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maw [93]
1 year ago
11

Simplify 10 times the square root of quantity 3 x end quantity plus 4 times the square root of quantity 3 x end quantity plus 5

times the square root of quantity 3 x end quantity. 9 times the square root of quantity 3 x end quantity 9 times the square root of quantity 6 x end quantity 19 times the square root of quantity 3 x end quantity 19 times the square root of quantity 9 x cubed
Mathematics
2 answers:
gladu [14]1 year ago
3 0

\\ \rm\dashrightarrow10\sqrt{3x}+4\sqrt{3x}+5\sqrt{3x}+9\sqrt{3x}+9\sqrt{6x}+19\sqrt{3x}+19\sqrt{9x^3}

\\ \rm\dashrightarrow (10+4+5+9+19)\sqrt{3x}+9\sqrt{6x}+19\sqrt{3^2x^2x}

\\ \rm\dashrightarrow 47\sqrt{3x}+9\sqrt{2x}\sqrt{3x}+57x\sqrt{x}

\\ \rm\dashrightarrow (47+9\sqrt{2x})\sqrt{3x}+57x\sqrt{x}

Aloiza [94]1 year ago
3 0

Answer:

19\sqrt{3x}

Step-by-step explanation:

Given expression:

10 \sqrt{3x}+4\sqrt{3x}+5\sqrt{3x}

Given answer options:

  • 9\sqrt{3x}
  • 9\sqrt{6x}
  • 19\sqrt{3x}
  • 19\sqrt{9x^3}

To simplify the given expression, factor out \sqrt{3x}:

\implies 10 \sqrt{3x}+4\sqrt{3x}+5\sqrt{3x}

\implies \sqrt{3x}(10+4+5)

Add the numbers in the parentheses:

\implies \sqrt{3x}(19)

Rearrange to standard form:

\implies 19\sqrt{3x}

Therefore, the answer is the third option.

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PSYCHO15rus [73]

<u><em>Answer:</em></u>

The bird is approximately 9 ft high up in the tree

<u><em>Explanation:</em></u>

The required diagram is shown in the attached image

Note that the tree, the cat and the ground form a right-angled triangle

<u>Therefore, we can apply special trigonometric functions</u>

<u>These functions are as follows:</u>

sin(\alpha)=\frac{opposite}{hypotenuse} \\ \\ cos(\alpha)=\frac{adjacent}{hypotenuse} \\ \\tan(\alpha)=\frac{opposite}{adjacent}

<u>Now, taking a look at our diagram, we can note the following:</u>

α = 25°

The opposite side is the required height (x)

The adjacent side is the distance between the cat and the tree = 20 ft

Therefore, we can use the <u>tan function</u>

<u>This is done as follows:</u>

tan(\alpha)=\frac{opposite}{adjacent}\\ \\ tan(25)=\frac{x}{20}\\ \\x=20tan(25) = 9. 32 ft which is 9 ft approximated to the nearest ft

Hope this helps :)

5 0
3 years ago
I need help with the last one ....please no links or I will report you
Colt1911 [192]

Answer:

x0.046*3=15000

x0.045=5000

x=111111.111111

so you have to deposit 111111.12 every month

5 0
2 years ago
You go out to dinner with 2 friends. The bill was $35.60, and you
const2013 [10]

Answer:

$14.24

Step-by-step explanation:

5 0
2 years ago
Sue has baked 3 different types of circular cake, all measuring 8 inches across. There are equal numbers of coffee cakes and lem
GarryVolchara [31]
1) suppose for purposes of calculation that the cake is inscribed in a square of 8 by 8
the area of 1 cake=8*8=64 in²
the rectangular table area=576 in²-----> I assume square table 24 in x 24 in
576/64= 9----------- > Sue has baked 9 cakes
if just 1 carrot cake
then
(9-1)=8 ---------->  coffee cakes and lemon cakes
we know that equal numbers of coffee cakes and lemon cakes
therefore
coffee cakes=8/2=4
lemon cakes=4
carrot cake=1

the answer part 1) is
the dimensions of the table are 24 in x 24 in

the answer part 2) is
Sue has baked 9 cakes
coffee cakes=4
lemon cakes=4
carrot cake=1

part 3) distribution of the cakes in the table 24  in x 24 in

answer

let
Z------->carrot cake
C------->coffee cakes
L------->lemon cakes

Z-C-L    or      C-L-C             
C-L-C             Z-C-L
L-C-L              C-L-C
   

4 0
3 years ago
Triangle ABC is dilated by a scale factor of 1.5 to form Triangle DEF. Are Triangles ABC and DEF congruent? Why or why not?
Triss [41]

Answer:

Yes, they will be.

Step-by-step explanation:

Congruent means when they are the same shape and same size.

If triangle ABC is dilated to <u><em>form</em></u> triangle DEF, that means that they will have the same shape and the same size.

So yes Triangles ABC and DEF will be congruent to one another because they will be the same shape, and they will have the same size as well.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

6 0
3 years ago
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