Answer:
89.14
Step-by-step explanation:
Use the scale factor to find the area of the enlarged figure. Explain your steps.
A small rectangle has a length of 8 and width of 4. A large rectangle has a length of 25.6 and width of a.
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Answer:
327.68 units^2
Step-by-step explanation:
The area of the small figure is ...
area = length · width
area = (8)(4) = 32 . . . . square units
The scale factor is ...
scale factor = large length / small length = 25.6/8 = 3.2
The area of the larger rectangle will be the small rectangle area multiplied by the square of the scale factor:
(32 units^2)(3.2^2) = 327.68 units^2
_____
Additional comment
We note the width is half the length, so we could figure the larger rectangle's width at 25.6/2 = 12.8 units. Then its area would be
length · width = (25.6 units)(12.8 units) = 327.68 units^2
This seems easier to me, but is not the method required by the problem statement.
Answer:
The scale factor of the enlargement is 3.2. Square the scale factor to get 10.24. Find the area of the original figure, which is 32. Multiply 32 and 10.24 to get the area of the enlarged figure, which is 327.68.
Step-by-step explanation:
This is the sample response but I would use the other pearsons answer because it is NOT the sample response.
Have a great day!
Cole made a scale drawing of the elementary school. The scale he used was
1 centimeter : 2 meters. The school yard is 30 centimeters in the drawing. How wide is the
actual school yard?
Answer:
I think 60
Step-by-step explanation:
For questions 1 – 6, find the area of the circle to the nearest hundredth.
Any help appriciated!
Step-by-step explanation:
The area of a circle is given by :
A = πr²
r is the radius of the circle
(4) Diameter = 22 cm
Since, radius = diameter/2
r = 11 cm
Now, area of the circle,
[tex]A=\pi \times (11)^2\\\\A=380.13\ cm^2[/tex]
(5) Diameter = 30 cm
Since, radius = diameter/2
r = 15 cm
Now, area of the circle,
[tex]A=\pi \times (15)^2\\\\A=706.85\ cm^2[/tex]
(6) Diameter = 4cm
Since, radius = diameter/2
r = 2 cm
Now, area of the circle,
[tex]A=\pi \times (2)^2\\\\A=12.56\ cm^2[/tex]
So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.
-3p>-48 Solve the inequality
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Answer:
p < 16
Step-by-step explanation:
Dividing the inequality by a negative number will reverse the comparison.
-3p > -48
(-3p)/(-3) < (-48)/(-3) . . . . divide both sides by the coefficient of p
p < 16
_____
Alternate solution
Add 3p+48 to both sides.
-3p +(3p +48) > -48 +(3p +48)
48 > 3p
Divide both sides by 3; no reversal is necessary.
16 > p . . . . . same answer as above, without the comparison reversal
A carpenter is building a rectangular shed with a fixed perimeter of 54 ft. What are the dimensions of the largest shed that can be built? What is its area?
Answer:
the Largest shed dimension is 13.5 ft by 13.5 ft
Largest Area is 182.25 ft²
Step-by-step explanation:
Given that;
Perimeter = 54 ft
P = 2( L + B ) = 54ft
L + B = 54/2
L + B = 27 ft
B = 27 - L ------------Let this be equation 1
Area A = L × B
from equ 1, B = 27 - L
Area A = L × ( 27 - L)
A = 27L - L²
for Maxima or Minima
dA/dL = 0
27 - 2L = 0
27 = 2L
L = 13.5 ft
Now, d²A/dL² = -2 < 0
That is, area is maximum at L = 13.5 using second derivative test
B = 27 - L
we substitute vale of L
B = 27 - 13.5 = 13.5 ft
Therefore the Largest shed dimension = 13.5 ft by 13.5 ft
Largest Area = 13.5 × 13.5 = 182.25 ft²
Gabby plans to make 30 bracelets to sell at the state fair. How long will it take her?
Do not include units (hours) in your answer.
Answer:
45
Step-by-step explanation:
10 braslets is 15 hrs
30=10*3
3*15=45 hrs
Pls, help me with this problem. HELP!!!!! (it's not that hard I don't know why I am frecking out)
Answer:
Step-by-step explanation:
b/c fractions are confusing :D, put them all in 12th to make it easier
4/12, -8/12, -9/12, -5/12, 1 3/12, 1 5/12
now stick them in order
-9/12, -8/12, -5/12 , 4/12 , 1 3/12, 1 5/12
now put them back to reduced form
-3/4, -2/3, -5/12, 1/3 , 1 1/4, 1 5/12
:) better?
