Answers
The area is measurement of the surface of a shape. To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. Area, A, is x times y.
How do you find the area of a prism?The surface area of a triangular prism is defined as the sum of the area of its five faces. To calculate the surface area, we need the values of the base, length, and height of the triangular prism. Its formula equals the sum of two times the base area and three times the product of the base and length of the prism.Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A = 1 2 b h is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.To find the surface area of a prism, use the formula SA=2B+ph, where SA stands for surface area, B stands for area of the base of the prism, p stands for the perimeter of the base, and h stands for the height of the prism.Two triangles' area: 18×24÷6x3 = 432cm^2
The widest rectangle's area: 30×7 = 210cm^2
The rectangle facing the left's area: 18×7= 126cm^2
The rectangle facing the ground's area: 24×7= 168cm^2
Total Surface Area: 432+210+126+168 = 936cm^2
=936cm^2
To learn more about triangular prism refer to:
https://brainly.com/question/22284368
#SPJ1
Related Questions
Jared’s monthly income is 4500 Jared spend 11%of his income on grocies
Answers
Answer:
Jared's groceries = 495
Step-by-step explanation:
We calculate 11% from Jared monthly income:
11% x 4500 = 495
Jared's groceries = 495
Learn more about percentage here
https://brainly.com/question/24862040
#SPJ1
- 3 (x + 8) ^ 2 - 3
Answers
Answer:
-3x + 549
Step-by-step explanation:
The order of operations is PEMDAS(parenthesis, exponents, multiplication, division, addition, subtraction)
So, according to PEMDAS, the first thing that we would do is solve the parenthesis. Since we can't solve the parenthesis because they aren't like terms, we're going to use distributive property to solve it instead.
-3(x+8) = -3(x) + -3(8) = -3x -24
Now we have: -3x - 24 ^ 2 -3
Our next step is to solve the exponent
24 ^ 2 or 24 x 24 = 576
Now we have: -3x - 24 + 576 -3
Our next step would be to add and subtract the like terms
-24 + 576 = 552 and 552 - 3 = 549
Now we have: -3x + 549
This would be the simplest form of the equation because -3x and 549 are not like terms
Need help with my final it’s my final grade
Answers
Write f(x)=1/2x^2+1/2x-10 in intercept form. Then find the x-intercepts, the vertex, and the axis of symmetry of the graph of f.
Answers
f(x)=1/2x^2+1/2x-10 in intercept form is (1/2)(x+4)(x-3)
The x-intercepts are x=-5 and x=4.
The vertex of symmetry is (-1/2, -81/8).
The axis of symmetry is: x = -1/2
What is intercepts?A vertical intercept is a point where the graph of a function or relation meets the y-axis of the coordinate system in analytical geometry,
f(x) = 1/2x^2+1/2x-10
= (1/2)(x² + x - 20)
= (1/2) (x² + 5x - 4x - 20)
= (1/2) { x(x+5) -4(x+5)
= (1/2) (x+5)(x-4)
Hence, Intercept form: f(x) =(1/2) (x+5)(x-4)
The x-intercepts will be where the factors = 0
x + 5 = 0 ⇒x = -5
x - 4 = 0 ⇒ x = 4
Therefore, the x-intercepts are x=-5 and x=4
To find the axis of symmetry, take the average of intercepts (to find the center of parabola)
(-5 + 4)/2 = -1/2
Axis of symmetry ⇒ x = -1/2
To find the vertex, put the axis of symmetry into the equation
f(x) = (1/2)(x + 5)(x - 4) = (1/2)(-1/2 + 5)(-1/2 - 4) = (1/2)(9/2)(-9/2) = -81/8
vertex is (-1/2, -81/8)
Learn more about intercepts here:
https://brainly.com/question/14180189
#SPJ1
The x-intercepts, vertex, and axis of symmetry will be - 5 & 4, (-0.50, -10.125), and x = - 1/2, respectively.
