(URGENT)
What is the volume of the square pyramid with base edges 4m and height 3m?
Answers
The volume of a square pyramid is a^2 * h/3, assuming a is the base edge and h is the height. Plug the numbers in and you get your answer.
The volume of the square pyramid with base edges of 4 m and height 3 m is [tex]16 \, \text{m}^3[/tex]
To find the volume of a square pyramid, you can use the formula:
[tex]\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \][/tex]
For a square pyramid, the base area is the area of the square base. The formula for the area of a square is \( \text{Area} = \text{side}^2 \).[tex]\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \][/tex]
Given:
- Base edges = 4 m
- Height = 3 m
1. Calculate the Base Area:
The base of the square pyramid is a square, so its area is:
Base Area = [tex]\text{side}^2[/tex]
Base Area = [tex]4^2[/tex]
Base Area = [tex]16 \, \text{m}^2[/tex]
2. Plug the Values into the Volume Formula:
Now, we can plug the values into the volume formula:
Volume = [tex]\frac{1}{3} \times \text{Base Area} \times \text{Height}[/tex]
Volume = [tex]\frac{1}{3} \times 16 \, \text{m}^2 \times 3 \, \text{m}[/tex]
Volume = [tex]\frac{1}{3} \times 48 \, \text{m}^3[/tex]
Volume = [tex]16 \, \text{m}^3[/tex]
So, the volume of the square pyramid with base edges 4 m and height 3 m is [tex]16 \, \text{m}^3[/tex]
Related Questions
Can you help, please.?
Answers
Answer:
No 1 inch cubes will fit
28 one-half inch cubes will fit
Step-by-step explanation:
No cubes with a side length of 1 inch will fit because one dimension of the prism is only 1/2 inches, so we can't fit a 1 inch cube in anywhere.
Since one dimension is 1/2 inch, we can line up 1/2 inch cubes along the other 2 dimensions. Let's say that the 1/2 inch dimension is the base, the 2 inch dimension is the height, and the 7/2 inch dimension is the length.
We can stack the cubes 4 high, (2 inches of height with 1/2 inch being the cube height, there are 4 halves in 2).
We can place 7 cubes along the length (7/2 inches = 3.5 inches. There are 7 halves in 3.5).
So we can have 4(7) = 28 one half inch cubes can fit in to the prism
What expressions are equivalent tell me all if more than 1 :)
Answers
B. Is 4 times 1 plus 4 times 9y and 4+36y
a) the first and last one : 6x + 9x and 15x
b) second and third one : 4*1 + 4*9y and 4 + 36y
pls mark brainliest!
A latter leans agains the side of a house.The top of the ladder is 24ft from the ground. The bottom of the lAdder is 7ft from the side of the house. Find the length of the ladder.
Answers
Answer:
25 feet
Step-by-step explanation:
You can superimpose a triangle in this situation. The height from the ground to the top of the ladder along the wall is one leg of the triangle, the distance the ladder is from the wall is the other leg, and the length of the ladder is the hypotenuse.
Use Pythagorean theorem to solve, which is a² + b² = c² where a, and b are the legs, and c is the hypotenuse...
We have
7² + 24² = c²
49 + 576 = c²
625 = c²
25 = c
*Tecnhically the answer is ±25, but it's a length, so we disregard the negative answer.
when g(x) is divided by x^2+x-6 the remainder is 7x+13 . what is the remainder when g(x) is divided by x+3
Answers
Answer: (x - 2)(7x + 13) which is equivalent to 7x² - x - 26
Step-by-step explanation:
[tex].\qquad \dfrac{g(x)}{x^2+x-6}=7x+13\\\\\\\implies g(x)=(x^2+x-6)(7x+13)\\\\.\qquad \qquad =(x+3)(x-2)(7x+13)\\\\\\\text{What is g(x) divided by x+3?}\\\\\dfrac{g(x)}{3}=\dfrac{(x+3)(x-2)(7x+13)}{x+3}\\\\\\.\qquad =(x-2)(7x+13)\\\\\\.\qquad =7x^2+13x-14x-26\\\\\\.\qquad =\large \boxed{7x^2-x-26}[/tex]
Evaluate 356 - (-54)
Answers
410 is your answer, 2 subtractions signs next to eachother make a plus sign, so in the end it’s just 356+54 :)
Answer:
410
Step-by-step explanation:
The two figures are similar rectangles. Find the scale factor for the large rectangle to the small rectangle. A)3 B)1/3 C)2/3 D)3/2
Answers
Answer: 1/3
Hope This Helps ^_^
PLEASE HELP 15 POINTS 63m - 42 =
Answers
Answer:
9m - 6
Step-by-step explanation:
I don't know if you want it to be factored or simplified, but the greatest common factor is 7 so you can use that that so simplify the equation. Or you can substitute values for x.
What is the value of x?
Enter your answer in the box
X=
Answers
Answer:
both of them togther need to equal 180 so
10x-20+6x+8=180
16x-12=180
16x=192
192/16=12
x=12
Step-by-step explanation:
What Is 5 1/2 - 2 5/6? Explain Your Answer
Answers
Answer:
2 2/3
Step-by-step explanation:
Make them into improper fractions first.
11/2 - 17-6
Then multiply 11/2 so that they have common denominators.
33/6 - 17/6
Then solve.
33/6 - 17/6 = 16/6
Then convert back into a mixed number.
2 4/6 or 2 2/3
Solve the inequality 3k > 5k+12
Answers
Alright, let's solve this problem! :)
First we need to subtract 5k from both sides.
3k−5k>12
Then we simplify 3k - 5k to -2k.
-2k > 12
Now we divide both sides by -2.
k < -12/2
Now we simplify 12/2 to 6.
k < -6
✔️Done!
Have an amazing day!
Many has 40 ounce of butter that he is cutting into 1.25 ounces . How many slices will he have?
Answers
He would have 32 slices of butter.
The student will have 32 slices of butter if they cut 40 ounces into 1.25-ounce pieces by dividing the total amount by the size of each slice.
The student wants to know how many slices of butter they can get from 40 ounces if they are cutting it into 1.25 ounces each. To find out, they need to divide the total amount of butter by the size of each piece.
First, take the total amount of butter, which is 40 ounces.
Divide 40 ounces by the size of each slice, which is 1.25 ounces.
Calculate the division: 40 / 1.25 = 32 slices.
Therefore, the student will have 32 slices of butter if they cut 40 ounces into 1.25-ounce pieces.
What is the exact volume of the figure?
Answers
Answer: 890.12 cm^3
Step-by-step explanation:
The formula for the volume of a cylinder is
[tex]V=\pi *r^2*h[/tex]
V=628.3185307 cm^3
or simply
V=628.32 cm^3
Since, you know the radius of the hemisphere on top, you also know the radius since the height of the hemisphere is the same as it is wide.
Next, the formula for the volume of a sphere is
[tex]V=\frac{4}{3} \pi *r^3[/tex]
so the volume of a hemisphere is half of that or:
[tex]V=\frac{2}{3} *\pi *r^3[/tex]
V= 261.7993878 cm^3
or simply
V=261.80 cm^3
Finally, you add both of the volumes together to get
V= 890.1179185 cm^3
or simply
V=890.12 cm^3
How many square feet of outdoor carpet will we need for this hole
Answers
Answer:
You'll need [tex]36\ ft^{2}[/tex] of outdoor carpet for this hole
Step-by-step explanation:
we know that
The area of the outdoor carpet is equal to the area of the triangle minus the area of the rectangle
step 1
Find the area of the rectangle
The area of rectangle is equal to
[tex]A=bh[/tex]
we have
[tex]b=3\ ft[/tex]
[tex]h=2\ ft[/tex]
Calculate the area
[tex]A=(3)(2)=6\ ft^{2}[/tex]
step 2
Find the area of the triangle
[tex]A=(1/2)bh[/tex]
we have
[tex]b=12\ ft[/tex]
[tex]h=7\ ft[/tex]
Calculate the area
[tex]A=(1/2)(12)(7)=42\ ft^{2}[/tex]
step 3
Find the difference
[tex]42\ ft^{2}-6\ ft^{2}=36\ ft^{2}[/tex]
A box weighs 90 grams.Write down in terms of b ,the weight of b boxes
Answers
Let B = the weight of box B
Let 2B = the weight of box A
Let 2B + 30 = the weight of box C
B + 2B + 2B + 30 = 640
5B = 610
B = 122 pounds, weight of box B
2B = 2(122) = 244 pounds, weight of box A
2B + 30 = 2(122) + 30 = 274 pounds, weight of box C
hope this helps
Answer: 90b (grams)
Step-by-step explanation:
Given statement : A box weighs 90 grams.
Let b denotes the number of boxes, then the weight of b boxes will be :-
[tex]\text{Total weight of b boxes}=b\times\text{Weight of one box}\\\\\Rightarrow\ \text{Total weight of b boxes}=b\times90\\\\\Rightarrow\ \text{Total weight of b boxes}=90b[/tex]
Hence, the expression for the weight ( in grams) of b boxes : 90b
Joe has read 140 pages of his 300 page book what percent of the book has he read
Answers
He has read 46.66 %
Step-by-step explanation:Lets find the percentage
total pages are 300 and he has read 140
So
140/300 = 0.4666
Converting this into percentage again
We will multiply the decimal by 100
0.4666 x 100 = 46.66 %
While taking inventory at her bakery, Ruby noticed that she had 5⁄6 pound of cinnamon yesterday, but now had only 2⁄3 pound. How much more cinnamon did Ruby have yesterday?
