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3 years ago

If you try to solve a linear system by the substitution method and get the result 0 = 8, what does this mean? The system has

Mathematics

1 answer:

Andre45 [30]3 years ago

5 0

Answer:

The system has no solution because if 0=8, this means this is an empty set. If you get 2 numbers that don't equal each other for an answer then you know there's no solution

Step-by-step explanation:

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2. The cone has a radius of 30 mm and slant height of 34 mm. What is the height h for this cone?

Flura [38]

Answer:

h = 16

Step-by-step explanation:

By applying the Pythagorean Theorem, the slant height is given by the formula:

$\sqrt{r^2+h^2}$

34 = $\sqrt{30^2 + h^2}$

$34^2 = 30^2 + h^2$

$1156 = 900 + h^2$

$256 = h^2$

$h = \sqrt{256}$

$h = 16$

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3 years ago

Given α and β are Supplementary. Show the necessary steps.

user100 [1]

Answer:

$\alpha = 108\degree, \: \beta = 72\degree$

Step-by-step explanation:

α and β are Supplementary (given)

$\therefore \alpha + \beta = 180\degree.... (1)$

It is given that:

$\alpha= \frac{3}{2} \beta$

Plugging the value of α in equation (1), we find:

$\frac{3}{2} \beta + \beta = 180\degree$

$\therefore \frac{3+2}{2} \beta = 180\degree$

$\therefore \frac{5}{2} \beta = 180\degree$

$\therefore \beta = 180\degree\times \frac{2}{5}$

$\therefore \beta = 72\degree$

$\implies \alpha= \frac{3}{2} \times 72\degree= 108\degree$

So,

$\alpha = 108\degree, \: \beta = 72\degree$

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3 years ago

A fraction in which the GCF of the numerator and the denominator is 1 is written in .

Vlad [161]

I like milk on Tuesday and watching twerk videos.

5 0

3 years ago

Evaluate the power: (−3)^4 A. 81 B. -81 C. 243 D. -331

Agata [3.3K]

Answer:

The answer is 81.

Step-by-step explanation:

Since the power of 4 is even, the result will be positive.

${3}^{4}$

Simplify.

$81$

hence, the answer is Option A) 81.

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3 years ago

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What is the area of a circle when the circumference is 25 in

Ahat [919]

Answer:

49.735919716217

Step-by-step explanation:

Area =

C2 / 4π

4 0

3 years ago

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