Answer: 8 and 7
Step-by-step explanation:
8 multiplied by 7 equals 56
8+8+7+7 equals 30 which is the perimeter
:)
The dimensions of the rectangle whose perimeter is 30 meters and whose area is 56 square meters are 7 meters and 8 meters.
What do we mean by the area of a surface?The area of a surface is the total space occupied by the two-dimensional cross-section.
What do we mean by the perimeter of an object?The perimeter of an object is the total length of its boundary.
How do we solve the given question?We are asked to find the dimensions of a rectangle whose perimeter is 30 meters and whose area is 56 square meters.
Let the length and breadth of the rectangle be l meters and b meters respectively.
We know that,
Perimeter of a rectangle = 2(length + breadth) = 2(l + b)
∴ 30 = 2(l + b)
or, 2(l + b) = 30
or, l + b = 15
or, b = 15 - l ...(i)
We know that,
Area of a rectangle = length*breadth = l*b
∴ 56 = l*b
or, l*b = 56
Substituting the value of b = 15 - l from (i) in the above equation, we get:
l(15 - l) = 56
or, 15l - l² = 56
or, l² - 15l + 56 = 0
or, l² - 8l - 7l + 56 = 0
or, l(l - 8) -7(l - 8) = 0
or, (l - 7)(l - 8) = 0
By zero-product law,
Either l - 7 = 0 ⇒ l = 7
Or, l - 8 = 0 ⇒ l = 8.
Substituting these values of l in (i),
b = 15 - l
∴ Either, b = 15 - 7 = 8
Or, b = 15 - 8 = 7.
In both cases, the dimensions of the rectangle are 7, and 8.
∴ The dimensions of the rectangle whose perimeter is 30 meters and whose area is 56 square meters are 7 meters and 8 meters.
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The measures of the angles of a triangle are shown in the figure below. Solve for x.
(9x-3)
(6x+3)
Answer: 2 =
Submit Answer
Write the equation of a line that is parallel to the line 2x - 3y = 5 and passes through the point (3, -1)
Answer:
the answer is 2/3
Step-by-step explanation:
A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of $22. Option B is a commission rate of 8% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
PLEASE HELP
Answer:
We have been given that a salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $25. Option B is a commission rate of 8% on weekly sales.
First of all we will find amount earned by salesperson with option A.
The salespersons earns $1000 through option A.
Let x be the amount of weekly sales.
8% of x should be equal to 1000 for salesman to earn the same amount with the two options.
Therefore, the salesman needs to make a weekly sales of $12,500 to earn the same amount with two options.We have been given that a salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $25. Option B is a commission rate of 8% on weekly sales.
First of all we will find amount earned by salesperson with option A.
The salespersons earns $1000 through option A.
Let x be the amount of weekly sales.
8% of x should be equal to 1000 for salesman to earn the same amount with the two options.
Therefore, the salesman needs to make a weekly sales of $12,500 to earn the same amount with two options.v
Step-by-step explanation:
PLZ HELP DUE IN 10 MIN!! A diagram of a lot of land is shown. The scale on the diagram is 1 cm represents 2.5 yards. What is the perimeter of the actual lot of land?
Help pls I will give you brainliest :)
Answer:
The answer is A so I can confirm this so the person above me is right
Step-by-step explanation:
6 divided by 3/4 using tape diagrams
Answer:
Step 1: Read the entire problem. Students will find themselves reading the story numerous times. Each time will have a different purpose in the model drawing process. Step 2: Turn the question into a sentence with a space for the answer.
