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3 years ago

Omani drives 66 miles in 1.5 hours

Mathematics

2 answers:

Burka [1]3 years ago

8 0

Answer:

25.6 km/h

Step-by-step explanation:

Omani:

First, 1.5 hours = 1 hour and 30 minutes

and 66 miles = 105.6 km (66 x 1.6 = 105.6)

105.6 / 1.5 = 70.4 km/h

Omani's speed is 70.4 km/h

Adedi:

1 hour and 15 minutes is 1.25 hours

she drives 56 km in 1.25 hours

So 56 / 1.25 = 44.8 km/h

Adedi's speed is 44.8 km/h

Difference:

70.4 - 44.8 = 25.6 km/h

Omani is faster than Adedi with 25.6 km/h

Lisa [10]3 years ago

6 0

The answer would be 25.6km/h

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Delicious77 [7]

Answer:

$\sin\theta=-\frac{\sqrt{6}}{3}$

Step-by-step explanation:

The given trigonometric equation is $\cos(-\theta)=\frac{\sqrt{3} }{3}$ .

We can either use the Pythagorean identity or the right angle triangle to solve for $\sin\theta$ .

According to the Pythagorean identity,

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Recall that, the cosine function is an even function, therefore

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We substitute this value in to the above Pythagorean identity to get;

$(\frac{\sqrt{3}}{3})^2+\sin^2\theta=1$

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$\Rightarrow \sin^2\theta=\frac{6}{9}$

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$\Rightarrow \sin\theta=\pm \frac{\sqrt{6}}{3}$

But we were given that,

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The correct answer is B

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3 years ago

Serggg [28]

Answer:

value of sides YZ is 36 cm

Step-by-step explanation:

Similar triangles states that the length of the corresponding sides are in proportion.

Given that: ΔABC is similar to ΔXYZ

then;

Corresponding sides are in proportion i.e

$\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}$ .....[1]

As per the statement:

side AB = 6 cm, side BC =18 cm and side XY = 12 cm.

Substitute these in [1] to solve for side YZ;

$\frac{6}{12}= \frac{18}{YZ}$

$\frac{1}{2} = \frac{18}{YZ}$

By cross multiply we have;

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3 years ago

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