Answers
then [tex]the perimeter=31+(4x^{2}+8x)+(7x+30)+(3x^{2}-5x+20)[/tex]
[tex] the perimeter= (4x^{2}+3x^{2})+(7x+8x-5x)+20+30+31=7x^{2}+10x+81[/tex]
for x=2
[tex] the perimeter= 7*(2)^{2}+10*2+81=7*4+20+81=28+101=129[/tex]
Note:
Please double check the substitution but the procedure is 100% right.
Answer:
Step-by-step explanation:
Since perimeter of any polygon is represented by sum of its all sides.
Therefore, perimeter of the given quadrilateral = (4x² + 8x) + (3x² - 5x + 20) + (7x + 30) + 31
4x
Related Questions
I need help with the attached problem. GIVING BRAINLIEST! Thank you!
Answers
First let x = the dimension of the squares and y = the congruent sides of the isosceles triangles.
To get our first equation of the system, we look at the statement regarding the perimeter of DRAGONFLIES being equal to 127.. this implies the following equation: 9x + 2y = 127
To get the second equation, we need to know that the perimeter of an isosceles triangle is defined by: P = 2(length of the congruent sides) + base side. Or in our case, 55 = 2y + x
Now our system:
9x + 2y = 127
x + 2y = 55
You can use the substitution method or linear combination to solve this system. If you have questions about how to do that, let me know.
The solution of the system is: x = 9 and y = 23
Recall x = the dimension of each square, so the area of DRAG is 81
This is my best guess at how to do the problem.. :-) Let me know if I can answer any questions.
The Sunday school teacher gave 5 Friend's Day invations to each of her 19 students to give to their friends. She had 5 left over. How much invations did the teacher start out with?
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Plz plz help it is due in tomorrow anyone plz
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2. 3/2 or an alternative 1 1/2
3. 5/33 or an alternative 1 2/3
4. 2 3/5 or an alternative 2 3/5
5. 20/3 or an alternative 6 2/3
6. 49/6 or an alternative 8 1/6
if you have any further question ask away!
hope I helped ;)
Mickey’s beagle has a mass of 15 kilograms. His dachshund has a mass of 13 kilograms. What is the combination of both?
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what are the odds against rolling a sum of 6 with the roll of two dice?
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Final answer:
The odds against rolling a sum of 6 with the roll of two dice are 31:5, as there are 5 favorable outcomes for a sum of 6 and 36 total possible outcomes when rolling two dice.
Explanation:
The question is asking about the odds against rolling a sum of 6 with two dice. To calculate this, first, we need to find all the possible combinations of two dice that sum up to 6. Those combinations are (1,5), (2,4), (3,3), (4,2), and (5,1), therefore there are 5 ways to achieve a sum of 6.
The total number of possible outcomes when rolling two dice is 6 * 6 = 36, since each die has 6 faces. So, there are 36 - 5 = 31 ways to not roll a sum of 6. The odds against rolling a sum of 6 are therefore the number of ways not to roll a 6 to the number of ways to roll a 6, which is 31:5.
Odds against rolling a sum of 6 with two dice = 31:5.
What is the locus of all points equidistant from lines X and Y in the figure?
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More details about X and Y in this question would be really helpful!
What is 2 ¾% in decimal form?
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2 3/4 = 2 + 3/4
2 + ( 3 ÷ 4 )
2 + 0.75 = 2.75
Hope this helped!
1/3 of birds egg hatch in two eggs hatch how many eggs did the bird lay
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2/3 is 4.
3/3 is 6.
Hope this helped☺☺
The total number of eggs a bird laid is 6 eggs.
To solve this problem we need to break it down step by step:
Assuming 1/3 of the eggs hatch means 2 eggs hatch, so if two eggs hatch, this represents 1/3 of the total eggs laid.
To find the total number of eggs the bird laid, we need to find the equivalent of 1 whole (the total). If 1/3 is equal to 2 eggs, then the whole (3/3 or 1) would be 6 eggs.
How do I solve #21???? Please don't just give me the answer.... tell me how u got it... thanks!
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_______________________________________________
XY = 3 units (obtained from counting on the graph provided).
YZ = 5 units (obtained from counting on graph provided).
_______________________________________________
To find ZX (the hypotenuse); use the Pythogorean Theorem:
→ 3² + 5² = c² ; in which "c" = ZX ;
→ c² = 3² + 5² = 9 + 25 = 34 ;
→ c² = 34 ;
To find "c" ; take the positive square root of each side of the equation;
to isolate "c" on one side of the equation; & to solve for "c" ;
→ √(c²) = √34 ;
→ c = 5.8309518948453005 ;
→ round to: "5.831 "
_______________________________________________________
At a sale, books are sold at $90.75 each, which is 75 percent of the original price. What is the original price
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[tex] \frac{75}{100} = \frac{90.75}{x} \\ x = \frac{90.75 \times 100}{75} = \frac{9075}{75} = 121[/tex]
the answer is 121
To find the original price of the book, we can set up an equation: 0.75x = $90.75. Solving for x, we find that the original price is $121.
Explanation:To find the original price of the book, we can set up an equation. Let's denote the original price as x. The sale price is 75% of the original price, which can be expressed as 0.75x. We are given that the sale price is $90.75, so we can set up the equation:
0.75x = $90.75
To solve for x, we divide both sides of the equation by 0.75:
x = $90.75 / 0.75
Using a calculator, we can calculate that the original price of the book is $121.
A triangle has one side that measures x, another side that measures 2x, and a third side that measures 5 less than x. The perimeter is 31 inches. Which equation would you use to find the value of x? Explain your answer
A. x + 2x + x - 5 = 31
B. x + 2x + x + 5 = 31
C. x + 2x - x - 5 = 31
D. x + 2x - x + 5 = 31
Answers
2nd side = 2x
3rd side is x-5
so x +2x + x-5 = 31
answer is A
In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 8m? Enter your answer in the box
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help please.
1. Oatmeal costs $1.73/lb.
How much would 2.6 lb of oatmeal cost?
(Points : 1)
$1.50
$4.48
$4.50
$4.58
Question 2. 2. What percent of $520 is $494?
(Points : 1)
5%
11%
26%
95%
Answers
1.73/lb * 2.6 pounds= $4.498= $4.50
ANSWER: C) $4.50
2) set up a proportion. 494 is what % out of 520 as x is what out of 100.
$494/$520= x/100
cross multiply
(494*100)= (520*x)
49400= 520x
divide both sides by 520
95%= x
ANSWER: D) 95%
Hope this helps! :)
1. Cost of oatmeal:
Cost of oatmeal=1.73/lb× 2.6 pounds
Cost of oatmeal= $4.498
Cost of oatmeal= $4.50 (Approximately)
2. Percentage:
Percentage=494/520×100
Percentage=95%
Inconclusion the amount that 2.6 lb of oatmeal cost is $4.50 and the percent of $520 that is $494 is 95%.
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What is the sum of 11 feet and 4 yards?
8 yards
15 feet
23 feet
8 yards, 1 foot
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3 × 4 = 12
12 + 11 = 23
The answer is 23 ft.
Hope this helps!
The temperature of a cup of coffee t minutes after it has been poured is described by the function C(t) = 20 + 60(0.95)^t . a. How many minutes does it take for the coffee to cool to a temperature of d degrees? b. About how fast is the temperature dropping when t = 1?
Answers
120 = 120(2 ^ 10a) + 60
2 ^ -1 = 2 ^ 10a
a = -1/10
The temperature of coffee 30 minutes after it was poured is:
F = 120 ( 2 ^ -30/10) + 60
F = 120 * 1/ 8 + 60
F = 15 + 60
F = 75
Roberto will save 1/6 of his allowance each day. If he gets $2.00a day, about how much money will be save each day? Round your answer to the nearest penny.
