Answers
For this case we have by definition that the volume of the pyramid shown is given by:
[tex]V = \frac {A_ {b} * h} {3}[/tex]
Where:
[tex]A_ {b}:[/tex] Is the area of the base of a square
h: It's the height
According to the data of the figure shown we have:
[tex]A_ {b} = 10 * 10 = 10 ^ 2 = 100 \ units ^ 2\\h = 81 \ units[/tex]
Substituting:
[tex]V = \frac {100 * 81} {3}\\V = \frac {8100} {3}\\V = 2700 \ units ^ 3[/tex]
Answer:
Option D
Answer:
The correct answer is option D. 2700 units²
Step-by-step explanation:
Formula:-
Volume of pyramid = (a²h)/3
Where a - side of base
h - height of pyramid
To find the volume of pyramid
Here base side = 10 units and h = 81 units
Volume = (a²h)/3
= (10² * 81)/3 = 8100/3 = 2700 units²
Therefore the correct answer is option D. 2700 units²
Related Questions
What is the surface area of the cone below?
Answers
For this case we have that by definition, the surface area of a cone is given by:
[tex]SA = \pi * r * S + \pi * r ^ 2[/tex]
Where:
SA: It is the surface area
A: It's the radio
S: It's slant height
Then, replacing the values of the figure in the formula we have:
[tex]SA = \pi * 6 * 15 + \pi * 6 ^ 2\\SA = 90 \pi + 36 \pi\\SA = 126 \pi \ units ^ 2[/tex]
ANswer:
Option A
Math Post Q3 What inequality describes the graph?
Answers
For this case it is observed that the border of the region is not dotted, then the inequality includes an equal.
Thus, we discard options C and D.
We substitute the point (0,0) and see if it is fulfilled:
[tex]y\geq\frac {3} {2} x-3\\0 \geq\frac {3} {2} (0) -3\\0 \geq0-3\\0 \geq-3[/tex]
It is fulfilled, so the correct option is A.
Answer:
Option A
Answer:
A. [tex]y\geq \frac{3}{2} x-3[/tex]
Step-by-step explanation:
We are given a graph and we are to determine which inequality is described by the graph.
Since the graph has a solid line that means that the inequality includes the points on the line and must contain an equal sign.
So we will substitute the point (0, 0) to find the correct inequality.
[tex]y\geq \frac{3}{2} x-3[/tex]
[tex]0\geq \frac{3}{2} (0)-3[/tex]
[tex]0\geq 3[/tex] - true
[tex]y\leq \frac{3}{2} x-3[/tex]
[tex]0\leq \frac{3}{2} (0)-3[/tex]
[tex]0\leq 3[/tex] - false
Therefore, the correct inequality is [tex]y\geq \frac{3}{2} x-3[/tex].
Jenna used the recipe shown below to make punch for a party orange juice 4 cups pineapple 4 cups red tropical 8 cups ginger ale 16 cups if jenna made half a recipe of punch how many quarts of fruit punch did she make
Answers
Answer:
4 quarts
Step-by-step explanation:
1 On a trip to Griffith Observatory, Dave rode his bicycle six more than twice as many miles in the afternoon as in the morning. If the entire trip was 57 miles long, then how far did he ride in the morning and in the afternoon?
Answers
Answer:
the answer is he rode 17 miles in the morning and 40 miles in the afternoon
Step-by-step explanation:
so in the afternoon, it says that 6 more than twice as many miles in the afternoon as in the morning. this means that if the morning is x then in the afternoon it will be 2x+6 but it says altogether it is 57 miles so the you have to add x too.
so the equation is 2x+6+x=57
then this should be easy to solve.
2x+6+x=57
3x+6=57
3x=51
x=17
so if the morning is 17 miles then the afternoon will be:
2(17)+6
this equals to 40.
I hope that this is helpful!
Please please help me out please
Answers
Answer:
CD = 9.2 cm
Step-by-step explanation:
The arc of any circle is calculated as
arc = circumference × fraction of circle
= 2πr × [tex]\frac{66.4}{360}[/tex]
= 2π × 7.9 × [tex]\frac{66.4}{360}[/tex]
= [tex]\frac{2(7.9)(66.4)\pi }{360}[/tex] ≈ 9.2
arc CD is approximately 9.2 cm
1) Which method is most efficient method to use to solve 2x^2+4x-3=0
2) Which method is most efficient method to use to solve x^2+5x-6=0
3) Which method is most efficient method to use to solve 2x^2+4x-7=0
A. Factoring
B. Isolating the x^2 term and finding the square root of both sides
C. Using the quadratic formula
D. All three methods would be
(The answer choices are the same for all the problems)
Answers
Answer:
1. C
2. A
3. C
Step-by-step explanation:
1. The equation is most easily solved through the quadratic formula since it’s a term is greater than 1.
2. The equation is most easily factored since it’s a term is 1.
3. The equation is most easily solved by the quadratic formula since it’s a term is greater than 1.
the sum of two numbers is 61 and the difference is 19. what are the numbers?
Larger number:
Smaller number:
Answers
Answer:
the solution is (40, 21)
Step-by-step explanation:
Let the two numbers be x and y.
Then x + y = the sum = 61, and
x - y = the difference = 19.
Solve the system of linear equations
x + y = 61
x - y = 19
Combining these two equations:
x + y = 61
x - y = 19
---------------
2x = 80, so x must be 40.
Substituting 40 for x in the first equation, we get 40 + y = 61.
Combining the constants, we get y = 21.
Then the solution is (40, 21).
The numbers whose sum is 61 and difference 19 are 40 and 21. This is obtained by using algebraic expression for the given condition.
Find the algebraic expression for the question:Given that sum of numbers is 61 and difference is 19.
Let the larger number be x and smaller number be y.
Then we can write that, x+y=61 (sum) and x-y=19 (difference)
Calculate the numbers:By solving the algebraic equations we can find the numbers.
From second equation we can write, x = 19+y Substitute this in first equation,(19+y) + y = 61
19+2y = 61
2y = 61 - 19 = 42
y=42/2=21 ⇒ y=21 is the smaller number
x = 19+y = 19+21 =40 ⇒ x=40 is the larger number
Hence the numbers whose sum is 61 and difference 19 are 40 and 21.
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What is the difference between an observational study and an experiment? Choose the correct answer below. A. In an experiment, a treatment is applied to an entire population and responses are observed. In an observational study, a researcher measures characteristics of interest of an entire population but does not change existing conditions. B. In an experiment, a researcher measures characteristics of interest of a part of a population but does not change existing conditions. In an observational study, a treatment is applied to part of a population and responses are observed. C. In an experiment, a researcher measures characteristics of interest of an entire population but does not change existing conditions. In an observational study, a treatment is applied to an entire population and responses are observed. D. In an experiment, a treatment is applied to part of a population and responses are observed. In an observational study, a researcher measures characteristics of interest of a part of a population but does not change existing conditions.
Answers
Answer: “A”
Step-by-step explanation: Your Answer Would Be “A”
Answer:
A
Step-by-step explanation:
THAT IS THE BEST ANWSER OPTION
Describe the transformations of the following function. y=tan(2x-π)
Answers
Answer:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The equation is:
y = tan(2x - π)
y = tan (2*(x-π/2))
We can compare it to its parent function
g(x) = tan(x)
The answer is
Option a.
Horizontal shrink by 1/2 and horizontal shift of π/2 to the right
August hosted two dinner parties for his friends. Twenty guests attended the first party, and thirty-three guests attended the second party. What is the percentage increase of the number of guests from the first party to the second party?
Answers
Answer:
50%
Step-by-step explanation:
Gabrielle tossed a die onto a black-and-red checkerboard. What is the probability that it will land with a value less than 3 and on a red square?
Answers
The probability that the die will land with a value less than 3 and on a red square, given an equal number of black and red squares, is 1/6.
Explanation:The subject of this question is probability, a branch of Mathematics. In the given scenario, Gabrielle is tossing a die onto a black-and-red checkerboard. There are two separate events here - the roll of the die and the colour of the square where the die lands.
Firstly, the probability that the die will land with a value less than 3 is 2/6, or 1/3, as there are two sides of a six-sided die that have values less than 3 (1 and 2).
Secondly, assuming the checkerboard has an equal number of red and black squares, the probability that the die will land on a red square is 1/2.
Since these are separate events, we can calculate the combined probability by multiplying the probabilities of the individual events: (1/3) * (1/2) = 1/6. So, the answer is 1/6.
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11cm long a ribbon is 24 cm long and a large paper clip is 5 cm long how much longer is the ribbon than string
Answers
Answer:
There's no string in your question so zero. If you find out how long the string is just subtract it from the ribbon
Step-by-step explanation:
A shoe store expected to to sell at least 95 pairs of shoes one weekend but only sold 77 pairs. What was the approximate percent error?
