The following figure is made of 1 triangle and 1 rectangle.
Find the area of each part of the figure and the whole figure.
Answers
Therefore, the area of each part of the figure and the whole figure are:
Area of triangle = 11 square units
Area of rectangle = 77 square units
Area of whole figure = 88 square units
What is area?In mathematics, the area is a measurement of the size of a two-dimensional region or surface, typically expressed in square units. The formula for finding the area of a rectangle is length times width, and the units for area are typically written as squared units (such as square meters or square inches). Area is an important concept in geometry and is used in many real-world applications, such as determining the amount of paint needed to cover a wall or the amount of land required to build a house.
Here,
To find the area of the triangle, we can use the formula:
Area of triangle = 1/2 * base * height
In this case, the base of the triangle is 11 units and the height is 2 units. Therefore, the area of the triangle is:
Area of triangle = 1/2 * 11 units * 2 units = 11 square units
To find the area of the rectangle, we can use the formula:
Area of rectangle = length * breadth
In this case, the length of the rectangle is 7 units and the breadth is 11 units. Therefore, the area of the rectangle is:
Area of rectangle = 7 units * 11 units = 77 square units
To find the area of the whole figure, we need to add the areas of the triangle and the rectangle:
Area of whole figure = Area of triangle + Area of rectangle
= 11 square units + 77 square units
= 88 square units
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Related Questions
An arithmetic sequence has its 5 th term equal to 22
and its 15 th term equal tq 62.
Find its 100 th term.
Answers
Answer:
.................................
Step-by-step explanation:
The hockey team won 63 out of the 84 games they played this year what percent of the games did the team win
Answers
help me pls pls pls
nonsense=report
nice answer=brainles
pls dont waste my point
Answers
Step-by-step explanation:
Perimeter Area30 inches ( 10+5 x 2 ) 1600 m ( 400 x 4 )Answer the following:
a.Find the uniform continuous probability for P(X < 10) for U(0, 50). (Round your answer to 2 decimal places.)
b.Find the uniform continuous probability for P(X > 595) for U(0, 1,000). (Round your answer to 3 decimal places.)
c.Find the uniform continuous probability for P(21 < X < 49) for U(19, 68). (Round your answer to 4 decimal places.)
Answers
a. The probability P(X < 10) is U(0, 50) is 0.20.
b. The probability P(X > 595) is U(0, 1,000) is 0.405.
c. The probability P(21 < X < 49) is U(19, 68) is 0.4762.
a. For a uniform continuous distribution U(0, 50), the probability of an event X < 10 can be calculated by dividing the length of the interval [0, 10] by the length of the entire interval [0, 50]. Since the lengths of both intervals are equal, the probability is 10/50 = 0.20.
b. Similarly, for a uniform continuous distribution U(0, 1,000), the probability of an event X > 595 can be calculated by dividing the length of the interval [595, 1,000] by the length of the entire interval [0, 1,000]. The length of the interval [595, 1,000] is 1,000 - 595 = 405, and the length of the entire interval is 1,000 - 0 = 1,000. Thus, the probability is 405/1,000 = 0.405.
c. For a uniform continuous distribution U(19, 68), the probability of an event 21 < X < 49 can be calculated by dividing the length of the interval [21, 49] by the length of the entire interval [19, 68]. The length of the interval [21, 49] is 49 - 21 = 28, and the length of the entire interval is 68 - 19 = 49. Therefore, the probability is 28/49 = 0.5714.
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Find the slope and y -intercept of each line.. y=0.4-0.8 x
Answers
The slope of the given equation of the line is -0.8 and the y-intercept = 0.4.
What is the equation of a line to the curve?A line's equation has the standard form ax + by + c = 0. Here, the variables are x and y, the coefficients are a and b, and the constant term is c. It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.Given: y = -0.8x + 0.4
As we know that the slop-intercept form of the equation of a line is given by: y = mx + c, where
m = slope of the linec = y-intercept of the lineOn comparing the given equation of line with the above form of equation of line, we get: m = -0.8 and c = 0.4.
