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3 years ago

Simplify the expression please

Mathematics

1 answer:

Alinara [238K]3 years ago

7 0

Answer:

Step-by-step explanation:

$(\frac{7t^{\frac{-1}{4}}}{16t})^{2}=\frac{7t^{\frac{-1}{4}*2}}{16t^{2}}\\\\=\frac{7t^{\frac{-1}{2}}}{16t^{2}}\\\\=\frac{7}{16t^{2+\frac{1}{2}}}\\\\\frac{7}{16t^{\frac{5}{2}}}$

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Calculate the length of AB using Sine rule

vovikov84 [41]

Answer:

Approximately $22.2\; \rm m$ .

Step-by-step explanation:

By sine rule, the length of each side of a triangle is proportional to the sine value of the angle opposite to that side. For example, in this triangle $\triangle ABC$ , angle $\angle A$ is opposite to side $BC$ , while $\angle C$ is opposite to side $AB$ . By sine rule, $\displaystyle \frac{BC}{\sin{\angle A}} = \frac{AB}{\sin \angle C}$ .

It is already given that $BC = 22.4\; \rm m$ and $\angle A = 58^\circ$ . The catch is that the value of $\angle C$ needs to be calculated from $\angle A$ and $\angle B$ .

The sum of the three internal angles of a triangle is $180^\circ$ . In $\triangle ABC$ , that means $\angle A + \angle B + \angle C = 180^\circ$ . Hence,

$\begin{aligned}\angle C &= 180^\circ - \angle A - \angle B \\ &= 180^\circ - 58^\circ - 65^\circ \\ &= 57^\circ\end{aligned}$ .

Apply the sine rule:

$\begin{aligned} & \frac{BC}{\sin{\angle A}} = \frac{AB}{\sin \angle C} \\ \implies & AB = \frac{BC}{\sin{\angle A}} \cdot \sin \angle C \end{aligned}$ .

$\begin{aligned}AB &= \frac{BC}{\sin{\angle A}} \cdot \sin \angle C \\ &= \frac{22.4\; \rm m}{\sin 58^\circ} \times \sin 57^\circ \\ &\approx 22.2\; \rm m\end{aligned}$ .

5 0

3 years ago

4/9=w+4<br><br> solve for w.

Elina [12.6K]

Answer:

-32/9

Step-by-step explanation:

4/9=w+4

4/9-4/1=w

4-36/9=w

w=-32/9 or w=-3.56

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3 years ago

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How do you do this?Can you help me with the steps? I don't really get this a lot

polet [3.4K]

Before you do the steps, change the fractions given to improper fractions:
2 2/3 = 8/3
3 1/6 = 19/6

Now, I think the first step they want you to write is:
8/3 (divided by) 19/6

When you divide two fractions, it's the same as multiplying the first fraction by the reciprocal of the second fraction. (A reciprocal is a fancy way of saying you flip the fraction)
So the next step will look like this:
8/3 x 6/19

With this setup, you can cross simplify the fractions so that they look like this:
8/1 x 2/19
When you multiply this, you get 16/19
Let me know if you have any questions!

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3 years ago

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Taz packs 15 sweaters in boxes. Each box can hold 4 sweaters.

stira [4]

Answer:3 and 3/4 :)

Step-by-step explanation: 15/4= 3 R 3 3 and 3/4

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3 years ago

Please help ASAP<br>Will be given brainliest !!!

denpristay [2]

Answer: Its B