Match the value to the correct image. Not all values will be used.
Find the approximate surface area of each right regular prism.
Answers
The approximate surface areas of corresponding prisms are listed below:
A = 108 units²A = 229 units²A = 454 units²How to match given surface areas with given figuresThe surface area of the each figure ([tex]A[/tex]), in square units, is equal to the sum of the surface area of the two bases ([tex]A_{b}[/tex]), in square units, and the surface areas of the lateral sides ([tex]A_{l}[/tex]), in square units. Since bases are regular polygons, base surface area can be determined by this expression:
[tex]A_{b} = \frac{l^{2}\cdot n }{4\cdot \tan \frac{180}{n} }[/tex] (1)
Where:
l - Side length, in unitsn - Number of sidesThe area of one lateral side is expressed by this expression:
[tex]A_{l} =h\cdot l[/tex] (2)
Where h is the height of the rectangle, in units.
The total surface area is defined by the following formula:
[tex]A = 2\cdot A_{b} + n\cdot A_{l}[/tex] (3)
Now we proceed to calculate each surface area:
Case I ([tex]l = 2[/tex], [tex]n = 6[/tex], [tex]h = 9[/tex])[tex]A = 2\cdot \left[\frac{2^{2}\cdot (6)}{4\cdot \tan \left(\frac{180}{6} \right)} \right]+6\cdot (2)\cdot (9)[/tex]
A = 108.136 units²
Case II ([tex]l = 4\sqrt{3}[/tex], [tex]n = 3[/tex], [tex]h = 9[/tex])[tex]A = 2\cdot \left[\frac{(4\sqrt{3})^{2}\cdot (3)}{4\cdot \tan \left(\frac{180}{3} \right)} \right]+3\cdot (4\sqrt{3})\cdot (9)[/tex]
A = 228.631 units²
Case III ([tex]l = 6[/tex], [tex]n = 5[/tex], [tex]h = 11[/tex])[tex]A = 2\cdot \left[\frac{6^{2}\cdot (5)}{4\cdot \tan \left(\frac{180}{5} \right)} \right]+5\cdot (6)\cdot (11)[/tex]
A = 453.874 units²
The approximate surface areas of corresponding prisms are listed below:
A = 108 units²A = 229 units²A = 454 units²To learn more on surface areas, we kindly invite to check this verified question: https://brainly.com/question/2835293
Answer:
Look at the picture
Related Questions
Please help me . 8,10,11!
Answers
12 minus half the sum of 6 and 4
Answers
Answer:
7
Step-by-step explanation:
the sum of 6 and 4 = 6 + 4 = 10
half of 10 = 5 (10 divided by 2)
12 - 5 = 7
Take it in steps! Hope this makes sense! If you have further questions, let me know!
- profparis
a brainliest would be appreciated if i helped you! :D
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of the expression is 7.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
12 minus half the sum of 6 and 4
This can be written as an expression as,
= 12 - 1/2 (6 + 4)
= 12 - 1/2 x 10
= 12 - 5
= 7
Thus,
The value of the expression is 7.
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Find the nth term for the sequence:
16, 43, 88, 151, 232
Un =
Answers
Geri ran in a marathon race. It took her 3 hours and 28 minutes to run 26 miles. How many minutes did it take her to run 1 mile if she ran at the same rate for the whole race? (1 hour = 60 minutes)
Answers
Answer:
8minutes
Step-by-step explanation:
30×60=180
180+28=208
26miles=208minutes
1mile=¿
=8minutes
Use the properties of logarithms to write the logarithm in terms of
log5(2) and log5(3).
log5(12)
Answers
[tex]\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_5(12)\implies \log_5(4\cdot 3)\implies \log_5(2^2\cdot 3) \\\\\\ \log_5(2^2)~~ + ~~\log_5(3)\implies 2\log_5(2)~~ + ~~\log_5(3)[/tex]
What inequality is graphed on the number line below?
Answers
Answer:
C) b ≤ 3Step-by-step explanation:
The endpoint of the graph is the midpoint between 2 and 4, so it is 3.
This point is included since indicated as full circle.
The graph includes the line to the left of 3:
b ≤ 3 is the correct oneFactor the following:
y^2-3y-40
3x62+10x+3
Answers
Answer:
Below in bold.
