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Related Questions
A rectangle is dilated by a scale factor of 4.
a) The original rectangle is 8 cm by 3 cm. What are the dimensions of the new rectangle?
b) Is the new image a reduction or enlargement? Explain.
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To find the new dimensions of the rectangle, what you must do is multiply each of the dimensions by the scale factor.
We have then:
(4) * (8) = 32 cm
(4) * (3) = 12 cm
Answer:
The dimensions of the new rectangle are:
32 cm by 12 cm
b) Is the new image a reduction or enlargement? Explain
As k> 1 (4> 1) then the new image is an enlargement of the original figure.
Answer:
the new image is a enlargement
When p2 – 4p is subtracted from p2 + p – 6, the result is 5p-6 To get p – 9, subtract
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Subtract p² - 4p from p² + p - 6 to get 5p - 6. To obtain p - 9, subtract 15 from 5p - 6.
Let's break it down step by step:
1. Subtracting p² - 4p from p² + p - 6:
Start by writing down the expression p² + p - 6.
Now, subtract p² - 4p from it term by term.
(p² + p - 6) - (p² - 4p)
2. Expand and Simplify:
Distribute the subtraction across each term inside the parentheses:
p² + p - 6 - p² + 4p
This simplifies to: (p² - p²) + (p + 4p) - 6
= 0 + 5p - 6
= 5p - 6
3. Now, to get p - 9:
We want to manipulate 5p - 6 to p - 9.
Subtracting 15 from 5p - 6 gives:
5p - 6 - 15
= 5p - 21
Therefore, subtracting 5p - 21 from 5p - 6 results in p - 9.
A bedroom is 15 ft long and 12 ft wide. How much will it cost to carpet the room if carpeting coats $22 per square foot. (1 yd=3 ft)
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A = bh
A = 15(12)
A = 180
The area of the bedroom is 180 square feet. The cost of carpeting the entire bedroom will be the amount of square feet of the bedroom (its area) times the cost per square foot of carpet. Multiply the area by the cost per square foot.
180 × 22 = 3960
It will cost $3,960 to carpet the bedroom.
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)?
y + 5 = x + 2
y − 2 = x − 5
y − 5 = −(x − 2)
y + 2 = −(x + 5)
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We are given point (2,5).
We need to find the equation of line perpendicular to the given line and passes through the point (2, 5).
We know point-slope form :
y-y1 = m(x-x1).
Plugging values of (x1,y1) = (2,5) in above slope-intercept form, we get
y - 5 = m(x-2).
Which matches 3rd option y − 5 = −(x − 2).
So, the correct option is y − 5 = −(x − 2).Answer:
The answer is C.
Step-by-step explanation:
Evaluate the Expression - show your work :)
Thanks!
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The answer is (n+3)!
Given: ABCD is a parallelogram m∠A = 60º ; BK ⊥ AD AK = KD; Perimeter of ABCD = 24 Find: BD.
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Then BD = AB. Denote AB by x and AK by y.
Then,
2x+4y=24 (the perimeter)
cos 60=y/x.
From the second equation we get [tex]y=0.5x[/tex]
Plug in the first equation we get:
[tex]2x+4(0.5x)=24\\2x+2x=24\\4x=24\\x=6[/tex]
We deduce that [tex]BD=6.[/tex]
Final answer:
To find BD, we can use the fact that the opposite sides of a parallelogram are equal in length. The length of BD is 4.8 units.
Explanation:
In the given problem, we have a parallelogram ABCD with m∠A = 60º. BK is perpendicular to AD and AK = KD. The perimeter of ABCD is 24. To find BD, we can use the fact that the opposite sides of a parallelogram are equal in length. Since AK = KD, the length of AD is twice the length of AK.
Let AK = x. Then AD = 2x. The perimeter of ABCD is given by P = AB + BC + CD + AD. Substituting the given values, we have 24 = AB + BC + CD + 2x. We know that AB = CD, so the equation becomes 24 = 2AB + 2BC + 2x. Rearranging the terms, we get AB + BC + x = 12.
