Answer:
The perimeter of the rectangle is 30cm and the perimeter of the square is 20cm
Step-by-step explanation:
Given
Dimension of Paper = 10 cm by 10 cm
Required
Find the perimeter of the shapes formed when the paper is folded
The dimension of the paper shows that it is a square;
At the initial stage when it's folded in half to form a rectangle;
This implies that only one side of the paper is folded and the new dimension becomes 10cm/2 by 10cm
New Dimension = 10cm/2 by 10cm
New Dimension = 5cm by 10cm
The perimeter of this is calculated as follows;
Perimeter = 2(L + B) where L and B are the dimensions of the rectangle
Perimeter = 2(5cm + 10cm)
Perimeter = 2(15cm)
Perimeter = 2 * 15cm
Perimeter = 30cm
When the paper is further folded in half to form a square;
This implies that the other side that wasn't folded initially, is now folded;
The new dimension becomes 5cm by 10cm/2
New Dimension = 5cm by 10cm/2
New Dimension = 5cm by 5cm
The perimeter of this is calculated as follows;
Perimeter = 2(L + L) where L is dimensions of the square
Perimeter = 2(5cm + %cm)
Perimeter = 2(10cm)
Perimeter = 2 * 10cm
Perimeter = 20cm
Hence, the perimeter of the rectangle is 30cm and the perimeter of the square is 20cm
5.
If m • 6 + 3 x 4 = 240, the value of m is
(1) 28
(2) 38
(3) 40
(4) 43
Answer:
38
Step-by-step explanation:
The rule of PEMDAS (parentheses, exponents, multiply, divide, addition, subtraction) must be followed when solving this equation.
1. Simplify the equation
m · 6 + 3 · 4 = 240
m · 6 + 12 = 240
2. Solve for m
- subtract 12 from both sides
m · 6 = 228
- divide both sides by 6
228 ÷ 6 = 38
m = 38
Answer:
38 is right
Step-by-step explanation
i just took the test
9 (1/3)^n-1 what is the tenth term
Answer:
[tex]a_{10}=\frac{1}{2187}[/tex]
Step-by-step explanation:
Simply plug in 10 for n
9(1/3)¹⁰⁻¹
9(1/3)⁹
9(1/19683)
9/19683
[tex]a_{10}=\frac{1}{2187}[/tex]
The volume of a rectangular prism is 240 cubic centimeters. A rectangular pyramid has the same length, width, and height as the prism. What is the volume of the pyramid?
Answer:
The volume of the pyramid is 80 cubic centimeters.
Step-by-step explanation:
As the formula for the volume of a pyramid is 1/3bh, so if all the dimensions are the same for both figures, just divide the volume of the prism by three to find the volume of the pyramid. If you do this 240÷3=80 or the volume of the pyramid.
Answer:
80 cubic centimetres
Step-by-step explanation:
The volume of a rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height.
Here, we know that the prism's volume is 240, so lwh = 240.
The volume of a rectangular pyramid is denoted by V = (1/3) * lwh, where l is the length of the rectangular base, w is the width of the rectangular base, and h is the height.
We know that the length, width, and height of the pyramid are the same as those of the prism, so we want to simply find V = (1/3) * lwh. From the prism, we see that lwh = 240, so plug that in:
V = (1/3) * lwh
V = (1/3) * 240 = 80
The answer is thus 80 cubic centimetres.
~ an aesthetics lover
The wholesale price of a sweater is $ 35 . The retail price of the sweater is 10 % more than the wholesale price. What is the retail price of the sweater?
Answer:
$38.5Step-by-step explanation:
In this problem we are going to first solve for 10% of $35 an add it to the wholesale price to get the retail price
10% of $35
[tex]\frac{10}{100}*35= 0.1*35= 3.5[/tex]
The retail price is 3.5+35= $38.5
Answer:
$38.50
Step-by-step explanation:
x = 2y - 3 & 3x - 7y = -14
Answer:
(7, 5)
Step-by-step explanation:
You can solve by substitution
3(2y - 3) - 7y = -14
6y - 9 - 7y = -14
-y - 9 = -14
-y = -5
y = 5
x = 2(5) - 3
x = 7
Answer:
(7, 5).
