The required area of the irregular quadrilateral as given in the attached diagram is equal to 37.5 square units.
In the attached diagram,
Area of each square grid is equal to 1 square units.
Area of the irregular quadrilateral
= Area of the triangle A + Area of the triangle B + Area of the triangle C + Area of the rectangle D ___(1)
Area of triangle A = ( 1/2 ) × Base × height
= ( 1/2 ) × 4 × 8
= 16 square units
Area of triangle B = ( 1/2 ) × Base × height
= ( 1/2 ) × 5 × 5
= 12.5 square units
Area of triangle C = ( 1/2 ) × Base × height
= ( 1/2 ) × 3 × 4
= 6 square units
Area of rectangle D = length × width
= 3 × 1
= 3 square units
Substitute all the values in (1 ) we have,
Area of the irregular quadrilateral
= 16 + 12.5 + 6 + 3
= 37.5 square units.
Therefore, the area of irregular quadrilateral is equal to 37.5 square units.
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The above question is incomplete, the complete question is:
Each square in the grid below has area 1. Find the area of the irregular quadrilateral below.
Diagram is attached.
PLEASE HURRY 5MINUTES
Read the excerpt from Blanca Flor.
The Narrator. Juanito took the thimble and started to carry the water from the lake. He worked as hard as he could, but soon he began to realize that the job really was an impossible one, and he knew he was doomed. He sat down and began to cry because his luck had abandoned him and because his parents' blessings offered no protection in that evil place. Blanca Flor watched Juanito's valiant effort to move the water. As she watched him crying, her heart was touched, and she decided to use her powers to help him. She knew that it was very dangerous to use her powers to help Juanito and to cross Don Ricardo, but she felt it was finally time to end her own torment. As Juanito cried, Blanca Flor took out her brush and began to brush his hair. She cradled Juanito in her arms and her soothing comfort soon put him to sleep . . .
[As soon as JUANITO is asleep, BLANCA FLOR gently puts his head down and leaves, taking the thimble with her.]
What do the stage directions at the end of the excerpt indicate?
They indicate that Blanca Flor is going to help Juanito.
They indicate that Juanito is doomed.
They indicate that Blanca Flor is running away.
They indicate that Don Ricardo will be back any minute.
Answer:A
Step-by-step explanation:
because She cradled Juanito in her arms and her soothing comfort soon put him to sleep which means she wanted to help
Answer:
A) It indicates that Blanca Flor is going to help Juanito.
Step-by-step explanation:
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 1 of 2: Suppose a sample of 1453 suspected criminals is drawn. Of these people, 377 were captured. Using the data, estimate the proportion of people who were caught after being on the 10 Most Wanted list. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
The proportion of people who were caught after being on the 10 Most Wanted list is 0.259.
Step-by-step explanation:
Proportion of people who were caught after being on the 10 Most Wanted list.
Number of people caught divided by the size of the sample.
In this question:
377 people caught.
1453 suspected criminals.
Then
\(p = \frac{377}{1453} = 0.259\)
The proportion of people who were caught after being on the 10 Most Wanted list is 0.259.
QUESTION 4 PATTERNS, FUNCTIONS AND ALGEBRA 1. Given 6x³-8x³+2+9x7-4x a. How many terms are there in the polynomial? State the degree of the polynomial c. Determine the value of the polynomial if x=-1 b.
Answers:
a) There are 5 termsb) Degree = 7c) The value is -1==========================================
Explanation:
a) Each term is separated by a plus or a minus.b) The degree is equal to the largest exponent. This applies to single variable polynomials only.c) Replace each x with -1. Then use the order of operations PEMDAS to simplify. You should get -1 as the answer. Use a calculator to confirm. It is a coincidence that we have the same input and output. This will not always happen with any general polynomial function.What is the answer of this triangle congruence question.
The value of x in the triangles are 9.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
The triangles are congruent.
That means, their corresponding angles are also congruent.
In ΔJKL,
the sum of all the angles of the triangle is 180°.
So,
x²-2x + x + 29 + 3x + 52 = 180
x² + 2x - 99 = 0
Solving the quadratic equation,
x² +11x - 9x - 99 = 0.
x (x + 11) -9 (x + 11) = 0
x = 9 and x = -11
Here, we take x = 9.
Therefore, the value of x is 9.
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On a certain hot summer's day, 379 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The
receipts for admission totaled $693.50. How many children and how many adults swam at the public pool that day?
Let, number of children and adults swam at the public pool that day is x and y.
So, x + y = 379 .....1)
It is given that daily prices are $1.75 for children and $2.00 for adults.
Also, the receipts for admission totaled $693.50.
So, 1.75x + 2y = 693.50 .....2)
Putting value of y from equation 1 to equation 2 , we get :
1.75x + 2( 379 - x ) = 693.50
758 - 2x + 1.75x = 693.50
0.25x = 64.5
x = 258
So, y = 379 - 258 = 121
Therefore, number of children are 258 and adults are 121.
One-fourth the sum of four consecutive even integers is 11. Find the smallest four integers.
Considering the definition of an equation and the way to solve it, the smallest four integers are 8, 10, 12, 14.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values appear.
The members of an equation are each of the expressions that appear on both sides of the equal sign.
The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.Smallest four integersBeing "x" n any integer, and knowing that:
One-fourth the sum of four consecutive even integers is 11.2n is an even number.A consecutive even number is obtained by adding two units to the previous even number and can be expressed as 2n +2.A quarter is a quarter of an amount and is calculated by dividing by 4.So, the equation in this case is:
(2n + 2n +2 + 2n +4 + 2n + 6)÷ 4= 11
Solving:
(8n +12)÷ 4=11
8n +12= 11× 4
8n +12= 44
8n= 44 -12
8n= 32
n= 32 ÷ 8
n= 4
Then, the smallest four integers can be calculated as:
2n= 2×4= 82n + 2= 2×4 + 2= 102n + 4= 2×4 + 4= 122n + 6= 2×4 + 6= 14Finally, the smallest four integers are 8, 10, 12, 14.
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Describe each pattern formed. Find the next three terms. 4,8,16,32
Answer:
The pattern is multiplying by 2.
Next three terms: 64,128,256
Step-by-step explanation:
4,8,16,32
To get from 4 to 8 we can multiply by 2.
To get from 8 to 16 we can multiply by 2.
To get from 16 to 32 we can multiply by 2.
So the pattern is multiplying by 2.
To find the next three terms:
32*2=64
64*2=128
128*2=256
)Simplify 5 − (−1).
a 6
b −6
c 4
d −4
Answer:
The answer is A. Aka 6
Step-by-step explanation:
6. Anna solved three problems on her math test. One of them was incorrect. Circle the problem that was solved incorrectly and find the correct answer.
32° 122°
B
4 . 10
83.2° X° A
83.2+74.1+×=180 157.3 +×= 180
x = 22.70
X
W 1420
M
X°
329 1089
142.7°
42+36.08+×= 180 78.08 +×= 180 ×= 101.92°
32 +×= 108 ×= 76°
It seems that the problem solved incorrectly is the one represented by letter A, which is trying to find the missing angle in a triangle. The correct answer is 74.1°, which can be obtained by subtracting the sum of the other two given angles (83.2° and 22.7°) from 180°.
The problem that Anna solved incorrectly is the last one: 32 + x = 108. The correct answer should be x = 76, not x = 108.
Explanation:In this math problem, Anna seems to be solving for unknown angles in several triangle problems. An important principle here is that the sum of the angles in a triangle always adds up to 180 degrees. Looking at the problems she solved:
83.2 + 74.1 + x = 180: The correct answer for x here is 22.7 degrees, and Anna solved it correctly.42 + 36.08 + x = 180: The correct answer for x here is 101.92 degrees, and Anna also solved this correctly.32 + x = 108: Misstep appears here. If we subtract 32 from both sides of the equation, the correct answer for x should be 76 degrees. However, Anna seems to have calculated x = 108, which is incorrect.So, the problem that was solved incorrectly is the last one: 32 + x = 108.
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of the tunc
67
y
5
4
3
2
х
-6 -5 4 3 2
0
1 2 3 4 5
6
-2
-3
-4
-5
-6
What’s the slope
Answer:
67
Step-by-step explanation:
the craated
Given: ,
bisects ∠AEC.
A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. A small box represents the angle for C E D.
What statements are true regarding the given statement and diagram?
∠CED is a right angle.
∠CEA is a right angle.
m∠CEA = One-half(m∠CEB)
m∠CEB = m∠BEA
m∠DEB = 135°
m∠AEB = 35°
Answer:
angle ced is a right ange
so the m angels debate =135 m angle aeb =35
so the answer is 135+35 =170
180 is a all side sim
=180-170=10 answer
Answer:
∠CED is a right angle.
∠CEA is a right angle.
m∠CEB = m∠BEA
m∠DEB = 135°
ILL GIVE BRAINLEST Determine whether the two angles in each figure are complementary, supplementary, or neither
Answer:
Step-by-step explanation:
If the sum of two angles = 180°
Then the pair of angles will be supplementary.
If the sum of two angles = 90°
Then the pair of angles will be complementary.
Sum of angles having measures 98° and 82° = 98° + 82°
= 180°
Therefore, both the angles will be supplementary.
Sum of angles having measures 134° and 36° = 134° + 36°
= 170°
Therefore, these angles are neither supplementary nor complementary.
So the answer is NEITHER.
-9-h/4=5 please help I'm dying if I dont solve this problem they will hang me on the rooftop and they will be dancing around me singing the ancient song of our school
Answer:
Step-by-step explanation:
-9--29=20/4=5 h=-29
Ryan earns $20 for every lawn that he mows.
Which set of ordered pairs represents the relationship between the number
of lawns Ryan mows and the money he earns?
Oa. (20,1),(40,2), (60, 3) Ob.(1, 20), (2, 40), (3, 60)
Oc. (0,20), (1, 40), (2, 60) Od. (1, 20), (2, 30), (3, 40)
Answer:
A is the correct answer
Answer:
B
Step-by-step explanation:
The first number should represent the lawns, and the second should represent the money he makes on each lawn.
A is incorrect because the numbers are swapped; Ryan does not earn one dollar for mowing 20 lawns.
C is wrong because if Ryan mows zero lawns, how can he make money. Although the multiplication is correct, it does not start at zero.
D is wrong because it is counting the price up by ten instead of adding 20.
B is right because every lawn is 20 more dollars, and that is what is shown.
OOlito
Part 1 of 4
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The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a
mean of 1252 chips and standard deviation 129 chips.
(a) What is the probability that a randomly selected bag contains between 1000 and 1500 chocolate chips, inclusive?
(b) What is the probability that a randomly selected bag contains fewer than 1050 chocolate chips?
(c) What proportion of bags contains more than 1200 chocolate chips?
(d) What is the percentile rank of a bag that contains 1475 chocolate chips?
a) the probability that a randomly selected bag contains between 1000 and 1500 chocolate chips is 0.7745 or 77.45%. ,
b) we can find that the area under the curve to the left of z=-1.71 is approximately 0.0436.
c) the proportion of bags that contains more than 1200 chocolate chips is 0.3446 or 34.46%..
d)a bag that contains 1475 chocolate chips is at the 95.82th percentile rank (or the top 4.18% of all bags).
what is probability?
Probability means measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that it is certain. If event has probability of 0.5
what is proportion?
Proportion refers to the relative size or amount of one quantity compared to another. It is a ratio of the part to the whole. For example, if there are 10 red balls and 30 balls in total, then the proportion of red balls is 10/30 or 1/3.
In the given question,
(a) probability that a randomly selected bag contains between 1000 and 1500 chocolate chips, we need to calculate the area under the normal curve between z-scores of -1.02 and 1.16, where:
z1 = (1000 - 1252) / 129 = -1.02
z2 = (1500 - 1252) / 129 = 1.16
Using a standard normal table or calculator, we can find that the area under the curve between z=-1.02 and z=1.16 is approximately 0.7745. Therefore, the probability that a randomly selected bag contains between 1000 and 1500 chocolate chips is 0.7745 or 77.45%.
(b) To find the probability that a randomly selected bag contains fewer than 1050 chocolate chips, we need to calculate the area under the normal curve to the left of z-score of:
z-scores = (1050 - 1252) / 129 = -1.71
Using a standard normal table or calculator, we can find that the area under the curve to the left of z=-1.71 is approximately 0.0436. Therefore,
(c) To find the proportion of bags that contains more than 1200 chocolate chips, we need to calculate the area under the normal curve to the right of z-score of:
z = (1200 - 1252) / 129 = -0.40
Using a standard normal table or calculator, we can find that the area under the curve to the right of z=-0.40 is approximately 0.3446. Therefore, the proportion of bags that contains more than 1200 chocolate chips is 0.3446 or 34.46%.
(d) To find the percentile rank of a bag that contains 1475 chocolate chips, we need to calculate the area under the normal curve to the left of the corresponding z-score.
z = (1475 - 1252) / 129 = 1.73
Using a standard normal table or calculator, we can find that the area under the curve to the left of z=1.73 is approximately 0.9582. Therefore, a bag that contains 1475 chocolate chips is at the 95.82th percentile rank (or the top 4.18% of all bags).
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Five-Number Summary
Greenville Oaktown
minimum = 1 minimum = 2
Q1 = 8 Q1 = 6
median = 12 median = 8
Q3 = 16 Q3 = 9
maximum = 22 maximum = 15
Construct a box-and-whisker plot of the data for each city on the same number line using the
five-number summaries.
A box-and-whisker plot, also known as a box plot, is a data visualization technique used to summarize and display the distribution of a set of values.
The five-number summary, which includes the minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value, is used to create the box plot. In this case, we are comparing the data for two cities, Greenville and Oaktown.
The five-number summary for each city is provided in the question: Greenville: minimum = 1 Q1 = 8 median = 12 Q3 = 16 maximum = 22 Oaktown: minimum = 2 Q1 = 6 median = 8 Q3 = 9 maximum = 15 To construct a box-and-whisker plot for each city on the same number line, we will use the following steps:
1. Draw a number line with the minimum and maximum values for both cities.
2. Draw a vertical line at the first quartile (Q1) for both cities.
3. Draw a box from Q1 to Q3 for both cities.
4. Draw a vertical line at the third quartile (Q3) for both cities.
5. Draw whiskers from the box to the minimum and maximum values for both cities.
6. Label each box-and-whisker plot with the name of the corresponding city. The resulting box-and-whisker plot for Greenville and Oaktown on the same number line is shown below:
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A violin is 100$
What is the price when it's marked down 10%
Answer:
90
Step-by-step explanation:
Answer:
it should be 95.40
Step-by-step explanation:
the exact value of sin 5pi/12 is
The exact value of sin(5π/12) is (√6 + √2)/4
Calculating the exact value of sin 5pi/12From the question, we have the following parameters that can be used in our computation:
sin 5pi/12
Express properly
So, we have
sin(5π/12)
Convert the angle to degrees
This gives
sin(5π/12) = sin(5/12 * 180)
Evaluate
sin(5π/12) = sin(75)
The actual value of sin(75) is (√6 + √2)/4
This means that
sin(5π/12) = (√6 + √2)/4
Hence, the exact value of sin(5π/12) is (√6 + √2)/4
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The exact value of sin 5π/12 is (√6 + √2)/4
What is trigonometric function?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Angle in trigonometry can be measured in either degree or radian.
π is a measurement in radian which is equivalent to 180° in degrees.
Therefore:
5π/12 = 5 × 180/12
= 75°
Therefore sin5π/12 = sin75°
sin75 = sin( 45+30) = sin45cos30+ cos 45sin30
= 1/√2 × √3/2 + 1/√2 × 1/2
= √3/2√2 + 1/2√2
= (√3+1)/2√2
rationalizing;
(2√6 + 2√2)/8
dividing through by 2
=(√6 + √2)/4
therefore tan75 =(√6 + √2)/4
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PLEASE HELP DUE IN 3 minutes
Answer: 15 swimmer younger than 30 years old
Step-by-step explanation:
if you multiply 5 and 2/5 x 6 what do you get (worth 15 points)
Answer:12
Step-by-step explanation:
=(5)*(2/5)*(6)
=12
Which of the following expressions is equal to (3g)4?
3 . g . g . g .g
12g
12 . g . g . g . g
3g . 3g . 3g . 3g
Answer:
The answer is = 12g
Because the 3 and the 4 will be multiplied
Type < or > to make this statement true -a___-b
The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 19. 17 < 23 20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)
To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.
