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exis [7]
3 years ago
13

Will mark brainliest, 60 points

Mathematics
2 answers:
Dominik [7]3 years ago
5 0

Answer:

\boxed{ \bold{ \sf{ \: 1. \:  \:  \:  \:  \: 198}}}

\boxed{ \bold{ \sf{2. \:  \:  \:  \:  \:  - 8}}}

\boxed{ \bold{ \sf{ 3. \:  \:  \:  \:  \: \frac{64}{343} }}}

Step-by-step explanation:

1. Given, u = 20 , x = 4 , y = 7 , z = 10

\sf{ \frac{u}{z}  + x {y}^{2} }

⇒\sf{ \frac{20}{10}  + 4 \times  {7}^{2} }

⇒\sf{ \frac{20}{10}  + 4 \times 49}

⇒\sf{ \frac{20}{10}  + 196}

⇒\sf{ \frac{20 + 196 \times 10}{10} }

⇒\sf{ \frac{20 + 1960}{10} }

⇒\sf{ \frac{1980}{10} }

⇒\sf{198}

2. \sf{4( - 2)}

Multiplying or dividing a positive integer by any negative integer gives a negative integer

= - 8

3. \sf{( \frac{4}{7} ) ^{3} }

⇒\sf{( \frac{ {4}^{3} }{ {7}^{3} } })

⇒\sf{ \frac{4 \times 4 \times 4 }{7 \times 7 \times 7}}

⇒\sf{ \frac{64}{343} }

Hope I helped!

Best regards! :D

o-na [289]3 years ago
3 0

Answer:

\Huge \boxed{\mathrm{18. \ \ \ 198}}  \\\\\\ \Huge \boxed{\mathrm{19. \ \ \ -8}} \\\\\\ \Huge \boxed{\mathrm{20. \ \ \  \frac{64}{343} }}

\rule[225]{225}{2}

Step-by-step explanation:

<h2>18.</h2>

\displaystyle \frac{u}{z} +xy^2

u = 20, x = 4, y = 7, and z = 10.

\Rightarrow \displaystyle \frac{20}{10} +(4)(7)^2

\Rightarrow \displaystyle 2+(4)(49)

\Rightarrow 2+196

\Rightarrow 198

<h2>19.</h2>

4(-2)

Rewriting.

\Rightarrow -(4*2)

Multiplying.

\Rightarrow -8

<h2>20.</h2>

\displaystyle ( \frac{4}{7} )^3

Distributing the cube sign to the numerator and the denominator.

\Rightarrow  \displaystyle \frac{4^3 }{7^3 }

\Rightarrow \displaystyle \frac{64}{343}

\rule[225]{225}{2}

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WARRIOR [948]
Well 287-162=125 so, what numbers also equal the same?
well, lets say you had 469 cookies and only 344 were eaten. how many are left? 125 
So 469-344 is = to 287-162
6 0
3 years ago
1) the cost of a charm bracelet is $12 without the charms. There is an additional cost of $6 for each charm added to the bracele
Hitman42 [59]

The equation that could be used to find how many charms are on a bracelet that costs $96 will be:  12+6c=96  and they can buy 14 charms.

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

The cost of a charm bracelet is $12 without the charms and the additional cost is $6 for each charm.

If the number of charms added to the bracelet is 'c' , then the <u>total additional cost for the charms</u> will be:  \$6c

Given that, the total cost of the bracelet with charms is $96.

So the equation will be:   12+6c=96

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4 0
3 years ago
Help I will be marking brainliest!!!
Keith_Richards [23]
<h3>Answer:  A.  18*sqrt(3)</h3>

=============================================

Explanation:

We'll need the tangent rule

tan(angle) = opposite/adjacent

tan(R) = TH/HR

tan(30) = TH/54

sqrt(3)/3 = TH/54 ... use the unit circle

54*sqrt(3)/3 = TH .... multiply both sides by 54

(54/3)*sqrt(3) = TH

18*sqrt(3) = TH

TH = 18*sqrt(3) which points to <u>choice A</u> as the final answer

----------------------

An alternative method:

Triangle THR is a 30-60-90 triangle.

Let x be the measure of side TH. This side is opposite the smallest angle R = 30, so we consider this the short leg.

The hypotenuse is twice as long as x, so TR = 2x. This only applies to 30-60-90 triangles.

Now use the pythagorean theorem

a^2 + b^2 = c^2

(TH)^2 + (HR)^2 = (TR)^2

(x)^2 + (54)^2 = (2x)^2

x^2 + 2916 = 4x^2

2916 = 4x^2 - x^2

3x^2 = 2916

x^2 = 2916/3

x^2 = 972

x = sqrt(972)

x = sqrt(324*3)

x = sqrt(324)*sqrt(3)

x = 18*sqrt(3) which is the length of TH.

A slightly similar idea is to use the fact that if y is the long leg and x is the short leg, then y = x*sqrt(3). Plug in y = 54 and isolate x and you should get x = 18*sqrt(3). Again, this trick only works for 30-60-90 triangles.

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