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3 years ago

413 divided by 14 How do you it?

2 answers:

5 0

You can either do this on the calculator, or in your head. As its a larger number, it is worth doing it on the calculator.
413/14= 29.5
The alternative method is to list all of the tens multiples, and the smaller multiples when you're getting close to the answer, and this will be able to help you.
14x10= 140
14x20=280
14x30= 420 (which is slightly too big)
14x29= 406 (slightly too small)
14x29.5= 413

Hope this helps :)

Veronika [31]3 years ago

5 0

413/14 is how many times does 14 go into 413 is 29.5

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For the function f(x)=|4x−2|+10, evaluate f(−3).

Orlov [11]

Answer:

$f(-3)=24$

Step-by-step explanation:

So we have the function:

$f(x)=|4x-2|+10$

To find f(-3), substitute -3 for x:

$f(-3)=|4(-3)-2|+10$

Multiply within the absolute value:

$f(-3)=|-12-2|+10$

Subtract:

$f(-3)=|-14|+10$

The absolute value of -14 is 14. Thus:

$f(-3)=14+10$

Add:

$f(-3)=24$

And we're done!

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3 years ago

To aid in sea navigation, Little Gull Island Lighthouse shines a light from a height of 91 feet above sea level with an unknown

algol13

Answer:

$\approx 6^\circ$

Step-by-step explanation:

Given that:

Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.

The angle of depression is unknown.

Distance of the point at sea surface from the base of lighthouse is 865 ft.

This situation can be modeled or can be represented as the figure attached in the answer area.

The situation can be represented by a right angled $\triangle ABC$ in which we are given the base and the height of the triangle.

And we have to find the value of $\angle BAD \ or \ \angle C$ (Because they are the internal vertically opposite angles).

Using tangent ratio:

$tan\theta = \dfrac{Perpendicular}{Base}$

$tanC = \dfrac{AC}{BC}\\\Rightarrow tanC = \dfrac{91}{865}\\\Rightarrow tanC = 0.105\\\Rightarrow \angle C \approx 6^\circ$

Therefore, the angle of depression is: $\approx 6^\circ$

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3 years ago

a falling object travels a distance given by the formula d=5t + 16t^2 ft, where t is measured in seconds. how long will it take

Butoxors [25]

Its given that

$d=5t+16t^{2}$

We need to find t when d = 74

Therefore, $74=5t+16t^{2}$ or

$16t^{2}+5t-74 = 0$

$16t^{2}+37t-32t-74 = 0$

t(16t + 37) - 2(16t + 37) = 0

(t - 2)(16t + 37) = 0

t - 2 = 0 or 16t + 37 = 0

t couldn't be negative.

Therefore, t = 2

Hence, it will take 2 seconds for the object to travel 74 feet.

8 0

3 years ago

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Z + mx = yx , for x can you pls give me the answer I need it fast

Jobisdone [24]

Z=yx-mx
z=x(y-m)
z/(y-m)=x

4 0

3 years ago

A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet

Natali5045456 [20]

Complete Question

A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet from the ground and he catches it when it is four feet from the ground,How long is the ball in the air?

Answer:

$t\approx 0.1s$