The volume of the pyramid with a square base, where the perimeter of the base is 14 m and the height of the pyramid is 8.8 m is 35.9 m³
How do i determine the volume of the pyramid?First, we shall determine the determine the area of the square base. This is shown below:
Perimeter of square (P) = 14 mArea of the square base (A) = ?P = 4L
14 = 4L
Divide both sides by 4
L = 14 / 4
L = 3.5 m
Now, the area is obtained as follow
A = L²
A = 3.5²
A = 12.25 m²
Finally, we shall determine the volume of the pyramid. Details below:
Area of the square base (A) = 12.25 m²Height of pyramid (h) = 8.8 mVolume of pyramid (V) = ?V = ⅓Ah
V = ⅓ × 12.25 × 8.8
V = 35.9 m³
Thus, we can conclude that the volume of the pyramid is 35.9 m³
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6. Hadila is 2 years younger than Kai Yee. Kai Yee's father's age is the square of Hadila's age. If Kai Yee is p years old, calculate the total age of the three of them. Express your answer in the form of algebraic expression.
ANSWER: p^2 - 2p + 2
Step-by-step explanation:
Total age of three = p + p-2 + (p-2)^2
= 2p-2 + p^2-4p+4
= p^2 - 2p + 2
Could someone help me
Answer:
D) 3^9
Step-by-step explanation:
3^4 3^8 / 3^3
3^4 / 3^3 = 3
= 3 * 3^8
= 3^9
Answer:
(x+2)(x+3)
√2x
3
−3
−4+i
Step-by-step explanation:
Please help guys love you
Answer:
1: Side-Side-Side theorem
2: Side-Angle-Side theorem
3: Angle-Side-Angle theorum
4: Side-Angle-Angle theorum
Step-by-step explanation:
Look at the order of the sides and/or angles of the triangles. Because both of the triangles have the same sides/angles based off either the side-side-side, side-angle-side, angle-side-angle, or side-angle-angle theorem, they are congruent.
Hope this helps! :)
Which expression is equivalent to i 233?
1
–1
i
–i
Step-by-step explanation:
i¹ = i
i² = i×i = -1
i³ = -1 × i = -i
i⁴ = -i×i = - -1 = 1
i⁵ = 1×i = i
...
so, when the exponent of i modulo 4 (the remainder when dividing by 4) = 0, then the result is 1.
= 1, then the result is i
= 2, then the result is -1
= 3, then the result is -i
233 modulo 4 = 1 (233/4 = 58, remainder 1).
so, the result is i (the third answer option).
E represents an object's weight on earth and m represents that same object's weight on the moon. the equation m = 1/6 e represents the relationship between these quantities. a. what does the 1/6 represent in this situation? b. give an example of what a person might weigh on earth and on the moon.
In the equation, 1/6 represents the constant of proportionality.
If a person weighs 60 kg on earth, the person would weigh 10kg ont he moon.
What is inverse proportion?
The equation that represents inverse proportion is: m = ke
Where:
m = dependent variable k = constant of proportionalitye = independent variableIf k is 1/6 and e is 60kg,
m = 1/6 x 60 = 10kg
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Ali had 2600 pens, he gave away 1547 pens, how many pens does he have left now?
2600 pens.
to find:the remaining pens Ali have after giving 1547 away.
solution:2600 - 1547
= 1053
so, Ali has 1053 pens with him.
Ali has 2600 pens.
to find:the amount of pens Ali has left after he gave away 1547 pens.
solution:subtract 2600 from 1547.
[tex]2600 - 1547[/tex]
[tex] = 1053 \: pens[/tex]
hence, Ali has 1053 pens left with him after giving 1547 pens away.
A radioactive compound with mass of 260 grams decays at a rate of 3.8% per hour. Which equation represents how many grams of the compound will remain after 8 hours?
A: C=260(1.038)^8C=260(1.038)^8
B: C=260(0.962)^8C=260(0.962)^8
C: C=260(0.038)^8C=260(0.038)^8
D: C=260(1-0.38)^8C=260(1−0.38)^8
The exponential equation that represents how many grams of the compound will remain after 8 hours is:
B: C=260(0.962)^8
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.A radioactive compound with mass of 260 grams decays at a rate of 3.8% per hour, hence the equation for the mass after t hours is given by:
[tex]A(t) = 260(1 - 0.038)^t[/tex]
[tex]A(t) = 260(0.962)^t[/tex]
After 8 hours, the amount is given by:
[tex]A(t) = 260(0.962)^8[/tex]
Hence option B is correct.
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Find the 15th term of this arithmetic sequence for 20,26,32,38,44
Answer:
104
Step-by-step explanation:
There are two ways to do it, though we need to know how it is affected.
20+6=26
26+6=32
32+6=38
38+6=44
Thus, you are adding 6 for each term.
1. You do it manually...(yes.)
I'll number it one by one
1.20
2.26
3.32
4.38
5.44
6.50
7.56
8.62
9.68
10.74
11.80
12.86
13.92
14.98
15.104
The 15th term is 104.
2. This method is easier. As shown above, there is a pattern. We can apply it using this formula:
20+6(n-1)
You can get this formula from the facts that:
-you start off with an additional added 8
-you add 6 every time
-if we do it 6n then it would be incorrect, with an extra 6 for each
-the formula is correct; you can test it for terms 2,3,4,5 like this:
20+6=26
20+2x6=32
20+3x6=38
20+4x6=44
To find the 15th term, you can:
20+14x6=20+84=104.
maths i need help i cant find the ans
Answer:
16 and 25
Step-by-step explanation:
they are square numbers
1^2 = 1 .. etc.
this is a I
There is an error 2*2 is 4 lol realised I wrote tht whoops
2 m
6 m
Volume = Base x height
Find the volume of this cylinder.
What do we do to both sides of this equation to solve?
x+3=5
Question 1 options:
Subtract 3 from both sides
Add 3 to both sides
Multiply both sides by 3
Divide both sides by 3
Answer:
Subtract 3 from both sides.
Step-by-step explanation:
x + 3 = 5
x = 5 - 3
x = 2
I know I`m late sorry, still wanted to answer
. _ .
5π
3
The value of cos-
is equivalent to
Answer:
[tex]\frac{5\pi }{3} = 0.5[/tex]
Step-by-step explanation:
5π/3 radians = 5π/3 × (180°/π) = 300°
⇒ cos 5π/3 = cos 5π/3 = cos(300°) = 1/2 or 0.5
If the diameter of a circle has 4 units, what is its circumference?
Answer:
The circumference of a circle with diameter 4 is 12.57.
A small bottle of shampoo can hold 35 milliliters of shampoo, whereas a large bottle can hold 500 milliliters of shampoo. Jasmine wants to buy the minimum number of small bottles necessary to completely fill a large bottle. How many bottles must she buy
Answer:
15
Step-by-step explanation:
500/35 approx 14.28
Always round up otherwise there won’t be enough
14.28 rounded up = 15
a florist sold bouquets of red roses to 15 of the first 20 customers who came into his shop. What is the experimental probability how many bouquets of red roses should the florist express to sell on a day with 120 customers?
Answer: ✨So I divided. 120 by 15 and got 8. I then multiplied it by 20 and got 160 bouquets✨
Step-by-step explanation: Still stuck? Get 1-on-1 help from an expert tutor now.
What is the value of b:
-8-b=-6
1) b=-2
2) b=2
Answer:
b = -2
Step-by-step explanation:
Add 8 to both sides: -8 - b + 8 = -6 + 8
-b = 2
Divide both sides by -1: -b/-1 = 2/-1
b = -2
state how the graph will change
Find five numbers so that the mean, median, mode and range are all 4
Answer:
4, 4, 4, 4, and 4
Step-by-step explanation:
mode = 4
median = 4
so we know two of the five numbers are 4;
[tex](x+x+x+4+4)/5 =4[/tex]
[tex](3x+8x)/5 = 4[/tex]
multiply both sides by 5
[tex]3x+8=20\\3x=20-8\\3x=12\\x=4\\[/tex]
therefore; the numbers are all 4
find the value of a and b in parallelogram WXYZ
opposit side of parallelogram are equal and opposit angles are also equal
I need help solving this
Answer:
x = 46 :)
Step-by-step explanation:
First we subtract :)
180 - 88 = 92
Now we divide :)
92/2 = 46
Now you know how to solve this type of problem!!
Have an amazing day!!
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graph the linear equation. find three points that solve the equation, then plot them on the graph. 5x-4y=-18
Give me full working and explanation! And I give you stars and I mark you as brainliest for sure. Best deal here.
1st clock timing
1 : 152nd clock timing
2 : 003rd clock timing
3 : 304th clock timing
4 : 4530.
formula for discount: original price - final price
discount: $700 - $505.75 = $194.25In percentage:
[tex]\rightarrow \sf \dfrac{194.25}{700} *100[/tex]
[tex]\rightarrow \sf 27.75\%[/tex]
ii)
3($194.25) = $582.75 discount
In percentage: same. 27.75%
which ordered pair represents
(fg)(3) on the graph of the combined function?
A. (9,-3)
B. (3,25)
C. (3,5)
D. (9,25)
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
76 in²
Step-by-step explanation:
Area of the figure
Area (top rectangle) + 2 x Area (bottom rectangle)12 x (7 - 2) + 2 x 2 x 412 x 5 + 1660 + 1676 in²James is competing in the shot put event for his tracJames is competing in the shot put event for his track team. His best attempt can be modeled using the quadratic function below,
h(x)= -0.05x^2+ x + 6
where x represents the horizontal distance, in feet, the shot traveled and h(x) represents the height, in feet, of the shot.
In this situation, the height of the shot starts to increase when
x = feet. (11 , 0, 10, or 6)
It continues to increase until
x = feet, (6, 20, 11, or 10)
and then the height decreases until
x = feet. (10, 20, 24, or 11)
The height of the shot starts to increase when x is -5 feet, It continues to increase until x = 10 feet and then the height decreases until x = 25 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h(x) represent the height of the shot put, when the horizontal distance is x feet.
h(x)= -0.05x² + x + 6
From the graph of h(x):
The height of the shot starts to increase when x is -5 feet, It continues to increase until x = 10 feet and then the height decreases until x = 25 feet
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Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.
AB = 12, BC = 9, and CD = 8
Step-by-step explanation:
By the secant-secant theorem, (AC)(BC)=(DC)(x+DC)
Substituting in the given values, (21)(9)=(8)(8+x)
So, 189=64+8x, meaning x = 15.625, or about 15.63.
A 15ft ladder is leaning up against a wall. The top of the ladder makes a 12° with the wall, how far is the base of the ladder from the wall?
Step-by-step explanation:
[tex]the \: length \: of \: the \: ladder \: becomes \: the \: hypotenuse \: [/tex]
[tex]the \: base \: becomes \\ = \sin( \alpha ) \times hypotenuse \\ = \sin(12) \times 15 \\ = 3.119ft[/tex]
In a game, the suit and number of a card must be guessed while it is facedown. If the odds of guessing the suit correctly are 13/52 and the odds of guessing the number are 4/52, then what are the odds of guessing both the number and suit correctly?
Answer:
1/52.
Step-by-step explanation:
The suit AND the number must be correct.
When you see AND in a probability question think 'multiply'.
That would be 13/52 * 4/52
= 52/(52)^2
= 1/52.
Can someone help me?
True or False. The volume formula for a general prism is dependent on the shape of the base.
answer: FALSE
Step-by-step explanation:
V=Bh
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm. The area A of a rectangle with length l and width w is A=lw .
A rectangular prism is 20 meters long, 13 meters wide, and 5 meters high. What is the surface area of the rectangular prism?
Answer:
850m^2
Step-by-step explanation:
Look at the formula SA=L*W*H. And plug in the numbers pertaining the question! hints on to what to add is stuff like "long" for length, "wide" for width, and "high" for height! And use a calculator, or scetch it out to find your total answer!
Hope this helps!
