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Scrat [10]
3 years ago
9

Square root3(square root3+2square root12) simplify it.Answer should be square root 3.

Mathematics
2 answers:
kolezko [41]3 years ago
8 0

Answer:

D

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Given

\sqrt{3} (\sqrt{3} + 2\sqrt{12} ) ← distribute

= 3 + 2\sqrt{36}

= 3 + (2 × 6)

= 3 + 12

= 15 → D

julsineya [31]3 years ago
5 0

Answer:

sqrt3[sqrt3+2sqrt12]=sqrt3[sqrt3+4sqrt3] = sqrt3[5sqrt3= 3x5 =15

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One urn contains one blue ball (labeled B1) and three red balls (labeled R1, R2, and R3). A second urn contains two red balls (R
marusya05 [52]

Answer:

(a) See attachment for tree diagram

(b) 24 possible outcomes

Step-by-step explanation:

Given

Urn\ 1 = \{B_1, R_1, R_2, R_3\}

Urn\ 2 = \{R_4, R_5, B_2, B_3\}

Solving (a): A possibility tree

If urn 1 is selected, the following selection exists:

B_1 \to [R_1, R_2, R_3]; R_1 \to [B_1, R_2, R_3]; R_2 \to [B_1, R_1, R_3]; R_3 \to [B_1, R_1, R_2]

If urn 2 is selected, the following selection exists:

B_2 \to [B_3, R_4, R_5]; B_3 \to [B_2, R_4, R_5]; R_4 \to [B_2, B_3, R_5]; R_5 \to [B_2, B_3, R_4]

<em>See attachment for possibility tree</em>

Solving (b): The total number of outcome

<u>For urn 1</u>

There are 4 balls in urn 1

n = \{B_1,R_1,R_2,R_3\}

Each of the balls has 3 subsets. i.e.

B_1 \to [R_1, R_2, R_3]; R_1 \to [B_1, R_2, R_3]; R_2 \to [B_1, R_1, R_3]; R_3 \to [B_1, R_1, R_2]

So, the selection is:

Urn\ 1 = 4 * 3

Urn\ 1 = 12

<u>For urn 2</u>

There are 4 balls in urn 2

n = \{B_2,B_3,R_4,R_5\}

Each of the balls has 3 subsets. i.e.

B_2 \to [B_3, R_4, R_5]; B_3 \to [B_2, R_4, R_5]; R_4 \to [B_2, B_3, R_5]; R_5 \to [B_2, B_3, R_4]

So, the selection is:

Urn\ 2 = 4 * 3

Urn\ 2 = 12

Total number of outcomes is:

Total = Urn\ 1 + Urn\ 2

Total = 12 + 12

Total = 24

5 0
3 years ago
You read 50 pages in an hour. Your sister reads 40 pages in an hour. Explain how to find out how many more pages you read than y
devlian [24]
Since 1/2 is equal to a half, you divide 50 and 40 by 2 and you'll get 25 and 20 and then you subtract 25 and 20 and you get 5 which is the answer!
6 0
3 years ago
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Find the measure of the acute angles pls help
tangare [24]

Answer:

60 degrees

and

52 degrees

6 0
3 years ago
-3 &lt; 5c + 7 &lt; 22<br> algebra
Alexus [3.1K]

Answer:=

Solution: -2<c<3

Interval Notation: (-2,3)

Step-by-step explanation:

-3<5c+7<22

-3<5c+7  :  c>-2

5c+7<22 : c<3

combine the intervals

c>-2 and c<3

-2<c<3

8 0
3 years ago
A cylinder and a cone each have a radius of 3 in. and a height of 8 in. What is the ratio of the volume of the cone to the volum
a_sh-v [17]
I think for this answer it would be the third option. This is because to find the volume of both figures, the formula would be v=bh. they both have the same formulas and are both in proportion to each other. once you calculate the volume you will come to find that the answer is the same. this would make it 1 to 1
5 0
3 years ago
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