Using the fact that opposite sides of a parallelogram are equal in length, we can deduce that BC = AB. Substituting this into the equation, we have 2AB + AB + x = 12. Simplifying, we get 3AB + x = 12. Since AK = KD, we have x = KD. Substituting this into the equation, we have 3AB + KD = 12. Since AK = KD, we have 3AB + AK = 12. Since AK = KD, we have 3AB + 2AK = 12. Simplifying, we get 3AB + 2AB = 12. Combining like terms, we get 5AB = 12. Dividing both sides by 5, we get AB = 12/5. Since AB = CD, we have CD = 12/5. Since opposite sides of a parallelogram are equal in length, we have BD = AD = 2x = 2(12/5) = 24/5 = 4.8.
For a circle with a diameter of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a length of 7 3 π meters?
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Answer : The measurement of a central angle is, [tex]140^o[/tex]
Step-by-step explanation :
Formula used for angle subtended by an arc is:
[tex]s=\frac{\pi r\theta}{180}[/tex]
where,
s = arc length = [tex]\frac{7}{3}\pi m[/tex]
r = radius = [tex]\frac{diameter}{2}=\frac{6m}{2}=3m[/tex]
Now put all the given values in the above formula, we get:
[tex]s=\frac{\pi r\theta}{180}[/tex]
[tex]\frac{7}{3}\pi=\frac{\pi \times (3)\times \theta}{180}[/tex]
[tex]\theta =140^o[/tex]
Thus, the measurement of a central angle is, [tex]140^o[/tex]
Help pleaseeeeeeeeeeeeeeeeee
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a = 12
k = 0.2
v(x) = 0 at the maximum after differentiation
V(x) = kx(a - x)
The easiest way to do this is to remove the brackets.
V(x) = akx - kx^2 Substitute the constants
V(x) = 12*0.2*x - 0.2x^2
V(x)/dx = 2.4 - 0.4x = 0 at the maximum
2.4 - 0.4x = 0
0.4x = 2.4
x = 2.4/0.4
x = 6
If you don't know any calculus yet, you can do this by completing the square.
The population of city A is 26% less than the population of city B, so city A's population is _____% of city B's.
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Answer:
The population of city A is [tex]74\%[/tex] of the population of city B
Step-by-step explanation:
Let
y------> population of the city A
x-----> population of city B
we know that
[tex](100\%-26\%)=74\%=\frac{74}{100}=0.74[/tex]
so
[tex]y=0.74x[/tex]
therefore
The population of city A is [tex]74\%[/tex] of the population of city B
Mae's cat weighs 5 3/8 pounds. What is the weight written as a decimal
?
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Reasoning: 8 goes into 3, 0.75 times plus 5 pounds
If w is inversely proportional to the square of v, and w=3 when v=6, fund w when v=3
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where k is the constant of proportionality, given by:
k=w√v
w=3 when v=6
thus
k=3√6
hence:
w=(3√6)/√v
hence the value of w when v=3 will be:
w=(3√6)/√3
w~4.24264
Let P be the point (1,1,-2). Suppose that the point P0(2, -5, 2) is 1/5 of the way from P to Q. Find the point Q.
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Q = 4P0 -4P +P0
Q = 5P0 -4P
Q = 5(2, -5, 2) -4(1, 1, -2)
Q = (6, -29, 18)
On a coordinate grid, point M is at (−8, 2) and point S is at (10, 2). The distance (in units) between points M and S is ______. (Input only whole numbers, such as 2.)
Answers
d=√(x2-x1)² + (y2-y1)²
d=√(-8-10)² + (2-2)²
d=√(-18)² + 0
d=18
silvio earns 10% for each car sale he makes while working at a used car dealership. If he sells a used car for $2,000 what is his commission
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If the car was sold for $2000
commission = 10% of $2000
commission = 0.1 x $2000
commission = $200
If silvio earns 10% for each car sale he makes while working at a used car dealership then he earns $200 as commission for selling car for $2,000.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that silvio earns 10% for each car sale he makes while working at a used car dealership.
silvio sells a used car for $2,000.
We have to find the commission earned by Silvio.
We have to calculate 10% of $2000 to find the commission.
