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3 years ago

If 64 feet of rope weighs 20 pounds how much will 80 feet of the same type of rope weigh?

Mathematics

1 answer:

worty [1.4K]3 years ago

7 0

Answer:

25 pounds, hope its right

Step-by-step explanation

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Find exact values for sin θ and tan θ if cos θ = -4/9 and tan θ > 0.

julsineya [31]

Answer:

Part 1) $sin(\theta)=-\frac{\sqrt{65}}{9}$

Part 2) $tan(\theta)=\frac{\sqrt{65}}{4}$

Step-by-step explanation:

we have that

The cosine of angle theta is negative and the tangent of angle theta is positive

That means that the sine of angle theta is negative

step 1

Find $sin(\theta)$

we know that

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

we have

$cos(\theta)=-\frac{4}{9}$

substitute

$sin^{2}(\theta) +(-\frac{4}{9})^{2}=1$

$sin^{2}(\theta) +\frac{16}{81}=1$

$sin^{2}(\theta)=1-\frac{16}{81}$

$sin^{2}(\theta)=\frac{65}{81}$

square root both sides

$sin(\theta)=\pm\frac{\sqrt{65}}{9}$

Remember that

In this problem the sine of angle theta is negative

$sin(\theta)=-\frac{\sqrt{65}}{9}$

step 2

Find $tan(\theta)$

we know that

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

we have

$sin(\theta)=-\frac{\sqrt{65}}{9}$

$cos(\theta)=-\frac{4}{9}$

substitute the given values

$tan(\theta)=-\frac{\sqrt{65}}{9}:-\frac{4}{9}=\frac{\sqrt{65}}{4}$

3 0

3 years ago

66.6 reoccurring as a fraction .

Setler [38]

Answer:

66 2/3 as a mixed number or 200/3 as an improper fraction.

Step-by-step explanation:

That would be 66 2/3.

0.6 recurring is 2/3.

8 0

3 years ago

Read 2 more answers

A tour director collected $258 for 13 tour packages tour packages a cost $18 into a package requires $22 how many of each tour p

Lena [83]

Answer:

Step-by-step explanation:

X+Y = 13

$18 + $22 = $258

18X+22Y=258

18X + 22(13 - X) = 258

18X + 286 - 22X = 258

286 - 4X = 258

-4X= 258 - 286

-4X = -28

X= 7

Y=6

7 of the X tour packages & 6 of the Y tour packages

4 0

2 years ago

Pls help me ASAP plssss!!!

Nataly [62]

Answer:

7. $8

8. coupons offer deals upfront, rebates only offer them after purchase, and sales are short times to drive sales

Step-by-step explanation:

7 work. best buy: 60 - 2 = 40 40 x 4 = 160

Gamestop: 60 x 0.3 = 18 42 x 4 = 168

160 - 168 = -8

$8 dollars saved by Best Buy

7 0

2 years ago

In the game of roulette, a player can place a $4 bet on the number 29 and have a 1/38 probability of winning. If the metal bal

creativ13 [48]

Answer:

The expected value of the game to the player is -$0.2105 and the expected loss if played the game 1000 times is -$210.5.

Step-by-step explanation:

Consider the provided information.

It is given that if ball lands on 29 players will get $140 otherwise casino will takes $4.

The probability of winning is 1/38. So, the probability of loss is 37/38.

Now, find the expected value of the game to the player as shown:

$E(x)=(140)\times \frac{1}{38}+(-4)\times \frac{37}{38}$

$E(x)=\frac{140-148}{38}$

$E(x)=\frac{-8}{38}=-$0.2105$

Hence, the expected value of the game to the player is -$0.2105.

Now find the expect to loss if played the game 1000 times.

1000×(-$0.2105)=-$210.5

Therefore, the expected loss if played the game 1000 times is -$210.5.

5 0

3 years ago

If 64 feet of rope weighs 20 pounds how much will 80 feet of the same type of rope weigh?​

If 64 feet of rope weighs 20 pounds how much will 80 feet of the same type of rope weigh?