Answer:
Pythagoras theorem
hypotenuse²=base²+height²
(24)²=base²+(9)²
576=base²+81
576-81=base²
494=base²
[tex] \sqrt{494} = base \\ 22.24 = base[/tex]
1. Find the surface area of a geometric box, whose length, breadth and height are respectively
18 cm, 8 cm and 1.8 cm.
Answer:
259.2
Step-by-step explanation:
multiply 18 x 8 x 1.8 to get 259.2cm
Write the equation for the word problem and solve. You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?
Answer: each eraser cost 5 dollors
Step-by-step explanation: Simplifying
25 = 5 + 4e
Solving
25 = 5 + 4e
Solving for variable 'e'.
Move all terms containing e to the left, all other terms to the right.
Add '-4e' to each side of the equation.
25 + -4e = 5 + 4e + -4e
Combine like terms: 4e + -4e = 0
25 + -4e = 5 + 0
25 + -4e = 5
Add '-25' to each side of the equation.
25 + -25 + -4e = 5 + -25
Combine like terms: 25 + -25 = 0
0 + -4e = 5 + -25
-4e = 5 + -25
Combine like terms: 5 + -25 = -20
-4e = -20
Divide each side by '-4'.
e = 5
Simplifying
e = 5
Hey everyone, I need a lot of help with this! Please let me know when you can. Thanks!
Subtract
(5x^2-8x+7)-(2x^3+3x+1)
5x^2-11x-2x^3+6
Simplify the expression
answer: = -2x^2+6x+4
2x[tex]2x^{2}-3x-5[/tex]
Answer:
2x²-3x-5
=2x²-3x-5
=2x²-5x+2x-5
=2x(x-5)+2(x-5)
=(x-5)(2x+2)
Answer:
(x + 1)(2x - 5)
Step-by-step explanation:
Assuming you require the expression factorised.
2x² - 3x - 5
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 5 = - 10 and sum = - 3
The factors are + 2 and - 5
Use these factors to split the x- term
2x² + 2x - 5x - 5 ( factor the first/second and third/fourth terms )
= 2x(x + 1) - 5(x + 1) ← factor out (x + 1) from each term
= (x + 1)(2x - 5) ← in factored form
The perimeter of the triangle is 29 cm.
a. Write an equation and solve for x.
b. Use the value of x to find the lengths of the sides of the triangle.
c. What kind of triangle is this: scalene, isosceles, or equilateral? Explain how you know using the calculated side lengths, not the picture
2x+2
3x - 1
x + 4
Answer:
Step-by-step explanation:
Equation
2x + 2 + 3x - 1 + x +4 = 29 Collect like terms on the left
6x + 5 = 29 Subtract 5 from both sides
6x = 29 - 5
6x = 24 Divide by 6
x = 24/6
x = 4
Length of the Sides.
2x + 2 = 2*4+2 = 10
3x - 1 = 3*4 - 1 = 12 - 1 = 11
x + 4 = 4 + 4 = 8
Type of Triangle
Scalene.
Question 7 of 12 Solve: 3x- 8 = 6(1 - 2x) + 16 O A. x = 2 O B. x = 5 O C. x= -2 O D. There are infinitely many solutions.
Answer:
A. x =2
Step-by-step explanation: Rearrange terms 3x - 8 = 6 ( 1 - 2x ) + 16 ---> 3x - 8 = 6 ( -2x + 1 ) +16
Distribute
Add the numbers
Add 8 to both sides of the equation
Simplify
Add 12x to both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify -------> x=2
If there are 60 seconds in an minute, 60 minutes in an hour, 24 hours in a day, and 7 days in a week, how many seconds are in a week? Hint: Use a calculator to solve this problem.James and Kelly have $10 to spend at a grocery store. If they get 3 avocados which cost $1 each, 4 tomatoes which cost a total of $2 for all 4, and two loaves of bread which cost $2 each, how much change will James and Kelly receive after their purchase?
Answer:
Part a) 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day, and 7 days in a week, how many seconds are in a week
60x60=3600 x 24= 86400 x 7= 604800
So 604,800 seconds in a week
Part b) James and Kelly have $10 to spend at a grocery store. If they get 3 avocados which cost $1 each, 4 tomatoes which cost a total of $2 for all 4, and two loaves of bread which cost $2 each, how much change will James and Kelly receive after their purchase?
So 3 x 1= $3
+ $2
2 x 2= $4
3+2+4= $9
10-9= $1
So they'll get back $1
All ratios equivalent to -40/5
Answer:
Equivalent ratios calculator that shows work to find the equivalent ratios for the given ratio with two or more numbers.
Step-by-step explanation:
Refer to the diagram below. What is the scale factor used to create the new shape.
Answer:
The correct answer is A: 4/5
Step-by-step explanation:
We would divide 24/30 and get 4/5
The graph of an equation is shown below:
Based on the graph, which of the following represents a solution to the equation?
Answer:
(-2, -3)
Step-by-step explanation:
solutions are all the points where the line intersects
please help me, I’ve been on this for 30 mins + I’m an idiot
I think it's 3/7?
hope this helps
Find the equation of a parabola with focus F(-3, 9) and directrix x = -13.
Answer:
y² = 38x + 79
Step-by-step explanation:
Since directrix is the line x = -13, then it means x + 13 = 0
Focus is F(-3, 9).
Let A(x, y) be any point inside the plane having the focus and directrix.
Let MA be the perpendicular distance from A to the directrix and it means that A lies on parabola provided FA = MA.
Thus;
√[(x - (-3))² + (y - 9)²] = (x + 13)
Squaring both sides gives;
(x + 3)² + (y - 9)² = (x + 13)²
>> (x² + 6x + 9) + (y² - 18x + 81) = x² + 26x + 169
>> 6x + 9 + y² - 18x + 81 = 26x + 169
>> y² = 26x + 12x + 169 - 90
>> y² = 38x + 79
The first term of a geometric sequence is 4, and the common ratio is 5. What is the 5th term of the sequence?
a.2,500
b.12,500
c.1,024
d.500
Answer:
A) 2,500
Step-by-step explanation:
Soo.....
A1 = 4
A2 = 4*5 = 20
A3 = 20*5 = 100
A4 = 100*5 = 500
A5 = 500*5 = 2,500
please help, this is very urgent!!! no links please, and also if ur answer is correct I'll give brainliest!!!!
Answer:
I) 616
II) 4.53
Step-by-step explanation:
For the first one, just plug in 7 as R.
A = 4 x (22/7) x 7^2
A = 12.57142857 x 49
A = 616
For the second, one, put 452 4/7 as A.
452 4/7 also is 258.285
258.285 = 4 x (22/7) x r^2
258.285 = 12.57142857 x r^2
Divide both sides by 12.57142857
20.55372408 = r^2
Square root 20.55372408 for R.
4.533621519 = R
OR
4.53 = R
Find the area of the larger sector.
Round to the nearest tenth.
Answer:
399.6 square miles
Step-by-step explanation:
The Area of a sector =
x/360° × πr²
r = 13.4 miles
x = 255°
Hence,
255°/360° × π × 13.4²
= 399.5739336 square miles
Approximately = 399.6 square miles
Answer:
399.6
Step-by-step explanation:
Write a rule for g. Describe the graph of g as a transformation of the graph of f.
f(x) = x^4 - 3x^2 - 2x, g(x) = - f(x)
Answer:
Step-by-step explanation:
It was the day before the big U.S. History test. It was an open-note exam, so if students took good notes, they would probably get a good grade on it. The problem for Helga was that she waited until the last minute to review her notes—and they were terrible. In a panic, she called her best friend, Tracy, and asked her to make a copy of the notes she took so Helga could use the copy to take the test. Tracy always took detailed notes, and Helga knew she would get a good grade if she used the copy of Tracy’s notes. Why is this most likely a dangerous situation for both Helga and Tracy? They would put their education at risk. They would break their parents’ rules. They would put their friendship at risk. They would break the school laws.
Answer:
Step-by-step explanation:
they would break the honor code of only using your own notes. Both could get a zero on the test. But.. this brings up the idea that the grade is worth anything in the first place.
Answer:
IT IS B OR D GIVE ME ONE MINUTE TO FINISH THI TEST AFTER I WILL EDIT AND TELL YOU THE ANSWER.
Step-by-step explanation:
During the 2 9-weeks reporting, a student's grade increased from 80 to 96. By what percentage did the grade increase?
32%
20%
16%
12%
Simplify fully 8x/12x2y
Answer:
2/3xy.
Step-by-step explanation:
8x/12x^2y
The 8 and 12 simplify to 2/3 and x and x^2 simplify to 1/x so we have:
= 2/3xy.
Please help me with maths
Answer:
Each pentagon angle is 108 no matter what.
so 108*3=324
360-324=36
Answer=36
What is the factored form of the polynomial 3x-3y
Answer:
Step-by-step explanation:
3x - 3y = 3(x-y)
[tex]\sqrt(12-8x)=x-3[/tex]
Answer:
x = -3 and x = 1
Step-by-step explanation:
first, square each side
12 - 8x = x² - 6x + 9
x² + 2x - 3 = 0
(x - 1)(x + 3) = 0
x = -3
x = 1
The FAFSA4caster cannot help students:
O A. decide which colleges to apply to.
O B. plan for upcoming expenses.
O C. learn about how to pay for college.
O D. perform better on standardized tests.
Answer:
is D perform better on standardized test
Step-by-step explanation:
IT IS CORRECT TRUST! you welcome
Consider the system of equation
2x+3y=8
2x+6y=12
what could be the first step in solving the system of equations using elimination
a. Multiply the first equation by -1
b. Add 4 to both sides of the first equation
c. Add the two equations
d. Multiply the second equation by 2
a hot air balloon travels 18 miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4 hour
Answer:
4 miles
Step-by-step explanation:
Answer:
4.5 miles
Step-by-step explanation:
18 miles 3 hours = 6 miles/hour
6 x (3/4) = 4.5 miles
Solve for x. Round to the nearest tenth.
Answer:
x=10.4
Step-by-step explanation:
tan(60°)=18/x
tan(60°)x=18
x=18/tan(60°)
x=10.4
Write an equation in slope-intercept form of the line shown. (8, 4) (4, 1)
Step-by-step explanation:
m= 1-4/4-8 = -3/-4 = 3/4
y-1 = 3/4(x - 4)
y-1 = 3/4x -3
y = 3/4x -2
simplify 7.2×10 to the power-3 - 9.5×10 to the power -5 plz step by step
Answer:
0.007105=1421/200000
Step-by-step explanation:
Here is a graph of the relationship between the height and volume of some cylinders that all have the same radius, R. An equation that represents this relationship is V =Rºh (use 3.14.as an approximation for 7). What is the radius of these cylinders?
Answer:
Radius is 1 unitStep-by-step explanation:
The relationship is:
V = πr²hWe have points on the graph:
(9, 28.26) and (18, 56.52)Use one of the points, substitute into equation and solve for r:
28.26 = 3.14*9*r²r² = 28.26/28.26r² = 1r = 1