Lets see
For side=6
Area=side²=6²=36units²Now midpoints are the connections so diagonal of half side are the sides of new one
New side
√(6/2)2+(6/2)²√3²+3²√183√2New area
(3√2)²=18Again new area will be half of old area
18/2=9Again
9/2=4.5This forms a geometric sequence
First term=a=36Common ratio=r=(0.5)Now
sum for infinite series:-
[tex]\\ \rm\Rrightarrow \dfrac{a}{1-r}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{36}{1-0.5}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{36}{0.5}[/tex]
[tex]\\ \rm\Rrightarrow 72units^2[/tex]
the maximum walking speed S, in feet per second of an animal can be modeled by the equation S=the square root gL where g=32ft/sec and L is the length ,in feet, of the animal's leg.To the nearest hundredth how many greater is the maximum walking speed of giraffe with a leg length of 6 feet than a hipppotamus with a leg length of 3 feet.
The maximum walking speed of the Giraffe is 1.41 times greater than the maximum walking speed of the Hippopotamus
Calculating Maximum speedFrom the question, we are to determine how much greater the maximum walking speed of Giraffe is to that of Hippopotamus
From the give information,
The maximum walking speed, S, is given by
S = √gL
Where g = 32ft/sec
and L is the length of the animal's leg
Thus,
For a Giraffe with a leg length of 6 feet
S = √32×6
S = √192
S = 13.856 ft/sec
For a Hippopotamus with a leg length of 3 feet
S = √32×3
S = √96
S = 9.798 ft/sec
Now, we will determine how many times greater 13.856 is than 9.798
13.856/9.798 = 1.41
Hence, the maximum walking speed of the Giraffe is 1.41 times greater than the maximum walking speed of the Hippopotamus
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find the perimeter of rhombus with vertices p(-2, -3) ,Q(1,1) ,R(4,-3),S(1,-7).
The perimeter of a rhombus with vertices p(-2, -3) ,Q(1,1) ,R(4,-3),S(1,-7). is 20 units
What is a rhombus?A rhombus is a quadrilateral that has all its sides equal to each other.
The rhombus has 4 sides and all it sides are equal.
Therefore,
perimeter of a rhombus = 4l
where
l =lengthTherefore,
using p(-2, -3) ,Q(1,1)
l = √(1 + 3)² + (1 + 2)²
l = √4² + 3²
l = √16 + 9
l = √25
l = 5 units
Therefore,
perimeter of the rhombus = 4(5) = 20 units
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In the expression 3x the letter x is a
Charmaine is comparing offers from two banks on checking accounts that include debit cards. Bank A charges a $25 monthly fee for a checking account and debit card, plus$0.90 for each transaction. Bank B charges a $30 monthly fee for a checking account and debit card, plus $0.50 for each transaction. Suppose Charmaine makes transactions in a given month. Answer the questions below
The pay at each bank for the given month is $56.5 to Bank A and $47.5 to Bank B.
How to solve statement based questions ?For the statement based question first of all try to find out that what is given in the statement and what we have to find out. Now, try to form the statements in the mathematical notation and then solve the equations by performing certain mathematical and algebra operations according to need.
In the question statement,
It is given that total number of transactions are 35 in a given month and pay for 2 banks are given to us. we need to calculate the total payout of transactions for both the banks.
Bank A charge $25 monthly fee on a checking the accounts, plus
$ 0.90 for each transaction.
As Charmaine makes 35 transactions.
Total charges of bank A= $25 + (0.9)35
Total charges of bank A= $25+31.5 = $56.5
Also,
Bank B charge $30 monthly fee on a checking the accounts, plus
$ 0.50 for the each transaction.
Total charges of bank B= $30 + (0.5)35
Total charges of bank B= $30+17.5
Total charges of bank B= $47.5
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The complete question is :
Charmaine is comparing offers from two banks on checking accounts that include debit cards. Bank A charges a $25 monthly fee for a checking account and debit card, plus$0.90 for each transaction. And a Bank B charges a $30 monthly fee for a checking account and debit card, plus $0.50 for each transaction. Suppose Charmaine makes 35 transactions in a given month.
How much would he pay at each bank for the given month?
