A cross section obtained by cutting a right rectangular prism with a square base parallel to its base will also be a C. square, as it reflects the shape of the prism's base.
The question is asking about the shape of a cross section obtained by cutting a right rectangular prism with a square base parallel to its base. Such a cut would expose a shape on the surface of the prism that directly corresponds to the shape of the base. Since the base is given as a square, the cross section in this case would also be a square. The hypothesis of the right angle implies that the sides of the prism are perpendicular to the base, thereby maintaining the square shape upon slicing parallel to the base.
The cross section would not be a triangle (option A) or a trapezoid (option B), as these shapes do not correspond to a square base. It would not be a rectangle that is not a square (option D), because the length and width of the cross section would be the same, maintaining its square shape. Therefore, the correct answer is option C - a square.
Plot and connect the points A(4, 6), B(4, 0), C(1, -3), and D(1, 3), and find the area of the parallelogram formed.
Answer:
Step-by-step explanation:
i just did this it is 18
Which of the following situations most likely result in a negative correlation when the data is displayed on a scatterplot?
A rectangle with opposite sides that are not congruent
what is (3x-4)^2 in expanded form
The expanded form of the given mathematical expression is [tex]3x^2 -24 +16[/tex].
Given the following expression:
[tex](3x-4)^2[/tex]To write this mathematical expression in an expanded form:
In this exercise, you're required to write the given mathematical expression in an expanded form. Thus, we would expand the expression by applying the perfect-square trinomial.
The perfect-square trinomial.Mathematically, the perfect-square trinomial is given by this mathematical expression:
[tex](a+b)^2=a^2+2ab +b^2[/tex]
Comparing the expressions, we have:
a = 3xb = -4Substituting the values, we have:
[tex](3x-4)^2=3x^2+2(3)(-4) +(-4)^2\\\\(3x-4)^2=3x^2-24 +16[/tex]
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use the graph of y=sin0 to find the value of sin 0 for each value of 0 270°. answers -0.4, -0.8, -0.6, -1 please help ASAP
what is the radius of a circle with a circumference 31 m?
Answer: 62 pi m.
Step-by-step explanation: To find the area of the circle shown, let’s start by writing down the formula for a circle.
Find the unknown. = (65 × 3) + 9
Which is the simplified form of the expression (2^-2) (3^4)^-3 x (2^-3) (3^2) ^2?
A: 1/ 2^36 3^48
B: 1/ 3^8
C: 3^8
D:2^36 3^48
The answer is D
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A pet store had 4 cats to feed. If they only had one fifth of a bag of cat food and each cat got the same amount, what fraction of the bag would each cat get?
BRAINLIEST if correct
Does the median or mean better represent the data? And why? {20,28,35,40,132}
Kamila has two number cubes each labeled 1 to 6. She is going to conduct an experiment by tossing both cubes a total of 150 times. She will find the sum of the two numbers in each role
a. Possible outcomes? __________
b. Probability of tossing a sum of six? _________
c. How many times should Kamila toss a sum of 7? _________
d. How many times should Kamila toss a sum of 10 or greater? _______
Answer:
Step-by-step explanation:
a) When two number cubes are thrown possible outcomes are
[tex]6x6 =36[/tex]
b) Probability of tossing a sum of 6
Favourable outcomes = (1,5)(5,1)(2,4) (4,2) (3,3)
Hence probability =[tex]\frac{5}{36}[/tex]
c) For getting 7 favourable outcomes are
(1,6)(2,5)(3,4)(4,3)(5,2)(6,1)
i.e one out of 6 chances.
Hence in 150 times Kamala should toss a sum of 7 --- [tex]\frac{1}{6} *150 =25[/tex]
d) Favourable outcomes for sum of 10 or greater
= (4,6) (6,4) (5,5) (5,6)(6,5)(6,6)
Probability for getting sum of 10 or greater = [tex]\frac{6}{36} =\frac{1}{6}[/tex]
No of times Kamila should toss 10 or greater
= [tex]\frac{150}{6} =25[/tex]
How do you find the area of this compound shape?
A fisherman borrowed 85,000 over 25 years at 13.5% p.a. interest compounded monthly. At the end of the seventh year, interest rate climbed to 15% p.a. compound and fisherman's repayments were increased to allow him to complete the repayments by the end of 25 years term.
a. how much did the fisherman owe at the end of the first 7 years?
b. what were his monthly repayments for remaining 18 years?
c. how much interests in total did the fisherman pay at the end of the 25 years long.
Rewrite this logarithm as a subtraction of logs
Log4(13/37)
The median of a set of three numbers is x. there at least three numbers in the set. Write an algebraic expression, in terms of x, to represent the median of the new set of numbers obtained by
a. adding 1/8 to every number in the set
b. subtracting 9 1/4 from every number in the set
c. multiplying -5.8 to every number in the set and then adding 3 to the resulting numbers
d. dividing every number in the set by 0.5 and then subtracting 1 from the resulting numbers
e. adding 7.2 to the greatest number in the set
f. subtracting 4.2 from the least number in the set
The area of the base of the regular quadrilateral pyramid is 36 cm2 and the area of a lateral face is 48 cm2. Find: Surface area of the pyramid
Answer:
228
Step-by-step explanation:
When and why does order matter
A kennel has 100 dogs in total, some are puppies and some are adult dogs. the ratio of puppies to adults in a kennel is 1:4 how many puppies are there
The number of puppies in the kennel is 20, given that the ratio of puppies to adult dogs is 1:4 out of a total of 100 dogs.
Explanation:In the given scenario, the number of dogs in the kennel is 100, and the ratio of puppies to adult dogs is 1:4. This means that for every one puppy, there are four adult dogs. Therefore, the total number of sections we have is 1 (for puppies) + 4 (for adult dogs), which equals 5. To find out how many puppies there are, we divide the total number of dogs by the total sections, and multiply by the number of sections for puppies. Therefore, the calculation would be as follows:
Divide the total number of dogs (100) by the total sections (5):
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plz help 1:There are 15 people in a book club. Ten people read for an average of 65 minutes each day. The remaining people read for an average of 35 minutes each day.
What was the average reading time for the entire book club each day?
Enter your answer in the box.
2:At the karate school, Class A has 8 students with an average age of 6 years. Class B has 12 students with an average age of 9 years. The classes combine for a group workout.
What is the average age of the combined classes?
Enter your answer as a decimal in the box.
3:Last year the sales at a bookstore were 75% fiction books, and 25% nonfiction books.
The average cost of a fiction book was $15. The average cost of a nonfiction book was $16.
What was the average cost of all fiction and non-fiction books sold at the bookstore last year?
Enter your answer as a decimal in the box.
4: At a tennis event, 10% of
Please Help Me With these questions!
There are 24 students 8 of the students are boys write the amount of boys in the class as a fraction in its simplest form
Ellie is a 45-year-old woman who has not yet planned for retirement. She would like to retire at age 67. Answer each question using complete sentences.
Part I: In what type of investments should Ellie deposit her money? Why?
Part II: At what age, or point in your life, would you like to start saving for retirement?
Part III: In what type of investments would you like to deposit your money into when you start saving for retirement? Why?
Identifying the Factored Form of a Trinomial Which expression is the factored form of x2 – 7x + 10?
T + 7 = 25
Y - 8 = -8
16 + x = 21
21 = 4 + p
Show your work ! .
I need these all questions is for a grade
PLEASE HELP ASAP I GIVE BRAINLIESTS!!!!!!
Ana helped her mom this weekend. She earned $25. On Monday she purchased snacks for herself and her friends and spent $6.50. On Tuesday she purchased comic books and a flashlight at Target for $15.25. She then purchased a drink for $3.25.
How much money does she have left? Explain.
Lori is buying a roll of wrapping paper. There are 10 birthday designs, 6 holiday designs, 3 wedding designs, and 5 baby designs. How many ways can Lori choose a roll of wrapping paper? A. 900 B. 300 C. 34 D. 24
Answer:
D. 24
Step-by-step explanation:
10 + 6 + 3 + 5 = 24
Answer:
24
Step-by-step explanation:
simplify the imaginary number (square root symbol) -8
A mirror frame in the shape of an oval is shown below. The ends of the frame form semicircles: An oval is formed by a rectangle with semicircles at each end. The length of the rectangle is 54 inches. The width of the rectangle is 27 inches. Which of the following is the perimeter of the inner edge of the frame? (π = 3.14) 192.78 inches 246.78 inches 277.56 inches 331.56 inches
Answer:
The answer is 192.78 inches
Step-by-step explanation:
An oval is formed by a rectangle with semicircles at each end. We can visualize this easily.
The length of the rectangle is 54 inches.
The width of the rectangle is 27 inches.
The perimeter of rectangle is = [tex]2(L+W)[/tex]
= [tex]2(54+27)[/tex]
= 162 inches
And because there are two semicircles, we can combine them to form a circle. So, perimeter of a circle is called a circumference.
The width of the rectangle forms the diameter, so its half will be the radius.
r = [tex]\frac{27}{2}=13.5[/tex]
The circumference is given by : [tex]2\pi r[/tex]
= [tex]2\times3.14\times13.5=84.78[/tex] inches
Now as the described oval shape is a complete figure without lines inside, we will subtract the width of both sides of the rectangle from the complete perimeter.
The complete perimeter is = [tex]162+84.78=246.78[/tex] inches
The inner edge perimeter will be = [tex]246.68-2(27)[/tex] = 192.78 inches