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3 years ago

A ball, dropped vertically, falls d metres in t seconds.

Mathematics

1 answer:

Sergio [31]3 years ago

8 0

Answer:

455m

Step-by-step explanation:

We know that acceleration is acceleration due to gravity, which is 10m/s, and initial speed u=0m/s

Use the motion equation to find distance when t=10:

d=ut+(1/2)at²

d=0t+(1/2)(10)(10²)

d=500m

The distance travelled in the seven seconds following the first three = 500-45=455m

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A 4 foot tree was planted in 2012 outside a high school. The tree grew continuously by 22% each year from that point. Find out w

Brut [27]

Answer:

The height of the tree in 2020 was of 19.63 feet.

Step-by-step explanation:

Exponential equation for growth:

The exponential equation for the growth of an amount has the following format:

$H(t) = H(0)(1+r)^t$

In which H(t) is the amount after t years, H(0) is the initial amount and r is the growth rate, as a decimal.

A 4 foot tree was planted in 2012 outside a high school.

This means that $H(0) = 4$

The tree grew continuously by 22% each year from that point.

This means that $r = 0.22$

Find out what the height of the tree was in 2020.

2020 is 2020 - 2012 = 8 years after 2012, so this is H(8).

$H(t) = H(0)(1+r)^t$

$H(t) = 4(1+0.22)^t$

$H(4) = 4(1.22)^t$

$H(4) = 4(1.22)^8 = 19.63$

The height of the tree in 2020 was of 19.63 feet.

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3 years ago

Which way does a column go

Neko [114]

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Andre45 [30]

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A kite on a 100-foot string is fastened to the ground, making a 25° angle with the ground. To the nearest tenth of a foot, how h

lozanna [386]

Answer: 42.3 ft

<u>Step-by-step explanation:</u>

Draw a picture (see attachment)

Given: angle = 25°, hypotenuse = 100, opposite = ???

$\sin\theta=\dfrac{opposite}{hypotenuse}\quad \rightarrow \quad \sin25^o=\dfrac{y}{100}\quad \rightarrow \quad 100\ \sin 25^o=y\\$

$\large\boxed{42.3\ ft}=y$

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3 years ago

X2 – 12x + 37 = 0 in simplest a + bi form

Andreas93 [3]

Answer:

x=6+1

Step-by-step explanation:

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