Step-by-step explanation:
x = 2y - 3
2y = x + 3
y = x/2 + 3/2
3x - 7y = -14
-7y = -3x - 14
y = 3/7x + 2
3/7x + 2 = 1/2x + 3/2
6/14x - 7/14x = 1.5 - 2
-1/14x = -1/2
1/14x = 1/2
x = 7
7 = 2y - 3
2y = 10
y = 5
3 * 7 - 7 * 5 = 21 - 35 = -14
Since this works, your answer will be (7, 5).
Hope this helps!
work out the perimeter of this semicircle take pie to be 3.142 radius in image attached thanks (:
Answer:
[tex]\boxed{P = 56.55751919 cm}[/tex]
Step-by-step explanation:
Perimeter of semicircle = [tex]\frac{2\pi r}{2} + 2r[/tex]
Where r = 11 cm
=> P = [tex]\frac{2(3.142)(11)}{2} + 2(11)[/tex]
=> P = [tex]34.55 + 22[/tex]
=> P = 56.55751919 cm
Answer:
56.562 cmSolution,
Radius(R)= 11 cm
Perimeter of semi-circle:
[tex]\pi \: r + 2r [/tex]
[tex] = 3.142 \times 11 + 2 \times 11[/tex]
[tex] = 34.562 + 22[/tex]
[tex]56.562 \: cm[/tex]
Hope this helps...
Good luck on your assignment..
using Pythagoras theorem, caclutale AC AB=11cm BC=4CM AC=unknown using Pythagoras theorem, caclutale the length of AC
Answer:
11.70 cmSolution,
AB (p) = 11 cm
BC (b) = 4 cm
AC (h) = ?
now,
Using the Pythagoras theorem:
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
[tex] {h}^{2} = {(11)}^{2} + {(4)}^{2} [/tex]
[tex] {h }^{2} = 121 + 16[/tex]
[tex] {h }^{2} = 137[/tex]
[tex]h = \sqrt{137} [/tex]
[tex]h = 11.70 \: cm[/tex]
Hope this helps...
Good luck on your assignment..
translate 22% of b into an expression
Answer:
11/50b
Step-by-step explanation:
22% of b = 22/100×b
= 11/50b
I thought of a number. I added one, divided by 3 and got 6. What was my number?
Answer:
17
Step-by-step explanation:
6 x 3 = 18
18 - 1 = 17
Hope this helps.
Working backwards always works.
Ronald ran 6 laps in 12 minutes. Which ratio can be used to find the number of laps that Ronald ran in 1 minute?
Answer:
6/12
Step-by-step explanation:
Got it right on test
Answer: 6 / 12
Step-by-step explanation: I took the test 2 hours ago xD
Only answer if you are sure thanks!
Answer:
B. (0,0)
Step-by-step explanation:
Answer:
B. (0, 0).
Step-by-step explanation:
The parent function is y = x^2.
The vertex is at the minimum value of this, that is when x = 0 and y = 0.
can someone please help me
Answer:
C. Adding 18 to both sides isolates the variable term
Step-by-step explanation:
We can get rid of A and C because we can clearly see that we are adding, not subtracting.
The reason why C is correct is because we are isolating 6x, the term, and not x, the variable.
What is the solution of the following system 5x+2y+z=4 x+2z=4 2x+y-z=-1
Let us take the 2nd equation.
x + 2z = 4
x = 4 - 2z
Let us substitute this value of x in equation 1.
5x + 2y + z = 4
5(4-2z) + 2y + z = 4
20 - 10z + 2y + z = 4
2y - 9z + 20 = 4
2y = 9z - 16
y = (9z - 16)/2
Let us substitute this value of y, as well as that of x that we used earlier, in the third equation.
2x + y - z = -1
2(4-2z) + (9z-16)/2 + z = -1
8 - 4z + (9z/2) - 8 + z = -1
Let us multiply both sides of this equation by 2.
16 - 8z + 9z - 16 + 2z = -2
3z = -2
z = [tex]\frac{-2}{3}[/tex]
x = 4 - 2z
= 4 + [tex]\frac{4}{3}[/tex]
= [tex]\frac{16}{3}[/tex]
y = (9z-16)/2
= ([tex]\frac{-18}{3}[/tex] - 16)/2
= ( [tex]\frac{-66}{3}[/tex])/2
= -22/2
= -11
Therefore, x = [tex]\frac{16}{3}[/tex], y = -11, and z = [tex]\frac{-2}{3}[/tex].
It takes 1 hour (t) to fill the water tank of volume (V) 750 m3. Identify the dependent and the independent variables.
Answer:
The time t is the independent variable while the volume V is the dependent variable
Step-by-step explanation:
A variable is a parameter that changes.
We have two types namely dependent and independent variables.
A dependent variable is a variable which its value needs to be determined based on the value of another variable while and independent variable is a variable which its value independent of other parameters.
In our question, It takes 1 hour (t) to fill the water tank of volume (V) 750 m3.
The volume of the tank V changes as time changes. So the volume of the tank V is dependent on time, t.
So V is proportional to t
Since the volume of the tank is the variable that needs to be determined based on another variable-which is time,t- it is the dependent variable, while the time,t is the independent variable since its value is not determined based on other parameters.
The table below shows some inputs and outputs of the invertible function f with domain all real numbers. NEED HELP NOW!!!!!
Answer:
( 1 ) [tex]f^{-1}(f(576)) = 576[/tex],
( 2 ) [tex]f^{-1}(-7)+f(-7) = 13[/tex]
Step-by-step explanation:
Taking the function and it's inverse, it should be the following property -
[tex]f^{-1}(f(x))= x[/tex] - this therefore makes the functionality " [tex]f^{-1}(f(576))= x[/tex] " equivalent to 576 itself.
For this second part here let's consider the portion " [tex]f(-7)[/tex] " firstly. As you can see from the table, - 7 should represent the x - value, hence [tex]f(-7) = 7[/tex]. Now for this second bit here, we have to take the inverse - making the what should have been the x - value, now the f( x ) value. Therefore, [tex]f^{-1}(-7) = 6[/tex].
This would make [tex]f^{-1}(-7)+f(-7)[/tex] = [tex]7+6[/tex] = 13.
explain how to solve 2x+9=15
Answer:
I hope it will help you :)
Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 24 feet, 32 feet, and 48 feet long. If the two shortest sides of quadrilateral EFGH are 9 feet long and 18 feet long, how long is the 2nd longest side on quadrilateral EFGH?
Answer:
24 feet
Step-by-step explanation:
12 ÷ 18=16/y
2y=3*16
y=24
need help with this question, i dont think its hard for you.
When hourly employees work beyond 40 hours in a week, federal law requires that they receive __________ pay. A. commissioned B. exempt C. overtime D. salaried Please select the best answer from the choices provided A B C D
Answer: D
Step-by-step explanation:
Answer:
Answer: D
Step-by-step explanation:
Gwen is travelling to another country. She flies for 3 hours at an average speed of 625 km/h on one plane. She then flies for 4 hours 15 minutes at an average speed of 880 km/h on a second plane. What is the total distance, in km, she travelled by plane?
Answer:
5,615 km.
Step-by-step explanation:
The first flight, she traveled for 3 hours at a speed of 625 km/h.
[tex]\frac{625}{1} =\frac{x}{3}[/tex]
x = 625 * 3
x = 1,875.
The first flight, she traveled 1,875 km.
The second flight, she traveled for 4.25 hours at a speed of 880 km/h.
[tex]\frac{880}{1} =\frac{x}{4.25}[/tex]
x = 880 * 4.25
x = 3,740.
The second flight, she traveled 3,740 km.
So, in total, she traveled 1875 + 3740 = 5,615 kilometres.
Hope this helps!
A professional football prospect runs 40 yards dash in 5 seconds. What is the player's average speed over this distance
Answer:
average speed = 8y/s
Step-by-step explanation:
What is the player's average speed over this distance ?Formula
s = d/t
d = 40 yards
t = 5 seconds
s = 40y/5s
= 8y/s
solve 2x - 1/5 + 2x - 19.6
Answer:
x = 4.95
Step-by-step explanation:
4x - 19.8 = 0
4x = 19.8
x = 4.95
you are riding the bus to school and you realize it is taking longer because of all the stops you are making
Answer:
Clearly, the answer is 17, because the difference in speed between a direct trip and one with the various stops of the bus is 46 hours and 6 minutes. However, rounding to the nearest hour, it is 46 0/2 hours, or 46 hours. Thus, accounting for the varying lack of stop signs, you can distribute the range of children and therefore extended breaks, allowing you to bring the time down to 16. However, if you translate hours to minutes on a broken calculator you get 14. So, the answer is 14
Brainliest??
