Answer:
Width = 10ft
Length = 12ft
Step-by-step explanation:
For a rectangle of length L and width W, the area is calculated as:
A = L*W
In this case, we know that:
The area is 120 ft^2.
The length is 2 ft more than the width.
Then we can write:
L = W + 2ft.
If we use these two equations and replace them in the equation for the area of a rectangle, we get:
A = 120ft^2 = W*L = W*(W + 2ft)
120ft^2 = W*(W + 2ft)
Now we can solve this for W
120 ft^2 = W^2 + 2ft*W
Now we can rewrite this as:
W^2 + 2ft*W - 120ft^2 = 0
The solutions of this equation can be found by the Bhaskara's formula.
We know that for an equation of the form:
a*x^2 + b*x + c = 0
The two solutions are given by:
[tex]x = \frac{-b +\sqrt{b^2 - 4*a*c} }{2*a}[/tex]
in our case, we have:
a = 1
b = 2ft
c = -120ft^2
Then the solutions for the equation W^2 + 2ft*W - 120ft^2 = 0 are:
[tex]W = \frac{-2ft + -\sqrt{(2ft)^2 - 4*1*(-120ft^2)} }{2*1} = \frac{-2ft +- 22ft}{2}[/tex]
Then the two solutions are:
W = (-2ft - 22ft)/2 = -12ft (this is a negative measure, does not have a real meaning in this case, so this solution can be discarded)
The other solution is:
W = (-2ft + 22ft)/2 = 10ft (this is the correct solution)
Then the width is 10ft, and we know that the length is 2 ft longer than the width, then the length is:
L = W + 2ft = 10ft + 2ft = 12ft
Alan buys a book that is on sale.
He writes the expression 0.7b to show the percent of the original cost of the book, b, that he pays.
He rewrites the expression as b−0.3b.
Which statement explains why Alan rewrites the expression?
He receives another discount on the book.
He buys another book with a different discount.
He wants to show by what percent the book was discounted.
He wants to show what percent of the original price he paid.
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Here you go it is here now
Answer:
40+10=50
40+-15=25
40+-30=10
40+-40=0
40+-50=-10
20+-25=-5
Step-by-step explanation:
in this order
Answer:
40+10=50
40+-15=25
40+-30=10
40+-40=0
40+-50=-10
20+-25=-5
Step-by-step explanation:
the other guy had it right.
h2 + 7h + 10 = 0
Help please
Answer:
-2, -5
Step-by-step explanation:
h2 + 7h + 10 = 0
h^2 +7h + 10 = 0
h^2 +2h +5h + 10 = 0
h(h+2) + 5(h+2) = 0
h+2 = 0 or h+5 = 0
h = -2 or h = -5
A mailbox that is 4 1/2 feet tall casts a shadow that is 6 feet long. At the same time, a nearby ferris wheel casts a shadow 84 feet long. Find the height of the ferris wheel.
60 feet
Answer: 63 ft
Step-by-step explanation:
We can think of the shadow and height of objects as the catheti of a triangle rectangle.
We also know the relationship:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
if we define:
Tan(θ) = k (a real number, such that will be the same number for every object, because it depends on the angle θ that will depend on the position of the sun)
opposite cathetis = heigt.
adjacent cathetus = length of the shadow.
Then we have:
k = height/length of the shadow.
For the mailbox, we know that the height is (4 + 1/2) ft and the shadow is 6ft long, then we have the equation:
k = (4 + 1/2)ft/6ft = 0.75
Then for the ferris wheel we know:
shadow length = 84ft
we can write the same equation as above:
k = 0.75 = height/84ft
0.75*84ft = height = 63ft
The ferris wheel is 63 ft high.
Answer:
63 feet
Step-by-step explanation:
Trust me got it right
Write the following equation symbolically.
The product of 7 and w is 8 times the sum of 2 and x.
Answer:
7w=8(2+x)
Step-by-step explanation:
You invest $1,000 in an account with 6 % interest, compounded annually. Assume you do not touch the money or add money other than the earned interest.