Bank A
Bank B
There is a line that includes the point (2, 10) and has a slope of 1. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
Answer:
The line is y=1x+8
Step-by-step explanation:
We can use point-slope form of a line to make an equation. Point-slope form is as follows:
y-y₁=m(x-x₁)
**The variables y₁ and x₁ are where we will plug in our given coordinates and the variable m is your slope.
1. Plug in the given info:
y-10=1(x-2)
2. Distribute the 1:
y-10=1x-2
3. Add 10 to both sides:
y=1x+8
You are searching online for the best price you can find for a hat that you really want to buy. The hat originally costs $20 at al three stores. Place the discounts in order of the best buy (at the top) to the worst buy (at the bottom). 1/5 off the price of the hat. 30% off the price of the hat. 5.00 off the hat
Answer:
Best to worst: 30% off, $5 off, 1/5 off. Need an explanation? See below for fully worked out answer!
Step-by-step explanation:
1/5 off of the hat:
1/5 of 20
20 divided by 5 equals 4
$4 would be taken off with this discount. 20-4=16. Therefore the hat would cost $16 at this store.
30% off of the hat:
20 times 30% = 20 times 0.30
20 times 0.30=6.
$6 dollars would be taken off of the hat. 20-6=14. Therefore, the hat at this store would cost $14.
$5 off of the hat.
20-5=15
The hat would cost $15 at this store.
Best to worst: 30% off, $5 off, 1/5 off.
I sincerely hope this helps you! Good luck on your test/homework you are completing!
Solve for x.
Can anyone help me please?
Answer:
The answer is 1
Step-by-step explanation:
3-4= -1
-1+x= 1
giving brainliest !!!!!
Answer:
So, the triangles cannot be proven congruent
Step-by-step explanation:
Congruence Theorems
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
The triangles shown in the figure have two clear congruent angles as marked in red color. The third angles located at point P is also congruent because they are vertical angles or opposite angles.
Being all three angles of the same measure, it proves both triangles are similar, but not necessarily congruent. The side lengths may be of the same measure, but they could also be proportional.
So, the triangles cannot be proven congruent
find the sum of of LCM and GCF of 15, 35, 56
Answer:
LCM sum: 3
GCF sum: 3
3 + 3 = 6
Step-by-step explanation:
Here I listed all the factors of each number:
15: 1, 3, 5, 15
35: 1, 5, 7, 35
56: 1, 2, 4, 7, 8, 14, 28, 56
As you can see, the LCM of these numbers is 1, since none of the other factors relate to all of the number's factors. This is also the only factor that all three of these numbers share.
1 + 1 + 1 = 3
The GCF of each of the numbers is also 1.
1 + 1 + 1 = 3
Hope this helps! :D
The expression on the left side of an equation is shown below.
Negative 4 (x minus 2) + 5 x = box
If the equation has no solution, which expression can be written in the box on the other side of the equation?
Answer:
9x-9
Step-by-step explanation:
the expression on the left simplifes to be 9x-8 so anything other than that will not produce a solution
examples: 9x+1, -9x-8, 10x+3, 12x . . .
Answer:d
Step-by-step explanation:
Millie eats 1/3 of a packet of biscuits. She shares the rest between 3 friends.
What fraction of the original packet does each friend get?
Answer:
She gave 1/3 of the cookies to her neighbor ... Of the cookies that were left, Jane gave 3/4 to her parents, and she ate the rest. ... How many cookies did Jane's parents get if she gave them 3/4 of 16?
Step-by-step explanation:
Evaluate the expression: 6(4+ 9) -3²|+2
Answer:
69
Step-by-step explanation:
First add the numbers in brackets
6x13-3^2(that means squared)
Evaluate the power
6x13-9
Multiple
78-9
And calculate
the answer is 69
10 POINTS Solve for x:
2x-7=5x+13
x = -20/3
x = -7
x = 22/3
Which is not proportional to 3/7?
6/14
12/28
0.3/0.7
9/28
Answer:
9/28
Step-by-step explanation:
3*3 = 9
7*3 = 21 not 28
hence, this fraction isn't proportional
Find the difference. Show each step for full credit. Use ^ for exponents, for instance x^2 means x2
3n^3+ 4n^2 – 9 and -2n^3 + 4n – 9
The difference between 3n³ + 4n² - 9 and -2n³ + 4n - 9 is 5n³ + 4n² - 4n
Given,
The two expressions are:
a = 3n³ + 4n² - 9
b = -2n³ + 4n - 9
We have to find a - b:
That is,
(3n³ + 4n² - 9) - ( -2n³ + 4n - 9)
Open the bracket and multiply (-) with the terms.
