NO LINKS!! URGENT HELP!!
Calculate the perimeter of the following figures.
Answer:
Quadrilateral: 20.5 units
Triangle: 8.6 units
Step-by-step explanation:
Quadrilateral:
We can use the following formula to find the perimeter of a quadrilateral.
Perimeter = AB + BC + CD + DA
where AB, BC, CD, and DA are the lengths of the four sides of the quadrilateral.
In your case, the coordinates of the vertices of the quadrilateral are A(-3,-1), B(-3,3), C(2,3), and D(4,-1).
Using the distance formula, we can find the lengths of the four sides of the quadrilateral as follows:
\(AB = \sqrt{(-3 - (-3))^2 + ((-1) - 3)^2} = \sqrt{16} = 4\)
\(BC = \sqrt{(-3 - 2)^2 + ((3) - 3)^2} = \sqrt{25}= 5\)
\(CD = \sqrt{(2 - 4)^2 + ((3) - (-1))^2} = \sqrt{4+16} = 2\sqrt{5}\)
\(DA = \sqrt{(4 - (-3))^2 + ((-1) - 1)^2} = \sqrt{49} =7\)
Therefore, the perimeter of the quadrilateral is:
Perimeter = AB + BC + CD + DA
= \(4+5+2\sqrt5+7=20.5\) units
Triangle
The perimeter of a triangle is the total length of all three sides of the triangle. To find the perimeter of a triangle, we can use the following formula:
Perimeter = AB + BC + CA
where AB, BC, and CA are the lengths of the three sides of the triangle.
In your case, the coordinates of the vertices of the triangle are
E(-4,1), F(-2,3), and G(-2,4). Using the distance formula, we can find the lengths of the three sides of the triangle as follows:
\(EF = \sqrt{(-4 - (-2))^2 + ((1) - (3))^2} = 2\sqrt{2}\)
\(FG = \sqrt{(-2 - (-2))^2 + ((3) - (4))^2} = 1\)
\(EG = \sqrt{(-4 - (-2))^2 + ((1) - (4))^2} = \sqrt{4 + 9} = \sqrt{13}\)
Therefore, the perimeter of the triangle is:
Perimeter = EF + FG + EG
= 4 + 1 + \(\sqrt{13}\)
=8.6 units
Therefore, the perimeter of the quadrilateral is 20.5 units and the perimeter of the triangle is 8.6 units
Solve for X
2x - 8 = 30
Answer:
x=19
Step-by-step explanation:
2x - 8 = 30
get x by itself by adding 8 to both sides
2x=38
divide by 2
x=19
Calculate the amount you would pay (including tax) for an item normally priced $1199 that is currently 30% off, for which you have an additional 10% off coupon, in an area where sales tax is 7%. (the discounts can be stacked or figured sequentially, tax must be applied after the discounted price is determined)
Answer: The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:
30% of $1199 = 0.3 x 1199 = $359.70
So, the discounted price is:
$1199 - $359.70 = $839.30
Next, we apply the additional 10% off coupon to this discounted price:
10% of $839.30 = 0.1 x $839.30 = $83.93
The final price after the coupon is applied is:
$839.30 - $83.93 = $755.37
Finally, we calculate the sales tax on this final price:
7% of $755.37 = 0.07 x $755.37 = $52.88
The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
THE MARKED PRICE OF A BOOK IS ₹225 THE PUBILSHER ALLOWS DISCOUNT ₹ 10PERSENT UNIT FIND THE SELLING PROFIT
255-10
245 skaisusjxl ksusus
Solve the equation
2x + 5 -12
what is the y-intercept of the graph below?
What are the next three terms in the sequence -27, -19, -11, -3, 5, ...?
