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3 years ago

Round to the nearest hundredth 4.1553

Mathematics

2 answers:

Kaylis [27]3 years ago

7 0

The answer is 4.16 because the nearest hundredth would be 5, so it goes up 1.

nirvana33 [79]3 years ago

5 0

Answer:

4.16

Step-by-step explanation:

4.16

because thousanth is 5

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2 years ago

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A road perpendicular to a highway leads to a farmhouse located d miles away. An automobile traveling on this highway passes thro

pshichka [43]

Answer:

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}$

Step-by-step explanation:

A road is perpendicular to a highway leading to a farmhouse d miles away.

An automobile passes through the point of intersection with a constant speed $\frac{dx}{dt}$ = r mph

Let x be the distance of automobile from the point of intersection and distance between the automobile and farmhouse is 'h' miles.

Then by Pythagoras theorem,

h² = d² + x²

By taking derivative on both the sides of the equation,

$(2h)\frac{dh}{dt}=(2x)\frac{dx}{dt}$

$(h)\frac{dh}{dt}=(x)\frac{dx}{dt}$

$(h)\frac{dh}{dt}=rx$

$\frac{dh}{dt}=\frac{rx}{h}$

When automobile is 30 miles past the intersection,

For x = 30

$\frac{dh}{dt}=\frac{30r}{h}$

Since $h=\sqrt{d^{2}+(30)^{2}}$

Therefore,

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+(30)^{2}}}$

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}$

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3 years ago

Which angle measures create a triangle with three different side lengths. 40°, 40°, and 100° 65°, 65°, and 65° 45°, 45°, and 90°

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Answer:

29°, 58°, and 93°

Step-by-step explanation:

If the angles opposite are equal, the sides are equal. In order to have three different side lengths, you must have three different angles.

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3 years ago

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Example:

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3 years ago

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Answer:

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Step-by-step explanation:

12x +18

Factor out 6 from each term

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6(2x+3)

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3 years ago

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