Given the base edge and the height, the lateral area and surface area of the regular hexagonal prism are 168cm² and 251.138cm² respectively.
What is lateral and surface area of the regular hexagonal prism?For a regular hexagonal prism, the Lateral surface area and the surface area is expressed as follows:
Lateral Area = 6a × h
Surface Area = 6ah + 3√3a²
Where a is base edge and h is height.
Given that;
Base edge length a = 4cmHeight h = 7cmThe Lateral Area of the regular hexagonal prism will be;
Lateral Area = 6a × h
Lateral Area = 6( 4cm ) × 7cm
Lateral Area = 24cm × 7cm
Lateral Area = 168cm²
The Surface Area of the regular hexagonal prism will be;
Surface Area = 6ah + 3(√3)a²
Surface Area = 6(4cm × 7cm) + 3(√3)(4cm)²
Surface Area = 168cm² + 3(√3)16cm²
Surface Area = 168cm² + 83.138cm²
Surface Area = 251.138cm²
Given the base edge and the height, the lateral area and surface area of the regular hexagonal prism are 168cm² and 251.138cm² respectively.
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An internet cafe charges $3.75 to use a computer and $.45 per minute while accesing the internet. What function rule describes this situation?
Answer:
y = $3.75(x) + .45$
Step-by-step explanation:
Take the input and subsitute
Find the volume of a right circular cone that has a height of 4.5 ft and a base with a diameter of 19 ft. Round your answer to the nearest tenth of a cubic foot.
if it's diameter is 19, then its radius must be half that, or 9.5.
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=9.5\\ h=4.5 \end{cases}\implies V=\pi (9.5)^2(4.5)\implies V\approx 1275.9~ft^3[/tex]
I need help with 7 and 4 and 9 also 10
I will give the most higher points I got
PLS HELP ASAP!… WILL MARK BRAINLIEST
Which of the following are exterior angles? Check all that apply.
The exterior angles in the given triangle are angles 4 and 5.
What are the exterior angles?
The given shape is a triangle. A triangle is a three-sided polygon that has angles that sum up to 180 degrees. The exterior angle is the angle that is formed when a line is extended from the next side and the other side of the triangle. Simply put, it is the angle that is not inside the triangle.
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find the next 3 terms of the following sequences a.4,9, 16,25 b.1,4,9, 16 c.1,4,7,10 d.3,9, 15, 21
Answer:
for a) the next three would be 36, 49 and 64
for b) the next three would be 25, 36 and 49
for c) the next three would be 13, 16, and 19
for d) the next three would be 27, 33, and 39
Step-by-step explanation:
Answers:
(a) 36, 49, 64(b) 25, 36, 49(c) 13, 16, 19(d) 27, 33, 39========================================================
Explanations:
(a) The given terms 4,9,16,25 are perfect squares (eg: 16 = 4^2 and 5^2 = 25). The next set of perfect squares are 6^2 = 36, 7^2 = 49 and 8^2 = 64.(b) Similar to the previous part. This time the next three terms are 25, 36, and 49 because 5^2 = 25, 6^2 = 36 and 7^2 = 49.(c) We start at 1 and add 3 each time. This sequence is arithmetic. The next term after 10 is 10+3 = 13. After that is 13+3 = 16. Finally 16+3 = 19 is the last term we need.(d) Similar to part (c) earlier. This time we start at 3 and add 6 each time. The next three terms are 21+6 = 27, and 27+6 = 33, and finally 33+6 = 39Will works at a shoe store. For every 2 pairs of striped shoes he sells, he sells 3 pairs of neon shoes. Will sold 12 pairs of striped shoes. How many pairs of neon shoes did he sell?
A
12
B
8
C
30
D
18
Answer:
d
Step-by-step explanation:
12÷2×3=18
..........
What are the coordinates of point F?
Answer:
C. 4, -2 1/2
Step-by-step explanation:
(x,y)
its kinda easy
Use the functions a(x) = 7x + 10 and b(x) = 12x - 18 to complete the function operations listed below. Part A: Find (a + b)(x). Show your work. (8 points) Part B: Find (a - b) (x). Show your work. (8 points) Part C: Find (a - b)(x). Show your work. (9 points) Part D: Find a(b(x)]. Show your work. (10 points)
a) [tex](a+b)(x)=a(x)+b(x)=7x+10+12x-18=\boxed{19x-8}\\[/tex]
b) [tex](a-b)(x)=a(x)-b(x)=(7x+10)-(12x-18)=7x+10-12x+18=\boxed{-5x+28}[/tex]
c) [tex](a-b)(x)=a(x)-b(x)=(7x+10)-(12x-18)=7x+10-12x+18=\boxed{-5x+28}[/tex]
d) [tex]a(b(x))=a(12x-18)=7(12x-18)+10=84x-126+10=\boxed{84x-116}[/tex]
Given f(x) = x² + 4x - 3, find f(-3)
O -3
O -6
O 0
O 18
Answer:
f(-3) = -6
Step-by-step explanation:
f(x) = x^2 + 4x - 3
f(-3) means to put -3 in place of x and then do the calculation.
f(-3)
= (-3)^2 + 4(-3) - 3
= 9 - 12 - 3
= -3 - 3
= -6
First square -3, its 9. Then multiply -3 and 4, that's -12. Then add everything.
f(-3) = -6
What is the total number of different 9-letter arrangements that can
be formed using the letters in the word Projector?
I really need help with this
There is a rack of 11 billiards balls, numbered from 1 to 11. If one ball is selected at random, determine the odds in favor of it being at an even-number ball.
Answer:
5/11 odds / 45.45% chance of being even-numbered
Step-by-step explanation:
There are 5 even-numbered balls (2, 4, 6, 8, 10) and 6 odd-numbered balls (1, 3, 5, 7, 9, 11). So, 5 / 11 balls are even-numbered
if a ball is selected, it has a chance of 5/11 for being even-numbered
5/11 also = 45.45 % [rounded] chance of being even-numbered
how do you get 14 divided by 9 as a decimal
Answer:
14 divided by 9 = 1.5
The result of 14/9 is a non-terminating, repeating decimal.
Answer:
1.56 [?]
this question's wording was slightly confusing but I think this is what you meant
Step-by-step explanation:
by dividing the two numbers, (you can use long division or a calculator) while they are not in a fraction state (don't rewrite it as [tex]\frac{14}{9}[/tex], actually divide
14 by 9) you will end up with a number:
1.55555556
(repeating decimal)
So, you can either write this as 1.5 with a little dash over the 5
Or, you can round the decimal to 1.56 .
(method: by actual division)
Jessie is painting a cardboard box for a school project and needs to know much paint she needs to cover the box.
6n
10 in.
Answer:
incomplete question
Step-by-step explanation:
in order to calculate for the surface area of a rectangular box we would need 3 measurements:
length
width
height
you only provided 2
Which of the following is an example of an exponential function?
A.)f(x) = 4x3 + 2x2 – 3x + 9
B.) g(x) = log2(x)3
C.) h of x equals the quantity x squared plus 2x minus 7 end quantity divided by the quantity x plus 1
D.) p(x) = 500(1.02)x
Answer: D
Step-by-step explanation:
An example of exponential function is p(x) = 500(1.02)x Option D
Which of the following is an example of an exponential function?An exponential function is a mathematical function of the form f(x) = [tex]a * b^x[/tex], where 'a' and 'b' are constants, and 'x' is the variable. The function p(x) = [tex]500(1.02)^x[/tex] is in this form
Where 'a' is 500, 'b' is 1.02, and 'x' is the variable.
The variable 'x' is an exponent, which makes it an exponential function. Option D
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what percentage of 2m is 40cm
Answer:
20%
Step-by-step explanation:
the units of measure must be the same, so
2m = 2 × 100 cm = 200 cm
then
[tex]\frac{40}{200}[/tex] × 100%
= 0.2 × 100%
= 20%
Answer:
20%
Step-by-step explanation:
2 m = 200 cm We are required to find: what percentage of 2m is 40cm.Required percentage [tex]=\frac{40}{200}\times 100[/tex]Required percentage [tex]=\frac{4000}{200}[/tex]Required percentage [tex]=20%[/tex]EASY POINTS Which of the following best describes DG?
Answer:
A. median
Step-by-step explanation:
the median is the middle of the shape :)
what is the answer to this
Step-by-step explanation:
[tex]m {}^{2} + 5 \\ = 9 {}^{2} + 5 \: \: \: \: \: \: \\ = 9 \times 9 + 5 \\ = 81 + 5 \: \: \: \: \: \: \: \\ = 86 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
hope it will be helpful
Answer:
86
Step-by-step explanation:
Evaluate the expression:Plugin the value of m, in the expression
m² + 5 = 9² + 5
= 81 + 5
= 86
What is the directrix of the parabola defined by `(1)/(4)(y + 3) = (x − 2)^2`?
The directrix of the parabola is [tex]y = \frac {-49}{16}[/tex]
How to determine the equation of the directrix?The parabola equation is given as:
[tex]\frac 14(y + 3) = (x -2)^2[/tex]
A parabola is represented as:
[tex]4p(y - k) =(x -h)^2[/tex]
By comparing both equations, we have:
4p = 1/4 ==> p = 1/16
-k= 3 ==> k = -3
The directrix is represented as:
y = k - p
So, we have:
[tex]y = -3 - \frac 1{16}[/tex]
Take the LCM
[tex]y = \frac {-16 * 3- 1}{16}[/tex]
Evaluate
[tex]y = \frac {-49}{16}[/tex]
Hence, the directrix of the parabola is [tex]y = \frac {-49}{16}[/tex]
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Which of the following functions is graphed below?
Answer:
A.
Step-by-step explanation:
the correct answer is A. y=|x-2|+3.
For more details see the attachment.
Determine the cardinality of each set.
(a) {5, 1, 4, {6, 7, 8, ...}}
(b) {ø}
(c) {{{6, 7}}}
The cardinality of a set refers to the number of elements in the set. It is found by counting the elements in the set.
What is cardinality of a set?The cardinality of a set refers to the number of elements in the set. To obtain the cardinality, we have to count the elements in the set.
a) There are 6 elements in this set hence the cardinality is 6.
b) There is only one element in the set hence its cardinality is 1.
c) There are two elements in the set hence the cardinality is 2.
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A rectangle measures 12 m by 14 m. If the width is decreased by 3 m and the length is increased by 4 m, how much would the area change?
Answer:
6 m²
Step-by-step explanation:
Original area :
12 × 14 = 168 m²
New area :
(12-3) × (14+4) =
9 × 18 = 162 m²
168 - 162 = 6
Area would change by 6 m²
If F(x) = x-3, which of the following is the inverse of F(x)?
O A. F1(x) = x+ 3
B. F¹(x) = 3x
OC. F¹(x) = x-3
OD. F¹(x) = 3-x
Answer:
3-x is the inverse of f(x)=x-3
describe in detail how you would create a number line with the following points:3, 2.25, the oppisite of 4 and- (-1 1/2). please be sure to describe on which tick marks each point is plotted and how many tick marks are between each iteger. it may help for you to draw this number line by hand on a sheet of paper pls answer NO WRONG ANSWERES
Answer:
here man that's the answer
Let D = D(R), where Þ(u, v) = (u², u + v) and
R = [1, 8] × [0, 6].
Calculate
y dA.
Note: It is not necessary to describe D.
Joyda
=
The region [tex]D[/tex] is essentially parameterized in three dimensions by
[tex]\Phi(u,v) = (u^2, u+v, 0)[/tex]
with [tex]1\le u\le8[/tex] and [tex]0\le v\le6[/tex].
The normal vector to [tex]D[/tex] is
[tex]\vec n = \dfrac{\partial\Phi}{\partial u} \times \dfrac{\partial\Phi}{\partial v} = (0,0,2u)[/tex]
with norm [tex]\|\vec n\| = 2u[/tex].
Then the surface integral is
[tex]\displaystyle \iint_D y \, dA = 2 \int_0^6 \int_1^8 (u+v)u \, du \, dv \\\\ = 2 \int_0^6 \left(\frac{1022}3 + 63 v\right) \, dv = \boxed{3178}[/tex]
2a - (a + 3) I need Answers
Answer:
a-3
Step-by-step explanation:
[tex]2a-(a+3)\\= 2a - a - 3\\= a - 3[/tex]
Answer:
a-3
Step-by-step explanation:
2a - (a+3)
removing bracket
2a -a-3
a-3
final answer
a-3Is anyone able to solve this equation? It’s urgent
Answer:
1500
Step-by-step explanation:
You can find the complete solution in the given attachment
What is the solution to the equation |x − 4| = 17?
[tex]~~~~~~|x-4| = 17\\\\\implies x -4 = 17~~~~ \text{or}~~~~~ x -4 = -17\\\\\implies x = 17+4~~~~\text{or}~~~~~ x = -17+4\\\\\implies x = 21~~~~~~~~~\text{or}~~~~~x = -13[/tex]
What is the sum of the first 40 positive odd integers?
Answer:
1600
Step-by-step explanation:
[tex]\text{Number of terms}, ~n = 40\\\\\text{Sum of n odd integers} = n^2 = 40^2 = 1600[/tex]
I am 6 foot and 4 inches what is my height in metres?12 inches=to 1 foot and 1 foot=to 30 cm
Answer:
1.9 m
Step-by-step explanation:
1 ft = 30 cm (approximately)
12 in. = 1 ft
100 cm = 1 m
Find the height in ft:
4 in. / 12 in/ft = 1/3 ft
6 ft 4 in. = 6 ft + 1/3 ft = 6 1/3 ft
Convert ft to cm:
6 1/3 ft × 30 cm/ft = 190 cm
Convert cm to m:
190 cm × 1 m / 100 cm = 1.9 m