Answers
Answer:
19 square units
Step-by-step explanation:
Hello!
Step 1: Plot the points
We are first going to plot the points on the coordinate graph and connect the points to create a shape.
Refer to attachment titled "Step 1"
Step 2: Box the shape
Since this is an irregular shape, I'm going to make a box around the shape and subtract the area of the empty spaces to find the area of the original polygon.
Refer to attachment titled "Step 2"
Step 3: Area of Edges
We are going to find the area of the shapes A, B, and C and subtract them from the area of the big box to find the area of the polygon.
Area of a triangle = 1/2(base x height)
Area of Box = 6 un x 7 unArea of Box = 42 un²Area of A:
Area A = 1/2(4 un x 2 un)Area A = 1/2(8 un²)Area A = 4 un²Area of B:
Area B = 4 un x 4 unArea B = 16 un²Area of C:
Area C = 1/2(2 un x 3 un)Area C = 1/2(6 un²)Area C = 3 un²Step 4: Area of the polygon
Now, we can simply subtract the values of A, B, and C from the box to get the area of the polygon.
Area Polygon = Box - A - B - CArea Polygon = 42 un² - 4 un² - 16 un² - 3 un²Area Polygon = 38 un² - 16 un² - 3 un²Area Polygon = 22 un² - 3 un²Area Polygon = 19 un²The area of the polygon is 19 un²
-Chetan K
Related Questions
Pablo took his $50 gift card to the
toy store. He bought a game for
$24.99. How much money does he have left on his gift card?
Answers
Answer:
$25.01
Step-by-step explanation:
I used simple subtraction:
50 - 24.99 = 25.01
Hope this helps!! :)
Please answer with steps
|-10k+7|
-------------
3 =4
Answers
————- =4
3
-10k +7 = 12
-10k = 5
K = -1/2
Talia wants to find the amount of sugar that will fit in a box that is 4 inches long, 2 inches wide, and 6 inches high. What measurement does she need to calculate?
Answers
Answer:
Volume She needs to calcite the volume of the box
Answer:
48
Step-by-step explanation:
A student draws three vertices of a square on the coordinate plane. The three vertices are X ( − 10 , − 1 ) , Y ( − 10 , 5 ) , and Z ( − 4 , − 1 ) . Which coordinate pair could be the fourth vertex of the square?
Answers
The coordinate pair (-4,5) could be the fourth vertex of the square.
QuadrilateralsThere are different types of quadrilaterals, for example: square, rectangle, rhombus and trapezoid. Each type is defined accordingly to its length of sides and angles. For example, the square has all side equals and angles equal to 90°.
For solving this question, you should plot the given points as shown in attached image. Note that you have only two sides of a square, and you need a point (W) for completing the square.
As you have a square, all sides should have the same dimensions and all angles should equal to 90°. Therefore, the coordinates for the point W should result in equal and parallel sides XY and XZ. For this, from the attached image, you can see that the x-coordinate for the point W should be equal to the x-coordinate for the point Z. And, the y-coordinate for the point W should be equal to the y-coordinate for the point Y.
Thus, coordinate pair (-4,5) would be the fourth vertex of the square.
Read more about the quadrilaterals here:
https://brainly.com/question/12556704
factorise :
2x^3-x^2-7x+6
Answers
First look at the first two
2x^3 - x^2
What is similar between them
Charlotte made a bracelet using red, gray, and white beads.
Five-ninths of the bracelet is white.
The rest of the bracelet has an equal amount of red and gray.
How much of Charlotte's bracelet is gray?
Answers
Answer:
2/9
Step-by-step explanation:
5/9 is white,we have 4/9 left. 4/9 ÷ 2 is 2/9
Hope this helps
Solve for x.
−3.6+x4=−16.8
Answers
Answer:
Step-by-step explanation:
-3.6 + 4x = -16.8
4x = -16.8 + 3.6
4x = -13.2
x = -3.3
Hope that helps
Help me please, I really don't want to fail
Which system of equations has no solution?
Answers
Answer: Top left i'm pretty sure
Step-by-step explanation: Because there isn't a blue line and you need a blue line for it to be an equation
Answer:
Parallel line
Step-by-step explanation:
The parallel line doesn't connect so it a infinite therefore it means its a no solution line
10. Depression. A study published in the Archives of
a
General Psychiatry in March 2001 examined the
impact of depression on a patient's ability to survive
cardiac disease. Researchers identified 450 people
with cardiac disease, evaluated them for depression,
and followed the group for 4 years. Of the 361
patients with no depression, 67 died. Of the 89
patients with minor or major depression, 26 died.
Among people who suffer from cardiac disease, are
depressed patients more likely to die than
nondepressed ones?
a) What kind of design was used to collect these
data?
b) Write appropriate hypotheses.
c) Are the assumptions and conditions necessary for
inference satisfied?
d) Test the hypothesis and state your conclusion,
e) Explain in this context what your P-value means.
f) If your conclusion is actually incorrect, which type of
error did you commit?
