Answers
Answer:
48 cm²
Explanation:
The figure can be cut into 1 rectangle and 1 triangle.
Area of the figure:
⇒ area of rectangle + area of triangle
⇒ Length × Width + 1/2 × Base × Height
⇒ 6 × 4 + 1/2 × 6 × 8
⇒ 24 + 24
⇒ 48
Therefore, area of figure is 48 cm².
Answer:
48 cm squared
Step-by-step explanation:
The given figure is composed of a rectangle (L=6 cm and W = 4 cm) and a right angled triangle { Base = (12- 4) = 8 cm, height = 6 cm. }
Area of the two figures is to be calculated separately and then added to get the required result.
Area of the rectangle = l × w
= 6 × 4
= 24 cm²
Area of the right triangle = ½ × base × height
= ½ × 8 × 6
= 24 cm²
Hence, area of the given figure = 24 + 24
= 48 cm squared.
Related Questions
5. Identify the sign of the leading coefficient and describe the end behaviour. Using this
information, decide if each function is cubic or quartic.
Answers
The sign of the leading coefficient can be found using the graph of a polynomial function.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have given the graph of polynomial functions:
In the first graph:
The leading coefficient is positive.
x → ∞, f(x) → ∞
x → -∞, f(x) → -∞
Degree of a function = 3
In the second graph:
The leading coefficient is negative.
x → ∞, f(x) → -∞
x → -∞, f(x) → -∞
Degree of a function = 4
In the third graph:
The leading coefficient is positive.
x → ∞, f(x) → ∞
x → -∞, f(x) → ∞
Degree of a function = 4
In the fourth graph:
The leading coefficient is negative.
x → ∞, f(x) → -∞
x → -∞, f(x) → ∞
Degree of a function = 3
Thus, the sign of the leading coefficient can be found using the graph of a polynomial function.
Learn more about Polynomial here:
brainly.com/question/17822016
#SPJ1
can i charge my hp laptop more than 1000 times
Answers
HELPPPPPPPPPPPP plssss -. A bag of cookies cost the cookie company $.50 to make, but the local grocery store sells the same bag of cookies for $4.50. How much does the local grocery store mark up the price of the bag of cookies?
Answers
Answer:
$4
Step-by-step explanation:
Company $0.50
Store. $ 4.50
Price up $ X
4.50
- 0.50
------------
4.00
X= $4.00
If 462 subjects were studied and 99 of them expressed a preference for Brand Y, what percentage
expressed a preference for Brand Y? Round to the nearest tenth percentage. Enter the numerical value
only. For example, if your answer is 12.2%, enter 12.2 in the blank.
Answers
Answer:
20
Step-by-step explanation:
492/99x100=21.43
nearest tenth percentage is 20
Evaluating a piece-wise function. 10 pts
Answers
-3
2. -2=-2, so we will use the second function to get the answer of
3
3. Once again we will be using the first function, so just plug 5 into the answer to get
-7.5
Hope this helped :)
Christine splits 4/5 pounds of candy with 5 people. What is the unit rate in pounds per person. In simplest form
Answers
Answer:
4/25
Step-by-step explanation:
4/5 ÷ 5 = 4/5 × 1/5 = 4/25
1.
Which of the following is the given function's
average rate of change on the interval
-3
Answers
Answer: -2
Step-by-step explanation:
[tex]g(-3)=0\\\\g(-2)=-2\\\\\frac{g(-3)-g(-2)}{-3-(-2)}=\frac{0-(-2)}{-1}=\boxed{-2}[/tex]
The vehicle preference of police officers and firefighters is given in the table.
Police Officers Firefighters
Cars 12
Trucks 9
SUVS 15
3
4
2
Based on the information in the table, which of the following is an example of independent events.
Answers
An example of independent events is P(Police Officers and choose cars).
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events.
Symbolically, we have:
Two events A and B are said to be independent if we have:
P(A ∩ B) = P(A)P(B)
Police Officers Firefighters
Cars 12 3
Trucks 9 4
SUVs 15 2
Let P(A) = Firefighters choose cars
P(B) = Firefighters choose Trucks
P(A ∩ B) = Police Officers choose cars
Thus,
P(A ∩ B) = P(A)P(B)
12 = (4) ( 3)
Hence, an example of independent events is P(Police Officers and choose cars).
Learn more about independent events;
https://brainly.com/question/12619550
#SPJ1
crash test results the insurance institute for highway safety crashed the 2010 ford fusion four times at 5 miles per hour. the costs of repair for each of the four crashes were $2529,$1889,$2610,$1073 $2529,$1889,$2610,$1073
compute the mean, median, and mode cost of repair.
Answers
Answer:
We know that
The costs of repair for each of the four crashes were
$2529, $1889, $2610, $1073
Here we have to compute the mean, median, and mode cost of repair.
Mean = total cost
the no of crashes
Mean = $2529 + $1889 +$2610 +$1073
4
Mean = $2025.25
Therefore the mean = 2025.25
Then we have to find median.
Now first we have to arrange the data in ascending order (smallest to highest).
$1073,$1889,$2529,$2610
Add the two middle numbers and then divide by two, to get the average:
$1889+$2529 = $4418
Median = $4418/2 = $2209
Therefore the median = $2209
Here there is no mode cost.
Does this graph show a function explain how you know
Answers
The correct option is Option D: Yes, the graph passes the vertical line test.
The function is a relationship between two distinct sets X and set Y which can be many-one or one-one. here set X is called the domain and set Y is called the codomain.
The vertical line test states that
If we draw a straight vertical line( which is also parallel to the y-axis) and it touches the graph at only one point at all locations, then that relation is said to be a function and this relation will be also one-one.
So here in this function shown in the graph.
If we draw a vertical line parallel to the y-axis in this at any location then it crosses the graph only once. So, it passes vertical line test. And this graph is a function. Therefore option D is correct.
Learn more about function
here: https://brainly.com/question/17043948
#SPJ10
A surgery has a success rate of 75%. Suppose that the surgery is performed on 4 patients. What is the probability that the surgery is successful on exactly 3 patients?
Answers
0.21094 is the probability that the surgery is successful on exactly 3 patients.
What is probability?
It is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
According to the given question,
Let Y = The number of patients who respond yes: [tex]Y - Bin (n,p)[/tex]
Given , [tex]n = 4 , p = 0.75 , q = 1 - p = 0.25[/tex]
[tex]P (Y = 3) = \left(\begin{array}{ccc}4\\3\\\end{array}\right) (0.75)^{2}(0.25)^{4-3} \\ = 0.21094\\\\[/tex]
The probability that the surgery is successful on exactly 3 patients is 0.21094
Learn more about Probability here:
https://brainly.com/question/23345093
#SPJ1
the answer to this question
Answers
Find slope:
(3,7) & (6,-1)
Answers
Answer:
-8/3
Step-by-step explanation:
Slope = (-1-7)/(6-3) = -8/3
Answer:
-8/3
Step-by-step explanation:
You can use the slope formula which is (y2 - y1) / (x2 - x1). So using these values we get
(-1 - 7) / (6 - 3) = -8/3
X= ABC+ AB+ ABC Simplify followings
Answers
Answer:
X = ABC+ AB+ ABC
X = AB(C+1+C)
X = AB(2C+1)
One person ran 4 miles in 24 minutes. At this rate, how long would it take to run 26 miles?
Answers
If it takes them 24 minutes to run 4 miles, to find the minutes it takes to run 1 mile divide 4 by 24. This comes out to 6 minutes to run 1 mile. Then just multiple 6 minutes by 26 miles to get 156 minutes.
[15 PTS] PLS HELP!!!
What is the end behavior of the function?
Answers
The correct answer is the fourth option.
Which functions have a vertex with a x-value of 0? Select three options.
f(x) = |x|
f(x) = |x| + 3
f(x) = |x + 3|
f(x) = |x| − 6
f(x) = |x + 3| – 6
Answers
Answer:
f(x) = |x|f(x) = |x| + 3f(x) = |x| − 6Answer:
A,B,D
Step-by-step explanation:
determine domain and range from graph
Answers
Domain: (-∞,∞)
Range: (-∞,-3]
Step-by-step explanation:
A quadratic equation graphs a parabola. Therefore there will be arrows on the bottom of the graph as it will go down forever. The domain (min x-values to max x-values) is
(-∞,∞) because the graph keeps on going down and to the right and left. The range (min y-values to max y-values) is (-∞,-3] because the lowest y-value the graph goes to is -∞ nd the highest y-value is -3.
if n × 18 = ½ find n
Answers
n=1/2 multiplied 1/18
n=1/36
Answer:
n = [tex]\frac{1}{36}[/tex]
Step-by-step explanation:
n × 18 = [tex]\frac{1}{2}[/tex]
To find the value of n we have to divide both sides by 18.
Let us solve it now.
18n = [tex]\frac{1}{2}[/tex]
[tex]\frac{18n}{18}[/tex] = [tex]\frac{1}{2}[/tex] ÷ 18
n = [tex]\frac{1}{2}[/tex] ÷ 18
n = [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{18}{1}[/tex]
n = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{18}[/tex]
n = [tex]\frac{1}{36}[/tex]
solve for x -
[tex]\bold{x {}^{2} - 4 = 0}[/tex]
ty! ~
Answers
Answer:
x² - 4 = 0
x² = 4
x =± √4
x = +2 or x = -2.
Answer:
2 and -2 (±2)
Step-by-step explanation:
Step 1: Move -4 to the other side of the equal sign; we get x² = 4.
Step 2: A lot of people miss the negative answer! The square root of 4 is equal to both positive 2 and negative 2.
Hope this helped! Please mark me as Brainliest b/c I really need it!!!Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.
The figure shows a right triangle with one leg marked 12. The hypotenuse is marked 15.
Answers
Answer:
9
Step-by-step explanation:
a^2+b^2=c^2
a^2+12^2=15^2
a^2=225-144
a=sqrt(81)
a=9
At the beginning of a snowstorm, Amadou had 2 inches of snow on his lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Amadou have on his lawn 4 hours after the snow began to fall? How much snow would Amadou have on his lawn after tt hours of snow falling
Answers
Answer:
4 inches
Step-by-step explanation:
Given information:
2 inches of snow on the lawnRate of snow falling = 0.5 inches per hourSnow did not meltLet y = height of snow on the lawn
Let t = time in hours
⇒ y = 2 + 0.5t
To find how much snow is on the lawn after 4 hours of snowing, substitute t = 4 into the found equation and solve for y:
⇒ y = 2 + 0.5(4)
⇒ y = 2 + 2
⇒ y = 4 inches
Therefore, Amadou will have 4 inches of snow on his lawn after 4 hours of snow falling.
After 4 hours of continuous snowfall at a rate of 0.5 inches per hour, Amadou would have 4 inches of snow on his lawn. After t hours of snow falling at the same rate, he would have 2 + 0.5t inches of snow on his lawn.
After 4 hours of snow falling at a constant rate of 0.5 inches per hour, Amadou would have:
Snow accumulation = Initial snow + (Snowfall rate × Time)
Snow accumulation = 2 inches + (0.5 inches/hour × 4 hours)
Snow accumulation = 2 inches + 2 inches
Snow accumulation = 4 inches of snow.
After t hours of snow falling, the amount of snow on Amadou's lawn would be:
Snow accumulation = Initial snow + (Snowfall rate × Time)
Snow accumulation = 2 inches + (0.5 inches/hour × t hours)
Snow accumulation = 2 + 0.5t inches of snow.
To know more about accumulation:
https://brainly.com/question/32257400
#SPJ3
50 children had a choice of beans,plantain and rice.21 of them took beans,24 took plantain and 18 took rice.3 took beans only and 2 took rice only and 9 took plantain only. 5 took all the three items of food required. A.Draw a venn diagram to illustrate this information. B.Use your diagram to find the number of children who took ,1.plantain and beans only. 2.Rice and beans only.3.none of the three items of food.
Answers
The Venn diagram to illustrate this information is given in the image attached.
What is the Venn diagram about?The number of children who took plantain and beans only are:
Let beans = a
Rice = b
Plantain = P
So: a + b = 24 - 9 - 5 = 10
Note that 24 children took plantain.
9 children took only Plantain.
5 took the 3 food items.
So:
b + c = 18 -2 - 5 = 11
a + c = 21 - 3 - 5 = 13
P∩B = a + 5
= 6 + 5 = 11
R ∩ B = C + 5
=7 + 5 = 12
None of the three items of food =
50 - (3 + 2 + 9 + 6 + 4 + 7 + 5)
= 50 - 36
=14
Learn more about Venn diagram from
https://brainly.com/question/2099071
#SPJ1
What is the density of the oak board
Answers
Step-by-step explanation:
easy how thick it is we need a picture
Please SHOW THE WORK. How many miles are in 10 kilometers?
Answers
There are .621371192237 miles per kilometer, so multiply by ten and you get 6.21371192237 miles.
A sub sandwich shop offers 12 toppings to choose from. How many ways could a person choose a 4-topping sandwich?
HELPPPPPP
Answers
Using the combination formula, it is found that there are 495 ways to choose a 4-topping sandwich.
The order in which the toppings are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
4 toppings are chosen from a set of 12, hence the number of ways is given by:
[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]
More can be learned about the combination formula at https://brainly.com/question/25821700
#SPJ1
Each of the integers 1-25 is written on an individual card and placed in a hat. You
randomly draw a card. How many favorable outcomes are there for choosing a card
with an odd number?
Ο Α. 2
OB. 11
O C. 13
OD. 25
Answers
Answer:
Step-by-step explanation:
Comment
If you know this formula
tn = t1 + (n - 1)*d then you don't even have to count how many odd numbers there are. If you don't know the formula, then you have to count how many odds there are between 1 and 25 inclusive. Just to save you the trouble, there are 13.
Givens
1 = t1
25 = tn
d = 2
Solution
25 = 1 + (n - 1)*2 Subtract 1 from both sides?
25-1 = 1-1 + (n - 1)*2 Combine
24 = (n - 1) * 2 Divide by 2
24/2 = (n - 1)*2/2
12 = n - 1 Add 1 to both sides
12 + 1 = n - 1 + 1 Combine
13 = n
Answer
So you have 13 cards that will bring success.
On Sunday, there were 22 inches of snow. The weather finally began to warm up and by Monday afternoon there were 19 inches. Then on Tuesday, there were 16 inches. If the snow continues to melt the same number of inches every day complete the equation to model the snowmelt if d represents the number of days after Sunday.
Answers
Answer:
22-3d=x
Step-by-step explanation:
where d is the days that it melts and the amount of snow x is the snow that is left.
need help with this question
Answers
The local maximum of the equation y = x³ - 5x + 2 is y = 6.3 which occurs at x = -1.29
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
y = x³ - 5x + 2
The maximum is at dy/dx = 0, hence:
3x² - 5 = 0
x = -1.29 or x = 1.29
y = (-1.29)³ - 5(-1.29) + 2 = 6.3
The local maximum of the equation y = x³ - 5x + 2 is y = 6.3 which occurs at x = -1.29
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Given ZW=20. Answer the questions please.
Answers
a) Corresponding angles of similar figures are congruent, so [tex]\angle B \cong \boxed{\angle Z}[/tex]
b) Scale factor = (image)/(preimage). Since we are looking for ABCD to WZYX, this means that WZYX is the image and ABCD is the preimage. Thus, the scale factor is [tex]\frac{25}{10}=\boxed{5/2}[/tex]
c) Since the scale factor is 5/2,
[tex]\frac{20}{t}=\frac{5}[2}\\\\40=5t\\ \\ t=\boxed{8}[/tex]
