The perimeter and area of the original are 20 ft and 23.5 square ft and the enlarged figure are50 ft and 146.875 square ft.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The figure is the combination of a triangle and a square.
The area of the original (A₀) figure will be
[tex]\rm A_o = \dfrac{1}{2} \times 3 \times 5 + 4 \times 4\\\\A_o = 23.5 \ ft^2[/tex]
The perimeter of the original figure (P₀) will be
[tex]\rm P_o = 3 + 5 + 4 + 4 + 4\\\\P_o = 20 \ ft[/tex]
The scale factor is 2.5.
Then the dimension of the triangle will be
h = 2.5 × 3 = 7.5 ft
b = 2.5 × 5 = 12.5 ft
Then the dimension of the square will be
a = 2.5 × 4
a = 10 ft
The area of the new figure will be
[tex]\rm A = \dfrac{1}{2} \times 7.5\times 12.5 + 10*10\\\\ A = 146.875 \ ft^2[/tex]
The perimeter of the new figure will be
[tex]\rm P= 7.5 + 12.5 + 10+ 10+ 10\\\\P = 50 \ ft[/tex]
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Answer:
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.
Solve this proportion:
Answer:
4
Step-by-step explanation:
14 is 2/3 of 21
6 x 2/3
4
could i get help pleaseeeee
aboustouly tell me ur problem
Sarah has 4 shirts, 2 pairs of jeans and 3
pairs of shoes. How many different outfits
can Sarah put together?
Answer:
24
Step-by-step explanation:
4 times 2 times 3
4(2)=8
8(3)+24
Answer:
20: But here is how.
Logically. <Which as you practice means you won’t have to write anything for this type of problem =) >
“Every shirt could come with any one of the pants.” (notation: sn is shirt number n)
s1 with 4 pants, so 4 outfits
s2 with 4 pants, so 4 outfits
s3 with 4 pants, so 4 outfits
s4 with 4 pants, so 4 outfits
s5 with 4 pants, so 4 outfits
Total of 5×4
help me please please
Find the probability of each event
A fair coin is flipped ten times. What is
the probability of the coin landing tails up
at least nine times?
Answer:
11/1024.
Step-by-step explanation:
Binomial Probability distribution.
This is the probability of 9 tails or 10 tails being flipped.
Prob ( 10 tails) = (1/2)^10 = 1/1024
Prob ( 9 tails) = 10C9 * 1/2^9* 1/2 = 5/512
Required probability = 1/1024 + 5/512
= 11/1024.
Can someone help me on this i am stuck on it thanks
Answer:
36
Step-by-step explanation:
Given:
A kitchen shop sells bowls in sizes small, medium and large.Draw a Venn diagram with 3 intersecting circles. Label each circle:
S = small bowlsM = medium bowlsL = large bowls----------------------------------------------------------------------------------------------
Given:
5 people bought all three sizes of bowl.Enter "5" in the central overlapping section of the Venn diagram.
----------------------------------------------------------------------------------------------
Given:
7 people bought a small bowl and a large bowl.We know that 5 people bought all 3 bowls, so to find the number who bought a small and large bowl (but not a medium bowl):
⇒ 7 - 5 = 2
Enter "2" in the section S and L but not M.
----------------------------------------------------------------------------------------------
Given:
In total, 27 people bought a small bowl, of which 12 also bought a medium bowl.First, calculate the number of people who bought only a small and medium bowl (but not a large bowl). We know that 5 people bought all 3 bowls, so subtract 5 from 12.
Enter "7" in the section S and M but not L
A total of 27 people bought a small bowl, so to find the number who bought a small bowl only (not a medium and/or large bowl), subtract the other found numbers from 27:
⇒ 27 - 5 - 2- 7 = 13
Enter "13" in the S only section.
----------------------------------------------------------------------------------------------
Given:
In total, 66 people bought a medium bowl, of which 15 also bought a large bowl.First, calculate the number of people who bought only a large and medium bowl (but not a small bowl). We know that 5 people bought all 3 bowls, so subtract 5 from 15.
Enter "10" in the section M and L but not S
A total of 66 people bought a medium bowl, so to find the number who bought a medium bowl only, subtract the other found numbers:
⇒ 66 - 5 - 7 - 10 = 44
Enter "44" in the M only section.
----------------------------------------------------------------------------------------------
Given:
On a given day, 100 people each bought at least one bowl from the shop.To find "L only" subtract all the known numbers from 100:
⇒ 100 - 5 - 2 - 7 - 13 - 10 - 44 = 19
Enter "19" into the L only section.
----------------------------------------------------------------------------------------------
Finally, to work out the total number of people that bought a large bowl, add up the numbers in the L circle:
⇒ 2 + 5 + 10 + 19 = 36
David needs to choose a tie for a wedding. He has 4 solid color ties, 5
striped ties, and 3 cartoon ties. If his wife picks a tie for him at random,
what of the following is the probability that she will NOT choose a solid
color tie?
elect one:
The probability of not choosing the solid color tie by David's Wife will
be [tex]\frac{2}{3}[/tex].
What is Probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Number of solid Color ties= 4Number of cartoon ties= 3Number of stripped ties= 5
Total Number of ties= 4+3+5 =12
Probability of not choosing the solid color tie
=[tex]\frac{Total\; ties- \; Number\; of \;Solid\; ties}{Total\; number \;of \;ties}[/tex]
=[tex]\frac{12-4}{12}[/tex]
= [tex]\frac{8}{12}[/tex]
=[tex]\frac{2}{3}[/tex]
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g/6 = 8 what does g equals do
Answer:
g = 48
Step-by-step explanation:
Step 1: Multiply both sides by 6.
g6=8
(g6)*(6)=(8)*(6)
g=48
What’s a 1/3 as a whole number
Answer:
a repeating term of .3
Step-by-step explanation:
1/3 = 1 divided by 3
1 divided by 3 = .33333333333333333333
that is called a repeating term
[tex]\frac{1}{3}[/tex] = .3
Answer: 1/3 is .3333333 on going
it cant be a whole number
The volume of this cone is 602.88 cubic inches. What is the radius of this cone?
Use a = 3.14 and round your answer to the nearest hundredth.
9 in
r
inches
Answer:
8
Step-by-step explanation:
Volume of a cone formula: V = [tex]\pi r^{2} \frac{h}{3}[/tex]
where,
h is the height 9 in (assuming)
r is the radius want
v is the volume 602.88 cubic inches
[tex]\pi[/tex] is a = 3.14
Plug in everything:
[tex]602.88 = 3.14r^{2} (\frac{9}{3} )\\602.88 = 3.14r^{2} (3)\\1808.64 = 28.26r^{2}\\\frac{1808.64}{28.26} = \frac{28.26r^{2}}{28.26} \\r^{2} = 64\\r = \sqrt{64} \\r = 8\\or\\r =-8[/tex]
the price of an item has been reduced by 20%. the origianal price was 76
Answer:
$60.8
Step-by-step explanation:
Twenty percent of 76 is,
→ 20% of 76
→ (20/100) × 76
→ 1520/100
→ [ $15.2 ]
The reduced price of the item is,
→ 76 - 15.2
→ [ $60.8 ]
Hence, the price is $60.8.
a 3. A card is pulled from a standard deck of cards.
Can you find P(queen or hearts)? (make sure you aren't double counting!!!)l
Explanation:
There are 13 hearts, including the queen of hearts. Then there are 3 more queens to get us to 13+3 = 16 cards we're after.
There are 16 cards we want out of 52 total, so the probability is 16/52 = (4*4)/(4*13) = 4/13
What kind of shape is this ?
Answer:
prism
Step-by-step explanation:
when all the sides are joined, it will reveal the shape to become a prism.
PLEASEEE HELPPPP ASAP IM LOSING MY MIND RN
Answer:
Option 4 (D)
Step-by-step explanation
Text book Formula !
35% of salt is in feta cheese. What percentage of salt is in that 350 g cheese?
The amount of salt is in the 350 g of feta cheese, when there is 35% of salt is in cheese, is 122.5 grams.
What is percentage of a number?Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.
35% of salt is in feta cheese. The percentage of salt is in that 350 g cheese has to be found out.
Let suppose there is x grams of slat in feta cheese of 350 g. Thus, the amount of salt (35% of 350) is,
[tex]x=\dfrac{35}{100}\times350\\x=122.5\rm\; gm[/tex]
Thus, the amount of salt is in the 350 g of feta cheese, when there is 35% of salt is in cheese, is 122.5 grams.
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Which expression is equivalent to 5 sqrt 32x5y10z15?
