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Zinaida [17]
2 years ago
8

A zookeeper weighed an African elephant to be 9 × 103 pounds and an African lion to be 4 × 102 pounds. How many times greater is

the weight of the elephant than the weight of the lion?
Mathematics
2 answers:
love history [14]2 years ago
6 0

Answer:

for people who use time4learning:

the answer is (a) 22.5 x 10^1

Step-by-step explanation:

9 x 10^3 / 4 x 10^2 = 22.5

2.25 x 10^1 = 22.5

amm18122 years ago
4 0

Answer:

The African Elephant is 2.27 times heavier than a African Lion.

Step-by-step explanation:

9 × 103 pounds = 927E.

4 × 102 pounds = 408L.

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Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1
IceJOKER [234]

Solution to equationcosxtanx - 2 cos^2 x=-1 for all real values of x is  x=2k\pi + \frac{\pi}{6}  , x=2k\pi + \frac{5\pi}{6} .

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

Here we have , cosxtanx - 2 cos^2 x=-1. Let's solve :

⇒  cosxtanx - 2 cos^2 x=-1

⇒  cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1

⇒  sinx = 2 cos^2 x-1

⇒  sinx = 2 (1-sin^2x)-1

⇒  sinx = 1-2sin^2x

⇒  2sin^2x+sinx-1=0

By quadratic formula :

⇒ sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}

⇒ sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}

⇒ sinx = \frac{-1 \pm3}{4}

⇒ sinx = \frac{1}{2} , sinx =-1

⇒ sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}

⇒ x=\frac{\pi}{6} , x=\frac{3\pi}{2}

But at x=\frac{3\pi}{2} we have equation undefined as cos\frac{3\pi}{2}=0 . Hence only solution is :

⇒ x=\frac{\pi}{6}

Since , sin(\pi -x)=sinx

⇒ x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}

Now , General Solution is given by :

⇒ x=2k\pi + \frac{\pi}{6}  , x=2k\pi + \frac{5\pi}{6}

Therefore , Solution to equationcosxtanx - 2 cos^2 x=-1 for all real values of x is  x=2k\pi + \frac{\pi}{6}  , x=2k\pi + \frac{5\pi}{6} .

3 0
3 years ago
A circular foundation has a radius of 9.4 feet. Find it's diameter and circumference to the nearest tenth
Ganezh [65]
The diameter of the circular foundation would be 18.8 feet, and the circumference would be 59.1 feet.
5 0
3 years ago
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emmasim [6.3K]

Answer:

8x10+m

Step-by-step explanation:

because of PEMDAS you multiply the 8x10 1st then add the product to m

6 0
3 years ago
Please I really need help
san4es73 [151]

Answer:

its probably 2.0 or 0.2

Step-by-step explanation: x√=x−2

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3 years ago
Can you please answer this for me
Vsevolod [243]

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Step-by-step explanation:

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