Then to make a percent you move the decimal to the right by 2 places and you get 64%
Answer:
D is the answer. Since the X is multiplying the 50 and then having the 32 on the other side, make X the subject by dividing both sides by 50 to make the X stand alone. Having 0.64 as your result (X=0.64), multiply 0.64 by 100 since the question demands the answer to be in percentage
In a positively skewed distribution, what order (left to right) will we find the mean, median and more
So the order from left to right would be: Mode, Median, Mean.
In a positively skewed distribution, the mean is typically larger than the median, and the median is larger than the mode.
This can be illustrated in the following way:
Mean: The mean is affected by extreme values in the tail of the distribution, and will be pulled in the direction of the skew. Therefore, in a positively skewed distribution, the mean will be to the right of the median.
Median: The median is the value that separates the lower 50% of the data from the upper 50% of the data. In a positively skewed distribution, the tail of the distribution is on the right-hand side, which means that the median will be closer to the left-hand side than the mean.
Mode: The mode is the most frequent value in the distribution. In a positively skewed distribution, the mode will be the smallest value, located at the left-hand side of the distribution, while the mean and median will be to the right of it.
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Does 8in to 1ft reduce it or enlarge it
Answer:
enlarge it
Step-by-step explanation:
I ft = 12 inches
Thus 8 in → 12 in makes the transformation larger.
Thus going from 8 in to 12 in is an enlargement
A bird is flying south at a rate of 45 miles per hour while being pushed east by wind with a speed of 12 miles per hour.
What is the direction of the bird's resultant vector? Hint: Draw a vector diagram.
Ө 0 = [ ? ]°
Round your answer to the nearest hundredth
Step-by-step explanation:
Use the arctan function
tan Φ = 45/12
Φ = arctan ( -45/12) = 75 degrees south of east = 165 degrees on the compass
Dan bought 6 new baseball trading cards to add to his collection. The next day, his dog ate half of his collection. There are now only 28 cards left. How many cards did Dan start with? Giving brainliest!
Answer:
50 cards
Step-by-step explanation:
28*2= 56
56-6=50
Answer:
50
Step-by-step explanation:
28 x 2 = 56
56 - 6 = 50
Your oil light just came on in your car and you must take your car to get the oil changed. Your car needs 5 quarts of oil, which are $10.99 each. The service charge is $21.99. There is also 7% sales tax. How much does it cost to get your oil changed?
In the given problem, solving the problem systematically, the total cost including sales tax would be $76.94 + $5.38 = $82.32.
How to Calculate the Cost?The cost of the oil would be 5 quarts x $10.99 per quart = $54.95.
The total cost before tax would be the cost of the oil plus the service charge: $54.95 + $21.99 = $76.94.
The sales tax on this amount would be 7% of $76.94, which is 0.07 x $76.94 = $5.38.
Therefore, the total cost including sales tax would be $76.94 + $5.38 = $82.32.
So, it would cost $82.32 to get the oil changed.
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7.
A design engineer built a rotating Isosceles triangular prism in the middle of a park for people to enjoy. If the rotating prism has the following dimensions as shown in the image below, what is
the total surface area of the rotating prism?
A38 ft
B44 ft
C43 ft
D24 ft
Answer:
28 ft
Step-by-step explanation:
The total surface area of the rotating prism is 43 ft². Therefore, option C is the correct answer.
Given that, height of the prism = 2 ft, width of the prism = 4 ft.
What the surface area of a rotating prism?To find the surface area of any kind of prism we use the general formula. The total surface area of a prism is the sum of lateral surface area and area of two flat bases.
The total surface area of a Prism = (2 × Base Area) + (Base perimeter × height).
Total surface area of a prism = 2 (3 × 4) + (2.5+3+4) × 2
= 24 + 19
= 43 ft
The total surface area of the rotating prism is 43 ft². Therefore, option C is the correct answer.
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Ronnie bought 6 ice cream cones for himself and his friends. Seventeen cents tax was added to the price of each cone. The total cost was $14.58.
Answer:
Step-by-step explanation:
Since the tax is 17¢, then you have to subtract that from 14.58
14.58-.17=14.41
14.41/6
$2.40
A jar contains 70 L of juice. It is poured into
glasses, each of 150 mL capacity. How many glasses
are completely filled with the juice and how much juice
is left in the jug?
First, we need to convert the volume of the juice in the jar from liters to milliliters, since the volume of the glasses is given in milliliters.
1 liter = 1000 milliliters
So, 70 liters = 70 * 1000 = 70,000 milliliters
Next, we'll divide the volume of the juice in the jar by the volume of each glass to find out how many glasses can be filled with the juice.
70,000 milliliters ÷ 150 milliliters/glass = 466.67 glasses (rounded to the nearest whole number)
Therefore, 466 glasses can be filled completely with the juice.
Finally, we can find out how much juice is left in the jar by subtracting the total volume of the juice used to fill the glasses from the volume of the juice in the jar.
70,000 milliliters - (466 glasses x 150 milliliters/glass) = 70,000 milliliters - 69900 milliliters = 800 milliliters
So, 800 milliliters of juice is left in the jar.
Here is the production function for the economy of Morovia: Y=
K (Y= Square Root of K). People invested 55% of income, and 10% of capital depreciates. If capital was equal to 25 last year, and technology did not change, then what could be the amount of capital this year? Select one: a. Something more than 25 b. 25 c. Something less than 25 d. None of these are true e. It is not possible to determine this from the information given
Based on the given information, the amount of capital this year (K1) could be something less than 25 (option c).
To determine the amount of capital this year based on the given information, we can use the investment and depreciation rates.
Let's denote the amount of capital this year as K1.
According to the information provided:
People invest 55% of income, but we don't have any information about income. Therefore, we cannot determine the exact investment amount.
10% of capital depreciates. Based on this, the capital at the beginning of this year (K1) can be calculated as follows:
K1 = K - 0.1K
= 0.9K
Since we know that the capital last year was equal to 25, we substitute K = 25 into the equation above:
K1 = 0.9 * 25
= 22.5
Therefore, based on the given information, the amount of capital this year (K1) could be something less than 25 (option c).
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8th grade algebra question
Answer:
x-int : 6, y-int : 9
Step-by-step explanation:
Hope this helps :)
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