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Julli [10]
2 years ago
7

Which best describes thepolynomial 7xy - 15y^3

Mathematics
1 answer:
otez555 [7]2 years ago
8 0

Answer:

Step-by-step explanThis polynomial has three terms. The first one is 4x2, the second is 6x, and the third is 5. The exponent of the first term is 2. The exponent of the second term is 1

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The height h of the equilateral triangle below is given by y= 5 cot theta where theta = 30 degrees
brilliants [131]
To solve this we can take two different approaches:

1. We can substitute theta by 30° and evaluate our expression using a calculator: 
y=5cot( \alpha )
y=5cot(30)
y=8.7

2. We can use the unitary circle and the fact that cot \alpha = \frac{cos( \alpha }{sin( \alpha )}, so we can rewrite our expression as follows:
y=5cot( \alpha )
y=5 \frac{cos( \alpha )}{sin( \alpha )}
y= \frac{cos(30)}{sin(30)}
From our unitary circle we can check that cos(30)= \frac{ \sqrt{3} }{2} and sin(30)= \frac{1}{2}. 
Lets replace those values in our expression and simplify:
y= \frac{ 5(\frac{ \sqrt{3} }{2})}{ \frac{1}{2} }
y=5 \sqrt{3}
y=8.7

Either way we can conclude that the correct answer is: D)8.7

6 0
2 years ago
A 96-ft high transmission tower casts a 72-ft long shadow. An anchor wire runs from the top of the tower to the tip of the shado
galben [10]
See attached picture and check solution below.
We are given with the following values:
A = length of transmission line = 96ft
B = length of shadow = 72 feet
C = distance of ladder to base of transmission line = 66 feet

Solve for angle created between the wire and tip of the shadow:
tan x = opposite/ adjacent
tan x = 96 feet / 72 feet
x = 53.13°

Solving for the height of the ladder:
tan x = Ladder length / (72-66)
tan 53.13° * (72-66) = ladder length
ladder length = 8 feet

The answer is letter "B" which is 8 feet.


 

5 0
2 years ago
Which binomial is a factor of 49x2 + 84xy + 36y2?
statuscvo [17]

Answer:

A. 7x + 6y

Step-by-step explanation:

49x² + 84xy + 36y²

Factoring the perfect square:

(7x + 6y)²

7x + 6y is a factor.

7 0
2 years ago
Describe how to transform the quantity of the third root of x to the fourth power, to the fifth power into an expression with a
Novosadov [1.4K]

Answer:

x^{\frac{20}{3} }

Step-by-step explanation:

To write: third root of x to the fourth power, to the fifth power into an expression with a rational exponent

Solution:

Exponent refers to the number of times a number is multiplied to itself.

Exponent is sometimes also known as power.

Third roots of x=x^{\frac{1}{3} }

Third root of x to the fourth power(x^{\frac{1}{3} })^4 =x^{\frac{4}{3} }

Third root of x to the fourth power, to the fifth power=(x^{\frac{4}{3} })^5= x^{\frac{20}{3} }

8 0
2 years ago
Cuando un oso grizzly hiberna, su ritmo cardiaco disminuye a 101010 latidos por minuto, que es 20\%20%20, percent de su valor no
zheka24 [161]

Answer:

La frecuencia cardíaca normal de un oso pardo cuando no está hibernando es de 50 latidos por minuto.

Step-by-step explanation:

5 0
2 years ago
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