12. The area of the shaded portion is the sum of the areas of a trapezoid and a parallelogram.
What is a trapezoid?An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.
A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.
The altitude is the measurement of the angle perpendicular to the parallel sides.
The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.
9. The area of the shaded region is the area of the smaller trapezoid subtracted from the area of the larger trapezoid which is,
= [{(1/2)×(10 + 6)×8} - {(1/2)×(5 + 3)×4}].
= [8×8 - 4×4] cm².
= 64 - 16 cm².
= 48 cm².
10. Similarly the figure in (10) is twice the area of the two trapezoids.
11. We have subtract the sum of the areas of the trapezoid and the triangle from the larger rectangle.
12. The total area is the sum of the areas of the trapezoid and the parallelogram.
13. The larger figure is a rectangle with a right-angle triangle on top.
We have to subtract two rectangles from this to obtain the area of the shaded region.
14. To obtain the area of the shaded region we have to subtract the area of the trapezoid from the larger triangle with a height of 10cm.
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Which object has the largest resultant force?
10N-
10N-
30 N-
A
C
30 N
5N
-5N
10N-
5N-
5N-
5N-
B
D
10N
10 N
Answer:
To find the resultant force of an object, we need to add up all the forces acting on it. The resultant force is the overall force that the object experiences, taking into account all the individual forces.
In this case, we are given four objects, A, B, C, and D, and the forces acting on them. To find the object with the largest resultant force, we need to calculate the resultant force for each object by adding up all the forces acting on it.
For object A, the forces acting on it are: 10 N, 10 N, and 10 N, for a total of 10 N + 10 N + 10 N = 30 N.
For object B, the forces acting on it are: 5 N, 5 N, 5 N, and 5 N, for a total of 5 N + 5 N + 5 N + 5 N = 20 N.
For object C, the forces acting on it are: 30 N and -5 N, for a total of 30 N + (-5 N) = 25 N.
For object D, the forces acting on it are: 10 N and -5 N, for a total of 10 N + (-5 N) = 5 N.
Therefore, the object with the largest resultant force is object C, with a resultant force of 25 N.
9. Felix has a bucket of golf balls. The table shows the number of golf balls of each color in the bucket. Felix selects a golf ball at random. Based on the information in the table, which statement is true? * PLEASE HELP ME IM CONFUZZELD
Answer:
The golf ball is 2 times a likely to be orange as it is to be pink
Step-by-step explanation:
A. green = 18, pink+white+orange = 23
18 not > 23
B. pink [tex]\neq[/tex] white [tex]\neq[/tex] orange [tex]\neq[/tex] green
C. pink x 2 = orange?
4 x 2 = 8
D. white x 7 = green?
white = 11
green = 18
11 x 7 = 77 [tex]\neq[/tex] 18
solve for x
give an exact answer
Answer:
x = -1
Step-by-step explanation:
0.5(5-7x)=8-(4x+6) note.......0.5 = 1/2
(1/2) ( 5 - 7x) = 8 - 4x - 6
(1/2) (5 - 7x) = 2 - 4x multipy through by 2
5 - 7x = 4 - 8x add 8x to both sides.......subtract 5 from both sides
x = -1
What is a root of a polynomial function?
Answer:
d. a value of the variable that makes the polynomial equal to zero
i need help please i dont get this
Answer:
See attached
Step-by-step explanation:
You want the solution to the inequality -12x < -48 shown on a number line.
SolutionThe solution to the inequality is found by dividing by the x-coefficient
-12x < -48
x > 4 . . . . . . . divide by -12
When working with inequalities, you need to know that multiplying or dividing by a negative number reverses the inequality symbol.
GraphThe value x=4 is not included in the solution set, so an open circle is plotted at that point. All values of x greater than x=4 are included in the solution set, so the number line is shaded to the right of the open circle.
The graph of the solution is shown in the attachment.
__
Additional comment
Often, you can avoid multiplying or dividing an inequality by a negative number by rearranging it. Here, adding 12x+48 to both sides makes it be ...
48 < 12x
Now, you can divide by 12 without worrying about the inequality symbol:
4 < x . . . . . same as above
A certain retail store bases its staffing on the number of customers that arrive during certain time slots. Based on prior experience this store expects 32% of its customers between 8:00 am and 12:00 pm; 21% of its customers between 12:00 pm and 4:00 pm; 35% of its customers between 4:00 pm and 8:00 pm; and 12% of its customers between 8:00 pm and midnight. On a certain day, the store had 214, 198, 276, and 134 customers in those time slots, respectively. Should the store change its staffing? What was wrong with this solution?
