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STALIN [3.7K]
3 years ago
13

Simplify: square root of 3^15Whoever answers first, and is correct, gets brainliest​

Mathematics
1 answer:
kakasveta [241]3 years ago
3 0

Answer: 2187√3

Step-by-step explanation:

we break up 3^15 to 3^7 x 3^7 x 3

we take out the 3^7 from the radicand so we get

3^7 √ 3 or 2187 √ 3

hope I helped

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The following list shows the items and prices for a restaurant order. Calculate the total amount if there is an 8% tax and the c
Andreas93 [3]

Answer:

Option B

The total amount is $63.31 if there is an 8% tax and the customer leaves a 20% gratuity.

Step-by-step explanation:

Given:

List of items                           Prices

1 Appetizer                             $8.59

2 Entrees                                $15.99 each

1 dessert                                 $4.69

2 drinks                                   $2.10 each

Total amount for the food order came to, \left ( 1\times \$ 8.59 \right +2\times \$15.99+1\times \$4.69+2\times\$2.10)=\left (\$ 8.59 \right + \$31.98+ \$4.69+\$4.20)=$49.46

Since the restaurant charges 8% as a tax on the total bill.

First, figure out the tax, 8% of $49.46=0.08\times $49.46=$3.9568

Now, figure out the Customer leaves a  gratuity, 20% of $49.46=0.20\times \$49.46=\$9.896

The total amount( including 8% tax and 20% gratuity )=$49.46+$9.896+$3.9568=$63.3128\approx \$63.31


8 0
3 years ago
Read 2 more answers
Jayden and Sheridan both tried to find the missing side of the right triangle. A right triangle is shown. One leg is labeled as
stellarik [79]

Answer:

Sheridan's Work is correct

Step-by-step explanation:

we know that

The lengths side of a right triangle must satisfy the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

where

a and b are the legs

c is the hypotenuse (the greater side)

In this problem

Let

a=7\ cm\\c=13\ cm

substitute

13^{2}=7^{2}+b^{2}

Solve for b

169=49+b^{2}

b^{2}=169-49

b^{2}=120

b=\sqrt{120}\ cm

b=10.95\ cm

we have that

<em>Jayden's Work</em>

a^{2}+b^{2}=c^{2}

a=7\ cm\\b=13\ cm

substitute and solve for c

7^{2}+13^{2}=c^{2}

49+169=c^{2}

218=c^{2}

c=\sqrt{218}\ cm

c=14.76\ cm

Jayden's Work is incorrect, because the missing side is not the hypotenuse of the right triangle

<em>Sheridan's Work</em>

a^{2}+b^{2}=c^{2}

a=7\ cm\\c=13\ cm

substitute

7^{2}+b^{2}=13^{2}

Solve for b

49+b^{2}=169

b^{2}=169-49

b^{2}=120

b=\sqrt{120}\ cm

b=10.95\ cm

therefore

Sheridan's Work is correct

6 0
3 years ago
Read 2 more answers
Rewrite using positive exponents 
Oxana [17]

Answer:

Your selection is appropriate

Step-by-step explanation:

A negative exponent in the numerator is equivalent to a positive exponent in the denominator, and vice versa.

... a⁻² = 1/a²

____

2⁴ multiplies the variable expression no matter which way it is written.

4 0
3 years ago
Find the value of using identities 996^2
Svetlanka [38]

Answer:

992,016

Step-by-step explanation:

{996}^{2}  \\  =  {(1000 - 4)}^{2}  \\  =  {1000}^{2}  - 2 \times 1000 \times 4 +  {4}^{2}  \\  = 1000000 - 8000 + 16 \\  = 1000016 - 8000 \\  = 992,016 \\

5 0
3 years ago
A car is traveling at a speed of 75 km/h. Compute the speed of the car in m/s.
solniwko [45]
It would be C-20.8m/s
3 0
4 years ago
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