Answer:
Yes, the area of the square would be a rational number.
Step-by-step explanation:
Area of square = 400 units² = x²
x = one side length of square
x = √400 = 20 units
Increase each side length by 1 unit.
New side length = 21 units
Area of new square = 21² = 441
441 is a rational number because the square root of 400 is a rational number.
√400 = 21
Therefore: If the length of each side of the square increased by one unit, the area of the square would be a rational number. The area of the square would still be a perfect square.
In a church, the ratio of adults to children is 10 to 5. If there are 135 people in the church, how many children are there?
Answer:
45
Step-by-step explanation:
That means in every group of 15, there are 5 children
135 / 15 = 9. So Nine groups of 15. 9 x 5 = 45
If (a + b)^2 = a^2 +n + b^2 , what is n?
Answer:
[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} \\ n = 2ab[/tex]
you run 15 miles in 150 minutes your brother runs 30 miles in 300 minutes are the rates proportional?
Answer:
im not sure on how to answer that
Step-by-step explanation:
express ratio as a fraction in simplest form
a. 10 yards to 10 feet
hint *there are 3 feet in every 1 yard
Answer:
[tex]\frac{3}{1}[/tex]
Step-by-step explanation:
The dimensions must be the same
10 yards = 10 × 3 feet = 30 feet
ratio = [tex]\frac{30}{10}[/tex] = [tex]\frac{3}{1}[/tex]
Is it possible to list all the fractions between 2 and 3? Explain.
Answer: No
Step-by-step explanation:
There are infinitely many numbers. Numbers so big that they are beyond our comprehnsion. Numbers can also be infinitly small. A fraction is something less than a whole. So the answer is no you can't list them all.
i need the answer to f(x)=2x+3
A function f(x) is graphed on the coordinate plane at is the function rule in siope-intercept form? Enter your answer in the box f(x) =
9514 1404 393
Answer:
y = 2x +1
Step-by-step explanation:
The line rises 2 units for each 1 unit to the right, so its slope is ...
m = rise/run = 2/1 = 2
The line crosses the y-axis at y = 1, so the y-intercept is ...
b = 1
Then the slope-intercept form equation is ...
y = mx + b . . . . . . . for slope m and y-intercept b
y = 2x + 1 . . . . . . . . fill in the known values
Please Help!
Which ordered pair is a solution of the equation?
y=8x+3y=8x+3y, equals, 8, x, plus, 3
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Only (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis
(Choice B)
B
Only (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis
(Choice C)
C
Both (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis and (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis
(Choice D)
D
Neither
Answer:
C) Both (1 , 11) and (-1, -5)
Step-by-step explanation:
y = 8x + 3
Plugin x = 1 and y = 11 in the equation
11 = 8*1 + 3
11 = 8 +3
11 = 11
So, (1 , 11) is a solution.
Plugin x = -1 and y =-5 ,
-5 = 8*(-1) + 3
-5 = -8 + 3
-5 = -5
So, (-1 , -5) is also a solution
I need help very bad
Answer:
3
Step-by-step explanation:
[tex]y - 3 = n(x - 5)[/tex]
[tex]3 - 3 = n(5 - 5) \\ 0 = n * 0[/tex]
[tex]12 - 3 = n(8 - 5) \\ 9 = n * 3 \\ n = 3[/tex]
if sin x equal to a/b
what is sin(90-x)
Answer:
[tex] \sin(x) = \frac{a}{b} \\ \sin(90 - x) = \sin(90) \cos(x) - \cos(90) \sin(x) \\ \sin(90 - x) = \cos(x) \\ { \sin(x) }^{2} + { \cos(x) }^{2} = 1 \\ { \cos(x) }^{2} = 1 - {( \frac{a}{b})}^{2} = \frac{ {b}^{2} - {a}^{2} }{ {b}^{2} } \\ \cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ \sqrt{ {b}^{2} } } \\ \boxed{ \sin(90 - x) =\cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ b} } \\ [/tex]
The value equal to the given trigonometric expression sin(90°-x) is √(b²-a²)/b.
Given that, sinx=a/b.
We know that, sinθ=Opposite/Hypotenuse
Here, Opposite = a and Hypotenuse = b
Let the adjacent side be x.
Here, x=√(b²-a²)
Given that, sin(90°-x) = cosx
Now, cosx=x/b
cosx=√(b²-a²)/b
Therefore, the value equal to the given trigonometric expression sin(90°-x) is √(b²-a²)/b.
Learn more about the trigonometric ratios here:
brainly.com/question/25122825.
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HELP
Which expression should appear on Line 3?
800 + 24 + 12
800 +240 + 12
800 + 600 + 12
80 +240 + 12
Line 3 = (200 × 4) + (60 × 4) + (3 × 4) [multiply the terms in the brackets]
= 800 + 240 + 12
Answer:
Refer to the attachment
Type the correct answer in the box.
Rectangle PQRS is rotated 180 degrees clockwise about the origin to create rectangle P'Q'R'S. Complete the rule that describes the coordinates of rectangle P'Q'R'S after the rotation has occurred.
(x',y')=______
Answer:
The answer is = (x',y')=(-x,-y)
Step-by-step explanation:
= (x',y')=(-x,-y)
What is 180 clockwise?
Rectangle PQRS is rotated 180 degrees clockwise about the origin to create triangle P'Q'R. Complete the rule that describes the coordinates of triangle P'Q'R after the rotation has occurred.
Rule of 180° Rotation
If the point (x,y) is rotating about the origin in a 180-degree clockwise direction, then the new position of the point becomes (-x,-y).
Please check the attached file for a detailed answer.
Learn more about the origin to create rectangles at
https://brainly.com/question/17548952
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I got ace in a week i felt so happy i wanna give someone branliest
2+2
Answer:
4
Step-by-step explanation:
2 plus 2 equals 4 lmk if you need more help
Answer:
4
Step-by-step explanation:
The tape diagram represents an equation.
Answer:
y² = 7
Step-by-step explanation:
65% of 51. Please also show me how to do it because I can't.
Answer:
Step-by-step explanation:
65% of 51 = [tex]\dfrac{65}{100}*51[/tex]
= 0.65 *51
= 33.15
Jeremy says that 5.676677666777... is a
rational number because it is a decimal that
goes on forever with a pattern. Is he correct?
Why or why not?
Answer:
he is correct bc the pattern correct
Step-by-step explanation:
6. Cafe A offers 2 free bottled waters or juices for every 20 purchased. What is the ratio of free drinks to purchased drinks? *
Answer:
1: 10
Step-by-step explanation:
2/2 =2
20/2 = 10
will mark as brainliest if correct, 20 points
Answer:
D. [tex]4\frac{1}{16}[/tex]
Step-by-step explanation:
Substitute the given value into the function and solve.
I need help to fill in the blank for how to solve the equations with the brackets.
“When you see the brackets inside an equation, you’ll need to get rid of the brackets (to access the terms inside), which means you’ll need to ______________ the equation.”
What word is missing that goes with the math statement?
Answer:
take out or aluminate i think
Step-by-step explanation:
Anna says that 5 1/3 is not a rational number because it’s not in the fraction form of a/b. Do you agree? plsss help
Answer:
No.
Step-by-step explanation:
A rational number is a number that can be written in the form a/b, where a and b are integers. A rational number does not have to be written in the form a/b. I just needs to be able to be written in that form.
Can 5 1/3 be written as a fraction of integers?
5 1/3 = 5 + 1/3 = 15/3 + 1/3 = 16/3
5 1/3 = 16/3
16/3 is in the form a/b, where a and b are integers.
Since 5 1/3 can be written as a fraction of integers, it is rational.
Anna is incorrect.
Choose the algebraic expression that matches the word phrase below.
the quotient of x and 10
Answer:
x ÷ 10
..,.................
Can someone pls help me
Answer: help what?????
Step-by-step explanation:
QUESTION 12
Maria bought 6 books for a total of $360.00. Math books cost $80.00 and science books cost $50.00. How many science books did she buy? Your
answer should be a number only.
Answer: 4 science and 2 math books
Step-by-step explanation:
Let M and S stand for the numbers of math and science books.
We know that M+S = 6 books
and M*80 + S*50 = $360
Rearance the first: M = 6-S
Use this definition of M in the second equation:
(6-S)*80 + S*50 = $360
480-80S + 50S = 360
-30S = - 120
S = 4
Use S=4 in the first equation (M=6-S) to find the number of math books, 2.
Check to see if there number work:
4*($50)= $200
2*($80)= $320160
Total is $360. It works.
[tex]\sf 7-5x=-43[/tex]
Answer:
[tex]\sf\longmapsto \: x = 10[/tex]
Step-by-step explanation:
Subtract 7 from both sides:
7−5x−7=−43−7
Simplify:
−5x=−50
Divide both sides by −5:
[tex]\sf\longmapsto \: \frac{ - 5x}{ - 5} = \frac{ - 50}{5} [/tex]
[tex]\sf\longmapsto \: x = 10[/tex]
[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]
[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]
[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]
Answer:
x=10
Step-by-step explanation:
[tex]7-5x=-43[/tex]
[tex]7-5x-7=-43-7[/tex] Subtract
[tex]-5x=-50[/tex]
[tex]\cfrac{-5x}{-5}=\cfrac{-50}{-5}[/tex] Divide
[tex]x=10[/tex]
Sharel loaded 6 trucks every 16 minutes. At thats rate, how long, in minutes, will it take to load 9 trucks?
For brainily please help
Answer:
Yes
Step-by-step explanation:
ive answered a and b but struggling to answer c. how do you work it out?
Answer:
-2, 1.5
Step-by-step explanation:
(y1 + y2)/2 = y midpoint formula
so, (-1 + 4) = 3
3 / 2 = 1.5
y = 1.5
Step-by-step explanation:
To find the midpoint:
Use the formula;
d = (x2 + x1)/2, (y2 + y1)/2 where x2 = -2, x1 = -2, y1 = -1, y2 = 4
Substitute the values into the equation above. This gives;
d = (-2 + -2)/2, (4 + -1)/2
= (-4/2), (3/2)
=(-2, 1.5) <<<<<<< ✓ Ans
I hope this helps. Thank you
If a line has a slope of 4 and a y-intercept of 3, what is the equation of that line in slope-intercept from???
Answer:
y=3x-4
Step-by-step explanation:
Help! evaluate this number
Answer:
-12×3 = -36.............
Find the slope of the line that contains the following pair of
points:
(-3,-4) and (3,-2).
Answer:
1/3
Step-by-step explanation:
gradient or slope = m
m = change in y ÷ change in x
= (-4 - -2) ÷ (-3 - 3)
= (-4 + 2) ÷ (-3 - 3)
= -2 ÷ -6
= 1/3