Answer:
Step-by-step explanation:
Based on the data gathered on that certain day, I would say NO, the store does not need to change its staffing. The data shows that the percentages calculated by the store are extremely close to the actual percentage of people that arrived at those given hours throughout the day. The problem with this solution is that it does not take into account special circumstances, such as specific days, events, holidays, new popular items, etc. All of these can drastically affect the number of people that enter the store at a given time.
1. The retail store should not change its staffing arrangement.
2. Changing the staffing arrangement may not favor the retail store.
Data and Calculations:
8:00 am & 12:00 pm & 4:00 pm & 8:00 pm &
12:00 pm 4:00 pm 8:00 pm midnight
Expected % of customers 32% 21% 35% 12%
Actual number of customers 214 198 276 134
Total Number of customers = 822 (214 + 198 + 276 + 134)
Actual % of customers 26% 24% 34% 16%
Difference between expected percentage of
customers and actual 6% 3% 1% -4%
Variation 0.36% 0.09% 0.01% 0.16%
Sum of variation = 0.62%
Standard Deviation = 0.787
Thus, based on the standard deviation, the store should not change its staffing.
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.......................
Answer:
Direct variation
Step-by-step explanation:
Given
[tex]\frac{a_1}{b_1} = \frac{a_2}{b_2}[/tex]
Required
The type of variation
The given equation represents a direct variation.
A direct variation is:
[tex]a = kb[/tex]
Where
[tex]k\to[/tex] constant of variation
Make k the subject
[tex]k = \frac{a}{b}[/tex]
For corresponding values of and b, we have:
[tex]k = \frac{a_1}{b_1} = \frac{a_2}{b_2} = \frac{a_3}{b_3} = ............. =\frac{a_n}{b_n}[/tex]
Hence, [tex]\frac{a_1}{b_1} = \frac{a_2}{b_2}[/tex] is a direct variation
Students at a local university have the option of taking freshman seminars during their first year in college. A survey of the freshmen revealed the following: Among the social science majors, 50% chose to take a freshman seminar; among the humanities majors, 65% chose to take a freshman seminar; and among the physical science majors, it was 30% . Freshmen make up 32% of undergraduates. The probability of taking a freshman seminar, if a student is a science major, is:
complete question
the probability of taking a freshman seminar, if a student is a science major, is:
a) a total probability.
b) a conditional probability.
c) a complete probability.
d) a joint probability.
Answer:
B. Conditional probability
Step-by-step explanation:
In this given question, what we ant to do is to find the probability thst a student who is a science major is taking a freshman seminar. This clearly a case of conditional probability.
In a conditional probability, we are trying to find out the probability of an event occurring given that another event has already occurred. since the student is a science major, the probability of the student taking a freshman seminar is to be determined.
Round 0.12406667 to the nearest hundredth
Answer:
Step-by-step explanation:
0.124
The table shows a cricket club's income in 2016 from a fete, a quiz and membership fees.
Income
Fete
£250
Quiz
Entry fees
Refreshments
13 at £5 each
£35
25 at £20 each
Membership fees
Express as a ratio
the income from the fete to the income from the quiz to the income from membership
fees.
Give your ratio in its simplest form.
Answer: 5:2:10
Income from fete = £250
13 x 5 + 35 = 100
25 x 20 = 500
250:100:500
Then simplify ratio -
25:10:50
5:2:10
Help please! I’ll give brainliest!
Answer:
B
Step-by-step explanation:
solution to the system is where they intercept
Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).
Answer: B y = -4/7x + 7
Step-by-step explanation:
The equation in the form y = mx + b
m = -4/7 and b = 7
Equation: y = -4/7x + 7
please help will give brainliest
Answer:
The average rate of change is 44.
Step by step:
FIRST STEP:
[tex]\frac{(294-118)}{(6-2)}[/tex]
SECOND STEP:
[tex]\frac{176}{4}[/tex] = 44
How do you do numb 3. please help
Step-by-step explanation:
first we need to identify the lines themselves.
the line from bottom left to top right is simply
y = x
the line is solid, so the points on the line are included.
the dotted line (the points on the line itself are not included) goes through
(0, 2) and (3, 0)
the y-intercept is therefore 2 (the y value when x = 0).
and for the slope
x changes by +3 (from 0 to 3).
y changes by -2 (from 2 to 0).
the slope is -2/+3 = -2/3
and the line is
y = (-2/3)x + 2
we see that the desired gray area is above both lines (">"), and we need to consider, whether the points in the lines are included or not.
so, the system of inequalities is
y >= x
y > (-2/3)x + 2
HELP I have been stuck on this problem for a bit now
Answer:
16
Step-by-step explanation:
72/2 = 36
Square root of 36 is 6; 6 x 2 = 12
square root of 4 is 2 and 2^2 equals 4.
