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2 years ago

If cos 0 = 3/5 and angle 0 is in Quadrant IV, what is the value of tan 0 ? Tan =

Mathematics

1 answer:

VMariaS [17]2 years ago

4 0

Answer:

-4/3.

Step-by-step explanation:

cos O = 3/5

Using Pythagoras to find the length of the side opposite the angle O:

As the cos of O is adjacent/ hypotenuse, Hypotenuse = 5 , adjacent side = 3 so

opposite side. = sqrt(5^2 - 3^2) = sqrt 16

= 4.

Now the tangent is negative in Q IV so

tan O = opposite / adjacent side = -4/3

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Jackson rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes, and then continues riding i

Dimas [21]

Answer:

For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.

Then he stops for 20 minutes, we will represent this with a constant line.

Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.

A sketch of this situation can be seen below.

5 0

3 years ago

The meeting had 30 people, which is five-sixths of the club. How many people are in the club?

Firlakuza [10]

30 x 5/6 = 25

The answer is 25 people

I hope this helped. Let me know if you have any other questions!

3 0

3 years ago

Read 2 more answers

Please help me to solve this question.

tino4ka555 [31]

Answer:

A=266CM

Step-by-step explanation:

p=2l + 2w l=2x+1 w=x+5

66=2[2x+1] + 2{x+5] l=2x9 + 1 w=9+5

66=4x+2 + 2x+10 l=18+1 w=14

66=6x+12 l=19

66-12=6x

54=6x A=L x W

x=9 A=19 x 14

A=266CM

3 0

3 years ago

Plz help! anybody. i'll mark brainliest 20 points!!!!

lisabon 2012 [21]

(1) Snow fall in last week = $3 \frac{1}{2}$ inches

Snow fall in today= $5 \frac{3}{4}$ inches

Let us first change mixed fraction to improper fraction.

$\begin{aligned}&3 \frac{1}{2}=\frac{7}{2}\\&5 \frac{3}{4}=\frac{23}{4}\end{aligned}$

Now, make the denominators same.

$3 \frac{1}{2}=\frac{7}{2}=\frac{7 \times 2}{2 \times 2}=\frac{14}{4}$ , $5 \frac{3}{4}=\frac{23}{4}$

Now, find the difference between 14/4 and 23/4.

$\frac{23}{4}-\frac{14}{4}=\frac{9}{4}=2 \frac{1}{4}$

So, compared to last week $2 \frac{1}{4}$ more inches of snow fell today.

(2) Given three times a number, minus nine, equals six times six, divided by four.

Let a number be X.

3X – 9 = 6 × 6/4

(3) To solve the equation:

3X – 9 = 6 × 6/4

3X – 9 = 36/4

3X – 9 = 9

3X = 18

X = 6

5 0

3 years ago

Solve 5-3^x=-40 round to the nearest ten-thousandth

solong [7]

5-3^x = -40

subtract 5 from each side to get

-3^x=-45

divide both sides by -1 to make them positive

3^x = 45

need to do the natural logarithm on both sides to remove the variable from the exponent

so ln(3^x) = ln(45)

use logarithm rule to move x out

x ln (3) = ln(45)

dive each term by ln(3) then simplify to get

ln(3)/ln(45)

so x = ln(3)/ln(45) which calculates out to 3.46497352

round off to ten thousandths is 3.4650

4 0

3 years ago

Read 2 more answers