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wolverine [178]
3 years ago
9

02:Posttest 2: Fractions

Mathematics
1 answer:
Tresset [83]3 years ago
7 0
3,3,5,11,20,35,63,80
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What is the best approximation of the length of segment QS? (Note: cos 80° = 0.17)
LuckyWell [14K]

Answer:

Length of the segment QS = 11.76 cm

Step-by-step explanation:

We are given with right angle triangle QRS

Angle S is 80 degree and RS = 2 cm

We need to find out QS

RS is adjacent to angle S, so we use cos formula

Cos (A) = \frac{adjacent}{hypotenuse}

Cos (S) = \frac{RS}{QS}

Plug in the angle and RS

Cos (80) = \frac{2}{QS}

Given cos(80) = 0.17

0.17= \frac{2}{QS}

Multiply by QS on both sides

0.17 * QS = 2

Divide by 0.17 on both sides

QS= 11.76470588

Length of the segment QS = 11.76 cm

6 0
3 years ago
What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−2/3x+5
Anuta_ua [19.1K]

Answer:

y = \frac{3}{2} x-11

Step-by-step explanation:

We are to find the equation a line that passes through the point (8, 1) and which is perpendicular to a line whose equation isy = - \frac{2}{3} x+5.

We know that the slope of line which is perpendicular to another line is the negative reciprocal of the slope of the other line so it will be \frac{3}{2}.

Then, we will find the y-intercept of the line using the standard equation of a line:

y=mx+c

1=\frac{3}{2} (8)+c

c=-11

Therefore, the equation of the line will be y = \frac{3}{2} x-11.


7 0
3 years ago
Read 2 more answers
What is the value of x? What is the value of x?
Otrada [13]
23. because there is a 90 degree angle and then the 67 degree angle, and triangle law says that all angles add up to 180.
5 0
3 years ago
Read 2 more answers
Alec is trying to find the surface area of a shoe box. What unit will he use? A) cubic feet B) square feet C) cubic inches D) sq
zysi [14]
The answer to this question would be: <span>D) square inches</span>

In this question, Alex needs to find the surface area of a shoe box. Surface area unit would be represented by "square" because it is 2 dimension. The unit "cubic" is used for volume which was 3 dimension. From here, the option A and C is out because it uses cubic.
The inch unit is better since it was smaller than feet. If you using feet square, the area of the shoe box will be small and it might be less accurate than using inch.
4 0
3 years ago
Read 2 more answers
How do you do this question?
lidiya [134]
<h3>Answer: Diverges</h3>

This series diverges by the limit test (some books may call it the nth term test).

Recall the limit test is the idea if the sequence doesn't converge to 0, then the series diverges.

In this case, the sequence converges to n/(7n) = 1/7 since all we are about are the leading terms when n gets very large.

After some very large n value, we're effectively adding on 1/7 or very close to it, each time. The infinite sum does not approach a fixed value. It keeps growing forever.

5 0
3 years ago
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