Answers
Among people who suffer from cardiac disease, are depressed patients more likely to die than nondepressed ones?
Yes, they are.a) The kind of design which was used to collect these data is:
Quantitative Research Design:b) The appropriate hypotheses is:
People who are depressed are more likely to die from cardiac arrest than people who are not depressed.c) Are the assumptions and conditions necessary for inference satisfied?
No, it is not. More tests and samples need to be concluded to make sure that it is not a chance occurrence.d) Test the hypothesis and state your conclusion,
The hypothesis made is consistent with the statistical data but there needs to be more observation and independent variables used.e) The best explanation of this context based on what your P-value means is:
The measure of probability of the observed difference between the groups of people shows that there is a small chance for the results being as a result of a random chance.f) If your conclusion is actually incorrect, the type of error which was committed is:
Type II error.What is a Hypothesis?This refers to the explanation which is given to a particular phenomena based on the trials and research done of which a conclusion has been made.
Read more about hypothesis here:
https://brainly.com/question/11555274
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
3, 5, 7, ...
Answers
Answer:
Step-by-step explanation:
This is an arithmetic series.
3 , 5 , 7 ,......
Common difference = second term - first term
= 5 - 3
= 2
The floor of a moving van is 3 feet off of the ground. The ramp into the van makes a 22. 3 angle with the ground. How long is the ramp?
12. 0 feet
7. 3 feet
3. 2 feet
7. 9 feet
Answers
Answer:
(d) 7.9 ft
Step-by-step explanation:
The geometry of the problem can be represented by a right triangle whose hypotenuse is the ramp, and the side opposite the given angle is 3 feet. Then the relevant trig relation is ...
Sin = Opposite/Hypotenuse
Solving for Hypotenuse, we find ...
Hypotenuse = Opposite/Sin
ramp length = (3 ft)/sin(22.3°) ≈ 7.9 ft
The ramp is about 7.9 feet long.
Find the length of AB.
please help!!
Answers
Answer:
8.6 is the answer
Step-by-step explanation:
A = (3,9)
B = (8,2)
d² = (8-3)² + (2-9)²
or, d² = 5² + (-7)²
or, d² = 25 + 49
or, d² = 74
d = 8.6
23. Angle F and G and Hare the angles of a triangle. Angle G is 8 more than twice angle'F.
Angle H is 14 less than 3 times angle F.
Answers
Answer: Your asnwer would be........................... 278
Step-by-step explanation: Angle F stands for numbers alll the letters do so if we were to understand all the coordnation then multiply them together you would get 278. However if this way was too hard can explane it on YT so come check out my three channels CAMERON the OG Football madnesss X and math nerds sub to all and check out my latest vid on Math nerds that will help you and you can also help me by subscribing
Marquis used the steps below to find the solution to the inequality Negative 5. 6 greater-than-or-equal-to x 3. 6. Step 1 Subtract 3. 6 from both sides of the inequality. Negative 5. 6 greater-than-or-equal-to x 3. 6. Negative 5. 6 minus 3. 6 greater-than-or-equal-to x 3. 6 minus 3. 6. Negative 9. 2 greater-than-or-equal-to x. Step 2 Interpret the results. X greater-than-or-equal-to negative 9. 2 x is greater than or equal to –9. 2. Step 3 Draw a number line. A number line going from negative 9. 5 to negative 8. 8. A closed circle is at negative 9. 2. Everything to the left of the circle is shaded. Which describes the first step in which Marquis made an error? In Step 1, Marquis should have added 3. 6 to each side of the inequality. In Step 2, Marquis should have interpreted the results as x less-than-or-equal-to negative 9. 2, which means that x is less than or equal to –9. 2. Marquis should have used an open circle at –9. 2 in Step 3. Marquis should have shaded the number line to the right of –9. 2 in Step 3.
Answers
Marquis solutions are;
The value of x is less than or equal to -9.2.Negative 9.2 is greater than or equal to x.The closed circle is at -9.6 that is everything to the left of the circle is shaded.What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.
Marquis used the steps below to find the solution to the inequality Negative 5.6 greater than or equal to x + 3.6 that can be written as
[tex]\rm -5.6 \geq x + 3.6[/tex]
A. Then the value of x will be
- 5.6 ≥ x + 3.6
-5.6 - 3.6 ≥ x
-9.2 ≥ x
B. Negative 9.2 is greater than or equal to x.
C. The number line is shown. The closed circle is at -9.6 that is everything to the left of the circle is shaded.
More about the inequality link is given below.
https://brainly.com/question/19491153
Which of the following is NOT true about parallelograms?
options:
a parallelogram is a rectangle
a parallelogram is a quadrilateral
a parallelogram has no lines of symmetry
a parallelogram has 2 sets of parallel lines
Answers
"a parallelogram is a rectangle" is the correct answer.
Hope this helps :0
Answer:
a parallelogram has no lines of symmetry
A student states that natural resources could be saved if people made everything they need in labs. What is the main problem with this idea?(1 point)
There are not enough synthetic resources yet to make what people need.
People might think it is fine to waste a lot of the materials since they just came from a lab.
The materials made in labs will still pollute the environment and destroy natural resources.
Anything made in the lab requires natural resources to produce it.
Answers
Answer:
Step-by-step explanation:
Labs still require resources to build and so do work in. The problem with this idea is that labs cost a lot of materials to build. I'm not sure what you mean though.
From the observation deck of a skyscraper, Madison measures a 67^{\circ} ∘ angle of depression to a ship in the harbor below. If the observation deck is 1143 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.
Answers
The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of right angled triangle.
Let d represent the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:
Angle = 90 - 67 = 23°
Using trig ratio:
tan(23) = d/1143
d = 485.2 feet
The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.
Find out more on trigonometric ratio at: https://brainly.com/question/24349828
Answer:
Step-by-step explanation:
The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.
What is trigonometric ratio?
Trigonometric ratio is used to show the relationship between the sides and angles of right angled triangle.
Let d represent the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:
Angle = 90 - 67 = 23°
Using trig ratio:
tan(23) = d/1143
d = 485.2 feet
The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.
sam and jennna decide to purchase a tv on black friday. the sale price is $499. if jenna pays $123 more than sam, how much did sam pay?
Answers
Answer:
Sam would pay $188 and jenna would pay $311.
Step-by-step explanation:
If c = 4, evaluate the following expression:
[tex] \sqrt{c} [/tex]
Answers
Answer:
2 is the answer
Step-by-step
Find the formula for an arithmetic sequence problems.
Answers
Answer:
The arithmetic sequence formula to find the sum of n terms is given as follows: Sn = n/2 (a1 + an) Where Sn is the sum of n terms of an arithmetic sequence.
If two angles are supplementary and one of the angles measures 38, what is the measure of the larger angle?
Answers
Answer:
142°
Step-by-step explanation:
Angles are supplementary when they total 180°. If one of them is 38°, then the measure of the other angle is ...
180° -38° = 142°
The larger angle is 142°.
pls explain why no pls and thank u
Answers
Answer:
Step-by-step explanation:
So we have : c + 2.5 < 4.3
And it's asking whether c = 1.8 is a solution.
Substitue c = 1.8 in, we get :
1.8 + 2.5 < 4.3
4.3 < 4.3 (not true)
So, c = 1.8 is NOT a solution.
Answer:
No, because c = 1.8 would be wrong and the real answer would be c < 1.8
Step-by-step explanation:
Write the number in expanded notation
Answers
Answer:
6×10+"5×1"+7×1/10+"5×1/100"+"1×1/1,000"
Help please Im giving brianless and 100 points to the person who answer and show their work thank you very much
Answers
Answer:
8.5 ft (nearest tenth)
Step-by-step explanation:
To find the depth of the pool at the deep end, we need to find the height of the right triangle with angle 16.5° and add it to 4.5 ft
Base of the triangle = 35 - 9 - 12.5 = 13.5 ft
Use the tan trig ratio:
[tex]\tan(x)=\dfrac{O}{A}[/tex]
where x is the angle, O is the side opposite and angle and A is the side adjacent to the angle in a right triangle.
Given:
x = 16.5°O = h (height)A = 13.5 ft[tex]\implies\tan(16.5)=\dfrac{h}{13.5}\\\\\implies h= 13.5\tan(16.5)\\\\\implies h = 4.0 \textsf{ ft (nearest tenth)}[/tex]
Therefore, the depth of the pool at the deepest end = 4 + 4.5 = 8.5 ft (nearest tenth)
Now
[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{P}{B}[/tex]
[tex]\\ \rm\Rrightarrow tan16.5=\dfrac{P}{13.5}[/tex]
[tex]\\ \rm\Rrightarrow P=13.5tan16.5[/tex]
[tex]\\ \rm\Rrightarrow P=13.5(0.3)[/tex]
[tex]\\ \rm\Rrightarrow P\approx 4ft[/tex]
Please help me, I will give brainliest
Julia has a farm on a rectangular piece of land that is 150 meters long. This area is divided into two parts: A square area where she lives (whose side is the same as the width of the farm), and the remaining area where she grows artichokes. Every week, Julia spends $8 per square meter on the area where she lives and earns $4 per square meter from the area where she grows artichokes. This way, she manages to save some money every week. Write an inequality that models the situation. Use w to represent the width of Julia's farm.
Answers
Answer:
8w² < 4w(150-w)
Step-by-step explanation:
Square area of living : w · w = w²
Money spent : 8 · w²
Square area of artichokes : (150 - w) · w
Money earned : 4 · w · (150 - w)
Julia manages to save some money every week. That means that the money earned is bigger than the money spent ( the money spent is less than the money earned)
8 · w² < 4 · w · (150 - w)
3. A wire of length 90 cm is cut into three pieces. The lengths of the pieces are in the ratio 3:5:7. Calculate the length of (a) the longest piece. (b) the difference between the longest and the shortest piece. 3:5:1 Wire length: 90 cm
Answers
the difference between the longest and the shortest piece
Answer:
Step-by-step explanation:
First, simplify into the parts given by sum of ratio values.
90cm / 15 = 6 cm
(a) longest piece
= 7 x 6 = 42 cm
(b) difference between longest and shortest
shortest = 3 x 6 = 18 cm
Difference = 42 - 18 = 24 cm
It’s never lupus. Lupus is a medical phenomenon where antibodies that are supposed to attack foreign cells to prevent infections instead see plasma proteins as foreign bodies, leading to a high risk of blood clotting. It is believed that 2% of the population suffer from this disease. The test is 98% accurate if a person actually has the disease. The test is 74% accurate if a person does not have the disease. There is a line from the Fox television show House that is often used after a patient tests positive for lupus: “It’s
never lupus.” Do you think there is truth to this statement? Use appropriate probabilities to support your answer.
Answers
L = person has Lupus
~L = person does not have Lupus
P(L) = 0.02 since 2% of the population has it.
P(~L) = 1 - 0.02 = 0.98, ie 98% of the population does not have it.
------------------
If the person has Lupus, then the test will indicate as such 98% of the time, and do so correctly.
T = person tests positive for Lupus
~T = person tests negative for Lupus
P(T given L) = 0.98
The complement of this is
P(~T given L) = 1 - 0.98 = 0.02 = false negative rate
On the other hand, if a person does not have Lupus, then the test will return negative correctly 74% of the time.
P(~T given ~L) = 0.74
Its complement is
P(T given ~L) = 1 - 0.74 = 0.26 = false positive rate
------------------
Dr House saying "It's never Lupus" can be translated to "If the test is positive, then P(L) = 0"
Phrased another way symbolically:
P(L given T) = 0
-------------------
We'll use Bayes Theorem to determine the value of P(L given T)
In general, Bayes Theorem is
P(A given B) = P(B given A)*P(A)/P(B)
So for this problem, we'll have
P(L given T) = P(T given L)*P(L)/P(T)
We almost have everything needed but we're missing P(T)
So we'll need to use the law of total probability to break that up like so
P(T) = P(T and L) + P(T and ~L)
P(T) = P(T given L)*P(L) + P(T given ~L)*P(~L)
P(T) = 0.98*0.02 + 0.26*0.98
P(T) = 0.2744
-------------------
To recap, we have:
P(T given L) = 0.98P(L) = 0.02P(T) = 0.2744We finally have all the info needed to get the probability we're after.
P(L given T) = P(T given L)*P(L)/P(T)
P(L given T) = 0.98*0.02/0.2744
P(L given T) = 0.07142857142858 approximately
What does this tell us? It says that if a patient gets a positive test for lupus, then there's roughly a 7% chance the test is correct, and the person actually has lupus.
So it's likely Dr House is onto something. The reason why the small result is because a small percentage of the population has the disease.
Also, notice how the false positive rate P(T given ~L) = 0.26 = 26% is fairly high. This also provides more evidence to Dr House's claim.
To be entirely technically accurate, he shouldn't have used "never" because the result of P(L given T) is not zero. But I think a bit of wiggle room can be had for the interpretation of his words.
I need help please! 6 1/2 x 2 6/13
Answers
Answer:
16
Step-by-step explanation:
6x2+1/2=13/2
2x13+6=32/13
13/2x32/13=416/26
416/26=16
A rectangle that measures 7 feet by 5 feet.
Determine the perimeter of the rectangle.
__feet
Answers
Explanation:
The formula of perimeter of a rectangle is b + b+ H + H= here they gave us 7 and 5 so we just multiply 7 by 2 and multiply 5 by 2 then add the digits together now we get 24
Answer:
24 ft
Step-by-step explanation:
To find the perimeter of a rectangle we use the formula
P = 2(l+w) where l is the length and w is the width
P = 2 ( 7+5)
= 2(12)
= 24 ft
Please solve evevebbebe
Answers
Answer:
D. x ≥ 8
Step-by-step explanation:
Hello!
We can solve this as if it were a regular equation. We can pretend the inequality sign is an equal sign.
Solve:
6x - 15 ≥ 336x ≥ 48 =>add 15 to both sidesx ≥ 48 / 6 => divide both side by 6x ≥ 8The correct answer is option D. x ≥ 8