That is,
3n³ + 4n² - 9 + 2n³ - 4n + 9
Now solve the expression:
We get,
3n³ + 4n² + 2n³ - 4n
Add 3n³ and 2n²
Then,
5n³ + 4n² -4n
Therefore, the difference between 3n³ + 4n² - 9 and -2n³ + 4n - 9 is 5n³ + 4n² - 4n
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A rectangular plot of land has a width of (2x+3) feet and a length of (3x-1) feet. Express the PERIMETER as a function of x.
Answer:
f(x)=2(3x-1)+2(2x+3)
Step-by-step explanation:
perimeter is 2×length plus 2×width. f(x) means function of x
if (x) = 3x^2 + 10, what is f(-7)
Answer:
f(x) = -139
Step-by-step explanation:
f(x) = 3x^2 + 10 If f(-7)
f(-7)= 3 * -7^2 + 10
F(-7) = 3 * -49 + 10
f(-7) = -147 + 10
f(-7) = -139
Answer:
-137
Step-by-step explanation:
3*(-7)2+103*-49+10-147+10-137which expression is equivalent to this polynomial expression? (8x^2y^2-9x^2y+9y) -(6x^2y-xy^2+4y) A.-7x^2+xy^2+5y B.8x^2y^2-3x^2y-xy^2+13y C.-7x^2y^2-xy^2+13y D 8x^2y^2-15x^2y+x^2+5y
Answer:
D. 8x²y² - 15x²y + xy² + 5y
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
(8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y)
Step 2: Simplify
Distribute negative: 8x²y² - 9x²y + 9y - 6x²y + xy² - 4yCombine like terms (x²y): 8x²y² - 15x²y + 9y + xy² - 4yCombine like terms (y): 8x²y² - 15x²y + xy² + 5y2. Ana bills $1350 for 6 hours of work as an environmental lawyer. What is Ana's
hourly rate? Show your work and explain your reasoning.
2
13
Hours
Dollars
1350
Your answer
ar ciets 45 miles per callon please list
ht
Answer:
225
Step-by-step explanation:
Easy, just divide! 1350 ÷ 6 = 225
sorry if this is wrong in my first year of middle
Two warning lights flash on the fences of Jurassic Park. One light flashes every 3 seconds. Another light flashes
every 4 seconds. How many times will they flash at the same time over the course of one minute?
Answer:
5 times
Step-by-step explanation:
Demos
b = 2c + 6 what is the function?
Answer:
2c put me as brainlest
Step-by-step explanation:
Let's solve for c.
b=2c+6
Step 1: Flip the equation.
2c+6=b
Step 2: Add -6 to both sides.
2c+6+−6=b+−6
2c=b−6
Step 3: Divide both sides by 2.
2c
2
=
b−6
2
c=
1
2
b−3
Answer:
c=
1
2
b−3
now if ur just looking for the funtipn the asnwer would be 2c i think
Answer:
B. -6+8d-2c C. -2c+8d-6
Step-by-step explanation:
In order to determine which expressions are equivalent to you need to set the expression equal to the options available.
Which set of ordered pairs represents a function?
A) { (-4,-6) (-4,2) (4,-1) (2,9)}
OB) { (-5,2) (-9,-2) (-5,6) (0,2)}
C) {(6,1) (10,8) (8,-5) (0,-9) }
OD) {(1,0) (-3,-6) (6,3) (-3,0) }
Answer:
Correct answer is C because 1 input has only 1 output.
Find 0.8% of 1,046
ddddddddddddddddddddddddddddddddddddddd
0.8/100 * 1046
=8.368
Answer:
8.368
Step-by-step explanation:
Joe's salary in 2001 was $32,600. In 2002, he received a raise of $1560. Assume he receives the same raise every year. Which function describes Joe's salary after 2001? What is Joe's salary in 2007?
Answer:
function i dont know im looking for the same answer but im pretty sure his salary is going to be 41,960 if you multiply the raise by 6 and 43,520 if you multiply the salary by 7
Step-by-step explanation:
The required Joe's salary will be represented by y = 32600 + 1560(x - 2001) and his salary in the year will be $41,960.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let Joe's salary after x years be y,
According to the question,
y = 32600 + 1560(x - 2001)
Now,
For year x = 2007
Joes income,
y = 32600 + 1560(2007 - 2001)
y = 32600 + 1560(6)
y = $41,960
Thus, the required Joe's salary will be represented by y = 32600 + 1560(x - 2001) and his salary in the year will be $41,960.
