Answer:
9 in × 5 in
Step-by-step explanation:
the area of a rectangle :
length × width
and this is 45 in² in our case.
the perimeter of a rectangle is
2×length + 2×width
and this is 28 in in our case.
l×w = 45
l = 45/w
2×l + 2×w = 2×(45/w) + 2w = 28
45/w + w = 14
45 + w² = 14w
w² - 14w + 45 = 0
the general solution to such a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = w
a = 1
b = -14
c = 45
w = (14 ± sqrt((-14)² - 4×1×45))/(2×1) r
= (14 ± sqrt(196 - 180))/2 = (14 ± sqrt(16))/2 =
= (14 ± 4)/2 = 7 ± 2
w1 = 7 + 2 = 9 in
w2 = 7 - 2 = 5 in
l1 = 45/w1 = 45/9 = 5 in
l2 = 45/w2 = 45/5 = 9 in.
so, we see, length and width are interchangeable. it is only important to make one 9 in and the other 5 in.
Find the square. Then simplify your answer.
Answer:
4a²-8a+4
Step-by-step explanation:
[tex](2a-2)^{2} =(2a-2)(2a-2)[/tex]
[tex](2a-2)(2a-2) = 4a^{2} -4a-4a+4[/tex]
[tex]4a^{2} -4a-4a+4=4a^{2} -8a+4[/tex]
Classify the triangle shown below. Check all that apply.
Answer:
A and B
Step-by-step explanation:
A. Since 2 angles are congruent you know that there has to be 2 equal sides
B. It has an obtuse angle which is 100 degrees.
C. Triangle has 2 congruent sides so this is incorrect
D. Not all sides are equal
E. Not all angles are acute
F. None of the angles are 90 degrees
Use the function f(x) = x2 − 2x 8 and the graph of g(x) to determine the difference between the maximum value of g(x) and the minimum value of f(x). a parabola that opens down and passes through 0 comma 3, 3 comma 12, and 5 comma 8 2 5 7 12
The difference between the maximum value of g(x) and the minimum value of f(x) is 5.
Given function is:
[tex]f(x)=x^{2} -2x+8[/tex]......(1)
What is the general form of a quadratic equation?The general form of a quadratic equation is [tex]ax^{2} +bx+c=0[/tex] with [tex]a\neq 0[/tex].
As we know the minimum value of a quadratic function is [tex]\frac{4ac-b^{2} }{4a}[/tex] when a>0
For f(x) a>0 so minimum value of f(x) = [tex]\frac{4*1*8-(-2)^2}{4*1}[/tex]=7
From the graph, the maximum value of g(x) =12
So, the difference between the maximum value of g(x) and the minimum value of f(x) =12-7 =5
Hence, the difference between the maximum value of g(x) and the minimum value of f(x) is 5.
To get more about quadratic functions visit:
https://brainly.com/question/1214333
Helllllp!!!! Will Mark Brainliest!!!
Answer:
from my side it's blurry
If 140 people were surveyed how many preferred crab? /////Show your work!
[tex]\qquad\qquad\huge \: \sf Answer[/tex]
Number of people who prefer crabs are :
[tex] \\qquad \tt \dashrightarrow \:{30\% \:\: of \:\: 140} [/tex]
[tex]\qquad \tt \dashrightarrow \: \dfrac{30}{100} \times 140 [/tex]
[tex]\qquad \tt \dashrightarrow \:3 \times 14[/tex]
[tex]\qquad \tt \dashrightarrow \:42 \: \: people[/tex]
if x varies directly with y and x=-19 when y=14 what is x when y=2
The variation from x to y is an illustration of a direct variation
The value of x when y = 2 is -19/7
How to determine the value of x?The variation is a direct variation.
So, we have:
x = ky
Where k represents the constant of variation
Make k the subject
k = x/y
This gives
x1/y1 = x2/y2
So, we have:
-19/14 = x/2
Multiply both sides by 2
x = -19/14 * 2
Evaluate
x = -19/7
Hence, the value of x when y = 2 is -19/7
Read more about direct variation at:
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A. >
B. <
C. =
D. none of the above
Answer:
i think the answer is >
Step-by-step explanation:
Hoped this helped
pls tell me if im wrong
Answer:
b
Step-by-step explanation:
You have to turn the scientific notation into standard form and compare the 2 and it comes into 8200 and 460000 and 8200 is less than 460000.
Number 18. Please?!!!!
