Each side of a pentagon is 20 inches longer than the previous side. What is the length of the shortest side is the perimeter is 401 inches?
Answer:
40.2
Step-by-step explanation:
Side 1= x
Side 2= x+20
Side 3= x+40
Side 4= x+60
Side 5= x+80
Total perimeter= 401
x+x+20+x+40+x+60+x+80= 401
Simplify it...
5x=201
x= 40.2
This is the answer= 40.2
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The length of the shortest side of the pentagon would be:
40.2
Find the lengthGiven that,
Every side of a pentagon is longer by 20 inches.
No. of sides in pentagon = 5
So,
Ist side of the pentagon [tex]= x[/tex]
IInd Side of the pentagon [tex]= x + 20[/tex]
IIIrd Side of the pentagon [tex]= x + 40[/tex]
IVth Side of the pentagon [tex]= x + 60[/tex]
Vth Side of the pentagon [tex]= x + 80[/tex]
We know that,
Perimeter = Sum of all the sides
Since the perimeter is 401 inches, the side can be determined through:
[tex]401 = x+x+20+x+40+x+60+x+80[/tex]
⇒ [tex]401 = 5x + 200[/tex]
⇒ [tex]401 - 200 = 5x[/tex]
⇒ [tex]201/5 = x[/tex]
∵ [tex]x = 40.2[/tex]
Thus, 40.2 is the correct answer.
Learn more about "perimeter" here:
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On a road trip, a family drives 350 miles per day. How many, d, must they travel to reach a distance of at least 1,400 miles? Part A choose the symbol to complete an inequality to represent this situation
Answer:
Y= 350d
d=4
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]350d\ge 1400\\ \\ d\ge 4[/tex]
To build a deck, Roberto needs to buy 180 screws (s), 9 posts (p), and 36 pieces of 1" by 6" lumber (l). He already had the rest of the materials for the deck that he needs. An expression that represents his purchases is shown below:
180s + 9p + 36l
Part A:
Factor the expression that represents Roberto's purchases.
Part B:
The costs of buying the deck materials are shown in the chart below:
Material Cost
100 screw container $6.99
1 post $16.40
Set of 10 pieces of lumber $88.20
What materials does Roberto need to buy?
Part C:
What is the total cost to buy the deck materials (excluding tax)?
The total cost of materials can be found from a list of materials based on the market unit rate.
The correct responses are;
Part A: The factored expression is; 9 × (20·s + p + 4·l)Part B: The materials to be bought are; 2 cartons of screws, 9 pieces of posts, and 4 sets of 10 pieces of lumber.Part C: The total cost of materials is $514.38.Reasons:
Part A: The given expression representing the purchase is presented as follows;
Purchases = 180·s + 9·p + 36·l
Where;
s = Screws
P = Posts
l = Lumber
The factored expression is found as follows;
Purchases = 180·s + 9·p + 36·l = 9 × 20·s + 9·p + 9 × 4·l, which gives;
180·s + 9·p + 36·l = 9 × (20·s + p + 4·l)
The factored expression is; 9 × (20·s + p + 4·l)
Part B: The costs are;
100 screws = $6.99
1 posts = $16.40
10 pieces of lumber = $88.20
The materials Roberto need to buy are;
180 screws, which can be obtained by buying 2 cartons of screws.
9 posts, which is obtained by buying 9 pieces of posts.
36 lumber which can be obtained by buying 4 × 10 pieces = 40 pieces of lumber.
Therefore, the, material Roberto needs to buy are;
2 cartons of screws
9 pieces of posts
40 pieces of lumber
Part C: The total cost of the materials are therefore;
2 cartons of screws × $6.99 per carton = $13.98
9 pieces of posts × $16.40 per piece = $147.6
4 Sets of 10 pieces of lumber × $88.20 per set = $352.8
The total cost = $13.98 + $147.6 + $352.8 = $514.38
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Tasha assembled a picture frame that is advertised as rectangular. The completed frame is 14 inches long and 10 inches wide. She measured the diagonal length across the frame as 20 inches. Which best explains why the frame cannot actually be rectangular?
14 squared + 10 squared not-equals 20 squared
14 + 10 not-equals 20
(14 + 10) squared not-equals 20 squared
(14 squared + 10 squared) squared not-equals 20 squared
Answer:
a
Step-by-step explanation:
got it right
14 squared + 10 squared not-equals 20 squared. Therefore, option A is the correct answer.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given that, the completed frame is 14 inches long and 10 inches wide.
Tasha measured the diagonal length across the frame as 20 inches.
By using Pythagoras theorem, we have
20²=10²+14²
400=100+196
400≠296
Therefore, option A is the correct answer.
To learn more about the Pythagoras theorem visit:
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Was it easier to add, subtract, divide, or multiply polynomials?
Explain why?
Is for a essay help me
Answer:
Add them
Step-by-step explanation:
The distance between Jerry's house and school is
2.5 miles. How many yards is this?
1 mile = 1,760 yards
A) 4,400 yards
B) 3,520
C) 1,763 yards
D) 704 yards
Answer:
A) 4,400 Yards
Step-by-step explanation:
First, I added 1,760 + 1,760 together to represent 2 miles, and you get 3,520. Then, because it is a half mile you cut 1,760 in half to get 880. Finally, just add 3,520 + 880, which equals 4,400. I hope this helps :)
Answer:
it is A) 4,400
Step-by-step explanation:
PLEASE HELP
Find the length of the missing side.
Answer:
use Pythagoras theorem
the missing side is base
Step-by-step explanation:
pythagoras theorem
h^2 = p^2 + b^2
73^2 = 48^2 + b^2
5329 = 2304 + b^2
5329 - 2304 = b^2
3025 = b^2
√3025 = b
55 = b
Is 22,18,12 a right triangle
Answer:
Step-by-step explanation:
12²+18²=144+324=468
22²=484
468<484
12²+18²≠22²
it is not a right angled triangle.
What is the result when 16^3 +28x+22x+15 is divided by 4x+5
Answer:
50
x
+
4111
4
x
+
5
Step-by-step explanation:
Graph the solution
Look at pic
Answer is h>2
A cylinder with radius 7 centimeters and height 9 centimeters has its radius quadrupled. How many times greater is the volume of the larger cylinder than the smaller cylinder .
Answer:
16 times larger
Step-by-step explanation:
g(n)=-4n+2; find g(8)
Answer:
-30
Step-by-step explanation:
In g(8) the 8 = n. So, substitute 8 in for n in the expression -4n + 2
g(8) = -4(8) + 2 = -32 + 2 = -30
Answer:
-30
Steps:
For this you just have to replace the "n" with the 8. make sure you put it parentasies.
PLZ HURRY IT'S URGENT!!!
What are the roots of the quadratic?
-3 and 0
-3 and 1
-1 and 3
-1 and -3
Answer:
Roots are also called x-intercepts or zeros. A quadratic function is graphically represented by a parabola with vertex located at the origin, below the x-axis, or above the x-axis. Therefore, a quadratic function may have one, two, or zero roots. are given by the quadratic formula.
Step-by-step explanation:
PLEASE HELP ME!!!!!!!
Answer:
orange
Step-by-step explanation:
Simplify the expression.
2/5y − 4 + 7 − 9/10y =
Answer:
-y-6/2
Step-by-step explanation:
Answer:
− y-6/2
Step-by-step explanation:
Question 2 10
A group of 15 friends went to Six Flags. 4 friends had $45 each, 3 friends had $40, and 5 friends had only $25. The rest of the
friends only had $15. What is the average amount of money each friend had going to Six Flags? Round your answer to the
nearest hundredths.
Answer:
140.00
Step-by-step explanation:
(45x4) + (40x3)+(25x5)+(3x15) = 2100 (the amount they all had )
the amount they had ÷ the number of ppl
= 2100÷15
= 140.00
A research group is interested in gauging perceptions about costs of textbooks among college students. They use an alphabetized list of students in state universities and use technology to generate a randomly shuffled list of students. They then select students to contact from this list until they have succeeded in contacting 175 students. What is the population parameter of interest
Answer:
Cost of textbooks
Step-by-step explanation:
The population parameter refers to any numerical messure derived from using the entire population data. Since the study above looks to evaluate how college students view the cost of books. Since the population of interest is all students, the reason for which the entire population of students are employed and the variable that is to be measured using these population of student is called the population parameter. In the other hand, numeric estimates or observations derived from a portion of the population called the sample is refereed statistic.
The areas of the squares formed by the side lengths of the triangles are given for each triangle below. Which triangles are right triangles? Select the three correct answers. (Figures are not drawn to scale.)
3 squares form a triangle. The squares have areas 6 inches squared, 10 inches squared, 8 inches squared.
4 squares form a triangle. The squares have areas 9 inches squared, 25 inches squared, 16 inches squared.
5 squares form a triangle. The squares have areas 25 inches squared, 169 inches squared, 144 inches squared.
6 squares form a triangle. The squares have areas 7 inches squared, 25 inches squared, 24 inches squared.
7 squares form a triangle. The squares have areas 64 inches squared, 225 inches squared, 289 inches squared.
8 squares form a triangle. The squares have areas 10 inches squared, 26 inches squared, 24 inches squared.
Answer: options B,C, and E are correct
Step-by-step explanation:
Made a 100% on the test
Answer:
B,C,E
Step-by-step explanation:
cuál es el porcentaje de descuento de 70 a 45
Answer:
no habla espanol, sorry
Answer:
Utilizando la fórmula 2 y sustituyendo los valores indicados:
Precio de venta = Precio original - Valor del descuento. Así,
Precio de venta = 45 - 31.5
Precio de venta = $13.5 (respuesta)
Esto significa que el costo del artículo para usted es $13.5.
Usted pagará $13.5 por un artículo cuyo precio original fue $45 con un descuento de 70%.
En otras palabras, si usted compra una mercancía por $45 con 70% de descuento, Usted pagará $(45 - 31.5) = $13.5
Step-by-step explanation:
esoes
pls help i’m on the verge of tears
Answer:
Aw don't cry <3
It would be easier if you use a website with a graph! There is a website called "desmos" and if you search up desmos graphing calculator you will find it. Type in the points in the website, and it would add in the points for you.
but here is a piece of key information:
Make [tex]\frac{3}{4}[/tex] into a decimal. That would be 0.75.
Since it says "of the way from", count the boxes in the graph from each point.
Hope this helps! ^.^
Jenny can hike 5 kilometers in 30 minutes. What is Jenny’s average hiking speed in kilometers per hour?
Answer:
10
Step-by-step explanation:
5*2 is 10
Answer:
30 minutes is half of an hour
so multiply both 30 and 5 by 2
So for every hour, Jenny hikes 10 kilometers
please help thank you
If John invests the $1,000 he receives today at an interest rate of 4.8% compounded monthly, in one year the investment will be worth how much?
When John receives $1,000 a year from now, the $1,000 he invested today will be worth how much more than the $1,000 he receives in the future?
A bike repair shop charges $10 to evaluate a bike and $5 per hour to repair it.
What’s the answer to this question
Which is the sum of 8 3/4 +2 1/2?
O A. 11 1/6
B. 11 1/4
O C. 10 1/2
O D. 10 1/4
please help fast
Answer:
B. 11 1/4
Step-by-step explanation:
8 3/4 + 2 2/4 = 11 1/4
We want to sum two mixed numbers.
The correct option is D: 11 1/4
A mixed number is a number that is separated into a whole part and a rational part.
Here we want to sum:
(8 3/4) + (2 1/2)
This can be written as:
8 + 3/4 + 2 + 1/2
Now we group the whole numbers and we group the rational numbers:
8 + 3/4 + 2 + 1/2 = (8 + 2) + (3/4 + 1/2) = 10 + (3/4 + 1/2).
To perform the sum of the rational numbers, we can write:
1/2 = 2/4
Then we have:
10 + (3/4 + 1/2) = 10 + (3/4 + 2/4) = 10 + 5/4 = 10 + 4/4 + 1/4 = 11 + 1/4
Then we can see that the correct option is D.
If you want to learn more, you can read:
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What's 258/42?
What's 4,274/51?
What's 7,106/ 78?
What's 28,440/ 72?
(Make sure there's no Decimal point, the answer has to be like 27 R2 for example.)
what is 6(-5n + 7) simplified?
Answer:
-30n+42
Step-by-step explanation:
You have to use distributive property.
Multiply 6 with -5n which is -30n. Then, Multiply 6 with 7 which is 42. Since, 5n is negative the product is also negative, and since 7 is positive the product is positive. Therefore you will get, -30n+42.
I hope this helps!
Could I get brainliest? ✨
The simplified form of 6(-5n + 7) is -30n + 42.
To simplify the expression 6(-5n + 7), we apply the distributive property. The distributive property states that when we multiply a number outside the parentheses by an expression inside the parentheses, we must multiply it by each term inside the parentheses.
In this case, we have 6 multiplied by the expression (-5n + 7).
Multiplying 6 by -5n gives us -30n, and multiplying 6 by 7 gives us 42.
So, combining these results, we get -30n + 42.
This simplified expression, -30n + 42, cannot be further simplified because there are no like terms to combine.
Therefore, 6(-5n + 7) simplifies to -30n + 42.
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When you multiply a given fraction by a factor greater than 1, the product will (always, sometimes, never) be less than the given fraction
9514 1404 393
Answer:
sometimes
Step-by-step explanation:
For positive numbers, multiplying by a factor greater than 1 increases their value:
(1/2) × 2 = 1 > 1/2
For negative numbers, multiplying by a factor greater than 1 decreases their value:
(-1//2) × 2 = -1 < -1/2
So, "sometimes" the product will be less than the given fraction.
is -9 irrational or rational
Answer:
Rational because it's a whole number
hope this helps
have a good day :)
Step-by-step explanation: