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elena55 [62]
3 years ago
5

Evelyn is making a costume for her school play. She needs to buy 2 yards of cotton fabric at a cost of $3.49 per yard, and 1/2 y

ard of satin fabric at $5.98 per yard. She has $15 to spend on the fabric. Use mental math to determine if she will have enough money. Explain
Mathematics
1 answer:
Elanso [62]3 years ago
7 0
Round 3.49 to 3.50
multiply by 2: 7 dollars
round 5.98 to 6.00
multiply by 1/2: 3 dollars
7 dollars +3 dollars= 10 dollars
She will have enough money
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Use demovires theorem to write the complex number in trigonometric form.
Anastasy [175]
\sqrt3+i=2\left(\dfrac{\sqrt3}2+\dfrac12i\right)

\begin{cases}\cos\dfrac\pi6=\dfrac{\sqrt3}2\\\\\sin\dfrac\pi6=\dfrac12\end{cases}

\implies\sqrt3+i=2e^{i\pi/6}

By DeMoivre's theorem,

(\sqrt3+i)^3=(2e^{i\pi/6})^3=8e^{i\pi/2}=8\left(\cos\dfrac\pi2+i\sin\dfrac\pi2\right)=8i
3 0
3 years ago
Can someone pleaseeee help if you’re correct I’ll give u brainlist
Fynjy0 [20]

Answer:

if im correct the answer is 70

Step-by-step explanation:

A circle has a 360 degree angle so what I did is i added 85+80+125 and i got 290. 360-290=70

4 0
3 years ago
Given a radius of 9 inches, estimate the length of arc s to the nearest hundredth.
malfutka [58]

The question is incomplete, here is the complete question:

Given a radius of 9 inches intercepted by the central angle 60°. Estimate the length of arc 'S' to the nearest hundredth.

<u>Answer:</u> The arc length of the circle is 9.42 inches

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

To calculate the length of the arc, we use the formula:

S=2\pi r(\frac{\theta}{360})

where,

S = arc length = ?

r = radius of the circle = 9 inches

\theta = central angle = 60°

Putting values in above equation, we get:

S=2\times 3.14\times 9\times (\frac{60}{360})\\\\S=9.42in

Hence, the arc length of the circle is 9.42 inches

6 0
3 years ago
Read 2 more answers
Can you help don’t understand
densk [106]
7^4 * 4^7




hope this helps
8 0
2 years ago
An airplane takes off 12.5 miles south of a city and flies due north at a constant speed of 170 miles per hour. What is the plan
atroni [7]

Answer:

Option B

Step-by-step explanation:

Speed is distance moved per unit tine and is expressed as s=d/t

Making d the subject then

d=st

Where d is distance, s is speed and t is time taken in time.

Conversion

1 hour has 60 minutes hence 45 mins converted to hours will be 45/60=0.75

Substituting 0.75 hours for t and 170 mph for s then

d=0.75*170=127.5 miles due North

However, tge plane had initially moved 12.5 miles hence the relative distance due North will be 127.5-12.5=115 miles due North

7 0
3 years ago
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