Answer:
The womans age is 25
mothers age is 50
Step-by-step explanation:
add those up and you get 75
Answer:
The woman is 25, and her mother is 50.
Step-by-step explanation:
The woman is half the mother's age.
That means the mother is twice the woman's age.
Let the woman's age be x
The mother's age is 2x.
The sum of the ages is 75.
x + 2x = 75
3x = 75
x = 25
2x = 2(25) = 50
Answer: The woman is 25, and her mother is 50.
Find the volume - PLSS HELPP AND HURRY PLS
Answer:
264
Step-by-step explanation:
(11 x 6)/2 x 8 = 264
B x h = V
A trapezoid has bases that measure 9 cm and 5 cm. The height of the figure is 4 cm. What is the area of the
trapezold?
O 28 cm?
O 36 cm
45 cm?
O
90 cm?
Answer: 28 cm.
Step-by-step explanation: To find the area of trapezoids, you need to add base 1 and base 2, multiply the height, and divide it all by 2. The work is done below:
b1 + b2 x h / 2, where b1 and b2 are the bases and h is the height.
5 + 9 x 4 / 2 = ?
Step 1 (Add): 5 + 9 = 14.
Step 2 (Multiply): 14 x 4 = 56.
Step 3 (Divide): 56 / 2 = 28.
Therefore, 28 cm is your answer.
Hope this helps! :)
I need help now please!!!
[tex] \tan(60) = \frac{x}{ \sqrt{7} } [/tex]
[tex] \sqrt{3} = \frac{x}{ \sqrt{7} } [/tex]
[tex]x = \sqrt{21} [/tex]
[tex]\frak{\fcolorbox{black}{pink}{Black Pink in your area$~$}}[/tex] ~←(>▽<)ﾉ
Answer:
√21
Step-by-step explanation:
30, 60, 90 triangle
Across from 30 is a, across from 60 is a√3
So, √7√3 is √21
pls help me find the answer to this i am working out on it but am confused also giving brainly no links pls.
Answer:
5/72
Step-by-step explanation:
I am pretty sure its right
$1500 at 8.5% for 6 months. What is the interest?
Answer:63.75
Step-by-step explanation: 1500x0.085x0.5=63.75
What is the value of z so that -3 and 3 are both solutions of x2 + z = 25?
0 41
016
09
o 22
Answer:
I think it is B (16)
Step-by-step explanation:
Which answer choice correctly represents an algebraic expression for the quotient of a number and 8?
A 8j
B 1:8
C 3-8
D
8+j
Help mee please
Answer: [tex]j \div 8[/tex]
We're dividing unknown number j over 8
We can write it as [tex]\frac{j}{8}[/tex] similar to how [tex]\frac{3}{4} = 3 \div 4[/tex]
The quotient is the result of a division problem (there may or may not be a remainder).
Someone please help!!!!
Answer:
=
Step-by-step explanation:
quadratic values always set to 0 due to the x-intercept which you find from the equation
Sheila is biking at a constant speed. She travels 54 meters in 9 seconds.
How long in seconds would it take Sheila to travel 90 meters at this speed?
Enter the number in the box.
Which proportional line has the smallest slope?
Question 14 options:
y= 8x
y=2x
y= .75x
y=.256x
Answer: y=.256x
Step-by-step explanation:
This line has the smallest coefficient for x.
Write a two-column proof on a space provided
Answer:
Step-by-step explanation:
The length of a rectangle is 9 ft and width is 7 ft. Find its perimeter and area
Answer:
Perimeter of rectangle = 32 feet Area of rectangle = 56 ft²Step-by-step explanation:
Given :-
Length of rectangle = 9 feet Width of the rectangle = 7 feetTo Find :-
Perimeter and areaSolution :-
We know that,
Perimeter of rectangle = 2(L + W)Substituting the values, we get:
↠ Perimeter = 2(9 + 7)
↠ Perimeter = 2(16)
↠ Perimeter = 32 feet
Now,
Area of rectangle = Length × WidthSubstituting the values, we get:
↠ Area = 9 × 7
↠ Area = 56 ft²
Hence,
Perimeter of rectangle = 32 feet Area of rectangle = 56 ft²6. A number solid with faces labeled 1 through 16 is rolled. What is the probability that the number 16 will appear facing up when the solid is rolled? Record the answer as a simplified fraction.
Answer:
1/16 chance that it will land on 16 because there are 16 faces
Answer:
1/16.
