Convert radical to exponential 6√(10x)^7 ∛43 √(5x)^5

A boy who is flying a kite lets out 300 feet of string which makes an angle of 60o with the ground. Assuming that the string is

Aleks [24]

<h3>Answer :</h3>

See the attachment for better understanding.

Given : Length of string (AC) = 300ft

To Find : Height of the kite from ground (AB)

$:\implies\sf\:sin60^{\circ}=\dfrac{AB}{AC}$

$:\implies\sf\:\dfrac{\sqrt{3}}{2}=\dfrac{H}{300}$

$:\implies\sf\:H=\dfrac{300\sqrt{3}}{2}$

$:\implies\sf\:H=150\sqrt{3}$

$:\implies\:\boxed{\bf{\red{H\approx 260\:feet}}}$

Hope it helps !

6 0

3 years ago

What is the fully factored form of the expression 45x²y2 + 18x3

Llana [10]

Answer:

9x^2(5y^2 + 2x).

Step-by-step explanation:

First find the Greatest Common Factor of the 2 terms.

GCF of 18 and 45 = 9

GCF of x^2 and x^3 = x^2.

The complete GCF is therefore 9x^2.

So, dividing each term by the GCF, we obtain:

9x^2(5y^2 + 2x).

4 0

2 years ago

Aunt Kendra is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cu

Andreas93 [3]

Answer:

$70

Step-by-step explanation:

Middletown Equation:

1c +50 = T

Sweet Shoppe Equation:

2c + 30 = T

Set equations equal to one another and solve for first for cupcakes then for cost.

1c + 50 = 2c + 30

c+ 20 = 2c

20 = c (twenty cupcakes would be ordered)

Now insert into either equation ( or both to check)

1(20) + 50 = 70

2(20)+ 30 = 70

Total cost would be $70

HOPE THIS HELPS!!!

4 0

2 years ago

the perimeter of a rectangle swimming pool is 486 feet. The width of the pool is 35 feet less than the length. Find the length a

statuscvo [17]

Answer:

Length: 139 feet

Width: 104 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle can be given by $P = 2l + 2w$ . We are given the perimeter of the pool along with the width.

$P = 486$

$w = l - 35$

From here, all we have to do is plug back into the original formula:

$486 = 2l + 2(l - 35)$

Which can be further simplified as:

$486 = 2l + 2l - 70$

$486 = 4l - 70$

From here, all we have to do is add 70 to both sides of the equation and divide by four:

$556 = 4l$

$139 = l$

To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:

$P = 2l + 2w$

$P = 2(139) + 2(104)$

$P = 278 + 208$

$P = 486$

And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.

5 0

3 years ago

Read 2 more answers

Determine the factors of the expression x^2 - 9

Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

The answer is B.

Use the sum-product pattern

2+3−3−9

Common factor from the two pairs

2+3−3−9x2+3x−3x−9

(+3)−3(+3)

Rewrite in factored form

(+3)−3(+3)

Solution:

(−3)(+3)

‘Hope it Helps!

5 0

2 years ago