A. 13, 21, 29
B. 22, 29, 36
C. 15, 22, 29
D. 8, 15, 22
Answer:
13, 21, 29
Step-by-step explanation:
the difference is 8
so add 8 to last numbers
Answer:
A
Step-by-step explanation:
u subtract each number by 8 then once u get to 5 u start adding them all by 8
need help with geometry
To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:
Volume = π * r² * h
Substituting the given values, we have:
\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)
To solve for h, we divide both sides of the equation by 153.86:
h = 1500 / 153.86
h ≈ 9.75
Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.
Therefore, the height of the cylinder is 9.75 inches.
Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.
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Melody picks a number. She triples the number, squares the result, divides the square by 2, subtracts 30 from the quotient, and gets 42. What are the possible numbers that Melody could have picked?
The possible numbers that Melody could have picked are -4 and 4.
The operation that prevents us from knowing with 100% certainty the number Melody had picked is multiplication which is implied by the phrase "double the number".
Given, Let x be the number Melody had chosen.
Thus, tripling the number will give 3x, and
squaring this will result to (3x)² which is equals to 9x².
Dividing the square of the number by 2 and subtracting 30 from its quotient will give 42:
9x²/2 ₋ 30 = 42
9x²/2 = 42 ₊ 30
9x²/2 = 72
9x² = 72 × 2
9x² = 144
x² = 144/9
x² = 16
x = ±√16
x = ±4
x = ₊4 or x = 4
hence melody could have picked ₊4 or ₋4 numbers.
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There are 26 boys and 20 girls in a class.
The boys and the girls have some counters.
The mean number of counters that the boys have is 28.
The mean number of counters that the girls have is 19.
Work out the mean number of counters the 46 children have.
Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.
What is the mean?The mean refers to the average value.
The average is the quotient of the total value divided by the number of items in the data set.
The number of boys in the class = 26
The number of girls in the class = 20
The total number of boys and girls in the class = 46
The mean number of counters that the boys have = 28
The total number of counters that the boys have = 728 (28 x 26)
The mean number of counters that the girls have =19
The total number of counters that the girls have = 380 (19 x 20)
The total number of counters that the class has = 1,108 (728 + 380)
The average or mean number of counters in the class = 24 (1,108 ÷ 46)
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Find the volume of a cone with a radius of 4 ½ m. and a height of 10 m.
The volume of the cone is approximately 211.06 cubic meters.
Why is that?
Well, the formula for the volume of a cone is:
V = (1/3)πr^2h
where:
Substituting the given values, we get:V = (1/3)π(4.5m)^2(10m)
V = (1/3)π(20.25m^2)(10m)
V = (1/3)π(202.5m^3)
V = 67.5π
Using a calculator, we get:
V ≈ 211.06 cubic meters
Therefore, the volume of the cone is approximately 211.06 cubic meters.
Which number line represents all of the values of x for the equation x^2 = 64? (5 points)
Answer:
8
Step-by-step explanation:
x=8 because if you take the square root of 64 you get 8 so that means 8^2= 64
Answer:
C) I got it right
Step-by-step explanation:
shareholders. Calculate the amount of dividend r of dividend received by Bishwant. Curriculum Development Centre. Sanothimi. Bhaktanur 65 Vedanta Excel in Mathematics - Booeceived by Mrs. Rai. b) A Business Company sold 2,500 shares at Rs 1,200 per share. Bishwant bought 450 shares. If the company earned a net profit of Rs 39,00.000 in a year and it announced to distribute 18% dividend from the net profit to its shareholders, find the amount
3900000×18% = 702000
702000÷2500 = 280.8 per share dividend
450×280.8 = 126360
Two machines just completed projects at the same time. Machine A completes a project every 5.5 minutes. Machine B completes a project every 5.25 minutes. How long will it be until both machines complete a project at the same time?
It would take 2.69 minutes for both machines to complete the project at the same time
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
Machine A completes a project every 5.5 minutes. Machine B completes a project every 5.25 minutes.
