[tex]\text{Given that,}\\\\ab = 8 ~ \text{and}~ a^2 +b^2 = 35\\\\\text{Now,}\\\\(a-b)^2 = a^2 +b^2 -2ab\\\\\implies (a-b)^2 =35 - 2 (8) \\\\\implies (a-b)^2 = 19\\\\\implies a-b = \pm\sqrt{19}\\\\\text{Case 1:}\\\\(a-b)^3 = (a-b)^2(a-b)\\\\\implies (a-b)^3 = 19 \left(\sqrt{19}\right)\\\\\text{Case 2:}\\\\(a-b)^3 = (a-b)^2(a-b)\\\\\implies (a-b)^3 = -19 \left(\sqrt{19}\right)[/tex]
Write an equation you could use to find the length of the missing side of the right triangle. Then find the missing length. Round to the nearest tenth if necessary.
Group of answer choices
26+ 24 = a ; 35.4 in.
a + 24 = 26; 10 in.
a + 24 = 26; 2 in.
a + 24 = 26; 100 in.
Answer:
a² + 24² = 26² ; a = 10 in.
Step-by-step explanation:
a² + 24² = 26² ; a = 10 in.
((I'm not sure if your choice is wrong.))
find the number of tiles in the 57th figure. justify your answer using an algebraic expression
(1)Pradnya had 5 dozen copies. She gave half of the copies to Anushka and 1/5 times of the copies to Prajwal. How many copies are remaining with her ?
(2) Shrikant bought a watch at Rs. 900. He gave equal number of notes of denomination Rs. 10, Rs. 20, Rs. 50 and Rs. 100. Find the number of notes of Rs. 20 that he gave to the shopkeeper.
(3) Mangalakaku purchased 6016 saplings of lemon. She planted 47 saplings in each row. How many rows will be formed of those saplings?
Explanation:
(i)Total number of copies are at Pradnya = 5 dozen
We know that 1 dozen = 12
⇛5×12 = 60
Given copies to Anushka = half of 60
⇛60/2 = 30 copies
Given copies to Prajwala = 1/5 the copies
⇛ (1/5)×60
⇛60/5
⇛12 copies
Total number of given copies = 30+12 = 42
Remaining copies = 60-42 = 18
Answer: Remaining copies = 18
(ii)Let the number of Rs. 10 notes be X
So given that
all are equal in number
So, Number of Rs 20 notes = Number of Rs. 50 notes = Number of Rs. 100 = X
Total number of notes
= X+X+X+X = 4X
Value of Rs. 10 = 10X
Value of Rs. 20 = 20X
Value of Rs. 50 = 50X
Value of Rs. 100 = 100X
Total amount = Rs. 900
⇛10X +20X +50X+100X = 900
⇛180X = 900
⇛X = 900/180
⇛X = 5
Number of Rs. 10 notes = Number of Rs. 20 notes = Answer: number of Rs. 50 notes = Number of Rs. 100 = 5
(iii) Let the number of rows be X
Number of saplings per each row = 47
Total number of saplings of X rows = 47X
According to the given problem,
Total number of saplings purchased by Mangalakaku = 6016
⇛47X = 6016
⇛X = 6016/47
⇛X = 128
Answer: Total number of rows = 128
HELP ME PLZ DONT USE DEMOS GRAPHING
graph y=-1/4x+6
Answer:
.
Step-by-step explanation:
Find the value of x in the triangle shown below.
Answer:
u did a lot of this budy a lot of these
Step-by-step explanation:
Answer the following question:
7/2h - 3 (5h - 7/2)
Answer:
For easy way
convert to decimals first
3.5h - 3 (5h - 3.5)
Open brackets
3.5h - 15h + 10.5
Answer = 10.5 - 11.5h
Help!
NO LINKS!!!
Choose the correct set of y-values for the function y = -2x when x = -2, 0, 2.
A. (-2, -4), (0, 0), (2, 4)
B. (-2, 4), (0, 0), (2, -4)
C. (-2, -4), (0, 0), (2, -4)
D. (-2, 4), (0, -2), (2, 4)
Answer:
hi this should be your answer (-2,4),(0,0),(2,-4)
Step-by-step explanation:
hope this helps!
PLZ HELP! 50 PTS PER PERSON
11 less than 3 times a number is the same as 75 less than the product of -1 and the number.
Answer:
No solution
Step-by-step explanation:
Create an equation with the values given. Solve like an algebraic question.
11 > 3*x = 75> -1*x
3*x and -1*x should lead to a value greater than 11.
Since there is no value that can be multiplied by a negative and be a positive, besides negative numbers, in which the term of 11>3*x wouldn't be positive, this would have no solution.
No solution.
Classify the following triangle as acute, obtuse, or right.
D. None of these.
Equilateral is the only triangle that has all the sides that are equal to each other. Hope this helped you :)
Option D . None of these is the correct answer.
Find the common factor in the given algebraic expressions: x(a-b), y (b-a)
Explain please.
Answer:
the common factor in the given algebraic expressions: x(a-b), y (b-a)
Step-by-step explanation:
(x-y)(a-b)find the some of -3x^2-x-10 and 10x^2+x-10
Answer:
( X - 2 )(3x + 5) For 3x^2-x-10
Step-by-step explanation:
The lines 3y + 1 = 6x + 4 and 2y + 1 = x - 9 are ?
Answer:
lines are not perpendicular or parallel
The diagram shows a rectangle 15cm long and 13cm wide.It has been split into four smaller rectangles. write the area of each small rectangle on the diagram.
[tex]195 cm^{2}[/tex]
Area of each splited rectangles =[tex] \frac{195cm{}^{2} }{4} [/tex]
=[tex]48.75 {cm}^{2} [/tex]
!! PLEASE MARK ME THE BRAINLIEST!!AND I'M REALLY VERY SORRY IF MY ANSWER IS WRONGYou roll three six-sided dice. What is the probability that exactly two of the dice are odd? Write your answer as a fraction in simplest form.
The probability is
Answer:
1/4
Step-by-step explanation:
Can you help me please
Convert 112 degrees Fahrenheit to degrees Celsius
Equation
C = (F - 32) ÷ 1.8
Solution
C = (112 - 32) ÷ 1.8
=44.4 (44.4444444444)
Answer may vary depending on how your teacher wants you to do it and whether they want a exact answer.
what is 7 / 2/3 in simplest form
To do this we have to do 7 divided by 2/3
The first step to dividing fractions is to turn it into a mutipuacation sentence
7x2/3
Now we want to flip the second fraction over or make it a reciprocal
Our new equation is
7x 3/2 which is equal to 21/2
There are two ways. You may simplify it to 10 1/2 or just leave it as it is
hope this helped!! If you have questions, feel free to ask
Which set of ordered pairs represents a function?
a
O {(7,4), (3,8), (-4, –4), (0,4)}
O {(-8,0), (-5,6), (-8, 1), (-6,5)}
{(-5, 1), (3, -7), (2, -4), (2,7)}
O {(4,2), (4, -9), (-9, -6), (7,1)}
let f(x)=x-3 and g(x)= 3x^2. perform the function operation and then find the domain of the result. (f-g)(x)
Answer:
(f-g)(x) = f(x) - g(x)
= x-3 - (3[tex]x^{2}[/tex])
= x- 3 - 3[tex]x^{2}[/tex]
domain is all real number
Step-by-step explanation:
Julia wants to make a vegetable garden in her backyard for 6 different vegetables. She makes 6 sections in the
garden. The dimensions of the garden are 3 sections long by 2 sections wide. Each section is in the shape of a
square. The area of the vegetable garden is 73.5 square feet. What is the length of the vegetable garden?
Answer:
36.75 square feet
Step-by-step explanation:
First, we can divide 73.5 into 6 to calculate area for each section. We get the answer of 12.25. Next, it says that the garden is 3x2 sections, so we multiply 12.25 by 3 to get a total of 36.75
The Julia wants to make a vegetable garden in her backyard length of the vegetable garden is 10.5 feet.
The garden is divided into 6 sections.
