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9 months ago

How can emily use the above to make an estimate for 576 ÷8

Mathematics

1 answer:

Grace [21]9 months ago

7 0

Given the equation :

$576\div8$

We will use estimation to find the value of the given expression

So, the best estimation for the number 576 is = 600

The best estimation for the number 8 is = 10

So, the given expression is approximately = 600 ÷ 10 = 60

===================================================================

We can calculate the error of the approximation as following :

The actual value is : 576 ÷ 8 = 72

So, the difference is = 72 - 60 = 12

so, the percentage of error will be :

$\frac{12}{72}\cdot100=16.7\%$

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The terminal side of an angle in standard position passes through P(15, –8). What is the value of sine theta? sine theta = fifte

Pavlova-9 [17]

The value of sine theta = negative eight-seventeenths ⇒ 2nd

Step-by-step explanation:

Let us revise the quadrant of an angle its terminal side passes through a given point

If the given point is (x , y), then the angle lies in the 1st quadrant
If the given point is (-x , y), then the angle lies in the 2nd quadrant
If the given point is (-x , -y), then the angle lies in the 3rd quadrant
If the given point is (x , -y), then the angle lies in the 4th quadrant

∵ The terminal side of angle Ф passes through P (15 , -8)

∵ x = 15 and y = -8

- P is (x , -y), then the angle Ф lies in the 4th quadrant

∵ The terminal side of angle Ф is the hypotenuse of a right

triangle whose horizontal leg is 15 units and vertical leg

is -8 units

- Use Pythagoras Theorem to find the length of the hypotenuse

∴ Hypotenuse = $\sqrt{(15)^{2}+(-8)^{2}}=17$ units

∵ sinФ = $\frac{opposite}{hypotenuse}$

∵ The side opposite to Ф is -8

∵ The hypotenuse is 17

∴ sinФ = $\frac{-8}{17}$

The value of sine theta = negative eight-seventeenths

Learn more:

You can learn more about the trigonometry function in brainly.com/question/4924817

#LearnwithBrainly

3 0

2 years ago

Read 2 more answers

Find the volume of the cylinder. Round your answer to the nearest tenth.

eduard

Answer:84.82 volume nearest tenth is = 84.8

Step-by-step explanation: Find the number in the tenth place

88 and look one place to the right for the rounding digit

22. Round up if this number is greater than or equal to

5 5 and round down if it is less than

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3 years ago

Batman (mass=100 kg) jumps straight down from a bridge in to a boat (mass = 580 kg) in which a criminal is fleeing. The velocity

Crank

Answer:

$v_b=11.94\ m/s$

Step-by-step explanation:

<u>Linear Momentum </u>

The momentum of a system of masses m1,m2,m3... with speeds v1,v2,v3,... is given by

$M=m_1v_1+m_2v_2+m_3v_3+...$

When some interactions take place into the system of masses with no external forces interferring, the total momentum is not changed, which means that if the new speeds are v1', v2', v3'... then:

$m_1v_1+m_2v_2+m_3v_3+...=m_1v_1'+m_2v_2'+m_3v_3'+...$

The problem relates the story of Batman (m1=100kg) who is initially assumed at rest and lands on a boat with mass m2=580 kg initially moving at 14 m/s to the positive reference. When the collision takes place, both masses join and a common speed $v_b$ is achieved by the common mass. Applying the conservation of momentum, we have