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2 years ago

If a 20 ft tree casts a 15ft shadow, how long a shadow is cast

Mathematics

1 answer:

Irina-Kira [14]2 years ago

4 0

Answer:

25 ft

Step-by-step explanation:

c = √a^2 + b^2 = √20^2 + 15^2 = 25ft

Hooke me up with a 5 star and a thanks :)

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Rewrite the quadratic function in vertex form. Y=2x^2+4x-1

Fantom [35]

Answer:

$\large\boxed{y=2(x+1)^2-3}$

Step-by-step explanation:

The vertex form of an equation of a parabola:

$y=a(x-h)^2+k$

(h, k) - vertex

We have

$y=2x^2+4x-1=2\left(x^2+2x-\dfrac{1}{2}\right)$

We must use the formula: $(a+b)^2=a^2+2ab+b^2\qquad(*)$

$2\left(x^2+2(x)(1)-\dfrac{1}{2}\right)=2\bigg(\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-\dfrac{1}{2}\bigg)\\\\=2\left((x+1)^2-1-\dfrac{1}{2}\right)=2\left((x+1)^2-\dfrac{3}{2}\right)$

Use the distributive formula a(b + c) = ab + ac

$2(x+1)^2+2\left(-\dfrac{3}{2}\right)=2(x+1)^2-3$

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3 years ago

The odds in favor of an event are 2:9 or 2/9. What are the odds against the event?

ddd [48]

Answer:

Odds against the events are 7/9.

Step-by-step explanation:

It is given that:

Odds in favor of event = 2 : 9 or 2/9

Let,

These odds are out of 1.

The odds against the event would be

Odds against = 1 - 2/9

Odds against = $\frac{9-2}{9}$

Odds against = $\frac{7}{9}$

Therefore,

Odds against the events are 7/9.

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3 years ago

Using a number cube and a

victus00 [196]

Answer:

1/12

Step-by-step explanation:

The probability of landing on tail = 1/2

The probability of rolling a 3 = 1/6

The probability of doing BOTH is 1/2 x 1/6 = 1/12

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3 years ago

The container that holds the water for the football team is 4/9 full. After pouring in 4

Natasha2012 [34]

Answer: 18 gallons.

Step-by-step explanation:

Let's call the total gallons that the container can hold x.

Then, based on the information given in the problem, you can write the following expression:

$\frac{4}{9}x+4=\frac{2}{3}x$

Now, you must solve for x, as you can see below. Therefore, you obtain the following result:

$\frac{4}{9}x+4=\frac{2}{3}x\\\\4=\frac{2}{3}x-\frac{4}{9}x\\\\4=\frac{2}{9}x\\\\4*9=2x\\\\36=2x\\\\x=18\ gallons$

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3 years ago

Which two angles are congruent

Anna35 [415]

Angles FED and angle JKL

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3 years ago

If a 20 ft tree casts a 15ft shadow, how long a shadow is cast​

If a 20 ft tree casts a 15ft shadow, how long a shadow is cast