A slice is made perpendicular to the base of a right rectangular pyramid through the vertex. What is the area of the resulting two-dimensional cross section? Enter you answer in the box.
Area is a measure of space occupied in 2 dimensions. The area of the considered two dimensional cross section is:
[tex]\dfrac{1}{2}L.h \: \rm unit^2[/tex] (if cross section is with respect to length)[tex]\dfrac{1}{2}W.h \: \rm unit^2[/tex] (if cross section is with respect to width)[tex]\dfrac{1}{2}D.h \: \rm unit^2[/tex] (if cross section is with respect to diagonal)What is a cross section?When some high dimensional object is sliced by hyperplane, then the area of the intersection of the hyperplane with the object is the cross-section.
For the given case, the right rectangular pyramid sliced will be having a triangle with height same as that of the pyramid but base equal to either length or the width of the base rectangle, or the diagonal.
Thus, if we consider: L = length of base, W = width of base , D = diagonal's length of the base of the rectangular pyramid, with the height h units, then we get the cross section's area as:
[tex]\dfrac{1}{2}L.h \: \rm unit^2[/tex] (if cross section is with respect to length)[tex]\dfrac{1}{2}W.h \: \rm unit^2[/tex] (if cross section is with respect to width)[tex]\dfrac{1}{2}D.h \: \rm unit^2[/tex] (if cross section is with respect to diagonal)Learn more about area of cross-section here:
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You sell triangular flags made from felt. How much felt do you need to make 60 flags?
Answer:
61.
Step-by-step explanation:
because you make 60 flags then you will need 61.
61 felt do you need to make 60 flags.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
You sell triangular flags made from felt.
so, 61 felt do you need to make 60 flags.
because you make 60 flags then you will need 61.
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12men can clear a field in 5 days.How long would it take 15 men to clear the same field
Answer: 4 days
Step-by-step explanation:
We can divide to find how much of a field each man can clear in one day. Since it takes 12 men 5 days to clear a field, each man can clear 1/60th of a field each day.
If we multiply 15 men by 1/60th of a field per day, we see that the 15 men can clear 1/4th of a field each day, so it would take 4 days for them to clear the entire field.
Identify the shapes, using the names studied in this lesson
Answer: Rhombus
Step-by-step explanation:
It is a rhombus because all sides are equal and opposite sides are parallel.
Answer:
parallelogram
Step-by-step explanation:
Because the sides are parallel to each other.
Sean is filling his truck with gasoline. He knows the total cost, C, will be proportional to the
number of gallons of gasoline, g, that he puts into the gas tank. After putting 8.5 gallons in
.
the tank, the cost is $23.63.
(a) Find the ratio of the cost to the gallons as
(b) What is the real world meaning of your
a unit rate. Show the division as a fraction answer in (a)?
and then state the answer with appropriate
units.
(c) If c is the cost and g is the number of
gallons bought, write a proportion
involving c and g and then solve it for c.
(d) If Sean puts 17 gallons of gasoline into
his truck, what is his cost? Justify.
Part (a)
Divide the total cost over the number of gallons to get the unit cost
(23.63)/(8.5) = 2.78
Answer: 2.78=======================================================
Part (b)
The result of the previous part indicates the gas costs $2.78 per gallon.
=======================================================
Part (c)
c = cost in dollars
g = number of gallons bought
cost/gallons = cost/gallons
c/g = (23.78)/(8.5)
c/g = 2.78
c = 2.78g
This fits with what part (b) mentioned. The 2.78g means "2.78 times g".
Answer: c = 2.78g=======================================================
Part (d)
Plug g = 17 into the equation found in part (c)
c = 2.78g
c = 2.78*17
c = 47.26
Answer: $47.26A baker bakes muffins to sell at the local coffee shop for $3 each.
• The baker has some initial muffins ready to sell and must bake 4 more
batches of 2 muffins.
• The expression 3(4x + 24) represents the amount, in dollars, the baker earns
selling all the muffins.
How many muffins does the baker have initially?
The baker has initially made 24 muffins.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that a baker bakes muffins to sell at the local coffee shop for $3 each.
The expression that represents the money earned -
C(x) = 3(4x + 24)
In this equation : [x] represents the number of batches. Total muffins left to bake : 4[x]. Remaining muffins that were already made were are 24.
Therefore, the baker has initially made 24 muffins.
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Mika buys a dress for $43 that was
marked down from $68. What is the
percent discount off the original price?
A 25%
B. 37%
C. 58%
D. 63%
I need help. I will give 15 points for the answer
A saleswoman earns 30% commission on all the merchandise that she sells. Last month she sold $700 worth of merchandise. How much commission (in dollars) did she earn last month?
Answer:
$210
Step-by-step explanation:
Merchandise sold = $700
Commission = 30%
30% of $700 = 0.3 x 700 = $210
Hence, the saleswoman earn $210 in commission.
[RevyBreeze]
A ____ is a measuring stick that represents the actual wall frame, with markings made at the proper height for every horizontal member of the wall frame.
Answer:
Story Pole
Step-by-step explanation:
Source : Trust me bro
PLSSS HELP IF YOU TURLY KNOW THISS
Answer: A
Step-by-step explanation:
Last week, you watched 4 hours of TV. This week, you watched 8 hours of TV.
Place points on the graph to show your activity for last week and this week
Answer:
You decide that you will spend 2 times as many hours outdoors as you spend watching TV.
Let the hours spent outdoors be = o
Let the time spent on watching tv be = t
So, general equation becomes o=2to=2t
Last week, you watched 4 hours of TV. This week, you watched 8 hours of TV.
When t = 4
o = 2(4) = 8 hours
When t = 8
o = 2(8) = 16 hours
We have been asked to place points on the graph to show your activity for last week and this week.
Please find attached the points display.
hope it helps.MULTIPLE CHOICE QUESTION
ers
What is 0.25 as a fraction?
Answer:
1/4
Explanation: 0.25 multiplied by 4 is 1. This shows that 0.25 is 1/4 of 1
Write a multiplication sentence that proves the division sentence -30/5 = -6 is correct.
Answer:
he believed governing is very hard and needs help
Answer:
5 * -6 = -30
Step-by-step explanation:
You just have to do the reverse of the already existing division problem.
Can you guys help me, I'll really appreciate it, I need this to 14 February ill give you 30 points
Answer:
1. f(x) Domain [-3,∞) Range [0,∞)
2. g(x) Domain (-∞,∞) Range [√3, ∞)
3. h(x) Domain [3,∞) Range [0,∞)
4. i(x) Domain (-∞,-√3]∪[√3,∞) Range [0,∞)
5. j(x) Domain (-∞,∞) Range [0,∞)
6. k(x) Domain (-∞,∞) Range [0,∞)
7. f(x) Domain (-∞,∞) Range [3,∞)
Exercise 2 : no there is not an inverse. in about to have an inverse you have to have x and y. yes. if you restrict the domain of the finction so that its 1 to 1 which creates a new function youll have an inverse.
find the volume and height
Answer:
h = 11
Step-by-step explanation:
to find h
5² + h² = 12²
25 + h² = 144
h² = 144 - 25
h² = 119
h = 11
-5/6,-4/3 which is greater
Answer:
-5/6
Step-by-step explanation:
To figure out which one is greater, we need to convert them so they have a common denominator:
You can do this two ways, because 6 is a multiple of 3, we can just multiply the second fraction by 2:
[tex]\frac{-4}{3} \\[/tex] x 2 = [tex]\frac{-8}{6} \\[/tex]
[tex]\frac{-5}{6}[/tex]
The second way is multiplying both the fractions so they have a common denominator.
[tex]\frac{-5}{6} = \frac{-15}{18}[/tex]
[tex]\frac{-4}{3} = \frac{-24}{18}[/tex]
Because the numbers are negative, -15 is the greater number.
Therefore, [tex]\frac{-5}{6}[/tex] is the greater fraction.
Please help if you answer correctly I will give brainliest thank you!!!!!!!!
Answer:
The Answer is C
Step-by-step explanation:
3x-4y=5
2x+4y=-3
This equation is the answer to this problem because just by looking at it, you can immediately cancel out the y value and solve for x.
The other equations are wrong because their is extra work needed to eliminate the values.
Need the answer really struggling
Answer:
B and C are true.
Step-by-step explanation:
The triangle is reflected across x axis. So option 1 incorrect.It is translated 2 units to the right.B and C are correct.Put this into Slope Intercept Form
x + 6y = –6
Answer:
[tex]y=-\frac{x}{6} -1[/tex]
Step-by-step explanation:
Hi there!
We are given the following equation:
x+6y=-6
And we want to convert it into slope-intercept form
Slope-intercept form is known as y=mx+b, where m is the slope and b is the y intercept
The equation is currently in standard form, which is ax+by=c, where a, b, and c are integer coefficients
Notice how in standard form, both the terms that contain x and y are on one side, but in slope-intercept form, y is by itself on one side
So essentially, in order to convert from standard form to slope-intercept form, we need to solve for y
Here is our equation again:
x+6y=-6
Start by subtracting x from both sides
x+6y=-6
-x -x
_______________
6y=-x-6
Now divide both sides by 6
[tex]y=-\frac{x}{6} -\frac{6}{6}[/tex]
We can simplify the fractions to become:
[tex]y=-\frac{x}{6} -1[/tex]
Hope this helps!
See more on converting from standard to slope-intercept form here: https://brainly.com/question/26579052
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
Answer:
17.026cm2
Step-by-step explanation
b = P - a - c - d = 25 - 4 - 12 - 7.325 = 1.675 cm then apply formula of area of trapezoid which is: A = (a + b) * h / 2 = (4 + 1.675) * 6 / 2 = 17.026 cm2. boom there is your answer.
Which statement correctly describe the data shown in the scatter plot?
The scatter plot shows a negative association.
The point (2, 14) is an outlier.
The scatter plot shows a linear association.
The scatter plot shows no association.
A graph measuring variable y in relation to variable x. Multiple coordinates indicate a pattern of variable y increasing as variable x increases
Answer:
Hello! I wanted to explain the answer which someone might have already answered.. First off, I want to let you know that the Answer is "The scatter plot shows a linear association." But how? Well, linear means: "arranged in or extending along a straight or nearly straight line." Which if you didn't notice.. All the points on the graph, make up a generally straight line.
"No association" means there is no line or association with any of the points. So, you'd pick that if the points were all over the graph in no order, line or combination; which isn't the case.
"Negative association" is when the top of the points come from the left of the graph lowering into the right. While Positive association would be from right to left. So, it couldn't be choice "Negative Association" since it's coming from right to the left of the graph.
"The point (2, 14) is an outlier." If you didn't know, an outlier is one dot out of a whole group. Think of it as if EVERYONE was wearing pink except one; who wore black. It's just the out of placed kind of dot; but it's supposed to be there. When you look at the graph, there is no dot or outlier at point (2,14) so, that's automatically out as well.
Ending with the last choice "The scatter plot shows a linear association." which is not just true but is the only one that'd make since. So, I hope this helped you!
I HOPE THIS HELPS YOU! BE SAFE :)
Answer:
The scatter plot shows a linear association
Step-by-step explanation:
credit goes to ssanc053
PLEASE HELP OMG THIS IS SO HARD
can you simplify 5+3 (5) + (-4) (5)
simplify - maths to reduce (an equation, fraction, etc) to a simpler form by cancellation of common factors, regrouping of terms in the same variable, etc.
______________
PEMDAS RULEP - ParenthesesE - ExponentsM - MultiplicationD - DivisionA - AdditionS - Subtraction______________
[tex]\huge\red{\mid{\underline{\overline{\textbf{EQUATION}}}\mid}}[/tex]
[tex]5+3 (5) + (-4) (5)[/tex]
Follow our PEMDAS rule
[tex]5+3 (5) + (-4) (5)\\5+15-4\cdot5\\5+15-20\\20-20\\0[/tex]
[tex]\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}[/tex]
[tex]5+3 (5) + (-4) (5)\:\:\:\:simplified\:=0[/tex]
Look at the screen shot
Answer:
M- MONICA
Step-by-step explanation:
Solve the problems involving slope.
1. Based on the graph, what is the slope
of the line?
y = 2x - 3
Fill in the table above.
What’s the ratio of cost to bags of salad?
How much does one bag of salad cost (unit rate)?
find the measure of the indicated angle
Answer:
B=53
C=127
D=127
Step-by-step explanation:
PLS I WILL GIVE YOU 23 POINTS IF YOU ANSWER ME CORRECTLY
The diagram shows 3/4 of a fraction strip shaded. Mary erases some of the shadings to show 5/8. Explain the steps she took to shade 5/8 of the fraction strip.
Answer:
She shaded off 1/8 of the fraction strip.
Enjoy ;)
Answer:
a 8 parts b 8 3|4 3 × 4|4 × 2= b 8
Step-by-step explain
· Amani and Danielle are buying hair spray. They can buy 4 bottles of Rave and 5 bottles of Max for $30.00, or
they can by 1 bottle of Rave and 1 bottle of Max for $6.50. If r is the cost of a bottle of Rave and m is the cost
Fa bottle of Max, how much does each bottle of hair spray cost?
Answer:
3.25, I don't know, I'm in like 1st grade
Step-by-step explanation: