Answer:
[tex]\large\boxed{\tt Area=250in.^{2}}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked for the area of a Dilated Rectangle.}[/tex]
[tex]\textsf{We are given the dimensions, 5 inches wide and 8 inches in length. Then, we are}[/tex]
[tex]\textsf{given a \underline{Scale Factor}.}[/tex]
[tex]\large\underline{\textsf{What is a Scale Factor?}}[/tex]
[tex]\textsf{A Scale Factor is a term that represents how large the next shape will be. Note}[/tex]
[tex]\textsf{that only sides of a shape are affected by the Scale Factor. Angles, and the form}[/tex]
[tex]\textsf{of the shape remain the same.}[/tex]
[tex]\underline{\textsf{Example;}}[/tex]
[tex]\textsf{We are given a rectangle with 5 cm. as the length, and 6 cm. as the width.}[/tex]
[tex]\textsf{The Scale Factor is 2.}[/tex]
[tex]\textsf{We will multiply the dimensions of the triangle by 2, then find the area.}[/tex]
[tex]\large\boxed{\tt Area = Length \times Width}[/tex]
[tex]\tt Area=(5 \times 2) \times (6 \times 2)[/tex]
[tex]\tt Area=10 \times 12[/tex]
[tex]\large\boxed{\tt Area=120cm^{2}}[/tex]
[tex]\large\underline{\textsf{For our problem;}}[/tex]
[tex]\textsf{We should start solving for the dilated area after multiplying the dimensions by}[/tex]
[tex]\textsf{the Scale Factor.}[/tex]
[tex]\textsf{Remember That You Should Not Multiply The Scale Factor By The Area.}[/tex]
[tex]\large\underline{\textsf{Solving;}}[/tex]
[tex]\textsf{Multiply the dimensions by the Scale Factor.}[/tex]
[tex]\tt Area=(5 \times 2.5) \times (8 \times 2.5)[/tex]
[tex]\underline{\textsf{This will evaluate to;}}[/tex]
[tex]\tt Area=12.5 \times 20[/tex]
[tex]\large\boxed{\tt Area=250in.^{2}}[/tex]
The area of the picture after being enlarged by a scale factor of 2.5 will be 250 square inches, which is determined by multiplying the new dimensions (12.5 inches by 20 inches). The correct answer is option b) 250 in².
To find the new area of the picture after enlargement, we use the scale factor. First, we find the original area of the picture by multiplying the width by the height: 5 inches * 8 inches = 40 [tex]in^2[/tex]. The photographer wants to enlarge the picture by a scale factor of 2.5. This means that both the width and the height of the picture will be multiplied by 2.5.
So the new width will be 5 inches * 2.5 = 12.5 inches and the new height will be 8 inches * 2.5 = 20 inches. Now we can calculate the enlarged picture's area:
12.5 inches * 20 inches = 250 [tex]in^2[/tex]. Therefore, the area of the picture after enlargement will be 250 square inches, which corresponds to option (b).
Write the following number in expanded form: fifty-four and elght tenths
Answer:
50 + 4 + . 8/10 I think
Step-by-step explanation:
54.8
The number 'fifty-four and eight tenths' in expanded form is represented as 50 + 4 + 0.8. Each digit's place value is broken down in this representation.
Explanation:The number 'fifty-four and eight tenths' is typically represented in decimal form as 54.8. In expanded form, we break down each digit's place value. Here are the steps:
Look at the digits in the number 54.8. The '5' is in the tens place and the '4' is in the ones place. Express the '5' in the tens place as 50 because 5 tens equals 50. Express the '4' as 4 because it is in the ones place. The '.8' represents eight tenths, so it can be written as 0.8.
When combined, the expanded form of 54.8 is 50 + 4 + 0.8.
