What is the correct length and width for the rectangle?
Answers
Answer:
Length = 14
Width = 7
Step-by-step explanation:
Length of a rectangle is twice its width.
let, the width be x, so the length becomes 2x
now the perimeter is 42, and we know the formula to find the perimeter is 2(length+width)
so, 2(2x+x)=42
or, 2×3x=42
or, 6x=42
or, x=7
so the width is 7 and the length is, 2×7 = 14
Answered by GAUTHMATH
Related Questions
1. The main show tank has a radius of 70 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of the pool is flat. (Imagine cutting a sphere in half vertically and then cutting it in half horizontally.) What is the volume of the quarter-sphere shaped tank? Round your answer to the nearest whole number. You must explain your answer using words, and you must show all work and calculations to receive credit.2. The holding tanks are congruent. Each is in the shape of a cylinder that has been cut in half vertically. The bottom of each tank is a curved surface and the top of the pool is a flat surface. What is the volume of both tanks if the radius of tank #1 is 35 feet and the height of tank #2 is 120 feet? You must explain your answer using words, and you must show all work and calculations to receive credit.3. The company is building a scale model of the theater’s main show tank for an investor's presentation. Each dimension will be made one sixth of the original dimension to accommodate the mock-up in the presentation room. What is the volume of the smaller mock-up tank?Using the information from #3, answer the following question by filling in the blank: The volume of the original main show tank is ____% of the mock-up of the tank.
Please help me with question 10 (i). Thanks!
What is the slope of a line that passes through (–4,–13) and (19,11)?a. 23/24 b. 24/23 c. -23/24 d. - 24/23
Find the are of a triangle (picture provided)
Answers
Answer:
Step-by-step explanation:
20:
The sum of y and 3
Answers
7) 12, 7, 2, -3,...
Answers
Answer:
Let's find the recursive formula, explicit formula, and the indicated term for the given arithmetic sequences.
Sequence 1: 1, 4, 1, 10, ...
To find the recursive formula, we need to identify the pattern between consecutive terms. Looking at the sequence, we can see that each term alternates between adding 3 and subtracting 3.
Recursive formula:
a1 = 1 (the first term)
an = an-1 + (-1)^(n+1) * 3
For example, to find the 4th term (a4) using the recursive formula:
a1 = 1 (the first term)
a2 = a1 + (-1)^(2+1) * 3 = 1 + (-1) * 3 = -2
a3 = a2 + (-1)^(3+1) * 3 = -2 + 1 * 3 = 1
a4 = a3 + (-1)^(4+1) * 3 = 1 + (-1) * 3 = -2
Explicit formula:
To find the explicit formula, we need to identify the common difference. In this case, since the terms alternate between adding 3 and subtracting 3, the common difference is not constant.
Indicated term:
To find the indicated term, we need to know which term is being referred to. Please provide the term number or the position of the term in the sequence so that I can assist you further.
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Sequence 2: 12, 7, 2, -3, ...
To find the recursive formula, we need to identify the pattern between consecutive terms. Looking at the sequence, we can see that each term decreases by 5.
Recursive formula:
a1 = 12 (the first term)
an = an-1 - 5
For example, to find the 4th term (a4) using the recursive formula:
a1 = 12 (the first term)
a2 = a1 - 5 = 12 - 5 = 7
a3 = a2 - 5 = 7 - 5 = 2
a4 = a3 - 5 = 2 - 5 = -3
Explicit formula:
To find the explicit formula, we need to identify the common difference. In this case, the common difference is -5.
Explicit formula:
an = 12 + (n - 1)(-5)
Indicated term:
To find the indicated term, we need to know which term is being referred to. Please provide the term number or the position of the term in the sequence so that I can assist you further.
Please provide the term number or the position of the term in the sequence so that I can help you find the indicated term.
Step-by-step explanation:
B. y = 2x - 6
C. y = 2x + 6
D. y = -2x - 6
Answers
(0,6) and (2,10)
a) y = -2x + 6 ; y = -2(2) + 6
y = -2(0) + 6 ; y = -4 + 6
y = 6 ; y = 2
b) y = 2x - 6
y = 2(0) - 6
y = -6
c) y = 2x + 6 ; y = 2(2) + 6
y = 2(0) + 6 ; y = 4 + 6
y = 6 ; y = 10 Choice C. is the correct equation.
Answer: option c!
Step-by-step explanation:
Answers
For this case the generic equation of the line is given by:
y = mx + b
Where,
m: slope of the line
b: intersection with the y axis.
To graph a line it is necessary to know the values of m and b.
Answer:
y = mx + b
You need to know m and b to graph the function completely.
For this reason, someone would choose to use the y-intercept and the slope
Therefore, if someone had a line that was in slope intercept form, then they would probably choose to use the y intercept and slope to graph that line.