All categories

2 years ago

Mrs. DeMarco wants to estimate the height of her garage

Mathematics

1 answer:

valkas [14]2 years ago

6 0

Answer:

length of baseball bat.

Step-by-step explanation:

she can measure the bat and times by how many times she could fit the bat there u know

You might be interested in

Simplify the complex numbers using de Moivre's Theorem and match them with their solutions.

alexandr1967 [171]

For the numbers in $a+bi$ form, convert to polar form:

$1+i=\sqrt2\dfrac{1+i}{\sqrt2}=\sqrt2\left(\cos\dfrac\pi4+i\sin\dfrac\pi4\right)$

By DeMoivre's theorem,

$(1+i)^5=(\sqrt2)^5\left(\cos\dfrac{5\pi}4+i\sin\dfrac{5\pi}4\right)=4\sqrt2\dfrac{-1-i}{\sqrt2}=-4-4i$

$-1+i=\sqrt2\dfrac{-1+i}{\sqrt2}=\sqrt2\left(\cos\dfrac{3\pi}4+i\sin\dfrac{3\pi}4}\right)$

$\implies(-1+i)^6=(\sqrt2)^6\left(\cos\dfrac{18\pi}4+i\sin\dfrac{18\pi}4\right)=8i$

$\sqrt3+i=2\dfrac{\sqrt3+i}2=2\left(\cos\dfrac\pi6+i\sin\dfrac\pi6\right)$

$\implies2(\sqrt3+i)^{10}=2^{11}\left(\cos\dfrac{10\pi}6+i\sin\dfrac{10\pi}6\right)=2^{11}\dfrac{1-i\sqrt3}2=2^{10}(1-i\sqrt3)$

For the numbers already in polar form, DeMoivre's theorem can be applied directly:

$2\left(\cos20^\circ+i\sin20^\circ\right)^3=2\left(\cos60^\circ+i\sin60^\circ\right)=2\dfrac{1+i\sqrt3}2=1+i\sqrt3$

$2\left(\cos\dfrac\pi4+i\sin\dfrac\pi4\right)^4=2(\cos\pi+i\sin\pi)=-2$

At second glance, I think the 2s in the last two numbers should also be getting raised to the 3rd and 4th powers:

$\left(2(\cos20^\circ+i\sin20^\circ)\right)^3=8\left(\cos60^\circ+i\sin60^\circ\right)=4+4\sqrt3$

$\left(2\left(\cos\dfrac\pi4+i\sin\dfrac\pi4\right)\right)^4=16(\cos\pi+i\sin\pi)=-16$

4 0

2 years ago

How many miles would he ride all together ?

Murrr4er [49]

The picture isn’t showing up

6 0

2 years ago

Translate the phrase into an algebraic expression. The quotient of w and 4

Lady_Fox [76]

W/4 divide the two to find the quotient

4 0

2 years ago

Tina collects stuffed animals. She has 8 teddy bears, 9 dogs, 10 frogs, and 6 monkeys. What is the ratio of monkeys to teddy

astraxan [27]

Answer:

it's c

Step-by-step explanation:

there are 8 bears and 6 monkeys!

hope this helps:)

3 0

2 years ago

A motorcycle cost $12,000 when it was purchased. The value of a motorcycle decreases by 6% each year. Find the rate of decay eac

dalvyx [7]

the rate of decay each month can calculated using the following formula:

6%/year × 1 year/(12 months) = 0.5%/month
0.06 x 1/12 = 0.005/month
So the 0.5% is the right answer.
I hope it helped.

4 0

2 years ago