Answer:
(C)108 square feet
Step-by-step explanation:
A net of triangular prism consists of two triangular and three rectangular faces.
The net attached is that of a right triangular prism.
Area of One Triangular Face =0.5 X 3 X 4=6 square feet
The rectangular faces are of dimension 4 ft by 8 ft, 5ft by 8ft and 3ft by 8 ft respectively.
Therefore:
Surface Area of the net =2(6)+(4X8)+(5X8)+(3X8)
=12+32+40+24
=108 square feet
The correct answer is C.
Answer:
108
this is correct, trust me
Which is the graph of x^2/9 + y^2/4 = 1
Answer:
Step-by-step explanation:
it is an ellipse.
The graph of the ellipse (x²/3²) + (y²/2²) = 1 is given in the image below.
What is an ellipse?An ellipse is a closed curve in a plane that is symmetric around two perpendicular lines known as the ellipse's axis.
The given equation is in the standard form of the equation of an ellipse centered at the origin with its major axis on the x-axis and its minor axis on the y-axis:
(x²/3²) + (y²/2²) = 1
The square of the semi-major axis (a) is 3² = 9, so the semi-major axis is a = 3.
The square of the semi-minor axis (b) is 2² = 4, so the semi-minor axis is b = 2.
Therefore, the characteristic of the given ellipse is:
a²- b² = 9 - 4 = 5
So the characteristic of the ellipse is 5.
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Write the product using exponents.
(-9).(-9) · (–9) · (–9) · (-9)
Using exponents the product is
Answer:
-9^5
Step-by-step explanation:
5 is the base that makes -9 repeats its self 5 times
Answer:
[tex](-9)^{5}[/tex], negative 9 to the power of 5.
Step-by-step explanation:
We multiply -9 by itself 5 times. Using the definition of exponents, we can rewrite it with base -9 and exponent 5.
I hope this helps.
The perimeter of the patio shown below is 120 feet. Develop a formula to find y in terms of x. Explain your work.
Answer:
Perimeter of the given patio is [tex](\pi+6)y + 10x +8[/tex].
Step-by-step explanation:
Let us first label the given patio using the points A, B, C, D, E and F as shown the attachment diagram.
Perimeter of given figure can be found by the following:
Perimeter of polygon ABPCDEQF + Perimeter of semi-circle with diameter as EF.
Let us mark points P and Q on sides AB and FA respectively.
These points P and Q are just opposite to point D. Please refer to attached diagram for details.
As this figure has symmetry so, sides
[tex]side\ AP =side\ FE\ i.e\ 2y\\side\ AQ =side\ BC\ i.e.\ 2y\\side\ PB =side\ CD\ i.e.\ 3x+5\\side\ QF =side\ DE\ i.e.\ 2x-1[/tex]
Perimeter of polygon APBCDEQF = AP + PB + BC + CD + DE + FQ + QA (Side EF is not on the periphery so it is excluded)
[tex]\Rightarrow 2y + (3x+5) + 2y + (3x+5) + (2x - 1) + (2x-1) + 2y\\\Rightarrow 6y + 10x + 8 ...... (1)[/tex]
Perimeter of semicircle = [tex]\pi \times radius[/tex]
Radius of semicircle is y.
[tex]\text{Perimeter of semicircle = }\pi \times y ...... (2)[/tex]
Adding equations (1) and (2):
[tex]\text{Total perimeter = }6y + 10x + 8 + \pi y \\\Rightarrow (\pi+6)y + 10x + 8[/tex]
Perimeter of the given figure is [tex](\pi+6)y + 10x +8[/tex]
What is the positive solution of x^2– 36 = 5x?
Answer:
9 and -4
Step-by-step explanation:
Find the midpoint of a line segment starting from the origin and ending at (–8, 0).
Question 6 options:
A)
(0, 0)
B)
(–16, 0)
C)
(0, –4)
D)
(–4, 0)
Answer:
Option D
-4, 0
Step-by-step explanation:
We will first of all identify the coordinates we are dealing with here.
The coordinates for this question (x,y) are: (0,0) and (-8,0)
The next thing we will do is get the formula for finding mid points of line segments.
This is [tex](\frac{x_{1}+x_{2}}{2}, )(\frac{y_{1}+y_{2}}{2}, )[/tex]
Next we will substitute the values of x 1 ,x 2, y 1, and y 2 into the equation.
We will have
[tex](\frac{0+(-8)}{2}, )(\frac{0+0}{2}, )=(-4, 0)[/tex]
Hence the coordinates of the midpoint is (-4,0)
Nandini makes 'halwa' one evening and divides it into four equal portions for her family of four. However, just as they are about to eat it, an unexpected guest arrives and Nandini has to now re-divide the halwa into five equal portions. By what percentage has each family member's share reduced due to this?
Answer:
5%
Step-by-step explanation:
We know that when there are four people, then each person gets 25% of the halwa. However, when the fifth person comes, they have everyone including the guest get 20% of the halwa. In this way, the original four people are losing 5% of their halwa in order for the fifth person to get his piece
What is the volume of a cylinder with base radius 2 22 and height 9 99? Either enter an exact answer in terms of π πpi or use 3.14 3.143, point, 14 for π πpi and enter your answer as a decimal.
Answer: 44[tex]\pi[/tex]
Step-by-step explanation:
khan academy
The volume of a given cylinder is 113.04 cubic units.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, a cylinder with base radius 2 units and height units.
We know that, the volume of a cylinder is πr²h.
Now, volume = 3.14×2²×9
= 113.04 cubic units
Therefore, the volume of a given cylinder is 113.04 cubic units.
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1. Give an example of Similarity in your everyday life
Answer:
a similartity is we both are questioners
Step-by-step explanation:
What is the measure of missing angle?
Answer:
[tex]x = 115[/tex]
First answer is correct.Step-by-step explanation:
lets get the missing side as x
[tex]75 + 40 = x \\ 115 = x[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
PLEASE HELP WILL MARK BRAINLIEST
What is the answer for (5p2 - 3p + 4) - (2p2 - 9p + 8) ?
Answer:
3(p+1)²-7
Step-by-step explanation:
(5p² - 3p + 4) - (2p² - 9p + 8) =3p²-12p-4=3(p+1)²-7
Answer:
[tex]3p^2+6p-4[/tex]
Step-by-step explanation:
[tex](5p^2-3p+4)-(2p^2-9p+8)[/tex]
Now, combine like terms.
[tex](5p^2-2p^2)+(-3p+9p)+(4-8)[/tex]
[tex]3p^2+6p-4[/tex]
Sam scored 80% on Part A of a math test and 92% on part B of the math test. His total mark on the test was 63. The total possible marks for the test was 75. Which system of equations represents the situation?
Answer:
0.80A + 0.92B = 63 .....1
A + B = 75 ......2
Step-by-step explanation:
Let A and B represent the total possible score in part A and B respectively;
Analysing each sentence of the question;
Sam scored 80% on Part A of a math test and 92% on part B of the math test. His total mark on the test was 63
80% of A + 92% of B = 63
0.80A + 0.92B = 63 ......1
The total possible marks for the test was 75;
A + B = 75 .....2
So, equation 1 and 2 provides a set of simultaneous equations that can be used to represent and solve the situation.
Solving the simultaneous equations, we will arrive at;
Part A = 50
Part B = 25
A prism has a length of 13 meters, a height of 3 meters, and width of 13 meters. What is the volume of the prism? m3
NEED HELP FAST!!!!!
Answer:
507
Step-by-step explanation:
Use the protractor tool to measure the angles in the diagram.
mAngleSUT equals degrees.
mAngleTUW equals degrees.
AngleTUW is a(n) angle.
AngleSUT is a(n) angle.
AngleTUW and AngleSUT are angles.
Answer:30
150
Obtuse
Acute
Adjacent
Answer:
30
150
Obtuse
Acute
Adjacent
Step-by-step explanation:
Please help it’s multiple choice.
Answer:
I would like to help you, but I don't see the picture... I will help you the best that I can.
Step-by-step explanation:
1. Addition all the B's fractions on the diagram,
2. Put the result in decimal number,
3. Addition all the fractions on the diagram,
4. Put the result in decimal number,
5. Put the result of B on the other result to obtain a new fraction,
6. Divided the result to obtain the lowest fraction possible,
7. Here is your answer!
I can't guarantee you that it's the good answer, but it's the best that I can do.
A farmer sells 8.7 kilograms of pears and apples at the farmer's market. 2 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer: 5.22kg
Step-by-step explanation:
From the question, a farmer sells 8.7 kilograms of pears and apples at the market. Of the pears and apples sold, 2/5 of this weight is pears, and the rest is apples. To calculate the kilograms of apple sold goes thus:
Total kilograms sold = 8.7kg
Fraction of pears weight = 2/5
Pears kilograms sold = 2/5 × 8.7
= 0.4 × 8.7
= 3.48kg
Since the kilograms of pears sold is , 3.48kg, to get the kilograms of apple sold, we subtract 3.48kg from 8.7kg. This will be:
= 8.7kg - 3.48kg
= 5.22kg
The function y=-16x^2+36 represents the height y (in feet) of an apple x seconds after falling from a tree. Find and interpret the x - and y -intercepts.
Answer:
292
Step-by-step explanation:
I don't know if it's correct but You need to learn pemdas
Btw I did this menatlly
Please help please
-2x - x + 8 = ?
Answer:
-3x + 8
Step-by-step explanation:
Simplify. combine like terms (terms with the same amount of variables).
Subtract -2x and x: -2x - x = -3x
-3x + 8 is your answer.
~
2x + y = 12
x = 9 - 2y
x + 2y = 9
2x + 4y = 20
x + 3y = 16
2x - y = 11
y = 11 - 2x
4x - 3y = -13
y = 10 + x
-3x + 3y = 30
2x + y = 11
x-2y=-7
x = 2, y = 7
x = 5, y = 2
>
x= 3, y=5
x = 7, y=3
Answer:
Whats the question?
Step-by-step explanation:
Answer:
i need a queastion to answer this..
Step-by-step explanation:
Rhonda saved 356 pennies. Her sister saved 243 pennies. They kept 250 pennies out and place the rest pennies into shared piggy bank. How many pennies did they place in there piggy bank?
Answer:
106 pennies
Step-by-step explanation:
Rhonda's sister is scamming Rhonda lol
write an expression that shows 7 times the quantity of 52 more than 6
Answer:
7·52≥6 dont do the line under the more than sign i couldnt find the symbol without the line and the dot means multiplying PLEASE MARK THE BRAINLIEST
Expressions can be represented as equations or inequalities or neither.
The required expression is: 7 * 52 - 6
7 times the quantity of 52 means 7 * 52
More than 6 means we subtract 6 from 7 * 52
So, we have:
7 * 52 - 6
Hence, the expression that shows 7 times the quantity of 52 more than 6 is: 7 * 52 - 6
Read more about expressions at:
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The algebraic expression 4x2 + 3x + 5 is a polynomial.
Please select the best answer from the choices provided
T
F
Answer: The answer is False
Step-by-step explanation:
I just took it
Complete questions 1,2.
Answer:
to change a mixed number into an improper fraction, you just need to take the whole number in the problem and multiply it by the denominator and add it to the numerator.
To change an improper fraction into a mixed number you divide the numerator by the denominator and put the whole number you get in front of the left over fraction.
Step-by-step explanation:
find the volume of a regular hexagonal prism with the height of 22 apothem of 16 and a side length of 8
8778 cubic units
8558 cubic units
8448 cubic units
8668 cubic units
Answer:
[tex]V=8,448u^3[/tex]
Step-by-step explanation:
The volume of a prism is given by:
[tex]V=A_{b}*h[/tex]
where [tex]A_{b}[/tex] is the area of the base, and [tex]h[/tex] is the height of thr prism.
We know that the height is:
[tex]h=22[/tex]u
and the bases of this prism are hexagons.
Thus the area of the base is the area of a regular hexagon:
[tex]A_{b}=\frac{n*l*a}{2}[/tex]
where [tex]n[/tex] is the number of sides: for an hexagon: [tex]n=6[/tex]
[tex]l[/tex] is the length of each side: [tex]l=8[/tex]u,
and [tex]a[/tex] is the apothem: [tex]a=16u[/tex]
we substitute all of this to find the area of the base:
[tex]A_{b}=\frac{6*8u*16u}{2}\\ \\A_{b}=\frac{768u^2}{2}\\ \\A_{b}=384u^2[/tex]
and finally we use the formula for the volume:
[tex]V=A_{b}*h[/tex]
we get the following:
[tex]V=384u^2*22u\\V=8,448u^3[/tex]
which is the third option
Find the selling price of an $25 item after a 20% markup.
Hello!
Answer:[tex]\boxed{ \bf The~marked~up~price~is~$30.}[/tex]The price will be $30.
Explanation:To find the selling price, we must calculate 20% of $25 and add it to the price.
20% = 0.20
25 × 0.20 = 5
Add this number to the price of the item.
25 + 5 = 30
Answer:
$30
Step-by-step explanation:
$25 item
Markup = Increase
The $25 is increased by 20%
Write 20% as a decimal
Decimal = % / 100
20/100 = 0.2
Multiply 0.2 by 25
0.2(25) = 5
We know that the price that it was marked up is $5
Add this to the original amount ($25) to find the final price after being marked up.
$25 + $5 = $30
Hope this helps :)
Answer: F(x)=-4(x+7)^2-6
Answer:
y= 190
Step-by-step explanation:
y= 4(7^2)-6
Answer: 190
Hope this helps
Angles ABC and ADF are alternate interior angles. The measure of angle ABC is equal to (8x+4)° and the measure of angle ADF is equal to(10x-20)°. Determine the measure of each of the angles.
Answer:
∠ABC = 100°
∠ADF = 100°
Step-by-step explanation:
(8x + 4)° = (10x - 20)°
(2x)° = 24°
x = 12°
Compute, knowing that x = 12°
8x + 4 = 8 · 12 + 4 = 100°
10x - 20 = 10 · 12 - 20 = 100°
Need the answer for my sister at 4:40pm!!!!!!!
Find the mean and mode of: 120, 205, 90, 205, 85
Answer:
Mean = 141
Mode= 205
Step-by-step explanation:
Mean = all of the numbers added, then divided by the number of numbers there are.
120+205+90+205+85= 705
705 ÷ 5 = 141
The mode = the number that is repeated. 205 if the mode because it is the only number that is repeated.
I hope this helps :)
Which of the following side lengths would make a right triangle? )there is only ONE answer)
A) 3, 4, 6
B)6, 9, 22
C)8, 34, 36
D)7, 24, 25
PLS HELP WILL GIVE BRANLIEST, EXTRA POINTS!!
Answer:
D) 7, 24, 25
Step-by-step explanation:
It's a Pythagorean triple.
You put $800 in a savings account. The account earns 4% simple interest per year.
a. What is the interest earned after 5 years?
The interest earned is $__ after 5 years.
b. What is the balance after 5 years?
The balance is $__ after 5 years.
Answer:
A. 160
B. 960
Step-by-step explanation:
The interest earned after 5 years is the balance - the initial balance: 160
The balance is 800 * (1 + .04*5): 960