Answers
Aaliyah ate 7⁄8 of her mini-pizza, while James only ate 3⁄4 of his mini-pizza. How much more did Aaliyah eat
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Final answer:
Aaliyah ate 1/8 more of the mini-pizza than James after converting their consumed amounts to a common denominator and subtracting James's share from Aaliyah's.
Explanation:
To calculate how much more Aaliyah ate compared to James, we need to compare the fractions of the mini-pizzas they each consumed. Aaliyah ate 7/8 of her mini-pizza, while James ate 3/4 of his mini-pizza. To make a comparison, we have to ensure both fractions have the same denominator.
Since the least common denominator for 4 and 8 is 8, we convert James's fraction from 3/4 to 6/8 by multiplying both the numerator and the denominator by 2. Now we can compare the amounts:
Aaliyah: 7/8 of a mini-pizza
James: 6/8 of a mini-pizza
To find out how much more Aaliyah ate, we subtract James's portion from Aaliyah's:
7/8 - 6/8 = 1/8
Therefore, Aaliyah ate 1/8 more of the mini-pizza than James.
: Below are two expressions. Simplify each and then choose the statement that is true.
Expression #1
Expression #2
Expression 1: (3x2)3x^2
Expression 2: (3x^3)^2(x^2)
The exponents in Expression #1 are greater than the exponents of Expression #2.
The exponents on Expression #2 are greater than the exponents of Expression #1.
The exponents of Expression #1 are the same as the exponents of Expression #2.
The relationship cannot be determined with the given information.
The answer I got was A
Answers
We have then:
Expression 1:
(3x2) 3x ^ 2
(9x ^ (2 + 2))
9x ^ 4
Expression 2:
(3x ^ 3) ^ 2 (x ^ 2)
(9x ^ 6) (x ^ 2)
(9x ^ (6 + 2))
9x ^ 8
Answer:
The exponents on Expression # 2 are greater than the exponents of Expression # 1.
(8> 4)
Which object would be best measured in ounces?
A.
strawberry
B.
bed
C.
car
D.
horse
Answers
A small software company has two customer service representatives.The supervisor of he customer service department determines that there is an 85% probabiiy that a customer sevice representative will e on the phone with a customer at any given time. what is the probability o both representatives being on the the phone at the same time?,
Answers
Answer:
The probability that both customer representatives are on the phone at the same time is 72.25%.
Step-by-step explanation:
Consider the provided information.
There is an 85% probability that a customer service representative will be on the phone with a customer at any given time.
There are 2 customer service representatives.
To find the probability that both customer representatives are on the phone at the same time, we multiply the independent probabilities together.
0.85×0.85=0.7225
Hence, the probability that both customer representatives are on the phone at the same time is 72.25%.
Which expression is equivalent to -18a^-2 b^5/-12a^-4 b^-6? Assume a=0, b=0.
a- 2a^2 b^11/3
b-2a^2 b^30/3
c-3a^2 b^11/2
d-3a^2 b^30/2
Answers
coefficients: 18/-12 = -3/2
exponents of a: -2-(-4)=2
exponents of b: 5-(-6)=11
The required expression is (-3/2)a²b¹¹ which is equivalent to the given expression. which is the correct answer would be option (C)
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The expression is given in the question as:
-18a⁻² b⁵/-12a⁻⁴ b⁻⁶
To find the equivalent expression for -18a⁻² b⁵/-12a⁻⁴ b⁻⁶, we need to combine the constants and factors that have the same base and exponent.
You can begin by combining the constants in the fraction: -18/-12 = -3/2.
Next, you can simplify the terms involving the variables. Recall that when you divide two powers with the same base, you subtract the exponents. Therefore, you can simplify the expression as follows:
(-3/2)(a⁻² ÷ a⁻⁴ (b⁵ ÷ b⁻⁶)
= (-3/2)(a⁻⁴ a⁴) (b⁵ b⁶)
= (-3/2)(a²)(b¹¹)
= (-3/2)a²b¹¹
This is the simplified form of the given expression.
Hence, the correct answer would be option (C)
Learn more about the algebraic expression here :
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What is the length of ST, to the nearest tenth of a yard?
Answers
Use the Law of Sines to find side b.
b / sin(B) = a / sin(A)
b / sin(59°) = 7 / sin(79°)
b = (sin(59°) x 7) / sin(79°)
b = 6.112
That is answer B.) 6.1 yards
Hope this helps!
Answer: Second Option is correct.
Step-by-step explanation:
Since we have given that
ΔSRT is a triangle with measures :
SR = 7 yd
∠T = 79°
∠R = 59°
We need to find the side ST say x.
We will use " Law of Sines " :
[tex]\frac{\sin T}{SR}=\frac{\sin R}{ST}\\\\\frac{\sin 79^\circ}{7}=\frac{\sin 59^\circ}{x}\\\\0.14=\frac{\sin 59^\circ}{x}\\\\x=\frac{\sin 59^\circ}{0.14}\\\\x=6.12\ yd[/tex]
Hence, the length of ST = 6.1 yd.
Therefore, Second Option is correct.
Trey wants to plant grass in his backyard. His backyard is in the shape of a rectangle. Its length is 31
feet and its width is 24
feet. Suppose each pack of seed covers 12
square feet. How many packs of seed will he need to cover the backyard?
Answers
Area of a rectangle is length x width.
31 x 24 = 744
Divide the total area of the yard by the coverage of the seeds.
744/12 = 62
He will need 62 packs of seed.
To find out how many packs of seeds Trey needs, we need to first determine the area of his backyard which is 744 square feet. Each pack of seed cover 12 square feet. Therefore, dividing the total area by the area a pack of seed covers, we find that he needs 62 packs of seeds.
Explanation:The subject of this question is Mathematics. Specifically, it involves the concept of area and multiplication, commonly taught in middle school. Trey's backyard is in the shape of a rectangle, and we know that the area of a rectangle is calculated by multiplying its length by its width. In this case, the length is 31 feet and the width is 24 feet. Multiplying these numbers gives us a total area of 744 square feet.
Each pack of seed covers 12 square feet. So, to figure out how many packs Trey needs, we would divide the total area by the area each pack covers. Dividing 744 by 12 gives us 62, which means Trey will need to buy 62 packs of seeds.
Learn more about Area and Multiplication here:https://brainly.com/question/29156658
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Answer ASAP
Find the area for this shape
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so...
A = 1/2(4.9 + 1.5)(4)
A = 1/2(6.4)(4) = [tex]12.8 km^{2}[/tex]
A = [tex] \frac{a+b}{2} (h)[/tex]
A = [tex] \frac{1.5+4.9}{2} (4) [/tex]
A = 12.8
The area is 12.8 km²
The formula for the area of a regular polygon is A=1/2ap. What is the equation solved for a?
Answers
I'm pretty sure its this a=A/(1/2p)
Answer:a=2A/p
Step-by-step explanation:
Choose the equation of the vertical line passing through the point (-2, 3).
y = 3
x = 3
y = -2
x = -2
Question 10 (Multiple Choice Worth 5 points)
[4_05]Choose the equation of the horizontal line that passes through the point (-5, 1).
y = -5
x = 1
y = 1
x = -5,
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a) = -2
b) = 1
Please Help me !!Q 1,2,3
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1i) (20 cm)*(12 cm) = 240 cm^2
2ii) (7 cm)*(7.5 cm) = 52.5 cm^2
3iii) 27 cm^2 = (6 cm)*h
.. h = (27 cm^2)/(6 cm) = 4.5 cm
Wich fraction is equivalent to negative 7 over 8
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A basketball player scores 162 points in 9 games. at this rate, how many points will she score in a 24-game season? answer
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162/9 = 18 points per game
18 points x 24 games = 432
Evaluate: f(x) = -2x – 3 for x = -1. A. -5 B. -2 C. -1 D. 5