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3 years ago

Evaluate: 5². Explain how you found your answer.

Mathematics

2 answers:

Zina [86]3 years ago

5 0

Wrong Answer:

5 x 2 = 10

Right Answer

5 x 5 = 25

The 2 equals how many times you multiply the bottom number. Since it said 2 time I will multiply 5 two times

lara [203]3 years ago

3 0

The answer would be 25 bc 5x5 would be 25 and that’s the answe

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What is the factored form of x^2-x-2?

ipn [44]

Answer:

$(x+1)(x-2)$

Step-by-step explanation:

You can factor this by grouping.

$x^2-x-2$

$\left(x^2+x\right)+\left(-2x-2\right)$

$x\left(x+1\right)-2\left(x+1\right)$

$\left(x+1\right)\left(x-2\right)$

8 0

3 years ago

Solve -10 >/= x + 17

Ira Lisetskai [31]

Answer:

$x\le \:-27$

Step-by-step explanation:

$-10\ge \:x+17$

Switch sides:

$x+17\le \:-10$

Subtract 17 from both sides:

$x+17-17\le \:-10-17$

$x\le \:-27$

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4 years ago

Find the Value of Sin A rounded to the nearest hundredth, if necessary.

leonid [27]

Step-by-step explanation:

In trigonometry, the law of sines is an equation that relates the length of the sides of a triangle (any type of triangle) to the sines of its angles. This is expressed mathematically as

$\displaystyle\frac{a}{\sin \alpha} \ = \ \displaystyle\frac{b}{\sin \beta} \ = \ \displaystyle\frac{c}{\sin \gamma}$ ,

where $a$ , $b$ , and $c$ are the lengths of the sides of the triangle and $\alpha$ , $\beta$ , and $\gamma$ are the opposite angles (as shown in the figure below). Likewise, the law is sometimes written as it reciprocals,

$\displaystyle\frac{\sin \alpha}{a} \ = \ \displaystyle\frac{\sin \beta}{b} \ = \ \displaystyle\frac{\sin \gamma}{c}$ .

Therefore,

$\displaystyle\frac{\sin A}{BC} \ = \ \displaystyle\frac{\sin B}{AC} \\ \\ \\ \sin A \ = \ \displaystyle\frac{\sin B \ \times \ BC}{AC} \\ \\ \\\sin A \ = \ \displaystyle\frac{\sin \left(90^{\circ}\right) \ \times \ \sqrt{\left(10\right)^{2} \ - \ \left(\sqrt{78}\right)^{2}}}{10} \\ \\ \\ \sin A \ = \ \dsiplaystyle\frac{\sqrt{22}}{10} \\ \\ \\ \sin A \ = \ 0.47 \ \ \ \ (\text{nearest hundredth})$

Alternatively, you can solve this question using the definition of the trigonometric function sine. For the angle $\theta$ in the figure below,

$\sin \theta \ = \ \displaystyle\frac{\text{opposite}}{\text{hypothenuse}}$ .

Therefore,

$\sin A \ = \ \displaystyle\frac{BC}{AC} \\ \\ \\ \sin A \ = \ \displaystyle\frac{\sqrt{\left(10\right)^{2} \ - \ \left(\sqrt{78}\right)^{2}}}{10} \\ \\ \\ \sin A \ = \ \displaystyle\frac{\sqrt{22}}{10} \\ \\ \\ \sin A \ = \ 0.47 \ \ \ \ (\text{nearest hundredth})$