The expression equivalent to 5 sqrt 32x5y10z15 is 2xy2z3
Find the value of x in each triangle. . X= 60° 60° x°
Answer:
60 degrees
Step-by-step explanation:
Triangle = 180 degrees
60+60+X=180
120+X=180
X=60
A grocery store usually orders 1500
frozen dinners every week. They have
been selling out and have decided they
need to order 2100 each week to keep
up with demand. What is the percent
increase?
Answer:
40%
Step-by-step explanation:
The concept of percent increase is basically the amount of increase from the original number to the final number in terms of 100 parts of the original. An increase of 5 percent would indicate that, if you split the original value into 100 parts, that value has increased by an additional 5 parts. So if the original value increased by 14 percent, the value would increase by 14 for every 100 units, 28 by every 200 units and so on. To make this even more clear, we will get into an example using the percent increase formula in the next section.
Answer:40&!!!!!!
Step-by-step explanation:40%!!!!!!!
The Simpsons rented a trailer that was 8 feet long and 5 feet wide. If they load the trailer with 1-by-1-by-1-foot boxes to a height of 3 feet, how many boxes can be loaded onto the trailer?
The total number of boxes that can be loaded onto the trailer is 27.
Here we have to determine the maximum number of boxes.
That can be stored in a locker by the volume of one box.
From the given information volume of the box is Vb and the volume f the locker is Vl.
What is the volume of the box?
[tex]Volume=Length\times width\times height[/tex]
Therefore we get,
[tex]V_b=4\times3\times2\\V_b=24ft^3[/tex]
The volume of the locker is
[tex]V_L=12\times6\times 9\\V_L=684ft^3[/tex]
Therefore the number of the maximum boxes are
[tex]\frac{VL}{V_b} =\frac{648}{24} \\=27[/tex]
Therefore, The total number of boxes can be loaded onto the trailer are 27.
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State the degree and dominant term of this polynomial
function. (2 marks)[tex]f(x)=2x(x-3)^3(x+1)(4x-2)[/tex]
The degree of the polynomial f(x) = 2x(x - 3)³(x + 1)(4x - 2) is 6, and the dominant term is - 216x²
The degree of the polynomial?The polynomial function is given as:
f(x) = 2x(x - 3)³(x + 1)(4x - 2)
To determine the degree, we simply add the multiplicities.
So, we have:
Degree = 1 + 3 + 1 + 1
Evaluate
Degree = 6
Hence, the degree of the polynomial is 6
The dominant term of the polynomialWe have:
f(x) = 2x(x - 3)³(x + 1)(4x - 2)
Expand
f(x) = 8x⁶ - 68x⁵ + 176x⁴ - 72x³ - 216x² + 108x
The term with the highest absolute value is - 216x²
Hence, the dominant term is - 216x²
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The nth term of a sequence is 3(n + 2).
What are the first four terms?
What is the 20th term?
th
Which is the first term to be larger than 100?
Answer:
3 ( n + 2 )
3 x n = 3n
3 x 2 = 6
3n + 6 = 9n
Step-by-step explanation:
Elena drops her pencil in her cup and notices that it just fits diagonally. the pencil is 17cm long and the cup is 15cm tall. what is the diameter of the cup
Hence the answer is 480ml
Step-by-step explanation:
Given Elena wonders how much water it will take to fill her cup. She drops her pencil in the cup and notice it just fit diagonally. The pencil is 17cm long (hypotenes) and the cup is 15cm tall.
To find how much water it can hold
SOLUTION
s
[tex] \sqrt{x {} ^{ 2} + x {}^{2} + 15 {}^{2} = 17 } [/tex]
[tex]2x {}^{2} = 64[/tex]
[tex]x {}^{2} = 32[/tex]
[tex]x = 5.66[/tex]
therefore volume of the cup
[tex]5.66 \times 5.66 \times 15cm| [/tex]
480cm³= 480ml
square root of 3 diveded by the square root of 2
Answer:
1.2 or if you round it is 1
Answer:
1.224744871 or (square root of 6)/2
Step-by-step explanation:
An employee of a store's gift wrapping center is wrapping 8 gifts
same size box. The dimensions of the box are shown to the right
A Find the volume of the box to see how much space is available to place
packages. Show your work
B. How much wrapping paper is needed to wrap ONE box? Show your
work
If there is only 160 square feet of wrapping paper left, will the employee
be able to wrap all of the gifts? Explain.
The area A of a rectangle is A = bh, where b is the base of the rectangle and h is the height. The area of each rectangle with side lengths 1.5 ft and 2 ft is 1.5 × 2 = 3ft2. Since there are two rectangles with these dimensions, the combined area is 2 × 3 = 6 ft2. The area of each rectangle with side lengths 1.5 ft and 2.5 ft is 1.5 × 2.5 = 3.75 ft2. The area of each rectangle with side lengths 2 ft and 2.5 ft is 2 × 2.5 = 5 ft2. Since there are two rectangles of each type, the combined area is 2 × 3.75 + 2 × 5 =17.5 ft2. So, the total surface area of the box is 6 ft2+ 17.5 ft2 = 23.5 ft2
Part B:
The employee needs to wrap 8 boxes, each with a surface area of 23.5 ft2. So, the combined surface area needing to be wrapped is 8 × 23.5 = 188 ft2. Since there is only 160 square feet of wrapping paper left, the employee will not be able to wrap all of the gifts
4 + 7 + 9 + 5 - 44? pls HELPPPPP!!!!!!!!!!!!!!!
Answer:
-19.
Step-by-step explanation:
4 + 7 + 9 + 5 - 44
Doing the adds first;
= 25 - 44
= -19.
please help will give brainliest and fifty points
Refer to the table above. Determine the marginal distribution of Gender. In paragraph form, how you calculated the marginal distribution. Include your calculations in your explanation.
The likelihood of an occurrence regardless of the result of another variable is known as marginal probability.
What is marginal probability?The likelihood of an occurrence regardless of the result of another variable is known as marginal probability. The likelihood of one event occurring in the presence of another is known as conditional probability.
We already know that marginal probabilities are calculated by dividing marginal frequencies by total frequency.
As a result, in this situation, the gender's marginal probability distribution is given by,
P(Gender=x) ≈ 0.5308 if x = Male
≈ 0.4692(1-0.5308) if x = female
= 0 otherwise
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If the right triangle's dimensions are enlarged by 3 units, the new height would be *blank* units. Just write the numerical answer.
Answer
5
Step-by-step explanation:
there are already 2 units in height therefore 2 plus 3 is 5
Write down a number that has the same value as:
1-13.51
Answer:
The answer would have to be 5 but im not sure cause there are no answer choices.
Step-by-step explanation:
2. Three times some number, decreased by five is no less than 16.
Written as a inequality, what will it be?
Answer:
Read explanation
Step-by-step explanation:
The equation is written as: [tex]3x-5\geq 16[/tex]
You can make it a 2 step equation.
[tex]3x-5\geq 16\\[/tex]
16+5=21
[tex]3x\geq 21[/tex]
21/3
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
3 times some number decreased by 5 is no less than 16.
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
3n-5≥16
[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]
First, notice it says "no less than 16"
So the expression can't be less than 16, so it's greater than or equal to 16.
Now, let the number be n.
Multiply 3 times n:
3n
"Decreased by 5" means you subtract 5:-
3n-5
Inequality:- 3n-5≥15
Solve:
3n-5≥15
3n≥15+5
3n≥20
n≥20/3
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
TASK 3
Movie Theme
Find the area AND perimeter of each triangle.
CODE Type the numeral answer. NO LABELSI Use a comma and a space between
all your answers. Begin with part a area, permeter, part b area, perimeter
For example 30, 33, 24,17
The area will be equal to Area = (28)(21) / 2 = 294 square inches.
What is the area?To determine the area of a triangle, we calculate one half of the product of the base and the height of the triangle so we need data on its base and its height. We are given the following:
Hypotenuse = 7 + base = 14 + height
Perimeter = 84 inches
The perimeter of the triangle is equal to the sum of the three sides of the triangle which are the height, base and hypotenuse. So,
Perimeter = height + base + hypotenuse = 84
We let x = height and y = base. We calculate area as follows:
84 = x + y + (7 + y)
77 = x + 2y
x = 77 -2y
The Hypotenuse is related to the other sides by the Pythagorean theorem.
Hypotenuse^2 = (x^2 + y^2)
(14 + x)^2 = x^2 + y^2
(14 + (77-2y))^2 = (77-2y)^2 + y^2
(91-2y)^2 = (77-2y)^2 + y^2
Solving for y and x
y = 28
x = 21
Area = (28)(21) / 2 = 294 square inches
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