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3 years ago

Use the diagram to complete the statement.

Mathematics

1 answer:

WITCHER [35]3 years ago

4 0

Answer:

Step-by-step explanation:

i think it is b

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A boat is pulled toward a dock by means of a rope wound on a drum that is located 6 ft above the bow of the boat. If the rope is

Monica [59]

Answer:

Step-by-step explanation:

Given that:

The height of the dock (h) = 6

Let represent d to be the distance between the boat and the dock

Let the length of the rope between the boat and the drum be denoted by (l)

Then, the rate of change for the length of the rope be:

dl/dt = -5 ft/s

Using Pythagoras rule to determine the relationship between these values, we have:

$l^2 = h^2 +d^2$

$l^2 = 6^2 + d^2$

$l^2 = 36 + d^2$

We relate to: $2l * \dfrac{dl}{dt} = 2d* \dfrac{dd}{dt}$

From the question;

l = 34,

So to find $\dfrac{dd}{dt}$ , we get;

$d = \sqrt{l^2 - 36}$

$d = \sqrt{34^2 - 36}$

$d = \sqrt{1156- 36}$

$d = \sqrt{1120}$

d = 33.46

So, we have:

$\dfrac{dd}{dt}= \dfrac{l}{d} \times \dfrac{dl}{dt}$

$\dfrac{dd}{dt}= \dfrac{34}{33.46} \times - 5$

$\dfrac{dd}{dt}= 1.016 \times - 5$

$\dfrac{dd}{dt}=-5.08 \ ft/sec$

4 0

3 years ago

At a party, there are 8 guests. Each guest eats 2 1/4 oranges. How many oranges do the 8 guests eat?

Debora [2.8K]

18 oranges because if u convert 2 1/4 to a decimal it would be 2.25. Then multiply that by 8 and I will get 18

5 0

3 years ago

Instructions: Find the measure of the indicated angle to the<br> nearest degree

bixtya [17]

Answer:

? = 33

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan ? = opp / adj

tan ? = 13/20

Take the inverse tan of each side

tan ^-1 tan ? = tan ^-1 ( 13/20)

? = 33.02386756

To the nearest degree

? = 33

5 0

3 years ago

Read 2 more answers

Help plz I will give brainliest if it's right

liq [111]

Answer:

Step-by-step explanation:

let, the missing angle be x.

x= 66°{being the corresponding angle}

: the value of missing angle is 66°

3 0

3 years ago

Clyde simplified ( j^-8)^-2

Lina20 [59]

ANSWER

${j}^{16}$

EXPLANATION

The given expression is

$( {j}^{ - 8} )^{ - 2}$

To simplify this expression, we use the law of exponents.

Recall that:

${(a}^{m} )^{n} = {a}^{mn}$

We need to multiply the exponents to get:

$( {j}^{ - 8} )^{ - 2} = {j}^{ - 8 \times - 2}$

$( {j}^{ - 8} )^{ - 2} = {j}^{16}$

Therefore after simplification, Clyde got:

${j}^{16}$

5 0

3 years ago

Read 2 more answers