The perimeter of the enlarged rectangle is 32 ft and the width of the larger rectangle is 3.6 ft.
What is perimeter of plane?The measure of the boundary of a plane or shape is called its perimeter. The perimeter of a plane or shape is the sum of all the sides.
A small rectangle has a length of 6.2 feet and width of 1.8 feet. The parameter of this triangle is,
[tex]P_s=6.2+1.8\\P_s=8\rm\; ft[/tex]
The small rectangle has a length of 6.2 and the larger rectangle has a length of 12.4 feet. Thus the scale factor of enlargement is,
[tex]r=\dfrac{12.4}{6.2}\\r=2[/tex]
The perimeter of the original rectangle is 16 feet and scale factor is 2. Thus, the perimeter of the enlarged rectangle is,
[tex]P_l=2\times16\\P_l=32\rm\; ft[/tex]
The small rectangle has width of 1.8 feet and scale factor is 2. Thus, the width of the larger rectangle is,
[tex]w_l=1.8\times2\\w_1=3.6\rm\; ft[/tex]
Hence, the perimeter of the enlarged rectangle is 32 ft and the width of the larger rectangle is 3.6 ft.
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Fill in the table and graph the parametric equation
Answer:
Shown above
Step-by-step explanation:
Sorry for my untidy handwriting
Katie took a plane to visit her grandparents for the summer. at the airport, she paid to check 3 bags. since all of her bags were over the weight limit, she had to pay an additional $6 fee for each bag. katie paid a total of $102 to check her bags.
which equation can you use to find the amount of money, x, it costs to check a bag that's under the weight limit?
Answer:
it costs $26 to check a bag that's under the weight limit
Step-by-step explanation:
she had to pay an additional $6 fee for each of the 3 bags.($18 in total)
x= each bag
3x +18 = 102
3x=84
x=26
Answer:It costs $28 for a bag that is under the weight limit.
Step-by-step explanation:
3(x+6) = 102
3x+ 18 = 1023x+18=102
3x = 843x=84
x = 28x=28
Complete Steps 1 - 2 in order. Triangle ABC has an area of 25 square feet and a perimeter of 5 65.5 feet. AABC is dilated by a factor of to create 2 ADEE. X 10.
Answer:
163.75
Step-by-step explanation:
a scale factor applies normally to lengths (one-dimensional sizes).
and the perimeter is calculated just by lengths (the side lengths).
so, we can apply the scaling factor directly to the perimeter.
perimeter of DEF = 5/2 × perimeter of ABC = 5/2 × 65.5 =
= 163.75 ft
what was step 1 ? we did not need it ?
Please assist. No links or your account is getting banned
9⁻³ / 9¹² = 9⁻³⁻¹² = 9⁻¹⁵
Answer:
[tex]9^-^1^5[/tex]
Step-by-step explanation:
[tex]\frac{9^{-3}}{9^{12}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]
[tex]=9^{-3-12}[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:-3-12=-15[/tex]
[tex]=9^{-15}[/tex]
Answer [tex]=9^{-15}[/tex]
~Learn with Lenvy~
HELP HELP HELP HELO HELP HELP HELP
This function is Exponential
Reason: Exponential graphs tend to get very big quickly, and though they start out smaller than polynomial functions or vice versa
Hope that helps!
You invest $600 in an account that has a annual interest rate of 7%, compounded quarterly for four years. What is the equivalent interest rate, and how many times will the money be compounded?
1.75% and 1 time
5.7% and 4 times
1.75% and 16 times
5.7% and 16 times
Answer:
1.75% and 16 times
Step-by-step explanation:
Compound interest formula:
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = initial principal balancer = annual interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periodsGiven:
P = $600r = 7% = 0.07n = 4t = 4Substituting given values into the formula:
[tex]\sf \implies A=600(1+\frac{0.07}{4})^{4 \times4}[/tex]
[tex]\sf =791.9576107...[/tex]
Equivalent interest rate:
[tex]\sf \implies \dfrac{r}{n}= \dfrac{0.07}{4}=0.0175=1.75 \%[/tex]
Number of times compounded:
[tex]\sf \implies nt=4 \times 4=16[/tex]
A candy bar box is in the shape of a triangular prism. The volume of the box is 2,400 cubic centimeters.
A triangular prism is shown with base of triangle labeled 16 cm, sides of triangles labeled 17 cm, and length of the box equal to 20 cm.
Part A: What is the height of the base? Show your work. (5 points)
Part B: What is the approximate amount of cardboard used to make the candy box? Explain how you got your answer. (5 points)
Answer: the answer is 1000cm2.
The volume of a triangular prism shaped box is 2,400 cubic centimeters.
Base of the triangle = 16cm
Sides of the triangle = 17cm
Length of the box = 20cm
Triangular prismA triangular prism is a three-sided prism made of a triangular base and a corresponding side.
A. To find the height of the base = 3 x the volume divided by the base area = 15cm. B. The approximate amount of card board used to make the candy box:Using the lateral prism as the sides will be:Lateral area = Perimeter of triangle X height of the prism
Lateral area = (16 + 17 + 17) X 20
Lateral area = 50 X 20
Lateral area = 1,000 cm2
Therefore, the answer is 1000cm2.
What is the distance between B and C? The Graph Below.
Answer:
250cm
Step-by-step explanation:
Answer:
433.01m.
Step-by-step explanation:
SOHCAHTOA
cos60= a/500
500cos60=a
433.01m
What is the best first step in solving the equation 3 +[tex]3\sqrt[6]{x}[/tex] = 5?
[tex]3+3\sqrt[6]{x}~~ = ~~5\implies \stackrel{\textit{1st step,-3 to both sides}}{3\sqrt[6]{x}~~ = ~~2}\implies \sqrt[6]{x}=\cfrac{2}{3} \\\\\\ (\sqrt[6]{x})^6=\left( \cfrac{2}{3} \right)^6\implies x=\cfrac{2^6}{3^6}\implies x=\cfrac{64}{729}[/tex]
What is 125x to the 3rd power +343y to the 3rd power
Answer: 125 to the power of 3 = 1253 = 1,953,125
Rq I’ll brainlist.
Simplify 4kp x k ???
Hello!
We have
4kp×k
Multiply 4 times k times k times p:
4k²p
k² = k times k (k times itself)
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
[tex]\boxed{An~Emotional~Helper~here~}[/tex]
3x2 + 6x = 12 (using quadratic formula)
I need some help with these math questions.
Answer:
For the first question, D is the correct answer.
For the second question, B is the correct answer.
Step-by-step explanation:
First question:
[tex]5.89 + .61(30) = 24.19[/tex]
[tex]5.89 + .61(35) = 27.24[/tex]
So D is the correct answer.
Second question:
A function is a relation in which each element in the domain corresponds to one and only one element in the range. That said, relations A, C, and D are not functions since in each of these relations, one element in the domain corresponds to two elements in the range. Only relation B is a function.
State the domain and range and determine if it's a function?
if we do a vertical line test on that graph, we'll find that a vertical line will pass by and hit the line only once on its way down, only once meaning the graph is the graph of a function.
Rangewell, is really how high and low it goes or namely over the y-axis.
well, it goes up up up to 3 then U-turns and back down it goes, now the graph has arrowheads, meaning the graph keeps on going towards infinity, vertically as well as horizontally since it's a parabola, so the range will be
[3 , +∞)Domainwell, is simply how left and right it goes or namely over the x-axis.
judging from the arrowheads it moves from infinity to infinity, so
(-∞ , +∞).Solve these pair of simultaneous equations.In each case the first step is to subtract the two equations.Give both solutions;x and y.
x-6y=32
x-4y =24
2x-3y =2
2x + 4y = 44
Please work it out
PLS ANSWER IT I just need the answer
The y-intercept is (0,2)
you can find the y-intercept by finding the value of y when x = 0The slope is -5/2.
you can find the slope by using the equation below and any two points on the line, such as (0,2) and (2,-3)[tex]\frac{y2-y1}{x2-x1}=\frac{-3-2}{2-0} =\frac{-5}{2}[/tex]
Hope that helps!
4) What is the slope of the line joining (7, 8) and (17, 13)
slope is = (13 - 8) / (17 - 7) = 5/10 = 1/2 or 0,5
slope for A (xa ; ya) and B (xb ; yb) = (yb - ya) / (xb - xa)
If the cost of a dozen pencil is ₹ 159.48, what will be the cost of 24 such pencil?
Answer:
₹ 318.96.
Step-by-step explanation:
24/12 = 2 , so twice as much;
159.48 * 2 = 318.96
A philanthropist pledges to donate 13% of a fund each year. If the fund initially has $761,000.00, how much will the fund have after 16 years?
Please type answers with no commas and round to 2 decimal places.
If the philanthropist pledges to donate 13% of a fund each year, at the end of 16 years, the fund will have $35,517,190.20.
How much would the fund have after 16 years?The formula that can be used to determine the value of the fund after 16 years is:
Initial value of the fund x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
(1.13^16 - 1) / 0.13 = 46.671735
46.671735 x $761,000.00 = $35,517,190.20
To learn more about how to calculate future value, please check: https://brainly.com/question/24108530
8 times what equals 64
Answer:
8
Step-by-step explanation:
The required, following the given condition of the equation model, 8 times 8 equals 64.
We start with the equation 8x = 64, where x represents the unknown value we're trying to find. The equation states that when we multiply 8 by x, the result is 64.
To solve for x, we want to isolate it on one side of the equation. In this case, we can achieve this by dividing both sides of the equation by 8. Dividing both sides by 8 gives us:
8x = 64
(8x) / 8 = 64 / 8
Simplifying, we have:
x = 8
Therefore, 8 times 8 equals 64.
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What is the area of a sector with a central angle of 10π7 radians and a radius of 18. 4 m? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box. M².
The area of the sector of the circle will be 759.34 m². It is the amount of area enclosed inside the sector's perimeter.
What is an area of the sector?The area of a circle's sector is the amount of space encompassed inside the sector's perimeter. The origin of a sector is always the circle's center.
