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Vitek1552 [10]
3 years ago
5

Estimate the square root to the nearest (a) integer and (b) tenth. √-335/2

Mathematics
1 answer:
horrorfan [7]3 years ago
6 0

The answer is i√167.5 i know because i looked it up on the web

i apologize if it is wrong.

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What is the square root of 864
skelet666 [1.2K]

There are two ways to evaluate the square root of 864: using a calculator, and simplifying the root.

The first method is simplifying the root. While this doesn't give you an exact value, it reduces the number inside the root.

Find the prime factorization of 864:

\sqrt{864} = \sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3}

Take any number that is repeated twice in the square root, and move it outside of the root:

\sqrt{864} = \sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3}

\sqrt{2 \cdot 2} = \sqrt{4} = 2

\sqrt{3 \cdot 3} = \sqrt{9} = 3

\sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3} = \sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3}

\sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3} = (2 \cdot 2 \cdot 3) \sqrt{2 \cdot 3} = \boxed{12 \sqrt{6}}

The simplified form of √864 will be 12√6.

The second method is evaluating the root. Using a calculator, we can find the exact value of √864.

Plugged into a calculator and rounded to the nearest hundredths value, √864 is equal to 29.39. Because square roots can be negative or positive when evaluated, this means that √864 is equal to ±29.39.

6 0
3 years ago
If x + 3y = 7 and y = 2, then x equals
Vaselesa [24]
The answer is one . 3 times 2 is 6. And you know 6+1 =7
5 0
3 years ago
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Julies ratio of laps to minutes is 4 to 9. how many laps will Julie run in 36 minutes?
MissTica

Answer: 24 laps

Step-by-step explanation: it’s a ratio, so a fraction. 4/6 = x/36

cross multiply and get 6x = 144

divide by 6 and get x = 24

4 0
3 years ago
The bases of a prism are right triangles with side lengths 6 meters, 8 meters, and 10 meters. The height of the prism is 3 meter
Mariulka [41]
Given:
S1 = 6 m
S2 = 8 m
S3 = 10 m
h = 3 m

Lateral Area Formula :
LA = hP  ; height * perimeter
     = 3m * (6 + 8 + 10)
     = 3m * 24
LA = 72 m² 

Surface Area Formula:
SA = 2B + hP       : B = area of the base  = ab / 2 = (6m * 8m)/2 = 48/2 = 24m²
SA = 2(24m²) + 72m²
SA = 48 m² + 72 m²
SA = 120 m²

6 0
3 years ago
An arithmetic sequence is shown below.
Elena L [17]

Answer:

B. a (n) = -3n + 13

Step-by-step explanation:

Given arithmetic sequence is: 10, 7, 4, 1, -2, ...

Here a = 10, d = 7 - 10 = - 3

a_n = a + (n - 1)d \\  \\ a_n = 10+ (n - 1)( - 3) \\  \\  a_n = 10 - 3n  + 3 \\  \\  \purple{ \bold{a_n =   - 3n  +1 3 }}\\  \\

7 0
3 years ago
Read 2 more answers
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