To indicate that the first value is less than the second value, write <.
Alternatively, to indicate that the first value is greater than the second value, write >.
Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36
To determine the direction of inequality, we need to compare the values.
We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.
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The correct question would be as
Write > or < to make each statement true.
11. -5 0
12. 9 -8
13. -7 7
14. 55 -75
15. -32 -24
16. 89 73
17. -58 -51
18. -32 4
19. 17 23
20. 18 -36
Is the square root of 21 a rational number
Answer:
No
Step-by-step explanation:
But as we've stated, these prime factorizations are unique, so this can't be right. Therefore 21≠a2 , so a≠√21 , meaning that our earlier assumption of √21 being rational turns out to be wrong, therefore √21 is irrational.
for the salad bar Jenning must divide 8 bags of lettuce equally among 3 serving bowls how many bags of lettuce would be in each serving Bowl if they were divided equally?
A. 3/8
B. 3/7
C. 2 1/3
D. 2 2/3
Answer:
\(Unit = 2\frac{2}{3}\)
Step-by-step explanation:
Given
\(Bags = 8\)
\(Bowls = 3\)
Required
Determine the amount in each bowl
This implies that we calculate the unit measurement. This is calculated using:
\(Unit = \frac{Bags}{Bowls}\)
\(Unit = \frac{8}{3}\)
\(Unit = 2\frac{2}{3}\)
HELP WILL GIVE BRAINLYEST AND 60 POINTS EACH
Answer: It was a reflection. We can see it's not a translation because it's flipped. We can see it is not rotated because it isn't flipped upside down and it isn't a dilation because they are all the same size.
Reflection.
NO LINKS!! URGENT HELP PLEASE!!
Answer:
Step-by-step explanation:
1)
Congruency shortcuts:
HL, SSS, SAS, ASA, and AAS
where S=side
A=angle
H=hypotenule
L=leg
HL is only for a right triangle
If you can prove sides and angles are congruent according to those 5 rules, you have proven the triangles are congruent
Similarity shortcuts:
AA, SAS, SSS
We have triangle similarity if (1) two pairs of angles are congruent (AA) (2) two pairs of sides are proportional and the included angles are congruent (SAS), or (3) if three pairs of sides are proportional (SSS)
2)
BG ≅ GD >Given from image
IG ≅ GO >Given from image
<BGI ≅ <DGO >Vertical Angles
ΔBGI ≅ ΔDGO >SAS
You have proven that the triangles are congruent because you used the shortcut by proving a side and angle and a side are congruent so SAS makes them congruent
help!!!
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Determine each segment length in right triangle ABC
According to the figure the required lengths are
BD = 7 units
BC = 9.9 units
How to find the required lengthsThe required lengths is solved knowing that in a right triangle having angle 45 degrees, the lengths of the legs of the right triangle are equal.
Also, the perpendicular bisector creates another angle 45 degrees at angle B.
hence we another right triangle with a leg as 7 units hence BD is 7 units
solving for BC
BC = BA
BC² + BA² = CA²
BC² + BC² = 14²
2 x BC² = 196
BC² = 98
BC = √(98)
BC = 9.9 units
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A plate moves 200 m in 10,000 years. What is its rate in cm/year? 0.02 cm/year 2 cm/year 10 cm/year 100 cm/year
Answer: 2cm/year
Step-by-step explanation:
1m = 100cm
200m = 20000cm
10,000years = 20,000cm
1 year = 20,000/10,000 = 2cm
It's rate is 2cm/year
Answer:
0.02 cm/year
Step-by-step explanation:
200m:10,000 years
10,000 divided by 10,000=1
200 divided by 10,000=0.02
0.02m : 1 year
Best,
SunflowerJada
In chemistry class, Bob recorded the volume of a liquid as 12.2 mL. The actual volume was 11.8 mL. Use
the formula to find percent error of Bob's measurement to the nearest tenth of a percent.
Percent Error =
Experimental Value - Actual Value]
Actual Value
The percent error of Bob's measurement is
96.
x 100
Answer:
The percent error to the nearest tenth is:
3.6%
Step-by-step explanation:
In chemistry class, Bob recorded the volume of a liquid as 13.2 mL. The actual volume was 13.7 mL.
Help please! Thank you! :D❤️