A slice is made perpendicular to the base of a right rectangular pyramid through the vertex as shown below. What is the shape of the cross section? What is the area of the cross section? Explain with complete sentences and proper grammar.
Answers
Answer:
Shape: Triangle
Area: 27.5 cm
Step-by-step explanation:
Area formula for a triangle: b(base) x h(height) / 2
so, 5(11)/2 = 55/2= 27.5
Related Questions
Kira is using the figure shown to prove the Pythagorean theorem. She starts by writing the
equation (a + b)2 – 2 = 4( ab) because she knows two equal ways to represent the area
of the shaded region. Which best describes the next steps Kira should take to complete her
proof?
Answers
Answer:
B. Simplify both sides of the equation to get [tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]; then subtract 2ab and add [tex]c^2[/tex] to both sides of the equation
Step-by-step explanation:
Given
[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]
Required
Describe the next steps to
First, we open all brackets
[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]
[tex](a + b)(a + b) - c^2 = 4(\frac{1}{2}ab)[/tex]
[tex]a^2 + 2ab + b^2 - c^2 = 4 * (\frac{1}{2}ab)[/tex]
[tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]
At this point, options A and C are incorrect because they didn't present the right result of the expression.
So, we have options B and D to consider
The next step is to subtract 2ab from both sides
[tex]a^2 + 2ab + b^2 - c^2 - 2ab = 2ab - 2ab[/tex]
Collect like terms
[tex]a^2 + b^2 - c^2 +2ab - 2ab = 2ab - 2ab[/tex]
[tex]a^2 + b^2 - c^2 = 0[/tex]
Lastly, to prove the Pythagoras theorem, the equation has to be in form of[tex]a^2 + b^2 = c^2[/tex]; meaning the [tex]c^2[/tex] is added to both sides; See below
[tex]a^2 + b^2 - c^2 = 0[/tex]
Add [tex]c^2[/tex] to both sides
[tex]a^2 + b^2 - c^2 + c^2= 0 + c^2[/tex]
[tex]a^2 + b^2 = c^2[/tex]
At this point, only option B completes Kira's proof
Answer:
It’s B
Step-by-step explanation:
I did the test
Use the population data set of the price, in dollars, of a milkshake at five different restaurants: 2, 4, 6, 9, 14.
The mean is 7.
Which of the following is the approximate standard deviation for the set?
Answers
Answer:
The standard deviation of the set is 4.2
Step-by-step explanation:
The standard deviation (sd) for the set is calculated as follows:
sd² = [(x1 - mean)² + (x2 - mean)² + ... ]/N
where x1, x2, et cetera are the values in the set and N is the number of elements in the set. Replacing with data:
sd² = [(2 - 7)² + (4 - 7)² + (6 - 7)² + (9 - 7)² + (14 - 7)²]/5
sd = √17.6
sd = 4.2
Arial says that, for any pair of linear relations, if the coefficients of the y-terms are equal and the coefficients of the x-terms are equal, the graphs of the two lines will be parallel.
a. Give an example for which Arial's claim is true.
b. Give an example for which Arial's claim is false.
c. Suggest an improvement to Arial's claim.
Answers
Answer:
a. Give an example for which Arial's claim is true.If linear relations have equal coefficient about the independent variable, then those linear relations are parallel. For example, [tex]y=3x+4[/tex] and [tex]y=3x-5[/tex].
Notice that the coefficient of the dependent variable must be also equal, otherwise it would change the slope of the expression and they wouldn't be parallel.
b. Give an example for which Arial's claim is false.The statement is not false.
c. Suggest an improvement to Arial's claim.An improvemente would be that the constant term no need to be equal too, between linear relations, because they can be at "differecent heights", sort of speak.
Determine whether 90.5m .92m is equivalent to each of the following expressions.
Equivalent
Not equivalent
ვნm
81m
92.5m
Answers
Answer:i think it is 92.5
A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 4 had a mispriced item. If 1,600 people go to this store each day, how many people would you expect to have a mispriced item?
Answers
Answer:
128
Step-by-step explanation:
There are 32 50's in 1600.
So 32x4=128
While shopping at a clearance sale, Samantha finds a $60.00 dress on sale for 25% off. Samantha also has a 50% off coupon
Which statement correctly summarizes her savings?
Samantha will save $45.00 because the two sales will combine for 75% off the original cost.
Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction
Samantha will save $22.50 because she must first find the 25% sale price before taking the extra 50% reduction
Samantha will save $15.00 because the two sales will combine for 75% off the original cost
PLEASE HELP!!!!
Answers
Answer:
Samantha will save 45 dollars because the two sales will combine for 75 percent off the orignial cost.
Step-by-step explanation:
50 + 15 equals 75
75 percent off of 60 equals 15 dollars
60-15 equals 45 dollars so she saved 45 dollars.
Answer:
Samantha will save 45 dollars because the two sales will combine for 75 percent off the orignial cost.
Step-by-step explanation:
50 + 15 equals 75
75 percent off of 60 equals 15 dollars
60-15 equals 45 dollars so she saved 45 dollars.
Step-by-step explanation:
What is the value of x, tanx=7 to the nearest hundredth?
a. 54.94 degrees
b. 56.94 degrees
c. 81.87 degrees
d. 85.94 degrees
Answers
the answer is C. 81.87
What is the surface area of the cylinder with height 5 m and radius 8 m?
Round your answer to the nearest thousandth.
Answers
Answer: 653.45m²
I got it right thats why
think: 1 cartoon = 1
Answers
Answer:
1 cartoon = 1 dance
Step-by-step explanation:
Not sure what the question asks for?
Answer:
SpongeBob
Step-by-step explanation:
Is that what you wanted?
WILL MARK BRAINLIEST! A bag has 4 blue marbles, 6 green marble and 3 red marbles in it. What is the ratio proportion of pulling a red or green marble from the bag ? *
Answers
Answer:
9:13
Step-by-step explanation:
i need your help please asap
Answers
Step-by-step explanation:
First we will calculate the total amount spent on each website so
Website A = 49.95 + 4.39 = 54.34
Website B = 47.68 + 6.95 = 54. 63
So website A is cheaper by €0.29
17. Which of the following forces is not a
long-range force?
A) gravitational force
B) friction
() electric force
D) magnetic force
Answers
Answer: D. Magnetic Force
Step-by-step explanation:
The range isn't compatible from a long distance. Only when close to contact.
Answer:
the answer is magnetic force
hope this helps u
HELP ASAP FIRST CORRECT GETS BRAINLIEST
Answers
Answer:
Right
Step-by-step explanation:
Answer: the first one is x less than 468 and the second one is and open circle at 468 and the third one is go left
Step-by-step explanation:
it would be a open circle if it wasnt a line under it and it would move the oppisite which is the left
What’s the missing leg length
Answers
Answer:
a = 80
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 60^2 = 100 ^2
a^2 +3600=10000
Subtract 3600 from each side
a^2 = 10000-3600
a^2 =6400
Take the square root of each side
a = sqrt(6400)
a = 80
What is the IQR (interquartile range) for the following data? 7, 9, 13, 4, 18, 3, 9, 10, 15, 8, 2, 6, 9
Answers
Q3 - Q1 = IQR
11.5 - 5 = 6.5
The IQR is 6.5
The IQR (interquartile range) is mathematically given as
IQR=9
What is the IQR (interquartile range)?
Question Parameters:
Sample data 7, 9, 13, 4, 18, 3, 9, 10, 15, 8, 2, 6, 9
Sample size13
Generally, the equation for the IQR (interquartile range) is mathematically given as
IQR=Q3-Q1
Therefore
IQR=37-28
IQR=9
In conclusion, the IQR (interquartile range) is
IQR=9
Read more about Arithmetic
https://brainly.com/question/22568180
Find the distance between (6, −2) and (1, −2).
Question 14 options:
5 units
6 units
7 units
4 units
Answers
Answer:
5 units
Step-by-step explanation:
the formula is delta y over delta x.
The distance between -2 and -2 is 0
The distance between 6 and 1 is 5
So, it's 5 units.
Hope this helps :)
Find the difference. Write your answer in standard form.
(5x3−3x+6)−(2x2−4x+8)
The difference is _______
Answers
Answer: 5x^3 + x-6
Step-by-step explanation:
What is the correct answer..
Answers
Answer:
64 feet
Step-by-step explanation:
To find the height of the kite we use sin trigonometric ratio.
Let the height of the kite from the ground be x feet.
[tex] \therefore \: \sin 40 \degree = \frac{x}{100} \\ \\ \therefore \: 0.6427876097= \frac{x}{100} \\ \\ \therefore \: 0.6427876097 \times 100= x \\ \\ \therefore \:x = 64.29 \\ \\ \therefore \:x = 64 \: feet[/tex]
Which could be the area of a face of the rectangular prism?
A rectangular prism with a length of 3 meters, width of 4 meters, and height of 2 meters.
5 m2
6 m2
7 m2
9 m2
Answers
Answer:
[tex]6m^{2}[/tex]
Step-by-step explanation:
well we are looking for a face of the rectangular prism.
the front face of the rectangular prism is length times height
which is 3 times 2 = [tex]6^{2}[/tex]
if we did any other face, like the side which is width times height ( 8 meters) it is not one of the answers.
so the only face that can be answers is length times height.
therefore the answer is
6m^2
i rly hope this helps!! :)
Answer:
the answer is B .
Step-by-step explanation:
Which number is divisible by 3?
A 137
B 136
C 138
D 41
Answers
Answer:
C (148)
Step-by-step explanation:
All numbers divisible by 3:
The numbers equal to something divisible by 3
ex:
138=
1+3+8= 12 which is divisible by 3, so 138 is divisible by 3
Answer:
138
Step-by-step explanation:
We know that if the sum of the numbers that make up 138 is divisible by 3, then 138 is divisible by 3. Note: If you divide 138 by 3, you get 46 which is a whole number.
1. A three-dimensional figure that has one vertex and one circular base is known as a:
Answers
Answer:
cone
Step-by-step explanation:
?????HELPPPP PLEASE
Answers
Answer: choices 1 and 4
Step-by-step explanation:
A central angle is the angle that forms when two radii meet at the center of a circle. So the answers are the ones with point D in the middle.
sandra cut her sandwich into 3 equal parts. she ate 1 part for lunch. what fraction of the sandwich did sandra eat for lunch?
Answers
Please mark me Brainliest!! You don’t have to though!!
Solve for m.
-7 + 4m + 10 = 15 -2m
Answers
Answer:
M=2
Step-by-step explanation:
m=2 Make sure to move the terms, then collect the like terms, then subtract, then divide both sides by 6
Answer:
m = 2.
Step-by-step explanation:
-7 + 4m + 10 = 15 - 2m
4m + 2m = 15 + 7 - 10
6m = 12
m = 2.
Please help!!! i attached the problem.
Answers
Answer:
y>7.5
line under inequality sign.
Step-by-step explanation:
which value makes the equation
3x - 6 = 36 true?
a) 10
b)12
c)14
d)16
Answers
Answer:
C) 14
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 6 to both sides:
3x - 6 (+6) = 36 (+6)
3x = 36 + 6
3x = 42
Next, divide 3 from both sides:
(3x)/3 = (42)/3
x = 42/3
x = 14
c) 14 is your answer.
~
need help with this question it’s a mastery grade!
Answers
Drake rolls two fair number cubes.
ANN
1
2
| 3
4
5
6
1
1
2
3
4
5
6
2 3 4 5
2 3 4 5
4 6 8 10
6 9 12 15
8 12 16 20
10 15 20 25
12 18 24 30
6
6
12
18
24
30
36
What is the probability that the product of the two numbers Drake rolls is less than 14? Enter your answer
as a fraction in simplest form
The probability that the product is less than 14 is
Answers
Answer:
23/36
Step-by-step explanation:
In the figure attached, the possible outcomes are shown. We can see that there are 6*6 = 36 total outcomes, 23 of them are less than 14. Then the probability that the product of the two numbers Drake rolls is less than 14 is 23/36
PLEASE HELP I WILL MARK BRAINLIEST
Right to expressions that are equivalent to the expression below.
(9-c) + (9-c) + (9-c) + (9-c)
Answers
Answer:
36-4c
plz mark brainliest
What is the slope of a line that is parallel to the line shown?
Question and options in images below.
Answers
Answer: m= 2/3
Step-by-step explanation:
4/6 simplify into 2/3
