The volume of a pyramid with a square base is 17.6 cubic centimeter.
Given the following data;
Perimeter of base = 9.9 cmHeight of pyramid = 8.6 cmTo find the volume of a pyramid with a square base;
Mathematically, the volume of a pyramid with a square base is given by the formula;
[tex]V = A(\frac{h}{3})[/tex]
Where;
V is the volume of a pyramid with a square baseA is the area of the square base.h is the height of the pyramid.First of all, we would determine the length of sides of the square base from its perimeter;
[tex]Perimeter \ of \ square = 4s\\\\9.9 = 4s\\\\s = \frac{9.9}{4}[/tex]
s = 2.475 cm
Next, we would determine the area of the square;
[tex]Area \ of \ a\ square = s^{2} \\\\Area \ of \ a\ square = 2.475^{2}[/tex]
Area of a square = 6.126 cm
Now, we would use the above value to find the volume of a pyramid with a square base.
Substituting the values into the formula, we have;
[tex]V = 6.126*(\frac{8.6}{3})\\\\V = 6.126*2.867[/tex]
Volume, V = 17.6 cubic centimeter
Therefore, the volume of a pyramid with a square base is 17.6 cubic centimeter
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In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the sum of the digits is 11, find the number. Write and equation, where the hundredths digit is x.
Answer:
The mentioned number in the exercise is:
362Step-by-step explanation:
To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.
If:
x = hundredths digity = tens digitz = ones digitWe can write:
x = z + 1 (the hundreds digit is one more than the ones digit).y = 2x (the tens digit is twice the hundreds digit).x + y + z = 11 (the sum of the digits is 11).Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:
x + y + z = 11(z + 1) + y + z = 11 (remember x = z + 1)z + 1 + y + z = 11z + z +y + 1 = 11 (we just ordered the equation)2z + y + 1 = 11 (z + z = 2z)2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)2z + y = 102z + (2x) = 10 (remember y = 2x)2z + 2x = 102z + 2(z + 1) = 10 (x = z + 1 again)2z + 2z + 2 = 104z + 2 = 104z = 10 - 24z = 8z = 8/4z = 2Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:
x = z + 1x = 2 + 1x = 3And we'll use the second equation to obtain the value of y (the tens digit):
y = 2xy = 2(3)y = 6Organizing the digits, we obtain the number:
Number = xyzNumber = 362As you can see, the obtained number is 362.
Chelsey wants to join a fitness club. The fitness club charges an initial membership fee of $55 and a monthly fee of $19.50. She has $250 to spend on a membership at the fitness club. Which equation represents the situation? If m is the number of months.
55 + 19.50m = 250
55m -19.50 = 250
55 - 19.50m = 250
55m +19.50 = 250
Help plz
Answer:
1st option: 55 + 19.50m = 250
Step-by-step explanation:
PLS HELP LOLZ <33
tasha is putting money into a savings account with a simple interest rate of 4% per year. if she initially deposits $6,000, then how much will her investment be worth at the end of six year
Answer: tasha's investment will be worth $1,440
Step-by-step explanation:
4%= 4/100= 0.04
PRT=6,000*0.04*6= $1,440
If 2x − 9 = x, then 12x =____?
Evaluate the expression (8.1 +7.9)x-(25/5)x
Answer:
The answer final is : 11x I'm very sure
Step-by-step explanation:
If you want me to expand on the equation leave me a comment
For the remaining portion of the living room not covered by the new flooring, Michelle wants to paint the concrete. After carefully measuring the exposed concrete, she determines 6 square feet are already painted and the remaining unpainted area forms a square with side length x. The entire area of concrete, including the painted and unpainted portions, is a total of 31 square feet. Write an equation that could be used to find the unpainted square side length x
Answer:
[tex]x^2 + 6 = 31[/tex]
Step-by-step explanation:
Given
[tex]Painted = 6ft^2[/tex]
[tex]Total = 31ft^2[/tex]
Dimension of unpainted area:
[tex]Length = Width = x[/tex] --- Square
Required
Determine an expression to solve for x
First, calculate the area of the unpainted space;
[tex]Area = Length *Width[/tex]
[tex]Area = x*x[/tex]
[tex]Area = x^2[/tex]
The unpainted area, added to the painted area, equals the total area.
So, we have:
[tex]Area + Painted = Total[/tex]
[tex]x^2 + 6 = 31[/tex]
Hence, the expression is: [tex]x^2 + 6 = 31[/tex]
what is x+3=12 simplified?
Answer:
x = 9
Step-by-step explanation:
x + 3 = 12
subtracting both sides by 3
x + 3 - 3 = 12 - 3
x + 0 = 9
x = 9
Answer:
x = 9
Step-by-step explanation:
x + 3 = 12
x (+ 3 - 3) = 12 - 3
x = 9
A system of linear equations is graphed.
Which ordered pair is the best estimate for the solution to the system?
(0, −6.5)
(2, −6.5)
(−1.5, 0)
(2.5, −6.5)
Answer:
(2, −6.5)
Step-by-step explanation:
The solution to a system of equations is where they intersect
They intersect near x = 2 y = -6.5
Answer:
(2, −6.5)
Step-by-step explanation:
State the domain of
f(x) = log2(2x - 5)
Answer:
Domain:
(−∞,5/2),{x/x<5/2}
Step-by-step explanation:
not sure tho wait for someone else to see if its true
What value of x would make Bl parallel to RA?
Given:
Bl parallel to RA.
To find:
The value of x.
Solution:
In triangle ATR and ITB,
[tex]\angle ATR\cong \angle ITB[/tex] [Common angles]
[tex]\angle ART\cong \angle IBT[/tex] [Corresponding angle]
[tex]\triangle ATR\sim \triangle ITB[/tex] [AA property of similarity]
We know that the corresponding sides of a similar triangle are proportional. So,
[tex]\dfrac{AT}{IT}=\dfrac{AR}{IB}[/tex]
[tex]\dfrac{x}{x+8}=\dfrac{12}{18}[/tex]
[tex]\dfrac{x}{x+8}=\dfrac{2}{3}[/tex]
On cross multiplication, we get
[tex]3(x)=2(x+8)[/tex]
[tex]3x=2x+16[/tex]
[tex]3x-2x=16[/tex]
[tex]x=16[/tex]
Therefore, the correct option is C.
Ellie buys some craft supplies. The supplies cost a total of $6.43. She pays with a $20
bill. How much change does she receive?
The change she receive = 20-6.43= 13.57$
Answer:
$13.57
Step-by-step explanation:
$20 - $6.43
=13.57
Can y’all help me solve for K ?!
Answer:
Step-by-step explanation:
K+4 = 11;
k = 7
Answer:
B is true
Step-by-step explanation:
so use k+4=11 to solve that k+7
how is the graph of y=8x^2-1 different from the graph y=8x^2
Answer:
The y-int is different -1 is the y-int.
Step-by-step explanation:
find the 24th term in a rule of 3n+2.
a. 72
b. 74
c. 76
d. 78
Answer:
74
3n+2
3×24=72
72+2=74
The soccer team scored three goals in their first game seven goals in their next game in two goals
in their third game what was the mean number of the goal scorer for three games
Answer:
4
Step-by-step explanation:
3+7+2
12
12/3
4
Your teacher asks all 30 students in your class their favorite color and tallies the results. Which graph would best
demonstrate the favorite colors of the students in the class?
A)
bar graph
B)
pie chart
circle graph
D)
stem-and-leaf plot
E)
box and whiskers plot
Ans it depends but i think it is a and b
Find the volume of a pyramid with a square base, where the area of the base is 19 cm^2 and the height of the pyramid is 23.8 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
150.7
Step-by-step explanation:
Formula to the find volume of a pyramid:
V=1/3 (B)(h)
V=1/3 (19) (23.8)
The first positive angle between the initial and terminal arm of an angle in standard position is called the
Answer:
The initial arm of an angle rotates to its terminal position, either in a positive, counterclockwise direction or a negative, clockwise direction. The principal angle is the first positive angle less than 360°.
The positive angle formed when an angle is in a standard position is called principal angle.
