What is the area, in square centimeters of the shaded part of the rectangle shown below
Answers
The area of shaded region is 100 square centimeters.
What is an area?
An area is the amount of space taken up by a 2D shape or surface. The area of a shape is the number of unit squares required to completely cover it.
For the given situation,
The diagram shows the rectangle. In rectangle, some region is shaded and some region is left. The unshaded region is in the shape of the right triangle.
The area of shaded region = Area of rectangle - Area of triangle
The dimension for rectangle,
Length = 10 cm
Width = 14
The formula of area of rectangle = (length)(width)
The dimension for triangle,
Base = 10 cm
Height = 14 - 6
⇒ Height = 8 cm
The formula of area of triangle = 1/2 (base)(height)
On substituting the above values,
Thus area of shaded region = [tex](10)(14)-\frac{1}{2} (10)(8)[/tex]
⇒ [tex]140-40[/tex]
⇒ [tex]100[/tex]
Hence we can conclude that the area of shaded region is 100 square centimeters.
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Related Questions
The town of Riverside is holding an election for mayor. Only 200
residents have voted so far and the results are shown in the table. Based on these results, what is the most reasonable prediction of the number of votes that Mr. Tonn will receive when 400 votes have been counted?
Answers
Answer:
C. 116
Step-by-step explanation:
You have been given the task of finding out what proportion of students that enroll in a local university actually complete their degree. You have access to first year enrolment records and you decide to randomly sample 110 of those records. You find that 87 of those sampled went on to complete their degree. a)Calculate the proportion of sampled students that complete their degree. Give your answer as a decimal to 3 decimal places. Sample proportion
Answers
Answer:
The proportion of sampled students that complete their degree is 0.791.
Step-by-step explanation:
A proportion is the number of desired outcomes divided by the number of total outcomes.
a)Calculate the proportion of sampled students that complete their degree.
110 students sampled.
87 went on to complete their degree.
p = 87/110 = 0.791
The proportion of sampled students that complete their degree is 0.791.
A pair of sneakers cost the store $65. They mark them up by 40%. What is the selling price of the sneakers?
Answers
Answer:
91
Step-by-step explanation:
40% of 65 is 26. 26 + 65 = 91
What fraction of her team's total points did Cynthia score?
Answers
Answer: 5/6
Step-by-step explanation:
because if you get velocity and multiply it by the term which is 5/12 you half the denominator.
A study assessed the effects of playing a computer game (solitaire) during lunch on behavioral and physiological variables. A sample of 44 healthy adults was randomly assigned to eat lunch either with the computer game distraction or without distraction. The food served for lunch was exactly the same for everyone. All participants also had the same breakfast. Thirty minutes after lunch, participants were offered cookies as a snack and were instructed to eat as many or as few cookies as they liked. Here are the summary statistics for the findings:25
Group n X Distraction 22 52.1 45.1 No distraction 22 27.1 26.4
(a) Do the findings support the hypothesis of greater snack the two-sample t statistic and P-value, and conclude
(b) Can you conclude that distraction during meals causes intake after meals taken with a distraction? State hypotheses in terms of the two population means, obtain using a significance level of 0.05 the greater snack intake? Explain your reasoning.
Answers
Answer:
H0 : μD = μN
H0 : μD > μN
Test statistic = 2.192
Pvalue = 0.017
there is strong evidence that healthy adult eat more cookies for a snack when they are distracted with a computer game during lunch than when they are not.
Step-by-step explanation:
Given the data:
n1 = 22 ; x1 = 52.1 ; s1 = 45.1
n2 = 22 ; x2 = 27.1 ; s2 = 26.4
H0 : μD = μN
H0 : μD > μN
The test statistic :
(x1 - x2) ÷ (Sp*√(1/n1 + 1/n2))
Sp = (n1 - 1)s1² + (n2 - 1)s2²] ÷ (n1 + n2 - 2)
Sp = √[((21 * 45.1^2) + (21 * 26.4^2)) ÷ 42]
Sp = 36.952469
Test statistic :
(52.1 - 27.1) ÷ Sp * √(1/21 + 1/21))
25 ÷ (36.952469 * 0.3086066)
25 ÷ 11.4037758196954
Test statistic = 2.192
Using the Pvalue from Test statistic calculator :df = 42, Tscore = 2.192
Pvalue = 0.017
α = 0.05
Pvalue < α
Hence, there is strong evidence that healthy adult eat more cookies for a snack when they are distracted with a computer game during lunch than when they are not.
