Answers
Answer:
A & C
Step-by-step explanation:
You're looking for rational numbers that are also integers, but because (as the figure shows) ALL integers are already rational, you only have to worry about the integer part. An integer is a whole number, positive or negative. So, you need to simplify each element of each set (the numbers inside the curly braces) to see if they're whole.
A - The square root of 100 is just 10 or -10, divided by -2 is -5 or 5. 4, -2, 5, and -5 are all integers.
B - Wrong because 4/3 is not a whole number
C - 16/4 is just 4, and the square root of 49 is 7 or -7. 4, -6, 2, 7, & -7 are all integers.
D - Wrong because 27/2 is not a whole number
E - Wrong because 0.2 is not a whole number
Let me know if you need a more thorough explanation! (:
Related Questions
the acute angles of the right isocoles triangle are congruent you rotate the triangle 135 counterclockwise about the origin
Answers
Answer:
45°
4 units
Step-by-step explanation:
Rotation changes nothing about the geometric relationships within the figure. Angle measures are unchanged; side lengths are unchanged.
The acute angles of an isosceles right triangle are (180° -90°)/2 = 45°. This is true regardless of the orientation of the triangle with respect to any coordinate axes.
The measures of the legs of your triangle are 0 -(-4) = 4 = (1 - (-3)). Rotating the figure any amount in any direction around any center doesn't change that.
Prove that:
\cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1
Please solve this problem because tomorrow is my...
Answers
Explanation:
On taking LHS
Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]
We know that
π = 180°
2π = 2×180° = 360°
3π/2 = (3×180°)/2 = 540°/2 = 270°
Now
LHS becomes
Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]
We know that
Cos (270°+θ) = Sin θ
Cos (360°+θ) = Cos θ
Cot (270°-θ) = Tan θ
Cot (360°+θ) = Cot θ
→ Sin θ Cos θ [Tan θ + Cot θ]
→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]
→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]
→ Sin θ Cos θ [1/(Sin θ Cos θ)]
Since Sin²θ+Cos²θ = 1
→ (Sin θ Cos θ)/(Sin θ Cos θ)
→ 1
→ RHS
→ LHS = RHS
Hence, Proved.
Here are the formulae that I have used:
→ π = 180°
→ Cos (270°+θ) = Sin θ
→ Cos (360°+θ) = Cos θ
→ Cot (270°-θ) = Tan θ
→ Cot (360°+θ) = Cot θ
Here are the Trigonometric Identities that I have used:
→ Sin²θ+Cos²θ = 1
Hope this helps!!
Factor the Trinomial 6x^2 + x - 40
(And please show the work/steps.)
Answers
a
=
670
rounded to the nearest 10
b
=
72.7
rounded to 1 DP
Find the minimum (to 2 DP) of
a
÷
b
Answers
Answer:9.22
First, 670 rounded to the nearest ten is:
670
Second, 72.7 rounded to 1DP is:
well, 72.7
a÷b is:
9.2159
9.22 (2 DP)
1) Evaluate the expression 3^3 • (12 – 2) = 2.
.
-
3^3 • (12 – 2) divided 2 =
.
-
?
Answers
Sela's piano lesson starts at 4:45pm. The lesson is 30 minutes long.
When does her lesson end
Answers
Answer:
The lesson ends at 5:15 pm.
Answer:
Her piano lesson ends at 5:15pm
Hope it helps:)
Ms. Howard buys a car for $500 and adds a music system that costs $200. Then she adds a set of seat covers for the price shown.
A photo of two seat covers is shown. A price tag reads, Sale, fifty dollars.
Answers
Answer:
$750 that is the answer if you add them all up
describe system of linear equations using practical situation and mathematical expressions
pahelp pooo
Answers
Answer:
A system of linear equations is a collection of two or more linear equations, and a solution to a system of linear equations consists of values of each of the unknown variables in the system that satisfies all of its equations, or makes them true.
A triangle is rotated 90° about the origin. Which rule describes the transformation?
(x, y) - (x, y)
(x,y) - (y,x)
(x,y) - Gy. -x)
(x, y) - (y. -)
Answers
Answer: The rule (x,y)=(y,-x) describes the
transformation
Step-by-step explanation:.........bc
A sample of gold has a mass of 579 g. The volume of the sample is 30 cm3. What is the density of the gold sample?
Answers
The density of the gold sample is 19.3g/cm³
Let the mass of the gold sample be represented by m
m = 579 g
Let the volume of the gold sample be represented by V
V = 30 cm³
Let the density of the gold sample be represented by ρ
The formula for the density is:
[tex]Density = \frac{Mass}{Volume}[/tex]
[tex]\rho = \frac{m}{V} \\\rho = \frac{579}{30} \\\rho = 19.3 g/cm^3[/tex]
The density of the gold sample is 19.3g/cm³
Learn more here: https://brainly.com/question/17780219
Solve each division problem, and classify it based on its quotient.
Answers
Answer:we are not your servers to that i should solve this problems
Step-by-step explanation:
Answer:
I have no idea? the first is 11 the second is 5 the three is 11 again the last 2 are 1
Step-by-step explanation:
Prove that:
[tex] \cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1 [/tex]
Please solve this problem because tomorrow is my maths exam.
Answers
Explanation:
On taking LHS
Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]
We know that
π = 180°
2π = 2×180° = 360°
3π/2 = (3×180°)/2 = 540°/2 = 270°
Now
LHS becomes
Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]
We know that
Cos (270°+θ) = Sin θ
Cos (360°+θ) = Cos θ
Cot (270°-θ) = Tan θ
Cot (360°+θ) = Cot θ
→ Sin θ Cos θ [Tan θ + Cot θ]
→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]
→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]
→ Sin θ Cos θ [1/(Sin θ Cos θ)]
Since Sin²θ+Cos²θ = 1
→ (Sin θ Cos θ)/(Sin θ Cos θ)
→ 1
→ RHS
→ LHS = RHS
Hence, Proved.
Here are the formulae that I have used:
→ π = 180°
→ Cos (270°+θ) = Sin θ
→ Cos (360°+θ) = Cos θ
→ Cot (270°-θ) = Tan θ
→ Cot (360°+θ) = Cot θ
Here are the Trigonometric Identities that I have used:
→ Sin²θ+Cos²θ = 1
Need help on the 2 questions ASAP and SHOW WORK PLEASE !!!! 50 points ????
Answers
Answer:
-4 - 8-=-4
Step-by-step explanation:
What is the product?
(45+2)(582 +10s+3)
0 2052 + 205+6
O 2083 +40s2+12s
0 2033 + 1082 +325+ 6
0 2053 +5082 +325+6
+
Answers
Step-by-step explanation:
(4s + 2) × (5s² + 10s +3)
we know immediately the first and the last term of the result, because there is only one operation to build them :
20s³ and 6.
so, the first answer option is already eliminated.
let's multiply
4s×5s² + 4s×10s + 4×3s + 10s² + 20s + 6
20s³ + 40s² + 12s + 10s² + 20s + 6
20s³ + 50s² + 32s + 6
so, the last answer option is correct.
What is 20 x 4
a. 68
b. 40
c. 82
d. 91
Answers
Answer:
None of the above
Step-by-step explanation:
20 x 4 = 80
20 + 20 +20 =20 = 80
Mrs. Larsen wants to get some markers for her class. She notices that they come in boxes of
8.
Write an equation that shows how the total number of markers Mrs. Larsen gets, y, depends
on the number of boxes she buys,X.
y =
(i’ll crown brainliest to whoever answers first, i don’t need the explanation just the answer and how i’m supposed to write it out)
Answers
Answer:
y=8x
Step-by-step explanation:
hubsdgvgcsvya
The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;
⇒ y = 8x
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Mrs. Larsen wants to get some markers for her class.
She notices that they come in boxes of 8.
Now,
Let total number of markers = y
And, Number of boxes = x
Here, She notices that they come in boxes of 8.
So, We can formulate;
⇒ y = 8x
Thus, The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;
⇒ y = 8x
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Solve for the missing angle measures.
Answers
Answer:
Q1 b = 105 c= 75 D=105
Step-by-step explanation:
A aNd C are the same and B and D are the same as they are opposite angles. So , 75 +75 = 150 . Then , 360 - 150 = 210 . 210÷ 2 = 105
Hence,
A= 75 B = 105 C=75 D = 105
Help right now, 12/5 into a mixed number and 21/9
Answers
21/9 (2 3/9) (2 1/3 if simplified!) should be your correct answers if I’m not mistaken! Hope this helps!
CAN SOMEONE PLZ HELP WITH 6 I WILL MARK YOU BRAINLIEST!!!!!
Answers
Answer: I dont see anything....
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST NO FAKE ANSWERS
Represent algebraically
Answers
1. 3n - 5
Five less = -5
Than thrice (three times) a number = 3n
2. 7n + 3
The product of 7 and a number = 7n
Added to 3 = + 3
3. 1/2(3n - 4)
One-half = 1/2
The difference of thrice a number and 4 = 3n - 4
Hope this helps!! :)
Answer:
1. 5-x
2. (7*x)+x
3. 1/2(3x-4)
Heba ate 1/12 of a box of cereal. Now the box is 3/4 full
What fraction of a full box was there before Heba ate?
Answers
Answer:
5/6
Step-by-step explanation:
1/12 + 3/4 = 9/12
9/12 + 1/12 = 10/12
simplify 10/12
= 5/6
Hope it helps
Just give me an answer please
Answers
Answer:
Step-by-step explanation:
option 2, gl
Answer:
A and C
Step-by-step explanation:
Which of the following best represents the solution to this system (3x+2y<2
Answers
Answer:
y < (2 - 3x)/2.
Step-by-step explanation:
(3x+2y)<2
2y < 2 - 3x
y < (2 - 3x)/2
If x-1/x=3, find the value of x^2+1/x^2
please show steps too…
Answers
Answer:
5
Step-by-step explanation:
x=-1/2
Help
Ill mark u as brainlest if ur answer is clear
Thank you
Answers
Answer:
[tex]x=55[/tex]
Step-by-step explanation:
To solve this question you need to know some properties of a parallelogram which is the shape given.
Firstly, remember that in a parallelogram opposite angles are equal.
Secondly, remember that the diagonals of a parallelogram bisect each other.
Lastly, remember that the sum of the interior angles of a quadrilateral or a parallelogram is 360°.
So, by using the first property we can see that because [tex]<[/tex]PQR=70° then [tex]<[/tex]PSR must be equal to 70° as well.
Now, we can use the last property to find [tex]<[/tex]SPQ then, use the second property to find [tex]x[/tex].
Let's name [tex]<[/tex]SPQ, [tex]y[/tex].
and That gives:
[tex]2y+140=360[/tex]
Subtract 140 from both sides:
[tex]2y=360-140[/tex]
[tex]2y=220[/tex]
[tex]y=\frac{220}{2}[/tex]
[tex]y=110[/tex]
So, [tex]<[/tex]SPQ=110 and
Now using the second property we can find that:
[tex]<[/tex]SPQ=[tex]2x[/tex]
And [tex]2x=110[/tex]
[tex]x=\frac{110}{2}[/tex]
[tex]x=55[/tex]
Hope this helped.
Can anyone help me with this?
Answers
Answer:
x = 42 degrees
y = 37 degrees
Step-by-step explanation:
Those are right angle triangles. So you know the right angles are 90 degrees, and each triangle gives you the measurement of another angle.
So, take the triangle in the top left (x):
180 - 90 - 48 = x
Same with the other triangle (y)
180 - 90 - 53 = y
You collect a total of $75 in donations from three people. The three donations are in the ratio 4 : 4 : 7.
Answers
Answer:
20 20 35
Step-by-step explanation:
4+4+7 then divide by 75 whatever answer you get multiplyy by the 4 or the other 4 or the 7
Please Please Help Me. Put the following equation of a line into slope-intercept form, simplifying all fractions.
2y-2x= -14
Answers
Answer:
y = x-7
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
2y -2x = -14
Add 2x to each side
2y-2x+2x= 2x-14
2y = 2x-14
Divide by 2
2y/2 = 2x/2 -14/2
y = x-7
Please help me, I will be so thankful
Answers
Answer:
Step-by-step explanation:
g(-4) = 4 , x < -2
g(-2) = (x - 1)² ; -2≤x< 1
= (-2-1)²
= (-3)²
g(-2) = 9
g(0) = (x -1)² ; -2 ≤ x < 1
= (0 -1)²
= (-1)²
= 1
15. You take a trip to downtown Boston to walk the Freedom Trail with your family. After you walk
through the Bunker Hill Memorial, your family decided to take a taxi to a restaurant for dinner. After 1
mile, the meter on the taxi says $475. It will cost $6.50 to go 2 miles. The cost varies linearly with the
distance that you have traveled (In other words, there is a constant rate of change).
Answers
This is because when the x value equals 1 the y value equals 4.75. And when the x value equals 2 the y value equals 6.50, so the rate of change is between the 2 y values which is linear so it has a constant rate of change of $1.75.