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3 years ago

The value of x on the triangle

Mathematics

1 answer:

Marianna [84]3 years ago

3 0

X would equal 10.4 hehehe

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Consider the following statement. If r is any rational number and s is any irrational number, then r s is irrational. (a) Which

olganol [36]

Answer:

(a) If r is any rational number and s is any irrational number, then r/s is rational

(b) The statement is false when r is 0

Step-by-step explanation:

Given

$r \to$ rational number

$s \to$ irrational number

$\frac{r}{s} \to$ irrational number

Solving (a): The negation

To get the negation of a statement, we only need to negate the end result

In other words, the number type of r and s will remain the same, but r/s will be negated.

So, the negation is:

$r \to$ rational number

$s \to$ irrational number

$\frac{r}{s} \to$ rational number

Solving (b): When r/s is irrational is false

Given that:

$\frac{r}{s} \to$ irrational number

Set r to 0

So:

$\frac{r}{s} = \frac{0}{s}$

$\frac{r}{s} = 0$ -- rational

<em>Hence, the statement is false when r is 0</em>

8 0

2 years ago

A mixture requires 4 cups of water for every 7 cups of flour used. Use the ratio table to determine how many cups of water shoul

mr Goodwill [35]

Answer:

16 cups of water

Step-by-step explanation:

You find this by dividing 28 by your ratio of flour to get 4, then multiplying the cups of water, 4, by 4 to get 16 cups of water

4 0

3 years ago

Trapezoid ABCD and trapezoid JKLM are similar. What side corresponds to side BC? Side LM Side KL Side JK Side KJ

astraxan [27]

Answer: JK

Step-by-step explanation:

3 0

3 years ago

Find the angle between the vectors u=i-9j and v=8i+5j

Katyanochek1 [597]

Answer: $\cos^{-1} \left(\frac{-37}{\sqrt{7298}} \right) \approx 115.665^{\circ}$

Step-by-step explanation:

$u \cdot v=(1)(8)+(-9)(5)=-37\\\\|u|=\sqrt{1^{2}+(-9)^{2}}=\sqrt{82}\\\\|v|=\sqrt{8^{2}+5^{2}}=\sqrt{89}\\\\\cos \theta=\frac{-37}{\sqrt{82}\sqrt{89}}\\\\\theta=\cos^{-1} \left(\frac{-37}{\sqrt{82}\sqrt{89}} \right)\\\\\theta=\boxed{\cos^{-1} \left(\frac{-37}{\sqrt{7298}} \right) \approx 115.665^{\circ}}$

7 0

2 years ago

Find the slope of the line 2x-4y=2

FrozenT [24]

Get y by itself so subtract 2x from both sides. So next it would be -4y=-2x+2. To get y by itself divide both sides by -4. So then it would be y= -2/-4x +2/-4. They both reduce down to y=1/2x-1/2. So the slope is 1/2 because the formula y=mx+b
m=slope. Hope this helps! :)

7 0

3 years ago