Please help me 7th grade math
Answers
Answer: 1/36
Step-by-step explanation:
Your going to multiply 1/6 x 1/6 and you will get 1/36, because there are 6 slots, and you spin on x once, there is a 1/6 chance you will spin on it again, so that keeps a the 6/6 for all of the letters. But we are looking for f, there is also a 1/6 percent chance that it might land on that, 1/6 x 1/6 = 1/36
Answer:
Step-by-step explanation:
36 - 4
Step-by-step explanation:
(6x - 2)(6x + 2)
= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)
= 36 - 12x + 12x - 4
= 36 - 4
help pleaseeeeee? omggggg
Answers
ILL MARK BRAINLIEST OF CORRECT AND GIVE 25 POINTS
This figure was broken into a triangle and a parallelogram as shown.
Use the figures to complete the statements.
The height of the triangle h is
in. 10 12 22
The area of the triangle is
in.2.40 48 80 96
The area of the parallelogram is
in.2 40 48 80 96.
The area of the irregular figure is
in.2. 88 128 144 176
Answers
Step-by-step explanation:
The height of the triangle H is 12
The area of the triangle is 48
The area of the parallelogram is 80
The area of the irregular figure is 128
I think
:)
GIVING BRAINLIEST
what is the area of the donut pictured below? use 3.24 for pi
Answers
Answer:
The right answer is C (235.5 mm^2)
Carl is buying a couch for $650
with a sales tax rate of 7.5%. How
much will Carl spend on sales tax?
Answers
Answer:
All you have to do is find out what 7.5 percent of 650 is.
Step-by-step explanation:
The answer would be 48.75 in sales taxes
write the properties of absolute value:
Answers
Answer:
hope this help you. look it once.
use the graph of the function f shown to determine f(-3)
Answers
I need help with this please graphing is too complicated. If anyone can help I would be very happ.
1. Find the derivative of f(x), at x = 10
f(x) = - 5x² + 13x
Answers
Answer:
-10x+13
Step-by-step explanation:
Im not 100% sure but i tried!
Please help
Thankssssss
Answers
Answer:
-10x
Step-by-step explanation:
multiply -5 with 2x
-5×2x= -10x
Answer:
Basically, you have to multiply the term at the top with the one on the left of the corresponding box. In this case you have to multiply -5 with 2x.
[tex]-5\cdot \:2x=-10x[/tex]
A set of data is summarized by the stem and leaf plot below.
Stem Leaf
1 1 2 3 4 4 5 5 7 8 8 9 0 1 2
2 4 6 8 9 9 0 3 4
3 4 4 4 6 7 7 8 9
Provide your answer below:
There are __________ values in the data set which are greater than or equal to 20 and less than or equal to 29. There are _____________ values in the data set which are greater than or equal to 30 and less than or equal to 39. There are ___________ values in the data set which are greater than or equal to 10 and less than or equal to 19.
Answers
Answer:
30 values ; greater than or equal to 10 and less Than or equal to 39
Step-by-step explanation:
Counting the number of leaves in the plot, we have 30 leaf values. This gives the number of dataset.
The minimum value is the number created by the combination of the least stem value and the lowest leaf value, which is 10
The maximum value is obtained from the combination of the highest stem and leaf value. The highest value is 39
Need help quick with full work
Answers
Answer:
1st of column 1
and
3rd of column 2
And
3rd of column 2
6 A train has 1 first-class carriage and 6 standard carriages. The first-class carriage has 64 seats. are being used. Each standard carriage has 78 seats. in each carriage are being used. Are more than half the seats on the train being used?
Answers
Answer:
YES
Step-by-step explanation:
(3/8)·64 = 24 seats in the first class carriage are being used.
(7/13)·(78)·3 = 126 seats in the standard carriages are being used, for a total of ...
24 + 126 = 150 . . . occupied seats
The number of available seats is ...
64 +3·78 = 298
so half the seats on the train will be 298/2 = 149 seats.
150 > 149, so more than half the seats on the train are being used.
5. What is the distance between two points with coordinates at (17, 21) and (28, 13)?
A 11.4
C 18.5
B 13.6
D 20
Answers
Answer:
this is the answer A
Step-by-step explanation:
Which expression is equivalent to "28 divided by the difference 45 and 710"
Answers
Which of these statements is true about heat? A. Heat always flows from cooler to warmer substances. B. Heat doesn’t flow between substances. C. Heat always flows from warmer to cooler substances. D. Heat flows when both substances have the same temperature.
Answers
Answer:
C. Heat always flow from warmer to cooler substances.
3.2 + (-1.8) What would that be
Answers
Answer:
1.4
Step-by-step explanation:
how many miles does Earth travel through space in 24 hours?
Answers
Explain how this diagram shows
That 6(3 + 4) = 6(3) + 6(4)
Answers
Answer:
[tex]{\huge\blue{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]
[tex]6(3 + 4) = 6(3) + 6(4) \\ 6(7) = 6(3) + 6(4) \\ 6 \times 7 = 6 \times 3 + 6 \times 4 \\ 42 = 18 + 24 \\ 42 = 42[/tex]
→ LHS = RHS
•°• Hence proved.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
What is the volume of the container?
Answers
4.8 Retake
nts
Question 4 of 12
A line on a coordinate plane has a y-intercept of -6 and a slope of 4. Which of the following models the slope - intercept form of the line?
А
y= 4x + 6
B
y=6x +4
bok
y=-6x +4
y= 4x - 6
Answers
Answer:
y = 4x - 6
Step-by-step explanation:
Given the following data;
Slope, m = 4
Intercept, c = -6
To write the equation of line in the slope-intercept form;
The standard equation of straight line is given by the formula;
y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Substituting the values, we have;
y = 4x + (-6)
y = 4x - 6
Find x so the distance between (x,−1) and (4x−2,5) is 10
Answers
Answer:
[tex] x = \dfrac{10}{3}~~or~~x = -2 [/tex]
Step-by-step explanation:
(x,−1) and (4x−2,5) is 10
[tex] \sqrt{(4x - 2 - x)^2 + (-1 - 5)^2} = 10 [/tex]
[tex] (3x - 2)^2 + (-6)^2 = 100 [/tex]
[tex] 9x^2 - 12x + 4 + 36 = 100 [/tex]
[tex] 9x^2 - 12x + 40 = 100 [/tex]
[tex] 9x^2 - 12x - 60 = 0 [/tex]
[tex] 3x^2 - 4x - 20 = 0 [/tex]
[tex] 3x^2 - 10x + 6x - 20 = 0 [/tex]
[tex] x(3x - 10) + 2(3x - 10) = 0 [/tex]
[tex] (3x - 10)(x + 2) = 0 [/tex]
[tex] x = \dfrac{10}{3}~~or~~x = -2 [/tex]
Please Help me solve these problems.
Answers
Can anyone help me out here?
Answers
Answer:
J. 19.7
Step-by-step explanation:
SOH(sine = opposite side/hypotenuse) CAH TOA
sin 80° = RS/20
=> 0.985 = RS/20
=> RS = 20 × 0.985 = 19.7
You're making a sandwich at the cafeteria where they have 2 kinds of bread, 2 kinds of cheese, and 3
kinds of meat. How many different sandwiches could you make? Assume multiple kinds of
breads/cheese/meats are not mixed in a sandwich.
Answers
Answer:
12 different types of sandwich could be made.
Step-by-step explanation:
Since I am making a sandwich at the cafeteria where they have 2 kinds of bread, 2 kinds of cheese, and 3 kinds of meat, to determine how many different sandwiches could I make the following calculations must be performed:
Bread x cheese x meat = X
2 x 2 x 3 = X
4 x 3 = X
12 = X
Therefore, 12 different types of sandwich could be made.
Joe's final exam has true/false questions, worth 2 points each, and multiple choice questions, worth 5 points each. Let x be the number of true/false
he gets correct, and let y be the number of multiple choice questions he gets correct.
He needs more than 90 points on the exam to get an A in the class. Using the values and variables given, write an inequality describing this.
Answers
This is the inequality
2x + 5y ≥ 90