How much money will you have in the account after 10 years?
(A) $ 1790.85
(B) $ 109951.16
(C) $ 538.62
(D) $ 1600
Answer:
A) 1790.85
Step-by-step explanation:
Hi there!
In order to solve this problem, you’ll need to use the compound interest formula [tex]x = p(1 + \frac{r}{n} )^n^t[/tex]
p will be your principle, or starting amount, which is 1,000.
r will be your percentage, which is 0.06.
n will be the amount of times interest is compounded, since this question says compounded anually, your compound will be 1.
t is the time in years it is compounded, which is 10.
When the numbers are plugged in, we get [tex]x = 1,000(1 + \frac{0.06}{1})^1^0[/tex]
When we solve for this, we get 1790.85.
Hope this helps! :)
The slope of a line is 2, and the y-intercept is 0. What is the equation of the line written in slope-intercept form?
Answer:
y=2x+0
Step-by-step explanation:
y=mx+b
y=(slope)x+(y-intercept)
y=2x+0
Answer:
y = 2x
Step-by-step explanation:
y = mx + b
m = slope
b = y intercept
y = 2x + 0
Therefore, the equation is y = 2x.
If g(x)= x+1/X-2
and h(x) = 4 – x, what is the value of (gºf)(-3) ?
a. 8/5
b. 5/2
c. 15/2
d. 18/5
*HELP I will mark brainliest*
A dog is tied with a rope to a stake in the ground. The length of the rope is 10 yards.
What is the area, in square yards, in which the dog can roam?
1) 1001
2) 100x yd.2
3) 100 yd.2
4) 20ryd.
Answer:
i think it is number 1
Step-by-step explanation:
Quadrilateral ABCD has the following vertices:
A(-3,0)
B(7,2)
C(1,-4)
D(-9,-6)
Is quadrilateral ABCD a parallelogram, and why?
Answer: yes
Step-by-step explanation:
Answer:
yes because AB II CD and BC II AD
Step-by-step explanation:
Quadrilateral ABCDABCDA, B, C, D has the following vertices:
A(-3,0)A(−3,0)A, left parenthesis, minus, 3, comma, 0, right parenthesis
B(7,2)B(7,2)B, left parenthesis, 7, comma, 2, right parenthesis
C(1,-4)C(1,−4)C, left parenthesis, 1, comma, minus, 4, right parenthesis
D(-9,-6)D(−9,−6)D, left parenthesis, minus, 9, comma, minus, 6, right parenthesis
Is quadrilateral ABCDABCDA, B, C, D a parallelogram, and why?
I got it right on khan academy
7 Evaluate
9.3 – 3.41
Answer:
Answer is 5.89
Step-by-step explanation:
Here,
Solution
9.3 - 3.41
=5.89
Find the length median of the trapezoid( 20 points and brainliest if answered)
Answer:
1.=8.1
2.=10.4
Step-by-step explanation:
Someone help me with this
Answer:
-2
Step-by-step explanation:
-10 + 3 = -7
please help me answer the questions
Select the correct answer.
Tia made a scale drawing of the White House for her history project. The actual length of the building is 168 feet, and its width (with porticoes) is 152 feet. If the scaled length of the building in the drawing is 21 inches and the width is 19 inches, what scale did Tia use to make the drawing?
A.
1 inch to 6 feet
B.
1 inch to 7 feet
C.
1 inch to 8 feet
D.
1 inch to 9 feet
E.
1 inch to 10 feet
Answer:
c
Step-by-step explanation:
Answer:
C. 1 inch to 8 feet
Step-by-step explanation:
168 / 21 = 8
152 / 19 = 8
Hence, the answer is C.
Please mark as Brainliest!!!To solve 5/7 - 2/n = 1/21
Answer:
-2/n=1/21-5/7
-2/n= -2/3
cross multiple
-2×3=n×-2
-6/-2=-2n/-2
n=3
Can u create an equation for a line parallel to the given line that passes through the origin?
Solve for x
37 points for answer :)
Answer:
x=19
Step-by-step explanation:
x+35=54
54-35=19
x=19
If you start a bank account with $100 and you deposit $25 each month, what equation
correctly represents this situation?
Step-by-step explanation:
so you start with $100
every month you get $25
so you could call $25 n
so every month you get n added to the bank account
so you could call the $100 s (which represents start)
and do s+n for every month and if you need to show that for a year then:
s+(nx12)
What is [tex]12\sqrt1248[/tex]
Step-by-step explanation:
[tex] \sqrt[12]{1248} = 1.811414676[/tex]
The set of all real numbers between 2 and 5, including 2
Answer:
3
Step-by-step explanation:
There are 16 girls and 18 boys in a class. The teacher chooses a student's name at random to answer a question.
What is the probability that the teacher chooses a girl to answer the question?
A. 1/34
B. 1/16
C. 8/17
D. 8/9
Answer:
It would be 1/34 or 1/16.
Step-by-step explanation:
Add up how many kids there are in total and then see how many girls there are and write it like this: 18/34. Since it says a girl then you would do it as 1/34 or 1/16 it depends on how you look at it and or how you understand what the question is talking about.
the length of a rectangle is 7m more than its width.If the width is 3m,determine the perimeter and the area
Answer:
Step-by-step explanation:
To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.
3cm, b=3(m, calculate C
B
b. a. 7m, b: 8cm, calculate
-113
c
4. Trangle ABC haw AB = AC
BC = 10 and 2 BAC 90° calculate
the longth of side AB and Ac
to the neareut milimetre
90°
10
X
10
5
ow-90°
TO
OD Hub
cow-45 /
10
y = tans
0.5810
Answer:
The Answer is C
Step-by-step explanation:
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20 less than 5 times a number is 85. What is the number
Answer: I don’t understand the question??
Step-by-step explanation: Can you say the question again like the same way the homework does
PLEASE HELP !! Select all the correct answers.
Janine needs to calculate the value of log12 81
Which expressions could she input into her calculator to find this value?
Answer: In 81/ In 12 AND log 81/log 12
Step-by-step explanation: PLATO ANSWER I got 100%
To solve the problem we must know about the change of base rule for Logarithm.
What is the change of base rule for Logarithm?The change of base rule for Logarithm helps us to change the base of any logarithmic expression to any other logarithmic expression.
[tex]log_ab = \dfrac{log_x b}{log_x a}[/tex]
where x is any base.
The expression can be expressed as [tex]\dfrac{log\ 81}{log\ 12}[/tex].
Given to us
[tex]log_{12}81[/tex]Change of base rule[tex]log_{12}81\\[/tex]
use the change of base rule, [tex]log_ab = \dfrac{log\ b}{log\ a}[/tex],
[tex]log_{12}81=\dfrac{log\ 81}{log\ 12}[/tex]
Hence, the expression can be expressed as [tex]\dfrac{log\ 81}{log\ 12}[/tex].
Learn more about Logarithm:
https://brainly.com/question/7302008
find x please!!
a.10
b.32
c.116
d.16
9514 1404 393
Answer:
(d) 16
Step-by-step explanation:
Angles opposite sides of the same measure are congruent. Here, the triangle is isosceles, so the base angles are congruent:
2x = 32
x = 16 . . . . . . divide by 2°
Find two consecutive odd integers such that their product is 71 more than 7 times their sum
Answer:
iyt 71x7 which would be 497
What is the value of X?
Answer:
A,
x = 81
Step-by-step explanation:
Please help me with my acellus
Answer: x = 32°
Step-by-step explanation:
(3x - 4) + (3x - 8) = 180
3x - 4 + 3x - 8 = 180
6x - 12 = 180
6x - 12 + 12 = 180 + 12
6x = 192
6x ÷ 6 = 192 ÷6
x = 32