Hence, The slope of the given equation of the line is -0.8 and the y-intercept = 0.4.
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Leslie went out for a jog. When she returned she went to the tap and filled up her 500 mL reusable water bottle. She drank 250 mL at a constant rate in one minute. Her phone rang, she set down the bottle of water and talked to her friend for four minutes. After her phone call she sipped the rest of her bottle at a constant rate in two minutes. Create a voulme vs. time graph for this story.
Answers
Answer:
Please find attached the required graph and
Step-by-step explanation:
The values for the information given can be written down as follows;
Time, seconds Volume mL
0, 500
12, 450
24, 400
36, 350
48, 300
60, 250
72 250
84 250
96 250
108 250
120 250
132 250
144 250
156 250
168 250
180 250
192 250
204 250
216 250
228 250
240 250
252 250
264 250
276 250
288 250
300 250
312 225
324, 200
336, 175
348, 150
360, 125
372, 100
384, 75
396, 50
408, 25
420, 0
World population. The world's population was 6 billion people in 1999. Estimate the world's population in 2099 if it doubles every 45 years
Answers
The time difference between 1999 and 2099 is 100 years.
The population doubles every 45 years.
In 100 years it'll double twice.
From 1999 to 2044 and from 2045 to 2090.
The population will be 6 * 4 = 24 billion people and increasing towards 2099.
all the best!
a new downtown sandwich shop has recorded their customer loads for the past eight weeks in the following table. the shop now wants to forecast the number of customers for week 9. if the shop's forecast for week 8 was 65 customers, then what will their forecast be for week 9 when using an exponential smoothing forecast model with a smoothing constant of 0.7? week number of customers 1 49 2 55 3 57 4 59 5 56 6 61 7 62 8 63
Answers
The forecast for week 9 using exponential smoothing with a smoothing constant of 0.7 is 38.4 customers.
To use exponential smoothing with a smoothing constant of 0.7, we need to use the following formula
F_t+1 = α × Y_t + (1 - α) × F_t
where
F_t+1 is the forecast for the next period (week 9)
α is the smoothing constant (0.7)
Y_t is the actual number of customers in the current period (week 8)
F_t is the forecast for the current period (week 8)
Given that the shop's forecast for week 8 was 65 customers, we have
F_t = 65
Y_t = 63
α = 0.7
Plugging these values into the formula, we get
F_9 = 0.7 × 63 + (1 - 0.7) × 65
F_9 = 18.9 + 19.5
F_9 = 38.4
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Find g(x)) when f(x) = 3x2 + x - 8, and g(x) = 4x + 5
I have no idea what she’s talking about please help me out
Answers
Answer:
A
Step-by-step explanation:
Option A is the correct answer of this question.
Students at Lincoln middle school earn $5 for every 4 boxes of cookie dough sold during a fundraiser. Students at Williams middle school earn $7 for every 6 rolls of wrapping paper
Answers
Answer:
5x4 = 20
7x6=42
Students at Lincoln Middle School earn a greater amount of money per item sold compared to students at William Middle School.
To compare which fundraiser earns students a greater amount of money per item sold, we can calculate the earnings per item for both cases and then compare them.
For Lincoln Middle School:
Earnings per item = $5 / 4 boxes = $1.25 per box of cookie dough
For William Middle School:
Earnings per item = $7 / 6 rolls = $1.1667 per roll of wrapping paper (rounded to 4 decimal places)
Comparing the two amounts, we can see that students at Lincoln Middle School earn $1.25 per item, while students at William Middle School earn approximately $1.1667 per item. Therefore, Students at Lincoln Middle School earn a greater amount of money per item sold compared to students at William Middle School.
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The complete question is :
Students at Lincoln Middle School earn $5 for every 4 boxes of cookie dough sold during a fundraiser. Students at William Middle School earn $7 for every 6 rolls of wrapping paper sold during their fundraiser. For which fundraiser do students earn the greater amount of money per item sold?
identify the functions ????f and ????g such that limx→0????(x)limx→0f(x) does not exist, limx→0????(x)limx→0g(x) does not exist, but limx→0(????(x) ????(x))limx→0(f(x) g(x)) does exist. choose the appropriate functions.