An angle is formed at the point where two or more lines meet. And it is said to be in a standard position if its edge is located at to the origin with its initial arm in line with the horizontal axis. The initial arm of an angle is the side with which the angle is measured from, while the terminal arm is the side on which the measure of an angle terminates. Thus, angles are normally measured from there initial arm to the terminal arm.
Therefore, the first positive angle formed between the initial and terminal arm of an angle in a standard position is usually called the principal angle.
A sketch for more clarifications is herewith attached to this answer.
Reference: https://brainly.com/question/21074748
what sum of money amounts to Rs 60000 in 2 years at the rate of 10% per annum find it
Answer:
Rs.27000
Step-by-step explanation:
60000 ÷ 2 = 30000 per year
30000 × [tex]\frac{10}{100}[/tex] = Rs. 3000
30000 - 3000 = Rs. 27000
Which expression below has the same value?
Answer:A
Step-by-step explanation:
Answer:
15/8
Step-by-step explanation:
You will want all numbers to have the same common denominator, then you can add them together.
1 = 8/8
1/2 = 4/8
1/4 = 2/8
1/8 = 1/8
[tex]1+\frac{1}{2} +\frac{1}{4} +\frac{1}{8} \\\frac{8}{8} +\frac{4}{8} +\frac{2}{8} +\frac{1}{8}[/tex]
Rewrite the linear function 7x−y=15 in slope-intercept form.
y=−7x−15
y=7x+15
y=−7x+15
y=7x−15
please help!!
3(3a + 4b) + 4(2a - 5b) please answer quick
Step-by-step explanation:
3(3a+4b)+4(2a-5b)
=9a+12b+8a-20b
=17a-8b
Mr. Howard planted a new garden. The garden is 15 feet long and 4 feet wide. What is the perimeter of mr. Howard's garden?
Answer: 38 feet
Step-by-step explanation:
Based on the dimensions of the garden, we can infer that it a rectangular garden because one side is longer than the other.
The perimeter of a rectangle is calculated as:
= (2 * length) + (2 * width)
= (2 * 15) + (2 * 4)
= 30 + 8
= 38 feet
anyone good at math?
Answer:
3.9 mi^2 (rounded)
PLEASE HELP I WILL MARK BRAINLIEST DUE IN 5 MINUTES
look at attachment
Answer:
A: -9a
Step-by-step explanation:
Hope that helps!
How can the manager use the data in the dot plot to improve the airline?
Answer:
The dot plot shows that most planes fly below the optimal cruising speed. This means that the airline isn’t being as efficient as it can be. So, the manager needs to have a discussion with the pilots to determine why they aren’t reaching the optimal cruising speed or check the planes to make sure everything is running at full capacity.
Step-by-step explanation:
the answer that is given on edmentum
a man has been driving a second hand car for the past four years. over these four years he managed to save 16% as a deposit of the price of the brand new car he wants to buy. the price of the new car is 750 000... calculate the amount he saved for the deposit
Answer:
$120,000
Step-by-step explanation:
Given that
The price of the new car is $750,000
And, the saving percent is 16%
We need to find out the saving amount for the deposit
SO, the saving amount is
= $750,000 × 16%
= $120,000
We simply multiply these two to each other so that the saving amount could come
How do you solve 5 * 10^-2
Answer:
0.05
Step-by-step explanation:
10^-2 = 1/100
1/100 * 5 = 0.05 or 1/20
4. Up until the last game, Sellina has made 75% of her free-throws. If she continues
to make her free-throws at this rate, what is the probability that she will make the
next two free-throws in the next game?
Answer:
0.5625 = 56.25% probability that she will make the next two free-throws in the next game.
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either Sellina makes it, or she misses. The probability of making a free throw is independent of any other free throw. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
75% of her free-throws.
This means that [tex]p = 0.75[/tex]
What is the probability that she will make the next two free-throws in the next game?
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.75)^{2}.(0.25)^{0} = 0.5625[/tex]
0.5625 = 56.25% probability that she will make the next two free-throws in the next game.
The area of a parallelogram is 125 square inches and the height of the parallelogram is 10 inches. What is the lenght of the base of the parallelogram?
18.75 inches
25 inches
6.25 inches
12.5 inches
Answer:
12.5 inches
Step-by-step explanation:
Im taking the exam!!