Step-by-step explanation:
That will be 1 chance in 16.
pls help me !!
a sector of a circle has a central angle measure of 90°, and an area of 7 square inches. what is the area of the entire circle?
area of the circle = __ square inches
Step-by-step explanation:
area of circle - pie x r x r
22/7 x 7/2 x 7/2 ( 7 as diameter because it's straight line passing through centre)
77/2 is the sq inches
use the distribute propty to write an expression that is equlavent to 8
Answer:
8(a+4)=8a+32
Step-by-step explanation:
the function f(x) is defined by f(x)=3x. the inverse of f(x) is g(x) what is g(12)
Answer:
answer is 4
have a nice day
I don't know how to answer this, please help!
Which is the recursive formula for this arithmetic sequence? an = an – 1 7 where a1 = –10 an = an – 1 17 where a1 = –10 an = 7an – 1 - 17 where a1 = –10 an = an – 1 – 7 where a1 = –10.
Answer: 1. 10
2. an = an - 1 + 7 where a1 = -10
Step-by-step explanation:
Answer: A. an = an – 1 + 7 where a1 = –10
Step-by-step explanation:
Solve for X please! Include small explanation as-well
Answer:
x = 26
Step-by-step explanation:
Take the sides in proportion.
7/56 = 8/(2x - 4 + 8)1/7 = 8/(2x+4)2x + 4 = 8(7) = 562x = 52x = 26How much should be invested at 7% compounded daily for 15 years to make $200,000?
The amount of money that should be invested at 7% compounded daily is $199,421.68.
How to calculate compound interest.Mathematically, compound interest is given by this formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Where:
A is the future value.P is the principal.R is the interest rate.T is the time measured in years.n is the number of times compounded.Given the following data:
Future value = $200,000.
Interest rate = 7% = 0.07.
Time = 15 year.
Substituting the given parameters into the formula, we have;
[tex]200000=P(1+\frac{0.07}{365} )^{ 15}\\\\200000=P(1+0.00019)^{15}\\\\200000=P(1.00019)^{15}\\\\200000=1.0029P\\\\P=\frac{200000}{1.0029}[/tex]
P = $199,421.68.
Read more on interest here: brainly.com/question/24341207
An auditorium has rows of seats with a seats in each row Kayla
knows there are at least 70 seats but fewer than 156 seats in the
auditorium. How many rows of seats can there be in the auditorium
Use Exercises 1-a to answer the question
1. Explain how you would find the least possible number of rowe
in the auditorium
2. How would you find all the possible numbers of rows, without
having to check if & is a factor of every number between
70 and 1507
3. Name all the possible numbers of rows in the auditorium,
Step-by-step explanation:
Note: there is a typo, 'a' should be '8'The number of seats in each row is 8 and the total number of seats is between 70 and 150.
Let x be the number of rows, then we have the inequality:
70 ≤ 8x < 156Divide all sides by 8 to get:
70/8 ≤ x < 156/89 ≤ x ≤ 19 (taking closest integers)So the number of rows is between 9 and 19 both inclusive.
All possible number of rows
9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19Answer:
1. 9 rows
2. see below
3. 9, 10, 11, 12, 13, 14, 15, 16, 17, 18
Step-by-step explanation:
Please note that I believe there are typing errors in the question and that the given information should be:
8 seats in each rowAt least 70 seatsLess than 150 seatsQuestion 1
To determine the least possible number of rows in the auditorium, divide the least number of seats by the number of seats in a row:
⇒ 70 ÷ 8 = 8.75
As the answer is a decimal, round it up to the nearest whole number.
Therefore, the least possible number of rows in the auditorium is 9 rows.
Question 2
Find the greatest number of rows by dividing the greatest number of seats by the number of seats in a row:
⇒ 150 ÷ 8 = 18.75
As there should be fewer than 150 seats we cannot round the number up (as this would make there be more than 150 seats), so instead must round it down to 18.
Therefore, the greatest number of rows in the auditorium is 18 rows.
Question 3
As we have found the least number of rows in question 1 and the greatest number of rows in question 2, all we need to do is list all the numbers between (and including) these numbers.
Therefore, all the possible numbers of rows in the auditorium are:
9, 10, 11, 12, 13, 14, 15, 16, 17, 18
How much will Audrey earn if she earns $13.00 for each hour worked , works 43 hours, and has payroll deductions of $167.70?
Answer:
391.3
Step-by-step explanation:
13x43=559
559-167.70=391.3
