The area of the base of a pyramid with volume 27 cubic cm and height 6 cm is 13.5 square cm. If the base is a square, the length of each side of the base is approximately 3.67 cm.
Explanation:The volume of a pyramid can be given by the formula V = (1/3) * Area of the base * Height. In your question, you have been provided that the volume V is 27 cubic cm and the height h is 6 cm. Then Area of the base would be (3 * V) / h = (3 * 27 cubic cm) / 6 cm = 13.5 square cm. Since the base of a pyramid can be of various shapes, we have only calculated the area here. Now I assume that the base is a square for simplicity. If the area A of a square is given by the formula A = side^2, we can find the side length of the base by taking the square root of the area = sqrt(A) = sqrt(13.5 square cm) = 3.67 cm approximately.
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Find the distance between the given points. A(5, 3) and B(7, -4) Distance =
For A(5, 3) and B(7, -4), the distance is is mathematically given as
What is the distance between the given points?Generally, the equation for distance is mathematically given as
[tex]D=\sqrt{(x')^2+(y')^2)}[/tex]
Therefore
[tex]D=\sqrt((7-5)^2+(-4-3)^2)[/tex]
[tex]D=\sqrt{2^2+(-7)^2) }[/tex]
[tex]D=\sqrt(53)[/tex]
D=7.28 units
In conclusion, the distance is
D=7.28 units
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if the square of a number decreased by the number is 12 then what is the number
How many subsets of three elements each exist in a set of six elements?
What is the solution to x^2-8x+18=0 when written in the form a+or-bi?
You have a coordinate grid that is 96 x 96. assuming that you encode the x and y coordinate as separate numbers, what is the minimum number of bits that you will need to encode a coordinate in that space?
To encode a separate x and y coordinate on a 96 x 96 grid, you would need a minimum of 7 bits to represent each coordinate. This is because the nearest power of 2 above 96 is 128, which is 2^7.
Explanation:The subject of this question deals with using binary numbers, or bits, to store data in two-dimensional space, such as with a coordinate grid or a digital image. In this specific case, a coordinate grid with a size of 96 by 96. When encoding the x and y coordinate as separate numbers, we are trying to represent numbers from 0 to 96, so we have 97 different values to represent.
To calculate how many bits you need to store an integer, the question becomes: how many powers of 2 (bits) does it take to store that many different values? The closest power of 2 greater than 96 is 128, which is 2 to the seventh power (2^7). Therefore, you would need a minimum of 7 bits to store a coordinate in that space.
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Last year, 1300 procedures were performed on 3900 patient visits. 33% of your patient visits involved a procedure. If you are able to increase that percentage to 45%, what is the number of procedures you will do this year?
What are the intercepts of 5x = 2y +4??
Really need help with #57!
what is the solution of -3p+4<22?
find the measure of an angle between 0 and 360 coterminal with an angle of -271 in standard position. a. 181 b. 271 c. 89 d. 91
Answer:
C) 89 degrees
Step-by-step explanation:
Given:
The given angle is -271. which is standard position
We have to subtract 271 from 360 to find the required angle.
= 360 -271
= 89 degrees.
The answer is C) 89 degrees
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One day a store sold 21 sweatshirts. white ones cost $9.95 and yellow ones cost $ 11.50. in all, $235.30 worth of sweatshirts were sold. how many of each color were sold?
Is the following relation a function?
Circle centered at the origin with radius 1
Yes
No
No, if you do the vertical line test( draw a vertical line on each graph line that hits the circle) if the lline touches more than one point AT ANY TIME it is not a function. So in this case it is not a function
Answer:
Nooooooooooooo
If EG=50,and point F is 2/5 of the way between E and G
The measure of the segment EF = 20 and the measure of the FG is 30.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
Given that the segment EG is 50 and the ratio of EF to EG is 2 to 5. The length of the segment EF and FG will be calculated as,
EF / EG = 2 /5
EF = ( 2 x EG ) / 5
EF = ( 2 x 50 ) / 5
EF = 2 x 10
EF = 20
The length of the segment FG will be calculated as,
EF / FG = 2 / 3
FG = ( 3 x EF ) / 2
FG = ( 3 x 20 ) / 2
Fg = 3 x 10
FG = 30
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Which equation correctly applies the distributive property? 2.4⋅(−3.4)⋅(−1.25)=−3.4⋅2.4⋅(−1.25) −2.5⋅(4⋅3.67)=(−2.5⋅4)⋅3.67 (42⋅3.5)+(42⋅1.3)+(42⋅5.2)=42+(3.5+1.3+5.2) −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08)
Answer:
The correct equation that applies the distributive property is:
[tex]\[ -2.5 \cdot (4 \cdot 3.67) = (-2.5 \cdot 4) \cdot 3.67 \][/tex]
Explanation:
The distributive property states that for any real numbers [tex]\( a \), \( b \), and \( c \):[/tex]
[tex]\[ a \cdot (b + c) = a \cdot b + a \cdot c \][/tex]
Let's see which equation correctly applies the distributive property:
1. [tex]\( 2.4 \cdot (-3.4) \cdot (-1.25) = (-3.4) \cdot 2.4 \cdot (-1.25) \)[/tex]
This equation doesn't correctly apply the distributive property. It just switches the order of multiplication, which doesn't demonstrate the distributive property.
2. [tex]\( -2.5 \cdot (4 \cdot 3.67) = (-2.5 \cdot 4) \cdot 3.67 \)[/tex]
This equation correctly applies the distributive property. It breaks down the multiplication of [tex]\( -2.5 \) and \( (4 \cdot 3.67) \)[/tex] into two separate multiplications.