Learn more about Expanded Form here:https://brainly.com/question/34236895
#SPJ2
Zack wants to make a profit of more than $300 for painting 4 identical rooms. The profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies is $32.50 for each room. Which inequality and solution represent the dollar amount, n, that zack must be paid for each room if he is to make a profit of more than 300$
A: n-4(32.5) > 300;n > 430
B: (n - 32.5) > 1,200; n > 332.5
C. (n-32.5)>300;n> 107.5
D 4n-32.5 > 300; n > 83.125
Answer: A
n-4(32.5) > 300;n > 430tep-by-step explanation:
given that Zack wants to make a profit of more than $300 for painting 4 identical rooms. That is
Profit > $300
Then, the profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies is $32.50 for each room. That is
n - 32.5 and
P + 32.5 × 4
Where 4 = number of rooms
P + 130
The minimum profit = 300 + 130 = $430
Therefore, the inequality and solution that represent the dollar amount, n, that zack must be paid for each room if he is to make a profit of more than 300$ is
n-4(32.5) > 300;n > 430
Final answer:
The correct inequality to represent the amount Zack must be paid per room to make a profit of more than $300 is C: (n-32.5) > 300; n > 107.5. After solving the inequality, it shows that n must be greater than $107.5 per room.
Explanation:
Zack aims to make a profit of more than $300 for painting 4 identical rooms. The cost of supplies per room is $32.50, and Zack's profit is based on what he's paid minus the supplies costs. To find the minimum amount, n, he needs to be paid per room to achieve this profit, we set up an inequality where the total amount paid for all rooms minus the total cost of supplies is greater than the desired profit.
The correct inequality is:
4n - 4(32.5) > 300
When simplified, this inequality becomes:
4n > 300 + 4(32.5)
4n > 300 + 130
Now, we solve for n:
4n > 430
n > 107.5
This means each room must be paid for an amount greater than $107.5 for Zack to make his desired profit. Therefore, the correct answer is C.
What is the simplified form of the expression?
Answer:
A
Step-by-step explanation:
a. type in 2⁻³ in the calculator and you get 0.125, which is 1/8.
b. Anything to the power of 0 will equal 1. :)
Answer:
A.
Step-by-step explanation:
a.
when you have a negative exponent, the simplified value becomes a fraction:
2^-3
1/2^3
1/8
b.
any number to the power of 0 is equal to one:
(5.5)^0
1
Hope this helps :)
445% as a decimal rounded to the thousands place
Answer:
4.45
Step-by-step explanation
Answer:
Step-by-step explanation:
445
First, we move the decimal 2 spaces which give us 4.45
4.45 rounded is 4.45 so that is our answer
(5 × 2) + (5 × 4) = 5 × (2 + 4)
Which picture represents this equation?
Answer:
They both equal 30, so if the question is are both equal the statement is true!
Note: I would appreciate if you give me 5 stars, a thanks, and brainiest :)
Which is a way to find the area of this rectangle?
4+3
6
Answer:
Height x Width (length x breadth)
Step-by-step explanation:
4X3=12
help meeee!!!!!! i suck at math
Answer:
Its easy
Step-by-step explanation:
Just think and ask teachers for help math is easy if your good at anything else in school , then math should be easy it have to do with all that.
A bird is 58 feet off the ground and spots a worm at a 32 degree angle of depression. What is the horizontal distance from the bird to the worm?
A. 42 feet
B. 112.1 feet
C. 68 feet
D. 92.8 feet
E. None of the above
What is the circumference of a circle with a diameter of 12 feet? (use 3.14 for pi)
36 ft.
36.26 ft.
37.68 ft.
38 ft.
PLLLLLLLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HEEEEEEEEEEEEEEELPPPPPPPPP
Answer:
37.68 ft.
Step-by-step explanation:
Answer: [tex]37.68ft[/tex]
Step-by-step explanation:
[tex]Formula: C=\pi d[/tex]
Replace
[tex]C=(3.14)(12ft)\\C=37.68ft[/tex]
Subtract 75 - 50.50 = ___ using mental math
Answer:
24.5
Step-by-step explanation:
First, I subtracted 50 from 75.
75 - 50 = 25
Then, subtract 0.5 from 25.
25 - 0.5 = 24.5
I hope this helps!
A right circular cylinder has a base radius of 6 centimeters and a height of 12 centimeters. What is the volume of this cylinder? A. 432cm B.450cm C.275cm D.360cm
Answer:
The volume of the cylinder is 432π
Step-by-step explanation:
Volume of a Cylinder is, πr²h where r = radius and h = height of the cylinder.
so, πr²h = π×6²×12 = 432π
Answered by GAUTHMATH
Answer:
A) 432
Step-by-step explanation:
20 points
3. Gas costs $2 per gallon Which graphs represents the relationship
between gallons (x) and cost (y)? *
The equation that shows the cost of x gallons of gas is given as y = 2x
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the cost of x gallons of gas. Gas costs $2 per gallon, hence:
y = 2x
The equation that shows the cost of x gallons of gas is given as y = 2x
Find out more on equation at: https://brainly.com/question/2972832
#SPJ2
The equation y = 23.67x + 13.12 fits the scatterplot of the values for stock
ABC over the past month with an r-value of 0.9957. How much do you think
ABC will be worth at x = 28 days?
A. 13.12
B. 23.67
C. 698.74
D. 675.88
Step-by-step explanation:
The given equation is y = 23.67x + 13.12, where y is the value of the stock ABC and x is the number of days. The r-value of 0.9957 indicates a strong positive correlation between the two variables, which suggests that the equation is a good fit for predicting the value of the stock.
To find the value of the stock ABC at x = 28 days, we need to substitute x = 28 into the equation and solve for y:
y = 23.67(28) + 13.12
y = 663.76 + 13.12
y = 676.88
Therefore, the predicted value of the stock ABC at x = 28 days is $676.88.
The closest answer option is D. 675.88, but the correct answer is actually slightly higher at $676.88.
We are given a linear equation y = 23.67x + 13.12, where 'x' is the number of days and 'y' is the stock value.
Now, we need to predict the stock value for 'x' equals to 28 days. To do so, we substitute x = 28 into the equation.
Start by multiplying the given value of x with the slope:
23.67 times 28 equals 662.76.
Next, add the y-intercept to the result from the first step. So you take 662.76 and you add 13.12.
The sum is 675.88.
So, according to our calculation, the ABC stock would be worth 675.88 on the 28th day.
So, the answer is
Answer: D. 675.88.
Witch is not a characteristic of an exponential parent function
Answer:
All exponential functions try to cross the x axis but never do
Step-by-step explanation:
A rectangle made of square tiles measures 10 tiles long and 8 tiles wide. what is the width of a similar rectangle whose length is 15 tiles?
Answer:
12 or 13
hope this helps
Answer:
13
Step-by-step explanation:
Explain the steps necessary to convert a quadratic function in standard form to vertex form.
plz I need help!!!!!!!!!
Answer:
To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square. Let's see an example. Convert y = 2x2 - 4x + 5 into vertex form, and state the vertex. I had this question and got it right. Have a great day
Step-by-step explanation:
The cost of 5 pairs of shoes is $108.36. What is the unit rate for cost per
pair?
Answer: 21.67 and full Answer is 21.6732
Step-by-step explanation: $108.36 divide by 5!
what is the solution to the system of equations below?
{2y=x+6
{3x=y+7
Answer:
x=4, y=5
Step-by-step explanation:
2y=x+6
3x=y+7
If you subtract 6 from both sides of the first equation, x will be isolated and you can plug it into the second equation. The new first equation is 2y-6=x, which when plugged into the second equation yields:
3(2y-6)=y+7
6y-18=y+7
5y=25
y=5
x=4
Hope this helps!
Final answer:
To solve the given system of linear equations, we use substitution to express x in terms of y from one equation and substitute it into the other, giving us the solution x = 4, y = 5.
Explanation:
The solution to a system of linear equations can be found by various methods, including substitution or elimination. The given system, which appears to be:
2y = x + 63x = y + 7This can be solved by using these methods. First, we will express one variable in terms of the other from one of the equcations and then substitute this into the second equation. Taking the first equation:
2y = x + 6
we can solve for x:
x = 2y - 6
Now, we substitute x in the second equation:
3(2y - 6) = y + 7
This simplifies to:
6y - 18 = y + 7
Now, let's solve for y by isolating it on one side:
6y - y = 7 + 18
5y = 25
y = 5
With the value of y, we can now substitute back into the equation x = 2y - 6 to find x:
x = 2(5) - 6
x = 10 - 6
x = 4
Therefore, the solution to the system of equations is x = 4, y = 5.
The five longest winning streaks for NCAA Men's Division I Basketball are listed below. Which graph would best represent the data?
A a double bar graph
B a histogram
C a bar graph
D a circle graph
Answer:
Bar graph
Step-by-step explanation:
Evaluate 19 - 11 + (-17) + (-19) + 11
Answer:
The answer would be -17
Step-by-step explanation:
On evaluation of 19 - 11 + (-17) + (-19) + 11 will result in -17
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Using the concept that
+ - = -
On opening the brackets,
19 -11 + -17 + - 19 + 11=19-11-17-19+11
=19-19-17-11+11
=-17
Thus, 19 - 11 + (-17) + (-19) + 11 can be evaluated as -17
Learn more about mathematical operation, here:
https://brainly.com/question/20628271
#SPJ6
Question 7
3 pts
(02.03 MC)
Which of the following statements is most likely correct about a rock found in Europe and a
rock found in America, both having the same kinds of fossils?
The rocks are the same age.
They are different types of rocks.
The mineral composition of the rocks is identical.
They were exposed to the same agents of weathering
Answer:
They were exposed to the same agents of weathering
Write an equation in which the quadratic expression 4x^2-26x+42 equals 0. Must show all work to receive credit.
Show the expression in factored form
Explain what your solutions mean for the equation in complete sentences.
HIGH POINT AND BRAIN LIST
Answer:
(a) (x + 3)(2x + 7) = 0
(b) These solutions mean that for these two x values, f(x) is equal to 0. It's also where the graph of f(x) crosses the x-axis.
Step-by-step explanation:
(a) We set 4x² -26x + 42 equal to 0:
4x² -26x + 42 = 0
Let's divide both sides by 2 to simplify this a bit:
2x² - 13x + 21 = 0
Now, we need factors a and b of 2 and c and d of 21 such that ac + bd = -13. The factors of 2 are: 1 and 2, so let's say a = 1 and b = 2. The factors of 21 are: (1, 21), (3, 7), (-1, -21), and (-3, -7). We see that if c = -7 and d = -3, this works:
ac + bd = 1 * (-7) + 2 * (-3) = -7 - 6 = -13
So, the factored form is:
(x - (-3))(2x - (-7)) = 0
(x + 3)(2x + 7) = 0
(b) So now we need to solve this. Set each of the two parenthetical expressions equal to 0:
x + 3 = 0
x = -3
AND
2x + 7 = 0
x = -7/2
These solutions mean that for these two x values, f(x) is equal to 0. It's also where the graph of f(x) crosses the x-axis.
Answer:
a) 2(x - 3)(2x - 7) = 0
b) function is 0 when x = 3 or 7/2
Step-by-step explanation:
4x² - 26x + 42 = 0
2(2x² - 13x + 21) = 0
2[2x² - 6x - 7x + 21] = 0
2[2x(x - 3) - 7(x - 3)] = 0
2(x - 3)(2x - 7) = 0
Solutions:.
x = 3, 7/2
Solve 3z divided by 2=9
Answer:
z=6
Step-by-step explanation:
3z/2=9
3x6=18/2=9
Mr. Sam took 1 h 15 minute drive from his home to his office.if the distance between his home and office was 50 miles, at what average speed did Mr. Sam drive?
Find the circumference of a circle of 1 1/2 inches.
Answer:
The circumference of a circle with radius length of 1 1/2 units is:
6.2832 units.
Step-by-step explanation:
Answer:
[tex]9.42[/tex]
Step-by-step explanation:
I used the equation [tex]C=2[/tex]π[tex]r[/tex]. I hope I could help you :))
What is the shape of the graph of the function?
h(x) =2.05*3^x
Answer: A
Step-by-step explanation:
SOMEONE PLEASE HELPP!!
Answer:
Only the x-value changes.
Step-by-step explanation:
When a point is reflected over the y-axis, it is the x-axis number that will flip it's sign.
When a point is reflected over the x-axis, it is the y-axis number that will flip it's sign.
~
Jordana is putting a fence around a garden that is shaped like a half circle and a rectangle. A rectangle with length 28 feet and width 14 feet. A semicircle with diameter 14 feet is on top of the rectangle. How much fencing will Jordana need? Use StartFraction 22 over 7 EndFraction for Pi. 64 ft 86 ft 92 ft 114 ft
Answer: Jordana will need 92 feet of fencing
Step-by-step explanation:
Given: Length of rectangle = 28 feet
Width of rectangle = 14 feet
Diameter of semicircle = 14 feet
Therefore radius of semicircle : r = [tex]\dfrac{Diamater}{2} =\dfrac{AB}{2} =\dfrac{14}{2} =7 \text { feet }[/tex]
Now we have to find the perimeter of attached figure for putting fence around a garden
[tex]Perimeter = 2 Length +Width + \text {Circumference of semicircle }\\\\\Rightarrow Perimeter = 2\times AD+DC + \pi r\\\\\Rightarrow Perimeter = 2\times 28+14 +\dfrac{22}{7} \times 7 \\\\\Rightarrow Perimeter = 56+14+22 = 92 \text {feet}[/tex]
Hence, jordana will need 92 feet of fencing
Answer:
the answer is 92 (or C)
Step-by-step explanation:
I did the review
Find the area of the regular polygon with the given apothem a and side length s.
octagon, a=66.4 in, S =55 in
Answer:
Area is 14608in²
Step-by-step explanation:
this problem is based on mensuration of flat shapes, polygon
Octagon number of sides n= 8
The expression for the area of polygon given apothem and side
Is
Area= (n*s*a)/2
Given n= 8
s= 55in
a= 66.4in
Substituting our given data we have
Area = (8*55*66.4)/2
Area = 29216/2
Area = 14608in²
The area of the regular octagon is [tex]\( 14608 \)[/tex] square inches.
The area of a regular polygon can be calculated using the formula:
[tex]\[ A = \frac{1}{2} \times a \times p \][/tex]
where [tex]\( A \)[/tex] is the area, [tex]\( a \)[/tex] is the apothem, and [tex]\( p \)[/tex] is the perimeter of the polygon.
For a regular octagon, the perimeter [tex]\( p \)[/tex] is given by:
[tex]\[ p = n \times s \][/tex]
where [tex]\( n \)[/tex] is the number of sides and [tex]\( s \)[/tex] is the length of one side. Since an octagon has 8 sides:
[tex]\[ p = 8 \times s \][/tex]
Given that [tex]\( s = 55 \)[/tex] in, we can calculate the perimeter:
[tex]\[ p = 8 \times 55 \text{ in} = 440 \text{ in} \][/tex]
Now, we can calculate the area of the regular octagon with the given apothem [tex]\( a = 66.4 \)[/tex] in and side length [tex]\( s = 55 \)[/tex] in:
[tex]\[ A = \frac{1}{2} \times a \times p \][/tex]
[tex]\[ A = \frac{1}{2} \times 66.4 \text{ in} \times 440 \text{ in} \][/tex]
[tex]\[ A = 33.2 \text{ in} \times 440 \text{ in} \][/tex]
[tex]\[ A = 14608 \text{ in}^2 \][/tex]
Abdul returned home from school on the school bus. The bus traveled 9 km north
and then 12 km west. How far is Abdul's house from the school? Round to the
nearest whole number. (PLEASE SHOW WORK)
Answer:
15 km
Step-by-step explanation:
The formula to find the hypotenuse of a right triangle
Is the square root of [tex]a^{2} +b^{2}[/tex]
a and b represent the side lengths so just plug in the side lengths for a and b
it doesn't matter which side you make a or b
square a and b
square root of 144+81
add them
[tex]\sqrt{225}[/tex]
solve
15
add your units and you're done
15 km