Answers
Answer:
224mm²
Step-by-step explanation:formula for area of triangle = base x height x 1/2
8x10 = 80 80 / 2 = 40 40 x 4 = 160 area for square =base x height
the pyramid is comprised of four triangles and one square, all we need is to find the individual surface areas of the shapes that compose the pyramid
Answer:
(a) see attached
(b) Surface area = 224 mm²
Step-by-step explanation:
A square based pyramid is made up of a square at the base and 4 congruent triangles as the sides which meet at one point.
Area of a triangle = 1/2 × base × height
⇒ area of one triangle = 1/2 × 8 × 10
= 40 mm²
Area of a square = s² (where s is the side length)
⇒ area of base = 8²
= 64 mm²
Total surface area = 4 × area of one triangle + area of the base
= 4 × 40 + 64
= 224 mm²
Related Questions
-1/3(5x+12)-3
show work.
Answers
Answer:
-5/3x-7
Step-by-step explanation:
I will say -5/3x-4
i totally forgot the -3
my bad but -3 with -4 and it would be -7
my 2nd guess is -5/3x-7
There were 8 judges at a gymnastics competition. Kathleen received these scores for her performance on the uneven parallel bars.
8.9, 8.7, 8.9, 9.2, 8.8, 8.2, 8.9, 8.8
a. Find the mean, median, and mode.
b. Which statistic reflects a typical score? Explain.
Answers
Answer:
below
Step-by-step explanation:
mean : 8.8
The mean is the average, so you find it by adding all the numbers together and dividing by n, or how many numbers there are. For this, I added to get 70.4 and divided that by 8 (8 total scores).
70.4/8 = 8.8.
median : 8.85
The median is the middle of the data set, so you put the numbers in increasing order (lowest number to highest number) and then finding the middle of that set. For this set, since there is an even number of numbers (8), you have to find the middle by adding the two middle numbers and dividing by 2.
8.2, 8.7, 8.8, 8.8, 8.9, 8.9, 8.9, 9.2
The middle numbers are 8.8 and 8.9, so you add those together and divide by 2 to get 8.85.
mode : 8.9
The mode is just what number appears most often. Because 8.9 appears three times in this data set, more than any other number, the mode is 8.9.
b. The mean reflects a typical score because it is the average, and is used most often when someone is expressing a typical or "average" score. It is the score most people are likely to get, and as there are no outliers in this data set, it reflects a typical score for this data set. It is also the same as the mode, or most often score, in this data set.
1) Put the numbers in order
8.2, 8.7, 8.8, 8.8, 8.9, 8.9, 8.9, 9.2
2) mean is average
70.4/8 = 8.8
3) Median is the middle number; if m = 2, then divide them by 2
17.7/2 = 8.85
4) Mode is most often
8.9 (3 times)
3.A city of 100,000 is having pollution problems and is decreasing in size 4% annually (every
year). Find the population of this city in 16 years.
Answers
Answer:
64,000
Step-by-step explanation:
4x100,000/100=4,000
4,000x16=64,000
When a cannonball is fired, the equation of its pathway can be modeled by h=-16t2 +128t. Find the maximum night of the cannon ball
Answers
Answer:
256
Step-by-step explanation:
When the equation is graphed the highest point is (4,256). So 256 is the maximum height of the cannon ball.
WILL GIVE BRAINIEST
50 POINTS!!
i am timed
What is the scale factor of this dilation?
Answers
Answer:
The scale factor of this dilation is [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The length of AC is 8, which is given. Since AC' is the dilated side that corresponds to AC, and the length is 4, that means the scale factor of dilation from ABC to AB'C' is [tex]\frac{4}{8}[/tex] or [tex]\frac{1}{2}[/tex].
What is the value of y?
A.
16
B.
48
C.
64
D.
