All categories

2 years ago

If a 30 -meter pine tree casts a shadow of 30 meters, how far is the tip of the shadow from the top of the tree?

1 answer:

3 0

From the information given, this scenario creates a 45-45-90 triangle, allowing us to use the Pythagorean Theorem. 30^2+30^2=x^2. 30^2 is 900, so now you have 900+900=x^2. Add to make 1800=x^2. Now take the square root of both sides. It should come out to be about 42.43 meters.

You might be interested in

Multiply the following and simplify.

Yuki888 [10]

What are we multiplying exactly?

5 0

2 years ago

3(4-2) help please thank you

Talja [164]

Answer: 6

Explanation:
3(4-2) = 3(2) = 6

6 0

2 years ago

Read 2 more answers

Find the area and the circumference of a circle with the radius 3 ft.Use 3.14 for pi

Lilit [14]

ANSWER

• Circumference: 18.84 ft

• Area: 28.26 ft²

EXPLANATION

The circumference of a circle of radius r is,

$C=2\pi r$

In this case, the radius is r = 3 ft and we have to use 3.14 for π,

$C=2\cdot3.14\cdot3ft=18.84ft$

Hence, the circumference of this circle is 18.84 feet.

The area of a circle of radius r is,

$A=\pi r^2$

In this case, r = 3 ft and π = 3.14,

$A=3.14\cdot3^2ft^2=28.26ft^2$

Hence, the area of this circle is 28.26 square feet.

6 0

9 months ago

A major baseball diamond is a square with side lengths of 90 feet.

iren2701 [21]

Answer: $\bold{a)\quad 90\sqrt2\qquad \qquad b)\quad 45\sqrt2}$

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

Since you are looking for the distance from home plate to second base, you are actually looking for the length of the diagonal of the square. Use the Pythagorean Theorem: a² + b² = c² where a and b are the side lengths and c is the length of the diagonal.

$90^2+90^2=c^2\\8100+8100=c^2\\16200=c^2\\\sqrt{16200}=c\\\boxed{90\sqrt2}=c\qquad \qquad \text{which is approximately 127.28}\\\\\\\\\text{Halfway between home plate and 2nd base means divide that length by 2:}\\\\\dfrac{90\sqrt2}{2}=\boxed{45\sqrt2}$

7 0

2 years ago

On Monday, a localamburger shop said a combined total of 225 hamburgers and cheeseburgers. The number of cheeseburgers sold was

zheka24 [161]

Answer:

h = hamburgers sold

2h - 72 = 578

2h = 650

2 2

h = 325

There were 72 fewer cheeseburgers sold than hamburgers. That means cheeseburgers = 325 - 72

325 - 72 = 253

253 = cheeseburgers

325 = hamburgers

253 + 325 = 578

Hamburgers = 325

Hope this helps :)

4 0

2 years ago