Answers
about 19 percent (~19%)
Which of the following relations is NOT a function?
A. {(2, 6), (- 4, 0), (2, 2), (3, 5)}
B. {(0, 0), (10, 4), (- 8, -5), (1, 1)}
C. {(12, 0), (- 4, 6), (2, 3), (6, 6)}
D. {(1, - 6), (9, 5), (7, 7), (5, 3)}
Answers
Answer:
It is A.
Step-by-step explanation:
In function A we see that there are 2 ordered pairs with value 2 in the first position with y values 6 and 2. So this is not a function.
A function is a relation in which each input pairs with exactly one output. In the given relations, option A is not a function because the input 2 pairs with both 6 and 2, contradicting the definition of a function.
Explanation:In mathematics, a function is a relation in which every input, also known as the domain, corresponds to exactly one output, called the range. Looking at the following relations, we determine if a relation is not a function by seeing if any input values are paired with more than one output.
Option A: {(2, 6), (- 4, 0), (2, 2), (3, 5)} is NOT a function because the input 2 corresponds to both 6 and 2, which violates the definition of a function.
Options B, C, and D each pair every input with exactly one output, thus they are all functions. In conclusion, the relation provided in option A is the only one that is not a function.
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A life scientist worksheet has the names of 36 animals of these 18 fed on seeds 15 feed on insects and 6 feed on both seed and insects a student randomly selects one animal for a study What is the probability that the chosen animal feeds on seeds or insects or both
Answers
Answer:
11/12
Step-by-step explanation:
18/36 + 15/36= 33/36 = 11/12
The probability that the chosen animal feeds on seeds or insects or both is:
[tex]\dfrac{3}{4}[/tex]
Step-by-step explanation:Let A denote the event that the animal feed on seeds.
B denote the event that the animal feed on insects
and A∩B denote the event that the animal feed on both seed and insects.
and A∪B denote the event that the animal feeds on seeds or insects or both.
Let P denote the probability of an event.
Now, based on the information from the question we have:
[tex]P(A)=\dfrac{18}{36}\\\\P(B)=\dfrac{15}{36}\\\\P(A\bigcap B)=\dfrac{6}{36}[/tex]
Now, we know that:
[tex]P(A\bigcup B)=P(A)+P(B)-P(A\bigcap B)[/tex]
Hence, on putting the values we have:
[tex]P(A\bigcup B)=\dfrac{18}{36}+\dfrac{15}{36}-\dfrac{6}{36}\\\\\\P(A\bigcup B)=\dfrac{18+15-6}{36}\\\\\\P(A\bigcup B)=\dfrac{27}{36}=\dfrac{3}{4}[/tex]
Use the change of variables s=x+3y, t=y to find the area of the ellipse x2+6xy+10y2≤1.
Answers
The change in variables s=x+3y, t=y to find the area of the ellipse x²+6xy+10y²≤1 yields; s² +t²≤ 1.
Substitution of variablesIt follows from the equations given that;
s = x +3y, x = s -3yt = yHence, it follows from substitution that;
(s-3t)² +6(s-3t)t +10t² ≤ 1s² -6st +9t² +6st-18t² +10t² ≤ 1s²+t² ≤ 1Read more on substitution;
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By applying a change of variables to the ellipse equation x2+6xy+10y2≤1, this simplifies to the standard ellipse equation from which the area, π*sqrt(10), can be determined using the standard formula for the area of an ellipse.
Explanation:To find the area of the ellipse defined by the equation x2+6xy+10y2≤1, we can begin by using the provided change of variables, s = x + 3y and t = y. This transformation simplifies the equation of the ellipse to: (s^2) / 10 + (t^2) ≤ 1.
Now the expression looks like the standard equation of an ellipse, where 'a' (the radius on the x-axis) is sqrt(10) and 'b' (the radius on the y-axis) is 1. The area 'A' of an ellipse is given by 'A=πab'. Substituting 'a' and 'b' into the formula gives us 'A = π*sqrt(10)*1 = π*sqrt(10)'
This indicates that the area of the ellipse with the change of variables s=x+3y, t=y for the equation x2+6xy+10y2≤1 is π*sqrt(10).
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9.6, –4.8, 2.4, –1.2, 0.6, ...
f(n + 1) = –0.5f(n)
f(n + 1) = 0.5f(n)
f(n + 1) = f(0.5n)
f(n + 1) = f(–0.5n)
Answers
Answer:
a
Step-by-step explanation:
There are 139 students and 10 adults on a field trip to the museum. The museum conducts tours in groups of 8. How many groups are needed for everyone to go on the tour.
Answers
Answer:
Step-by-step explanation:
139 +10 = 149
149 / 8 = 18.625
round to nearest hundredth = 18
20 POINTS PLEASE HELP FAST
Answers
The answer is -- 29,524
Answer:
29,524
Step-by-step explanation:
This is a geometric sequence; notice how each new term is 3 times the previous term. Thus, a(n) = 1 · 3^(n-1). The 10th term is a(10) = 3^(9) = 19683.
a(4) = 27 (given)
a(5) = 81 (calculated)
a(6) = 243
a(7) = 729
a(8) = 2107
a(9) = 6561
a(10) = 19683 (previously calculated)
So the sum of the first 10 terms is 29,524.
1 + 3 + 9 + 27 + 81 + ... + 6561 + 19683 =
Find the exact value of the following expression (without using a calculator): tan(Sin^-1 x/2)
Answers
Answer:
tan(Sin^-1 x/2)= [tex]\frac{x/2}{\sqrt{1-x^{2}/4 } }[/tex]
Step-by-step explanation:
Let sin^-1 x/2= θ
then sinθ= x/2
on the basis of unit circle, we have a triangle with hypotenuse of length 1, one side of length x/2 and opposite angle of θ.
tan(Sin^-1 x/2) = tanθ
tanθ= sinθ/cosθ
as per trigonometric identities cosθ= √(1-sin^2θ)
tanθ= sinθ/ √(1-sin^2θ)
substituting the value sinθ=x/2 in the above equation
tanθ= [tex]\frac{x/2}{\sqrt{1-x^{2}/4 } }[/tex]
now substituting the value sin^-1 x/2= θ in above equation
tan(sin^-1 x/2) = [tex]\frac{x/2}{\sqrt{1-x^{2}/4 } }[/tex]
!
Ten times the sum of four and three
Answers
the answer is
10 × (4+3) = 70
i need help asapppppppp
Answers
Answer:
a) h(x)
b) q(x)
c) w(x)
Step-by-step explanation:
Finding the answers for this is easy. Take two values for x that shows a different Y-value for each function on the graph and place them in the equations suggested to see which equation match their Y-value on the graph.
Let's take x = -1 and x = 1.
a) h(x) = | -x + 3 |
| - (-1) + 3| = | 4 | = 4
| - 1 + 3 | = | 2 | = 2
h(x) passes through (-1,4) and (1,2)
b) q(x) = | x | + 3
|-1| + 3 = 4
| 1 | + 3 = 4
q(x) passes through (-1,4) and (1,4)
c) w(x) = | x+ 3 |
| -1 + 3 | = | 2 | = 2
| 1 + 3 | = | 4 | = 4
w(x) passes through (-1,2) and (1,4)
PLEASE ANSWER
A farmer is trying to determine the number of plantain plants in a farm that covers 24 acres. He marks off three acre plots at randomly selected locations in the farm. The first plot contains 291 plants, the second plot contains 327 plants, and the third plot contains 286 plants.
Part A: Using this data, determine which of the following quantities represent an estimate of the number of plantain plants in the entire farm.
A 151
B 301
C 3,616
D 7,232
Part B: Suppose that a plantain plant bears a single bunch on a single stem. An average bunch will have 8 hands of 15 plantains. The farmer determines that around 85% of the total acreage is ready to harvest and sell. If the value at farm level is around $140.00 per thousand of fruits units for plantain, determine the total value at farm level for this farmer after harvesting and selling all the plantains in his farm.
The total value is ____________.
Answers
Answer:
C
Step-by-step explanation:
Answer:
option c is the answer
hope it helps
and ur welcm
What are the domain and range of the exponential function below?
[tex]F(x) = 5^x+6[/tex]
Answers
Answer:
B
Step-by-step explanation:
The domain is the set of x values for which the function is defined.
The range is the set of y values for which the function is defined.
Attached is the graph of the exponential function.
It is the basic graph of exponential function of y = 5^x which is shifted 6 units above (because of +6 at the end).
Looking at the graph, the domain is the set of all x values.
The range is anything above 6.
Correct answer is B.
Answer: b
Step-by-step explanation:
A P E X
Two hikers are walking along the Appalachian Trail. The first hiker is 2 miles ahead of the second hiker. Both hikers are traveling in the same direction at the same speed, 1 mile per hour. Let x represent the distance traveled by the first hiker after a certain time period.
Several students wrote equations for this situation. Which student is correct?
A.
Alex said, “The equation y = 2x + 1 represents the total distance traveled by both hikers.”
B.
Brenda said, “The equation y = 3x represents the total distance traveled by both hikers.”
C.
Chris said, “The equation y = x – 2 represents the distance traveled by the second hiker.”
D.
Drake said, “The equation y = x + 2 represents the distance traveled by the second hiker.”
Answers
Answer:
Chris is correct. (Choice letter C)
Step-by-step explanation:
We can eliminate choices A and B from the get-go because the problem stated that both hikers are traveling at 1mi/hr. This means that the slope of the equation would equate to 1, so just x.
That leaves us with C and D. The two equations both have a slope of 1, but C has a y-intercept of -2 and D has a y-intercept of 2, which represents the starting location of the second hiker. The first hiker is the one who is ahead by 2 miles, so it can't be D. This leaves us with choice C. Chris is correct.
Answer:
C. Chris said, “The equation y = x – 2 represents the distance traveled by the second hiker.”
Step-by-step explanation:
90 POINTS WILL GIVE BRAINLIEST for which value of theta is cot theta equal to cos theta
The answer is 2pi but how so?
Answers
Answer:
...so cos t = cot t can only happen when cos t is 0 or sin t is 1. (But sin t = 1 only happens when cos t = 0, so cos t = 0 is enough.)
arccos(0) is pi/2, plus or minus any multiple of pi.
Step-by-step explanation:
cotθ = cosθ
cosθ/sinθ = cosθ
sinθ = 1
θ = π/2
pi also = to 3.14 etc.
Answer:
Step-by-step explanation:
[tex]cot \theta = cos \theta\\ \frac {cos \theta}{sin \theta} = cos \theta[/tex]
An easy solution is if [tex]cos \theta = 0[/tex], or [tex]\theta = \frac \pi 2[/tex], plus or minus any number of half circles.
American cars maker produce 5650000 cars each year in Europe that Americans make 6 million 550 cars the mistake did Ben make how can he fix it
Answers
Answer:
Ben has mixed up the digit for millions and hundred thousands: he wrote 5 in the place for millions and 6 in the place for hundred thousands, but it should be the other way. I think that he should exchange those two digits in the faulty report.
What is the measure of ∠PQR ? Enter your answer in the box. ° A triangle with one angle measuring 80 degrees and one angle measuring 70 degrees.
Answers
Answer:
∠PQR=30°
Step-by-step explanation:
I assuming that the measure of angle PQR is the third internal angle of the triangle
Remember that
The sum of the internal angles of a triangle must be equal to 180 degrees
80°+70°+∠PQR=180°
150°+∠PQR=180°
∠PQR=180°-150°
∠PQR=30°
Answer:
The answer is 30 degrees
Step-by-step explanation:
(80+70) - 180 = 30
because all the angles should add up to 180 degrees so to double check your answer you do 30+70+80=180
Craig stops at a gas station to fill his tank. He must choose between full-service and self-service and between regular, mid grade and premium gasoline. How many possible combinations are there?
Answers
Answer:
6
Step-by-step explanation:
There are 2 service choices and 3 grade choices for each, a total of 2×3 = 6 choices.
find the angle between vector u=i+sqrt 7 j and vector v=-i-4j to the nearest degree.
a. 173 degrees
b. 145 degrees
c. 115 degrees
d. 97 degrees
Answers
hence angle between vectors is option a ,173 degree
What is Vector Equation?When an equation has both direction as well as magnitude it refers to vector equation.
How to calculate angle between two vectors?Formula used [tex]\alpha =cos^{-1} (\frac{u.v}{|u||v|})[/tex]
u.v=1*(-1)+[tex]\sqrt{7} *(-4)[/tex]
|u|=[tex]\sqrt{ 1^{2} +\sqrt{7} ^{2}}[/tex]=[tex]2\sqrt{2}[/tex]
|v|=[tex]\sqrt{ (-1^{2}) +(-4^{2})[/tex]=[tex]\sqrt{17}[/tex]
[tex]\alpha =cos^{-1} (\frac{-1-4\sqrt{7} }{|2\sqrt{2} ||\sqrt{17} |})[/tex]
[tex]\alpha =cos^{-1} (\frac{-1-10.58}{2.82*4.12})[/tex]
[tex]\alpha =cos^{-1} (\frac{-11.58}{11.61})[/tex]
[tex]\alpha =cos^{-1} (-0.99)[/tex]
hence option a 173 degree is correct
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