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Related Questions
A pyramid and prism have the same base area and height. The prism's base area is 8 square units and its height is 16 units. What is the volume of the pyramid? The volume of the pyramid is __________ cubic units. Enter the number that correctly fills in the blank in the previous sentence.
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8 units² (base area)
16 units (height)
Because the dimensions are the same...
Pyramid dimensions:
8 units² (base area)
16 units (height)
The volume for a pyramid = 1/3 ba * h
Substitute and solve.
1/3 8 * 16
= 1/3 (128)
= 42.66...
Therefore the volume is approximately 42.67cm³
The volume of the pyramid with a base area of 8 square units and a height of 16 units is 42.67 cubic units.
The volume of a pyramid is calculated as one-third of the base area times the height. The base area of the given pyramid is 8 square units and the height is 16 units. Using the formula for volume V = rac{1}{3}Ah, where A is the base area and h is the height, the volume of the pyramid can be found as follows:
V = rac{1}{3} imes 8 imes 16
V = rac{1}{3} imes 128
V = 42.67 cubic units (rounded to two decimal places).
Therefore, the volume of the pyramid is 42.67 cubic units.
What is the equation of the line passing through the points (2, –1) and (5, –10) in slope-intercept form?
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slope = (-10 - (-1) / (5 - 2) = -9/3 = -3
y = mx + b
slope(m) = -3
use either of ur points....(2,-1)...x = 2 and y = -1
now we sub and find b, the y int
-1 = -3(2) + b
-1 = -6 + b
-1 + 6 = b
5 = b
so ur equation is : y = -3x + 5 <==
The triangle above is changed so that the exterior angle shown measures 128 how does this affect angles b and c
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Answer:
the sum of the measures of angle B and angle C will also be 128 degrees meaning that the sum will decrease by 24 degrees.
Tony is making small bags of bird sees from a larger bag that weighs 11.16 pounds. If he puts the same amount of seed in each of 6 bags, how much will each bag weigh?
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11.16 / 6 = 1.86
So, each smaller bag of bird seeds will weigh 1.86.
write an integer for the situation below : 13 feet below the sea level
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So, -13 feet is the answer.
An empty rectangular tank, 40 cm long and 25 cm wide, contains 2 metal cubes of edge 10 cm. the tank is being filled with water flowing from a tap at a rate of 10 liters per minute. If it takes 3 minutes to fill up the tank, find the height of the tank.
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The height of the tank is 0.5 cm.
Explanation:To find the height of the tank, we can use the formula:
Volume of water = base area × height
The base area of the tank can be found by multiplying the length and width: 40 cm × 25 cm = 1000 cm².
The volume of water flowing from the tap is given as 10 liters per minute, which is equivalent to 10000 cm³ per minute or 166.667 cm³ per second. Since it takes 3 minutes to fill up the tank, the total volume of water will be 3 minutes × 166.667 cm³ per second = 500 cm³.
Now, we can plug these values into the formula to find the height:
500 cm³ = 1000 cm² × height
Dividing both sides by 1000 cm² gives:
height = 0.5 cm
Therefore, the height of the tank is 0.5 cm.
Consider the following pair of equations: −x − y = −5 y = x + 1 If the two equations are graphed, at what point do the lines representing the two equations intersect? (−2, 3) (3, −2) (2, 3) (3, 2)
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y = x + 1
-x -(x + 1) = -5
-x - x - 1 = -5
-2x = -5 + 1
-2x = -4
x = -4/-2
x = 2
y = x + 1
y = 2 + 1
y = 3
solution is : (2,3)
Write y less than 21
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"y less than..." means the y variable is less than something. "... 12" Which is 12.
In mathematics we use the < symbol to indicate "less than"
So, y < 12 is the answer.
Answer:
21-y
Step-by-step explanation:
In mathematics the signs used for more than is + and for less than is -.
The question is asking us to write y less than 21 in mathematical statement form.
y less than 21 means 21-y,
Hence the mathematical statement for y less than 21 is 21-y.
Which of the following coordinates of point C would make triangle ABC similar to triangle LMP ? Look at pic attached :) thank you .
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A corresponds to L (first letters of each sequence)
B corresponds to M (second letters of each sequence)
C corresponds to P (third letters of each sequence)
In a similar fashion, the segments also correspond to one another.
AB corresponds to LM (first two letters of each sequence)
AC corresponds to LP (first and last letters of each sequence)
BC corresponds to MP (last two letters of each sequence)
------------------------------------
AB corresponds to LM. AB is 4 units long. LM is 2 units long. So AB is twice as long as LM. This ratio (of 2:1) will be applied to every paired corresponding value.
Also, the right angle is at angle M for triangle LMP. The right angle will be at angle B for triangle ABC (since B corresponds to M). The answer will have an x coordinate of 7. So the answer is either choice B or choice C.
If we move 4 units down from point B, we land on (7,-10). That isn't listed as an answer choice. Let's try moving 4 units up from point B. We land on (7,-2). This is an answer choice
So the final answer is choice C) (7,-2)
A six-sided number cube labeled 1 through 6 is rolled 600 times. An odd number is rolled 272 times. Compare the experimental probability of rolling an odd number with the relative frequency of rolling an odd number and select one of the statements below that best describes the situation.
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= 272/600 = 0.4533.
2) Relative frequency = number rolls/Total number of rolls = 272/600
1) is the same as 2)
Answer:
Experimental probability and relative frequency are the same
Step-by-step explanation:
Which class has 32% girls?
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Which expression represents the value, in dollars, of a certain number of dimes, d, and nickels, n? 0.10d + 0.05n 0.05d + 0.10n 0.15d + n 0.15dn
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Answer:
0.10d+0.05n
Step-by-step explanation:
Simplify open parentheses x to the 5 eighths power close parentheses to the 2 thirds power.
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(x^5/8)^2/3
The concept to be used in order to answer this item is the product of the exponents. If,
(x^m)^n
The final answer would be,
x^mn
If we apply the same principle to the equation above,
(x^5/8)^(2/3)
x^(5/8)(2/3)
x^5/12
Thus, the most simplified form is equal to x^5/12.
Answer:
[tex]x^{\frac{5}{12}}[/tex]
Step-by-step explanation:
[tex](x^{\frac{5}{8}})^{\frac{2}{3}}[/tex]
To simplify it we multiply the exponents inside with exponent outside
[tex](a^m)^n = a^{mn}[/tex]
[tex]\frac{5}{8} *\frac{2}{3}[/tex]
Cancel out 8 and 2
[tex]\frac{5}{4} *\frac{1}{3}[/tex]
[tex]\frac{5}{12}[/tex]
tex](x^{\frac{5}{8}})^{\frac{2}{3}}=\frac{5}{12}[/tex]
Ralph sold brownies for $0.27 a piece in order to earn money to buy baseball cards. If the cards cost $0.54 per pack, and if Ralph had no money left over after buying them, what is the least number of brownies he must have sold?
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If the divisor is 40 what is the least three digit dividend that would give a reminder four
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Dividend = Divisor × Quotient + Remainder, where R<D
for example:
115 = 7*16+3, tells us that we can fit 7 into 115 at most 16 times,
Back to our problem, the Dividend is a 3 digit number, say abc, the divisor is 40 and the remainder is 4, so we have:
Dividend = Divisor × Quotient + Remainder
abc = 40 × Quotient + 4
we can try some values for the Quotient, but it almost immediately clear that the smallest Quotient that will produce the smallest dividend is 3:
40*2+4=80+4=84 (not 3 digit)
40 * 3 + 4=120+4=124 (the smallest 3 digit dividend)
Answer: 124
The sum of 2/9 and 2 5/9 in simplest form is
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Add the fractions first:
2/9 + 5/9 = 7/9
2 7/9
Answer:
2 7/9
Step-by-step explanation:
0, 7, 26, 63, _ , 215.
What is the missing number in the given sequence?
What is the pattern?
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1^3 - 1 = 0
2^3 - 1 = 7
3^3 - 1 = 26
4^3 - 1 = 63
5^3 - 1 = 124 <== ur missing number
6^3 - 1 = 215
Bernard counted 8 posts along the side of the road. If the posts were 20meters apart how far is the first post from the last
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The distance between posts is 20 meters
The distance between the 1st and the 8th post is 20×7 = 140 metres
99PTS (08.06)The data set shows the number of cars parked in the restaurant parking lot during the lunch hour each day for two weeks: 8 7 14 10 13 27 11 10 14 7 12 9 14 9 Which of the following statements is true based on the data set?
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{ y=x^2-2x-6
y=4x+10
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here is a solution
The area of a rectangle rug is (3x + 9) square units.Factor (3x + 39) to find possible dimension of the rug.?
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Would be the (3x+39) factored out
3(x+13)
The possible dimension of the rug will be 3 and (x + 3).
What is expansion?
Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.
In mathematics, every real-world issue may be transformed into an equation, sometimes in the form of a factor, which must then be expanded to get a solution.
If you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.
Area of rectangle = length × width
Given,
Area of rectangle rug = (3x + 9)
So,
length × width = (3x + 9)
length × width = 3(x + 3)
So out of 3 and (x + 3), one would be the length and one would be the width.
For more information about the expansion
brainly.com/question/14447197
#SPJ5
PLEASE HELP!
The graph below shows the height an elevator travels, y, in x seconds:
A graph is shown with x axis title as Time in seconds. The title on the y-axis is Height of Elevator Above Ground in feet. The values on the x-axis are from 0 to 5 in increments of 1 for each grid line. The values on the y-axis are from 0 to 125 in increments of 25 for each grid line. A line is shown connecting points on ordered pair 1, 25 and 2, 50 and 3, 75 and 4, 100. The title of the graph is Rate of Ascent.
What is the rate of change for the relationship represented in the graph?
50
25
fraction 1 over 25
fraction 1 over 50
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The graph is not given , but with the help of information provided by you in the question:
X : 0 1 2 3 4 5 →→ Time in Seconds
Y : 0 25 50 75 100 125 →→Height of Elevator Above Ground in feet
Rate of change can be found by using two point slope form of line.
The slope of line joining two points [tex](x_{1},y_{1}) and (x_{2},y_{2})[/tex] is given by = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Taking two points (1,25) and (2,50) and finding the slope of line, that is Rate of change:
Rate of change = [tex]\frac{50-25}{2-1}=25[/tex]
Option (B) 25 is correct answer.
What is a proportion?
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1 : 2
or
3 : 6
hope this helps
5 divided 1 squared plus 1
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Answer: 6
Step-by-step explanation: Use a calculated bro
HELPPP PLEASEEEEEE!?!?!
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a straight line is 180 degrees so we can find C by subtracting 140 from 180
180-140 = 40 degrees
all 3 inside angles need to equal 180 so now we have
180 = 40 + (2x) + (x+2)
180 = 40 +3x +2
180=42+3x
138=3x
x= 138/3 = 46
check : 2x= 2*46 = 92
x+2 = 46+2 = 48
92 +48 +40 = 180
so x = 46 degrees
so angle B = 2x46 = 92 degrees
DOES ANYONE KNOW THE ANSWER???
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help again pleaseeeeeeejshfhfuuffufuf
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Grade number and type of instrument
What are the factors for 31
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Final answer: 1, 31
So it will be 1 & 31
1x31=31
The diagonal of a square unit is x units. What is the Area of the square in terms of x
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d^2=s^2+s^2
d^2=2s^2 we are told that d=x so
x^2=2s^2
s^2=(x^2)/2
And since the area of a square is s^2, the area of this square is:
(x^2)/2
Or as it is shown in your answer choices...
(1/2)x^2 square units (the top answer :P)
The area of a square with a diagonal x is (1/2)x² unit²
SquareA square is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel. All the sides of a square have the same length and each angle measure 90 degrees.
let l represent the length of the side of the square and x be the length of the diagonal. Using Pythagoras theorem:
l² + l² = x²x² = 2l²l = x√(1/2)Area of square = l * l = x√(1/2) * x√(1/2) = x² * 1/2 = (1/2)x² unit²
The area of a square with a diagonal x is (1/2)x² unit²
Find out more on square at: https://brainly.com/question/8429946
Regroup hundreds as Tens:
8 hundreds 9 tens =
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89