Can anyone help me find the volume of this pyramid? Asappp
The volume of the pyramid is 2520 cubic cm if the length is 24 cm, width is 18 cm, and height is 35 cm of the pyramid.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
As we know the volume of a pyramid is given by:
[tex]\rm Volume = \dfrac{1}{3} \times B\times H[/tex]
B is the base area of the pyramid.
We have L = 24 cm, W = 18 cm, and H = 35 cm
B = (24×18)/2 = 216 square cm
[tex]\rm Volume = \dfrac{1}{3} \times 216\times 35[/tex]
Volume = 2520 cubic cm
Thus, the volume of the pyramid is 2520 cubic cm if the length is 24 cm, width is 18 cm, and height is 35 cm of the pyramid.
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Factor Completely: 54m^5+18m^4+9m^3
Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle
we know that
In a [tex]30-60-90[/tex] triangle
the ratio between the lengths of the two legs is equal to the tangent
so
[tex]tan(30\°)= \frac{1}{\sqrt{3}}= \frac{\sqrt{3}}{3}[/tex]
[tex]tan(60\°)= \sqrt{3}[/tex]
therefore
the answer is
Option B
[tex]\frac{1}{\sqrt{3}}[/tex] -------> could be the ratio
because is the value of the [tex]tan(30\°)[/tex]
Option C
[tex]\frac{\sqrt{3}}{3}[/tex] ------> could be the ratio
because is the value of the [tex]tan(30\°)[/tex]
Option E
[tex]\frac{3}{3\sqrt{3}}=\frac{1}{\sqrt{3}}[/tex] -------> could be the ratio
because is the value of the [tex]tan(30\°)[/tex]
What is the measure of angle PSQ?
A sofa is on sale for 29% off. the sale price is $355 . what is the regular price?
1. The midpoint of Line Segment AB is (2, -9). The coordinates of one endpoint are A (4, 10). Find the coordinates of endpoint B.
The domain of both f(x) = x - 6 and g(x) = x + 6 is all real numbers. What is the domain of h(x) = f(x)/g(x)?
Final answer:
The domain of the function h(x) = f(x)/g(x) is all real numbers except x = -6.
Explanation:
The domain of a function represents the set of all possible input values (x) for which the function is defined. In this case, the domain of f(x) = x - 6 is all real numbers, and the domain of g(x) = x + 6 is also all real numbers. When finding the domain of the function h(x) = f(x)/g(x), we need to consider any values of x that would result in division by zero.
Since g(x) = x + 6, the function g(x) would be equal to zero when x = -6. Therefore, the domain of h(x) would exclude x = -6, as it would result in division by zero. Other than that, the domain of h(x) would be all real numbers.
So, the domain of h(x) = f(x)/g(x) is all real numbers except x = -6.
Johnetta simplified seven over nine ÷ three over eight; her work is shown below. Identify where she made her error. (5 points) Original division problem: seven over nine ÷ three over eight Step 1: seven over nine multiplied by three over eight Step 2: seven times three over nine times eight Step 3: twenty-one over seventy-two Step 4: seven over twenty-four
Answer:
STEP 1
Step-by-step explanation:
A rectangular garden has a perimeter of 172 feet. The length of the garden is 24 feet more than the width. What are the dimensions of the garden? (Recall the formula P = 2L + 2W.)
perimeter = 2L +2W, divide total perimeter by 2 for total length of 1 side and 1 width
172/2 = 86 ( total for 1 side and 1 width)
86-24 = 62 (since length is 24 ft longer subtract 24 then divide by 2 for width)
62/2 = 31
width = 31 feet
length = 31 +24 = 55 feet
check: 31*2 = 62, 55*2 = 110, 110+62 = 172
Sound travels through the air different materials at different speeds. The graph shows that one second, sound travels 5971 meters through a stone. However, it travels only 346 air in one second. Air, 20 seconds.
Sound travels at different speeds depending on the medium, moving faster in more rigid and denser mediums, like stone, than in compressible and less dense mediums, like air. At sea level and room temperature, sound waves move at approximately 343 meters per second. Light travels much faster than sound, thereby reaching observers noticeably sooner than sound over larger distances.
Explanation:The speed at which sound travels depends on the characteristics of the medium through which the sound is moving, specifically its rigidity and density. Sound waves move through a medium such as stone faster as it is more rigid (less compressible) and denser than a medium like air. This is why in your graph, sound travels 5971 meters in stone in one second, but only 346 meters in air in the same time period.
Sound waves are mechanical, pressure waves. In a vacuum where there are no molecules to oscillate, there are no sound waves. Variations in altitude, temperature, and the medium of transmission influence the speed of sound waves. For instance, at sea level and a temperature of 20° C, sound waves move in the air at approximately 343 meters per second.
Sound and light are both waves and travel at finite speeds. However, light travels significantly faster than sound, hence you see light from a fireworks display before hearing the sound. The speed difference between light and sound waves becomes noticeable over distances.
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A theater manager is planning an upcoming concert. Regular tickets will cost $12 and student tickets will cost $8. The theater can seat at most 200 people. The manager wants to collect at least $1000 from ticket sales. Let x represent the number of regular tickets sold. Let y represent the number of student tickets sold. Which inequalities are among the constraints for this situation? Select each correct answer. 1. x+y≥200 2. 12x+8y≤1000 3. 12x+8y≥1000 4. x+y≥1000 5.x+y≤200 6.12x+8y≤200
The answers are 12x+8y≥1000, 12x+8y≤1000, x+y≤200, and x+y≥200,
The explanation behind the first equation is 12x signifies the regular tickets, being at $12 each. And 8y signifies the student tickets being $8 each. The symbol is "≥", because the manager wants $1000 or more from the ticket sale. While the second equation, just the same with the first but the symbols differ since the sale could be lesser than 1000.
The explanation behind the third equation is 200 is the number of seats at most. In the fourth equation, if many people came, they would lack seats so that’s why the greater sign is used.
A building is 443m and dropped a penny, how long will it take to reach the ground
A relation is?
a.)the output (y) values of the relation
b.)the input (x) values of the relation
c.)a set of points that pair input values with output values
d.)x and y values written in the form (x, y)
Answer:
C.) a set of points that pair input values with output values
Step-by-step explanation:
When the relation between two variables are considered, this implies that there is a constant relationship between them. Thus, one value can be match into the other at a constant factor. This variables (input and output values) can now be seggregated as dependent or independent variables. Dependent variable requires the other variable (independent) for it to change, while the independent can vary on its own.
Which of these could be the graph of F(x) = ln x + 2?
Answer:
The shape of that graph is a concave and strictly increasing curve, as shown in the attached graph.
Step-by-step explanation:
The natural logarithm, ln (x), is the inverse of the exponential function and defined in x only for positive real numbers, in addition, it is an irrational number.
From the analytical point of view, it can be defined that for any positive real number x> 0 as the area under the curve y = 1 / t between 1 and x. The natural logarithm is a function with domain of definition of positive real numbers.
Some of the properties of the natural logarithm are: it is a bijective, concave, strictly growing and continuous function
experts/ace helpppp plzzz
point slope form is y=mx+ b
m is slope which is given as 1/2
replace x & y into the equation to solve for b
b = 6
so equation is y =1/2x+6
What is 11.42424242... in a rational expression in the form of a over b?
when ava bought her car, it was worth 19,340. it was expected to decrease at a rate of 12.5% each year. what is the best prediction for value of avas car 10 after she bought it
A.8173
B.6840
C.5088
D.2418
19340 * (1-0.125)^10 =
19340 * 0.875^10 =
$5087.88 round to 5088
State the domain and range for the function f(x) = 2x2 – 7. Show all steps, please.
Answer:
domain is (-∞,∞) and the range is [-7,∞)
Step-by-step explanation:
the guy who answered the question was wrong and i had to point it out
The XYZ company is seeing it's worth declining at a rate of 3.2% per year. If the current worth is 2,300,000, what will the value be in 5 years?
A.) about $1,954,810
B.) about$2,692,318
C.) about $1,932,000
D.) about $1,951,836
What are the solutions of the quadratic equation 4x^2 + 34x?
Which type of function is the result of multiplying a quadratic function and a linear function?
a linear function
a quadratic function
a constant function
a cubic function
Answer:
option D a cubic function
Step-by-step explanation:
answer will be option D a cubic function
when we multiply a quadratic function with a linear function the solution comes out to be a cubic function.
Example
assuming a linear function be (x+3)
assuming a quadratic function be ( x² + x+ 3 )
multiplying both the equation
( x² + x+ 3 ) × (x+3)
x². x + 3 x² + x.x + 3 x + 3 x + 9
x³ + 4 x² + 6 x + 9
hence the answer will be cubic.
In parallelogram MNOP , PK=5x and KN=x2−14 .
What is PN ?
7
36
70
100
What is the solution to the inequality: -3x-9>10x+5
The sum of three times a number and seven is greater than four times the number
In the diagram below, which distance represents the distance from point J to KL
Answer:
Option B JM is the right answer.
Step-by-step explanation:
The distance that represents the distance from point J to KL is JM.
The distance between any given point and a line is the shortest distance between a fixed point and any point on the line.
This implies that it is the length of the perpendicular line segment on the line and passes through the point.
Here, in the figure, JM is perpendicular to the line KL drawn from the point J.
So, the answer is JM.
I need an algebra equation where the answer is 50
The sales tax rate in a city is 5.316%. how much sales taxes is changed on a camp stove that sells for $128.95?
Write an expression that evaluates to true if and only if the value of the boolean variable workedovertime is true. submit
Rearrange the formula c2 = a2 + b2 for b.
Answer:
[tex]b = \sqrt{csquare - a square[/tex]
Step-by-step explanation:
Determine the intervals on which the function is increasing, decreasing, and constant.
Select one:
a. Increasing x < 0; Decreasing x > 0
b. Increasing x > 0; Decreasing x < 0
c. Increasing x < 3; Decreasing x > 3
d. Increasing x > 3; Decreasing x < 3
Answer:
b. Increasing x > 0; Decreasing x < 0
Step-by-step explanation:
We have been given graph of a function. We are asked to find the intervals on which our function is increasing and decreasing.
We know that when graph of function is going upwards from left to right then the graph is increasing.
When graph of function is going downwards from left to right then the graph is decreasing.
Upon looking at our given graph, we can see that for x values less than 0, the graph is going downwards from left to right, therefore, our function is decreasing on interval [tex]x<0[/tex].
We can see from our given graph that for x values greater than 0, the graph is going upwards from left to right, therefore, our function is increasing on interval [tex]x>0[/tex].