Two congruent parallelograms are joined along their base
to make the shape below.
18 cm
Work out the total area of the shape.
11 cm
15 cm
The total area of the shape that is formed by the two congruent parallelograms is: 721 cm².
How to Find the Total Area of a Shape?To find the total area of the shape that is formed by the two congruent parallelograms, calculate the area of each face, then add all together.
The shape formed consist of:
2 identical parallelograms whose area = 2(base × height)2 identical right triangles = base × height1 rectangle = length × widthArea of the 2 identical parallelograms:
Base = 15 cm
Height = 11 cm
Area = 2(15 × 11) = 330 cm²
Area of the 2 identical right triangles:
Base = 11 cm
Height = 11 cm
Area = 11 × 11 = 121 cm²
Area of the rectangle = length × width = 18 × 15 = 270 cm²
Total area of the shape = 330 + 121 + 270
Total area of the shape = 721 cm²
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hello can someone help me pls
Answer:
sum= 1080
Step-by-step explanation:
Answer:
The sum of an octagon is always 1080 degrees. The interior angles are usually all equal to 135 degrees, but this is an irregular octagon, making that not the case. Because the angles are not all equal, that does not mean that the octagon's sum is any different. Thus, the sum of the interior angles is 1080 degrees.
Hope this helps!
alice passes through four traffic lights on her way to work, and each light is equally likely to be green or red. independent of the others. (a) what is the pmf, the mean, and the variance of the number of red lights that alice encounters?
The value for the number of red lights that Alice encounters are found.
Mean = 2; Var = 1; PMF = ⁿCˣ0.5ˣ × 0.5 ⁽⁴⁻ˣ⁾What is meant as the independent events?The set of findings from an experiment is thought to as events in probability. There are numerous sorts of events, including independent, dependent, and mutually exclusive ones.X = no of red lights crossed by Alice.
X is Binomial distributed
In which n=4, p=0.5, q = 0.5
Mean value is found by the formula,
Mean = np
Mean = 4×0.5
Mean = 2
And, variance = npq
Var = np(1-p)
Var = 4×0.5×0.5
Var = 1
PMF = ⁿCˣ0.5ˣ × 0.5 ⁽⁴⁻ˣ⁾
Thus, the value for pmf, the mean, and the variance of the number of red lights that Alice encounters are found.
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a random sample of size 36 is taken from a population with mean 50 and standard deviation 5. what is (the mean of the sample mean)?
With the help of standard deviation we can conclude our answer.
What is standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation. Standard deviation may be written as SD.acc to our question-
Calculate the z-score of 51.5 using the formula:We substitute From the standard normal distribution table, the area to the left of 1.80 is0.9641Therefore it is 0.9461learn more about standard deviation here:
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An estimated 3 out of every 25 men are left-handed.What percent of men are left-handed?
help me please
Answer:
12% of men are left handed.
Step-by-step explanation:
Percent of men who are left handed =
325×100=3×4=12 3 25 × 100 = 3 × 4 = .
12%
I hope this helps!
What is the minimum number of lawns Wallace must mow in order for him to earn at least $8?
Answer:1
Step-by-step explanation:
The answer is one because the graph starts at 12$ and Wallace only needs $8.
Four more than twice a number is less than negative fourteen. Solve the inequality for the unknown number. Solve the inequality for the unknown number.
Answer:
x < -9
Step-by-step explanation:
2x + 4 < -14
Solve for "x"
Subtract 4 from both sides
2x + 4 < -14
2x + 4 - 4 < -14 - 4
Simplify
Subtract all the numbers
2x + 4 - 4 < -14 - 4
2x < -14 - 4
2x < -18
Divide both sides by the same factor
2x < -18
[tex]\frac{2x}{2}[/tex] < [tex]\frac{-18}{2}[/tex]
Simplify
Cancel the terms that are in both numerator and denominator
[tex]\frac{2x}{2}[/tex] < [tex]\frac{-18}{2}[/tex]
x < [tex]\frac{-18}{2}[/tex]
Divide
[tex]x < \frac{-18}{2}\\ x < -9[/tex]
The answer is [tex]x < -9[/tex]
Select the correct answer. Solve the following equation for x. x2 - 36 = 0
Answer:
Step-by-step explanation:
x2-36=0
+36 +36
x2=36
/2 /2
x=18
Pls help due tomorrow!!!!!!!
We have : (a+b)^2 = a^2 + 2ab + b^2.
So, we can see here : the first term (3x) is a, the second term (a) is b.
For it to be expanded as such, the second term in the bracket must be equal to a^2 when it is squared.
Therefore, the missing term is a.
Recheck : (3x + a)^2 = (3x)^2 + 2.3x.a + a^2 = 9x^2 + 6ax + a^2.
This shows a figure.
What is the value of x?
57
63
86
95
Answer:
57
Step-by-step explanation:
Straight line is 180 degrees
x+2x+9=180
3x=171
x=171/3
x=57
pls mark as brainliest
a 3x3x3 cube is made of 27 small cubes of which one is blue and 26 are white. the surface of the cube is formed by 3x3 squares. the small cubes are arranged in such a way that the surface is as much white as possible. what fraction of the surface of the cube is white
The fraction of the surface of the cube which is white is 14/27
Given 27 cubes of 1 centimetre are conjoined to form a large cube of 3x3x3
To maximise the value of the surface area, in this case, taken as white, other than the cube in the centre, the rest of the cubes must have their white surface area exposed.
• Total Number of cubes where white surface area is exposed is = 27 – 1 = 26
Although, on each surface of the 3x3x3 cube, there are 9 smaller cube surfaces, and there will be a total of 6 surfaces for the bigger cube.
• Total number of cube surfaces exposed in blue = 9 * 6 = 54
• Therefore, the greatest fraction in blue= 26/54 = 13/27
Therefore the fraction of the surface of the cube is white is = 1-[tex]\frac{13}{27}[/tex]= 14/27
The fraction of the surface of the cube which is white is 14/27 is the answer
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The fraction of the surface area of the cube which is white is 14/27
Given 27 cubes of 1 centimetre are conjoined to form a large cube of 3x3x3
To maximise the value of the surface area, in this case, taken as white, other than the cube in the centre, the rest of the cubes must have their white surface area exposed.
• Total Number of cubes where white surface area is exposed is = 27 – 1 = 26
Although, on each surface of the 3x3x3 cube, there are 9 smaller cube surfaces, and there will be a total of 6 surfaces for the bigger cube.
• Total number of cube surfaces exposed in blue = 9 * 6 = 54
• Therefore, the greatest fraction in blue= 26/54 = 13/27
Therefore the fraction of the surface of the cube is white is = 1-(13/27)
= 14/27
The fraction of the surface of the cube which is white is 14/27 is the answer.
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is y=10.5x-5 proportional
The equation y = 10.5x - 5 is proportional
Given,
y = 10.5x - 5
We have to find this equation is proportional or not.
In mathematics, proportional relationships exist when two variables consistently change by the same multiple. The formula y = kx, where k is a constant multiplier that depicts the relationship between x and y, is used to represent proportional relationships. The line on the graph is always straight and goes through (0,0).
Here,
y = 10.5x - 5
10.5 is the constant multiplier that depicts the relationship between x and y.
So,
The equation y = 10.5x - 5 is proportional
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m = 0; (x,- 3) and (5,x)
Find the given value of x so that the line through the pair of points is parallel and/or perpendicular to the slope given. (unless the slopes are 0 and undefined)
*Does this mean that the problem is completely undefined since there is a 0? Or can it also be parallel?
-personal note
Answer:
x=-3
Step-by-step explanation:
The values of y with respect to the points created is constant, hence the two points will have the same y values but difference their respective x values
m=[tex] \frac{y2 - y1}{x2 - x1} [/tex]hence, [tex] \frac{x +3}{ - 5 - x } = 0[/tex]x+3=0x=-320 POINTS WILL MARK UR ANSWER THE BEST
Please help me solve this ASAP
can u also make sure there is a graph
Answer: The solution to this system is (1,3) as shown in the graph below.
Step-by-step explanation:
Remember to vote for this as Brainliest if I earned it! :)
NOTE: The red line is -x+y=2 and the blue line is y=3
Answer:
(x, y) = (1, 3)
Step-by-step explanation:
find the volume of the frustum by calculating the radius
The value of 'r' is 15 cm. Then the volume of the frustum will be 2625 cm³.
What is the volume?Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.
By the similar triangle, then the value of r is calculated as,
r/30 = 20/40
r = 15 cm
Then the volume of the frustum is calculated as,
V = 1/3 × (30/2)² × 40 - 1/3 × (15/2)² × 20
V = 1/3 × [9000 - 1125]
V = 1/3 × 7875
V = 2625 cm³
The value of 'r' is 15 cm. Then the volume of the frustum will be 2625 cm³.
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A line includes the points (1, 10) and (0, 8). What is its equation in slope-intercept form?
Answer:
Y = 2x+8
Step-by-step explanation:
Y=mx=b equations
lupita rides a taxi that charges a flate rate of $6.75 plus $3.20 per mile . if the taxi charges lupita $40.03 in total for her trip , how many miles is her ride ?
50 miles because of the miles
There is two function equations, f(x)=2x²+3x-4 and h(x)= -x²+8
If the input is f(1)+h(1), how exactly would I solve this
To solve f(1)+h(1) .....
plug in 1 for x in both equations f(x) and h(x):
f(1)=2(1)²+3(1)-4 = 2+3-4 = 1
h(1)= -(1)²+8 = -1+8 = 7
f(1)+h(1) = 1 + 7 = 8
Hope it helps!
Solve for the value of k.
(2k-2)
(k+2)°
Answer:
30
Step-by-step explanation:
( 2k - 2 )°, 90° and ( k + 2 )° are linear pair angles.
Sum of linear pair angle is supplementary ( that is 180 ),
2k - 2 + 90 + k + 2 = 180
2k + k + 90 = 180
3k = 180 - 90
3k = 90
k = 90/3
k = 30
Note : -
□ means 90°
Trevor is a high school quarterback. On
average, out of each 16 attempts, he
completes 5 out of 8 passes and throws 1
pass that is intercepted. If Trevor passes
40 times, how many completions would
he be expected to make? (setting up proportions )
The total number of completions Trevor be expected to make is 25.
Define the term proportions?Proportion is mostly discussed using ratios and fractions. A fraction is written as a/b, while a ratio is represented as a:b, and a proportion implies that two ratios remain equal. In this case, a and b can be any two integers. According to the notion of proportion, two ratios are in proportion when they are equivalent. It is a formula or statement that shows that two ratios and fractions are equivalent.For the given question.
Let the number of completion by Trevor be 'x'.
Trevor completes 5 out of 8 passes.
Total passes are 40
Then, proportions set up is-
5/8 = x/40
x = 25
Thus, the total number of completions Trevor be expected to make is 25.
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$15,000 is deposited into an account that pays 6.25% annual interest, compounded weekly. Find the balance after 7 years.
Answer: (if A=P(1+rt) is your formula)
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6.25%/100 = 0.0625 per year.
Solving our equation:
A = 15000(1 + (0.0625 × 7)) = 21562.5
A = $21,562.50
The total amount accrued, principal plus interest, from simple interest on a principal of $15,000.00 at a rate of 6.25% per year for 7 years is $21,562.50.
How long is long? Please help I need to know
Answer:
it depends on how long long is
Question #6 given f(x ) = x-4 g(x ) = 2x+2 c(x) = x+1 a. find the product of f(x) g(x) and simplify . b. use the result from part a and find the product of c(x ) and simplify c. describe the end behavior . question #6 given f(x ) = x-4 g(x ) = 2x+2 c(x) = x+1 a. find the product of f(x) g(x) and simplify . b. use the result from part a and find the product of c(x ) and simplify c. describe the end behavior . question #6 given f(x ) = x-4 g(x ) = 2x+2 c(x) = x+1 a. find the product of f(x) g(x) and simplify . b. use the result from part a and find the product of c(x ) and simplify c. describe the end behavior .
a) product of function f(x) and g(x) is 2x² - 6x - 8 and b) product of function that is in part a and an (x) is 2x³ - 4x² - 14x - 8.
Here are the three functions given:
f(x) = x -4
g(x) = 2x + 2
c(x) = x + 1
a) The product of function f(x) and g(x)
f(x). g(x) = (x -4). ( 2x + 2)
= x( 2x + 2) - 4(2x + 2)
= 2x² + 2x - 8x - 8
= 2x² - 6x -8
b) product of function f(x). g(x) and a(x)
f(x). g(x) . a(x) =( 2x² - 6x - 8 ). ( x + 1)
= x( 2x² - 6x - 8) + 1(2x² -6x - 8)
= 2x³ - 6x² -8x + 2x² - 6x -8
= 2x³ -4x² - 14x - 8
Therefore we get a) 2x² - 6x - 8 and b) 2x³ - 4x² - 14x -8.
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9 + x/10 = 10
Solve for x
Answer:i had forgot
Step-by-step explanation:
Answer:4
Step-by-step explanation:
u add den subtract den divide then there
John read 7 and 1/2 pages in 2/5 of an hour at what rate in pages per hour did he read?
When John read 7 and 1/2 pages in 2/5 of an hour, the rate in pages per hour that he read is 18.75 per pages.
What is rate?It should be noted that rate is used to show the comparison between two things.
In this case, John read 7 and 1/2 pages in 2/5 of an hour.
The number of pages read per hour will be the division of the values given. This will be:
= 7 1/2 ÷ 2/5
= 7.5 / 0.4
= 18.75 pages
The pages is 18.75 pages.
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researchers recruited over 1{,}0001,0001, comma, 000 patients with chronic back pain to participate in a study about the benefits of acupuncture. each subject was randomly assigned to one of these treatment plans: traditional chinese acupuncture, placebo acupuncture, and conventional pain treatment (medication and physical therapy). what is the primary purpose of randomly assigning subjects to the different treatment plans?
Accupunture is best these days for medication and health therapy.
What is accupunture.?Acupuncture is a traditional medical practice in which a doctor inserts needles into certain body parts of a patient. The earliest documents date back at least 2,500 years. [1] "Acupuncture points" are locations on the body where tiny metal needles are inserted. It is a type of complementary medicine[2], and it is fundamental to Traditional Chinese medicine[3] (TCM). [4] It makes use of the yin and yang principle.It is debatable and has yielded conflicting findings to research acupuncture using the concepts of "evidence-based medicine" (science research). [9] Although the majority of research indicates that acupuncture's effects are primarily attributable to placebo, certain studies indicate that acupuncture can reduce pain. [10] There is evidence that any advantages of acupuncture are transient. [11] When compared to conventional medical therapies, there is inadequate evidence to justify the use of acupuncture. [12] In the long run, acupuncture is not more effective than conventional medicine. [13]Learn more about accupunture click here:
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Between his 9th and 10th birthdays jimmy read one book each week there are 52 weeks in a year if each book at about 95 pages about how many pages did he read during the year?
Answer:
he read 4940 pages in a year
Step-by-step explanation:
Given data:
1 year= 52 weeks
1 book= 95pages (takes 1 week to complete)
for 1 year = 52x95
=4940
find three consecutive integers such that 3 times the smallest is 18 more than the largest
The value of the three consecutive integers will be 10, 11, and 12.
What is Algebra?
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Three consecutive integers are such that three times the smallest is 18 more than the largest.
Let the three consecutive number be x, x + 1, and x + 2. Then the equation will be:
3x = (x + 2) + 18
Simplify the equation, then the value of the variable x will be:
3x = x + 2 + 182x = 20x = 20 / 2x = 10
Then the value of the integers will be:
x + 1 = 10 + 1 = 11x + 2 = 10 + 2 = 12
The value of the three consecutive integers will be 10, 11, and 12
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Jodie wanted to match Mandy's obstacle course record of 74.6 seconds. She had already spent fifty and one fourth seconds on wall climbing and 10.56 seconds on the ropes. How much time did she have left to match the record?
60.81 seconds
64.04 seconds
10.60 seconds
13.79 seconds
Jodie has left 13.79 seconds to match the record.
What is a linear equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
Here, we have
Jodie aimed to beat Mandy's 74.6-second mark on the obstacle course. She had already spent 10.56 seconds on the ropes and fifty-and-a-fourth seconds ascending the wall. To match the record, we must determine how much time she had remaining.
Jodie's total time for climbing the wall is fifty and one fourth seconds=50.25 seconds
The total time on ropes is 10.56 seconds
The total time she spent is 50.25+10.56=60.81
Left time = Record Time-Spent time
= 74.6-60.81 = 13.79
Hence, Jodie has left 13.79 seconds to match the record.
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A roofing contractor uses shingles at a rate of 3 bundles for every 96 square feet of roof covered. At this rate, how many bundles of shingles will he need in order to cover a roof that is 416 square feet?
Answer:
13
Step-by-step explanation:
416/96 = 4.33333
416 is 4.333 times 96, so he needs 4.333 times 3 bundles.
4.3333 × 3 = 13
Answer: 13
Answer:
13
Step-by-step explanation:
you see how much it covers initially. (96/3=32) then 416/32=13