Let t represent time it would take both machines to complete the project, hence:
(1/5.5 + 1/5.25)t = 1
86t/231 = 1
t = 2.69 minutes
It would take 2.69 minutes to complete
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A man walking on a railroad bridge is 2/5 of the way along the bridge when he notices a train at a distance approaching at the constant rate of 45 mph . The man can run at a constant rate in either direction to get off the bridge just in time before the train hits him. How fast can the man run?
Answer:
9mph
Step-by-step explanation:
Given the following :
Speed of train = 45miles per hour
Distance of the man = 2/5
To avoid just about being hit by the train:
The main may run to the start point of the bridge towards the train = 2/5 length of the bridge, this is also when the train gets to the bridge
If the man runs forward away from the train, he has to cover a distance of (1 - 2/5) = 3/5 to avoid being hit, this is also when the train gets to the end of the bridge.
From here it could be inferred that :
The distance 3/5 ran by the man away from the bridge is equivalent to (3/5 - 2/5) =1/5, which seems to be moved by th etrain during the same period.
However, the only explanation for the discrepancy in length or distance is that the train moves faster than the man.
If the train's speed = 45mph
Then the train's speed is 5 times the speed of the man;
Man speed is thus;
(1/5) * 45 = 9mph
Planes A and B intersect.
Which describes the intersection of line m and line n?
P
point W
point X
m
2
n
2
point y
X
w
Y
point Z
V
Answer:
Point W
Step-by-step explanation:
Planes A and B intersect at an angle. Intersection of lines is when two lines meets at a particular point and cuts each other at the same point. Its a measure of perpendicularity for right angles and greater or lesser for others.
At any point W, line m and line n cuts each other at point W to form an angle as shown from the diagram.
Consider the following system of two linear equations:
4y + 3x = 0
4y - x = 16
What is the point of intersection?
Answer: The two lines intersect at (-4,3)
Step-by-step explanation:
So our first step would be to turn both of these into standard slope-intercept form.
1.)
4y + 3x = 0
4y = -3x
y = -3/4x
2.)
4y - x = 16
4y = x + 16
y = 1/4x + 4
Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)
2. the sum of x and 9
Answer:
x + 9
Step-by-step explanation:
The sum of x and 9,
x + 9
Help me out here pls
Answer: I'm pretty sure it's b.
Step-by-step explanation:
When you simplify negative exponents u have to change it to a fraction out negative exponents in bottom and make the exponents positive
Top Golf charges $12 for each hour. You can spend no more than $60.
Which of the following inequalities could help you solve for all the possible hours, h,
that you can golf for?
Answer:
Step-by-step explanation:
12x<60
The < will have a underline
can you plz answer this fast for 10 points? I do not understand this question
MULTIPLE CHOICE QUESTION Parabola: y = x2 + 4x - 5 Which parabola will open downward when graphed? Green Red Parabola: y=-x2+x+6
Answer:
green one
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
• If a > 0 then the graph opens upwards
• If a < 0 then the graph opens downwards
y = - x² + x + 6 , has a = - 1 < 0
Then its graph will open downwards
Hello I need help
Find the missing side lengths, leave your answers as radicals in simplest form
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\(y = \frac{1}{2} \times \frac{8 \sqrt{3} }{3} \\ \)
\(y = \frac{4 \sqrt{3} }{3} \\ \)
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\(x = \frac{ \sqrt{3} }{2} \times \frac{8 \sqrt{3} }{3} \\ \)
\(x = \frac{8 \times { \sqrt{3} }^{2} }{2 \times 3} \\ \)
\(x = \frac{8 \times 3}{2 \times 3} \\ \)
\(x = \frac{8}{2} \\ \)
\(x = 4\)
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Andy's seventh grade class was going on a
field trip. A total of 218 people were going.
They were divided evenly among 4 buses,
however 6 people drove together in a car.
Write and solve an equation to determine
how many people were on each bus. Let p
represent the number of people.
Which expression is equivalent to 1/64?
