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4 years ago

Can someone explain to me how to do this question? It needs to be simplified and no decimals or fractions.

Mathematics

1 answer:

Masteriza [31]4 years ago

5 0

$\sqrt{180} - \sqrt{45 } \\ = \sqrt{2 \times 2 \times 3 \times 3 \times 5} - \sqrt{3 \times 3 \times 5 } \\$

Taking common

$\sqrt{3 \times 3 \times 5} ( \sqrt{4} - 1) \\ = 3 \sqrt{5} (2 - 1) \\ = 3 \sqrt{5}$

Hope it helps mate

Mark Brainliest pls

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For each of the following sequences, • Give a formula for the nth term in the sequence, • Give a recursive definition for the se

Andrew [12]

Answer:

(a) $n^{th} = n$

$f(1) = 1$

$f(n) = f(n-1) + 1$

(b) $n^{th} = 2^{n-1}$

$f(1) = 1$

$f(n) = f(n-1) * 2$

$f(1) = 1$

$f(n) = f(n-1) * n$

Step-by-step explanation:

(a) This is a sequence of consecutive number

$n^{th} = n$

$f(1) = 1$

$f(n) = f(n-1) + 1$

(b) This is a sequence of 2 to the power of n - 1. The next number is twice time of this number

$n^{th} = 2^{n-1}$

$f(1) = 1$

$f(n) = f(n-1) * 2$

$n^{th} = n!$

$f(1) = 1$

$f(n) = f(n-1) * n$

5 0

3 years ago

Help me with number 2 plss people

RSB [31]

Answer:

3/8

Step-by-step explanation:

1/2 of a yard is 4/8 of a yard, so you can subtract 7-4 to get 3/8 of a yard.

7 0

3 years ago

Find the distance between -0.5 and 1.5

stepladder [879]

Answer:

2.0

Step-by-step explanation:

Subtract the smaller number from the larger to find their difference:

1.5 -(-0.5) = 2.0

The distance between the given values is 2.0.

5 0

3 years ago

1) Mark has only used 8.5% of a 34-oz bottle of shampoo. How many ounces has he used?

marshall27 [118]

Answer:

2.89-oz of shampoo

Step-by-step explanation:

8.5% of a 34-oz

= 8.5/100 x 34-oz

= 0.085 x 34-oz

= 2.89-oz

8 0

3 years ago

At a certain time in the afternoon a light pole casts a shadow that us 11 ft 9 in long. At the same time, a woman of height 4 ft

il63 [147K]

We have similar triangles so

$\dfrac{4'6"}{18"} = \dfrac{x}{11'9"}$

$x= \dfrac{ (12(11)+9 )(12(4)+6) }{18 } = 423 \textrm{ inches}$

Answer: 35' 3"

5 0

4 years ago