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3 years ago

2) Evaluate the given exponential expression

Mathematics

2 answers:

Talja [164]3 years ago

6 0

Answer:

$\frac{ {4}^{8} }{ {4}^{6} } = {4}^{2} = 16$

I hope I helped you^_^

Elodia [21]3 years ago

4 0

Answer:

Step-by-step explanation:

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Complete the steps to show how 4/5 x 5/6 can also be found using properties and equivalent fractions

Tresset [83]

Attached is how you would work this problem out.

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4 years ago

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:

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

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

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3 years ago

The sum of two numbers is 48 and the difference is 6. What are the numbers?

Natasha_Volkova [10]

Answer:

27 y 21.

27+21=48

27-21=6

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3 years ago

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lilavasa [31]

Answer:

0.70=70/100

0.75=75/100

Therefore,

Fractions are

71/100,72/100,73/100,74/100

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3 years ago

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Find the value of x. Round to the nearest degree.

qwelly [4]

What you should do in this case is to use the following trinonometric relationship:
senx = C.O / h
Where
C.O: Opposite leg.
h: hypotenuse.
Substituting:
senx = (7) / (9)
Clearing x:
x = ASIN ((7) / (9))
x = 51.05755873
Answer:
The value of x is
x = 51 degrees.

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4 years ago