Answer:
Step-by-step explanation:
Prime factorize 27 and 16
27 = 3 * 3 * 3
16 = 2 * 2 * 2 * 2
[tex]\frac{\sqrt{27}}{\sqrt{16}}=\frac{\sqrt{3*3*3}}{\sqrt{2*2*2*2}}[/tex]
[tex]= \frac{3\sqrt{3}}{2*2}\\\\\\=\frac{3\sqrt{3}}{4}[/tex]
Answer: (3√3)/4
Explanation:
√(27/16)
=(3√3)/4
Because 27 = 3²×3
And 16 = 4²
So 4 is left and one 3 goes out and one stays in
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Find the missing side of the triangle.
Answer:
x = 2(sqrt26) or x = 10.1980390272...
Step-by-step explanation:
Right triangles can be solved using Pythagorean theorem, where the legs are squared and added together to get the hypotenuse's length squared.
If we set up the equation:
11^2 + x^2 = 15^2
which is
121 + x^2 = 225
subtract 121 from both sides
x^2 = 104
sqrt both sides
x = 2(sqrt26), or x = 10.1980390272...
Answer:
Using Pythagoras theorem
c²=a²+b²
(15)²=x² +(11)²
225=x²+ 121
-x²=121-225
-x²=-104
multiply both sides by (-1)
x²=104
x=✓104
x=10ft
John has a cylindrical propane tank that measures 8" in diameter and 8" tall If John
buys a new cylindrical propane tank that is twice as wide and half as tall as his
current tank, how much larger will the volume of the new tank be?
Answer:
2 times as large
Step-by-step explanation:
For the original cylinder, we can say that the volume of a cylinder is equal to V= πr²h. For this cylinder, we can say that V = π * radius² * height. The radius is equal to 1/2 of the diameter, so the original radius is 8/2 = 4. Therefore, the volume of the original cylinder is V = π * radius² * height = π * 4² * 8 = π * 16 * 8 = π * 128
For the new cylinder, "twice as wide" means that the diameter is twice as big as the original one. Half the height means that the height is halved. The new diameter is therefore 8 * 2 = 16 (meaning that the new radius is 16/2=8) while the new height is 8/2 = 4. The new volume is thus
V = π * radius² * height = π * 8² * 4 = π * 64 * 4 = π * 256
To see how much larger the new tank volume is, we can divide (new tank volume) by (old tank volume), resulting in
π * 256 / (π *128) = 2
if the value of a any quadratic function f (x)=ax^2 + BX + C is -8, the function will
Answer:
The parabola will open downward
Step-by-step explanation:
f (x)=ax^2 + BX + C
Since a = -8
The parabola will open downward
When a< 0 the graph opens downwards
a>0 the graph opens upwards
PLEASE HELP ME!!! GIVING BRAINLYEST!!!
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:
Which statement best describes the relationship between the positions of the two players?
Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Answer:
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Step-by-step explanation:
The x-coordinates are equal, -6.
The y-coordinates are opposites, 3 and -3.
Answer: Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Answer:
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Step-by-step explanation:
If you were to mirror Dog 1’s position over the x-axis, it would overlap on Dog 2’s position. Coordinates are written as (x, y). The coordinates on this graph are (-6, 3) and (-6, -3). The -6 in the x-value places are the same, but the y-values are different.
The sum of 3x2 +x+8 and x- 9 can be expressed as
Answer:
2x + 5
Step-by-step explanation:
((3x2)+x+8) + (x-9)
= ((6) + x +8) + (x -9)
= (14 +x) + (x-9)
= 14 + x + x -9
= 2x + 5
answered by g a u t h m a t h
State the linear programming problem in mathematical terms, identifying the objective function and the constraints. A breed of cattle needs at least 10 protein and 8 fat units per day. Feed type I provides 5 protein and 3 fat units at $5/bag. Feed type II provides 4 protein and 4 fat units at $3/bag. Which mixture fills the needs at minimum cost
Answer:
Step-by-step explanation:
Let x and y represent the quantities of feed type I and feed type II, respectively.
Constraints
5x +4y ≥ 10 . . . protein requirements
3x +4y ≥ 8 . . . . fat requirements
x ≥ 0, y ≥ 0 . . . can't have negative quantities
Objective Function
Minimize 5x +3y
__
The graph shows the solution to be ...
2.5 bags of Feed Type II will fill the need at minimum cost.
90./04/ (C) 98.7877 TD) (D) 98.7777 12. If two perpendicular sides of a right-angled triangle are 5 cm and 12 cm, its perimeter is: (A) 13 cm (B) 17 cm (C) 27 cm (D) 30 cm 3. An article is purchased for 7,500 and sold for 8,400. The profit percent is : (A) 8% (B) 10%
Answer:
1) D - 30 cm 2) 12 percents
Step-by-step explanation:
The first question was If two perpendicular sides of a right-angled triangle are 5 cm and 12 cm, its perimeter is: (A) 13 cm (B) 17 cm (C) 27 cm (D) 30 cm
two perpendicular sides are legs, find the hipotenuse of the triangle
It is equal to sqrt(5^2+12^2)= sqrt169=13
5+12+13=30 - D - the perimeter
The second question
7500 -100 percents
8400- x
7500/8400=100/x
75/84=100/x
(25/28)*x=100
(1/28)*x=4
x=4/(1/28)= 4*28= 112 percents
The profit is 12 percents
2) Option D is correct. If two perpendicular sides of a right-angled triangle are 5 cm and 12 cm, its perimeter will be 30cm.
3) None of the given options are correct. If an article is purchased for 7,500 and sold for 8,400, the profit percentage will be 12%
2) A right-angled triangle is a triangle with three sides and one of its angles is 90degrees. Find the image of a right-angled triangle attached below.
The triangle consists of 3 sides which are:
The opposite sideThe adjacent sideThe hypotenuse sideBefore we can get the perimeter of the right triangle, we need to get the third side first (the hypotenuse side) using the Pythagoras theorem. According to the theorem:
[tex]c^2=a^2+b^2[/tex]
Given
a = 5 cm
b =12 cm
[tex]c^2=5^2+12^2\\c^2=25+144\\c^2=169\\c=\sqrt{169}\\c=13 cm[/tex]
Perimeter of the right triangle = a + b + c
Perimeter of the right triangle = 5 cm + 12 cm + 13 cm
Perimeter of the right triangle = 30 cm
Hence the perimeter of the right triangle is 30 cm.
3) If an article is purchased for 7,500, then;
Cost price (C.P) = 7,500If the same article is sold for 8,400, then:
Selling price (S.P) = 8,400[tex]\% profit=\frac{SP-CP}{CP} \times 100[/tex]
Substitute the given parameters
[tex]\% profit=\frac{8400-7500}{7500} \times 100\\\%profit=\frac{900}{7500} \times 100 \\\%profit=\frac{900}{75}\\\% profit = 12 \%[/tex]
This shows that the profit percent is 12%
Learn more on perimeter and percentage profit here: https://brainly.com/question/23264165
https://brainly.com/question/22104935
For which indicated domain are both the inequalities x > 2 and
x < 4 true?
Answer:
C.
2 must be less than x if x is greater than 2, and x must be less than 4 if 4 is greater than x.
if f(n) = 6-2n, find f(-1)
Answer:
8
Step-by-step explanation:
f(n)= 6-2n
f(-1) = 6- 2(-1)
= 6+2
=8
$17,818 is invested, part at 11% and the rest at 6%. If the interest earned from the amount invested at 11% exceeds the interest earned from the amount invested at 6% by $490.33, how much is invested at each rate? (Round to two decimal places if necessary.)
Answer:We know the total amount of money invested. $17818
x+y=17818,
We know that the difference in interest earned by the two accounts is $490.33
0.11*x-0.06*y=490.33
x=17818-y
We substitute for x
0.11*(17818-y)-0.06*y=490.33
We multiply out
1959.98-0.11y-0.06*y=490.33
We combine like terms.
1469.65=0.17*y
Isolate y
y=1469.65/0.17
y=8645 at 6%
Calculate x
x=17818-8645
x=9173 at 11%
Check
0.11*9173-0.06*8645=490.33
interest earned at 11%=1009.03
interest earned at 6%=518.70
1009.03-518.7=490.33
490.33=490.33
Since this statement is TRUE and neither amount is negative then all is well.We know the total amount of money invested. $17818
x+y=17818,
We know that the difference in interest earned by the two accounts is $490.33
0.11*x-0.06*y=490.33
x=17818-y
We substitute for x
0.11*(17818-y)-0.06*y=490.33
We multiply out
1959.98-0.11y-0.06*y=490.33
We combine like terms.
1469.65=0.17*y
Isolate y
y=1469.65/0.17
y=8645 at 6%
Calculate x
x=17818-8645
x=9173 at 11%
Check
0.11*9173-0.06*8645=490.33
interest earned at 11%=1009.03
interest earned at 6%=518.70
1009.03-518.7=490.33
490.33=490.33
Since this statement is TRUE and neither amount is negative then all is well.
12.5% of it is 6 hrs
Answer:
48 hours
Step-by-step explanation:
12.5/100 = 6/x
1. cross-multiply
12.5 × x = 12.5x
100 × 6 = 600
2. divide
12.5x/12.5 = x
600/12.5 = 48
3. answer
x = 48
Aidan has four cards with +, -, x, ÷ printed on them.
He inserts them between the five numbers 5, 4, 3, 2 and 1 to form the expression 5 + 4 x 3 -2 , which the value 15.
Emma says:
"Aidan put the operation in the order +, -, x, ÷.
If I place the operation cards in a different order between the number 5, 4, 3, 2, 1. I can make the value equal to 19."
Which operation would Emma do first?
9514 1404 393
Answer:
multiply (×)
Step-by-step explanation:
5 ×4 - 3 +2 ÷1 = 19
Emma would place the multiply (×) operation first.
-3x^5y^7/6xy^8
PLEASE HELP
9514 1404 393
Answer:
-x^4/(2y)
Step-by-step explanation:
Perhaps you want to simplify ...
[tex]-\dfrac{3x^5y^7}{6xy^8}=-\dfrac{3}{6}x^{5-1}y^{7-8}=-\dfrac{x^4y^{-1}}{2}=\boxed{-\dfrac{x^4}{2y}}[/tex]
__
The applicable rules of exponents are ...
(a^b)/(a^c) = a^(b-c)
a^-b = 1/a^b
_____
Comment on notation
When writing a fraction in plain text, any denominator that includes an arithmetic operation must be enclosed in parentheses. Your given expression is properly written as ...
-3x^5y/(6xy^8)
Without the parentheses, the product xy^8 is in the numerator. This is demanded by the order of operations, which requires you evaluate your expression as (-3x^5y^7/6)·xy^8
find the square root of 121/225
Answer:
11/15 or .73333333...
Step-by-step explanation:
heres how i went about it:
think of it as a fraction,
121
------
225
to find the sqyare root of a fraction you would find the square root of each number individually
√121=11
√225=15
then you divide them and get .73333333333333333...
bad at explaining but hope this helped <3
The length of the red line segment is 8 and the length of the blue line segment is 4. How long is the major axis of the eclipse?
The major axis of the eclipse is 12 units long
The given parameters can be represented as:
[tex]Red = 8[/tex]
[tex]Blue = 4[/tex]
See attachment for illustration
To solve this question, we make use of the following theorem
The distance between a point and the foci sums up to the major axis
This translates to:
[tex]Major\ axis = Red + Blue[/tex]
[tex]Major\ axis = 8 + 4[/tex]
[tex]Major\ axis = 12[/tex]
Read more at:
https://brainly.com/question/11395328
Question
Find the volume of a cone with a height of 9 centimeters and a radius of 5 centimeters.
Use 3.14 to approximate pi, round your answer to the nearest hundredth if necessary, and do not include units.
Answer:
235.5
Step-by-step explanation:
Substitute the values into the equation [tex]V=\pi r^2 \frac{h}{3}[/tex], which is the formula for finding the volume of a cone.
[tex]V=(3.14)(5^2)\frac{(9)}{3}[/tex]
Simplify.
[tex]V=(3.14)(25)(3)[/tex]
Simplify again.
[tex]V=(78.5)(3)[/tex]
Simplify for the last time.
[tex]V=235.5[/tex]
Note, using 3.14 will give you 235.5, but if you use the [tex]\pi[/tex] button on a scientific calculator, your answer will be 235.62. Given the constraints of the problem, your best bet will be 235.5.
Choose a variable to isolate and what it is equal to in the
system of equations below.
16x = 2y + 18
4y = 3x - 1
A. X = -8y + 9
B. y = X-9
C. y = 8X-9
O D. y = 8x + 9
Answer:
С. y=8x-9
Step-by-step explanation:
Solve the system of equations
3x=4y+1
16x=2y+18 (multiply by -2)
-32x= -4y-36
3x-32x= 4y+1-4y-36
-29x= -35
x=35/29
4y= 3*35/29-1= 105/29-29/29=76/29
y= 76/29: 4/1= 19/29
You know x and y, then attempt to replace x,y in every equation (from A to D) on 35/29 and 19/29 respectively. If the left and right part in some equation are equal after replacing that's the correct answer.
In C 19/29= 8*35/29- 9
19/29=19/29
It is correct.
Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the line
through the points rises, falls, is horizontal, or is vertical
(2,9) and (-2,9)
Using Eulers formula, how many edges does a polyhedron with 9 faces and 14 vertices have?
F + V = E + 2
SolutionF = 9V = 14E = ?Substuting the values⇨ 9 + 14 = E + 2
⇨ 23 = E + 2
⇨ 23 - 2 = E
⇨ 21 = E
Hence , the number of edges in polyhedron is 21.
The number of edges of a polyhedron with 9 faces and 14 vertices have will be 21.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
here, we have,
Using Euler's formula, the number of the edges does a polyhedron with 9 faces and 14 vertices have
We know the formula for the edges of the polyhedron will be
By Euler's Formula
F + V = E + 2
The number of faces, vertices, and edges of a polyhedron are denoted by the letters F, V, and E.
Then we have
Solution
F = 9
V = 14
E = ?
Substuting the values
⇨ 9 + 14 = E + 2
⇨ 23 = E + 2
⇨ 23 - 2 = E
⇨ 21 = E
Hence , the number of edges in polyhedron is 21.
More about the polygon link is given below.
brainly.com/question/17756657
#SPJ2
Please help. Question #12
Answer:
Step-by-step explanation:
4 + 1n(x-1)=3 solve for x
[tex]\\ \sf \longmapsto 4+10(x-1)=3[/tex]
[tex]\\ \sf \longmapsto 4+10x-10=3[/tex]
[tex]\\ \sf \longmapsto 10x-6=3[/tex]
[tex]\\ \sf \longmapsto 10x=3+6[/tex]
[tex]\\ \sf \longmapsto 10x=9[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{9}{10}[/tex]
Beginning in January, a person plans to deposit $1 at the end of each month into an account earning
15% compounded monthly. Each year taxes must be paid on the interest earned during that year. Find
the interest earned during each year for the first 3 years.
Answer:
hi I am a Nepal
[tex] {233333}^{2332} [/tex]
Help me Please I need this
there are 7 vertices in this shape
Answer:
7.
Step-by-step explanation:
The vertices are the points where the lines meet.
Х
30°
Calculate the size of angle x.
angle x =
I
If one Angle is = 30
And the other two angles are equal
Given: x = l
ATQ
⇒30+x+l= 180
⇒x + x = 180-30
⇒2x = 150
⇒x = 150/2
⇒x = 75
Therefore x = 75
And the angles are 30, 75 and 75
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If path has 56 marbles and he gave Sandra 34 how many marbles will he have left?
Answer:
22
Step-by-step explanation:
You just subtract them
56-34
= 22
Solve each equation for the given variable?
Answer:
1. x = 20 2. n = 50
Step-by-step explanation:
1/4x - 2 = 3
1/4x = 5
x = 20
2. 8 = 1/5n - 2
10 = 1/5n
n = 50
Answer:
Question 1
Original equation:
1/4x-2=3
Add 2 to both sides:
1/4x=5
Multiply both sides by 4/1:
x=20
Question 2
Original equation:
8=1/5n x 2
Divide both sides by 2
4 = 1/5n
Multiply both sides by 5/1
n=20
Let me know if this helps!
Writing Inequalities Ouestion 22 A number increased by three is at most -7
Answer:
can you please specify the question i mean is this like
Step-by-step explanation:
let the no. be x
ATQ
3x-7
or
3x= -7
Pedro : 80%
Javier: 90%
Marcos: 75%
1. If during a month Pedro has taken 30 free throws, how many will he have hit?
Si durante un mes Pedro ha lanzado 30 tiros libres, ¿cuántos habrá acertado?
2. If Javier hits 4 free throws in a match, how many has he taken?
Si Javier acerta 4 tiros libres en un partido, ¿cuántos ha lanzado?
Answer:
1. 24
2. 4.444... (or 4 rounded to the nearest whole number)
Step-by-step explanation:
1. 80/100 = x/30
cross-multiply
100 × x = 100x
80 × 30 = 2400
divide
100x/100 = x
2400/100 = 24
answer
x = 24
2. 90/100 = 4/x
cross-multiply
90 × x = 90x
100 × 4 = 400
divide
90x/90 = x
400/90 = 4.444...
answer
x = 4.444...
56÷(7-9)^3 -24/23-5×4
Answer:
= −28.043478261
Step By Step Explanation
Answer From Gauth Math
-36 = 6(2-8n) please
Answer:
n=1
Step-by-step explanation:
-36 = 6(2-8n)
-36=12-48n
-36-12=-48n
-48=-48n
n=1
