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3 years ago

What is the quotient and remainder for 24÷4?

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

4 0

<span>24÷4 = 6

</span><span>quotient = 6
</span>remainder = 0 ( no <span>remainder <span>)</span></span>

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Cos(x)= sin(35) what does x =?

mylen [45]

Here,

cos(x) = sin(35)
cos(x) = cos(90-55)
cos(x) = cos(55)
x = 55

3 0

3 years ago

Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar. How much soy sauce doe

natali 33 [55]

First step

You must stablish a relation

150 ml sauce/100 ml vinegar

If 100 ml vinegar_______150ml sauce then 11 ml vinegar ____x ml sauce

Second step

You must resolve x from the equation

X= (11ml vinegar*150 ml soya)/(100 ml vinegar)= 16.5 ml sauce, it means that it will be 16,5 ml sauce by every 11 ml of vinegar

5 0

4 years ago

Read 2 more answers

Round 69581.491337 to the nearest thousand.

Anika [276]

Answer:

7000

Step-by-step explanation:

lets start with 695

9 is the thousand

you check the number next to 9

less then 4 let it rest

more than 5 let it soar

something like that lol

anyways since 5 is next to the 9 we round up from 9 to the next number which is 10

so that changes the whole number to 7000

hope this makes sense!

3 0

3 years ago

Please Help. I really don’t get this concept, if you could explain it in detail it would be very appreciated

Dafna11 [192]

<h3>Answer: 24/25</h3>

=================================================

Explanation:

Sine is given to be negative, and so is tangent. This only happens in quadrant Q4

Recall that y = sin(theta), so if sin(theta) < 0, then we're below the x axis.

If tan(theta) < 0, then this means cos(theta) > 0

So we have y < 0 and x > 0 which places the angle somewhere in Q4.

--------------------------

Draw a right triangle as shown below in the attached image. We have AC = 25 and BC = 7. Use the pythagorean theorem to find that AB = 24

So this is what your steps may look like

a^2+b^2 = c^2

7^2+b^2 = 25^2

b^2+49 = 625

b^2 = 625-49

b^2 = 576

b = sqrt(576)

b = 24

So because AB = 24, we know that the cosine of the angle is adjacent/hypotenuse = 24/25

---------------------------

As an alternative, you could use the trig identity

sin^2(x) + cos^2(x) = 1

and plug in the given value of sine to solve for cosine. The cosine value result will be positive since we're in Q4.

So,

sin^2(x) + cos^2(x) = 1

(-7/25)^2 + cos^2(x) = 1

(49/625) + cos^2(x) = 1

cos^2(x) = 1 - (49/625)

cos^2(x) = (625/625) - (49/625)

cos^2(x) = (625-49)/625

cos^2(x) = 576/625

cos(x) = sqrt(576/625)

cos(x) = sqrt(576)/sqrt(625)

cos(x) = 24/25

This is effectively a rephrasing of the previous section since the pythagorean trig identity is more or less the pythagorean theorem (just in a trig form)

6 0

4 years ago

HELP PLEASE !!!!!!!!!!

Arada [10]

Answer:

Answer B $(-\infty,1)U(1,2]$

Step-by-step explanation:

Notice that the quotient of f(x)/g(x) is:

$h(x)=\frac{\sqrt{2-x} }{x-1}$

therefore, this new function imposes conditions due to the fact that it has a square root in the numerator and a binomial in the denominator both with the variable x. Then, in order for the root in the numerator to be defined, the argument inside the root must be larger than or equal to zero. That is:

$2-x\geq 0\\2\geq x\\x\leq 2$

So, this condition must be satisfied by the x-values of the domain.

Then we have the binomial in the denominator, which in order to be defined needs to be different from zero. Notice that the only x-value that could cause problems (render zero) is:

$x-1=0\\x=1$

Then, $x\neq 1$

So we have to eliminate the number 1 from the previous subset that required x smaller than or equal to 2.

The way to represent this Domain is then: $(-\infty,1)U(1,2]$

8 0

3 years ago