The dimensions of the garden are 3 sections long by 2 sections wide.
Each section is in the shape of a square.
The area of the vegetable garden is 73.5 square feet.
Let's denote the side length of each square section as "s". Since there are 6 sections, the area of the vegetable garden can be calculated as:
Total Area = Number of Sections × Area of One Section
73.5 = 6 × s²
Now, solve for the side length "s":
s² = 73.5 / 6
s² = 12.25
Taking the square root of both sides:
s = √12.25
s = 3.5 feet
Since each section is a square and has a side length of 3.5 feet, the dimensions of the garden are 3 sections long by 2 sections wide, which translates to:
Length = 3.5 feet/section ×3 sections = 10.5 feet
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PLS HELP I WILL GIVE BRAINLYEST
Use the number line to find the distance between −10 and −4.
Enter the answer into the box
When we use the number line, we need to count forward from -10.
-9,-8,-7,-6,-5,-4Conclusion:Therefore, the distance between -9 and -4 is 6 units.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
PLEASE HELP ME ASAP!!!!!!!!! GOD BLESS YOU IF YOU HELP ME THIS WILL RAISE MY GRADE
There are 36 boys for every 54 girls
Answer:
2 : 3 is ur ratio
Step-by-step explanation:
Answer:
2 : 3 is ur ratio
Step-by-step explanation:
there are nine children and Kenneth preschool class three of them chose to play at the sand table based on past data is 12 preschoolers are at school today how many should you expect to play at the sand table
Answer:
4 are playing at the sand table
Step-by-step explanation:
There were 9 kids at Kenneth's preschool and 3 were playing, thats one third of the kids(3x3=9). One third of 12 is 4(3x4=12) Basically since there were 9 total kids, and 3 at the sand table, they are divided equally in groups of three so you just divide 12 by 3 too and thats how you get 4
One gallon is approximately 3. 875 liters. Mario buys 1. 5 gallons of gasoline for his lawn trimmer. How many liters of gasoline, to the nearest tenth, did Mario buy?.
Based on the amount of gasoline Mario bought in gallons, the amount in liters would be 5.8 liters.
A single gallon is equivalent to 3.875 liters.
If Mario bought 1.5 gallons of gasoline, the amount he bought in liters would be:
= Gasoline in gallons x Number of liters per gallon
= 1.5 x 3.875
= 5.8125
= 5.8 liters
In conclusion, Mario bought 5.8 liters of gasoline.
Find out more at https://brainly.com/question/237650.
What is the solution set for x^2 - 2x - 15 = 0
A. {-5, -3}
B. {5, -3}
C. {3, 5}
D. {-3, 5}
Answer:
B
Step-by-step explanation:
I have done this before
what is 2 + 2 + 2 +2 lol
Answer:
8 lol
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Can someone help me with these 2 problems I’ve been stuck on them for a very long time :’) tysm!!
Answer:
Christmas How many pouds this proportion to solve
Evaluate the expression. 5 x (-6 / -1 + -10)
Answer:
-20
Step-by-step explanation:
PEMDAS
Parentheses -> Exponents -> Multiplication -> Division -> Addition -> Subtraction
1.) First, we can rewrite this equation to make it easier to understand
5 x (-6 / -1 + - 10)
5(-6 / -1 - 10)
2.) Begin by dividing inside the parentheses
5(-6 / -1 - 10)
5(6 - 10)
3.) Solve
5(6 - 10)
5(-4)
-20
or
5(6 - 10)
5(6) 5(-10)
30 - 50
-20
Therefore, the expression equals -20.
Find the ratio of the following is175and210
Answer:
5:6
Step-by-step explanation:
175/210
Divide both sides by 5
175/5 : 210/5
35 : 42
Divide both sides by 7
35/7 : 42/7
5 : 6
The ratio of 175 and 210 in its simplest form is; 5:6
What Is a ratio
A ratio is the simplest form to which the quotient of two numbers can be represented.
The ratio of 175 and 210 can be evaluated by considering their HCF, highest common factor.
Their HCF is 35;Hence, the ratio of 175 and 210 is ; 5:6
Read more on ratios;
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