Answers
Answer:
1/6 of a pound
Step-by-step explanation:
Multiply both the numerator and denominator for a common denominator.
2/3 * 2/2 = 4/6.
Then subtract to find out how much more she had yesterday.
5/6-4/6=1/6.
1/6 pound
Match the denominator
2/3 = 4/6
Subtract
5/6 - 4/6 = 1/6
Which of the following rules represents the function shown in the table?
Answers
This is F(n) = 3n
The X is an interger which is holding a value
The relationship between Y and X is 3n as we multiply X by 3 to get the value of Y and is proven yet so.
The rule which represent the function as shown in the table is:
[tex]f(n)=3n[/tex]
Step-by-step explanation:We are given a table as follows:
x 2 -1 0
y 6 -3 0
Now we are asked to find the function which represent these table of values.
a)
[tex]f(n)=n+3[/tex]
Here x is represented by n and y by f(n)
when n=2 we must have f(n)=6
Hence, we put n=2 in the given expression and check,
[tex]f(2)=2+3=5\neq 6[/tex]
Hence, this is not a correct function.
b)
[tex]f(n)=\dfrac{1}{3}n[/tex]
Again we check for n=2
We have:
[tex]f(2)=\dfrac{1}{3}\times 2=\dfrac{2}{3}\neq 6[/tex]
Hence, it is not a correct expression.
So we are left with option: c)
c)
[tex]f(n)=3n[/tex]
By putting the value of n=2,-1 and 0
we see that the expression matches the table of values.
( since,
when n=2 we have:
[tex]f(2)=3\times 2=6[/tex]
when n= -1 we have:
[tex]f(-1)=3\times -1=-3[/tex]
and when n=0 we have:
[tex]f(0)=3\times 0=0[/tex] )
Hence, this is a correct expression.
Find the solution to the system of equations given below using substitution. PLEASE ANSWER QUICKLY
A. x = 2, y = -5
B. x = 2, y = 5
C. x = 5, y = -2
D. x = 5, y = 2
Answers
Answer:
option D
D. x = 5, y = 2
Step-by-step explanation:
Given in the question two equation,
Equation 1
5.3x + y = 28.5
Equation 2
4.2x + 3.1y = 27.2
rearrange equation 1 in terms of y
y = 28.5 - 5.3x
Substitute the value of y in equation 2
4.2x + 3.1(28.5 - 5.3x) = 27.24.2x + 88.35 - 16.43x = 27.2
4.2x - 16.43x = 27.2 - 88.35
-12.23x = -61.15
x = 61.15/12.23
x = 5
put value of x in any of the equation
5.3(5) + y = 28.5y = 28.5 - 26.5
y = 2
Help me please :) I don’t wanna fail
Answers
Answer:
12
there are 6 combinations with sausage and 6 with red sauce and its asking how much outcomes include sausage so you add the two together and get 12
Franco wants to have $750,000 when he retires in a year. If he currently has $700,000 to put in a 1-year CD, which of these APRs and compounding periods will allow him to reach his goal?
Answers
Answer:
Francesco can achieve this amount by investing at an APR of 7.14% compounded annually , or 7% compounded every six months or 6.95% compounded quarterly
Step-by-step explanation:
This question can be solved using the concept of compounded interest
The formula for amount obtained when a principal of p was invested at a rate r compounding n times a year is:
[tex]Amt = p(1+\frac{r}{100n})^n[/tex]
Here p = 70000, amt = 75000,
So when compounded annually, n=1
[tex]Amt =p(1+\frac{r}{100n})^n\\75000=70000(1+\frac{r}{100})^1\\\frac{15}{14}=1+\frac{r}{100}\\\frac{1}{14}=\frac{r}{100}\\r = \frac{100}{14}=7.14[/tex]
For compounding every 6 months n=2
[tex]Amt =p(1+\frac{r}{100n})^n75000=70000(1+\frac{r}{200})^2\\\frac{15}{14}=(1+\frac{r}{200})^2\\\sqrt{\frac{15}{14}}=1+\frac{r}{200}\\r = 200*(\sqrt{\frac{15}{14}}-1)=7.01[/tex]
For compounding quarterly n=4
[tex]Amt =p(1+\frac{r}{100n})^n\\75000=70000(1+\frac{r}{400})^4\\\frac{15}{14}=(1+\frac{r}{400})^4\\(\frac{15}{14})^\frac{1}{4}=1+\frac{r}{400}\\r = 6.95[/tex]
To learn more about compound interest visit https://brainly.com/question/24924853
#SPJ2
Answer: An APR OF 6.98% compounded quarterly
Step-by-step explanation:
uhh im dumb but (36÷6)÷3
Answers
Answer:
2 is your answer. 36 divided by 6 is 6. 6 divided by 3 eaquls 2
Step-by-step explanation:
Answer:
(36÷6)÷3 = 2
Step-by-step explanation:
First, you would solve what is in the parentheses.
(36÷6)÷3 = (6)÷3 Now, find 6÷3
= 6÷3 = 2
so, (36÷6)÷3 = 2
I hope you find this helpful. :)
if 9 > 4x + 1 which inequality represents the possible range of values of 12x + 3?
Answers
Yeah the correct option is option D
find the area of this figure
Answers
Answer:
79.25 square inches
Step-by-step explanation:
To find the area of the figure, split it into two shapes - a rectangle and a semi-circle.
The area of a rectangle is A = b*h. Substitute b = 10 and h = 4.
A = 4*10 = 40.
The area of a semi-circle is A =1/2 πr². Substitute r = 5 since the diameter is 10.
A =1/2 π5² = 12.5π = 39.25.
Add the two areas together.
39.25 + 40 = 79.25
−3x+9−2x=−12−5x
infinitely, no solutions, one solution
Answers
Answer:
No solution
Step-by-step explanation:
Each side of the equation,once distributed, has 5x.
The 5x's cancel out to x= x-5
Which is incorrect and has no solution.
Answer:
No solution
Step-by-step explanation:
96 fluid ounces is bigger or smaller than 13 cups?
Answers
Answer:
1 Cup = 8 Fluid Ounces
Therefore 13 cups = 13*8 = 104 Fuid Ounces
So 96 Fluid Ounces is LESS THAN 13 cups.
Step-by-step explanation:
Find the equation of the line. Use exact numbers.
Y= ___x + ___
Answers
Answer:
y = 3x + 3
Step-by-step explanation:
The graph passes through the points (-1, 0) and (0, 3).
Slope = m = Δy/Δx = (y₂ - ₁)/(x₂ - x₁) = (3 - 0)/(0 - (-1)) = 3/1 = 3.
The y-intercept (b) is at y = 3.
The equation for a straight line is
y = mx + b
Thus, the equation for your line is
y = 3x + 3
In the complex number 4+ 2i, 4 is the (blank) part.
Real or imaginary
In the complex number 4 + 2i, 2 is the (blank) part.
Real or imaginary
Answers
Answer:
4 is the real part
2 is the imaginary part
Step-by-step explanation:
A complex number is written in the form a+bi
where a is the real part and b is the imaginary part
4 +2i
4 is the real part
2 is the imaginary part
Answer:
4 is real. 2 is imaginary
Step-by-step explanation:
Please answer quickly
Answers
Answer:
f(x)⁻¹ = 3x/(2 - x)
Step-by-step explanation:
Find the inverse of f(x) = 2x/(x+3)
The first step is to let f(x) = y
y = 2x/(x+3)
Then make x the subject of the formula
y = 2x/(x+3)
y(x + 3) = 2x
yx + 3y = 2x
yx - 2x = -3y
x(y - 2) = -3y
x = -3y/(y - 2)
∴ f(x)⁻¹ = -3x/(x - 2)
Dividing both numerator and denominator by -1;
f(x)⁻¹ = 3x/(2 - x)
which model best fits this set of data ?
HINT: graph the data to determine the best fit
------------
x : -4 -2 2 4
------------
y : -2 1 -2 3
------------
a. quadratic model
b. cubic model
c. linear model
Answers
The best model for the given data is likely a quadratic model because the y values increase then decrease and then increase again, a typical pattern of a quadratic model.
Explanation:To determine which model best fits the given set of data: (-4,-2), (-2,1), (2,-2), (4,3), we need to examine the relationship between the x and y values. Based on the given data, there is not a consistent increase or decrease, which suggests that the best model is not linear.
Quadratic model and cubic model can also be tested as they can capture complex patterns, which makes them a good fit for data that has peaks and valleys, such as our data set.
Upon examining the data, we realize there is a pattern where the value of y increases, then decreases, then increases again which is typically of a quadratic model. Therefore, the best fit for this data set is most likely a quadratic model.
Learn more about Quadratic Model here:https://brainly.com/question/17933246
#SPJ12
QUESTION 9! Answer all 20 questions in da quiz to get all de point in meh bank acc c:
Answers
The correct answer is A.
Hope this helps.
Answer:
The answer is A.
Step-by-step explanation:
This is because it wants you to represent the answer in Slope-Intercept Form. Which is y = mx + b. B is the y intercept, which is where it starts. On a graph, the y-intercept starts at ZERO. The 3 is at the zero, so you know what the first number is. Then, you need to see the fluctuation (change) in the value of each number in the y as you increase in x. As the x increases by one, you can see that the y decreases by two. So now you know, the ROC or Rate of Change is two, which is your slope. Slope is m. So if m is two, that makes 2x.
Hopefully this helps!