Answer:
An irrational number is a number that can not be written as the quotient of two integer numbers.
Then if we have:
A = a rational number
B = a irrational number.
Then we can write:
A = x/y
Then the product of A and B can be written as:
A*B = (x/y)*B
Now, let's assume that this product is a rational number, then the product can be written as the quotient between two integer numbers.
(x/y)*B = (m/n)
If we isolate B, we get:
B = (m/n)*(y/x)
We can rewrite this as:
B = (m*y)/(n*x)
Where m, n, y, and x are integer numbers, then:
m*y is an integer
n*x is an integer.
Then B can be written as the quotient of two integer numbers, but this contradicts the initial hypothesis where we assumed that B was an irrational number.
Then the product of an irrational number and a rational number different than zero is always an irrational number.
We need to add the fact that the rational number is different than zero because if:
B is an irrational number
And we multiply it by zero, we get:
B*0 = 0
Then the product of an irrational number and zero is zero, which is a rational number.
Isaac is painting a 1.5-foot by 2-foot by 4-foot storage box with weather-resistant paint. Since the box is to be used on the patio, all of the exterior sides, including the
top and bottom, must be painted. What is the total surface area that Isaac will paint?
Answer:
34
Step-by-step explanation:
what does x represent in the equation 3x+1=10
Answer:
3
Step-by-step explanation:
3x+1=10 subtract 1 to both sides
3x+1-1=10-1
3x=9 divide both sides by three
3x/3=9/3
x=3
Help me I don’t know how to do this
Answer:
hmm
Step-by-step explanation:
Standard Form of a linear equation. Match the phrase with the equivalent term
Ax + By = C
equation
line
point
x-intercept
y-intercept
Which one is correct I’ll mark Brainlest
Answer:
pretty sure its equation, if its wrong im sorry!
help please! ill mark you brainliest!
Answer:
80 degrees
Step-by-step explanation:
angle c=50
this is an isoceles triangle in which both base angles are same
so, angle e=50
now we will use angle sum.property which states that the sum of all the interior angles of a triangle is equal to 180
so, 50+50+angle d=180
100 + angle d = 180
angle d =180-100
angle d = 80 degrees
PLEASE HELP ME I NEED HELP RIGHT AWAY AND YOU MUST EXPLAIN!!!
A box contains fiction and nonfiction books. There are 22 fiction books in the box, which is 55% of the total number of books in the box. What is the total number of books in the box?
thank you for helping
Answer:
So it's either 12.1
Step-by-step explanation:
So you must multiply them to get the answer cause it tells how much fiction books are in there, and It 55% of the total so to find the total you must multiply them.
But if you have a percent you have to make that into a decimal. So 55% will be 55/100 so that's .55, so all you have to do now is multiply them.
Answer: 40 books
Step-by-step explanation:
First divide 22/55 then multiply the product by 100.
22/55= 0.4
0.4*100=40
Hope this helps u Emilee :)
-0.2(x-20)=44-x Please i really need help. and please add an explanation if u want to.
Answer: x = 50
Step-by-step explanation:
-0.2(x - 20) = 44 - x
-0.2x + 4 = 44 - x (distribute the -0.2)
+ x + x
-----------------------------------------------------
0.8x + 4 = 44
- 4 - 4
-------------------------------------------------------
0.8x = 40 (divide by 0.8)
x = 50
Each side of a regular hexagon has a length of 2 ft 3 in. Find the perimeter of the regular hexagon
Answer:
gdghdhsxjsjsj
Step-by-step explanation:
jcjcjcjcjjcjcjcjcjc
Answer:
t is a regular hexagon of side 2′. So it can be divided into 6 triangles equal in all respects.The sum of all interior angle of hexagon =(n-2)*180 = (6–2)180 =720 deg. each interior angle =720/6 =120 deg.Side of the triangle divides this angle into two equal halves each = 60 deg.when two base angles of each triangle are 60 and 60 third angle will also become 60 making it as equilateral triangle. N ow the area of hexagon =6*the area of each equilateral triangle of base 2 ft.=6*1/2*2*h. h is the altitude of the triangle=2/2*tan 60 = rt3 =1.732 .NOW area of hexagon =6*1.732 = 10.392 sq.ft
I don't know to much about this can you help me on it.
ok whoever helps me is da best so plz :) 50 points
Answer:
A(-2/3)
B(-1/6)
C(1/2)
D(4/3)
Step-by-step explanation:
There are 6 tics in each section.
That means each tic is 1/6
A(-4/6) -> (-2/3)
B(-1/6)
C(3/6) -> (1/2)
D(8/6) -> (4/3)
I need help please fast
Step-by-step explanation:
[tex]6p \geqslant - 42 \\ p \geqslant - 7[/tex]
Mark got 487 questions wrong out of 9374 questions. What is his grade?
Answer:
5%
Step-by-step explanation:
487/9374=0.05
0.05 would translate to 5%
Hope this helps! :)
Answer:
F (5%)
Step-by-step explanation:
To find the percentage of questions he got correct:
487/9374=0.051....
So, assuming an F is less than 50%, he got an F.
PLEASEEEE HELP !!!!!!!!!!!!!!!!! Abanoub is using a machine to drill for oil that is 535 feet under the ground. The drill he is using is drilling at a rate of -35 feet per hour. How long did it take him to reach the oil? a 15.28 Hours b - 15.28 Hours c 18,725 Hours d -18,725 Hours
Answer:
a) 15.28 hours
Step-by-step explanation:
535/-35
≈-15.28
but time is always positive so it would take him 15.28 hours
What must be true about the coordinates of any point that lies in the third quadrant?
Answer:
(-, -)
Step-by-step explanation:
The x value is negative and the y value is also negative
Draw a vertical y-axis on the left-hand side of your graph and label it. Then draw a horizontal x-axis at the bottom of your graph. Then label the coordinates of each corner of the sign on your graph. Draw line a on your graph. What is the slope of line a?
Answer: 20
Step-by-step explanation:
Help ASAP! Thanks
Find the lateral area of this cone.
Leave your answer in terms of pi
15cm
8cm
Answer: i think its 17
Step-by-step explanation:
HELP ME PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer: I already answered this question already
Step-by-step explanation:
independent- x or hours
dependent- y or money earned
y=8x
find x, then find each angle
Answer:
x=8
Step-by-step explanation:
23x=184
x=8
please help me on this cause I'm confused
Answer:
h = 2.7 m
Step-by-step explanation:
The larger triangle and the smaller triangle are similar so ratios of corresponding sides are equal, that is
[tex]\frac{6}{6+12}[/tex] = [tex]\frac{0.9}{h}[/tex] , that is
[tex]\frac{6}{18}[/tex] = [tex]\frac{0.9}{h}[/tex] ( cross- multiply )
6h = 16.2 ( divide both sides by 6 )
h = 2.7 m
Pllssss hellpppppppppp plssss
Answer:
Step-by-step explanation:
WE KNOW THAT THE SUM OF THE ANGLES IN A TRIANGLE=180
9g+2g+7g=180
18g=180
g=180/18
g=10
Are linear inequality graphs different from linear equations graphs
Answer:
The only difference between the two equations is that, a linear equation gives a line graph whereas a linear inequality shows the area of the coordinate plane that satisfies the inequality. A linear inequality graph usually uses a borderline to divide the coordinate plane into two regions.
Step-by-step explanation:
Your profile picture lol
Answer:
Trust me his/her answer are correct.....
What is the slope of a line that goes through the points (10, -2) and (5,-5)? m =
Y1-Y2
11-12
Answer:
m = 3/5
Step-by-step explanation:
use the formula so m = -5 - -2 / 5 - 10 , so m = -5+2 / -5
m = -3/-5 so m = 3/5
what is 5^(−3)×2^(−1)
Please help and please don't answer just for the points I'll report you
Answer:
Length of sandbox (3w + 1) = 9.1 m
Width of sandbox = 2.7 m
Step-by-step explanation:
[tex]w(3w + 1) = {5}^{2} \\ \\ 3 {w}^{2} + w = 25 \\ \\ 3 {w}^{2} + w - 25 = 0 \\ \\ equating \: it \: with \\ \\ a {x}^{2} + bx + c = 0 \\ \\ a = 3 \\ b = 1 \\ c = - 25 \\ \\ {b}^{2} - 4ac \\ = {1}^{2} - 4 \times 3( - 25) \\ \\ = 1 + 300 \\ \\ = 301 \\ \\ w = \frac{ - 1 \pm \sqrt{301} }{2 \times 3} \\ \\ w = \frac{ - 1 \pm 17.3493516 }{6} \\ \\ w = \frac{ - 1 \pm 17.3493516 }{6} \\ \\ considering \: only \: + ve \: sign \\ \\ w = \frac{ - 1 + 17.3493516 }{6} \\ \\ w = \frac{16.3493516 }{6} \\ \\ w = 2.72489193 \\ \\ w = 2.7 \: m[/tex]
3w + 1 = 3*2.7 + 1 = 8.1 + 1 = 9.1 m
Find a, b and c giving reasons for each answer.
2)
3)
1)
55
b
С
b
b
110°
с
a
a
С
120°
5)
6)
25 °
4)
115
a
10°
ab
Answer/Step-by-step explanation:
1.
✔️a = 180 - 110 (consecutive angles are supplementary)
a = 70°
✔️b = a (corresponding angles are congruent)
b = 70°
✔️c = 110° (alternate interior angles are congruent)
2.
✔️a = 180 - 120 (linear pair)
a = 60°
✔️b = a (corresponding angles are congruent)
b = 60°
✔️c = a (alternate interior angles are congruent)
c = 60°
3.
✔️a = 55° (corresponding angles are congruent)
✔️b = 55° (Vertical angles are congruent)
✔️c = 180 - 55 = 125° (linear pair)
4.
✔️a = 115° (corresponding angles are congruent)
✔️b = 180 - a (linear pair)
b = 180 - 115
b = 65°
✔️c = b (vertical angles are congruent)
c = 65°
5.
✔️a = 180 - 25 = 155° (supplementary angles)
✔️b = 25° (corresponding angles)
✔️c = 25° (vertical angles)
6.
✔️a = 180 - 10 = 170° (linear pair)
✔️b = a (corresponding angles are congruent)
b = 170°
✔️c = 10° (corresponding angles are congruent)
Please help. my grade in math is terrible all i want is help please.
Charmaine buys candy that costs $5 per pound. She will spend less than $45 on candy. What are the possible numbers of pounds she will buy?
Use P for the number of pounds Charmaine will buy.
Write your answer as an inequality solved for P.
Answer:
8 pounds
Step-by-step explanation:
x = number of pounds
5x<40
x<40/5
so she can buy X<8 pounds
Solve by graphing
|1x - 1| = |2x - 5|
Answer:
x=4 or x=2
Step-by-step explanation:
Calculate the value of y to the nearest hundredth.
Answer:
y ≈ 9.24
Step-by-step explanation:
Using the cosine ratio in the right triangle.
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{y}[/tex] ( multiply both sides by y )
y × cos30° = 8 ( divide both sides by cos30° )
y = [tex]\frac{8}{cos30}[/tex] ≈ 9.24 ( to the nearest hundredth )
Ashely found 2 boxes of sugar in the kitchen. The green boxe is 1.26 kg and the red box is 1.026 kg. Which box contains more sugar?
Answer:
The green box by 0.234kg of sugar
Step-by-step explanation:
Given data
The green box weight= 1.26 kg
The red box weight= 1.026 kg
comparing the two values
the green box contains 0.234kg more sugar
=1.26-1.026
=0.234kg
Evaluate the expression when c=6 and d=5.
d+ 8c
Answer:
53
Step-by-step explanation:
when c=6 and d=5 we want to substitute the variables with the numbers in the equation so we'll have
(5) + 8(6)
after evaluating we come up with the answer 53