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earnstyle [38]
2 years ago
8

lance lived in portugal and brazil for a total of 14 months to learn portuguese. He learned an average of 130 new words per mont

h when he lived in portugal, and an average of 150 new words per month when he lived in brazil. In total he learned 1920 new words. write a system of equations to represent the situation. use x to represent portugal, and y to represent brazil
Mathematics
1 answer:
ser-zykov [4K]2 years ago
7 0

Answer:

130x+150y=1920

Step-by-step explanation:

130x is 130 words per month in portugal and 150y is 150 words per month in brazil. in total, he learned 1920 new words

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Consider the equation pV=kTN , where k is a constant. Select all of the correct answers that describe the variation between vari
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Answer:

See below

Step-by-step explanation:

Rule: If the variables are on the same side of the equal sign, they vary INVERSELY.

If the variables are on the opposite side of the equal Sign, they very DIRECTLY.

a) T and V

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b) p and T

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c) N and V

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d)  N and T

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2 years ago
If cos Θ = square root 2 over 2 and 3 pi over 2 < Θ < 2π, what are the values of sin Θ and tan Θ?
KIM [24]

Answer:

The answer is

sin(\theta)=-\frac{\sqrt{2}}{2}

tan(\theta)=-1

Step-by-step explanation:

we know that

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

sin^{2}(\theta)+cos^{2}(\theta)=1

In this problem we have

cos(\theta)=\frac{\sqrt{2}}{2}

\frac{3\pi}{2}

so

The angle \theta belong to the third or fourth quadrant

The value of sin(\theta) is negative

Step 1

Find the value of  sin(\theta)

Remember

sin^{2}(\theta)+cos^{2}(\theta)=1

we have

cos(\theta)=\frac{\sqrt{2}}{2}

substitute

sin^{2}(\theta)+(\frac{\sqrt{2}}{2})^{2}=1

sin^{2}(\theta)=1-\frac{1}{2}

sin^{2}(\theta)=\frac{1}{2}

sin(\theta)=-\frac{\sqrt{2}}{2} ------> remember that the value is negative

Step 2

Find the value of tan(\theta)

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

we have

sin(\theta)=-\frac{\sqrt{2}}{2}

cos(\theta)=\frac{\sqrt{2}}{2}

substitute

tan(\theta)=\frac{-\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}

tan(\theta)=-1

8 0
2 years ago
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Answer:

C) not justified, since people usually swim in the ocean during the day.

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The relationship between money earned and hours worked is linear. Joe computes the slope between (4, 30) and (12, 90), then comp
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Finding the slope of both coordinates, you'll get 15/2. The slopes are the same 
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Answer:

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Given;

Nar donated to 4 charities last year. She gave £175 to each of these charities.

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