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4 years ago

10

1. (1 pt) Jackie filled the blue water balloon with 12.25 ounces of water and the red water balloon with 5.5 ounces of water. Ho

w much more water was in the blue balloon than the red one?

1 answer:

V125BC [204]4 years ago

5 0

6.75 because you subtract the red from blue.

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In ΔQRS, s = 2.3 inches, ∠S=51° and ∠Q=44°. Find the area of ΔQRS, to the nearest 10th of an square inch.

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Answer:

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Step-by-step explanation:

From the given information,

<S + <Q + <R = $180^{o}$

51 + 44 + <R = $180^{o}$

95 + <R = $180^{o}$

<R = $180^{o}$ - 95

= $85^{o}$

<R = $85^{o}$

Applying the Sine rule, we have;

$\frac{q}{SinQ}$ = $\frac{r}{SinR}$ = $\frac{s}{SinS}$

Using $\frac{r}{SinR}$ = $\frac{s}{SinS}$

$\frac{r}{Sin 85}$ = $\frac{2.3}{Sin51}$

r = $\frac{2.3*Sin85}{sin51}$

= 2.9483

r = 2.9 inches

Also, $\frac{q}{SinQ}$ = $\frac{s}{SinS}$

$\frac{q}{Sin44}$ = $\frac{2.3}{Sin51}$

q = $\frac{2.3*Sin44}{Sin51}$

= 2.0559

q = 2.0 inches

From Herons formula,

Area of a triangle = $\sqrt{s(s-q)(s-r)(s-s)}$

s = $\frac{2.3 + 2.0 + 2.9}{2}$

= 3.6

Area of ΔQRS = $\sqrt{3.6(3.6-2.0(3.6-2.9)(3.6-2.3)}$

= 2.2895

Area of ΔQRS = 2.3 square inches

8 0

3 years ago

Read 2 more answers