helpp!!!!! i don’t know the answer
Answer:
option c because w3-20 substute it
Step-by-step explanation:
please mark me as brainlest
An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 8 IQ points of the true mean. Assume that σ=10and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is
Answer:
sample size = 10
it is not practical because we can't draw a conclusion for a complete population based on the sample size of 10 people
Step-by-step explanation:
mean = 100
standard deviation = sigma = 10
confidence level = 99%
The z-score for 99% confidence level = z = 2.58
mean IQ is within 8 IQ points so:
error = E = 8
sample size = n (we don't know it)
Since the distribution is normal, we can use the formula of margin of error for z-distribution to calculate the missing sample size:
[tex]E = z * \frac{sigma}{\sqrt{n} } \\\sqrt{n} = z * \frac{sigma}{E} \\\\\sqrt{n} = 2.58*\frac{10}{8} \\\\\sqrt{n} = \frac{25.8}{8} \\\\n = (\frac{25.8}{8} )^{2}\\n = 10.4\\[/tex]
next integer rounded is 10
Guys please solve 3-3(2x+1)+8x≥ 3 − 3
Step-by-step explanation:
3-3(2x+1)+8x>=3-3
3-3*2x-3*1+8x>=0
3-3-6x+8x>=0
2x>=0
x>=0
PLZ HELP! Will give brainilest to first correct answer!
Use a factor tree to find the prime factorization of 125. Write the prime factorization using exponents.
A. 3 to the power of 5 • 1
B. 5 to the power of 3
C. 5 • 25
D. 5 to the power of 5
Answer:
B. 5 to the power of 3............
What is the image point of (4, -12) after the transformation rx-axis o D 1/4?
Answer:
(4, 12) is the answer after being reflected over the x-axis
Step-by-step explanation:
=> The x remains the same, the y flips over the x - to be negative
(4, -12) ==>> (4, 12)
--
=> The new point after being reflected over the x-axis is (4, 12) in which is the answer
(4, 12) ==>> Final Solution (Correct)
is y = -2x + 7 a relation or function
Answer:
It is a relation and a function.
Step-by-step explanation:
The domain of y = -2x + 7 is the set of all real numbers (assumed to be).
For each x real, the equation y = -2x + 7, means that exactly one real number is associated with x. Thus, it is a function. We note that a function is a special type of relation.
A firm’s production function is
Q = 50L − 0.01L2
where L denotes the size of the workforce. Find the value of MPL in the case when
(a) L = 1 (b) L = 10 (c) L = 100 (d) L = 1000
The value of MPL for the various cases are;
A) MPL = 49.98
B) MPL = 49.8
C) MPL = 48
D) MPL = 30
We are given;
Q = 50L - 0.01L²
Now MPL means marginal product of labor and it is defined as the derivative of Q with respect to L. Thus;
MPL = dQ/dL = 50 - 2(0.01L)
A) When L = 1;
MPL = 50 - 2(0.01 × 1)
MPL = 49.98
B) When L = 10;
MPL = 50 - 2(0.01 × 10)
MPL = 49.8
C) When L = 100
MPL = 50 - 2(0.01 × 100)
MPL = 48
D) When L = 1000
MPL = 50 - 2(0.01 × 1000)
MPL = 30
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Please answer Omgggg
Answer:
a ) 81
b ) 16807
c ) 1001000000
d ) 78125
Step-by-step explanation:
a )
3^2 x 3^2
= 9 x 9
= 81
b )
7 x 7^4
= 7 x 7 x 7 x 7 x 7
= 16807
c )
10^9 + 10^7
= 1000000000 + 10000000
= 1001000000
d )
5^8 ÷ 5
= 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 / 5
= 5 x 5 x 5 x 5 x 5 x 5 x 5
= 78125
Help please ? Thank you !!
Answer:
(6x+3)=120
6x=120-3
6x=117
x=117/6
x=19.5
(7x-19)=120
7x=120+19
7x=139
x=139/7
x=19.85
want to do G and i only
Step-by-step explanation:
#GA = ℓ × w
A = 8 × 4
A = 32 cm²
#IA = ½ × 5 × 12
A = 5 × 6
A = 30 cm²
#G
L=8cmB=4cm[tex]\\ \sf\longmapsto Area=LB[/tex]
[tex]\\ \sf\longmapsto Area=8(4)=32cm^2[/tex]
#I
B=12cmH=5cm[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}BH[/tex]
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(12)(5)=30cm^2[/tex]
Find the two points of a line
Answer:
we need more context but 2 points on a graph can be (0,0) and (5.5,5.5)
let f(x)=2x^2+7x-5 and g(x)=-8^2-3x+5 what is g(x)+f(x)
Answer:
2x^2 + 4x - 64
Step-by-step explanation:
it is telling us to add the functions together so we use this equation:
2x^2 + 7x - 5 + (-8^2) - 3x + 5
after combining like terms we get
2x^2 + 4x -8^2
and then lastly we square the -8 and get
2x^2 + 4x - 64
Find the angles a,b,c,d
Answer:
Step-by-step explanation:
a=101 c=83 b=79 d=97
hiii can someone help me with this i’m not really good at math and i need some help with this question please
Answer:
√128 units
Step-by-step explanation:
As we move to the right from (-4, -2) to (4, 6), x increases by 8 and y increases by 8 also. Using the distance formula, we get:
d = √(8² + 8²) = √(64 + 64) = √128 units (last answer)
5x-3y=20 line paralelal
Answer:
Answer is in the attachment..............
Step-by-step explanation:
a person spent 3/5 of vacation in new york state. while in new york state, the person spent 1/2 of that time in new york city. what fraction of vacation, the person spent in new york city ? if the vacation lasted 20 days how many days did the person spend in new york city?
Answer:
6 days
Step-by-step explanation:
6/10 in ny
5/10 in NYC
20 total
3/5 or 20=12
12/2=6
James scored 61, 51, 64, and 68 on four tests. What must he score on the next test to have a 60 average in the courses? Explain.
Answer:
56
Step-by-step explanation:
61 + 51 + 64 + 68 + 56 = 300
300 / 5 = 60
PLEASE HELP WITH THESE QUESTIONS
1) What are the three forms of quadratic functions?
2) For each of the three forms, when would it be most convenient to have the function in that form?
3) Create a quadratic function in one of the forms and show how to convert it to another one of the three forms.
Answer:
I only know number 1
vertex form, standard form and factored form
Olmec trading
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
reached across much of Mesoamerica
(Choice B)
B
was confined to the cities of San Lorenzo and La Venta
(Choice C)
C
only dealt with agricultural products
Answer:
Answer A
Step-by-step explanation:
It was a large trading spot and was made to trade long distances, so therefore it wasn't confined to the cities of San Lorenzo and La Venta, and had more variety than agricultural products.
Hence Answer A
I hope this helped!
Brianliest if it did? No pressure!
Have a great day :D
What is the image of the point (7,4) after a rotation of 90° counterclockwise about
the origin?
Answer:
When rotating a point 90 degrees counterclockwise about the origin the point (7,4) becomes (-4,7).
Step-by-step explanation:
In other words, just switch x and y and make y negative.
The point will be inverted when (7,4) is rotated 90° counterclockwise i.e., the new point will be (4,7).
It is given that a point (7,4) is rotated 90° counterclockwise about origin.
We have to find the new point after rotation.
What do you mean by rotation counterclockwise ?
If something is moving counterclockwise that meant it is moving in the opposite direction to the direction in which the hands of a clock move.
As per the question ;
A point (7,4) is rotated of 90° counterclockwise about origin.
Let's assume (7,4) = (x , y)
If we rotate it 90°counterclockwise ; then the point will be inverted ; i.e.,
(x , y ) ⇒ ( y , x)
So ;
( 7 , 4 ) = ( 4 , 7 )
So ;
The new point will be ;
= ( 4 , 7 )
Thus , the point will be inverted when (7,4) is rotated 90° counterclockwise i.e., the new point will be (4,7).
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What is the quotient?
703515
The quotient between 7035 and 15 is of 469.
What is the question?The questions asks the quotient between two numbers, which are 7035 and 15.
How to find the quotient between two numbers?The quotient between two numbers, a and b, is given by the division of a by b, that is:
q = a/b.
In this problem, we want to find the quotient between 7035 and 15, hence the division is:
7035/15 = 469.
The quotient between 7035 and 15 is of 469.
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which color is it?? please help me
Answer:
It's the first one the royal blue one
Step by step explanation:
I used an app called desmos to plot the equation and the points it needed to pass through on a graph.
need help on homework plz :)
Answer:
i believe it is the first option
Step-by-step explanation:
Which table represents a linear function?