What is the value of n?
A teacher writes the name of each of her 25 students on a slip of paper and places the papers in a box. To call on a student, she draws a slip of paper form the box. Each paper is equally likely to be drawn, and the papers are replaced in the box after each draw. If there are 9 students in the last row, what is the probability of calling on a student in the last row
Answer:
36%
Step-by-step explanation:
Total Number of Students = 25
The number of students on the last row = 9
The probability of calling a student in the last row
[tex]=\dfrac{\text{The number of students on the last row}}{\text{Total Number of Students}}\\\\=\dfrac{9}{25}\\\\=0.36\\\\=0.36 \times 100\\\\=36\%[/tex]
The probability of calling a student in the last row is 36%.
Answer:
B 0.36
Step-by-step explanation:
5 The absolute value of 9 is 9.
O True
O False
Answer:
True
Step-by-step explanation:
The absolute value of a number is its distance from zero on the number line. The distance of 9 from 0 is 9.
Manuel ordered pizza for a party. A vegetable pizza has 6 slices per pie. A cheese pizza has 8 slices per pie. Manuel ordered four times as many cheese pizzas as vegetable pizzas for a total of 152 slices. Let c represent the number of cheese pizzas and let v represent the number of vegetable pizzas. Which equation represents the relationship between the number of cheese pizzas and the number of vegetable pizzas? Which equation represents the total number of pizza slices?
Answer:
Manuel ordered pizza for a party. A vegetable pizza has 6 slices per pie. A cheese pizza has 8 slices per pie. Manuel ordered four times as many cheese pizzas as vegetable pizzas for a total of 152 slices. Let c represent the number of cheese pizzas and let v represent the number of vegetable pizzas.
Which equation represents the relationship between the number of cheese pizzas and the number of vegetable pizzas?
✔ c = 4v
Which equation represents the total number of pizza slices?
✔ 8c + 6v = 152
The equation that the number of cheese pizzas and the number of vegetable pizzas is c = 4v
And, the equation represents the total number of pizza slices is 8c + 6v = 152
Given that,
Manuel ordered pizza for a party. A vegetable pizza has 6 slices per pie. A cheese pizza has 8 slices per pie. Manuel ordered four times as many cheese pizzas as vegetable pizzas for a total of 152 slices. Let c represent the number of cheese pizzas and let v represent the number of vegetable pizzas.Based on the above information, the equation is as follows:
c = 4v
8c + 6v = 152
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An open cone has a slant height of 5m and a curved surface area of 251, Find the radius of the circular base.What is the answer:18 16
Answer:
Radius of the cone = 16 m
Step-by-step explanation:
Slant height of the cone 'l' = 5 m
Curved surface area of the cone is represented by the formula,
Curved surface area = πrl
Here r = radius of the circular base of the cone
l = slant height of the cone
By putting the values in the formula,
251 = πrl
251 = πr(5)
r = [tex]\frac{251}{5\pi}[/tex]
r = 15.979
r ≈ 16 m
Therefore, radius of the given cone will be 16 m.
Use each of the digits 2,4,6 and 7 to make this calculation correct ?.?+?.?=10
Answer:
2.6+7.4 or 2.4+7.6
Step-by-step explanation:
Both of the above equals to 10!
ANSWER
Find the scale factor of the dilation shown in the diagram. 1/2 1/3 2 3
The scale factor of the dilation shown in the diagram 2.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
The image and pre image are shown in figure.
Now, We know that;
The basic formula to find the scale factor of a dilated figure is,
⇒ Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
Substitute the given values, we get;
⇒ Scale factor = 6 / 3
⇒ Scale factor = 2
Thus, The scale factor of the dilation shown in the diagram 2.
Learn more about the divide visit:
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Answer:1/2
Step-by-step explanation:
got it right on edge