Convert 10% to decimal value by dividing with 100.
commission = 10% of $2000
commission = 0.1 x $2000
commission = $200
Hence, if silvio earns 10% for each car sale he makes while working at a used car dealership then he earns $200 as commission for selling car for $2,000.
To learn more on Percentage click:
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PLEASE HELP WILL MARK BRAINLIEST
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.. rectangle + trapezoid = (4 ft)*(24 ft) +(4 ft +8 ft)*(16 ft)/2 = 192 ft^2
.. rectangle + triangle = (4 ft)*(40 ft) +(1/2)*(4 ft)*(16 ft) = 192 ft^2
The side area is multiplied by the width to find the volume.
.. V = (192 ft^2)*(20 ft) = 3840 ft^3 . . . . . . maximum water volume
_____
That's a pint or so more than 28,725 gallons.
In the Venn diagram, consider U = {students in 10th grade at Lee High School}.
The diagram shows the electives chosen by the students in the 10th grade.
How many students chose to participate in the painting class?
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We have been given a Venn diagram in which U = {students in 10th grade at Lee High School}. We are asked to find how many students have chosen to participate in the painting class.
We can see from our Venn diagram that 3 students are participating in chorus and painting. 2 students are participating in chorus, theater and painting. 4 students are participating in painting and theater.
To find total students who have chosen to participate in the painting class we will add all the students who are participating in other activities with painting.
[tex]\text{Students participating in painting class}=8+3+2+4[/tex]
[tex]\text{Students participating in painting class}=17[/tex]
Therefore, 17 students have chosen to participate in painting class.
Answer:
17
Step-by-step explanation:
2/5 of the Jazz is by musicians from New Orleans. How much of New Orleans music does Ivan have
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Ivan has 24 minutes of New Orleans jazz on his MP3 player.
To find out how much of an hour of New Orleans jazz Ivan has, we use the following steps:
1. We know that Ivan has an hour of jazz music on his MP3 player.
2. We are given that 2/5 of this jazz music is by musicians from New Orleans.
3. To find out how much of New Orleans jazz music that is, we calculate 2/5 of 1 hour.
Here's the calculation:
[tex]\( \frac{2}{5} \times 1 \text{ hour} = \frac{2}{5} \times 60 \text{ minutes} \)[/tex]
[tex]\( \frac{2}{5} \times 60 = \frac{120}{5} \text{ minutes} \)[/tex]
[tex]\( \frac{120}{5} = 24 \text{ minutes} \)[/tex]
Therefore, Ivan has 24 minutes of New Orleans jazz on his MP3 player.
complete question given below:
An open area at a local high school is in the shape of a quadrilateral. two sidewalks crisscross this open area as diagonal of the quadrilateral. If the walkways cross at their midpoints and the walkways are equal in length, what is the shape of the open area?
a rectangle
a rhombus
a parallelogram
a trapezoid
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Based on the properties of quadrilaterals, if the diagonals are congruent and bisect each other, it is a rectangle.
A landscape designer has a drawing of a flower bed that measures 6inches by 9 inches. The owner wants the actual flower bed to be 5 feet by 7.5 feet. What is the scale factor the designer must use to install the new flower bed
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Cpm/pert graphically displays the scheduling of tasks required to complete a project.
a. True
b. False
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And issue of a magazine contain the following statement dropping less than 2 inches per mile after emerging from the mountains a river drains into the ocean 1 days discharge at its mouth for trillion gallons could supply all of country as household for 5 months based on this statement determine how much water and average household uses each month assume that there are 200 million household in country a country a used approximately how many gallons per household per month
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(4*10^12 gallons)/(2*10^8 households·5 months)
.. = 4000 gallons/household/month
The measure of DF is 108. What is the measure of DEF, the tangent-chord angle?
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Answer:
The measure of DE is 108°. What is the measure of ZDEF, the tangent-chord angle?
54
Step-by-step explanation:
The sum of two numbers is 52. If twice the smaller number is subtracted from the larger number, the result is 13. Find the two numbers.
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Larger number = y Twice the smaller number subtracted from the larger
Smaller number = x is equal to 13:
y - 2x = 13 Solve for y: y = 2x + 13 Then substitute your value for y into the equation they gave you at the beginning:
(2x + 13) + x = 52 Solve the equation by simplifying:
3x = 52 - 13 3x = 39 x = 13 Then substitute your value for x (13) into the equation we made to solve for y:
y - 2(13) = 13 y - 26 = 13 y = 39
So your answer is, "The two numbers are 13 and 39."
A snail crawls at a pace of 3 cm a minute. What is the snail Pace in feet per hours?
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and there is 60 minutes in an hour.
3 * 60 = 80
80 / 30 = 2.666666666 feet
The snail travels about two feet per hour.
Answer: 2
round 149,640 to the nearest thousand.
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Which values of x will make the absolute value equation true? |x – 3| = 40
A. {–43, –37}
B. {43, –37}
C. {40, –40}
D. {43, 37}
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The values of x that satisfy the absolute value equation |x – 3| = 40 are 43 and -37. These are derived from solving the two possible scenarios for absolute value equations, resulting in a positive and a negative solution.
Explanation:To find which values of x will make the absolute value equation |x – 3| = 40 true, we need to consider both the positive and negative scenarios that can result from the absolute value. The absolute value of a number equals the number itself if it is positive or zero, and it equals the negative of the number if it is negative.
So, we set up two equations:
x - 3 = 40 (when x – 3 is non-negative)x - 3 = -40 (when x – 3 is negative)Solving the first equation for x, we add 3 to both sides:
x = 40 + 3
x = 43
Solving the second equation for x, we add 3 to both sides:
x = -40 + 3
x = -37
Therefore, the values of x that will satisfy the equation are 43 and -37. Option D is the correct answer.
Final answer:
The values of x that make the absolute value equation true are 43 and -37.
Explanation:
To solve the equation |x-3| = 40, we need to consider two cases:
1. x-3 = 40: In this case, we add 3 to both sides to isolate x and get x = 43.
2. -(x-3) = 40: In this case, we distribute the negative sign and add 3 to both sides to isolate x, which gives x = -37.
Therefore, the values of x that make the absolute value equation true are {43, -37}.
a rectangular swimming pool is 3 meter wide. The surface area is 30 sq meters...what is the length of the pool?
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what is −1.6+(−2.4)?
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Two numbers add to 336 and the first is 124 bigger than the second. What are the two numbers?
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Final answer:
To solve the problem, a system of equations is set up with the second number as 'x' and the first as 'x + 124.' The equations are simplified to find 'x = 106,' which makes the first number '230.' The two numbers are 106 and 230.
Explanation:
To find the two numbers that add to 336 and where the first number is 124 larger than the second, we need to set up a system of equations based on the information given:
Let the second number be x.
Then the first number will be x + 124 since it is 124 bigger than the second.
The sum of the two numbers is 336, so we can write the equation x + (x + 124) = 336.
Simplifying this equation, we get 2x + 124 = 336.
Subtract 124 from both sides to isolate the term with x, yielding 2x = 212.
Divide both sides by 2 to find x, which gives x = 106.
Since the first number is 124 larger, we add 124 to 106, resulting in the first number being 230.
Therefore, the two numbers are 106 and 230.
You estimate the distance from your house to your school to be 1.6 miles. The actual distance is 1.9 miles. Find the percent error. Round your answer to the nearest tenth of a percent.
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[tex]% Error = \frac{final value - given value}{given value} [/tex]
% error = (1.6 - 1.9)/1.9 * 100% = 15.79%
Final answer:
The percent error of the estimated distance from your house to school is 15.8% when rounded to the nearest tenth.
Explanation:
To find the percent error of your estimate, you use the formula:
Error = (|Estimated value - Actual value| / Actual value) × 100
Plugging the values from your question:
Error = (|1.6 miles - 1.9 miles| / 1.9 miles) × 100
Error = (|-0.3 miles| / 1.9 miles) × 100
Error = (0.3 miles / 1.9 miles) × 100
Error = 0.15789473684 × 100
Error = 15.789473684%
When rounded to the nearest tenth of a percent, the percent error is 15.8%.