Enter the sum of numbers as a product of their GCF.
Print
45 +90
The sum of the numbers as a product of their GCF is
Answer:
4, 7 ,2
Step-by-step explanation:
the discount price of a hat is $24. whats the regular price
What is this slope of the liner function represented in the table -7 -1/7 1/7 7
Answer:
The answer is C and that idiot before me wasted a plot
Step-by-step explanation:
1) A store sold 350 bikes last year. This year, the store sold 272 bikes, what is the percent change in the
number of bikes sold last year to this year?
Answer: The percent change is?
Answer:
-22.3% or 22.3% less than the previous year
Step-by-step explanation:
350 - 272 = 78
78/350 = 22.3 to 3 significant figures
Someone please help me
Answer:
1. X: 0, -3
2. Y: 1, -1
3. Z: 4, -4
4. M: -4, 1
5. N: -2, 2
6. P: 2, 4
7. Q: 2, 0
8. R: -3, -1
Answer:
1. (0,-3)
2. (1,-1)
3. (4,-4)
4. (-4,1)
5. (-2,2)
6. (2,4)
7. (2,0)
8. (-3,-1)
9-17: first photo
18a: second photo
18b. A pentagon. When you connect the points, the shape has 5 sides
Step-by-step explanation:
Marcus can drive his boat 36 miles down the river in 3 hours but takes 4 hours to return upstream. Find the rate of the boat
in still water and the rate of the current.
Answer:
With river 12 miles per hour
Against river 9 miles per hour
wv = water velocity vsw = boat velocity in still water
vsw +wv = 12 mph
vsw -wv = 9 mph
2 * vsw = 21 mph
boat velocity in still water = 10.5
Since vsw + wv = 12 then
water velocity = 1.5 mph
Step-by-step explanation:
Answer:
speed in still water: 10.5 Current: 1.5
Step-by-step explanation:
A survey was distributed to 2.000 employees and 90 percent of these employees responded to the survey. Of the employees responding, 60 percent answered "yes" to a certain yes-no question and 72 employees did not answer that question. How many employees answered "no" to this question?
Answer:
720 employees
Step-by-step explanation:
Number of responded employees = 90% of 2000 employees = 1800 employees
Out of 1800 employees, if 60% answer yes, then the remaining 40% will answer "no". 72 employees did not respond to the survey.
Number of "no" answered employees = 40% of 1,800 employees = 720 employees( Answer)
On a recent survey, 60% of those surveyed indicated that they preferred taking a trip to the beach over a trip to the mountains. If 810 people preferred a trip to the mountains, how many preferred a trip to the beach?
Question 2 options:
1) 810
2) 1,215
3) 1,350
4) 2,025
Answer:
answer is 1350
Step-by-step explanation:
I have seen this question before.
m over 8 minus 5 equal 12
Answer:
m = 136
Step-by-step explanation:
m/8 - 5 = 12
1. Add 5 on both sides
m/8 - 5 + 5 = 12 + 5
m/8 = 17
Multiply 8 on both sides since u are trying to isolate the variable
m/8 * 8 = 17*8
m = 136
Check
136/8 - 5 = 12
17 - 5 = 12
12 = 12
Hope it helped!
Step-by-step explanation:
[tex]\frac{m}{8}[/tex] - 5 = 12 : Original Problem
[tex]\frac{m}{8}[/tex] -5 +5 = 12 + 5 : Bringing the constants to one side
[tex]\frac{m}{8}[/tex] = 17 : Simplification
[tex]\frac{m}{8}[/tex]×8 = 17×8: Isolating the variable
m = 136 : The answer!!!
Checking the answer
[tex]\frac{136}{8}[/tex] -5 = 12 : Substitution
[tex]\frac{136}{8}[/tex] = 17 : Bringing constants to one side and simplification
136 = 17 × 8 : Isolating the answer
136 = 136 : Success!!!
I hope this is what you wanted and I hope this helps!!!
I need help with my wirk
Answer:
50
Step-by-step explanation:
22 is 44% of 50. It's 50 because it's techincally half if you look at it. I don't know how to really explain that well. But the answer is 50, trust me.
The equation y = 3.5x represents the total cost y in dollars of buying x pounds of cheddar cheese at Art’s Deli. The graph below shows the total cost y in dollars of buying x pounds of cheddar cheese at Jon’s Deli. What conclusion can you draw about the cost of cheddar cheese at these delis? Cheddar cheese costs $4 more per pound at Jon’s Deli than Art’s Deli. Cheddar cheese costs $0.50 more per pound at Jon’s Deli than Art’s Deli. Cheddar cheese costs $3.50 less per pound at Art’s Deli than Jon’s Deli. You pay the same price per pound for cheddar cheese at both delis.
Step-by-step explanation:
i think its X=2.75
Which of the following shows two congruent triangles
Answer:
all of them
Step-by-step explanation:
all of them seem to have the same marks
but if u get the question wrong my next bet would be to go with only C because it has the marks on the sides if that makes sense
convert 60mph to feet per minute
k/2+9 =30
k=24
k=42
k=7
k=15
Answer:
K=42
Step-by-step explanation:
If this is correct pls mark me brainliest I only need 2 more until I can level up
Answer:
K=42
Step-by-step explanation:
Graph the function.
f(x)=−1/5x+4
Use the Line tool and select two points to graph.
Answer:
The coordinates are: (1,3.8), (2,3.6)
Now, plotting these points on graph as shown in figure.
Step-by-step explanation:
We need to graph the function: [tex]f(x)=-\frac{1}{5}x+4[/tex]
For drawing the graph, we need x and y coordinateness.
The can be found as following:
If we put x =1 in the given function, we will get:
[tex]f(x)=-\frac{1}{5}x+4\\Put\:x=1\\f(x)=-\frac{1}{5}(1)+4\\f(x)=-\frac{1}{5}+4\\f(x)=\frac{-1+4*5}{5}\\f(x)=\frac{-1+20}{5}\\f(x)=\frac{19}{5}\\f(x)=3.8[/tex]
So, we get when x =1 f(x) or y = 3.8
Now for finding second point, we put x =2 in the given function
[tex]f(x)=-\frac{1}{5}x+4\\Put\:x=2\\f(x)=-\frac{1}{5}(2)+4\\f(x)=-\frac{2}{5}+4\\f(x)=\frac{-2+4*5}{5}\\f(x)=\frac{-2+20}{5}\\f(x)=\frac{18}{5}\\f(x)=3.6[/tex]
So, we get when x =2 f(x) or y = 3.6
The coordinates are: (1,3.8), (2,3.6)
Now, plotting these points on graph as shown in figure.
You find 1 on x-axis and 3.8 on y-axis for first point (1,3.8)
Similarly You find 2 on x-axis and 3.6 on y-axis for second point (2,3.6)
The sum of three angle measures in a triangle is always 180°.
Answer:
YES IT IS RIGHT.......!
what is 3 times 3???
Answer:
9
Step-by-step explanation:
3×3=9
3+3+3=9
Yeeeeejsndnnsjx
Write the equation of an ellipse with the following characteristics: center =(1,-3) vertices=(-6,-3),(8,-3)
Foci =(-4.7,-3),(6.7,-3)
Answer:
(x-1)²/49 + (y+3)²/16.51 = 1
Step-by-step explanation:
vertex (8,-3) Foci (6.7,-3) center (h,k) = (1,-3) , major axis parallel to x axis
a is the distance of the vertex from the center, and c is the distance of the foci from the center. b is semi-minor axis
b² = a² - c² Ellipse equation: (x-h)²/a² + (y-k)²/b² = 1
a = 8-1 = 7 c = 6.7 - 1 = 5.7
b² = 7² - 5.7² = 16.51
Ellipse equation: (x-1)²/49 + (y- -3)²/16.51 = 1 i.e. (x-1)²/49 + (y+3)²/16.51 = 1
johnathan is rolling 2 dice and needs to roll an 11 to win the game he is playing.what is the probability that johnathan wins the game?
Answer: Hope this helps, I think I did the right math if not I'm sorry
2/6 x 1/6 = 1/18
Step-by-step explanation:
1.9t-5 simplify using commutative property
Pls help lolll
Answer:
There is nothing to be further simplified. It is how you wrote it. Let me know if it was a mistake I'll edit my answer.
Step-by-step explanation:
Which function is represented by the graph?
Answer:
f(x) = -2|x| + 1 aka the first option
Step-by-step explanation:
What do you do to convert 0.02083 to 75 mph?
Answer: 120.7008 Kilometers per Hour
Germany, Italy, and Japan formed the Tripartite Pact in part because they:
Answer:
hoped to convince the United States to stay out of World War II
Explanation:
just took the quiz :)
Answer:
Wanted to support one another in conquering Europe and Asia
Step-by-step explanation:
