The volume of the square pyramid is 2011.4 ft². The result is obtained by multiplying the area of base by height of the pyramid, then dividing it by 3.
What is the volume of a pyramid?
A pyramid is a polyhedron that has one base and lateral faces with the vertex at the top of the pyramid. The shape of lateral faces is always a triangle. While, the shape of the base varies and is used to name the pyramid.
The volume of the pyramid can be expressed as
V = ⅓ Bh
Where
B = area of baseh = height of a pyramidA pyramid with a square base has the side length of base of 19.3 ft. The height of the pyramid is 16.2 ft. Find the volume of the pyramid!
The area of base is
B = s²
B = 19.3 × 19.3
B = 372.49 ft²
The volume of the pyramid is
V = ⅓ Bh
V = ⅓ (372.49 ft²) (16.2 ft)
V = ⅓ (6034.338) ft²
V = 2011.446 ft²
V ≈ 2011.4 ft²
Hence, the volume of the pyramid with a square base is 2011.4 ft².
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Use multiplication to solve the proportion. a/6 = 15/2
Answer:
[tex]\frac{a}{6}[/tex] = [tex]\frac{15}{2}[/tex]
2a = 6 · 15
2a = 90
a = 45
Step-by-step explanation:
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PLEASE EXPLAIN HOW TO DO THIS LIKE IN STEPS AND EVERYTHING
Explain, in detail, the steps on how to factor the following trinomial.
3x^2+5x +2
Answer:
(3x+2)(x+1)
Step-by-step explanation:
Given the quadratic equaton;
3x^2+5x +2
Factorize
(3x^2+3x+)(2x+2)
Factor out the common value from each bracket
3x(x+1) + 2(x+1)
3x+2(x+1)
Hence the factored form is (3x+2)(x+1)
If the sumof two numbers is 4 and the sum of their squarea minus three times their product is 76, find the two numbers
Answer:
Step-by-step explanation:
If the sumof two numbers is 4 and the sum of their squarea minus three times their product is 76, find the two numbers
Let us represent:.
First number = x
Second number = y
If the sum of two numbers is 4
= x + y = 4
x = 4 - y
The sum of their squares minus three times their product is 76
x² + y² - 3xy = 76
We substitute 4- y for x
(4 - y)² + y² - 3(4 - y)y = 76
(4 - y)(4 - y) + y² - (12 - 3y)y = 76
16 - 4y - 4y - y² + y² - 12y - 3y² = 76
16 -20y - 3y² = 76
3y² + 20y - 16 + 76 = 0
3y² + 20y + 60 = 0
A player kicks a soccer ball resting on the ground. The height of the ball, h(t) in feet, after t seconds can be represented by the function h(t) = -16+2 +96t.
Use this information to answer the two questions that follow.
Part A: What is the total elapsed time, in seconds, from the time the ball is kicked until it reaches ground level again?
seconds
Part B: When will the ball reach its maximum height?
After seconds
Answer:
Part A: 6
Part B: 3
Step-by-step explanation:
trust me.
Answer:
6 seconds
After 3 seconds
Step-by-step explanation:
h(t) =-16t^2+96t
a=-16
b=96
c=0
96/2(-6) =3
Max = 3
(0,)
(6,0)
ht/t = 16t^2+96/t
which even number is a prime number
Answer:
2
Step-by-step explanation:
The only even number which is a prime is 2. It is the smallest prime number. Except 2, all other prime numbers are odd numbers.
Answer:
Answer is 2
Step-by-step explanation:
The only even number which is a prime is 2. It is the smallest prime number. Except 2, all other prime numbers are odd numbers.
I hope it's helpful!
Factor x⁴y² + x³y³.
A. x 3y 2(x + y)
B. x³y² (x + 1 )
C. x²y² (x + y)
Answer:
A..........,..,......
Step-by-step explanation:
....,.............
Find the number of terms in this polynomial. 7g7 + 10g4 – 6g3 + 3g2 - g
Answer:
If you have more than 4 terms you say polynomial with the certain number of terms you have. So the answer to this is polynomial with 5 terms.
Hope this helps.
Find x ( transversals relations )
Answer:
x = 12
Step-by-step explanation:
(8x - 34) and (5x + 2) are alternate angles and congruent, then
8x - 34 = 5x + 2 ( subtract 5x from both sides )
3x - 34 = 2 ( add 34 to both sides )
3x = 36 ( divide both sides by 3 )
x = 12
Three sisters have ages that are consecutive odd integers. The sum of their ages is 57. Find the age of each sister.
Answer:
The answer is 17 19 and 21
hope i could help!
There are 150 adults and 255 children at a zoo. The zoo makes a total of $4,500 from the entrance fees, and the cost of an adult and a child to attend is $23. how much does it cost each for a parent and a child? Let a represent an adult. Letc represent a child. Enter a system of equations to represent the situation, then solve the system. The system of equations is and The adult tickets cost $ and the child tickets cost $
Answer:
y+x=31, 150x+225y=5100.
y=-x+31
150x+225(-x+31)=5100
-75x=-1875
x=25 (adult tickets are $25)
31-25= 6 (child tickets are $6)Step-by-step explanation:
Answer:
Parent: $25
Child: $6
Step-by-step Explanation:
y+x=31, 150x+225y=5100
y=-x+31
150x+225(-x+31)=5100
-75x=-1875
x=25 (adult tickets are $25)
31-25= 6 (child tickets are $6)
I hope this helped :D
45x^4 + 72x^3 is factored form
Answer: 9 x 3 ( 5 x + 8 )
Step-by-step explanation:
Factor 9 x 3 out of 45 x 4 + 72x 3 .
need help asap! will give brainliest<3
Answer:
(B)
Step-by-step explanation:
Which describes how to calculate the range of this data set?
4, 5, 6, 8, 11, 12
A.) Subtract 11-5.
B.) Subtract 12-5.
C.) Add 11+5.
D.) Add 12+4.
Answer:
D.) Add 12+4
Step-by-step explanation:
I took the test on Edge 2021.
Write a proportion for brainliest
Answer:
B) [tex]\frac{WV}{VY} =\frac{VX}{XY}[/tex]
Step-by-step explanation:
The triangle VXY and triangle VWY are similar because they are both right triangles. Option B shows the correct proportions based off of this. Line WV is similar to line VX and line VY is similar to line XY.
I hope it helps and is correct!
Num projeto, o desenho de um jardim tem a forma de um triângulo retângulo onde a hipotenusa mede 4,5 cm. A escala utilizada foi de 1:200. Qual é o comprimento real desse lado do jardim (hipotenusa)? Apresenta a resposta em metros.
Answer:
9 metros
Step-by-step explanation:
Da pergunta acima
Fator de escala =
Medida correspondente: Representação do objeto
= 1: 200cm
Conseqüentemente:
1 cm = 200 cm
4,5 cm = x cm
x cm = 4,5 × 200 cm
x cm = 900 cm
O comprimento real deste lado do triângulo (hipotenusa) = 900cm
Pediram-nos para converter para metros
100cm = 1 m
900cm = xm
Multiplicação cruzada
100 cm × xm = 900 cm × 1 m
xm = 900 cm × 1 m / 100cm
xm = 9m
O comprimento real deste lado do triângulo (hipotenusa) em metros = 9 metros
if c% of a number is (a+b) what is the number
Answer:(a+b)/c ×100
Step-by-step explanation:
Let the number be "x"
According to the question,
X×C% = a+b
>> X × C/100 = a+b
So, x =(a+b)/c × 100
2horas 3 minutos 47 s as
Answer: I dont understand.
Step-by-step explanation:
could someone pleaseee help me :)
Answer:
1st one
Step-by-step explanation:
Answer:
a = 24
a = 150
a = 66
Step-by-step explanation:
your welcome
I need a lot of heeelp pleaseee
Answer:
i think its mn
Step-by-step explanation:
its the 2 close to qs
Which Paris of triangle must be similar?
Triangles 1 and 2 are equilateral
Is the following triangle congruent by SAS, ASA, or SSS? Why?
Answer:
ASA
Step-by-step explanation:
As it is shown
m<A = m<Z
m<Y = m<C and
|YZ| = |AC| so the triangles are congruent by ASA
Shirley went shopping in a mall. She reached the mall 12.5 minutes later than her usual time. While returning she took 20 minutes more than twice her usual time to reach home. If the usual time she takes to reach the mall is 40 minutes, find the total number of minutes Shirley spent going and coming back from the mall.
Answer:
Total time Shirley spent going and coming back from the mall= 152.5 minutes
Step-by-step explanation:
Usual time it takes to reach mall from home = 40 minutes
New time she took to reach the mall=12.5 minutes later than her usual time
= 40 minutes + 12.5 minutes= 52.5 minutes
New time she took to reach home ( lets assume she followed the same route as coming from home in which she spends 40 minutes) =20 minutes more than twice her usual time to reach home.=20 minutes + 2(40)= 20 minutes + 80 minutes
=100 minutes
Total time going and coming back from the mall =52.5 minutes +100 minutes = 152.5 minutes
The table shows two linear functions and the function values for different values of x.
Which expression represents h(x)?
A. (f ∙ g)(x)
B. (g + f)(x)
C. (f – g)(x)
D. (g – f)(x)
Answer:
the answer is A. (f ∙ g)(x)
Step-by-step explanation:
i got it wrong twice, and then it told me the answer
Answer:
its A
Step-by-step sussy vent imposter baka :) ;0
An archaeologist used string to make a grid over an area
where she was digging. She discovered a bowl buried at
(1,4) and a tool at (3, 10) on her grid. She suspected that an
item was buried at the midpoint of the segment connecting
the bowl and the tool. At which position on her grid should
the archaeologist dig to look for the buried item?
Answer:
option a c d are correct
Step-by-step explanation:
Since, the item was burried at the midpoint of the segment joining bowl and the tool. Archaeologist should dig at the midpoint which is at (2, 7).
Mid-point of a segment joining two points: If two points (a, b) and (c, d) are joined by a line segemnt, coordinates of the midpoint will be,Mid-point = [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]
Given points representing a bowl and a tool are (1, 4) and (3, 10).
Since, an item is burried at the midpoint of the segment joining bowl and tool,
Use the expression for the position of the mid-point of the segment.
Position of the item → [tex](\frac{1+3}{2},\frac{4+10}{2})[/tex]
→ (2, 7)
Hence, position of the burried item will be at (2, 7).
Learn more to get the center of a segment joining two points here,
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Jaime has lunch at a restaurant and needs to determine how
much tip to leave based on his bill. If his bill was $14.41 and
Jaime wants to leave a 20% tip, what is a reasonable estimate
for how much he should leave?
Answer:
2.88
Step-by-step explanation:
Quincy has box of cereal to eat over 6 days. If he splits the box into equal portions, how much will he eat each day?
Answer:
1/6 of the cereal box
Step-by-step explanation:
multiple choice geometry question helppp
COS = Adjacent / Hypotenuse
CosZ = 24/30
what is 10% of $10
Pls i need help
Answer:
1 dollar
Step-by-step explanation:
1 dollar is one tenth of a dollar ie 10%
Answer:
the answer is $1.
Step-by-step explanation:
- convert 10% into decimal form, which is 0.10
- then multiply 0.10 to 10
- that would equal to 0.10x10=1
The price have changed from $120 to $75. By how many
percent did it change?
Plz show how you did it
Answer:
around 37%
Step-by-step explanation:
120 × (1 - 37%) = 120 × (1 - 0.37) = 75.6
if im being honest i used calculator . net's percentage calculator
What is the difference?
Answer:
I WAS WRONG PICK D
Step-by-step explanation:
I'm an idiot