Answers
We can choose f(x) = 1 if x is rational and f(x) = -1 if x is irrational, g(x) = x if x is rational and g(x) = -x if x is irrational, and their product ∆(x) = f(x)g(x) = x².
To find functions f and g that satisfy the given conditions, we need to consider the behavior of the limits as x approaches 0.
For the first condition, we want the limit of ∆(x) = f(x) as x approaches 0 to not exist. One example of such a function is f(x) = 1 if x is rational and f(x) = -1 if x is irrational. Since the rational and irrational numbers are dense in the real numbers, the limit as x approaches 0 does not exist for this function.
For the second condition, we want the limit of ????(x) = g(x) as x approaches 0 to not exist. One example of such a function is g(x) = x if x is rational and g(x) = -x if x is irrational. Again, the limit as x approaches 0 does not exist for this function.
Now, for the third condition, we want the limit of ∆(x)∆(x) = f(x)g(x) as x approaches 0 to exist. To satisfy this, we can choose any two functions that are compatible, meaning their product is well-behaved. For example, we can choose f(x) = g(x) = x. The product of x and x is x^2, which is continuous and well-defined at x = 0. Thus, the limit as x approaches 0 of f(x)g(x) exists.
In conclusion, we can choose f(x) = 1 if x is rational and f(x) = -1 if x is irrational, g(x) = x if x is rational and g(x) = -x if x is irrational, and their product ∆(x) = f(x)g(x) = x².
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An alloy contains zinc and copper in the ratio 7 : 9. Find the weight of copper if it has 31.5 kg of zinc
Answers
24.5 kg
first you have to divide 31.5 by 9, which is 3.5
then you multiply 7 by 3.5 to get 24.5
When two coins are tossed at the same time, what is the theoretical probability of an outcome of one head and one tail?1/21/33/41/4
Answers
To find the proability we need to remember the product rule of proabbility that states that:
\(P(A\cap B)=P(A)P(B)\)in this case event A is "getting head" and event B is "getting tail"; we know that each of this events have a proability of 1/2, then:
\(P(A\cap B)=\frac{1}{2}\cdot\frac{1}{2}=\frac{1}{4}\)Therefore the probability we are looking for is 1/4.
Find the length of the third side. If necessary, round to the nearest tenth. 3 6
Answers
Answer: 6.7
Step-by-step explanation:
a^2+b^2=c^2
36+9=45
Sqrt of 45 approx 6.7
What is 1/3 divided by 4/5?
Answers
Answer:
\(\frac{5}{12}\)
Step-by-step explanation:
Step 1: Set up the problem
There are two ways to set up this problem.\(\frac{1}{3}\) ÷ \(\frac{4}{5}\)\(\frac{\frac{1}{3} }{\frac{4}{5} }\)Step 2: Solve
To solve the first set up you can use the keep, change, flip methodKCF: keep the first term, change from division to multiplication, flip the second term\(\frac{1}{3}\) ÷ \(\frac{4}{5}\)\(\frac{1}{3}\) × \(\frac{5}{4}\) = \(\frac{5}{12}\)To solve the second set up you multiply by the denominator's reciprocal\(\frac{\frac{1}{3} }{\frac{4}{5} }\)\(\frac{1}{3}\) × \(\frac{5}{4}\) = \(\frac{5}{12}\)A cylinder has a height of 20 ft and a volume of 64,339 ft³.
What is the radius of the cylinder?
Round your answer to the nearest whole number.
676 ft
338 ft
32 ft
26 ft
Answers
Answer:
64,339 = π(r^2)(20)
r^2 = 1,023.987
r = 32 ft
Which of the following best explains why one graph appears skewed and one graph appears symmetric? the intervals on the x-axis of the histogram are too large. the interval on the y-axis of the histogram is too small. the interval on the x-axis of the histogram is inconsistent. the interval on the box-and-whisker plot is too small.
