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vitfil [10]
3 years ago
6

If the sin 90° = 1, then the cos 0° = _____. (1 point)

Mathematics
2 answers:
tatyana61 [14]3 years ago
8 0

Answer:

cos 0° = 1

Step-by-step explanation:

In given triangle sin 90° = 1

and we know the relation between cosine and sin is represented by

sin x = cos (90-x)

Therefore, sin 90° = cos ( 90-90 )

                              = cos 0°

                              = 1

Therefore, cos 0° = 1 will be the answer.

Cloud [144]3 years ago
7 0
<span>sin 90° = 1
</span>
cos 0° = 1

There's a simple formula : <em>sin θ = cos (90°- θ)</em> or <em>cos θ = sin (90°- θ) </em>

So : cos 0° = sin (90° - 0°) = sin 90° = 1


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A 6-kilogram bag of rice costs $3.80. What is the unit price, rounded to the nearest cent?
iragen [17]

Answer:

The unit price is <u>63 cent</u> per kilogram bag of rice.

Step-by-step explanation:

Given:

A 6-kilogram bag of rice costs $3.80.

Now, to find the unit price.

So, to get the unit price we use unitary method:

If cost of 6 kilogram bag of rice = $3.80.

Then cost of 1 kilogram bag of rice = \frac{3.80}{6}  = \$0.633.

Thus, the unit price is $0.633 per kilogram bag of rice.

Now, according to question we convert the unit price into cent by using conversion factor:

$1 = 100 cent

$0.633 = 0.633\times 100=63.3\ cent.

<em>So, rounded to nearest cent  = 63 cent.</em>

Therefore, the unit price is 63 cent per kilogram bag of rice.

7 0
3 years ago
A farmer owns a 100 acre farm and plans to plant at most three crops. The seed for crops A,B, and C costs $40, $20, and $30 per
aev [14]

Answer:

The number of acre per crop for maximum profit is;

Crop A = 0 acres

Crop B = 60 acres

Crop C = 40 acres

Profit, P = $26,000

Step-by-step explanation:

We plant A in X acres

B in Y acres and

C in Z acres

Therefore, X + Y + Z ≤ 100

we work A for 1·X workdays

B for 2·Y workdays and

C for 1·Z workdays

Where X + 2·Y + Z ≤ 160

$40·X for crop A

$20·Y for crop B and

$30·Z for crop C is spent whereby

$40·X + $20·Y + $30·Z ≤ $3200

The farmer makes

$100·X from crop A

$300·Y from crop B and

$200·Z from crop C

P = $100·X + $300·Y + $200·Z

Therefore, we have three equations with three unknowns solving the equations simultaneously, we have

X + Y + Z = 100....................................................(1)

X + 2·Y + Z = 160.................................................(2)

$40·X + $20·Y + $30·Z = $3200....................(3)

By subtracting equation (1) from (2) gives Y = 60 acres

Multiplying equation (1) by 40 and subtracting from (3) we  have Z = -40

and therefore, Y = 80

If he plants only B the farmer has 2 work day per acre and since there is a max of 160 days, he can only plant on 80 acres, therefore, total profit = $300 × 80 = $24,000

Comparing the profit per acre to the seed cost we have Profit for seed A = $100 while cost = $40 per acre,

If we remove seed A we have

Y + Z = 100....................................................(4)

2·Y + Z = 160.................................................(5)

$40·X + $20·Y + $30·Z = $3200....................(3)

Solving equation (4) and (5), we have Y = 60 acres and Z = 40 acres

Therefore, the profit becomes

$300 × 60 + $200 × 40 = $26,000.

3 0
3 years ago
Use a protractor to draw a parallelogram that has side lengths of 8 centimeters and 6 centimeters and two adjacent angles that m
photoshop1234 [79]

Answer:

B. 40 degrees and 140 degrees.

Step-by-step explanation:

please tell me if this is wrong

4 0
2 years ago
What is the formula to find the measure of each interior angle of a regular polygon
Setler [38]

Answer:

A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.

Step-by-step explanation:

There ya go.. :)

7 0
3 years ago
The function fx) is graphed below.
Shtirlitz [24]

Answer:

D. 2

Step-by-step explanation:

following the graph you can see that -2 on the x line comes across to 2 in y line

3 0
3 years ago
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