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3 years ago

Which fraction is equivalent to

" alt="\frac{25}{35}" align="absmiddle" class="latex-formula">
A) $\frac{2}{3}$

B) $\frac{20}{30}$

C) $\frac{3}{5}$

D) $\frac{5}{7}$

Mathematics

1 answer:

Vinil7 [7]3 years ago

4 0

$\dfrac{25}{35}=\dfrac{25:5}{35:5}=\dfrac{5}{7}\to\boxed{D)}$

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Answer:

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Step-by-step explanation:

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Gloria has 4 ¼ gallons of fruit punch to share. Each serving is 1 pint. How many servings does she have to share?

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3 years ago

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3 years ago

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vovikov84 [41]

Answer:

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Step-by-step explanation:

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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,

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

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

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2 years ago