The prism and pyramid above have the same width, length, and height. The volume of the prism is 36 cm3. What is the volume of the pyramid?
Answers
Base Area and height being the same for a pyramid and a prism, the volume of the pyramid is always one third that of the prism.
A similiar fact pertains to Cone vs Cylinder...these 3 dimensional volumes have a ratio of 1/3 to one another.
In two dimensions, there's a ratio of 1/2 between areas of triangles and rectangles having the same base & height.
Related Questions
Find the value of each variable for y and z
Answers
Answer:
y = 102° , z = 75°
Step-by-step explanation:
Assuming this is geometry, you must find the value of 'z' first.
Using the [Supplementary Angles Theorem] for 'z' :
105° + z = 180°
Solve for z.
z = 75°
You may also hear that those two angles are a 'Linear Pair'
Then using the formula for: [Sum of Internal Angles]
Which is: sum = (n-2) * 180° where 'n' is the number of sides
The total sum of internal angles of a quadrilateral is 360°
Now knowing 3 of the 4 interior angles, you can just do arithmetic:
99° + 84° + 75° + y = 360°
Simplify:
258° + y = 360°
Therefore:
y = 102°
Find the exact value of each of the remaining trigonometric functions of theta when tan theta = -3/4
Answers
Step-by-step explanation:
sinΘ=-3,cosΘ=4,cotΘ=-4/3,secΘ=1/4 & cosecΘ=-1/3
Josh started washing at 4:07 PM and finished at 5:31 PM. How long did it take him? Give your answer in hours and minutes?
Answers
In his 2011 State of the Union Address, President Barack Obama said:
"To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet. Our infrastructure used to be the best, but our lead has slipped. The jobs created by the transcontinental railroad & the Interstate Highway System didn't just come from laying down track or pavement. They came from businesses that opened near a town's new train station or the new off-ramp.
We've begun rebuilding for the 21st century. And tonight, I'm proposing that we redouble those efforts. We'll put more Americans to work repairing crumbling roads and bridges. Within 25 years, our goal is to give 80% of Americans access to high-speed rail. Within the next five years, we'll make it possible for businesses to deploy the next generation of high-speed wireless coverage to 98% of all Americans. This isn't just about faster Internet or fewer dropped calls. It's about connecting every part of America to the digital age."
Is this excerpt from President Obama’s speech an example of argument or persuasion? Provide at least two reasons to support your answer. Answer in complete sentences.
please help 100points!!!!
And I will make brainiest
only if there is a good explanation.
Answers
Answer: This is a persuasion. Where he says "To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet." He is stating the problem. Also where he says "I'm proposing that we redouble those efforts." he is prompting a solution to the problem. Furthurmore, he’s stating the problem and teaching you how to figure out the solution.
Step-by-step explanation:
2. A coin is tossed, then a
letter from the word
INDIANAPOLIS is selected at
random. Find each
probability.
Answers
N : 2/12 or 2/6
D : 1/12
A: 2/12 or 2/6
P: 1/12
O: 1/12
L: 1/12
The probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
We have a coin tossed, then a letter from the word INDIANAPOLIS is selected at random.
Probability for getting head or tell:
P(h) = 1/2
P(t) = 1/2
The word INDIANAPOLIS has 12 letters with 3I's, 2A's, 2N's, 1D's, 1P's, 1L's, 1O's, and 1S's
Probability for getting letter P:
P(getting letter P) = 1/12
P(heads, then letter P) = P(heads)×P(getting P) = (1/2)(1/12) = 1/24
P(tails) = 1/2
P(getting a vowel) = 6/12 = 1/2
P(tails then a vowel) = (1/2)(1/2) = 1/4
P(tails then N) = (1/2)(2/12) = 1/12
P(heads then D or I) = (1/2)(4/12) = 4/24 = 1/6
Thus, the probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.
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One Friday night, two large groups of people called Weston Taxi Service. The first group requested 2 sedans and 1 minivan, which can seat a total of 14 people. The second group asked for 2 sedans and 2 minivans, which can seat a total of 20 people. How many passengers can each type of taxi seat? Write a system equation of the this.
Answers
Answer:
Sedan: 4 passengers
Minivan: 6 passengers
Step-by-step explanation:
We can write the following system of equations:
[tex]\begin{cases}2s+1m=14 \\2s+2m=20\end{cases}[/tex], where [tex]s[/tex] represents the number of people a sedan can seat and [tex]m[/tex] represents the number of people a minivan can seat.
Subtracting the first equation from the second, we have:
[tex]2s+2m-(2s+1m)=20-14,\\\\m=6[/tex]
Now plug in [tex]m=6[/tex] in any of the equations to solve for [tex]s[/tex]:
[tex]2s+1(6)=14, \\2s=8, \\s=4[/tex]
Verify that the solution pair [tex](4, 6)[/tex] works:
[tex]2(4)+1(6)=14\: \checkmark \\2(4)+2(6)=20 \: \checkmark[/tex]
Therefore, a sedan can hold 4 passengers and a minivan can hold 6 passengers.
1. What is the 15th partial sum of the geometric sequence {262,144; 32,768; 4,096; 512; ..)? Round to the nearest whole number, if needed.
Answers
The average of three test scores is 82. The scores on the first test and the third test are the same. The score on the second test is 6 less than the score on the first test. What is the score on the first test?
Answers
Answer:
84
Step-by-step explanation:
Let x = the test
(x + x + ( x - 6))/3=82
((3x - 6)/3) • 3= 82 • 3
3x - 6 + 6 = 246 + 6
3x = 252
3 3
x = 84
Solve this equation for a:
–5 + 4a = 27
Answers
Answer:
a=8
Step-by-step explanation:
solve for a by adding 5 on both sides
4a=32
Now divid 4 on both sides
a=8
HELP MWAH WITH YOURS TRULYS MATH
Answers
Answer:
its 1/2
Step-by-step explanation:
because 1/2 of 10/10 is 5/10
Answer:
1
Step-by-step explanation:
[tex]\frac{5}{10}[/tex]= 0.5
[tex]\frac{1}{2}[/tex]= 0.5
therefore making them equivilant
Is Mikasa less than or equal to Levi
This is math I promise
Answers
Answer:
less than because levi is one of the most skilled
Answer:
She is less than Levi
Step-by-step explanation:
Levi has literally decades more experience of fighting titans than Mikasa. Also, as revealed in the latest chapters, both are part of the Ackerman family which was the product of titan experiments. Also, five seconds don't really help Mikasa. So, yeah, Levi wins, no doubt.
What is the equation of the line that passes through the point (−2,−6) and has a slope of -3/5
Answers
Answer:
y= -3/5 x -7.2
Step-by-step explanation:
-6 = 6/5 + b
b= - 7.2
one of sam's best customer spend 250.00 each month in sam's shop. She say that is roughly 5% of her monthly income. How much does she make each month.
Answers
Answer:
5,000
Step-by-step explanation:
x× 5 %=250
x=250×100÷5=5000
PLEASE HELP IM TIMED whats 1 divded by 1
Answers
Answer:
1
Step-by-step explanation:
1 divided by anything is that number. So with that information 1 divided by on would be 1.
Explain why the expressions 8x(6-4) and 8x6-4 do not have the same value even though they look very similar? HELP!! PLEASE EXPLAIN IT IN 2 complete sentences. (ITS ALGEBRA)
Answers
Answer:
Because 8x6 gives you the same figure.
Step-by-step explanation:
This expression 8x6-4 doesn’t has bracket so you need to do x and / first then you do + and -
8x6-4=48-4=44
33 divided by a number Q.
Answers
Answer:
33/Q?
Step-by-step explanation:
im confused on what the problem is
what is the sum of the sequence 4 + 9 + 14 + 19 + 504
Answers
Answer:
550
Step-by-step explanation:
using my brain
Answer:
550
Step-by-step explanation:
common sense.........
PLEASE HELP ASAP, MARKING BRAINLIEST! (Read the whole thing please)
Answers
Answer:
$288
Step-by-step explanation:
to find the area of one rectangular eave of the roof you have to multiply 24 by the hypotenuse of the 12 ft x 16 ft triangular side, so you can find that by using the Pythagorean Theorem
16² + 12² = c²
256 + 144 = c²
400 = c²
20 = c
Area of one eave = 24 x 20 = 480
Area of total roof = 480 x 2 = 960
set up a proportion to find cost ('x'):
30 = x
100 960
cross-multiply: 100x = 28800
x = $288
Draw 2 lines to cut each triangle into the given shapes. 1 pentagon and 2 triangles
Answers
Answer:
cut the two lines at the corner, don't let the lines touch
Step-by-step explanation:
Two lines are drawn at corner of a big triangle and lines should not touch each other
Pentagon & TriangleAny quadrilateral which has five sides is known as pentagonAny quadrilateral which has three sides is known as triangleWhat are the steps to draw?Steps to draw the Pentagon & Triangle are as follow:
First draw one big triangleAfter that from right corner of big triangle mark point on two sides of triangle and draw line passing through this pointsRepeat step 2 from left cornerSo two triangle and one pentagon is produced
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gives the value of the expression b x 4 for b = 21?
Answers
Answer:
5
Step-by-step explanation:
Answer:
its A
Step-by-step explanation: i passed the test
WILL GIVE BRAINLIEST FOR RIGHT ANSWER!!
Write the system of equations for this word problem:
Alex is on the job hunt. He has narrowed it down to two options. He can sell cars for $400 a week and would earn 25% commission per sale. Or, he could sell boats for $450 a week and earn 15% commission per sale.
Write two equations for this
plz
thanks
:)
Answers
Answer:
Sell cars
Step-by-step explanation:
if you do 400 x 25% you get $100
if you try doing 450 x 15% you only get $67.5
if i earn 5 dollars every 8 mins 20 sces how long until i get 2,700 will mark brainliest URGENT
Answers
Answer:
75 Hours
Step-by-step explanation:
First, you'd have to find out how many times 5 dollars can fit into 2700 dollars. You'd simply just divide 2700 by 5. You will get 540.
Next, multiply 8 minutes and 20 seconds by 540. We know that 20 seconds is a third of a minute, so we'll convert 8 minutes and 20 seconds to 8.33 (repeated) minutes.
8.33 (repeated) multiplied by 540 will give you 4500 minutes.
Next, just divide 4500 minutes by 60, and you'll get 75 hours.
Plz help me I am timed plz don’t guess
DeArah made 88, 90, and 92 on her math tests this grading
period. What is the mean of her math test scores?
OA) 89
OB) 90
OC) 91
OD) 92
Answers
Answer:
B. 90
Step-by-step explanation:
Add them all, divide by 3.
88 + 90 + 92 = ?
270 = 270
270/3 = 90
Answer: 90
Step-by-step explanation:
You just add up all the numbers then divide by how many numbers there are.
( 88 + 90 + 92 = 270 ) There are 3 numbers so take 270 / 3 = 90.
Which Expressions are equivalent to:
3(2/3p + 3 - 1/3p - 5)
Picture is provided
Answers
Answer:
the answers are p - 6, 3 (1/3p + 3 - 5), and 3 (1/3p - 2)
Answer:
3 (1/3p+3-5), p-6, 3(1/3p-2)
Step-by-step explanation:
I did the iready quiz and got it correct.
can i have help please
Answers
Answer:
A
Step-by-step explanation:
Evaluate f (x) = 3(2)^x for x = -1
Answers
Answer:
3/2 or 1.5
Step-by-step explanation:
3(2−1)
=3(
1
2
)
=
3
2
The value of 3(2)ˣ for x = -1 is 3/2
What is simplification?In mathematics, simply or simplification is reducing the expression/fraction/problem to a simpler form. It makes the problem easy with calculations and solving.
Given is a function, f(x) = 3(2)ˣ
When x = -1
f(-1) = 3(2)⁻¹
f(-1) = 3x2⁻¹
f(-1) = 3x1/2
f(-1) = 3/2
Hence, The value of 3(2)ˣ for x = -1 is 3/2
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sally collected 15 seashells, but 1/3 were broken. how many shells were broken?
Answers
Answer:
5 shells were broken.
Step-by-step explanation:
To find how many shells were broken, we must multiply the amount broken to the total to find the number of shells broken.
1/3 * 15=5
4(-3)(-2)
How do
I do this?
Answers
Answer:
4(-3)(-2) = 24
Step-by-step explanation:
first solve the numbers in parenthesis.
4(-3)(-2)
= 4(6)
the negative sign cancels out in the product, because both of the numbers you multiplied are negative, which makes the product positive.
now solve for 4(6).
4(6) = 24
Which of the following is NOT a level of measurement? nominal ratio qualitative ordinal
Answers
Answer:
Nominal.
Step-by-step explanation:
The option that is NOT a level of measurement is qualitative.
With qualitative, numbers are not assigned to the measurement.
A level of measurement classifies and relates values to variables. Four levels of measurement have been identified as nominal, ordinal, interval, and ratio.
Ordinal can be quantitative or qualitative, while interval and ratio are always quantitative, and nominal has non-quantitative values assigned as measurements.
Thus, qualitative is not a recognized level of measurement.
Learn more about levels of measurement at https://brainly.com/question/24148016 and https://brainly.com/question/4823744
4km : 370m in simplest form
Answers
Answer:
2km to 185 meters
Step-by-step explanation: