Describe how to find the perimeter of an enlarged figure if you know the scale factor and the dimensions of the original figure.
Answer:
Perimeter of any figure is given by adding up all the side measurements.
So, when a figure is enlarged by a scale factor then we can multiply all the sides with the scale factor to get the new sides measurements and then we can find the perimeter.
Or simply we can find the perimeter of the original figure and then multiply by the scale factor.
In both the methods, the answer will be the same.
We can take an example:
Lets suppose the original figure to be a rectangle with length 5 cm and width 2 cm. The rectangle is enlarged by a scale factor of 6.
The original perimeter is = [tex]2(5+2)[/tex]
= [tex]2(7)=14[/tex] cm
1st method:
Multiply the length by 6 and width by 6 to get new dimensions.
Length becomes: [tex]5\times6=30[/tex]
Width becomes: [tex]2\times6=12[/tex]
Perimeter becomes: [tex]2(30+12)[/tex]
= [tex]2(42)=84[/tex] cm
2nd method:
Simply multiply 6 with the original perimeter.
[tex]14\times6=84[/tex] cm
We can see that in both methods, the perimeter is same.
Sample Response:
To find the perimeter of an enlarged figure, you can multiply the original figure’s perimeter by the scale factor. You could also multiply each dimension of the original figure by the scale factor to find the dimensions of the enlarged figure, and then add to find the perimeter.
Which equation could be used to find m∠J in △JKL? x = cos–1 x = cos–1 x = sin–1 x = sin–1
In in a random survey, 8 out of every 13 students were taking Pre-Algebra, how many students out of the larger population of 8,000 students would be taking Pre-Algebra?
A large Pizza has a diameter of 18 inches. If each large pizza is cut into 10 equal slices, what is the approximate area of 3 slices of pizza?
Help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A painting cost $225. If the sale price is $191.25, what is the percent discount
a student found the volume of a rectangular pyramid with a base area of 92 square meters and a height of 54 Meters to be 4968 cubic meters explain and correct the error
Answer:
1656
Step-by-step explanation:
1/3*92*54
A building is in the shape of a square pyramid. Each side of the base is 54 meters long and the height is 260 meters.
I know is 1/3 b*h
is that correct... google failed me before
Jalla's hourly wage is $11.791. Round her salary to the nearest cent
Helene bought 6 bottles of juice. The bottles were on sale at 10 bottles for $12. Which explanation correctly tells how to calculate the cost of 6 bottles? A. Step 1 Multiply $12 by 10 to figure out the cost of 1 bottle. Step 2 Divide that cost by 6. B. Step 1 Divide $12 by 10 to find out the cost of 1 bottle. Step 2 Multiply that cost by 6. C. Step 1 Multiply $12 by 10 to find out the cost of 1 bottle. Step 2 Multiply that cost by 6. D. Step 1 Divide $12 by 10 to find out the cost of 1 bottle. Step 2 Divide that cost by 6.
Option: B is the correct answer.
B. Step 1: Divide $12 by 10 to find out the cost of 1 bottle.
Step 2 : Multiply that cost by 6.
Step-by-step explanation:The cost of 10 bottles is: $ 12.
This means that the cost of 1 bottle is:$ (12/10)=$ 1.2
( Since the cost of 1 bottle will be less and hence the total cost must be divided by the number of items in order to obtain the cost of 1 item)
and similarly in order to find the cost of 6 items we need to multiply the cost of 1 item by 6.Hence, cost of 6 bottles of juice is: $ (1.2×6)=$ 7.2
Hence, the correct answer is:
B. Step 1: Divide $12 by 10 to find out the cost of 1 bottle.
Step 2: Multiply that cost by 6.
what is the equivalent fraction of each one. 3/4 and 9/15 and24/40 and 5/7
Math question help please!
Nancy builds a hollow wooden ramp for an obstacle course as part of an athletic event. The ramp and the net of the ramp are shown below. Units are in feet. The surface area of the ramp is square feet. Nancy wants to sell the wooden ramp at a price based on the surface area. If each square foot of wood of the ramp is sold for $3, the ramp would sell for $.
Nancy can sell the wooden ramp for $486 based on the surface area.
What is Area of Rectangle?The area of Rectangle is length times of width.
The area of each rectangular face is length times width, so the top and bottom faces have an area of:
2 x (8 feet x 3 feet) = 48 square feet
The side faces also have an area of:
2 x (8 feet x 6 feet) = 96 square feet
The area of each triangular face is one-half the product of the base and the height, so the front and back faces have an area of:
2 x (0.5 x 3 feet x 6 feet) = 18 square feet
The total surface area of the ramp is the sum of the areas of all the faces:
48 + 96 + 18 = 162 square feet
If each square foot of wood of the ramp is sold for $3, then the ramp would sell for:
162 square feet x $3/square foot = $486
Therefore, Nancy can sell the wooden ramp for $486 based on the surface area.
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Which of the following is a solution to 3tan^3x=tanx?
PLEASE HELP
Answer:
its 150 degrees i think
Step-by-step explanation:
i could be wrong though but i'm like 80% sure im right
An open rectangular box having a volume of 108 in.3 is to be constructed from a tin sheet. find the dimensions of such a box if the amount of material used in its construction is to be minimal. hint: let the dimensions of the box be x in. by y in. by z in. then, xyz = 108 and the amount of material used is given by
Given that the volume of a rectangular box is a product of its length, breadth, and height, we define our problem using the given volume of 108 cubic inches and the formula for the surface area of an open box. To find the dimensions that will use minimal material requires the application of calculus and optimization techniques.
Explanation:In this problem, we know that the volume of the open rectangular box is 108 cubic inches. The volume of a rectangular box can be calculated with the formula V = xyz where x, y, and z are the length, width, and height. If we let the dimensions of the box be x, y, and z inches respectively, it means that the volume V = 108 = x*y*z.
The amount of material used or the surface area S of an open box (a rectangular box without a top) is given by the formula S = xy + 2xz + 2yz. Here, our task is to minimize this surface area.
To minimize the surface area, we need to employ calculus, specifically the concept of optimal control. However to apply calculus, we need to express S in terms of one variable. We can get this by expressing y in terms of x and z using the volume formula. This leads to a complex optimization problem that involves calculus.
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an aviary places an order for 75 pounds of bird seeds. the order is filled by mixing different kinds of seeds from Bin A Bin B and Bin C Three times as much seed was added from Bin C as Bin A.Ifx respresents the amount of seed from Bin Cwhich expression represents the amount of bird seed mixed from Bin B
how many degrees are In a 1/ 4 turn
What does the expression 12f + 24 represent?
Answers:
Answer:
Option 1 : twenty four more than twelve times a number
Step-by-step explanation:
Given : 12f+24
To Find : What does the expression 12f+24 represents?
Solution:
The given expression : 12f+24
Option 1 : twenty four more than twelve times a number
The given expression 12f+24
This expression means 24 more than twelve times f
f is any number
So, we can say twenty four more than twelve times a number .
Thus Option 1 is correct
Option 2 :twenty four more than twelve plus a number
Let f be a number
So, (12+f)+24 is the obttained expression from option 2
Option 3 :twelve times the difference of number and twenty four.
Let f be a number
So, 12(24-f) is the obttained expression from option 3
Option 4 : twelve times the sum of a number plus twenty four
Let f be a number
So, 12(24+f) is the obttained expression from option 4
Thus option 1 represent the given expression 12f+24
Solve. 3x2 − 6x = 24 A) x = 2, x = 4 B) x = 3, x = 4 C) x = −2, x = 4 D) x = −4, x = 3
Answer:
First Answer - C
Second Answer B
Step-by-step explanation:
Prove or disprove: for all integers a, b, c, if a|bc, then a|b or a|c.
how to solve 5/8h = 1,1/2=5
Answer:
C
Step-by-step explanation:
Is this your question? I know that sometimes I accidentally put an equal sign instead of a plus.
what is the 5% of 300
Julia has to measure an object. She does not have a ruler. Tell what Julia could do to solve her problem.
the expression below is scientific notation for what number??
How many MP3 players in the shipment would you predict to be damaged if 6 MP3s in the sample had been damaged
solve for x 3x−91>−87 OR 21x−17>25
Answer:
x > 4/3
Step-by-step explanation:
The first inequality can be solved this way ...
3x -91 > -87
3x > 4 . . . . . . . add 91
x > 4/3 . . . . . . divide by 3
__
The second inequality has solution ...
21x -17 > 25
21x > 42 . . . . . . add 17
x > 2 . . . . . . . . . divide by 21
__
The solution set is the union of these overlapping solutions, so will be equal to the first solution:
x > 4/3
Answer:
The solution is [tex]x>\frac{4}{3}[/tex]
Step-by-step explanation:
A compound inequality is an inequality that combines two simple inequalities.
We want to solve for x the following compound inequality
[tex]3x-91>-87 \:{OR} \:{21x-17>25}[/tex]
Solving the first inequality for x, we get:
[tex]3x-91+91>-87+91\\\\3x>4\\\\x>\frac{4}{3}[/tex]
Solving the second inequality for x, we get:
[tex]21x-17+17>25+17\\\\21x>42\\\\x>2[/tex]
So our compound inequality can be expressed as the simple inequality:
[tex]x>\frac{4}{3}[/tex]
The graph of a compound inequality with an "or" represents the union of the graphs of the inequalities. A number is a solution to the compound inequality if the number is a solution to at least one of the inequalities.
Graphically, we get
Find the inverse of the function. y = 2x2 –4
Answer:
The inverse function is [tex]y=\sqrt{\frac{x+4}{2}}[/tex]
Step-by-step explanation:
The given function is [tex]y=2x^2-4[/tex].
This function is only invertible on the interval, [tex]x\ge 0[/tex].
To find the inverse on this interval, we interchange [tex]x[/tex] and [tex]y[/tex].
[tex]x=2y^2-4[/tex]
We now make [tex]y[/tex] the subject to get,
[tex]x+4=2y^2[/tex]
[tex]\Rightarrow \frac{x+4}{2}=y^2[/tex]
[tex]\Rightarrow \pm \sqrt{\frac{x+4}{2}}=y[/tex]
But the given interval is [tex]x\geq 0[/tex], This implies that, [tex]y\geq 0[/tex].
[tex]y=\sqrt{\frac{x+4}{2}}[/tex]
Let v be the vector from initial point P1 to terminal point P2. Write v in terms of i and j. 2) P1 = (0, 0); P2 = (3, -4)
The vector [tex]\( \mathbf{v} = 6\mathbf{i} - 3\mathbf{j} \)[/tex].
Its magnitude is [tex]\( \sqrt{45} \)[/tex] in reduced radical form.
To find vector [tex]\( \mathbf{v} \)[/tex] from point [tex]\( P_1 \)[/tex] to point [tex]\( P_2 \)[/tex], we subtract the coordinates of [tex]\( P_1 \)[/tex] from the coordinates of [tex]\( P_2 \)[/tex]:
[tex]\[\mathbf{v} = \begin{pmatrix} x_2 - x_1 \\ y_2 - y_1 \end{pmatrix}\][/tex]
Given [tex]\( P_1 = (-2, 5) \) and \( P_2 = (4, 2) \), we can calculate \( \mathbf{v} \):[/tex]
[tex]\[\mathbf{v} = \begin{pmatrix} 4 - (-2) \\ 2 - 5 \end{pmatrix} = \begin{pmatrix} 6 \\ -3 \end{pmatrix}\][/tex]
So, [tex]\( \mathbf{v} = 6\mathbf{i} - 3\mathbf{j} \)[/tex].
To find the magnitude of [tex]\( \mathbf{v} \)[/tex], we use the formula:
[tex]\[|\mathbf{v}| = \sqrt{v_x^2 + v_y^2}\][/tex]
Where [tex]\( v_x \)[/tex] and [tex]\( v_y \)[/tex] are the components of [tex]\( \mathbf{v} \)[/tex]
For [tex]\( \mathbf{v} = 6\mathbf{i} - 3\mathbf{j} \), \( v_x = 6 \) and \( v_y = -3 \)[/tex]:
[tex]\[|\mathbf{v}| = \sqrt{(6)^2 + (-3)^2} = \sqrt{36 + 9} = \sqrt{45}\[/tex]
Thus, the magnitude of vector [tex]\( \mathbf{v} \) is \( \sqrt{45} \)[/tex] in reduced radical form.
Correct question is:
Let v be the vector from initial point P1 to terminal point P2.
Write v in terms of i and j, and find the magnitude of vector v.
Leave the magnitude in reduced radical form.
P1 = (-2,5) , P2 = (4,2)
A science class is tracking the progress of plant growth. The class starts the experiment with a plant five centimeters high. The plant grows two centimeters each day. The model for plant growth "y" is given by: y = 2x + 5. What is the meaning of the y-intercept in this equation? A) the y-intercept is the starting date Eliminate B) the y-intercept is two times larger than five C) the y-intercept is the starting height of the plant D) the y-intercept is the largest height the plant can grow
check all that apply