12 +4 =16
Mark me brainliest please
Answer:
16
Step-by-step explanation:
72/2=36
square root 36=6
6*2=12
root4 squared is 4
12+4=16
Hope that helps :)
need help asappppppp
Answer:
hypotenuse
Step-by-step explanation:
Answer:
I believe it is D hypotenuse
Step-by-step explanation:
In geometry, a hypotenuse is the longest side of a right-angled triangle.
Which of the following ordered pairs is a solution to y = 2X?
O (3,6)
O (3,9)
O (3.8)
O (3.27)
Answer:3,9
Step-by-step explanation:
Which of the following characteristics are true of all parallelograms? Select all that apply
Attributes of a parallelogram leads to, Due to the equal length of each side and the 90° angles that they create at their corners, a square is a parallelogram.
Parallel sides with two opposed pair?Due to the equal length of each side and the 90° angles that they create at their corners, a square is a parallelogram. They are, in this sense, two sets of parallel lines, which provides the framework for the parallelogram, which must have two parallel sides.Attributes of a parallelogram leads to, Due to the equal length of each side and the 90° angles that they create at their corners, a square is a parallelogram. They are, in this sense, two sets of parallel lines, which provides the framework for the parallelogram, which must have two parallel sides.The complete question is,
Which of the following attributes of a parallelogram leads to the conclusion that every square can be categorized as a parallelogram? Choose each option that applies.
four equal sides
two pairs of diametrically opposed equal angles
diagonals are cut in half.
two sets of parallel, opposed sides.
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Please help with this Khan Question :)
Answer:
the answer is A
Step-by-step explanation:
Find the slope of the line.
Ms.Metz had her students estimate the length and width of a math book. Dana's estimate was 40cm by 20cm. The book measured 24cm by 16cm. How far off was her estimate?
Dana's estimated length was 66.67% far off the actual length and her estimated width was 25% far off the actual width.
What is percent error?Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.
Percent Error Formula
The formula for percent error is:
PE = (|Estimated value-Actual value|/ Actual value) × 100
Given,
Actual length of the book = 24 cm
Actual width of the book = 16 cm
Dana's estimated length of the book = 40 cm
Dana's estimated width of the book = 20 cm
Error in measurement of length of the book =
(Measured Length - Actual Length/Actual length) × 100
= (40 - 24/24) ×100 = 66.67%
Error in measurement of width of the book =
(Measured width - Actual width/Actual width) × 100
= (20 - 16 / 16) × 100 = 25%
Hence, Dana's estimated length and breadth was 66.67% and 25% far off the actual length and width of the book respectively.
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ANSWER ASAP FOR POINTS AND BRAINIEST!!
Answer:
(a) 552ft
(b) $220.8
Step-by-step explanation:
(a) TSA of cuboid = 2 (lb + bh + hl)
= 2 (12*8+8*9+9*12) = 2 ( 276) = 552 square feet.
(b) Cost of covering the box = $0.40 * 552 feet
= $220.8
A squre has 12cm length find it's area and perimeter
Answer:
a=L² is is the formula for the area of square. where L represent the length.
a=(12cm)²
a=144cm²
p=4(L) is the formula for the perimeter of a square. where L represent the length
p=4(12cm)
p=48cm
The equation of a ellipse is given below.
Graph the ellipse find the center, vertices, foci, and equation of major axis.
(y+5)^2/9 + (x+5)^2/25 = 1
Therefore , the solution of the given problem of equation comes out to be Focii (-2,5 ± (2√5 x 1/√5) and vertex ( − 2,5 ± 2√√5).
Explain the equation.An equation is a mathematical representation of two identical variables, one on each side of a "equals" sign. Common difficulties can be solved using equations. We commonly seek pre algebra help to resolve problems in real life. Pre-algebra is the fundamental building block of mathematics.
Here,
[tex](x + 2)^{2}[/tex] / [tex]a^{2}[/tex] + [tex](y-5)^{2}[/tex] /[tex]b^{2}[/tex] -=1 is (h, k).
the ellipse's nucleus
The major axis is the larger of the two axes, which are 2a and 26.
