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2 years ago

X(x+1)(x+3)(x+5) - x(x+3)(x+5)

Mathematics

1 answer:

mash [69]2 years ago

8 0

Answer:

x^4 + 8x^3 + 15x^2

Step-by-step explanation:

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Given sin theta= 6/11 and sec theta < 0, find cos theta and tan theta.

bekas [8.4K]

Answer: option a.

Step-by-step explanation:

By definition, we know that:

$cos^2(\theta)=1-sen^2(\theta)\\\\tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

Substitute $sin(\theta)=\frac{6}{11}$ into the first equation, solve for the cosine and simplify. Then, you obtain:

$cos(\theta)=\±\sqrt{1-(\frac{6}{11})^2}\\\\cos(\theta)=\±\sqrt{\frac{85}{121}}\\\\ cos(\theta)=\±\frac{\sqrt{85}}{11}$

As $sec\theta$ then $cos\theta$ :

$cos(\theta)=-\frac{\sqrt{85}}{11}$

Now we can find $tan\theta$ :

$tan\theta=\frac{\frac{6}{11}}{-\frac{\sqrt{85}}{11}}\\\\tan\theta=-\frac{6\sqrt{85}}{85}$

4 0

3 years ago

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Which of the following is the MOST resistant to erosion?

GaryK [48]

Answer:

steel

plastic coating paints

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2 years ago

If a = 4 and 5a(2b – 3a) = 40, what is the value of b?

mamaluj [8]

Answer:

b=7

Step-by-step explanation:

5a(2b – 3a) = 40

Let a=4

5*4(2b-3*4) = 40

20(2b-12) = 40

Divide each side by 20

20/20 (2b-12) = 40/20

2b-12 =2

Add 12 to each side

2b-12+12 = 2+12

2b = 14

Divide by 2

2b/2 = 14/2

b = 7

7 0

3 years ago

Below is a square which had a rectangle measuring 4 by 3 cm removed find the area of the shaded part

posledela

What is the area of a circle with radius 7.5

7 0

3 years ago

(-9)-[15divided by 5]^3•6

Aleks04 [339]

Answer:

-171

Step-by-step explanation:

Applying PEMDAS (order of operations),

We open the parenthesis first;

-9 - ( $\frac{15}{5}$ )³ × 6

-9 - 3³ × 6

We work on multiplication next;

-9 - 27 × 6 = -9 - 162

finally we do subtraction to get;

-9 - 162 = -171

3 0

3 years ago