3. Given: ZCAT and ZDOG are right angles. What are ALL the conclusions that can be made?

Mathematics

1 answer:

lawyer [7]3 years ago

5 0

Answer:

Can I see the question?

explanation: 772.malachi on insta

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Ram travels 200 km in 2 and a half hours by a car, how long would he take to travel 140

MrRissso [65]

Answer:

x=1.75 hour

Step-by-step explanation:

200km=2.5

140km=x

2.5 * 140=200x

350=200x

x=350/200

x=1.75

the time it will take is x=1.75 hour

4 0

2 years ago

Use the figure below to find the exact values of the double angles.

scZoUnD [109]

Right away, we know that

$\cos\beta=\dfrac{16}{20}=\dfrac45$

which means

$\sin\beta=\sqrt{1-\cos^2\beta}=\dfrac35$

Then

$\cos\beta=\cos2\left(\dfrac\beta2\right)=\cos^2\dfrac\beta2-\sin^2\dfrac\beta2$

$\sin\beta=\sin2\left(\dfrac\beta2\right)=2\sin\dfrac\beta2\cos\dfrac\beta2$

Let $x=\cos\dfrac\beta2$ and $y=\sin\dfrac\beta2$ . Then

$\begin{cases}\dfrac45=x^2-y^2\\\\\dfrac35=2xy\end{cases}\implies\begin{cases}\cos\dfrac\beta2=\dfrac3{\sqrt{10}}\\\\\sin\dfrac\beta2=\dfrac1{\sqrt{10}}\end{cases}$

from which we find

$\tan\dfrac\beta2=\dfrac{\sin\frac\beta2}{\cos\frac\beta2}=\dfrac13$

You can use the same ideas above to find the trig ratios for $\dfrac\alpha2$ , starting from the given fact that $\sin\alpha=\dfrac{16}{20}=\dfrac45$ .