Answer:
The relationship between the volumes of pyramids and prisms is that when a prism and pyramid have the same base and height, the volume of the pyramid is 1/3 of the volume of the prism.
Hope this helps!! ;)
volume of the prism is three times the volume of the pyramid with the same dimensions.
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.
Volume of a triangular prism = area of base triangle × length of the prism
The volume of a triangular pyramid = (1/3) × Base Area × Height
The relationship between a triangular prism and a triangular pyramid with equal bases and heights is that the volume of the prism is three times the volume of the pyramid.
Therefore, volume of the prism is three times the volume of the pyramid with the same dimensions.
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help meeeeeee!!!!!!!!!
PLEASE HELP QUICK
Which expressions are equivalent to ? Check all that apply. 81 8-1 9-2 98 94 98 910 9-6.93 95.9-7
Answer:
Options (2), (4) and (6)
Step-by-step explanation:
Option (1)
[tex]8^{-1}=\frac{1}{8}[/tex]
Not equivalent to [tex]\frac{1}{81}[/tex].
False.
Option (2)
[tex]9^{-2}=\frac{1}{9^2}[/tex]
[tex]=\frac{1}{81}[/tex]
True.
Option (3)
[tex]\frac{9^{8}}{9^{4}}=9^{(8-4)}[/tex]
[tex]=9^{4}[/tex]
= 6561
False.
Option (4)
[tex]\frac{9^8}{9^{10}}=9^{8-10}[/tex]
[tex]=9^{-2}[/tex]
[tex]=\frac{1}{81}[/tex]
True.
Option (5)
[tex]9^{-6}9^{3}[/tex] = [tex]9^{-6+3}[/tex]
= [tex]9^{-3}[/tex]
= [tex]\frac{1}{9^3}[/tex]
= [tex]\frac{1}{729}[/tex]
False
Option (6)
[tex]9^{5}9^{-7}=9^{(5-7)}}[/tex]
[tex]=9^{-2}[/tex]
[tex]=\frac{1}{9^2}[/tex]
[tex]=\frac{1}{81}[/tex]
True.
Therefore, Options (2), (4) and (6) are the correct options.
Applying the negative exponent rule of power, the expressions that are equivalent to the given expression, 1/81, are: B, D, and F.
What is the Negative Exponent Rule of Power?The negative exponent rule states that: [tex]a^{-n} = \frac{1}{a^n}[/tex].
Thus, given the expression, 1/81, it can be rewritten or simplified as follows:
1/81 = [tex]81^{-1} = 9^{-2}[/tex] = [tex]\frac{9^8}{9^{10}}[/tex] = [tex]9^5 \times 9^{-7}[/tex]
The expressions that will be equivalent to 1/81 can be expressed, based on the negative exponent rule of power, as:
[tex]9^{-2}, \frac{9^8}{9^{10}} , 9^5 \times 9^{-7}[/tex] (option B, D, and F).
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Keith buys 6 pencils for 90p how much would 11 pencils cost
Answer:
keith buy 11 pencils at the cost of 165 paise
Step-by-step explanation:
6 pencils cost = 90 paise
so 1 pencil cost = 15 paise
The division property of equality could be used to solve which of the following equation
A. 5x=30
B. X/4=16
C. (X+2) (x-2)= 0
D. X+3=7
Please help me
Answer:
A
Step-by-step explanation:
5x = 30
divide both sides by 5:
x = 6
In an aquarium, there are 15 clownfish and 30 starfish. What is the ratio of starfish to clownfish?
Answer:
1:2
Step-by-step explanation:
1 clownfish for every 2 starfish.
245,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
Answer:
Ummm WHAT! IS THIS FREE POINTS?!
Step-by-step explanation:
What is 1 2/3 x 1 1/4 ????
Answer:
2 1/12 B)
Step-by-step explanation:
200% of 15 is what number
Answer:
30
Step-by-step explanation:
100% of 15 is 15
200% is 15 + another 100% (15)
15+15 = 30
There are 63 pairs of scissors in the classroom supply closet. The number of glue sticks in the supply closet is 72. David says that means the ratio of the number of pairs of scissors to the number of glue sticks is 7:9. Is David correct?
Answer:
Why yes he is
Step-by-step explanation:
David is the reincarnation of Albert Einstein and so has achieved the knowledge of all the great minds. Therefore he is correct
The difference between the high and low temperatures one day was 26°F. The low was 64°F. find
the high temperature.
A. 38
B. 2
C. 90
D. 1664
Answer:
90 degrees F
Step-by-step explanation:
if the distance from the temperatures is 26 degrees and the low point is 64, just add up 26 and 64 and you will get 90 degrees F.
you need the previous answer to tell how to do the answer. "1232". Now that that's over with, onto the question.
The baker’s recipe for a loaf of bread calls for 12 ounces of flour. If he uses all of his flour to make loaves of bread, how many full loaves can he bake in two weeks?
Answer:
Step-by-step explanation:
1232 oz flour × (1 loaf)/(12 oz flour) = 102 loaves remainder 8 oz flour
Body frame size is determined by a person's wrist circumference in relation to height. A researcher measures the wrist circumference and height of a random sample of individuals.What is the value of the test statistic to see if the correlation is statistically significant
Answer:
The answer is "6.212".
Step-by-step explanation:
A few of the information is missing throughout this question, therefore the solution could be defined as follows:
In this question, the value of its testing dataset to determine unless the connection is clinically meaningful from both the Means and standard deviations is 6.212 from its test statistics.
Which equation is a linear function
Answer:
the fourth one
Step-by-step explanation:
Answer: y= x/2 - 5
Step-by-step explanation: the first is not linear the second is not linear the third is not linear the forth one IS linear
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be
0
or
1
for each of its variables.
PLZ HELP ITS DUE IN 28 MINUTES
Answer:
I think y and z = 45
75% of what number is 120?
Question 1 options:
1.6
160
10,800
Answer:
160
Step-by-step explanation:
First, lets assign a varible x. Let x be the number where 75% of x is 120. Next, we can convert the words of the problem into an equation. Now we have, 75% * x = 120 = 0.75x = 120. By multiplying both sides by 100, we get, 75x = 12000. So, x = 160.
The measure of angle MPO is 72 degrees, find the measure of angle PMN
Answer:
Where is the picture?
Step-by-step explanation:
N/A
7. You have 73 coins made up of pennies
and nickels. The coins total $3.25.
How many coins are pennies? How
many are nickels?
Answer:
60 nickels and 25 pennies
Step-by-step explanation:
calculate the pay for the following day of a weekly time card given a wage of $16/hr
Answer:
24x16x7
Step-by-step explanation:
Answer:
$2,688 a week
Step-by-step explanation:
16 x 7 x 24 would be 2,688
help pls with question
Answer:
Step-by-step explanation:
It is a right triangle. The hypotenuse is 6+9=15.
Pythagorean Theorem: 9² + ?² = 15²
?² = 15² - 9² = 225 - 81 = 144
? = √144 = 12
divide the following
3554by10
4678 by 40
How many numbers between 1 and 2000, inclusive,
have both a square root and a cube root as integer?
A A
3
B
4
©
5
D
6
7
12334567891011121314151617181920
LOL
Answer:
1, 64, 729
Step-by-step explanation:
A 76.00 pound flask of mercury costs $162.00. The density of mercury is 13.534 g/cm3. Find the price of one cubic inch of mercury by calculating intermediate values. What is the price of one pound of mercury
Answer:
Price of one pound of mercury
[tex]x=\$ 2.06[/tex]
Price of one cubic inch of mercury
[tex]z=\$1.0[/tex]
Step-by-step explanation:
From the question we are told that
Mass of mercury [tex]M= 76pound[/tex]
Price of 76 pound [tex]P=\$162[/tex]
Density of mercury is [tex]\rho=13.534 g/cm3.[/tex]
Generally the cost of one pound of Mercury x will mathematically be given as
[tex]x=\frac{162}{76}[/tex]
[tex]x=\$ 2.13[/tex]
Generally the cost of one gram of Mercury G will mathematically be given as
[tex]1pound = 453.92g[/tex]
[tex]G=2.06/453.93\\G=\$4.6*10^-^3[/tex]
Generally the cost of one cubic centimetre of Mercury c will mathematically be given as
[tex]13.5= 1cm^3\ of\ Mercury[/tex]
[tex]c=\$6.33*10^-^2[/tex]
Generally the cost of one cubic inch of Mercury z will mathematically be given as
[tex]z=0.0614*16.4[/tex]
[tex]z=\$1.0[/tex]
The value of the ratio y/x of two proportional quantities x and y is called..
either constant of proportionality, ratio, unit rate, proportion, rate, or proportional relationship
Answer:
constant of proportionality
Step-by-step explanation:
Assuming that we have two proportional quantities; one is x and one is y.
If we know whether the relationship between them is direct or inverse proportion, then the ratio of the two quantities y/x gives us a constant generally known as the constant of proportionality.
Cicero and Themistocles run for the same political office. Cicero received www votes in the election, and Themistocles received vvv votes.
Which of the following expressions always represents how many more votes the winner received than the loser?
A. w - v
B.∣w−v∣
C.None of above
Answer:
[w-v] b is answer
Step-by-step explanation:
How many more votes the winner received than the loser can be thought of as the distance between the two numbers of votes on the number line.
Hint #22 / 5
The distance between two numbers is equal to the absolute value of their difference.
For example, | a - b|∣a−b∣vertical bar, a, minus, b, vertical bar is the distance between aaa and bbb.
Hint #33 / 5
We want to find the distance between \blue{w}wstart color #6495ed, w, end color #6495ed and \pink{v}vstart color #ff00af, v, end color #ff00af.
Hint #44 / 5
The distance between \blue{w}wstart color #6495ed, w, end color #6495ed and \pink{v}vstart color #ff00af, v, end color #ff00af is |\blue{w} - \pink{v}|∣w−v∣vertical bar, start color #6495ed, w, end color #6495ed, minus, start color #ff00af, v, end color #ff00af, vertical bar or |\pink{v}-\blue{w}|∣v−w∣vertical bar, start color #ff00af, v, end color #ff00af, minus, start color #6495ed, w, end color #6495ed, vertical bar.
Hint #55 / 5
\left\lvert \blue w- \pink v\right\rvert∣w−v∣open vertical bar, start color #6495ed, w, end color #6495ed, minus, start color #ff00af, v, end color #ff00af, close vertical bar always represents how many more votes the winner received than the loser.
The expressions that always represents how many more votes the winner received than the loser will be Choice b .∣w−v∣
Cicero and Themistocles run for the same political office. Cicero received www votes in the election and Themistocles received vvv votes.
How many more votes the winner received than the loser?This can be thought of as the distance between the two numbers of votes on the number line.
Here, The distance between two numbers is equal to the absolute value of their difference.
For example; | a - b| vertical bar, a, minus, b, vertical bar is the distance between aaa and bbb.
Hence, the expressions that always represents how many more votes the winner received than the loser will be Choice b .∣w−v∣
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Combine the like terms to create an equivalent expression. \large{7k-k+19}7k−k+19
Answer:
The simplified expression is 6k+19 .
Step-by-step explanation:
What is the total cost with sales tax price $17.95 tax 6%
Answer:
$19.03
Step-by-step explanation:
Okay, this is a standard percentage problem, so learning how to do this is necessary. First, we have to find what 6% of $17.95 is, since of is our keyword and that means to multiply, and percentages turn into decimals:
17.95 x 0.06 = 1.08
So we have our tax, then we have to add that to our original price to get the whole thing:
17.95 + 1.08 = 19.03
So the total sale price is $19.03
11. Which of the following points is on the
line 3x - 5y = 1
A. (1, 2)
B. (2,1)
C. (3/5,1)
D. (2,3)
Answer:
B. (2,1)
Step-by-step explanation:
Substitute the first value from the parentheses for x, and the second value for y in the equation.
Calculate.
If the answer is true, the point is a solution on the line.
3(2) -5(1) = 1
6 –5 = 1
1 = 1. True. point B is a solution on the line.
D* for example:
3(2) -5(3) = 1
6 - 15 = 1
–9 = 1 False. This is not a solution on the line.
You get the idea. The others are also false.
what is the tenths place in the number 520.34
I mean break it down 500 is well, hundreds 20 is tens and 0 is ones then you have .3 in tenths and .04 in hundredths, not that complicated.
Select the correct symbol.
0.88 ? 0.178
A.
Answer:
<
Step-by-step explanation:
0.88 = 88%
0.178 = 17.8%
Therefore, 0.178 < 0.88
please help!
the length of a rectangle is represented by 5x - 7 and its width by 3x + 2. find its dimensions of the perimeter is 70 inches
Answer:
l = 18
w = 17
Step-by-step explanation:
2(5x-7) + 2(3x+2) = 70
x = 5
5(5)-7= 18
3(5) + 2 = 17
Answer:
Step-by-step explanation:
we have a rectangle, and the perimeter P=70
P=2L+2W
P=2(5x-7)+2(3x+2)=10x-14+6x+4=16x-10
16x-10=70
16x=70+10=80
16x=80
x=5
L=25-7=18
w=15+2=17