(H, a, k) and (H, k, b) are the vertices. Vertices are those along the major axis in this case, and covertices are those along the minor axis.
[tex](x + 2)^{2}[/tex]/16 + [tex](y-5)^{2}[/tex] /20 =1
can be written as
[tex](x + 2)^{2}[/tex]/ [tex]4^{2}[/tex] + [tex](y-5)^{2}[/tex] /(2√/5)2
hence centre is (-2, 5), maor axis is 2 x 2√√5 = 4√√5 and minor axis
is 2 x 4 = 8
Vertices are ( 2,5 25), or ( 2,5 25) and ( 2,5 + 25), while covertices are ( 2 4, 5) and ( 6,5), respectively.
As a result of the presence of a vertical major axis, eccentricity e and focii are
(h, k ± be). e is given by the relation a2 = b2(1 − e2) i.e.
=> e = [tex]\sqrt{1 - \frac{a^{2} }{b^{2}} }[/tex]
a2= 16 and b2= 62
=> e = 1/√5
Focii (-2,5 ± (2√5 x 1/√5)
or (-2,5±2) i.e. (-2, 7) and (-2, 3).
Therefore , the solution of the given problem of equation comes out to be Focii (-2,5 ± (2√5 x 1/√5) and vertex ( − 2,5 ± 2√√5).
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There are 7 women and 9 men with a chance to be on a game show. The producer of the show is going to choose 7 of these people at random to be contestants. What is the probability that the producer chooses 4 women and 3 men? Round your answer to three decimal places.
Answer:
147/572
Step-by-step explanation:
The number of combinations of n things chosen r at a time is
[tex]\binom{n}{r}=\frac{n!}{r!(n-r)!}[/tex] (Some writers use the symbol [tex]_nC_r[/tex])
Choose 4 women from the 7:
[tex]\binom{7}{4}=\frac{7!}{4!(7-4)!}=35[/tex] ways
Choose 3 men from 9:
[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=84[/tex] ways
There are 35 x 84 = 2940 ways to choose both, out of
[tex]\binom{16}{7}=\frac{16!}{7!(16-7)!}=11440[/tex] ways to choose any 7 people from the group of 16.
Probability:
[tex]\frac{2940}{11440}=\frac{147}{572}[/tex]
P.S. As an example of how to calculate combinations, here's the calculation (by hand, a calculator is easier!) of [tex]\binom{9}{3}[/tex].
[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=\frac{9!}{3!6!}[/tex]
When you write out the factorials, you can do a bunch of cancellation between the numerator and denominator.
[tex]\frac{9\cdot8\cdot7\cdot\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1}}{(3\cdot2\cdot1)(\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1)}}=\frac{9\cdot8\cdot7}{3\cdot2\cdot1}=84[/tex]
Can someone show the work and answer ASAP
so 15 miles is the answer❤
Step-by-step explanation:
4²+5²=x²
16+25= 41
x²=41
x= 6.4
5+4+6= 15
Nancy earns Rs. 25,00,000 in 5 months. what is her annual salary
Answer:
You would first divide the amount of months by the total amount of money that she has earned in 5 months.
(You put down 25, 00, 000 so Ima just write it as 2,500,000)
25,000,000/5 = 5,000,000
She earns 5,000,000 a month, and would earn 60,000,000 per year.
Anual salary is how much money you would earn per year, so the answer is 60,000,000. (sixty million).
Step-by-step explanation:
Hope it helps! =D
How many unique tree graphs (i.e. with different degree patterns) can be made with
4 vertices?
a) 0
b) 1
c) 2
d) 3
can you guys help me!!!! Question 3
Calculate the average reading for all three trials for both the wet bulb and dry bulb
thermometers.
Convert the average temperatures for both thermometers to Celsius using this
formula:
(°F - 32) °C
wet bulb temp: 62.8, 60.0, 61.0
dry bulb temp: 64.5, 64.4, 64.3
Answer:
F = ( 9/5) X c + 32
Step-by-step explanation:
find the value of r so the line that passes through each pair of points has the given slope (5, 3), (r, -5), m=4
Answer:
r=3
Step-by-step explanation:
use slope formula : y2-y1 / x2-x1
-5-3 / r-5
the numerator is -8 which means the denominator has to be -2 in order to have the slope be 4
so r-5 = -2
3-5 = -2