Hope it helps you! ........
6th Grade Math:
The marked price of a water cooler is $4650. The shopkeeper offers an off-season discount of 18% on it. Find its selling price.
Answer:
$5000
Step-by-step explanation:
use prime factorization to find square root of 196
Answer:
14
Step-by-step explanation:
You should always specify if you want an exact answer or a rounded one. I'll assume the former.
Prime Factors
196 = 2 * 98196 = 2 * 2 * 49196 = 2 * 2 * 7 * 7Rule
For every 2 factors under the root sign, take 1 outside the root sign and throw the other one away.
Solution
[tex]\sqrt{2 * 2 * 7 *7}[/tex]
2 * 7 * √1
14
find the angle sum of polygon which had 9 sides
Answer:
1260°
Step-by-step explanation:
Number of sides was given as 9, hence ( n= 9)
Sum of interior angle of a polygon can be determined using the expression below
[(2n-4)90°]
Substitute n=9
[((2×9) -4)) ×90]
= [(18-4)×90]
(14×90)=1260°
Hence, angle sum of polygon which had 9 sides is 1260°
60 POINTS! (Reported if incomplete/absent)
Three neighbors plan to complete fencing projects this spring. As shown in the diagrams below, Neighbor A plans to fence in his rectangular backyard with a 6-foot tall wooden privacy fence. Neighbor B plans to construct a circular chain link fence around his pool. And, Neighbor C is putting a vinyl fence around three side of his front yard. Note: Diagrams are not drawn to scale. Intended fences are marked with a dashed line.
Answer:
- The neighbor that has the most amount of fence to put up is: Neighbor A.
- The neighbor that has the least amount of fence to put up is: Neighbor C.
Step-by-step explanation:
To calculate the amount of fence that Neighbor A has to put up, you need to add the following distances:
Convert yards to feet (Remember that :
To calculate the amount of fence that Neighbor B has to put up, you need to use the formula for calculate the circumference of a circle:
Where r is the radius.
In this case, the radius is:
Substituting, you get:
To calculate the amount of fence that Neighbor C has to put up, you need to add the following distances:
Therefore, the neighbor that has the most amount of fence to put up is: Neighbor A.
The neighbor that has the least amount of fence to put up is: Neighbor C.
hope this helps btw i just copy and pasted this so its not my work
Answer:
- The neighbor that has the most amount of fence to put up is: Neighbor A.
- The neighbor that has the least amount of fence to put up is: Neighbor C.
Step-by-step explanation:
The upper-left coordinates on a rectangle are (-6,0)(−6,0)left parenthesis, minus, 6, comma, 0, right parenthesis, and the upper-right coordinates are (-4,0)(−4,0)left parenthesis, minus, 4, comma, 0, right parenthesis. The rectangle has an area of 121212 square units. Draw the rectangle on the coordinate plane below.
Answer:
See attachment for rectangle
Step-by-step explanation:
Given
[tex]A = (-6,0)[/tex]
[tex]B = (-4,0)[/tex]
[tex]Area = 12[/tex]
Required
Draw the rectangle
First, we calculate the distance between A and B using distance formula;
[tex]AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
[tex]AB = \sqrt{(-6 - -4)^2 + (0- 0)^2}[/tex]
[tex]AB = \sqrt{(-2)^2 + (0)^2}[/tex]
[tex]AB = \sqrt{4 + 0}[/tex]
[tex]AB = \sqrt{4}[/tex]
[tex]AB = 2[/tex]
The above represents the length of the triangle.
Next, calculate the width using:
[tex]Length * Width = Area[/tex]
[tex]2* Width = 12[/tex]
Divide both sides by 2
[tex]Width = 6[/tex]
This implies that, the width of the rectangle is 6 units.
We have:
[tex]A = (-6,0)[/tex]
[tex]B = (-4,0)[/tex]
Since A and B are at the upper left and right, then the ther two points are below.
6 units below each of the above point are:
[tex]C = (-6,0-6)\\[/tex] => [tex]C = (-6,-6)[/tex]
[tex]D = (-4,0-6)[/tex] => [tex]D = (-4,-6)[/tex]
Hence, the points of the rectangle are:
[tex]A = (-6,0)[/tex]
[tex]B = (-4,0)[/tex]
[tex]C = (-6,-6)[/tex]
[tex]D = (-4,-6)[/tex]
See attachment for rectangle
HELP PLS
all the info you need is in the picture
need to solve for x
Answer:
x=8
Step-by-step explanation:
x^2 - 48 = 2x
x^2 - 2x - 48=0
(x+6)(x-8)=0
x+6=0 x-8=0
x= - 6 x=8
can not be negative so the answer is x=8
Answer:
hi long time no talk we need to talk on padle* i left msgs
Step-by-step explanation:
This equilateral triangle has side lengths of 6 inches and a height of approximately 5 inches. Find the area, given these dimensions.
To find the area of a triangle we use this equation:
[tex]\frac{1}{2} bh\\[/tex]
b= base
h= height
So since we are given the information that the sides are 6 and the height is 5 we simply can plug the information right into the equation:
[tex]\frac{(6)(5)}{2}[/tex]= 15
So the are is 15 inches sqaured, hope this helps :)
Which expression correctly shows the difference between the product of 11 and 7 and the sum of 6 and 10?
a: 11× (7-6) + 10
b: (11×7) + (6+10)
c: 11 x (7+ 6) + 10
d: (11×7) - (6 + 10)
9514 1404 393
Answer:
d: (11×7) - (6 + 10)
Step-by-step explanation:
"the product of 11 and 7" is 11×7.
"the sum of 6 and 10" is (6 +10).
The difference between the product and the sum is ...
(11×7) -(6 +10) . . . . . matches choice D
The list below displays the number of different burgers sold at Joe's restaurant during
one shift.
.
Cheese: 10
Double Meat: 6
Triple Meat: 5
Jalapeno: 4
If this trend continues, how many cheese or jalapeno burgers did they sell if the total
burgers sold were 150?
F 72
G 84
H 96
100
If θ is an angle in standard position and its terminal side passes through the point (21,-20), find the exact value of \cot\thetacotθ in simplest radical form.
The exact value of the cotangent of theta in simplest radical form is -21/20.
What is the simplest radical form?
The simplest radical form is the expression of a radical without any factors inside the radical that can be further simplified.
To find the exact value of cotangent of theta, we need to find the values of cosine and sine of theta first.
Given that the terminal side of the angle passes through the point (21,-20), we can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the angle and the x and y-axes:
[tex]h = \sqrt{(21^2 + (-20)^2)} = \sqrt{(841 + 400)} = \sqrt{(1241)}[/tex]
Then, we can find the values of cosine and sine of theta using the x and y-coordinates of the point:
cos(theta) = adjacent/hypotenuse = 21/sqrt(1241)
sin(theta) = opposite/hypotenuse = -20/sqrt(1241)
Now we can find the value of cotangent of theta:
cot(theta) = cos(theta) / sin(theta) = (21/sqrt(1241)) / (-20/sqrt(1241))
= -21/20
Therefore, the exact value of the cotangent of theta in simplest radical form is -21/20.
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Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form.
Answer:
1- 35/37
2- 12/37
3- 35/37
4- 12/37
Step-by-step explanation:
The sine of an angle is the ratio of the opposite to the hypotenuse while the cos of an angle refers to the ratio of the adjacent to the hypotenuse. Therefore, the following is true:
Sin D = opposite/hypotenuse = 35/37 -has no simplest form Sin E = opposite/hypotenuse = 12/37 -has no simplest form Cos D = adjacent/hypotenuse = 12/37 -has no simplest form Cos E = adjacent/hypotenuse = 35/37 -has no simplest form
These are fractions that can't be simplified, so they remain the same.
Hope this helps!!
The measure of the trigonometric relations are solved
sin D = 35/37
sin E = 12/37
cos D = 12/37
cos E = 35/37
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ΔDEF
Now , the measure of sides of triangle are
The measure of side DE = 37
The measure of side EF = 35
The measure of side DF = 12
Now , from the trigonometric relations
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
On simplifying , we get
sin D = 35/37
sin E = 12/37
cos D = 12/37
cos E = 35/37
Hence , the measures of trigonometric relations are solved
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factor this equation 75k^2+30k=-3
If y varies directly with x according to the relationship y = kx, and y = 7.5 when x = 2.5, determine the constant of variation k.
Answer:5
Step-by-step explanation:
Select the correct answer.
If the graph of f(x) = 4x is shifted 7 units to the left, then what would be the equation of the new graph?
A.
g(x) = 4x + 7
B.
g(x) = 4(x + 7)
C.
g(x) = 4(x − 7)
Answer:
g(x) = 4(x + 7)
Step-by-step explanation:
i had this on a test i just took so it told me it was right bit if it is not i am sorry and i will recheck
Write the square roots of 49 i in ascending order of the angle.
Answer:
The square roots of 49·i in ascending order are;
1) -7·(cos(45°) + i·sin(45°))
2) 7·(cos(45°) + i·sin(45°))
Step-by-step explanation:
The square root of complex numbers 49·i is found as follows;
x + y·i = r·(cosθ + i·sinθ)
Where;
r = √(x² + y²)
θ = arctan(y/x)
Therefore;
49·i = 0 + 49·i
Therefore, we have;
r = √(0² + 49²) = 49
θ = arctan(49/0) → 90°
Therefore, we have;
49·i = 49·(cos(90°) + i·sin(90°)
By De Moivre's formula, we have;
[tex]r \cdot (cos(\theta) + i \cdot sin(\theta) )^{\dfrac{1}{2}} = \pm \sqrt{r} \cdot \left (cos\left (\dfrac{\theta}{2} \right ) + i \cdot sin\left (\dfrac{\theta}{2} \right ) \right )[/tex]
Therefore;
√(49·i) = √(49·(cos(90°) + i·sin(90°)) = ± √49·(cos(90°/2) + i·sin(90°/2))
∴ √(49·i) = ± √49·(cos(90°/2) + i·sin(90°/2)) = ± 7·(cos(45°) + i·sin(45°))
√(49·i) = ± 7·(cos(45°) + i·sin(45°))
The square roots of 49·i in ascending order are;
√(49·i) = - 7·(cos(45°) + i·sin(45°)) and 7·(cos(45°) + i·sin(45°))
Select all names that apply to the number. The length of the side of a square that has an area of 77 square yards.
A real
B whole
C rational
D irrational
E integer
The length of the side would be sqrt(77) = 8.7749.....
This can be classified as two answers:
A and D
This is a real number
It is also an irrational number because it can’t we written as a simple fraction.
can someone please help me asap ill give extra brainly points!!!
Answer:
94.20 yds
Step-by-step explanation:
C = 2 pi r
2 pi (15) = 94.20 yds
Solve the system of equations below
3x - 4y = 12
12y - 9 = 36
Answers:
A) x = -4, y = 3
B) x = 4, y = -3
C) no solution
D) infinitely many solutions
Help me please
Which of the following describes the data set 6,8,13,15,21,23,31
Answer:
what are the answer choices?
i'll edit my answer if you give them to me and i know the answer
Step-by-step explanation:
Answer:
It has two numbers per turn. The first is 2 and stays the same the whole time. The second number starts as 5, but every time it hits that number, it increases by 1.
Step-by-step:
As we already know, two starts off the turn, so every number on this turn will increase by 2 (6+2=8.)
Now, for this one, we have five, so for this turn we'll increase it by that much (8+5=13).
However, this number won't stay at 5. Instead, it will increase by 1 every time we hit this turn. Let's continue one:
Turn Two = 13+2=15
Turn 5+1 = 6 = 15+6=21
Turn Two = 21+2=23
Turn 6+1 = 7 = 23+7=31
And from there, the pattern would/will continue!
Hope this helped! <3
Source(s) used: N/A
A freight elevator is holding 15,893 pounds of merchandise stored in containers. Another container weighing 3,473 pounds is placed on the elevator. Then a container weighing 5,492 pounds is taken off the elevator. Let w represent the weight that the elevator is holding. Which equation could be used to solve for the the amount of weight the freight elevator is holding after the container is taken off of it?
Answer: [tex]W=13,874\ \text{Pounds}[/tex]
Step-by-step explanation:
Given
Elevator holds [tex]15,893\ \text{Pounds}[/tex] of merchandise
Now, 3473 Pounds of the box is loaded, and then 5492 Pound of the container is taken off
Net weight held by elevator is
[tex]\Rightarrow W=15,893+3473-5492\\\\\Rightarrow W=13,874\ \text{Pounds}[/tex]
Select the correct answer.
What is the solution set of y = x² + 2x + 7 and y = x + 7?
A.
{(0, 7), (-1, 6)}
B.
{(0, 7), (-7, 0)}
C.
{(0, 7), (1, 8)}
D.
{(-2, 0), (4, 0)}
Answer:
c
Step-by-step explanation:
The diagram shows a right-angled triangle.
hcm
48°
18 cm
What is the value of h?
Give your answer
Answer:
13.4
Step-by-step explanation: sin= opposite/ hyp sin(48) = h/ 18 h = sin(48) * 18
Of the last 18 trains to pull into Castroville Station, 12 were full. Considering this data, how many of the next 12 trains would you expect to be full?
Answer:8
Step-by-step explanation:
There are 12 of the next 12 trains would expect to be full.
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.
Based on the information provided, it seems that 12 out of the last 18 trains to pull into Castroville Station were full, which is a proportion of 12/18 or 2/3.
Therefore, if the same proportion of full trains holds in the future, one would expect 2/3 or 8 of the next 12 trains to be full.
This prediction is based on the assumption that the proportion of full trains remains constant.
Thus, there are 12 of the next 12 trains would expect to be full.
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Rule: y is 1/3 times as large as x. If x=0 y=? x=6 y=? x=12 y=?
Answer:
So for 0
0*1/3 = 0
6*1/3= 2
12*1/3= 4
Step-by-step explanation:
An equation is formed of two equal expressions. The value of y when the value of x is 0, 6 and 12 is 0, 2, and 4, respectively.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the statement that "y is 1/3 times as large as x", therefore, the rule can be written as,
y=(1/3)x
Now, the value of y for different value of x can be written as,
1.) When x=0
y = (1/3)x
y = (1/3)(0)
y = 0
2.) When x=6
y = (1/3)x
y = (1/3)(6)
y = 2
3.) When x=12
y = (1/3)x
y = (1/3)(12)
y = 4
Hence, the value of y when the value of x is 0, 6 and 12 is 0, 2, and 4, respectively.
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Write the phrase as an expression. Then evaluate the expression when y = 12. the difference of a number y and 9 The expression is The value of the expression is
Answer:
12-9 i think
Step-by-step explanation:
Because it says the difference if a number y and 9. If y equals 12 then shouldn't it be 12-9?
once again some one good at 7th grad math i need your help
Answer:
(1.) -32.4 (2.) 99.94
Step-by-step explanation:
plz mark 5 str, helpful, and brainliest!
What is the approximate circumstances of the circle shown below?
A. 122.4 cm
B. 30.6 cm
C. 56.8 cm
D. 61.2 cm
Answer:
the answer to this is D) 61.2
not sure which one is it
plz help
If 192 out of 600 students at a school bought their lunch, what is the percentage of students that bought their lunch?
Answer:
32%
Step-by-step explanation:
Help me please 10 points no links or I report
Answer:
B. 5
Hope it helps!
Step-by-step explanation:
It lists green 5 times.