Answers
The reason for one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.
What is histogram?A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle similar to a bar graph.
In the problem, the data given as,
In the attached image below, the histogram and box plot is shown for the ages of Elizabeth's Grandchildren and their frequency.In the 3rd and 4the bar of histogram, the data is jumped from 14 to 20 instead of 15.The frequency distribution in histogram for this data is inconsistent.This inconsistency brought the between the two graphs.Thus, the reason of one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.
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please give me answer to your copy.
Answers
Answer:
the question is not clear sorry
a notebook is 8 inches tall and 10 inches wide what is its area?
Answers
Answer:
i think 18
Step-by-step explanation:
Given: 9x>-36.
Choose the solution set.
O [xlx>-4)
O'{x1x<-4}
O [xlx>4)
O [xlx<4)
Answers
[x | x > -4)
This can be read as "the set of all x such that x is greater than -4."
help me im dying and i
Answers
Answer:
The better bar to buy is the Nutty Crunch
Step-by-step explanation:
4.74 / 6 = 0.79 per bar
7.80 / 10 = 0.78 per bar
:)
Answer:
Nutty Crunch is better
Step-by-step explanation:
-13 = r/9 + 8
Solve for r
Answers
r = -189
-13 = r/9 + 8
Subtract 8 on both sides
-21 = r/9
Multply 9 on both sides
-189 = r
Answer:
r = -189
Step-by-step explanation:
-13 = r/9 + 8
-13 - 8 = r/9
-21 = r/9
-21 × 9 = r
-189 = r
An exam consists of 40 multiple-choice questions. Each question has a choice of five answers, only one of which is correct. For each correct answer, a candidate gets 1 mark, and no penalty is applied for getting an incorrect answer. A particular candidate answers each question purely by guess-work. Using Normal approximation to Binomial distribution with continuity correction, what is the estimated probability this student obtains a score greater than or equal to 10? Please use R to obtain probabilities and keep at least 6 decimal places in intermediate steps.
A. 0.7234 B. 0.2766 C. 0.5927 D. 0.1615 E. 0.3773
Answers
The estimated probability that the candidate obtains a score greater than or equal to 10 is 0.7234, rounded to four decimal places, so the answer is (A).
The number of correct answers that the candidate gets is a binomial random variable with parameters n = 40 (number of trials) and p = 1/5 (probability of success). We want to find the probability that the candidate gets a score greater than or equal to 10, which is equivalent to getting 10 or more questions correct.
Using the normal approximation to the binomial distribution with continuity correction, we can approximate the distribution of the number of correct answers by a normal distribution with mean μ = np = 40 * 1/5 = 8 and variance σ^2 = np(1-p) = 40 * 1/5 * 4/5 = 6.4.
To find the probability that the candidate gets 10 or more questions correct, we can standardize the normal distribution and use the standard normal distribution table or R to find the probability.
Let X be the number of correct answers. Then, we have:
P(X >= 10) = P((X - μ) / σ >= (10 - μ) / σ)
= P(Z >= (10 - 8) / sqrt(6.4)), where Z is a standard normal random variable.
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The position of an objeet moring along the x-axis is given by x=(10.0 m/s)+−(30.0 m/s2 )+ 2 +5.0 m
Answers
The average velocity of the particle over the interval from t=1.0 s to t=3.0 s is -20.0 m/s.
To find the average velocity, we need to calculate the displacement of the particle during the given time interval and divide it by the duration of the interval. The displacement can be determined by subtracting the initial position from the final position.
At t=1.0 s, the position of the object is given by x = (10.0 m/s) + (-30.0 m/s^2)(1.0 s)^2 + 5.0 m = -15.0 m.
At t=3.0 s, the position of the object is given by x = (10.0 m/s) + (-30.0 m/s^2)(3.0 s)^2 + 5.0 m = -245.0 m.
The displacement during the interval is -245.0 m - (-15.0 m) = -230.0 m.
The duration of the interval is 3.0 s - 1.0 s = 2.0 s
Therefore, the average velocity is given by the displacement divided by the duration: (-230.0 m) / (2.0 s) = -115.0 m/s.
Hence, the average velocity of the particle over the interval t=1.0 s to t=3.0 s is -115.0 meters/second.
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Determine the voltage, Current, and Power Gain of an amplifier that has an input signal of 1mA at 10mA corresponding Output signal of 1 mA at 1 V. Also, express all three gains in decibel. (....../2.5)
Answers
The voltage gain is 1000 V/A (60 dB), the current gain is 10 (20 dB), and the power gain is 10 (10 dB).
To determine the voltage, current, and power gain of the amplifier, we can use the following formulas:
Voltage Gain (Av):
Av = Vout / Vin
Current Gain (Ai):
Ai = Iout / Iin
Power Gain (Ap):
Ap = Pout / Pin
Given:
Vin = 1 mA
Vout = 1 V
Iin = 1 mA
Iout = 10 mA
Voltage Gain (Av):
Av = Vout / Vin
= 1 V / 1 mA
= 1000 V/A
To express the voltage gain in decibels (dB):
Av_dB = 20 * log10(Av)
= 20 * log10(1000)
≈ 60 dB
Current Gain (Ai):
Ai = Iout / Iin
= 10 mA / 1 mA
= 10
To express the current gain in decibels (dB):
Ai_dB = 20 * log10(Ai)
= 20 * log10(10)
≈ 20 dB
Power Gain (Ap):
Ap = Pout / Pin
= (Vout * Iout) / (Vin * Iin)
= (1 V * 10 mA) / (1 mA * 1 mA)
= 10
To express the power gain in decibels (dB):
Ap_dB = 10 * log10(Ap)
= 10 * log10(10)
≈ 10 dB.
Therefore, amplifier has a voltage gain of 1000 V/A (60 dB), a current gain of 10 (20 dB), and a power gain of 10 (10 dB). These gains indicate the amplification capabilities of the amplifier in terms of voltage, current, and power.
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. factorise a^2 -b^2c^2
Answers
Hi there.
Glad to see you using Brainly!
Equation:
a^2-b^2c^2
Then, multiply the terms with equal exponents.
(We can do this by multiplying their bases)
After:
a^2 - (b c)^2
Now, using a^2 - b^2 = (a-b)(a+b) we factor.
Therefore, after using that we get:
(a-bc) x (a+bc)
Therefore, our solution is
(a - bc) x (a+bc)
Thanks for using Brainly!
- Tutor John
Answer:
\( {a}^{2} - {b}^{2} {c}^{2} = (a - bc)(a + bc) \)
graph y < 1/3 x + 1/2
Answers
Answer:
(0,2) and (3,1) plz tell me if im wrong :)
Step-by-step explanation
unsure
Leo is going to use a random number generator 400400400 times. Each time he uses it, he will get a 1, 2, 3,4,1,2,3,4,1, comma, 2, comma, 3, comma, 4, comma or 555.What is the best prediction for the number of times that Leo will get an odd number
Answers
The best prediction for the number of times that Leo will get an odd number is 200.
The probability of getting an odd number (1 or 3) is 2/4 = 1/2.
Using the expected value formula, we can predict the number of times that Leo will get an odd number:
Expected number of odd numbers = (probability of getting an odd number) x (total number of trials)
Expected number of odd numbers = (1/2) x (400) = 200
Therefore, the best prediction for the number of times that Leo will get an odd number is 200.
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When rolling a number cube, what is the probability of rolling a 2 or an even number. Express your answer as a fraction in lowest terms
Answers
Answer:
https://www.sketchywebsite.net/
Step-by-step explanation:
A gas station has monthly expenses, in dollars, of , where x is the number of gallons of gas sold. It sells the gas at $2.25 per gallon. How many gallons do they need to sell to make a profit of $3000 per month
Answers
If it costs $2.25 for a (1) gallon then you need to divide the profit of $3000 which is 1333.33...... Gallons