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2 years ago

Determine the period.

Mathematics

1 answer:

maks197457 [2]2 years ago

5 0

3

The period is the amount it time it takes to make one complete cycle. If we start at 0 for simplicity sake, the graph is at its maximum point. It reaches its maximum point again at 3, this is one complete cycle and thus the period is 3.

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Grant bought more than 120 flower bulbs to plant in his garden. He bought 2 bags of tulip bulbs with 30 bulbs per bag. He also b

podryga [215]

Answer:

The minimum number of daffodils in each bag have to be 12.

Step-by-step explanation:

Given:

Grant bought more than 120 flower bulbs to plant in his garden.

He bought 2 bags of tulip bulbs with 30 bulbs per bag.

He also bought 5 bags of daffodil bulbs.

To find:

Least number of daffodil bulbs that could be in each bag = ?

Solution:

So, we know that Grant has more than 120 total flowers in his garden which means he has a minimum of 120 flowers in his garden. So, for calculation we will consider the total number of flowers in his garden as 120.

But we need to find the minimum number of daffodils in each bag so that all the flowers add up to 120.

Let the number of daffodils in each bag be ‘x’.

So, from the given information we can form the following expression.

Tulips + daffodils =120

The number of tulip flowers are:

=2×30

=60

Therefore, total number of flowers:

60 + 5(x)=120

5(x)=120-60

5(x)=60

x=12

Hence the minimum number of daffodils in each bag have to be 12.

8 0

3 years ago

Pls Answer Quickly!<br><br>NO LINKS OR IRRELAVENT PICTURES

Ratling [72]

Answer:

Option B

Step-by-step explanation:

Given that cosθ = $-\frac{3}{10}$

Since, θ is an angle in quadrant II therefore, cosine value is negative

Now we will find the tangent ratio from the given triangle.

tanθ = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

From the given triangle,

By applying Pythagoras theorem in the given right triangle,

AC² = AB² + BC²

AB² = 10² - 3²

= 100 - 9

= 91

AB = √91

tanθ = $\frac{AB}{BC}$

Now, tanθ = $\frac{\sqrt{91} }{3}$

Since, θ is in second quadrant therefore, tangent of the angle will be negative.

tanθ = $-\frac{\sqrt{91} }{3}$

Option B is the answer.

3 0

3 years ago

The sum of two numbers is 32. Their difference is 30. What are the two numbers? Show all work

DiKsa [7]

Answer:

a=30 , b = 0

Step-by-step explanation:

let the two numbers be represented as a and b

a + b = 30... eqn 1

a - b = 30 ...... eqn 2

we then add the two equations to get values for a and b

a + b + a - b = 30 + 30

a + b + a -b = 60

2a = 60 ( diivide both sides by 2)

a = 30

we then put value for a = 30 into any of the equations to get b

a + b = 30, 30 + b= 30

b = 30 -30 , b = 0

to confirm if the answers are correct, we insert the values for a and b in the two equations.

a + b = 30..... eqn 1, 30 + 0 = 30

a - b = 30 ...... eqn 2 , 30 - 0 = 30

6 0

3 years ago

74/360 in simplest form

Umnica [9.8K]

Answer:

37/180

Step-by-step explanation:

Reduce this fraction by dividing both sides by 2. We get 37/180, which cannot be reduced further; 37 and 180 have no common factor.

8 0

3 years ago

After Rockwell farms installed an irrigation system, their yield per acre of corn rose 15% from 150 bushels per acre. what was t

AlekseyPX

Answer:

172.5 bushels per acre

Step-by-step explanation:

15%=0.15

0.15*150=22.5

150+22.5=172.5

5 0

3 years ago

Determine the period.​

Determine the period.