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snow_tiger [21]
3 years ago
5

What is the simplest form of the quotient 4 square root 810 over 4 square root 2

Mathematics
1 answer:
Len [333]3 years ago
3 0

Answer:

3\sqrt[4]{5}

Step-by-step explanation:

Given: \frac{\sqrt[4]{810} }{\sqrt[4]{2} }

Top and bottom has fourth root. so we take fourth root in common

\sqrt[4]{\frac{810}{2} }

When we divide 810 by 2. we will get 405

\sqrt[4]{405}

Now we simplify the fourth root

405 can be written as 3*3*3*3*5

\sqrt[4]{3*3*3*3*5}

3\sqrt[4]{5}


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All basketballs at a sporting goods store were marked down 25% during the first week of a sale. During the third week, all remai
QveST [7]

Answer:

selling price= $9.9

Step-by-step explanation:

Giving the following information:

During the third week, all remaining basketballs were marked down an additional 30%.

Original price= $22

<u>To calculate the selling price in the third week, we need to use the following formula:</u>

<u></u>

selling price= original price*(1 - markdown)

selling price= 22*(0.45)

selling price= $9.9

4 0
3 years ago
PLLZZZZZZZ HELP!!!!!
Gnoma [55]

The answer is 8 and heres why:

64^{\frac{3}{6}} \\\frac{3}{6}=\frac{1}{2} \\ \\64^{\frac{1}{2}} \\ \\\mathrm{Factor\:the\:number:\:}\:64=8^2 \\\left(8^2\right)^{\frac{1}{2}} \\ \\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc} \\\left(8^2\right)^{\frac{1}{2}}=8^{2\cdot \frac{1}{2}}=8

And that is how you solve this promblem :-)

7 0
3 years ago
1. Angle BAC = 35° and angle BCA = 20°. What is the measure of angle BAD?
Tema [17]

Check the picture below.

7 0
2 years ago
Type the correct answer in each box
Luba_88 [7]

Answer:

We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.

We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :

1 - We first group terms with the same variable :

(x²+8x) + (y²+22y) + 37 = 0

2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)

(x²+8x) + (y²+22y) = - 37

3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.

x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²

y²+22y = (y²+22y+11²)-11² = (y+11)²-11²

4 - We plug the new values inside our equation :

(x+4)² - 4² + (y+22)² - 11² = -37

(x+4)² + (y+22)² = -37+4²+11²

(x+4)²+(y+22)² = 100

5 - We re-write in standard form :

(x-(-4)²)² + (y - (-22))² = 10²

And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)

5 0
3 years ago
Gino's Garden is a rectangle with a length of 12 feet. the area of the garden is 108 square feet. what is the width of Gina's Ga
Zielflug [23.3K]
The answer would be 6 feet I believe. 
6 0
3 years ago
Read 2 more answers
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