132
Answers
Answer:
3x+3x+7x+20+7x+20=360
20x=360-20
20x=320
x=16
therefore x=16 so,
7x+20+y=180
but x=16
7(16)+20+y=180
y=180-132
y=48
Use the algebra tiles to model x 2. Which statements are true? Select all that apply. The expression cannot be modeled. The variable is modeled by an orange x tile. The variable is modeled by an orange tile. 2 is modeled by 2 orange x tiles. 2 is modeled by 2 orange tiles.
Answers
The statements are true about the algebra tiles to model x + 2 are as follows;
The variable is modeled by an orange x tile.
+ 2 is modeled by 2 orange + tiles.
What are algerbra tiles?
Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.
Given
Use the algebra tiles to model x + 2.
The statements are true about the algebra tiles to model x + 2 are as follows;
The variable is modeled by an orange x tile. + 2 is modeled by 2 orange + tiles.To know more about algerbra tiles click the link given below.
https://brainly.com/question/81876
Answer:
The variable is modeled by an orange x tile
+ 2 is modeled by 2 orange + tiles
Step-by-step explanation:
Edge 2022
Given triangle ABC in which angle B = 47 degrees, angle C = 65 degrees and c = 12.4cm, determine the length of b.
Answers
Answer:
Step-by-step explanation:
How big is the universe
Answers
Answer:
The universe has... No volume, No size, and no weight it's infinite in every way. something we humans sadly will never uncover.
Step-by-step explanation:
Prove that cot 4x (sin 5x + sin 3x) = cot x (sin 5x – sin 3x).
Answers
..........................
.........
.....
....
Which triangles are similar?
A. Triangles A and C
B. Triangles A, B, and C
C. Triangles B and C
D. Triangles A and B
Answers
Answer:
See below.
Step-by-step explanation:
They are all similar.
-hope it helps
Elin’s old fish tank is leaking. Diagram not drawn to scale This old fish tank is in the shape of a cuboid. The base of this tank measures 60cm by 40cm. Before the leak, the height of the water level in Elin’s old fish tank was 45cm. Elin decides to replace her fish tank with a cylindrical one. 70 cm Diagram not drawn to scale 25 cm She selects a new cylindrical fish tank that has a radius of 25cm and a height of 70cm. Will all the original contents, including the water and the fish, fit into this cylindrical tank? You must show all your working.
Answers
Step-by-step explanation:
nnsndnxnxndjenendjdnrjr
If an object has two forces acting on it, and the object is moving with constant velocity, what can be said about these forces? Select all that apply. One of the forces is larger than the other.One of the forces is larger than the other. , , The forces have opposite directions.The forces have opposite directions. , , The forces have the same direction.The forces have the same direction. , , The forces have equal magnitudes.The forces have equal magnitudes. , ,
Answers
Answers:
The forces have opposite directions
The forces have equal magnitudes
=====================================================
Explanation:
Imagine a bucket of water being held up by a rope.
Gravity pulls down on the bucket with a constant force. The reason why the bucket doesn't fall to the ground is because the tension in the rope is holding it up.
More specifically, the force of the rope's tension is exactly matching the force of gravity. So we have equal magnitudes here. However, the force vectors point in complete opposite directions. Gravity points down and the tension of the rope points up. The two opposite directions cancel out to create balance and that's why the object doesn't move. It has velocity = 0 which is considered a constant velocity even though it's not something like 3 m/s.
If the forces acted in the same direction, then the magnitudes would add up to accelerate the object (either downward or upward). However, the bucket stays fixed in place, so it's clear that the vectors must be opposite in nature.
---------------
Now consider a skydiver. At some point of the descent, the skydiver will hit terminal velocity. This is the fastest s/he can fall because the force of gravity pulling down counterbalances perfectly with the upward force of wind/air resistance pushing upward. The air is resisting the downward motion being a form of friction. In this case, the magnitude of the gravitational force is the same as the magnitude of the upward air resistance.
Unlike the bucket of water, the skydiver is of course moving. They are moving at a constant velocity since they cannot accelerate any faster. Hence the name "terminal" meaning "the final or ending velocity". It is when the parachute is deployed that will apply a much greater upward force, which then slows down the downward velocity to allow the skydiver to safely land.
---------------
In both examples, we have a constant velocity happening when the vectors pull in equal amounts but in opposite directions. Think of it like a tug-of-war to keep everything balance. If there is an imbalance of any kind, then acceleration will happen.
ite and Identity Statistical tions Select from the drop-down menu to create a statistical question Dan could ask his friends in a survey.
What is Choose... Choose George's favorite food?
the color of a lemon?
the capital of Spain?
your favorite food?
Answers
What is your favorite food is the most appropriate statistical question.
What is a statistical question?This refers to a question that leads to different answers. These answers can be collected and analyzed based on statistics to determine the preferences or habits of people.
What is the ideal statistical question?From the options, the best statistical question is: What is your favorite food?. The reasons are:
This question leads to different answers; on the opposite, questions such as "What is the capital of Spain" are likely to be answered in the same way.The answers can be collected and analyzed. For example, you can analyze how many people like hamburgers or how many people have the same favorite food.Learn more about statistical question in: https://brainly.com/question/21508412
Answer:
favorite food
Step-by-step explanation:
i took the k12 test
(6 +4) x 8 =
find the answer
Answers
What are the four main types of graphs and when would they be most appropriate to use?
Answers
Answer:
The four main types of graphs are line graphs, bar charts, pie charts, and histograms. They all can be used for many things
What is the value of x in the diagram below.
A.6
B.4.2
C.7
D.4
Answers
Answer:
x = 6
Step-by-step explanation:
Side NL is congruent to ML. Thus, making x = 6.
Can you guys pls help me with this
Answers
Answer:
the answer is c
Step-by-step explanation:
not enough information
Answer:
Step-by-step explanation:
İt is SSS
Because
∡FBG=∡FBC
∡BFC=∡BFG
=> ∡BCF=∡BGF => SSS
Which exponent is bigger x6 or x-3?
Answers
Answer:
6
Step-by-step explanation:
6 > -3
6 is a greater exponent than -3
what number produces an irrational number when added to 1/3
Answers
That is the correct answer
Greatest to least 9,354 , 9,012 , 9,1 , 9,157
Answers
Answer:
9,354,9,157,9,012,9,1
Step-by-step explanation:
First I do thousands place so 3 numbers have 9 for thousands place.
Numbers are
9,354
9,157
9,012
it cant be 9,012 because this number don't have a hundreds place.
But in hundred place 9,354 would be better than 9,157 because 9,354 had 300 while 9,157 only has 100.
So greatest=9,354
Second greatest=9,157
And last 9,000 number third greatest=9,012.
Our last numbers don't have hundreds or thousands,they have ones but 9 is greater than 1 because...
Say you had 9 pizzas and your friend had 1 you would have more or a greater amount so.
Least=1
and second least=9
Meaning order=
9,356=greatest
9,157
9,012
9
1=least
Hope it helps have a great day:)
For each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are some numbers, to satisfy the given solution set.
1. 5 and 17
2. -4 and 6
3. -0.5 and 0.5
Please hurry!!
Will award 30 points!!
Answers
Answer:
b) |y-11|=6
c) |z-1|=5
d) |a-0|=1/2
Step-by-step explanation:
This definetly works!
The absolute value equations are =
1) |x - 11| = 6
2) |x + 1| = 5
3) |x| = 0.5
1) To satisfy the solution set of 5 and 17 on a number line, we can write an absolute value equation as follows:
|x - 11| = 6
Explanation: The midpoint between 5 and 17 is 11, which serves as the value c in the equation.
The absolute value of x minus 11 should be equal to the distance between the midpoint and either endpoint, which is 6.