The region of a circle encompassed by its two radii and the arc connecting them is known as the sector of a circle.
The given data in the problem is;
[tex]\rm \theta[/tex] is the central angle=[tex]\frac{10\pi}{7}[/tex]= 4.485
r is the radius = 18.4 m
The area of a sector of a circle is found as;
[tex]\rm A= \frac{\theta}{2} \pi r^2 \\\\ \rm A= \frac{4.485}{2} \times (18.4)^2 \\\\ \rm A=759.34 \ m^2[/tex]
Hence the area of the sector of the circle will be 759.34 m².
To learn more about the area of the sector refer to the link;
https://brainly.com/question/1582027
Find the area of a right triangle with side lengths 12 cm, 35 cm, and 37cm
Answer:
210 cm sq
Step-by-step explanation:
Area of a triangle is 1/2bh.
12 cm and 35 cm would be both sides of the triangle, not 37 cm because it is the hypotenuse (largest side).
1/2*12*35=210 cm sq
what fraction gives you an answer of 11/12
Hi there! The fraction that gives you 11/12 is 44/ 48.
---
Hope this helps you!
What is the value of x?
Answer:
x = 9 cm
create proportional equation:
[tex]\sf \dfrac{9}{3x-20} = \dfrac{72+9}{3x-20+56}[/tex]
[tex]\sf \dfrac{9}{3x-20} = \dfrac{81}{3x+36}[/tex]
[tex]\sf 9(3x+36) = 81(3x-20)[/tex]
[tex]\sf 27x+324 = 243x-1620[/tex]
[tex]\sf 27x-243x=-1620-324[/tex]
[tex]\sf -216x=-1944[/tex]
[tex]\sf x = 9[/tex]
Answer:
x = 9Step-by-step explanation:
Since parallel lines cut the transversals proportionally, we can set the following equation and solve for x;
72/9 = 56/(3x - 20)8 = 56/(3x - 20)3x - 20 = 56/83x - 20 = 73x = 27x = 9A bag contains 6 different colored chips. If 2 chips are selected at random, how many different combinations of colors are
possible?
Answer:
I think the answer is 4 or am I wrong please I don't understand
Which property can be used to solve the equation?
5 d = 75
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
Answer:
Division property of equality
Step-by-step explanation:
If you have an equation with the variable not equal to one you want it to equal one so you would divide to get the variable to 1 so 5/5 and then you would do the same to the other side(75/5) d=15.
Answer:Division property of equality
Step-by-step explanation:If you have an equation with the variable not equal to one you want it to equal one so you would divide to get the variable to 1 so 5/5 and then you would do the same to the other side(75/5) d=15.
- Halalna wrote lile
47 X 31 = 1,457
1,457 · 47 =
What is the quotient in Halaina's
problem?
A 47
B 31
с 30
D 25
Answer:
A quotient is the number we get when we divide one number by another.
for example
8 ÷ 4 = 2. In this case, the number 2 will be the quotient since it is the result we got when we divided 8 and 4.
I'm going to assume that "1,457 . 47 =" was meant to have a division sign, if that is the case then the answer is B 31.
Could the following side lengths make a right triangle?
28, 53, 45
Answer:
no. the triangle would be acute
Step-by-step explanation:
[tex]a^2 +b^2=c^2[/tex] ← formula for right triangle
↓
[tex]28^2+53^2=45^2[/tex]?
↓
[tex]28^2=784\\53^2=2809\\45^2=2025[/tex]
↓
[tex]784+2809=3,593[/tex]
↓
[tex]3,593 > 2025\\a^2 +b^2 > c^2[/tex]
which means the triangle is acute, not right.
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
Which point on this number line has a coordinate of 7.47?
Number line from 7.0 to 8.0 with tick marks every 1 one hundredth unit. Tick marks are numbered every tenth unit. Point A is 3 tick marks to the right of 7.3. Point B is 3 tick marks to the right of 7.4. Point C is 7 tick marks to the right of 7.4. Point D is 4 tick marks to the right of 7.7.
Point A
Point B
Point C
Point D
Answer:
I think it is point D
Step-by-step explanation:
hope this helps if it is wrong please let me now
A pool company offers a pool with dimensions x and 2x. They also include a 3 foot deck around the entire pool.
1. Write an equation to represent the area of the pool and deck combined.
2. If someone wants a 10ft wide pool (x = 10) how many square feet must they have available in their back yard?
Answer:
1) area = (x + 3)(2x + 3) ft²
2) 299 ft²
Step-by-step explanation:
Question 1
Area of a rectangle = width x length
Given:
width = x + 3length = 2x + 3⇒ area = (x + 3)(2x + 3) ft²
Question 2
If x = 10:
⇒ area = (10 + 3)(2(10) + 3)
= 13 · 23
= 299 ft²
#1
New dimensions=x+3 and 2x+3ftSo
Area:-
Length ×Breadth(x+3)(2x+3)x(2x+3)+3(2x+3)2x^2+3x+6x+92x^2+9x+9ft^2#2
Put x=10
2(10)^2+9(10)+92(100)+90+9200+99299ft^2