Use the distributive property to expand this expression: 4(2z + 3y) =

The drama clue is showing a video of their recent play. The first showing begins at 1:30 p.m. The second showing is scheduled at

OLga [1]

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Given information
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First showing : 1.30pm
Second showing : 4.15 pm
Inbetween : 1/2 hour break

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Find the time the first showing ends
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1/2 hours before 4.15pm
⇒ 30 mins before 4.15pm
⇒ 3.45pm

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Calculate the duration of the firs show
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1.30pm to 3.30pm = 2 hours
3.30pm to 3.45pm = 15 mins
Total duration = 2 hours 15 mins

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Answer: 2 hours 15 mins
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7 0

3 years ago

If 1=3 2=3 3=5 4=4 5=4 Then, 6=?

ELEN [110]

9514 1404 393

Answer:

3

Step-by-step explanation:

For "a = b" it appears that the intention is b = f(a). It appears that f(a) is the number of letters in the spelling of 'a'.

"One" has 3 letters

"Two" has 3 letters

"Three" has 5 letters

"Four" has 4 letters

"Five" has 4 letters

"Six" has 3 letters

so, 6 = 3.

_____

Additional comment

This appears to be a non-standard use of the equal sign, in which it has no relation to the usual meaning of "equals." Using standard symbols with non-standard meanings should generally be avoided, unless the intended meaning is explained.

5 0

2 years ago

A gallup poll of 1236 adults showed that 12% of the respondents believe that it is bad luck to walk under a ladder. consider the

solmaris [256]

The probabillity can be found by using binomial probability formular considering that the event is discrete in nature and there are two possiple outcomes.

7 0

3 years ago

Suppose that θ is an acute angle of a right triangle and that sec(θ)=52. Find cos(θ) and csc(θ).

insens350 [35]

Answer:

$\cos{\theta} = \dfrac{1}{52}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

Step-by-step explanation:

To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.

a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:

$\sec{\theta} = \dfrac{1}{\cos{\theta}}$

we can substitute the value of sec(θ) in this equation:

$52 = \dfrac{1}{\cos{\theta}}$

and solve for for cos(θ)

$\cos{\theta} = \dfrac{1}{52}$

side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by $\theta = \arccos{\left(\dfrac{1}{52}\right)} = 88.8^\circ$

b) since right triangle is mentioned in the question. We can use:

$\cos{\theta} = \dfrac{\text{adj}}{\text{hyp}}$

we know the value of cos(θ)=1\52. and by comparing the two. we can say that:

length of the adjacent side = 1
length of the hypotenuse = 52

we can find the third side using the Pythagoras theorem.

$(\text{hyp})^2=(\text{adj})^2+(\text{opp})^2$

$(52)^2=(1)^2+(\text{opp})^2$

$\text{opp}=\sqrt{(52)^2-1}$

$\text{opp}=\sqrt{2703}$

length of the opposite side = √(2703) ≈ 51.9904

we can find the sin(θ) using this side:

$\sin{\theta} = \dfrac{\text{opp}}{\text{hyp}}$

$\sin{\theta} = \dfrac{\sqrt{2703}}{52}}$

and since $\csc{\theta} = \dfrac{1}{\sin{\theta}}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

4 0

3 years ago

Can someone check my answer please HELP!

Bezzdna [24]

Let price of one scarf be $x
Price of the other is 3 more than $x
Therefore price of the other scarf =$x +3
The total price she paid = $25.00
That is, x+x+3=25
2x+3=25
2x=25-3
2x=22
x=22/2
x=11
The price of one scarf is $11 and the price of the other is 11+3=$14
The price of the expensive scarf =$14.

6 0

3 years ago