2) To satisfy the solution set of -4 and 6 on a number line, we can write an absolute value equation as follows:
|x + 1| = 5
Explanation: The midpoint between -4 and 6 is -1, which is the value c in the equation.
The absolute value of x plus 1 should be equal to the distance between the midpoint and either endpoint, which is 5.
3) To satisfy the solution set of -0.5 and 0.5 on a number line, we can write an absolute value equation as follows:
|x| = 0.5
Explanation: In this case, the midpoint between -0.5 and 0.5 is 0, which is the value c in the equation.
The absolute value of x should be equal to the distance between the midpoint and either endpoint, which is 0.5.
Learn more about number line, click;
https://brainly.com/question/32029748
#SPJ2
in 1990 there were about 5.4 billion people in the world. if the population has been growing at 1.95% per year, estimate the year when the population will be 8 billion people
Answers
Answer:
2011
Step-by-step explanation:
Here is the formula.
[tex]A=P(1+r)^{n}[/tex]
A = Final Value
P = Starting Value
R = Rate
N = Time in Years
A = 8,000,000,000
P = 5,400,000,000
R = 0.0195
N = Time in Years
Solve for n.
20.35 Years from 1990; so sometime in 2011 the population would be 8 billion.
solve for x using the Pythagorean Theorem.
Answers
Which animal can run faster?
Answers
Answer:
i think A
Step-by-step explanation:
3. 40% of x is 35. Write an equation. Then use your equation to find x.
Answers
Answer: x = 87.5
................
Answer:
87.5
Step-by-step explanation:
40% of x = 35 , that is
[tex]\frac{40}{100}[/tex] x = 35
0.4x = 35 ( divide both sides by 0.4 )
x = [tex]\frac{35}{0.4}[/tex] = 87.5
1. a number is as much greater than 21 as it is less than 71. find the number
.
2. find 2 consecutive natural number whose sum is 63.
Answers
1. A number is as much greater than 21 as it is less than 71. Find the number
Solution -
Let the number be x.
x - 21 (number is as much greater than 21)71 - x (it is less than 71)As both the value of x - 21 and 71 - x is same hence,
=> x - 21 = 71 - x
=> x + x = 71 + 21
=> 2x = 92
=> x = 92/2
=> x = 46
Hence, the number is 46.
2. Find 2 consecutive natural number whose sum is 63.
Let the two consecutive numbers be x and x + 1.
=> x + (x + 1) = 63 (A.T.Q)
=> x + x + 1 = 63
=> 2x = 63 - 1
=> 2x = 62
=> x =62/2
=> x = 31
Hence, the consecutive natural numbers whose sum is 63 are 31 and 32.
Question 2: Look at the students work and solution to the problem. Identify the error that is made and describe it. Solve the problem correctly. Incorrect work/solution Simplify the expression: 7k + 14 - 9k - 10 = 16k + 4 Identify and Explain the error
Answers
Answer:
-2k + 4
Step-by-step explanation:
Given:
Incorrect work / solution
7k + 14 - 9k - 10 = 16k + 4
Error is the simplification of the like terms, that is, 7k - 9k
Correct work / solution
7k + 14 - 9k - 10
Collect like terms
= 7k - 9k + 14 - 10
= -2k + 4
The error made was adding 7k and 9k together, instead of subtracting 9k from 7k which gives -2k as answer
Understanding Exponents - Item 30692
Drag each expression to show if it is equivalent to 36,63,6 x 3, or none.
3 + 6
6 + 6 + 6
6 x 6 x 6
3 + 3 + 3 + 3 + 3 + 3
3 X 3 X 3
3 X 3 X 3 X 3 X 3 X 3
36
6
6 x 3
None
Answers
6 x 3
6^3
6 x 3
None
3^6
Answer:
none
Step-by-step explanation:
1) Find AB
round answer to the nearest tenth
Answers
Answer: 23.6
Step-by-step explanation: