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3 years ago

There are 24 hours in a day and 7 days in a week. Write an expression to show how many hours there are in t weeks.

1 answer:

4 0

To set the equation, we can first find out hiw many hours there are in a week by mutiplying 7 by 24:

7 × 24 = 168

For t weeks, we can mutiply t by the above answer:

168 × t
=168t

Therefore the answer is 168t.

Hope it helps!

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X+4=-4
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Find the missing angles and sides

maria [59]

Step-by-step explanation:

m∠1 = 180-100 = 80

m∠2 = 180-150 = 30

m∠3 = 180-(80+30) = 180 - 110 = 70

using the law of sine :

AC/sin(m∠2) = 5/sin(m∠3) ⇒ AC = sin(m∠2)*(5/sin(m∠3)) = sin(30)×(5÷sin(70))

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CB/sin(m∠1) = 5/sin(m∠3) ⇒ CB = sin(m∠1)*(5/sin(m∠3)) ⇒ CB = sin(80)×(5÷sin(70)) = 5.240052604588

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3 years ago

What is 100/298 written in its simplest form

zloy xaker [14]

100/298 = .3355704698 but the answer in a fraction in simplest form is 50/149

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3 years ago

Can anykne solve for any of these? If yiu can put what letter you did.

Aneli [31]

A) y - 8= -2/3 (x + 3)
B) y + 1 = 4 (x - 5)
C) y - 8 = -3/7 (x - 4)
D) y - 7 = 2/3 (x - 5)
E) y + 5 = -5/3 (x + 3)

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3 years ago

Graph y=sin^-1 (1/4 x) on the interval -5≤x≤5.

GaryK [48]

Answer:

Step-by-step explanation:

The arcsine ( $\sin^{-1}$ ) function of x is defined as the inverse sine function of x when -1≤x≤1.

So, when

$-4\le x\le 4,$

we have that

$-1\le \dfrac{1}{4}x\le 1.$

This gives us the domain $-4\le x\le 4$ of the function $y=\sin^{-1}\left(\dfrac{1}{4}x\right).$

The range of the function $y=\sin^{-1}x$ is $-\dfrac{\pi }{2}\le x\le \dfrac{\pi }{2},$ so the range of the function $y=\sin^{-1}\left(\dfrac{1}{4}x\right)$ is the same (options A and C are false).

When x=-4,

$y=\sin^{-1}\left(\dfrac{1}{4}\cdot (-4)\right)=\sin^{-1}(-1)=-\dfrac{\pi}{2}.$

So, option B is false and option D is true.

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3 years ago