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2 years ago

Jake and Becky measured the circle-shaped part of a sun they drew on the sidewalk.

Mathematics

1 answer:

SIZIF [17.4K]2 years ago

8 0

Answer:

3847

Step-by-step explanation:

To get your radius

diameter/2= 70/2=35.

Radius=35

Area=πr^2 =3.14x 35x35= 3846.5

approximately=3847

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Find the product of the complex numbers. Express your answer in trigonometric form. z1 = 5(cos(25) + isin(25)) z2 = 2(cos(80) +

zmey [24]

solution:

Z1 = 5(cos25˚+isin25˚)

Z2 = 2(cos80˚+isin80˚)

Z1.Z2 = 5(cos25˚+isin25˚). 2(cos80˚+isin80˚)

Z1.Z2 = 10{(cos25˚cos80˚ + isin25˚cos80˚+i^2sin25˚sin80˚) }

Z1.Z2 =10{(cos25˚cos80˚- sin25˚sin80˚+ i(cos25˚sin80˚+sin25˚cos80˚))}

(i^2 = -1)

Cos(A+B) = cosAcosB – sinAsinB

Sin(A+B) = sinAcosB + cosAsinB

Z1.Z2 = 10(cos(25˚+80˚) +isin(25˚+80˚)

Z1.Z2 = 10(cos105˚+ isin105˚)

5 0

3 years ago

The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho

mestny [16]

30 ounces of the coffee John likes consists of

$0.96\cdot30=28.8$ ounces of water
$0.04\cdot30=1.2$ ounces of cocoa

To this mixture we're adding $x$ ounces of water, so that the new mix has a total volume of $30+x$ ounces and matches the composition of the coffee Lily likes. This means it would consist of

$0.973\cdot(30+x)=28.8+x$ ounces of water
$0.027\cdot(30+x)=1.2$ ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for $x$ :

$0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x$

$\implies0.39=0.027x$

$\implies x\approx14.4$

###

Just to confirm: the new mixture consists of

$28.8+14.4=43.2$ ounces of water
$1.2+0=1.2$ ounces of cocoa

giving a total volume of $43.2+1.2=44.4$ ounces of coffee, and $\dfrac{43.2}{44.4}\approx0.973$ , as required.

4 0

3 years ago

What is the answer if the wholesale price is $68 and the markup is 85%

Brums [2.3K]

Answer: 57.8

Step-by-step explanation: you can eithere do 68 % 85 or other way which i forgot

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2 years ago

Name 4 equivalent fractions that equall to 0.7

Mice21 [21]

7/10
70/100
700/1000
7000/10000

5 0

3 years ago

Read 2 more answers

For which function will both ordered pairs (2, 8) and (6, 12) be solutions?

boyakko [2]

Answer:

y=6+x

Step-by-step explanation:

2+6=8 6+6=12

6 0

3 years ago