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2 years ago

12

A group of farmers planted 5 fields of vegetables. Of the fields they planted, 1/2 were planted with cabbage. How many fields of

cabbage did the farmers plant

1 answer:

Zolol [24]2 years ago

8 0

Answer:

Total number of fields of vegetables = 62

Step-by-step explanation:

You might be interested in

The triangle below has a total perimeter of 450 cm:

Korvikt [17]

Equation: 450 = 128 + 150 + n

work:

1st step:
128+150 = 278

2nd step:
450-278 = 172

answer: 172

3rd step (checking) :
450 = 128 + 150 + 172
450 = 278 + 172
450 = 450

3 0

2 years ago

Solve the right triangle. Round decimal answers to the nearest tenth.

AnnZ [28]

Answer:

See solution below

Step-by-step explanation:

According to pythagoras theorem

hyp^2 = opp^2 + adj^2

10^2 = 4^2 + b^2

100 = 16 + b^2

b^2 = 100-16

b^2 = 84

b = √84

b ≈ 9

Using SOH CHA TOA identity

sin B = AC/AB

Sin B = 9/10

B = arcsin0.9

B ≈ 64degrees

sinA = BC/AB

Sin A = 4/10

A = arcsin0.4

A ≈ 24degrees

5 0

2 years ago

For the following problem, assume that all given angles are in simplest form, so that if A is in QIV you may assume that 270° &l

d1i1m1o1n [39]

Answer:

Step-by-step explanation:

Given that angle A is in IV quadrant

So A/2 would be in II quadrant.

sin A = -1/3

cos A = $\sqrt{1-sin^2 A} =\frac{2\sqrt{2} }{3}$

(cos A is positive since in IV quadrant)

Using this we can find cos A/2

$cosA = 2cos^2 \frac{A}{2} -1\\Or cos \frac{A}{2} =-\sqrt{\frac{1+cosA}{2} } =-\sqrt{\frac{3+2\sqrt{2} }{6} }$

3 0

2 years ago

What answer is this?

klemol [59]

Answer:

option B

$\frac{31}{50}-\frac{4}{25} i$

Step-by-step explanation:

Given in the question a complex fraction

<h3>Step1</h3>

To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

$\frac{5+4i}{6+8i}(\frac{6-8i}{6-8i})$

<h3>Step2</h3>

Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

$\frac{30+24i-40i-32i²}{36-64i^{2} }$

<h3>Step3</h3>

Simplify the powers of i, specifically remember that i² = –1.

$\frac{62-16i}{36+64}$

<h3>Step4</h3>

$\frac{62}{100}-\frac{16i}{100}$

<h3>Step5</h3>

simply

$\frac{31}{50}-\frac{4}{25}i$

8 0

3 years ago

Find the volume r:7 h:7

sweet-ann [11.9K]

Answer:

V = 1077.566 units²

Step-by-step explanation:

Assuming this is a cylinder, the formula is (area of base) × (height)

or (πr²)(h), simply plug-in the given values:

= (π(7)²)(7)

= (153.938)(7)

V = 1077.566 units²

3 0

3 years ago