Answer:
33.49 cubic inches
Step-by-step explanation:
Step-by-step explanation:
the problem description is incomplete or wrongly copied.
we don't know the thickness of the boards, and we cannot understand what we need to calculate, and what the answer options are.
First find the difference in prices...
475 - 275 = 200 so the price went down 200 dollars. No we need to find what percentage of 475 is 200.
475 × x = 200
x = 200/475
x = .4211
Now convert to percentage by multiplying by 100 (move decimal 2 places to the right)
.4211 = 42.11%
It is a 42.11% price reduction.
<h2>Explanation:</h2>
Let's take a look at all of our options.
A. it is also a square
- A rectangle is NOT <em>always </em>a square because a square has congruent sides, so that means all four of its sides are <em>always </em>equal.
- A rectangle <em>can </em>be a square but it can also not be a square, so therefore A cannot be an option because it is not always true about a rectangle.
B. the sum of its angle measures is 360
- This is true because every quadrilateral's angle measures will add up to 360 degrees, no matter what. This is like how a triangle's angle measures always add up to 180 degrees.
- B is an option because it is an ALWAYS true statement.
C. it has four congruent angles
- A rectangle always has 90 degree angles, giving it its shape.
- Since a rectangle always has the same-degree angles, that means that it DOES have four congruent angles.
- C is also an option because it is always true.
D. it has four congruent sides
- A rectangle does not ALWAYS have four congruent sides. Say for example a rectangle has a longer length than its width.
- A square has four congruent sides, but a rectangle is not always a square, therefore this option is not applicable for a rectangle since it is not always true.
<h2>Answers:</h2>
B and C are always true of a rectangle.
9514 1404 393
Answer:
a. x, x+2, x+4
b. 10 ≤ 3x+6 ≤ 24
c. 6 ft, 8 ft, or 10 ft
Step-by-step explanation:
<u>Given</u>:
- The lengths of the sides of a certain triangle, in feet, are consecutive even integers.
- The perimeter of this triangle is between 10 feet and 24 feet inclusive.
<u>Find</u>:
a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle.
b. Write a compound inequality to model this problem.
c. Solve the inequality. List all possible lengths for the longest side of the triangle.
<u>Solution</u>:
You have let x represent the shortest side. (Note that the question asks for the length of the longest side.)
a. The expressions for side lengths can be x, x+2, x+4 when x is the shortest side.
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b. Here is the compound inequality
10 ≤ x+(x+2)+(x+4) ≤ 24
__
c. Here is the solution
10 ≤ 3x+6 ≤ 24 . . . . collect terms
4 ≤ 3x ≤ 18 . . . . . . . subtract 6
4/3 ≤ x ≤ 6 . . . . . . . . divide by 3
<em>Your working is correct, but incomplete</em>. The values of interest are the even integers x+4.
5 1/3 ≤ x+4 ≤ 10
The longest side may be 6 ft, 8 ft, or 10 ft.
