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4 years ago

What is 0.416666667 as a fraction

1 answer:

8 0

It's 416,666,667/1,000,000,000. //// If you said that the 6s keep going and never end, then it would be the decimal form of 5/12 .

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Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from

Lapatulllka [165]

<h2>The area of a triangle is =54 square units</h2><h2>The perpendicular distance from B to AC is = $\frac{108}{\sqrt{149} } units$ </h2>

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

$x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and y_3=8$

The area of a triangle is= $\frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]$

= $|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|$

= $|-54|$ = 54 square units

The length of AC = $\sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}$

= $\sqrt{(2-12)^{2} +(1-8)^2}$

= $\sqrt{149}$ units

Let the perpendicular distance from B to AC be = x

According To Problem

$\frac{1}{2} \times x \times \sqrt{149} = 54$

⇔ $x =\frac{108}{\sqrt{149} }$ units

Therefore the perpendicular distance from B to AC is = $\frac{108}{\sqrt{149} } units$

5 0

3 years ago

The height of an object off the ground, h (in feet) t seconds after it is launched into the air is given by

creativ13 [48]

The average rate of change of h over the interval is -48 feet per second.

Given,

The height of an object off the ground, h (in feet) t seconds after it is launched into the air is given by

h(t) = −16t2 + 96t, 0 ≤ t ≤ 6.

We need to find the average rate of change of h over the interval [3, 6].

<h3>How do we find the average rate of change of a function over an interval?</h3>

If we have an interval [a, b] and a function f(x).

The rate of change is given by:

= f(b) - f(a) / b - a

We have,

h(t) = −16t² + 96t and [3, 6].

h(6) = -16 x 6² + 96 x 6 = -576 + 576 = 0

h(3) = -16 x 3² + 96 x 3 = -144 + 288 = 144

The average rate of change of h is:

= h(6) - h(3) / 6 - 3

= 0 - 144 / 3

= -144 / 3

= -48

Thus the average rate of change of h over the interval is -48 feet per second.

Learn more about the average rate of change here:

brainly.com/question/23780823

#SPJ1

3 0

1 year ago

One half of a number decreased by 16

elena-14-01-66 [18.8K]

1/2x-16 is an equation that can be used to represent this. The 1/2x represents the one half of a number and the -16 represents the decreased by 16.

3 0

3 years ago

Read 2 more answers

Joe earns $11.50/hr for the first 40 hours in the week, time and a half for the next 8 hours band double time for any additional

algol13

Answer:

$690

Step-by-step explanation:

To know how much money Joe earned, we need to split his 52 hours of work in three parts:

40 hours earning 11.5 per hour

8 hours earning 17.25 per hour (one time and a half of his regular payment)

The last 4 hours earning 23 per hours (double time earnings)

So, to know the total earning, we multiply each block of hours for its respective value per hour, and them sum them all:

Total earning = 40*11.5 + 8*17.25 + 4*23 = $690

7 0

3 years ago

Plz help me i need it

Sonbull [250]

Answer: I believe the correct answer is always because function of a function would be function. So, the answer would be A. always:)

* Hopefully this helps:) Mark me the brainliest:)!!

<em>∞ 234483279c20∞</em>

7 0

4 years ago

Read 2 more answers