Answers
The area of a 2D form is the amount of space within its perimeter. The surface area of each polyhedron is 82units², 48units², and 48units², respectively.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The surface area of the polyhedrons can be written as,
I Polyhedron
SA = 2[(5×6)+(5×1)+(6×1)] = 2[(30)+(5)+(6)] = 82 units²
II Polyhedron
SA = (4×4)+4(0.5×4×4) = 16+32 = 48 units²
III Polyhedron
SA = (3×3) + 2(0.5×4×3) + (5×3) + (4×3) = 48 units²
Hence, the surface area of each polyhedron is 82units², 48units², and 48units², respectively.
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Related Questions
Find the remainder of 2338when divided by 55. b) What is the inverse of 23 modulo 55 i.e. which number a has the property that 23*a has the remainder 1 when divided by 55?
Answers
a) 2338 ≡ 42 • 55 + 28 ≡ 28 (mod 55)
b) We want to find a such that
23a ≡ 1 (mod 55)
Use the Euclidean algorithm:
55 = 2 • 23 + 9
23 = 2 • 9 + 4
9 = 2 • 4 + 1
⇒ 1 = 9 - 2 • 4
⇒ 1 = 9 - 2 • (23 - 2 • 9) = 5 • 9 - 2 • 23
⇒ 1 = 5 • (55 - 2 • 23) - 2 • 23 = 5 • 55 - 12 • 23
Solve for a :
5 • 55 - 12 • 23 ≡ 1 (mod 55)
⇒ -12 • 23 ≡ 1 (mod 55)
⇒ a ≡ -12 ≡ 43 (mod 55)
convert 221 quinary number into decimal number.
Answers
Step-by-step explanation:
______________________( First of all to convert quinary to decimal we need to multiply them by 5 )
So let's solve now.....
= 221
Solution,
Converting quinary number to decimal .....
= 2 × 5² + 2 × 5¹ + 1 × 5⁰
The value of any number to the power 0 is 1 ...
= 2 × 25 + 2 × 5 + 1 × 1
= 50 + 10 + 1
= 61..
______________________Hence the answer is 61....
______________________I SWEAR IF YOU HELP ME ILL FRL LOVE YOU FOR FREAKING EVERRR
Answers
we can simplify it to 9x = 99 (adding the x’s and adding the 9 to both sides)
so x = 11
great! now lets solve for the angles by plugging it in.
8(11) = 88 (m1)
(11)-9 = 2 (m2)
hope this helps!
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answers
Length be x
width be x-5
So
Area=Length×Breadth
x(x-5)=750Or
If x turned y
y(y-5)=750750-y(y-5)=0Option C
Option A can be true as per commutatI've property
y²-5y=750Option B is true
Answer:
y² - 5y = 750
750 - y(y - 5) = 0
(y + 25)(y - 30) = 0
Step-by-step explanation:
Formula
Area of a rectangle = length × width
Given:
y = length of the room(y - 5) = width of the room750 ft² = area of the roomSubstituting the given values into the formula and rearranging in different way:
Equation 1
⇒ 750 = y(y - 5)
⇒ y(y - 5) = 750
⇒ y² - 5y = 750
Equation 2
⇒ 750 = y(y - 5)
⇒ 750 - y(y - 5) = 0
Equation 3
⇒ 750 = y(y - 5)
⇒ y(y - 5) - 750 = 0
⇒ y² - 5y - 750 = 0
⇒ y² - 30y + 25y - 750 = 0
⇒ y(y - 30) + 25(y - 30) = 0
⇒ (y + 25)(y - 30) = 0
(03.03 LC) look at points C and D on the graph:
What is the distance in units between points c and d? Round your answer to to nearest hundredth
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HELP PLEASE!!
5⁸/5³=
a. 5^-5
b. 1¹¹
c. 5⁵
d. 5 ¹¹
Answers
Answer:
C
Step-by-step explanation:
[tex] \frac{ {5}^{8} }{ {5}^{3} } \\ [/tex]
Now you may reduce the fraction
[tex] = {5}^{5} [/tex]
Evaluate 8 7/8 + (7 5/6−2 1/3)
Answers
Answer:
14.375 Or 115/8
Step-by-step explanation:
since 8 7/8 = 71/8 and 7 5/6 = 47/6 and 2 1/3 = 7/3
then 71/8 + ( 47/6 - 7/3) = 115/8
PLS help
Jaime rode her bike 5 miles north to the park to meet a friend. Then they rode east to the library. If Jaime's house is 13 miles from the library, about how far is the library from the park?
Answers
please
that is the solution
Answer:8 miles
Step-by-step explanation:
Multiply.
(2y+5) (5y + 7)
Simplify your answer
Answers
Answer: I think it might be 10y
2
+39y+35
Step-by-step explanation: Apply the distributive property by multiplying each term of 2y+5 by each term of 5y+7. Then, Combine 14y and 25y to get 39y.
hope this helps!
♥ Chen was here
Answer:
10y^2 + 39y +35
Step-by-step explanation:
First distribute (2y+5)(5y+7)-
2y(5y + 7 )+ 5(5y + 7) This turns into:
10y^2 + 14y + 25y +35
Now combine the like terms (14y+25y)
You should get 10y^2 + 39y + 35 which is your final answer. :)
PLEASE ANSWER 50 POINTS!!
what is [4^2+(5+3x4)]x3=
Answers
Answer:
[( 4² + 5 + 3 × 4 )] × 3
= ( 4 × 4 ) + 5 + 3 × 4 × 3
= 16 + 5 + ( 3 × 4 × 3 )
= 16 + 5 + ( 12 × 3 )
= 16 + 5 + 36
= 21 + 36
= 57
Answer:
99
Step-by-step explanation:
pemdas states:
PARENTHESIS
EXPONENTS
MULTIPLICATION/DIVISION (left to right)
ADDITION/SUBTRACTION (left to right)
the first equation you would do is 3*4 as it is in the most inner parenthesis and is a multiplication equation
3*4 = 12
then add 12 to 5
12 * 5 = 17
(4^2 + 17) * 3 is what you have left
the next thing you do is the exponent
4^2 is 4*4 or 16
then add 16 to 17
16 + 17 = 33
then at the end
you multiply it by 3
33 * 3 = 99
your answer is 99
five numbers have a mean of 3. four of the numbers are 7,5,2,-4. what is the 5th number?
Answers
Answer: The fifth number is 5
Step-by-step explanation:
What is the measure of "?"
Answers
Answer:
60
Step-by-step explanation:
Can someone help me with this?
Answers
Answer:
s = 3, j = 14
Step-by-step explanation:
The full perimeter is 35.
The given sides we have are 7, 2, 4, 5, and the two missing ones. We will call the two missing ones j and s. (according to your drawing.)
-
The side with the number 7 on it is equal to the side with the number 4 and s.
Can you see that? Even if it's not a direct side, it is under it. (if you can't see that comment below.)
-
Now since we know that we can make an equation:
7=4+s
Subtract 4 on both sides.
3=s.
We now have the length of s, which is 3.
-
Since we now know what s is, we can add them all up once more.
3+5+7+2+4=21
You said the full perimeter is 35. This means j has to be 35-21, which is 14.
-
This drawing is not drawn to scale, I assume you are drawing this for practice.
-
Good luck on your test!
5 Air bags in a car 'explode' at 340 km/h.
a Convert this to metres per second.
b How long would the air bag take to move 10 cm?
Give your answer to the nearest thousandth of a second.
Answers
Answer:
a. 94.444 m/s
b. 0.001 s
Step-by-step explanation:
We know that:1 km = 1000 m & 1 h = 3600s#a
Explosion speed of air bag = 340 km/h-> Explosion speed of air bag [tex]= 340\times \frac{1000\: m}{3600 \:s}[/tex]-> Explosion speed of air bag [tex]= 94.444\: m/s[/tex]#b
Speed = 94.444 m/s = 9444.4 cm/sDistance = 10 cmFormula relating time speed and distance is given as:[tex] Time =\frac{distance}{speed}[/tex][tex]\implies Time =\frac{10}{9444.4}[/tex][tex]\implies Time =0.00105882851 \: s[/tex][tex]\implies Time \approx 0.001\: s[/tex]Sam walks 100 m north and then 100 m east. How far is she from her starting position? Give your answer to a sensible degree of accuracy.
Answers
Answer- 200m
: Right now Sam is 200m far from her starting point
Identify the CENTER: (x+3)^2 + (y-2)^2 = 64 *
(3,-2)
(9,4)
(-3,2)
8
Answers
Answer:
centre = (- 3, 2 )
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius )
(x + 3)² + (y - 2)² = 64 ← is in standard form
with centre (- 3, 2 )
What point can be found by taking the average of the endpoints of a line
segment?
O A. Endpoint
O B. Vertex
O C. Midpoint
O D. Center
Answers
Step-by-step explanation:
C. Midpoint
The average is the distance of the line divided by 2
CAN SOMEONE PLS HELP ME
Answers
Answer:
no i cannot help you
Step-by-step explanation:
thats good
Nguyen makes two slices through a three-dimensional object. One plane is parallel to the base; the cross-section is a square. The other plane is perpendicular to the base; the cross-section is a triangle. What three-dimensional shape did Nguyen cut?
Answers
Answer:
the answer to your question is pyramid
HELP PLEASE ILL GIVE BRAINLEST
Answers
Answer:
y= 40 degree
Step-by-step explanation:
ACD+CDA+DAC= 180 degree
y+ 90+30+20= 180 degree
y+140 = 180
y= 180- 140 degree
y= 40 degree
Hope it helps you :)))))
have a good day
A phone case comes in 8 different colors, and you can also pick from 10 different patterns. If you can only pick one of each, how many different phone cases can there be
Answers
Answer:
80
Step-by-step explanation:
8 different colors multiplied by 10 different patterns
( i will give brainlist ) What is the equation of the following graph?
Answers
Answer:
y= ⅓x +2
Step-by-step explanation:
Since the graph is a linear graph, let's use the slope-intercept form to find its equation.
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
The y-intercept is the point at which the graph cuts through the y-axis. In this case, the y-intercept is 2.
Thus, y= mx +2.
Let's find the slope of the graph.
First, identify 2 pairs of coordinates from the graph:
(0, 2) and (3, 3)
Next, substitute these coordinates into the slope formula below:
[tex]\boxed{ \text{slope} = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
slope
[tex] = \frac{3 - 2}{3 - 0} [/tex]
[tex] = \frac{1}{3} [/tex]
Thus, the equation of the graph is y= ⅓x +2.
The surface area of a cone is square units. the height of the cone is times greater than the radius. what is the length of the radius of the cone to the nearest foot? the radius is about feet.
Answers
The radius of the cone is 7 feet
How to determine the radius?The given parameters are:
Surface Area, A = 216π
h = 8/3r
The surface area of a cone is:
[tex]A = \pi r(r + \sqrt{h^2 + r^2})[/tex]
So, we have:
[tex]216\pi = \pi r(r + \sqrt{(8/3r)^2 + r^2})[/tex]
Factor out r
[tex]216\pi = \pi r(r + r\sqrt{(8/3)^2 + 1})[/tex]
Evaluate the exponent
[tex]216\pi = \pi r(r + r * 2.85)[/tex]
Evaluate the sum
[tex]216\pi = \pi r(3.85r)[/tex]
Divide both sides by pi
[tex]216 = 3.85r^2[/tex]
Divide both sides by 3.85
[tex]56.10 = r^2[/tex]
Take the square roots of both sides
r = 7 (approximately)
Hence, the radius of the cone is 7 feet
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Answer:
The radius is about 9 feet.
Hope this helps!
Step-by-step explanation:
A box of chocolates contains 10 milk chocolates, 8 dark chocolates and 6 white chocolates. Sung randomly chooses a chocolate, eats it, then randomly chooses another. What is the probability Sung chose a milk chololate then a white chocolate
Answers
Using it's concept, it is found that there is a 0.1087 = 10.87% probability Sung chose a milk chocolate then a white chocolate.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that:
Initially, there are 10 + 8 + 6 = 24 chocolates, out of which 10 are milk, hence the probability of eating a milk chocolate first is given by: [tex]\frac{10}{24} = \frac{5}{12}[/tex].Then, there will be 23 chocolates, out of which 6 will be white, hence the probability of eating a white chocolate first is given by: [tex]\frac{6}{23}[/tex].Thus, the probability of milk then white is given by:
[tex]p = \frac{5}{12} \times \frac{6}{23} = \frac{30}{12 \times 23} = 0.1087[/tex]
0.1087 = 10.87% probability Sung chose a milk chocolate then a white chocolate.
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How many pencils did kyle purchase?
Answers
Answer:
he purchased 12 pencils
Step-by-step explanation:
1.24x12=14.88
14.88-20= 5.12
also this kid i knew has the same pfp
So, I'm trying to solve this question but I can't quite jog my mind, A little help here maybe > Forest City has ordered 36 maple trees and 54 dogwood trees to be planted in groups in a city park. Each group will have the same number of maple trees and dogwood trees.
Answers
By finding common factors, we conclude that we can divide the trees in 6 or in 9 parts, but not in 8.
Can the trees be planted in 6, 8, or 9 parts?We know that each of these parts needs to have the same number of each type of trees.
So we need to see if 6, 8, or 9, are common factors between 36 and 54.
First:
6*6 = 36
9*4 = 36
So 9 and 6 are factors of 36.
And 9*6 = 54
So 9 and 6 are factors of 54.
(8 is not a factor of neither)
So 9 and 6 are common factors between 36 and 54.
Then we can divide the trees in 6 or in 9 parts, but not in 8.
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how many cups are there in 2.5 pt
Answers
Answer:
Approximately 6 cups
Step-by-step explanation:
One pint is equal to 2.402 cups. Multiplied by 2.5, that gives you 6.00475. The final answer (6 cups) is rounded.
pls answer the question i am mark in brainlist
Answers
Answer:
x = -2
Step-by-step explanation:
Given: [tex]\textsf{$\dfrac{x+3}{x+4}=\dfrac{x+5}{x+8}$}[/tex]
1. Cross-multiply
(x + 3)(x + 8) = (x + 5)(x + 4)
2. Distribute
⟹ (x + 3)(x + 8) = (x + 5)(x + 4)
⟹ x(x) + x(8) + 3(x) + 3(8) = x(x) + x(4) + 5(x) + 5(4)
⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20
3. Combine like terms
⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20
⟹ x² + 11x + 24 = x² + 9x + 20
4. Subtract x² from both sides
⟹ x² - x² + 11x + 24 = x² - x² + 9x + 20
⟹ 11x + 24 = 9x + 20
5. Subtract 24 from both sides
⟹ 11x + 24 - 24 = 9x + 20 - 24
⟹ 11x = 9x - 4
6. Subtract 9x from both sides
⟹ 11x = 9x - 4
⟹ 11x - 9x = 9x - 9x - 4
⟹ 2x = -4
7. Divide both sides by 2 to isolate the variable
⟹ 2x ÷ 2 = -4 ÷ 2
⟹ x = -2
A rectangular room is 12 1/2 feet long and 10 1/3 feet wide. What is the area of the room?
Answers
Answer: 20
Step-by-step explanation: 12 1/2x10 1/3=20
Drag each tile to the correct box. arrange the functions in ascending order, starting with the function that eventually has the least value and ending with the function that eventually has the greatest value. 3x 8 4x 3 x2 6 3x 4x x2 ↓ ↓ ↓ ↓ ↓
Answers
The functions in ascending orders are:
1. 3x
2. 3x + 8
3. x^2
4. x^2 + 6
5. 4^x
6. 4^x + 3
What is a function?A function is known to be that relation that is said to exist between a set of numbers that is known to be having one output each.
Note that in the above such as 3x, 3x + 8, the functions in ascending orders as it start with the function that has it least value.
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