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3 years ago

If 9 : x = x:4, then x =

Mathematics

1 answer:

miskamm [114]3 years ago

5 0

Answer:

x = ±6

Step-by-step explanation:

9 : x = x : 4

Cross multiply

36 = x²

Take the square root of both sidesw

x = ±6

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Find the exact value of each trigonometric function for the given angle θ.

Kay [80]

Answer:

$\sin (240^\circ)=-\dfrac{\sqrt{3}}{2},\cos (240^\circ)=-\dfrac{1}{2},\tan (240^\circ)=\sqrt{3},\cot (240^\circ)=\dfrac{1}{\sqrt{3}},\sec (240^\circ)=-2,\csc (240^\circ)=\dfrac{2}{\sqrt{3}}.$

Step-by-step explanation:

The given angle is 240 degrees.

We need to find the exact value of each trigonometric function for the given angle θ.

Since $\theta=240$ , it means θ lies in 3rd quadrant. In 3d quadrant only tan and cot are positive.

$\sin (240^\circ)=\sin (180^\circ+60^\circ)=-\sin (60^\circ)=-\dfrac{\sqrt{3}}{2}$

$\cos (240^\circ)=\cos (180^\circ+60^\circ)=-\cos (60^\circ)=-\dfrac{1}{2}$

$\tan (240^\circ)=\tan (180^\circ+60^\circ)=\tan (60^\circ)=\sqrt{3}$

$\cot (240^\circ)=\cot (180^\circ+60^\circ)=\cot (60^\circ)=\dfrac{1}{\sqrt{3}}$

$\sec (240^\circ)=\sec (180^\circ+60^\circ)=-\sec (60^\circ)=-2$

$\csc (240^\circ)=\csc (180^\circ+60^\circ)=-\csc (60^\circ)=-\dfrac{2}{\sqrt{3}}$

Therefore, $\sin (240^\circ)=-\dfrac{\sqrt{3}}{2},\cos (240^\circ)=-\dfrac{1}{2},\tan (240^\circ)=\sqrt{3},\cot (240^\circ)=\dfrac{1}{\sqrt{3}},\sec (240^\circ)=-2,\csc (240^\circ)=-\dfrac{2}{\sqrt{3}}.$

8 0

3 years ago

HELP I ONLY HAVE THESE TWO QUESTIONS LEFT!!!!!!! First, How Many cubic blocks of side length 1/6 inch would it take to fill a cu

Ad libitum [116K]

Answer:

1. There are 8 cubic blocks are needed to fill a cube. Explanation in pic

2. 441 cubic blocks will fill the rectangular prism. Explanation in pic

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

There are 120 children there are twice as many boys than girls how many girls are there?

PolarNik [594]

Boys are b
Girls are g

b + g = 120
2g = b

Substitute the second equation into the first

2g + g = 120
3g = 120
g = 40

Plug in g = 40 and solve for b

b + g = 40
b + 40 = 120
b = 80

There are 40 girls and 80 boys.

5 0

3 years ago

Walter is helping to make cookies for a basketball tournament. He's made 15 cookies so far. His coach asked him to make at least

seraphim [82]

Answer: First Option

Walter needs to make at least 5 more cookies but no more than 40

$5 \leq x \leq 40$

Step-by-step explanation:

If we call x the number of cookies that Walter needs to make, then we know that the amount of cookies will be:

$x +15$

Then this amount must be greater than or equal to 20 and must be less than or equal to 55 then.

$x + 15 \geq20$ and $x + 15 \leq55$

This is:

$20 \leq x + 15 \leq 55$

We solve the inequality for x.

$20-15 \leq x + 15-15 \leq 55-15\\\\5 \leq x \leq 40$

Then the amount of cookies that Walter must make must be greater than or equal to 5 and less than or equal to 40

7 0

3 years ago

Read 2 more answers

10 POINTS!!! FULL ANSWER IN STEP BY STEP FORMAT!! ALL PARTS A, B, C, D, E

mihalych1998 [28]

The first thing to do is to get the graph. That's below. That is a very wicked looking graph. I'm not sure what happens at 0. I'm not sure it is continuous at 0. That's something to make a fuss over because x = 0 is one of the x intercepts.

y = - x^(2/5)(x(5/5) + 7).
y = - x^(2/5)(x + 7)
So one of the x intercepts is 0 and the other one is -7.

The reasons are known because the factors can be equated to 0. It does not look to me like there is exact symmetry. There is a local minimum however at what the graph says is (-2,-6.5 or so)
You could differentiate that to find the exact point, but you are not asked for that.

So the domain is from -∞ to zero and 0 to plus ∞ I think you have to exclude 0 even though it is an x intercept.

The graph decreases from -∞ < x < -2
It increases from -2 < x < 0
It decreases form 0< x < ∞

8 0

3 years ago