Answer:
(i) The lateral area of the right prism is 144 square units
(ii) The volume of the right prism is 249.42 cubic units.
Step-by-step explanation:
The lateral area of the right prism is calculated as;
Lateral area = perimeter of the base x height
Given;
a side of the hexagon base, s = 4
height of the prism = 6
perimeter of the hexagon = 6s
Lateral area = (6 x 4) x 6
Lateral area = 144 square units
Volume of the right prism is calculated as;
V = base area x height
base area of a hexagon = [tex]\frac{3\sqrt{3} \ \times \ s^2}{2}[/tex]
Volume of the right prism = [tex]\frac{3\sqrt{3} \ \times \ s^2}{2} \ \ \times \ \ h\\\\[/tex]
[tex]V = \frac{3\sqrt{3} \ \times \ (4)^2}{2} \ \ \times \ \ 6\\\\V = 249.42 \ cubic \ units[/tex]
A bicycle is on sale for 20% off The bicycle regularly costs $129.95 what is the sale price
Answer:$103.96
Step-by-step explanation: $129.95*0.2= $25.99
129.95-$25.99=$103.96
Answer:
Step-by-step explanation:
What is the midpoint of the line segment graphed below?
(5,9)
(2,-1) 10
-
A.
B. (7.10)
C. (7.8)
Answer:
Step-by-step explanation:
Use the midpoint calculator to find out the midpoint of a line segment, ... A graph showing how to find the midpoint of a segment on the Cartesian plane ... As a supplement to this calculator, we have written an article below that ... Divide 10 by 2, the result of which is 5, this is the y coordinate of the midpoint.
Use this graph of y = -2x - 8x- 3 to find the vertex. Decide whether the
vertex is a maximum or a minimum point.
-5
A. Vertex is a minimum point at (-2,5)
B. Vertex is a maximum point at (5,-2)
C. Vertex is a maximum point at (-2,5)
D. Vertex is a minimum point at (0, -3)
Answer:
Vertex is a Maximum point at (-2,5)
Step-by-step explanation:
9.Jazmine makes a base salary of $750 per week. She sold a car this week
for $25,000 and get a 3% commission on her sales. What is her total salary
this week?
Answer:
1,500
Step-by-step explanation:
Answer:
1,500
Step-by-step explanation:
I NEED HELP! Reflections! Please and thank you.
When reflecting across the x axis, the x values remain the same and the y values become the opposite of the original.
P' = (0,-3)
F' = (4,-2)
M' = (2,3)
Q' = (-2,2)
If EFG=35 and GFH=63 what is EFH
Answer:
98
Step-by-step explanation:
if EFG=35 and GFH=63 then you would just add them to get 98
For the given figure, the value of ∠EFH is 98°.
What is an angle?When two lines meet at a point then two angles are formed. In the same way, when two planes are intersected, angles are also formed.
Here, the value of the ∠EFG = 35° and the value of the ∠GFH = 63°.
From the given figure, it is clear that, the sum of the angles ∠EFG and ∠GFH is equal to the ∠EFH.
Therefore, ∠EFH = ∠EFG + ∠GFH = 35° + 63° = 98°
Hence, the value of ∠EFH is 98°.
Learn more about angle here: https://brainly.com/question/17581080
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Let a triangle with integer angle measures have one angle of 116°. What is the largest possible angle measure opposite the smallest side in the triangle?
Answer:
what will I do here?
Step-by-step explanation:
sorry im still grade 3
Six students earned a perfect score on a history quiz. Only 5% of the entire grade earned a perfect score. How many students are in the grade?
Answer:
120
Step-by-step explanation:
If 6 = 5%, then 6 = 1/20 of the total grade. 6×20= 120
What is the greatest common factor of the polynomial's terms?
18a6+36a3
(A) 54a9
(B) 18a3
(C) 6a3
(D) 9a3
Answer-
B) 18a3 is the highest common factor
Express In 32 - In 8 as a single natural logarithm.
In 4
In 24
In 256
Answer: In 4
Step-by-step explanation: 8*4=32
or
32;8=4
The simplified form for the expression ln 32 - ln 8 is ㏑ 4.
What is Natural Logarithms?Logarithms are generally inverse functions of the exponential functions. There are 2 main logarithms that we deal with. Logarithms with base 10 and logarithms with base [tex]e[/tex].
Logarithms with base [tex]e[/tex] is called Natural logarithms.
[tex]log_e[/tex] = ㏑
Given expression is ㏑ 32 - ㏑ 8.
We have to know the rule for logarithms to solve this.
We have the division rule of logarithms which states that,
㏑ (a / b) = ㏑ a - ㏑ b
Here, a = 32 and b = 8.
㏑ 32 - ㏑ 8 can be written as,
㏑ 32 - ㏑ 8 = ㏑ (32 / 8)
= ㏑ 4
Hence the simplified form is ㏑ 4.
Learn more about Natural Logarithms here :
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plz help asap thank you
Answer:3( 4x+2z+1)/3
Simplified
4x+2z+1 try to graph at desmos com
Step-by-step explanation:
Step-by-step explanation:
3(4x+3z+1)/3
=4x+3z+1
Lotsa Boats requires a deposit of $50 plus payment of $15 an hour for each hour for which the boat is rented. Which equation could be used to find the number of hours h the Johnsons rented the boat for if the required advance payment was $125?
Answer:
$50 + $15 (5) = $125
Step-by-step explanation:
first subtract $50 from $125 then divide that answer by $15
A car travels about 224 miles on 7 gallons of gas. About how far can the car travel on 12 gallons of gas?
Answer:
About 384 miles (correct me if I'm wrong but I think that's the answer)
find the sum of 3748 and 3242
Answer:
3748-22
3242-12
I think pls mark brainlist!
Make a Matlab script to make row 2 of matrix A equal to first row of A multiplied by the negative of the first element of row 2 plus the original row 2.
A= [2 -1 10]
[-3 8 4]
Answer:
[tex]X=\begin{Bmatrix}2& 1 &10 \\-3 & 5 & 4\end{Bmatrix}[/tex]
Step-by-step explanation:
From the question we are told that
Matrix is given as [tex]A=\begin{Bmatrix}2 & -1 & 10\\-3 & 8 & 4\end{Bmatrix}[/tex]
Generally let the change in matrix be given as X
[tex]X_1_2 = 2*(-(-1)) + - 1 = 1X_2_2 = -3 * (-(-1))+ 8 = 5[/tex]
Matlab output
[tex]A=[2 -1 10;-3 8 4]\\a=(A(1,1)*-A(1,2))+A(1,2)\\b=(A(2,1)*-A(1,2))+A(2,2)\\X=[A(1,1) a A(1,3); A(2,1) b A(2,3)]\\[/tex]
Generally the matrix that makes row 2 of matrix A equal to first row of A multiplied by the negative of the first element of row 2 plus the original row is
[tex]X=\begin{Bmatrix}2& 1 &10 \\-3 & 5 & 4\end{Bmatrix}[/tex]
I need help please. Will give brainliest
Answer:
volume of cuboid=l×b×h=8×4×4=128cm³
volume of half cylinder=1/2(π(d/2)²h)=1/2×22/7×8=12.57cm²
volume of figure=128-12.57=115.43cm²
According to a survey of workers,2/20 of them walk to work, 1/20 bike, 4/20 carpool,13/20 and alone. What percent of workers walk or bike to work?
Which statement about g(x) = x^2 - 576 is true?
Answer:
The second option.
Step-by-step explanation:
Let's see if this will work.
(x+24)(x-24)
Let's open the brackets
x^2 - 24x +24x - 576
= x^2 - 576
Please give brainliest
I hope you understand. If you don't. Please, leave a comment below.
I believe it’s D but I’m not sure please help this are my last points
Carrie recorded the temperature outside her school at the same time each day for four days. On Monday, the temperature was 11 degrees. On Tuesday, the temperature was 15 degrees less than the temperature on Monday. The temperature on Tuesday was ____ (choices 4 degrees, -4 degrees, 16 degrees)?
The temperature on Wednesday was 3 degrees greater than the temperature on Tuesday.
The temperature on Wednesday was ________ ( -1 degrees, -4, 1 degrees )?
On Thursday, the temperature was 4 degrees greater than the temperature on Wednesday.
The temperature on Thursday was ________ ( -6 degrees, 6 degrees, 3 degrees )?
What was the difference in degrees Fahrenheit between the temperature on Monday and the temperature on Wednesday?
The difference in temperature is ____ degrees.
Carrie also recorded the temperature outside her school on Friday. She calculated that the mean temperature for the 5 days, Monday through Friday was 2 degrees. What was the temperature in degrees Fahrenheit on Friday? Show or explain how you got your answer.
Please help me with my homework! Thank you!
The last traffic light before Maud gets home has a 44% chance of being green when she reaches it. Let I
be the number of times Maud reaches the traffic light before she has to stop at it. Assume that each time is
independent of the others.
Find the mean and standard deviation of T.
Round your answers to one decimal place.
Answer:
Mean = 1.8 times
Standard Deviation = 1.2 Times
Step-by-step explanation:
what number is 10% of 20
Answer:
You just move the decimal so 2
Step-by-step explanation:
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 125, 25, 5, .. ..
Answer:
Given sequence is an arithmetic sequence.
Step-by-step explanation:
Given sequence is:
125, 25, 5, .. ..
Here
[tex]a_1 = 125\\a_2 = 25\\a_3 = 5[/tex]
A sequence is geometric sequence when the common ratio of consecutive terms is same. It is denoted by r.A sequence is an arithmetic sequence when the common difference of consecutive terms is same. It is denoted by d.Finding the common ratio
[tex]r = \frac{a_2}{a_1} = \frac{125}{25} = 5\\r = \frac{a_3}{a_2} = \frac{25}{5} = 5[/tex]
As we can see that the common ratio is same, the given sequence is a geometric sequence.
Answer:
this is a geometric sequence and the common ratio is equal to 1/5.
Step-by-step explanation:
Keisha, John, and Chris have a total of $99 in their wallets. Keisha has %7 less than John. Chris has 2 times what Keisha has. How much do they have in their wallets?
Answer:
99 yeah yeah
Step-by-step explanation:
okayyyyyyy
5)
5 m
5 m
3 m
4 m
What is the surface area
Answer:
i think its 94m^2
Step-by-step explanation:
can someone help me with this??
Answer:
34 minutes: 22[tex]\frac{2}{3}[/tex] miles 1 hour: 40 miles
Step-by-step explanation:
First, find how far it will travel in 1 minute. This will make it easier to find the other distances. Use cross multiplication.
2[tex]\frac{1}{3}[/tex] miles 3[tex]\frac{1}{2}[/tex] minutes
? miles 1 minute
? = 2[tex]\frac{1}{3}[/tex] × 1 ÷ 3[tex]\frac{1}{2}[/tex]
= 2/3 miles in 1 minute
34 minutes?
2/3 × 34 = 22[tex]\frac{2}{3}[/tex] miles
1 hour (60 minutes)?
2/3 × 60 = 40 miles
A group of preschoolers has 8 boys and 24 girls what is the ratio of girls to boys
Answer:
1:3 (Boys : Girls)
Step-by-step explanation:
8/24 = 1/3 (divide by 8)
Answer: 1:3
Step-by-step explanation:
1:3
When you wash your hands, the faucet uses 1/3 of a gallon of water in 30 seconds. If it takes you a minute and a half to wash your hands, how much water will you use?
Answer:
3/3
Step-by-step explanation:
if 1/3 means 30 sec. then 3/3 would be a 1 min. and 30 sec
PLSSSSSSSSSSSSSSSSSSSSSSSS HELP ME!!
The direct proportion y=kx is given in the following table. Find the coefficient k, and fill in the table:
Answer:
For the top table:
[x] | 3.1 | 2.5 | 1.2 | 0.9 | 0.14 | 0.06 | 0.02 |
[y] | 15.5 | 12.5 | 6 | 4.5 | 0.7 | 0.3 | 0.1 |
For the bottom table:
k = 5
[x] | 3.1 | 2.5 | 1.2 | 0.9 | 0.14 | 0.06 | 0.02 |
[y] | 15.5 | 12.5 | 6 | 4.5 | 0.7 | 0.3 | 0.1 |
Help me pleaseee!,jejejejejejeke