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2 years ago

The sum is not divisible by 5 and not divisible by 6.

Mathematics

1 answer:

PilotLPTM [1.2K]2 years ago

5 0

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90 POINTS PLEASE HELP

11111nata11111 [884]

$sin\alpha = - 0.8$

<u>Step-by-step explanation:</u>

We have , $cos\alpha = \frac{3}{5}$ , where $\alpha$ is located in IV quadrant! Let's find out value of $sin\alpha$ :

$sin\alpha = \sqrt{1-(cos\alpha )^2$

⇒ $sin\alpha = \sqrt{1-(cos\alpha )^2$

⇒ $sin\alpha = \sqrt{1-(\frac{3}{5} )^2$

⇒ $sin\alpha = \sqrt{1-(\frac{9}{25} )$

⇒ $sin\alpha = \sqrt{(\frac{25-9}{25} )$

⇒ $sin\alpha = \sqrt{(\frac{16}{25} )$

⇒ $sin\alpha = \pm {(\frac{4}{5} )$

Value of $sin\alpha$ is dependent on which quadrant it is . Since, in question it's given that $\alpha$ is located in IV quadrant , So $sin\alpha$ is negative i.e.

⇒ $sin\alpha = - {(\frac{4}{5} )$

⇒ $sin\alpha = - 0.8$

Therefore, $sin\alpha = - 0.8$ .

4 0

2 years ago

Read 2 more answers

Jeremy wants to know the density of a rock in grams per cubic centimeter. The rock has a mass of 1.08 kilograms and a volume of

baherus [9]

Let's convert the units first.

1.08 kg * (1000 g)/(1 kg) = 1008 g

density = mass/volume

density = 1008 g / 400 cm^3

density = 2.52 g/cm^3

Answer: 2.52 g/cm^3

6 0

2 years ago

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For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts

Irina18 [472]

we are given

$y=3x^2+7x+m$

To find x-intercept means we have to find zeros

and for finding zeros , we will use quadratic formula

and we have it has two x-intercepts

so, it's discriminant must be greater than 0

so, we will find discriminant

$D=\sqrt{b^2-4ac}$

now, we can compare with

$y=ax^2+bx+c$

$y=3x^2+7x+m$

and then we can find a , b and c

$a=3,b=7,c=m$

now, we can find D

$D=\sqrt{7^2-4*3*m}$

$D=\sqrt{49-12m}$

It has two x-intercepts

so,

$D=\sqrt{49-12m}>0$

now, we can solve for m

$49-12m>0$

$12m$

$m$ ............Answer

8 0

2 years ago

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A construction worker drops a hammer while building the Grand Canyon skywalk 4,000ft above the Colorado River. Use the formula t

yan [13]

Answer:

15.8

Step-by-step explanation:

We are asked to find how many seconds it takes for an object to fall from a height of 4,000ft. We will use the given formula, t=h−−√4. Substituting h=4,000, we find

t=4000−−−−√4=15.8

So, the hammer reaches the river after 15.8 seconds.

7 0

2 years ago

Which of the following illustrates the truth value of the given conditional statement?

bazaltina [42]

Given p: 10 < 7, clearly p is false and ~p is true. Also, given q: 10 < 5, clearly q is false and ~q is true.

Thus, the truth value of the conditional statement ~p → ~q is <span>T T → T.</span>

6 0

2 years ago