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2 years ago

15

Quincy's retirement party will cost $30 if he invites 10 guests. If there are 16 guests, how much will Quincy's retirement party

cost? Solve using unit rates.

2 answers:

3241004551 [841]2 years ago

8 0

Answer:

$48

30/10 is equal to 3/1, 16 x 3 equals to 48.

fredd [130]2 years ago

7 0

Answer:$48

Step-by-step explanation:

$30/10p = $3 per person

3x6=18

18+30=48

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Calculate cos(480°) and sin(480°).

hram777 [196]

Answer:

$\cos(480^\circ)=-\dfrac{1}{2}$

$\sin(480^\circ)=\dfrac{\sqrt{3}}{2}$

Step-by-step explanation:

Calculate the value of trigonometry function.

$\cos(480^\circ)$ and $\sin(480^\circ)$

Split the angle between 0 to 90° using trigonometry formula.

$\Rightarrow \cos(360^\circ+120^\circ)$

$\Rightarrow \cos(120^\circ)$ $\because \cos(360+\theta)=\cos\theta$

$\Rightarrow \cos(180^\circ-60^\circ)$ $\because 120=180-60$

$\Rightarrow -\cos(60^\circ)$ $\because \cos(180-\theta)=-\cos\theta$

$\Rightarrow -\dfrac{1}{2}$

Therefore, cos(480°) = -0.5

$\Rightarrow \sin(360^\circ+120^\circ)$

$\Rightarrow \sin(120^\circ)$ $\because \sin(360+\theta)=\sin\theta$

$\Rightarrow \sin(180^\circ-60^\circ)$ $\because 120=180-60$

$\Rightarrow \sin(60^\circ)$ $\because \sin(180-\theta)=\sin\theta$

$\Rightarrow \dfrac{\sqrt{3}}{2}$

Therefore, sin(480°) = 0.866

7 0

3 years ago

In 2015 the viewership of a particular show was 5.6 million. A year later the viewership was 3.7 million. What was the percent o

siniylev [52]

Answer:

The percentage decrease is -33.93%

Step-by-step explanation:

Firstly we check if there is an increase or decrease

Since we went from 5.5 million to 3.7 million, that is a decrease

Percentage decrease = (3.7 - 5.6)/5.6 * 100%

= -1.9/5.6 * 100% = -33.93%

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3 years ago

Find the surface area of the square pyramid 8mm 6mm

bija089 [108]

Answer:

136 mm²

Step-by-step explanation:

$A=a^{2} +2a\sqrt{\frac{a^{2} }{4} } +h^{2}$

$A=6^{2} +2(6)\sqrt{\frac{6^{2} }{4} } +8^{2}$

$A=36 +12\sqrt{\frac{36 }{4} } +64$

$A=36 +12\sqrt{9 } +64$

$A=36 +12(3)+64$

$A=36 +36+64$

A = 136

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3 years ago

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Yuri [45]

Hello there!

To find the GCF, we must list all the factors and then just spot the greatest factor.

28: 1, 2, 4, 7, 14, 28.

210 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70.

So 14 is the GCF. Hope this helps you!

~Just a felicitous girlie

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yawa3891 [41]

F+g(x) = f(x) + g(x) = 3x-1 + x+2 = 4x+1

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