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This is past due I need help will give brainlist
Answer:
A
Step-by-step explanation:
Which of the following statements must be true based on the diagram below? Select all that apply. (Diagram is not to scale.)
ASAPPPPP
The statements that must be true based on the diagram below are:
LM is a segment bisectorLM is a perpendicular bisectorL is a midpoint in the diagramM is a midpoint in the diagramHow to determine which of the following statements must be true based on the diagram below?From the diagram, segments that have the same mark are congruent segments
This means that:
Segments KL and HL are congruent segments
So, we have:
LM is a segment bisector
Also, because the angle at point L is a right-angle
LM is a perpendicular bisector and L is a midpoint in the diagram
Lastly, point M is a midpoint in the diagram
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Students were asked to choose their favorite subject. If 1/4 of the students chose social studies and 3/8 chose math, what fraction of students chose either social studies or math?
Answer:
20/32 students chose either math or social studies.
Solution:
1/4 is equivalent to 8/32 and 3/8 is equivalent to 12/32 if you add them you get 20/32.
Write a system of linear equations for the problem and solve the system using an augmented matrix and your calculator.
Mike works a total of 59hr per week at his two jobs. He makes $8 per hour at job A and $9 per hour at job B. If his total pay for one week is $494 before taxes, then how many hours does he work at each job?
Answer: he works 37 hours in job A, and 22 hours in job B.
Step-by-step explanation:
Let's define the variables:
A = number of hours that he works at Job A
B = number of hours that he works at Job B.
We know that he works a total of 59hr per week, then we have:
A + B = 59
And we also know that he makes $494 in one week, then we have the equation:
A*$8 + B*$9 = $494.
Then we have the system of equations:
A + B = 59
A*$8 + B*$9 = $494
To solve this with an augmented matrix, we need to turn these equations into a matrix, where we only write the coefficients as follows:
[tex]\left[\begin{array}{cccc}1&1&I&59\\8&9&I&494\end{array}\right][/tex]
(The I's should represent a line for the augmented matrix, that line separates the values of the coefficients to the right value of each equation)
The first column represents the A coefficients, the second column represents the B coefficients.
To solve this, we want to get something of the form:
[tex]\left[\begin{array}{cccc}1&0&I&x\\0&1&I&y\end{array}\right][/tex]
Where x and y are our solutions.
To do it we can just do: Column 2 - 8*column 1, this will get us to:
[tex]\left[\begin{array}{cccc}1&1&I&59\\8 - 8*1&9 - 8*1&I&494 - 8*59\end{array}\right][/tex]
=
[tex]\left[\begin{array}{cccc}1&1&I&59\\0&1&I&22\end{array}\right][/tex]
Now we can do: Column1 - column2, to get
[tex]\left[\begin{array}{cccc}1 - 0&1 - 1&I&59 - 22\\0&1&I&22\end{array}\right][/tex]
[tex]\left[\begin{array}{cccc}1&0&I&37\\0&1&I&22\end{array}\right][/tex]
Then the solutions are:
1*A =37
1*B = 22
This means that he works 37 hours in job A, and 22 hours in job B.
Which of the following is a radical equation?
+√√√5 = 12
X+N
O x² = 16
O 3+x√√√7=13
07√√x=14
The radical equation among the following equations will be 7√ x = 14 as it is the only equation that has a radical variable that is √ x.
A radical equation is an equation which has at least one variable to be put on in a radical form.
In this question, we have only one kind of variable which is x. So, we will only analyze that variable only.
Now, we need to find the equation where x is in the radical form.
The radical form can be expressed with square root symbol.
The option with √ x would be only 7√ x = 14.
Therefore, the radical equation among the following equations will be 7√ x = 14 as it is the only equation that has a radical variable that is √ x.
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Your question was incomplete. Please refer the content below.
Which of the following is a radical equation? x+√5=12
x^2=16
3+x√7=13
7√x=14
Write an inequality with the same meaning as the following
16 > x
Answer:
16>x/2
Step-by-step explanation: