What is the value or x?

Mathematics

1 answer:

Romashka [77]1 year ago

4 0

From the given figure

$\cos x=\frac{XY}{XZ}$

Since XY = 5.1 and XZ = 7.7, then

$\cos x=\frac{5.1}{7.7}$

To find x, use the inverse of cos

$x=\cos ^{-1}(\frac{5.1}{7.7})$

Use the calculator to find x

$x=48.522$

The answer is

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At the movie theatre, child admission is $6.00 and adult admission is $9.60. On Saturday, 135 tickets were sold for a total sale

lana66690 [7]

Answer:

58 child tickets were sold

Step-by-step explanation:

If 58 child tickets were sold, then that would mean that 77 adult tickets were sold because they need to add up to 135 total tickets sold.

We can multiply 58 by $6 to get the total sales for just the child tickets which will give us $348.

Next, we can multiply 77 by $9.60 to get the total sales for the adult tickets which will give us $730.20

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zmey [24]

Answer:

$\large\boxed{Q1.\ \sin\theta=\dfrac{40}{41}}\\\boxed{Q2.\ 30^o}$

Step-by-step explanation:

Q1.

$\sin\theta=\dfrac{y}{r}$

$\text{We have}\\\\r=1\to(\text{radius of the unit circle}),\\\\y=\dfrac{40}{41}\to\text{from the given point}\ \left(\dfrac{9}{41},\ \dfrac{40}{41}\right)\\\\\text{Substitute:}\\\\\sin\theta=\dfrac{\frac{40}{41}}{1}=\dfrac{40}{41}$