Find the surface area of the square pyramid, Show your work please : )
Answer:
105in²
Step-by-step explanation:
Surface area is the total area of the faces.
The faces of pyramid consist of triangles and a square
The area of a square can easily be calculated by squaring the side length
the square of this pyramid has a side length of 5
so
area of square = 5²
5² = 25
the area of the square is 25in²
Now to find the area of the triangles
All we have to do is find the area of one triangle and multiply that buy 4 ( because there are four triangle)
the area of a triangle can be calculated using this formula :
[tex]A=\frac{bh}{2}[/tex] where b = base and h = height
The triangles have a base length of 5 in and a height of 8 in
so
[tex]A=\frac{5*8}{2} \\5*8=40\\\frac{40}{2} =20\\A=20[/tex]
So the area of one triangle is 20 in²
Now we multiply 20 by 4 to find the area of all 4 triangles
20 * 4 = 80
So the total area of the triangles is 80in²
Finally we add the two areas together
Surface area = 80 + 25
80 + 25 = 105
Hence, the surface area is 105in²
Answer:
105 in.
Step-by-step explanation:
To find the area of a square pyramid, use this formula
a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height.
The base is a square.
To find the area of a square, simply multiply the side length by itself twice (x^2).
5 x 5 = 25.
25 is the area of the base.
a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height
25 + 1/2 ⋅ p ⋅ height.
To find the perimeter of a square, add every side length; the sum is the perimeter.
5 + 5 + 5 + 5 = 20.
20 is the perimeter of the square.
a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height
25 + 1/2 ⋅ 20 ⋅ height
The height is the number along the little lines.
8 is the height.
Now that we have all parts of the formula, we have our final equation.
a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height
25 + 1/2 ⋅ 20 ⋅ 8 = 105.
105 in. is the surface area of the square pyramid.
Please help me with this question!
Here's the solution,
volume :
=》
[tex] \dfrac{1}{2} \times 12 \times 5 \times 3[/tex]
=》
[tex]90 \: \: m {}^{3} [/tex]
surface area :
=》
[tex](13 \times 3) + (5 \times 3) + (12 \times 3) + (2 \times \dfrac{1}{2} \times 12 \times 5)[/tex]
=》
[tex]39 + 15 + 36 + 60[/tex]
=》
[tex]150 \: \: {m}^{2} [/tex]
f(x)=2^x is the function to calculate the number of sections there will be when a paper is folded x times. What is the average rate of change in the number of sections based on the number of folds in the interval [3,6]?
PLEASE READ THIS EXPLANATION: It is an EXTREMELY foundational concept in algebra that must be understood. Ask questions in the comments if you do not understand anything because I love helping others learn! Do not be shy. :)
Alright, so let's just understand the problem. The interval [3,6] means that the smallest x-value is x=3 and the largest x-value is x=6, and they both INCLUDE x=3 and x=6 (It would exclude x=3 and x=6 if it was like interval (3,6) with parentheses). Since f(x) is an exponential function, the change per x is not consistent and its growth actually grows as it continues in the direction of infinity, so that is why the average rate of change is interesting and very much relies on what range there is. The average rate of change from x=3 to x=6 will be far smaller than the average rate of change farther down the road at x = 99999 and x = 100003.
So, how do we find the average rate of change? All you have to do is find the slope between two points. Simple as that.
So, how do we apply that here? Imagine a graph with two points, one point at x = 3 and one point at x = 6 and we do not know the y-value of either of these points. So, that's our first step!
We need to first find how much it grows at x=3 and x=6 separately to find the the y-value of these points. f(x) = 2^x for x = 3 means y = 8, and f(x) = 2^x for x = 6 means y = 64. We now have two points:
(3, 8) and (6, 64)
Now, all we have to do is find the slope between these lines. All we have to do is use the normal formula for finding slope:
(y₂ - y₁) / (x₂ - x₁) OR (y₁ - y₂) / (x₁ - x₂)
Most people use the first one, but they give you the exact same answer, so don't ever think it's impossible to use the second one. Let's just use the first formula anyway.
(3, 8) = (x₁, y₁)
(6, 64) = (x₂, y₂)
Now, let's use the formula (remember you can use either one because it won't affect your answer):
(y₂ - y₁) / (x₂ - x₁) = (64 - 8) / (6 - 3) = 56 / 3 = 18 and 2/3
So, the average rate of change is 18 and 2/3 or 18.666666667.
PLZZZ HELPPPP WILL MARK BRAINLIEST
Answer: 1
Heres why: If you subtract the 1 from 2 you get 1
Briefly explain the roles and relationships that exists amongst the producers, consumers, and decomposers in an ecosystem such as an ocean.
The roles and relationships that exist amongst the producers, consumers, and decomposers in an ecosystem is described by the food chain.
What is an ecosystem?
The meaning of ecosystem is the complex of a community of organisms and its environment functioning as an ecological unit.
Producer is an organism that produces its own food e.g. photosynthesis in plants. Also known as the base of the food-chain.
Consumer is an organism that consumes (eats) either a producer or another consumer e.g. animals will solely eat plants (herbivore), solely animals (carnivore), or a combination of both (omnivore).
Studies are showing that most animals are omnivores. Even pre-concluded herbivores or carnivores are found to eat a small variety of both plants and animals in a pinch. E.g. a deer would eat a baby bird if it found it on the ground.
Decomposers are organisms that 'eat' and break up dying/decaying material e.g. earthworms and fungi.
All of this together is the food cycle.
Learn more about ecosystem, click;
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help please i’ll give u a brainliest
Answer:
1. 36m squared
2. 60 m squared
3.288 m 2
4. 154m 2
Step-by-step explanation:
PLS HELP The figure shown is created by joining two rectangles. Enter the area, in square inches, of the figure.
Answer:
Its 108 because you have to split up the rectangles so when you cut them in half you will have 2 separate rectangles 1 with a base of 8 and a height of 9 so you will multiply those so 9 x 8 = 72 then just do the other two so 6 x 6 = 36 now you add those together 36 + 72 = 108 hope that helps
The Answer Is 108
Find the top length by adding 8+6=14
And the sides are the same length, meaning the sides are equivalent to 6.
6x14=84.
To find the sides for the the other rectangle, do 9-6 to get the side 3.
3x8=24
Add both areas to get 108 Inches Squared.
X=3n-18 the measure of Y=2n-27
Please help me I’m stuck
Answer:
[tex] {x}^{2} = {(13 - 6)}^{2} + {9}^{2} = {7 }^{2} + {9}^{2} \\ = 130 \\ x = \sqrt{130} = 11.4[/tex]
The meadian of 26 29 31 33 36
..................................................................
Which drawing shows lines that are PARALLEL?
Answer:
Step-by-step explanation:
I don’t see any pictures
When Caroline runs the 400 meter dash, her finishing times are normally distributed with a mean of 68 seconds and a standard deviation of 1.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 99.7% of her finishing times in the 400 meter race.
Answer:
(63.5 , 72.5)
Step-by-step explanation:
Carl wants some ice cream. The probability that he will get the following flavors are: Flavor Probability Chocolate chip 0.25 Caramel Critters 55% Blueberry cheesecake 1/5 Order the ice cream flavors according to their chances of availability from least to most likely.
The chances of availability from lest to most likely is Blueberry cheesecake, Chocolate chip and Caramel Critters.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs with certainty is 1 and the probability that the event would not occur with certainty is 0.
The chances of availability:
Blueberry cheesecake - 1/5 = 20%Chocolate chip = 0.25 = 25%Caramel Critters = 55%To learn more about probability, please check: https://brainly.com/question/13234031
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What is the vertex for this function? y=2x2−12x+16
Answer:
(3,-2)
Step-by-step explanation:
Rewrite in vertex form and use this form to find the vertex
In a highschool league, there were 256 touchdowns made last year. If 64 games were played, what is the mean, or the average, number of touchdowns made per game?
Answer:
4 per game
Step-by-step explanation:
54:40
Maya is finding the area of the shaded triangle below.
A triangle has a base of 73 meters and a height of 10 meters.
If she considers 10 m to be the height of the triangle, what should she use as the triangle’s base?
22 m
25 m
52 m
73 m
Answer:
d) 73 m
Step-by-step explanation:
From the Question, we are told that:
Maya is finding the area of the shaded triangle below.
A triangle has a base of 73 meters and a height of 10 meters.
If she considers 10 m to be the height of the triangle, what should she use as the triangle’s base?
The area of a triangle = 1/2 × Base × Height
We are already told the base of the triangle from the question and this is 73 m
Option D, 73 m is the correct answer
What is the measure of each acute angle in a right triangle where the measure of one acute angle is 5 times the measure of the other acute angle?
Answer:
90,75, and 15
Step-by-step explanation:
90+5x+×=180
6x=90
x=15
Write your question here (Keep it simple and clear to get the best answer) If jun has 12 T-shirt 6 pairs of parts, and 3 pairs of share, how many possibilities can be'drace himself up for the day?
Answer:
the number of possibilities that can be drace himself up for the day is 216
Step-by-step explanation:
Given that
jun has 12 t-shirts,6 pairs of pants and 3 pairs of shoes
We need to find out the possibilities that can be drace himself up for the day
So here
[tex]= 12C_1 \times 6C_1 \times 3C_1\\\\= \frac{12!}{1!(12 - 1)!} \times \frac{6!}{1!(6 - 1)!} \times \frac{3!}{1!(3 - 1)!}\\\\= \frac{12!}{1!(11)!} \times \frac{6!}{1!(5)!} \times \frac{3!}{1!(2)!}\\\\= 12 \times 6 \times 3\\\\= 216[/tex]
Hence, the number of possibilities that can be drace himself up for the day is 216
The same would be considered and relevant too
Elijah's workout at the gym consists of just the elliptical and treadmill. After burning 450 miles
on the elliptical machine, Elijah switched to the treadmill. If he is burning 12.5 calories per
minute on the treadmill, find the total number of calories he will have
burned during his workout if he spends 30 minutes on the treadmill.
I need to define the variables and write this in a slope and y-intercept form but I’m not sure how to do that
Answer:
375
Step-by-step explanation:
12.5=1min
30min=?
30x12.5=357
hii please help asap ill give brainliest thanks
Answer: b
Step-by-step explanation:
Because he establish and strong government in 322 bce and He was followed by his son Bindusara in 298 BCE so this is the answer nd i already did this question and got it right
PLEASE HELPPPPPPPPPP
Answer:
y = 25.20 m
Step-by-step explanation:
By applying tangent rule in ΔABC,
tan(25)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{y}{BC}[/tex]
BC = [tex]\frac{y}{\text{tan}(25)}[/tex] --------(1)
Now we apply tangent rule in ΔABD,
tan(15)° = [tex]\frac{y}{BC+CD}[/tex]
tan(15)° = [tex]\frac{y}{BC+40}[/tex]
BC + 40 = [tex]\frac{y}{\text{tan}(15)}[/tex]
BC = [tex]\frac{y}{\text{tan}(15)}[/tex] - 40 -------(2)
From equation (1) and (2),
[tex]\frac{y}{\text{tan}(25)}=\frac{y}{\text{tan}(25)}-40[/tex]
[tex]\frac{y}{\text{tan}(25)}-\frac{y}{\text{tan}(25)}=-40[/tex]
[tex]y[\frac{1}{\text{tan}(25)}-\frac{1}{\text{tan}(25)}]=-40[/tex]
y(2.1445 - 3.7321) = -40
1.5876y = 40
y = 25.1953
y ≈ 25.20 m
Therefore, measure of y is 25.20 m.
Which of the following represents the quadratic function f (x) = 5(x − 2)2 − 7 in standard form?
Answer:
f(x) = 10x - 27. I can't find the answer anywhere
Step-by-step explanation:
Five times of a number divided by 7 more than the number.If the result is 2 then what is the orignal number.
Answer:
n = 14/3 or 4 2/3
Step-by-step explanation:
n = a number
5n/(7+n) = 2
cross-multiply to get:
5n = 2(7+n)
5n = 14 + 2n
3n = 14
n = 14/3 or 4 2/3
please help ill give branliest answer
Answer:
The exterior angle is ∠BDC
Congreunt side is XZ
Step-by-step explanation:
The exterior angle just means the angle facing outside.
And for the congruent one you are right. Because they are put in the same order.
I need help with this NO LINKS REAL ANSWERS!!!!!
Will give Brainliest
Write this expression in simplest form.
Answer:
15x⁴
Step-by-step explanation:
Square root of 225 is 15.
Para la actuacion del dia de la madre , se colocaron en el patio 40 filas de 32 asientos para cada una. Para la siguiente actuacion,quieren acomodarla mismas cantidad de asientospero esta vez en 64 o en 60 filas ¿como seria la distribucion
Answer:
En 64 filas habrá 51 asientos
en 60 filas habrá 48 asientos
Step-by-step explanation:
Spanish
Primero se averigua la relación entre las filas y los asientos.
40: 32
Dividiendo por 8
5: 4
Usando esta relación podemos encontrar el número de asientos en el número dado de filas.
Si el número de filas es 64 entonces
Asientos de filas
64 x
5 4
Uso de la regla de productos cruzados
x = 64 * 4/5 = 51,2
En 64 filas habrá 51 asientos
Si el número de filas es 60 entonces
Asientos de filas
60 x
5 4
Uso de la regla de productos cruzados
x = 60 * 4/5 = 48
en 60 filas habrá 48 asientos
English
First the ratio of the rows to the seats is found out
40 : 32
Dividing by 8
5: 4
Using this ratio we can find the number of seats in the given number of rows.
If the number of rows is 64 then
Rows seats
64 x
5 4
Using cross product rule
x= 64*4/5= 51.2
In 64 rows there will be 51 seats
If the number of rows is 60 then
Rows seats
60 x
5 4
Using cross product rule
x= 60*4/5= 48
in 60 rows there will be 48 seats
On Friday, 153 people went to the movies in Smalltown. On Saturday and Sunday, 337 people went to the movies. On Friday and Saturday, 391 people went to the movies. How many people went to the movies on each day? Friday:. Saturday:. Sunday:
Answer:
Friday: 153 people Saturday: 238 Sunday: 99
Step-by-step explanation:
Subtract 153 from 391 to find the people on Saturday (238). Subtract 238 from 337 to find the people on Sunday (99).
MATH DON'T GIVE ME A LINK ANSWER ASSP
Answer:
The Answers are D and E
Step-by-step explanation:
all have 1 pair of parallel sides
like the 2 Ls in the word Parallel
Answer:
D and E
Step-by-step explanation:
A. Wrong: is a quadrilateral but has TWO pairs if parallel sides.
B. Wrong: is also a quadrilateral but also has TWO pairs if parallel sides.
C. Wrong: has only ONE pair of parallel sides, but is not a quadrilateral.
D. Right: is a quadrilateral with only ONE pair of parallel sides.
E. Right: is a quadrilateral with only ONE pair of parallel sides.
please help me with this
Answer:
x = number of cards that cost $2.50 each = 5
y = number of cards that cost $3.25 each = 1
Step-by-step explanation:
The equations are:
x + y = 6 (1)
2.5x + 3.25y = 15.75 (2)
From (1)
x = 6 - y
Substitute x = 6 - y into (2)
2.5x + 3.25y = 15.75 (2)
2.5(6 - y) + 3.25y = 15.75
15 - 2.5y + 3.25y = 15.75
- 2.5y + 3.25y = 15.75 - 15
0.75y = 0.75
y = 0.75/075
y = 1
Substitute y = 1 into (1)
x + y = 6
x + 1 = 6
x = 6 - 1
x = 5
Therefore,
x = number of cards that cost $2.50 each = 5
y = number of cards that cost $3.25 each = 1