Answers
Answer:
see explanation
Step-by-step explanation:
The triangular prism has 3 rectangular faces and 2 congruent triangular faces.
rectangular base CDEF = 8 × 2 = 16 cm²
rectangular side ABFE = 6 × 2 = 12 cm²
sloping rectangle ABCD = 10 × 2 = 20 cm²
2 triangular faces = 2 × [tex]\frac{1}{2}[/tex] × 8 × 6 = 48 cm²
Total surface area = 16 + 12 + 20 + 48 = 96 cm²
----------------------------------------------------------------------
The volume (V) of the prism is calculated as
V = Bh ( B is the area of triangular face and h the depth of the prism )
B = [tex]\frac{1}{2}[/tex] × 8 × 6 = 24 cm² and h = 2 cm
V = 24 × 2 = 48 cm³
Related Questions
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?
Answers
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 area of a circle with radius of 7cm using 3.14 for pi and round to he nearest tenth plz hurry
Answers
Answer:153.9 cm
Step-by-step explanation:
The area of a circle is found by pi × radius squared and pi is aprox 3.14 so 3.15×7² = 153.86 then round off to the nearest tenth you get 153.9
U multiply the radius times pi times radius
what are 2 binomials that are factors of this trinomial? x^2-x-20
Answers
Answer:
(x-5) (x+4)
Step-by-step explanation:
x^2 -x -20
What two terms multiply to -20 and add to -1
-5*4 = -20
-5+4 = -1
(x-5) (x+4)
Answer:
[tex](x + 4)(x - 5)[/tex]
Step-by-step explanation:
[tex] {x}^{2} - x - 20 \\ {x}^{2} - 5x + 4x - 20 \\ x(x - 5) + 4(x - 5) \\ (x + 4)(x - 5)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
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!!
Answers
Answer:
D) 7, 24, 25
Step-by-step explanation:
It's a Pythagorean triple.
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?
Answers
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
A new car has a sticker price of $25,550, while the invoice price paid on it was
$19,990. What is the percent amount of markup?
Answers
Answer: 27.81%
Step-by-step explanation:
write an expression that shows 7 times the quantity of 52 more than 6
Answers
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:
https://brainly.com/question/8846535
A trail mix consist of 7 3/4 oz of sunflower seeds, 9 1/4 oz of raisins, 4 1/4 oz of walnuts, and 7 1/2 oz of soybeans. If the mix is split equally between eight hikers, how much would each one get?
Answers
Answer:
Each biker gets 3 19/32 of the mix.
Step-by-step explanation:
In the questions, we are told that a trail mix consist
7 3/4 oz of sunflower seeds,
9 1/4 oz of raisins
4 1/4 oz of walnuts
7 1/2 oz of soybeans
Step 1
Add up every element in the trail mix
We have are given mixed numbers which is made up of whole number and a proper fraction
7 3/4 oz + 9 1/4 oz + 4 1/4 oz + 7 1/2 oz
So we add up the whole numbers first
27 + ( 3/4 oz + 1/4 oz + 1/4 oz + 1/2 oz)
Next, We find the lowest common multiple of the denominators of the proper fractions which is 4
= 27 + ((3×1) + (1×1) + (1×1) +(1×2)/4)
27 + (3+1+1+2) / 4
27 + 7/4
27 + 1 3/4
27 + 1 + 3/4
Total mix = 28 3/4
Step 2
If the mix is split equally between eight hikers, how much would each one get?
We would convert 28 3/4 into an improper fraction and divide it by 8 bikers
115/4 ÷ 8
115/ 4 × 1/8
= 115/32
Turning it into a mixed fraction, we have:
3 19/32
Therefore, each biker gets 3 19/32 of the mix.
What is the positive solution of x^2– 36 = 5x?
Answers
Answer:
9 and -4
Step-by-step explanation:
shop sells pencils in packs and in boxes. There are 4 pencils in a pack and 12 pencils in a box. Lola buys d packs of pencils. (a) Write down an expression, in terms of d, for the number of pencils Lola buys. (1) Rory buys x packs of pencils and y boxes of pencils. (b) Write down an expression, in terms of x and y, for the total number of pencils Rory buys.
Answers
Answer:
(a) 4d
(b) 4x+12y
Step-by-step explanation:
If there are 4 pencils in a pack and she buys d packs, the amount of pencils she gets is 4*d, or 4d. The same principle goes for (b). Hope this helps!
what do you add to 2/9 to make it a whole
Answers
Answer:
7/9
Step-by-step explanation:
9/9 = 1 whole
2+7 = 9
Answer:
7/9
Step-by-step explanation:
1 Whole = 1/1
2/9 + 7/9 = 1/1
or
1/1 - 2/9 = 7/9
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)
Answers
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)
How to do it ? plz answer it..
Answers
I hope you understand....
plz answer this step by step thank you x^2 + 15x + 56
Answers
Answer:
(x + 7)(x + 8)
Step-by-step explanation:
[tex] {x}^{2} + 15x + 56 \\ = {x}^{2} + 8x + 7x + 56 \\ = {x}(x + 8) + 7(x + 8) \\ = \huge \red{ \boxed{ (x + 8)(x + 7)}}[/tex]
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.
Answers
Answer:30
150
Obtuse
Acute
Adjacent
Answer:
30
150
Obtuse
Acute
Adjacent
Step-by-step explanation:
70 = -7 k solve the equations
Answers
Answer:
-10
Step-by-step explanation:
70= -7k
70 -7k
-- --
-7 -7
-10=k
Have a great day
Answer:
k= -10
Step-by-step explanation:
70= -7k
Divide both sides by -7
-7k/-7 = 70/7
Simplify
k=-10
If one person makes 18 dollars in 2 hours and the other makes 36 dollars in 3 hours who makes more money per hour??
Answers
Answer:
the second person because they make 12 an hour and the first person only makes 9 an hour
Step-by-step explanation:
please help me find this equation :)
Answers
2/3 x+1 = 1/6 x-7
4x+6=x-42
Multiply both sides by six to get whole numbers it makes it easier to work with.
3x=-48
Then move the x to the left of the equation away from the other numbered
X=-16
Finally divide both sides by 3 to get x alone and the answer
PLEASE HELP WILL MARK BRAINLIEST
Answers
true
false
9
are the answers:)
hope this helps!
Write down the value of of
(square root of 49)
Work out the value of
5^³
Answers
5 to the power of three is 125
Which is the graph of x^2/9 + y^2/4 = 1
Answers
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.
To learn more about the ellipse;
https://brainly.com/question/19507943
#SPJ3
Answer: F(x)=-4(x+7)^2-6
Answers
Answer:
y= 190
Step-by-step explanation:
y= 4(7^2)-6
Answer: 190
Hope this helps
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!!!!!
Answers
Answer:
507
Step-by-step explanation:
Ali and Felicia analyzed the patterns of equivalent ratios for StartFraction 3 Over 8 EndFraction in the table below.
A multiplication table. In the column labeled 3, the numbers 3, 6, 9, 12, 15, 18, 21, 24, and 27 are highlighted. In the column labeled 8, the numbers 8, 16, 24, 32, 40, 48, 56, 64, and 72 are highlighted.
The table below summarizes the method that each person used to write equivalent ratios for StartFraction 3 Over 8 EndFraction.
Step 1: Step 2: First ratio Step 3: Second ratio
Ali Extend the table to column 16. Pick a row. Write a ratio comparing a number in column 6 to a number in column 16. Pick a different row. Write a ratio comparing a number in column 6 to a number in column 16.
Felicia Extend the table to column 24. Pick a row. Write a ratio comparing a number in column 9 to a number in column 24. Pick a different row. Write a ratio comparing a number in column 9 to a number in column 24.
Which person has a pattern of equivalent ratios for StartFraction 3 Over 8 EndFraction?
Ali only
Felicia only
both Ali and Felicia
neither Ali nor Felicia
Answers
Answer:
Your answer would be c! Have a WONDERFUL DAY!! <3
Step-by-step explanation:
Answer:IT'S C LISTEN TO HER/HIM FOR CHRIST SAKES
Step-by-step explanation:Pls mark me brainliest
Find the selling price of an $25 item after a 20% markup.
Answers
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 :)
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.
Answers
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
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.
Answers
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.
To learn more about the volume visit:
https://brainly.com/question/13338592.
#SPJ2
Complete questions 1,2.
Answers
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:
What’s - 46.15 as a mixed number
Answers
Answer: -46 15/100
Explanation: (see pic attached)
Answer:
46 3/20
Step-by-step explanation:
Rewrite the decimal number as a fraction with 1 in the denominator
46.15=46.15/1
Multiply to remove 2 decimal places. Here, you multiply top and bottom by 10^2 = 100
46.15/1 x 100/100= 4615/100
Find the Greatest Common Factor (GCF) of 4615 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 5
4615/100 divided by 5/5= 923/20
Simplify the improper fraction
46 3/20
In conclusion
46.15= 46 3/20
I hope that helped ;)
another one hhh i must know
Answers
Answer:
35 degrees.
Step-by-step explanation:
Angle DGC and AGB are vertical angles. Therefore AGB is 90 degrees.
180 - (90 + 55) = 35 degrees.