3. [tex]\( (42 \cdot 3.5) + (42 \cdot 1.3) + (42 \cdot 5.2) = 42 + (3.5 + 1.3 + 5.2) \)[/tex]
This equation doesn't apply the distributive property. It simply adds the products on the left side and compares it to the sum of the terms on the right side, which doesn't demonstrate the distributive property.
4. [tex]\( -3 \cdot (6.48) = (-3 \cdot 6) + (-3 \cdot 0.4) + (-3 \cdot 0.08) \)[/tex]
This equation correctly applies the distributive property. It breaks down the multiplication of \( -3 \) and \( 6.48 \) into three separate multiplications.
So, the correct equation that applies the distributive property is:
[tex]\[ -2.5 \cdot (4 \cdot 3.67) = (-2.5 \cdot 4) \cdot 3.67 \][/tex]
How to find the angle of a non right triangle with its sides?
please help whoever answers all questions correct will get brainlist
1. 6137/9 = 681.88 = 682 weeks
2. 124 +150 +161 = 435/3 = 145 average
3. 2*5.00 = $10.00 + 6.25 = $16.25
4. 28*2 = 56, 26*2 =52, 56+52 = 108 feet of fence
5. 7 *2 = 14 hours
Thad and his four family members are going to the fair. admission to the fair costs $8. books of ride tickets are $15. thad has $200. how much money will he have for food and souvenirs?
John has 305 and he spending 3 each day which algebraic expression describes this situation where d represents the number of days
Evaluate the expression 8√8.41 +1.8
The value of the expression is 25
What is an expression?An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.
Given is an expression, 8√8.41 +1.8
8√8.41 +1.8
= 8×2.9 + 1.8
= 23.2 + 1.8
= 25
Hence, the value of the expression is 25
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The approximate value of the expression [tex]\( 8\sqrt{8.41} + 1.8 \)[/tex] is 25.016.
To evaluate the expression [tex]\( 8\sqrt{8.41} + 1.8 \)[/tex], follow these steps:
1. First, approximate the square root of 8.41. The square root of 8.41 is approximately 2.902, because [tex]\( 2.902^2 \approx 8.41 \)[/tex].
2. Now, multiply this approximate square root by 8:
[tex]\[ 8 \times 2.902 \approx 23.216 \][/tex]
3. Finally, add 1.8 to this result:
[tex]\[ 23.216 + 1.8 \approx 25.016 \][/tex]
Therefore, the approximate value of the expression [tex]\( 8\sqrt{8.41} + 1.8 \)[/tex] is 25.016.
The answer is: 25.016.
There are 250 students taking either band or chorus. if there are 180 students taking band and 60 students in both band and chorus, how many students are only in chorus? 10 60 70 120
Just wanna check my answers...find (f+g)(x) if f(x)=3x-7 and g(x)=x^2+3x-4
A total of 518 tickets were sold for the school play. they were either adult tickets or student tickets. there were 68 more student tickets sold than adult tickets. how many adult tickets were sold?
By setting up two equations based on the total number of tickets and the difference in the number of student and adult tickets, we find that 225 adult tickets were sold for the school play.
To determine the number of adult tickets sold, we can set up two equations based on the information provided. Let A represent the number of adult tickets and S represent the number of student tickets.
The first equation comes from the total number of tickets sold: A + S = 518.
The second equation comes from the additional information about the number of student tickets being greater than adult tickets: S = A + 68.
We can substitute the second equation into the first to solve for A:
A + (A + 68) = 5182A + 68 = 5182A = 518 - 682A = 450A = 450 / 2A = 225Therefore, 225 adult tickets were sold for the school play.
In the circle shown below T is the center of the circle, and segments PN and SQ are diameters, and segment PR is tangent to the circle. The measure of angle SQN is 66 degrees
33 degrees
42 degrees
66 degrees
48 degrees
A line has a rise of 6 and a slope of 1/20. Find the run of the line. Type a numerical answer in the space provided. If necessary, use the / key to represent a fraction bar.
Answer:
120 is the run of the line
Step-by-step explanation:
Hello, i think I can help you with this
By definition , the slope of a line is given by:
slope(m)=Δy/Δx
where m is the slope, Δy is the rise, and Δx is the run
Step 1
isolate the run (Δx)
m=Δy/Δx
m=Δy/Δx
m*Δx=Δy
Δx=Δy/m
step 2
pute the values into the formula
Let
Δy=6
m=1/20
Δx=Δy/m
Δx=6÷(1/20)
Δx=120
the run of the line is 120
Do not hesitate to ask me any questions,Have a fantastic day.
4 + (27 - 12 ∙ 2) ÷ 2.
Find the next two numbers in the pattern.
−12,60,−300,1500,
−, , . . .
A company produces two products, A and B. At least 30 units of product A and at least 10 units of product B must be produced. The maximum number of units that can be produced per day is 80. Product A yields a profit of $15 and product B yields a profit of $8. Let a = the number of units of product A and b = the number of units of product B. What objective function can be used to maximize the profit?
An appliance company uses the function f(h) = 40h + 120 to calculate the total repair bill, f(h), for h number of hours worked. Find h if f(h) = $200.
8,120 hours
8,000 hours
5 hours
2 hours
How can I factor 5r^2+23r+26
Answer:the factors are r= -2 or r= -2.6
Step-by-step explanation:
5r^2+23r+26=0
The equation cannot factorized
So the general formula would be used
r = [-b +-√(b^2 -4ac)]/2a
a = 5
b =23
c = 26
r =[ -23+-√(23^2-4×5×26)]/2×5
= [-23+-√529-520)]/10
=(-23+-√9)/10
=(-23+-3)/10
r = (-23+3)/10 or r= (-23-3)/10
r= -20/10 or r= -26/10
r= -2 or r= -2.6