A rain barrel is a right circular cylinder. If 1ft^3 =7.5 gallons, how many gallons of rainwater can the barrel hold? Use 3.14
Barrel is 1.35ft left to right.... And 5ft top to bottom.

Answers

Answer 1

Answer: Find volume of right circular cylinder
V = pie * r * r * h
= 3.14 * 1.35/2 * 1.35/2 * 5 ft^3
= 7.153 ft^3

Since 1ft^3 = 7.5 gallons
7.153 ft^3 = 7.5 * 7.153 gallons
i.e equal to 53.65 gallons

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Yasmin bought several items at the discount store.She paid 8.75 percent sales tax , an amount of $4.59,on the total amount of her purchase.what was the total amount of her purchase before tax was added

Answers

Answer:

$52.5

Step-by-step explanation:

amount paid in sales tax= 4.59

salex tax= 8.75

if x is the total amount of purchase,

8.75% of x = 4.59

x = 52.5

Answer:

$52.46

Step-by-step explanation:

edge 2023

Which are correct statements regarding proofs? Check all that apply. In a paragraph proof, statements and their justifications are written in sentences in a logical order. A two-column proof consists of a list statements and the reasons the statements are true. A flowchart proof gives a visual representation of the sequence of steps without justifications. A paragraph proof is a two-column proof in sentence form. A two-column proof lists only the given information and what is to be proven. A flowchart proof includes a logical series of statements in boxes with connecting arrows.

Answers

Answer:

In a paragraph proof, statements and their justifications are written in sentences in a logical order.
A two-column proof consists of a list statements and the reasons the statements are true.
A paragraph proof is a two-column proof in sentence form.
A flowchart proof includes a logical series of statements in boxes with connecting arrows.

Step-by-step explanation:

The correct statements regarding proofs are :

In a paragraph proof, statements and their justifications are written in sentences in a logical order.
A two-column proof consists of a list statements and the reasons the statements are true.
A paragraph proof is a two-column proof in sentence form.
A flowchart proof includes a logical series of statements in boxes with connecting arrows.

And these two sentences are wrong statements:

A flowchart proof gives a visual representation of the sequence of steps without justifications.
A two-column proof lists only the given information and what is to be proven

The correct statements regarding proofs are;

A paragraph proof is a kind of written argument in which claims and their supporting evidence are presented in a series of paragraphs.
Statements and their supporting evidence are listed in separate columns in a two-column proof. This is further explained below.
A paragraph proof is a two-column proof in sentence form.
A flowchart proof includes a logical series of statements in boxes with connecting arrows.

What is proof?

Generally, proofs are simply defined as A piece of proof that proves a claim or assertion to be true.

In conclusion, Proofs are based on communicable facts on a subject.

Answers

Answer: The polygons are congruent when they are the mirror image of each other. They are equal in shape and size. They have equal number of sides. All the corresponding sides and corresponding angles are equal. It is different from similar polygons which have same shape but not necessary to have same size.

Congruent means the same so all you need to do is find the pair of polygons that look identical or the same.

A rectangular garden is 6 feet longer than its wide. The perimeter of it is 52 feet. What equation can be used to find the width?

Answers

Answer:

Hi there!

Your answer is;

the equation

(w+6)+(w+6)+(w)+(w) = 52

The width of this rectangle is 10. The length of this rectangle is 16.

Step-by-step explanation:

Rectangular perimeter:

l+l+w+w

l= w+6

w= w

(w+6)+(w+6)+(w)+(w)

4w+12= 52

4w = 40

w= 10

Hopethis helps!

Use the figure shown to complete each of the following questions.1. ∠QTR and ______ are complementary.
a. ∠QTS
b. ∠RTS
c. ∠PTN
d. ∠QT
2. ∠QTN and _____ are supplementary.
a. ∠QTS
b. ∠QTP
c. ∠RTS
d. ∠PTR
3. If ∠PTQ measures 29°, then PTN measures _____.
a. 51º
b. 45º
c. 61º
d. 71º
4. If ∠NTR measures 148°, then ∠RTS measures _____.
a. 12º
b. 32º
c. 22º
d. 42º
5. ∠PTN is adjacent to _____.
a. ∠QTR
b. ∠PTS
c. ∠RTS
d. ∠NTS

Answers

It's difficult to answer questions without picture of the figure. Anyway I've got it, so my answers are:
1. ∠QTR and RTS are complementary.
2. ∠QTN and QTS are supplementary.
3. If ∠PTQ measures 29°, then PTN measures 61.
4. If ∠NTR measures 148°, then ∠RTS measures 148.
5. ∠PTN is adjacent to PTS.

Answer: 4. Is actually 32 degrees. I believe the answer listed was a typo.

Convert the following decimal to a common fraction. Reduce to lowest terms 0.2 = 2/1 0/2 1/2 1/5