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
The equation is given below.
f(x) = (1/2)x² + (1/2)x - 10
2f(x) = x² + x - 20
2f(x) = x² + x + 1/4 - 1/4 - 20
2f(x) = (x + 1/2)² - 81/4
f(x) = 1/2 (x + 0.50)² - 10.125
The x-intercepts are given as,
f(x) = 0
1/2 (x + 0.50)² - 10.125 = 0
(x + 0.50)² = 20.25
x + 0.50 = ± 4.50
x = - 0.50 ± 4.50
x = - 0.50 - 4.50, - 0.50 + 4.50
x = - 5, 4
The equation of the axis of symmetry is given as,
x + 1/2 = 0
x = - 1/2
The graph is attached below.
The x-intercepts, vertex, and axis of symmetry will be - 5 & 4, (-0.50, -10.125), and x = - 1/2, respectively.
More about the equation of the parabola link is given below.
https://brainly.com/question/20333425
#SPJ1
1. Write a function that represents the following description:
2.“After 8 hours, a person earned $148 in wages”
3. Write a linear function for the values given in the table below
Answers
a) After 8 hours, a person earned $148 in wages.
The function is, $x = 18.5 y
b) The linear function to represent the table is, y = 10x -4
What is Linear Function?A function with one or two variables and no exponents is referred to as a linear function. It is a function with a straight line as its graph.
Given:
a) After 8 hours, a person earned $148 in wages.
So, the unit rate change = 148/ 8
= 18.5
So, if y represents the number of hour and $x the wages, then the function is
$x = 18.5 y
b) The unit rate change for the function is
= (56-36)/(6-4)
= 20/ 2
= 10
So, the linear function to represent the table is
y - 36 = 10(x - 4)
y- 36 = 10x - 40
y = 10x -4
Learn more about linear function here:
https://brainly.com/question/20286983
#SPJ1
( NO LINKS ) If x=7, is this equation true? 7 + 9x > 73 *
option 1: Yes
option 2: No
Answers
Answer:
This is FALSE. Choose Option 2
Step-by-step explanation:
Substituting 7 for x, we get
7 + 9(7) > 73, or 70 73. This is FALSE. Choose Option 2
I don't get this, please help me.
Answers
Answer:
Ok
Step-by-step explanation:
Answer:
rate of change is 1
Step-by-step explanation:
She grew one inch per month
You are hired to work for a company at age 25 and the company has a retirement plan
where you can put up to 6% of your salary into the plan each month and they will match
that amount. Your starting monthly salary is $6,100, assume for simplicity sake you
never get a raise, and the retirement plan guarantees a 6.28% interest rate over the life of
the plan.
Scenario 1: You decide to start the retirement plan right away and you can afford
to put the full amount (6% of your salary) into the plan each month.
a) What is 6% of your salary? _______________
b) Since your company matches what you put into your retirement account, what is the
total amount put into your account each month?
_______________
c) How much money will you have in the retirement account when you reach full
retirement age, the time when you can start taking money out of the account, which is 62
years old? ________________
d) How much money did you put into the account? ________________
e) How much money did your employer put into your account? ________________
f) How much money did your account gain in interest over the years? _______________
Scenario 2: You decide to start the retirement plan right away, but you can only
afford to put 3% of your salary into the plan each month.
a) What is 3% of your salary? _______________
b) Since your company matches what you put into your retirement account, what is the
total amount put into your account each month?
_______________
c) How much money will you have in the retirement account when you reach full
retirement age, the time when you can start taking money out of the account, which is 62
years old? ________________
d) How much money did you put into the account? ________________
e) How much money did your employer put into your account? ________________
f) How much money did your account gain in interest over the years? _______________
What is the difference in the amount of money you will have at age 62 between scenarios
1 and 2? ________________
What is the difference in the amounts of money you put into retirement between
scenarios 1 and 2? _______________
How much more money did you get from your employer in scenario 1 than 2?
Answers
In scenerio 1, the money in the retirement account at 62 years old is $1,267,250.76
In scenerio 2, the money in the retirement account at 62 years old is $ 633,625.38.
How do we calculate future value of an ordinary annuity?Scenerio 1:
a) 6% of salary = Salary * 6% = $6,100 * 6% = $366
b) Total amount the company paid monthly = 6% of salary = Salary * 6% = $6,100 * 6% = $366
c) The money in the retirement account at 62 years old can be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity given as follows:
FV = M * (((1 + r)^n - 1) / r) ................................. (1)
Where:
FV = Future value = Money in the retirement account at 62 years old = ?
M = Monthly payment = Contribution you + Contribution by the employer = $366 + $366 = $732
r = Monthly interest rate = Annual interest rate / 12 = 6.28% / 12 = 0.0628 / 12 = 0.0052
n = number of months = Number years * Number of months in a year = (Retirement age – Age when hired) * 12 = (62 - 25) * 12 = 37 * 12 = 444
Substituting all the values into equation (1), we have:
FV = $732 * (((1 + 0.0052)^444 - 1) / 0.0052)
FV = Money in the retirement account at 62 years old = $1,267,250.76
d) Amount of money you put into the account = 6% of salary * number of months = $366 * 444 = $162,504
e) Amount of money your employer put into your account = Amount of money you put into the account = $162,504
f) Amount your account gained in interest over the years = FV – (Amount of money you put into the account + Amount of money your employer put into your account) = $1,267,250.76 – ($162,504 + $162,504) = $942,242.76
Scenario 2:
a) 3% of salary = Salary * 3% = $6,100 * 3% = $183
b) Total amount the company paid monthly = 3% of salary = Salary * 3% = $6,100 * 3% = $183
c) Using equation (1), we have:
M = Monthly payment = Contribution you + Contribution by the employer = $183 + $183 = $366
Substituting all the values into equation (1), we have:
FV = $366 * (((1 + 0.0052)^444 - 1) / 0.0052)
FV = Money in the retirement account at 62 years old = $633,625.38
d) Amount of money you put into the account = 3% of salary * number of months = $183 * 444 = $81,252.00
e) Amount of money your employer put into your account = Amount of money you put into the account = $81,252
f) Amount your account gained in interest over the years = FV – (Amount of money you put into the account + Amount of money your employer put into your account) = $633,625.38 – ($81,252 + $81,252) = $471,121.38
The difference in the amount of money at age 62 between scenarios 1 and 2 = Money in the retirement account at 62 years old in scenarios 1 + Money in the retirement account at 62 years old in scenarios 2 = $1,267,250.76 - $633,625.38 = $633,625.38
Difference in the amounts of money you put into retirement between scenarios 1 and 2 = $366 - $183 = $183
Amount got from your employer in scenario 1 than 2 = $366 - $183 = $183
Learn more about future value here: https://brainly.com/question/29380677.
#SPJ1
Sasha is a journalist for an online school magazine. She wants to know what topic readers are not interested in for the next publication
Sasha puts a survey on the magazine's website and considers the first 25 responses. Are conclusions drawn from this sample likey to be true for all readers of the magazine?
Answers
Answer:
Step-by-step explanation:
No, some people don't like certain things. It like saying that you pick five random people who are at a science fair and ask them if they like science, the answer would be yes, but if you went to Walmart and asked five random people if they liked science your answers would most likely end up being no. It's the same way looking at the magazines.
While Mike was visiting his sister in Arlington, he bought an aquarium that was marked down 60% from an original price of $100. If the sales tax in Arlington is 5%, what was the total cost of the aquarium?
Answers
Answer:
$42
Step-by-step explanation:
100 - 60% * 100 = $40
Since tax is 5%, therefore:
40 + 5% of 40 = $42
Thenks and mark me brainliest :))
Answer:
The answer is $42 but give the other guy brainliest.
Step-by-step explanation:
A club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee. The committee could have from 1 to 23 members. How many committees can be formed
Answers
The total number of such committees that may be created, divided by the prime numbers that divide N, is 81.
What is the prime numbers that divide N?In the scenario presented in this question, a club with 11 men and 12 women must elect a committee from among its members in order for there to be one more woman on the committee than males.
The committee might consist of only 1 person or up to 23 people.
Let N represent the maximum possible number of such committees.
The total number of prime numbers that divide N must be determined.
The number of ladies chosen will be m.
The number of guys who were not chosen would thus be:
11 - (m - 1) = 12 - m
Each pairing of men who were not chosen and women who were chosen represents a committee choice.
Since selecting 12 people from a total of 23 would result in m women and 12 - m males, the committee chose:
making use of a combination formula
N = 23C12
N = 23!/12!(23 - 12)!
N = 1352078
These are the main components of 1352078: 2, 7, 13, 17, 19, and 23.
Consequently, the prime number total would be,
2 + 7 + 13 + 17 + 19 + 23 = 81
The total of the prime numbers is thus 81.
The complete question is:
A club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee. The committee could have as few as 1 member or as many as 23 members. Let N be the number of such committees that can be formed. Find the sum of the prime numbers that divide N.
To learn more about prime numbers refer to:
https://brainly.com/question/30011920
#SPJ4
A coefficient indicates the number of times a term has been a. added b. subtracted c. multiplied d. divided
Answers
Answer:
C. Multiplied
Step-by-step explanation:
A coefficient is a quantity placed before a variable to indicate how many times it has been multiplied.
Leo's bank balances at the end of months 1, 2, and 3 are $1,500.00, $1,530.00, and $1,560.60, respectively. The balances form a geometric sequence.
What will Leo's balance be after 8 months?
Leo's bank balance will be $
after 8 months.
Answers
Leo's balance after 8 months is $1725.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
Example:
2, 4, 8, 16 is a geometric sequence.
We have,
1500, 1530, and 1560 is a geometric sequence.
First term.
a = 1500
Common ratio.
r = 1.02
The nth term of a geometric sequence is a[tex]r^{n-1}[/tex].
Now,
For n = 8,
8th term.
= 1500 x [tex]1.02^7[/tex]
= 1500 x 1.15
= 1725
Thus,
The balance after 8 months is $1725.
Learn more about geometric sequence here:
https://brainly.com/question/2321576
#SPJ1
If 2/3x-1=4,then x=?
Answers
Answer:
a
Step-by-step explanation:
The roof on a house is 6 metres wide peaks at at a height of 3 metres above the top of the walls. Find the length of the sloping side of the roof.
Answers
Karen has a square rug that covers 76.5 ft^2 of her living room floor. Which measurement is closest to the side length of this rug in feet?
A. 8 ft
B. 9 ft
C. 19 ft
D. 20 ft
E. 38 ft
F. None of the above
Answers
Two parallelograms below are similar. What is the length of BC
Answers
First, you will take 9/4 to find the similarity of the two parallelograms, and that will give you 2.25. Next, you will multiply that 2.25 to the 6 which will give you the length of BC. Your answer should then be 13.5.
Answer:
13.5
Step-by-step explanation
The two lengths for the first parallelogram is a ratio of 2:3
4 is 2 and 6 is 3
So for the other parallelogram, 9 would be in the first part of the ratio.
Meaning that the length BC would be 1/3 more than 9.
If we split 9 in half, it would be 4.5
9 + 4.5 = 13.5
hope this helps :)
The ratio of blueberries to strawberries is 1:7 if there are 210 strawberries how many blueberries are there.
Answers
Answer:
30 blueberries
Step-by-step explanation:
1: blueberry
7: strawberries
?: blueberries
210: strawberries
[tex] \frac{1}{7} = \frac{?}{210} [/tex]
210÷7=30
1×30=30
write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation
(-2,3); y=1/2x - 1
Answers
Answer:
y = -2x - 1
Step-by-step explanation:
y = -2x + b
3 = -2(-2) + b
3 = 4 + b
-1 = b
y = -2x - 1
Which equation represents the situation shown in the bar diagram?
A bar diagram with 15 across the top row and 4 n's and a 2 across the bottom row.
n + 2 = 15
4n + 2 = 15
4(n + 2) = 15
4n – 2 = 15
Answers
Answer:
try that it should help you with you question
Step-by-step explanation:
https://www.khanacademy.org/math/cc-2nd-grade-math/x3184e0ec:data/cc-2nd-bar-graphs/v/creating-bar-charts-1
11. - a? - 2bc - Icl
if a = -2, b = 3,
and c = -3
problem in the photo
algebra
Answers
The value of expression - a² - 2bc - |c| if a = -2, b = 3, and c = -3, is 11.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
Given:
- a² - 2bc - |c|, a = -2, b = 3, and c = -3,
Plug the values of a, b, and c as shown below,
- a² - 2bc - |c| = -(-2)² - 2 × (3) × (-3) - |-3|
- a² - 2bc - |c| = - 4 - 6 × (-3) - 3
- a² - 2bc - |c| = -4 + 18 - 3
- a² - 2bc - |c| = 18 - 7
- a² - 2bc - |c| = 11
Thus, the value of the expression is 11.
To know more about the expression:
https://brainly.com/question/13947055
#SPJ1
help
A certain television is advertised as a 38-inch TV (the diagonal length). If the width of the TV is 29 inches, how tall is the TV? Round to the nearest tenth of an inch.
Answers
Answer:
24.6
You are welcome
Step-by-step explanation:
(i made this account for my little sister so if you guys could help her with her questions that would be amazing) there are 115 chairs and there are 5 classes how many chairs does each class get
Answers
help ill give brainiest, dont guess. first answer gets brainiest
Answers
Answer:
8. Surface area = 85.5cm^2
9. Volume = 45.5cm^3
Step-by-step explanation:
8. A=2(wl+hl+hw)=2·(2·6.5+3.5·6.5+3.5·2)=85.5
9. V=whl=2·3.5·6.5=45.5
50 POINTS NEED HELP ASAP!!! What is the arc length of an arc with a central angle of 23π radians in a circle with a radius of 18 cm?
Enter your answer to the nearest whole centimeter in the box.
__cm
Answers
Answer:
38 cmStep-by-step explanation:
Arc length is:
s = rθ, where r- radius and θ - central angle in radianss = 18*(2/3)π ≈ 38 cmUse the general formula
L=rØL=2/3π(18)L=2(6)πL=12πL=38cmNow classify the polynomial.
7x² – 2x
Answers
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
[tex]7 {x}^{2} - 2x[/tex]
✏This is a quadratic polynomial because ² has been used as the exponent & degree.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
Answer:
this is a quadratic polynomial
Step-by-step explanation:
you go by the highest paired value so 7x^2 makes the equation quadratic .
Is gram mole equal to mole?
Answers
No, one mole is not equal to one gram. For an object, the mole and gram numerical values differ.
1 gram, what is it?
One mole consists of an Avogadro number of atoms. If you are aware of the mole quantity, you can convert a mole into grams.
The mole (symbol: mol) is the unit of material quantity used by the International System of Units. The amount of a substance determines how many elementary entities of that substance are present in an object or sample. The mole must contain precisely 6.02214076×10²³ elementary entities.
A mole's relationship to a gram is
The product of the number of Moles of an object to its atomic weight equals one gram.
To learn more about mole and gram, click on the below link:
brainly.com/question/29061471
#SPJ4
What are the properties of directed line segment?
Answers
The equation of the line segment is written in the form y = mx + b, where m is the slope and b is the y-intercept. Finally, a directed line segment is two-dimensional.
1. It has a definite starting point and a definite ending point.
2. It has a definite length.
3. It has a definite direction.
4. It has a slope and equation.
5. It divides the plane into two parts.
6. It is symmetric about its mid-point.
7. It is two-dimensional.
A directed line segment is a line segment that has a definite starting point and a definite ending point. Its length is the distance between the two points and it has a direction, given by the vector from the starting point to the ending point. The line segment divides the plane into two parts. It is symmetric about its mid-point, which is the point halfway between the two endpoints. It has a slope and an equation. The slope is the ratio of the change in y-coordinates to the change in x-coordinates. The equation of the line segment is written in the form y = mx + b, where m is the slope and b is the y-intercept. Finally, a directed line segment is two-dimensional.
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
Which equation, together with y = -1.5x + 3, makes a system with one solution?
Y= -1.5x + 6
Y= -1.5x
2Y= -3x + 6
2Y + 3x = 6
Y= -2x + 3
Answers
Answer:
2y + 3x = 6 is answer correct
What is the median of the set 5,6,9,11,12,14,20,23,24,24,30?
Answers
Answer:
14
The median is the one in the middle
;p