Step-by-step explanation:
y^2 - 3y - 40
To factor this we need 2 numbers whose product is -40 and whose sum is -3. These are -8 and +5. so the factors are:
(y - 8)(y + 5).
3x^2 + 10x + 3
To factor this we need 2 numbers whose product is (3*3) = +9 and whose sum is +10. These are +9 and +1 so we write:
3x^2 + 9x + x + 3
Factor by grouping:
= 3x(x + 3) + 1(x + 3)
= (3x + 1)(x + 3).
Please help me 3: will give brainliest
Answers
Answer: 23,187 x 2/3 < 23187 is the answer
Step-by-step explanation:
A rectangular prism has a length of 11ft, a height of 4ft, and a width of 3ft. What is its volume, in cubic ft?
Answers
you spin a spinner with 3 equal sections labeled blue, red, and purple, and it lands on purple. what is the theoretical probability?
Answers
helpppp!! i’m willing to give all my points and brainliest, especially w explanation!
Answers
One angle is always 90° or right angle.
The side opposite angle 90° is the hypotenuse.
The hypotenuse is always the longest side.
The sum of the other two interior angles is equal to 90°.
The other two sides adjacent to the right angle are called base and perpendicular.
a quick way to find angle 1, is just to look at the figure. there seems to be bisecting angles, so angle FCE and angle 1 are congruent. (meaning angle 1 is also 34 degrees)
hope this helps! lmk.
4 Indira makes a wooden box without a lid. All the faces of the box meet at
right angles. Indira plans to paint all surfaces of the box, including the
inside and outside. The interior of the box has length 13 in., width 8 in., and
depth 7 in. Indira can cover up to 1,350 in.? with
5 cup of paint. Will she
need more than 5 cup of paint to cover the box? Explain how you know.
Answers
Considering the surface area of the rectangular box, it is found that since it is of 502 in² < 1,350 in², she will not need more than 5 cups of paint.
What is the surface area of a rectangular prism?The surface area of a rectangular prism of length l, width w and depth d is given by:
S = 2(lw + ld + wd).
In this problem, we have that the dimensions, in inches, are given by l = 13, w = 8, d = 7. Hence, the surface area in in² is given by:
S = 2(13 x 8 + 13 x 7 + 8 x 7) = 502 in².
Since the surface area of the box is of 502 in² < 1,350 in², she will not need more than 5 cups of paint.
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what is the slope of a line that passes through (2, -5) and (6, -2)
Answers
Answer:
3/4
Step-by-step explanation:
[tex]m = \frac{ - 2 - ( - 5)}{6 - 2} = \frac{3}{4} [/tex]
Please help me on this
Answers
Answer:
The answer is $3. 75
Step-by-step explanation:
The question is somehow I just did what they said but I hope it helps
x = 2y – 1
2x + y = 13
Solve this system of equations.
Answers
Answer:
(5,3)
Step-by-step explanation:
Use desmos. I'll attach the graph below.
Solution is:
(5,3)
If the zeros of a quadratic function, F, are -2 and 4, what is the equation of the axis of symmetry of F
Answers
Answer:
x=1
Step-by-step explanation:
if the zeroes are (-2,0) and (4,0), then the axis of symetry is going to be right in the middle of those two, with the graph reflected equally on either side.
so you get:
(4-2)÷2=1
therefore the equation of the axis of symetry is x=1
please help!!! I need this
Answers
Answer:
it is (2): AOB = COD
Step-by-step explanation:
Use the drop-down menu to select the education or qualification best demonstrated in each example.
Nate is skilled at developing new ways to communicate with potential customers.
Lucy is good at building relationships with contacts in the news media.
Marco is able to juggle many tasks at once.
Answers
Answer: Answers are:
Step-by-step explanation:
Nate: Creativity
Lucy: Social skills
Marco: Organizational skills
OR
D , B, D
Answer
Nate: Creativity
Lucy: Social skills
Marco: Organizational skils
Step-by-step explanation:
Nate is creative lucy has social skills and marco has organiztional skills
If y x w= 0, what can be said about the two vectors y and w?
=
Answers
One of the vectors is 0.......
Help me please. I really neeed it
Answers
Answer: You need to put the same shape as it shows there on the top.
Step-by-step explanation: I hope this helped you.
PLS HELP ME ASAP I WILL MARK THE BRAINLIEST
Answers
Answer:
1:3, 24/8=3/1
Find the standard deviation of the data given below: Ans: 12.03 Class Interval 10-20 20-30 30-40 40-50 50-60 frequency10 12 4 8 6 -20
Answers
Answer:
•Make sure all words are spelled correctly.
•Try different keywords.
•Try more general keywords.
•Try fewer keywords.
I HOPE IT'S HELP <3
??? HELP FAST
What is a area
Answers
Answer:
100 in^2
Step-by-step explanation:
Four right triangles area of each = 1/2 b * h each has b = 5 h = 10
apparently not drawn to scale
4 * 1/2 ( 5 * 10) = 100 in^2
What is the multiplier for a 12% increase
Answers
Answer:
d
Step-by-step explanation:
d because 12% is = to 0.12
so D
Shaquil needs to borrow $400. the loan company charges him $80 in fees for the loan. shaquil calculates that the annual percentage rate (apr) on his loan is 250%. approximately what is the term of shaquil’s loan? a. 7 days b. 29 days c. 46 days d. 73 days please select the best answer from the choices provided a b c d
Answers
The term of shaquil's loan will be 29 days approximatly.
We have given that,
Principle amount (p) = $400
Rate (r)= 250% = 2.5
Interest = $80
t = time (in days) = t/365
What is the formula simple interest?
[tex]I=prt[/tex]
[tex]r=\frac{I}{rt}[/tex]
[tex]2.5 = \frac{80\times 365}{400\times t}[/tex]
[tex]t= \frac{80\times 365}{400\times 2.5}[/tex]
[tex]t=\frac{73}{2.5}\\ \\t=29.2[/tex]
t = 29.2
t = 29 days
Therefore option (B) is correct.
Therefore the term of shaquil's loan will be 29 days approximatly.
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Answer:
B.29 days
Step-by-step explanation:
се
у
What is the rule for the reflection?
В
4
2
2
Ory=(x, y) — (-y-x)
огу (x, y) — (-у, -х)
Огу (x, y) — (y, x)
(x, y) — (y, x)
о
х
A
--2
|
2
2
4
-2A"
В!
C
Answers
Answer:
Below.
Step-by-step explanation:
Reflection in x-axis: (x, y) ----> (x, -y). (x value stays the same)
Reflection in y-axis: (x, y) ----> (-x, y). ( y value stays the same)
i honestly dont know how to answer 8+h over 10 = 1 how?
Answers
Answer:
h = 2
Step-by-step explanation:
8+h / 10 = 1
Multiply both sides by 10 to remove the denominator
10 * (8 + h / 10) = 1 * 10
8 + h = 10
Subtract 8 from both sides
8 - 8 + h = 10 - 8
h = 2
15x - 10= 65
15x =
X=
Answers
Answer:
15x = 75
x = 5
Step-by-step explanation:
15x - 10 = 65
15x = 65 + 10
15x = 75
x = 75/15
x = 5
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
15x = 65 + 10
15x = 75
x = 75/15
x = 5
The minute hand on a clock tower is 6 feet long. At 10 minutes after the hour, the tip
of the minute hand is 55 feet above the ground. How high above the ground is the
center of the clock face? Explain how you know.
Answers
Answer: 12:55 is the answer
Step-by-step explanation:
dont delete this brainly
The height of the center of the clock above the ground is 52 feet such that the length of the minute hand of the clock is 6 feet and at 10 minutes after the hour, the tip of the minute hand is 55 feet above the ground.
Sine trigonometric functionThe trigonometric function, [tex]sin\theta=\dfrac{perpendicular}{hypotenuse}[/tex] .
How to determine the length of the side using trigonometric function?From the given information, the following pictorial representation can be made.
The distance between the centre of the clock and the the point of the minute hand 10 minutes after the hour is-
[tex]x=6sin30\\x=3\text{ft}[/tex]
Now, from the figure,
The height of the center of the clock above the ground is-
d=6+(55-3-6)
=52 ft
Thus, the height of the center of the clock above the ground is [tex]52\text{ft}[/tex]
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need help please will mark branliest
whats the perimeter of triangle
side is x+1
side is x+1
base is 2x+2
2.whats the perimeter of rectangle
length is x
width is x+3
Answers
Rectangle is 4x+6
To get perimeter of some thyroid add all the sides together
Perimeter of triangle:6x+6
Perimeter of rectangle:4x+6