Answer:
There is an infinite number of possibilities because you gave us no answer choices. Here are some of them:
2/128
4/256
6/384
8/512
And we could go on and on with this.
Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D
Answer: It was the crossroads for four major railroads. President Abraham Lincoln knew that if his army could capture Chattanooga, vital Confederate supply lines would be severed, and the war would be closer to an end.
Step-by-step explanation:
A bag contains 4 red marbles, 3 blue marbles, and 3 yellow marbles. Match each statement with the correct value.
Answer:
The total number of marbles is 10, the number of blue marbles is 3, and the red marbles are 4.
Step-by-step explanation:
have a nice day.
Question 8 Suppose the graph of rectangle ABCD shows the scale drawing for a safety fence that Kenny is setting up around a construction area. Each unit on the graph represents 25 feet. After studying the scale drawing, Kenny decides to build a fence that encloses a larger area. If Kenny dilates rectangle ABCD by a scale factor of 2.5, and fencing costs $5.25 per foot, how much will he spend on fencing?
Kenny will spend $4,593.75 on fencing the dilated rectangle.
What is rectangle ?
A rectangle is a quadrilateral with four right angles (90-degree angles) and opposite sides of equal length. It is a type of parallelogram in which both pairs of opposite sides are parallel and congruent (of equal length). The opposite sides of a rectangle are also perpendicular (form a right angle) to each other. The area of a rectangle is equal to the product of its length and width, while its perimeter is equal to the sum of the lengths of all its sides. Rectangles are commonly used in geometry, architecture, engineering, and many other fields.
According to the question:
Since each unit on the graph represents 25 feet, the dimensions of the original rectangle ABCD are:
AB = 4 units, which represents 4 x 25 = 100 feet
BC = 3 units, which represents 3 x 25 = 75 feet
Therefore, the perimeter of ABCD is 2(AB + BC) = 2(100 + 75) = 350 feet.
When dilating by a scale factor of 2.5, each dimension of ABCD will be multiplied by 2.5. Therefore, the dimensions of the dilated rectangle A'B'C'D' are:
A'B' = AB x 2.5 = 100 x 2.5 = 250 feet
B'C' = BC x 2.5 = 75 x 2.5 = 187.5 feet
The perimeter of A'B'C'D' is 2(A'B' + B'C') = 2(250 + 187.5) = 875 feet.
Therefore, Kenny will need to fence a perimeter of 875 feet. At a cost of $5.25 per foot, the total cost of fencing will be:
875 feet x $5.25/foot = $4,593.75
Therefore, Kenny will spend $4,593.75 on fencing the dilated rectangle.
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Please answer this without making mistakes
Answer: $0.0209
Step-by-step explanation:
Answer:
69.3 or 6930%
Step-by-step explanation:
69 3/10 calculate 69.3
Rewrite as a percentage: 69 3/10 1st convert the mixed number to an improper fraction 693/10 2nd write as a decimal fraction 6930/100 3rd by definition p/100=p% 6930 %. Solution: 6930%
The function f(1) = 60,000(2)
00(2) 410 gives the number
of bacteria in a population & minutes after an initial
observation. How much time, in minutes, does it
take for the number of bacteria in the population to
double?
It takes 10 minutes for the number of bacteria in the population to double.
To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.
The given function is f(t) = 60,000 * 2^(t/10).
To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:
120,000 = 60,000 * 2^(t/10).
Next, we can simplify the equation by dividing both sides by 60,000:
2 = 2^(t/10).
Since both sides of the equation have the same base (2), we can equate the exponents:
t/10 = 1.
To solve for t, we multiply both sides by 10:
t = 10.
Therefore, it takes 10 minutes for the number of bacteria in the population to double.
This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.
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At a table tennis club, the ratio of boys to girls was 6:5. If there were
165 members in the club, how many boys were there?
Answer:
60 boys because the the girls will be