Answer:
Step-by-step explanation:
Let the area of the rectangle be Length × width
LW = 8000
If the diagonal is 10feer greater than one of its length then:
D = 10+L
Diagonal is represented using the Pythagoras theorem as shown:
D² = L²+W²
(10+L)²= L²+W²
100+20L +L² = L²+W²
From LW = 8000
W = 8000/L
100 + 20L = (8000/L)²
100 +20L = 64,000,000/L²
Cross multiply
100L² + 20L³ = 64,000,000
2L³+10L² = 6,400,000
L³+5L² = 3200000
L³+5L² -3200000 = 0
Answer:
55 ft by 146 ft
Step-by-step explanation:
Given the following :
Area of rectangle = 8000 ft^2
Area of rectangle = length(L) * width(W)
Let length of a side = x
Length of side 2 = 8000 / x
Diagonal = 10 feet longer than one side = (x + 10)
The diagonal is the hypotenus = (x + 10)²:
Hyp² = (8000/x)² + x²
(x + 10)² = (8000/x)² + x²
x² + 20x + 100 = 64,000,000 / x² + x²
20x + 100 = 64,000,000 / x²
(20x + 100) * x² = 64,000,000
20x³ + 100x² - 64,000,000 = 0
x³ + 5x² - 3200000 = 0
Using calculator
x = 145. 71 = 146 ft
8000 / x
8000/145.71
= 54.9 ft
= 55ft
55ft by 146 ft
Which equation represents a line which is perpendicular to the line
6x + 7y = -42?
Somebody please help?
Answer:
y = [tex]\frac{7}{6} x - 5[/tex]
Step-by-step explanation:
Given expression:
6x + 7y = -42
To find an equation perpendicular to this, it implies the slope must be a negative inverse of the given one.
Solution:
Equation of any straight line is given as;
y = mx + c
where x and y are the coordinates
m is the slope
c is the intercept
Let us now find the slope of the line;
6x + 7y = -42
7y = -6x - 42
divide through by 7 to give;
y = [tex]-\frac{6}{7} x[/tex] - 6
The slope is [tex]-\frac{6}{7}[/tex]
A line perpendicular will have a slope of a negative inverse;
- ( [tex]-\frac{7}{6}[/tex] ) = [tex]\frac{7}{6}[/tex]
The answer is A.
Do rozwiązania są następujące zadania tekstowe:
Luca ma kilka 10-centówek oraz kilka 5-centówek. Razem ma 40 monet, o wartości
3.15 Euro. Ile monet każdego rodzaju ma Luca?
d = liczba monet 10-centowych
p = liczba monet 5-centowych
Razem, Luca ma 40 monet:
d + p = 40
Jedna 10-centowa moneta ma wartość 10 centów, i jedna 5-centowa ma wartość 5 centów, więc
10d + 5p = 315
bo 3,15 euro = 315 centów.
Znajdź d i p :
(10d + 5p) - 5(d + p) = 315 - 5•40
5d = 115
d = 23
d + p = 40
23 + p = 40
p = 17
Which figure has reflection symmetry?
Answer:
the arrow :)
Step-by-step explanation:
y = 4x - 5 and (3,4) (7, 3) A. parallel B. perpendicular D. neither
Answer:
The lines are perpendicular. Option B.
Explanation:
Equation of the Line
One of the characteristics of the line is its slope. It can be determined in two ways:
* From the equation y=mx+b, the m is the slope. The given equation is y=4x-5. Thus, the slope of this line is m=4.
* Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The points are (3,4) and (7,3), thus the slope is:
[tex]\displaystyle m=\frac{3-4}{7-3}=-\frac{1}{4}[/tex]
A. For two lines to be parallel, their slopes must be equal. Since m1=4 and m2=-1/4, the lines are not parallel. Incorrect
B. For two lines to be perpendicular, their slopes must meet the condition:
[tex]m1*m2=-1[/tex]
4*(-1/4)=-1
Both lines are perpendicular. Correct choice
D. Since choice B. is correct, this cannot be true. Incorrect
EASYYYY POINTS. PLEASE HELP
1. a)
2x + (-3)
_______________
x | 2x² | -3x |
+ _______________
1 | 2x | -3 |
-----------------------------
(2x - 3) (x + 1) = 2x² - 3x + 2x - 3 = 2x² - x - 3
b)
x + 2
____________
x | x² | 2x |
____________
3 | 3x | 6 |
-----------------------
(x + 2) (x + 3) = x² + 2x + 3x + 6 = x² + 5x + 6
D(-3,4) E(7, 6) 1:3
Answer:d
Step-by-step explanation:
you have $40 to spend on n gallons of gas that costs $3.25 per gallon.
Answer:
You can buy 12 gallons of gas.
Step-by-step explanation:
I took 40 and 3.25, then divided them.
I got a very large ugly decimal. When simplified it is 12.
Any number raised to the zero power is one.
what is the rule for multiplying power is numbers
4/12 equals how many thirds?
a. 0/3
b. 1/3
c. 2/3
d. 4/3
Answer:
noshe
Step-by-step explanation:
Between what two integers is the square root of 56.25?
Answer:
7 and 8
Step-by-step explanation:
Calculate the square root and you get 7.5 The number 7.5 is in-between the numbers 7 and 8. Hope this helps
this is for my lil sis. "Round 13.989 to the nearest tenth" to lazy to answer it for her
Answer:
14.0
Step-by-step explanation:
when rounded to the nearest tenth, 13.989 is 14.0.
Answer:
Hey!
Your answer for your lil' sis is 14!
Step-by-step explanation:
The tenth column is the column directly after the decimal point...
GREATER THAN 5 = Round up...
LESS THAN 5 = Round down...
So in this case it is 9 SO WE ROUND UP
This makes it 14.0
I HOPE THIS HELPEDMrs. Martz is travelling to 300 miles to Florida
for a vacation. She has already travelled 60% of
the trip. How many miles has she gone?
Answer:
180 miles
Step-by-step explanation:
Daniel buys a swing set priced at $788. If the sales tax is 7%, how much tax will Daniel pay? Submit
Answer:
he will pay 55.16
The tutor charges $40 plus $30 for each student in the group. Today the tutor has works with a group of students students and charges a total of $220.
give me an example of irrational between 4 and 5
Answer:
√17, √18,√19,√20,√21,√22,√23 ,√24
Step-by-step explanation:
what is 200+6870?it is a math question and I don't know it I'm in 8th grade.
Answer:
it is 7,070 because you just add
Help please anyone I really need it.
Answer:
[See Below]
Step-by-step explanation:
[tex]Hey~There![/tex]
______________________
➜ To solve this, we have to subtract:
[tex]100-13=87[/tex]➜ To make sure we are correct, we add:
[tex]87+13=100[/tex]______________________
So your answer would be [tex]\bold~x=87[/tex].
______________________
[tex]Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane[/tex] ヅ
What is the answer to this question please answer will make Brainly
Answer:
BIG Bs
Step-by-step explanation:
What number is 1% of 37.25
Answer:
1% of 37.25=0.3725
Maria had a baby last week. She weighed 12 pounds at the time of birth. She weighs 1 1/2 pounds more each week. If Maria’s baby continues to grow like this, how much will she weigh after 26 weeks?
Answer:
27 she will weigh
Step-by-step explanation:
just 26+1=27
Alexis opened a savings account with a $120 deposit. Each week she will put $20 into the account. The equation that gives the total amount t in her account is t 120 20w, where w is the number of weeks since she opened the account. How much money will Alexis have in her savings account after 5 weeks?
Answer:
The amount of money Alexis will have in her savings account after 5 weeks is $ 220.
Step-by-step explanation:
The equation that gives the total amount t in her account is t=120+20w, where w is the number of weeks since she opened the account.
To calculate the amount of money Alexis will have in her savings account after 5 weeks, you replace the number of weeks w since she opened the account by 5:
t=120+20*5
Solving, you get:
t=120+100
t=220
The amount of money Alexis will have in her savings account after 5 weeks is $ 220.
32 ounces of maple syrup for $3.99 OR 48 ounces of syrup for $4.99
Answer:48-32=16 so you get 16 more oz. of maple syrup for $1 more so the answer is 48 ounces for $4.99.
Step-by-step explanation:
A truck can be rented from Company A for $100 a day plus $0.60 per mile. Company B charges $30 a day plus $0.80 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
80+ 0.3x = 60 + 0.4x
20 = 0.1x
x = 200
Therefore, at 150 miles, the best deal changes companies
Step-by-step explanation:
How to solve 2y-6x=2
Please provide steps only. lol
Answer:
y-x = -6
Step-by-step explanation:
Ok so you have 2y-6x=2
step 1: when you add 6 to 6x it cancels out the 6 then subtract 2 by six and get 2y-x=-4.
step 2: when you add 2 to 2y it cancels out the 2 then subtract -4 by two and get your answer.
i hope this helped
4b-3b+7=10 Solve for b.
Answer:
b = 3
Step-by-step explanation:
Simplify 4b - 3b + 7 = 10
b + 7 = 10
Subtract 7 from both sides
b = 10 -7
Simplify 10 -7 to 3
b = 3
Hope this helps!
-Jerc
PLEASE HELP!!! 20 BRAINLIST
Look at points C and D on the graph:
A coordinate plane graph is shown. Point C is at negative 5 comma negative 1. Point D is at 0 comma 3. A segment connects the two points.
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
5.50 units
6.40 units
9.00 units
41.00 units
Answer:
Im pretty sure its 6.40 units
Step-by-step explanation:
Solve the inequality. 1/2 (8x − 2) − 2/3 (9x + 3) ≤ 8
Answer:
x ≥ -11/2
Step-by-step explanation:
Step 1: Write inequality
1/2(8x - 2) - 2/3(9x + 3) ≤ 8
Step 2: Solve for x
Distribute: 4x - 1 - 6x - 2 ≤ 8Combine like terms: -2x - 3 ≤ 8Add 3 to both sides: -2x ≤ 11Divide both sides by -2: x ≥ -11/2Is the line x=-3 parallel to the line y=1/3
Answer:
No, The line x = 3 is not parallel to the line y = 1/3
Step-by-step explanation:
Here's What the graph looks like on Demos graphing calculator.
High Hopes^^
Barry-
When I was riding 50 feet I drove back 20 feet how much feet did I ride ..... :( respond back as soon as possible
What is the value of gC4 ? 6561 3024 36 126
Answer:
d) 126
Step-by-step explanation:
I just answered this question and got it right
Answer:
126
Step-by-step explanation:
Got it right on the test.
