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3 years ago

Write and solve an equation to find the width w of the rectangle. Explain how you know what units to use with the answer

Mathematics

1 answer:

Daniel [21]3 years ago

5 0

L times width time height
2times6times6

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Giant tortoises move very slowly. They can travel a distance of about 0.17 mile in 1hour. If it travels at the same speed, how f

ELEN [110]

0.17 in 1 hour
0.34 in 2 hours
0.51 in 3 hours
0.68 in 4 hours

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3 years ago

Find the first term and common difference of an AP, whose 7th term is 29/6 and 15th term is 11/2.

777dan777 [17]

Answer:

The first term is 13/3 and the common difference is d = 1/12

The formula is a(n) = 13/3 + (1/12)(n - 1)

Step-by-step explanation:

The general equation for an arithmetic progression is:

a(n) = a(1) + d(n - 1), where d is the common difference/

Case 1: n = 7: 29/6 = a(1) + d(7 - 1), or 29/6 = a(1) + d(6)

Case 2: n = 15: 11/2 = a(1) + d(15 - 1) = a(1) + d(14)

Then our system of linear equations is:

a(1) + 6d = 29/6

a(1) + 14d = 11/2

Let's solve this by elimination by addition and subtraction. Subtract the first equation from the second. We get:

Substituting 1/12 for d in the first equation, we get:

a(1) + 14(1/12) = 11/2 or 66/12 (using the LCD 12)

Then a(1) = 66/12 - 14/12 = 52/12 = 13/3

The first term is 13/3 and the common difference is d = 1/12

The arithmetic sequence formula for this problem is thus:

a(n) = 13/3 + (1/12)(n - 1) 8

5 0

3 years ago

Two sides of a triangle measure 9 centimeters and 37 centimeters what could the length of the third triangle?

STALIN [3.7K]

Step-by-step explanation:

One side of a triangle is 9 cm and other side is 37 cm. We need to find what could be the length of the third side of the triangle.

If we add one and other side i.e. 9 cm + 37 cm = 46 cm

If we subtract one and other side i.e. 37 cm - 9 cm = 28 cm

We know that, the length of the third side must be less than the sum of the other two sides and greater than the difference between the other two sides.

Thus, the third side could be between 46 cm and 28 cm.

4 0

3 years ago

Calculate the number of ways that the coach can assign the 4 positions to his 16 players.

Natali5045456 [20]

The number of ways that the coach can assign the 4 positions to his 16 players would be 43, 680 ways

<h3>How to calculate the permutation</h3>

The formula for permutation is given as;

Permutation = $\frac{n!}{(n - r)!}$

n = 16

r =4

Permutation = $\frac{16!}{12!}$

Permutation = $\frac{16 *15*14*13*12*11*10*9*8*7*6*5*4*3*2*1}{12*11*10*9*8*7*6*5*4*3*2*1}$

Permutation = 43, 680 ways

Thus, the number of ways that the coach can assign the 4 positions to his 16 players would be 43, 680 ways

Learn more about permutation here:

brainly.com/question/12468032

#SPJ1

8 0

2 years ago

What is the difference between math grade 8 and algebra 1?

Phoenix [80]

Algebra 1 is a high school course. You learn some of the same things but in algebra it's more complicated.

7 0

3 years ago