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3 years ago

Help on 15 and 16 its geometry!!

Mathematics

1 answer:

Fofino [41]3 years ago

6 0

Step-by-step explanation:

15. If A and B are complementary angles, then sin A = cos B and cos A = sin B.

So if sin A = m, then cos B = m.

16. If sin A = cos B, or cos A = sin B, and A and B are acute, then A and B are complementary.

a. cos 60° = sin θ

60° + θ = 90°

θ = 30°

b. sin 71° = cos θ

71° + θ = 90°

θ = 19°

c. sin θ = cos (θ + 20°)

θ + θ + 20° = 90°

2θ = 70°

θ = 35°

d. sin (θ − 60°) = cos θ

θ + θ − 60° = 90°

2θ = 150°

θ = 75°

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Andrea was watching her brother in the ocean and noticed that the waves were coming into the beach at a frequency of 0.367347 Hz

anygoal [31]

Answer:

<u>18 waves</u> hit the beach in 49 s.

Step-by-step explanation:

Given:

The frequency of the waves that were coming into the beach is 0.367347 Hz.

Now, to find the number of waves that hit the beach in 49 s.

Let the number of waves be $n.$

The frequency of waves ( $f$ ) = 0.367347 Hz.

The time it takes to hit the beach ( $t$ ) = 49 s.

Now, we put formula to get the number of waves:

$f=\frac{n}{t} \\\\0.367347=\frac{n}{49} \\\\Multiplying\ both\ sides\ by\ 49\ we\ get:\\\\18.000003=n\\\\n=18.000003.$

<u><em>The number of waves = 18.</em></u>

Therefore, 18 waves hit the beach in 49 s.

8 0

4 years ago

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!

Kamila [148]

Answer:

Twelve tickets cost $30 --> True

Thirty tickets cost $12 --> False

Each additional costs $2.50 --> True

The table is a partial rep --> True

ordered pairs --> False

Step-by-step explanation:

Twelve tickets cost $30 --> True, you can literally see that in the table

Thirty tickets cost $12 --> False, 30 is not in the table so you don't have that information. Besides, $12 is an unlikely low value for so many tickets.

Each additional costs $2.50 --> True, you can see the difference in the TotalCost column to be consistently 2.50.

The table is a partial rep --> True, values below 11 are not shown for example.

ordered pairs --> False --> Then the x value should be first, e.g., (11, 27.50), since the cost y is a function of the number x.

3 0

3 years ago

Shirt $28<br> Tax Rate 9%<br> tax<br> total

miv72 [106K]

Answer:

Tax is $2.52 and the total is $30.52

Step-by-step explanation:

9% of 28 is 2.52 and yeah.

6 0

3 years ago

Read 2 more answers

Calculating area of rectangle

PSYCHO15rus [73]

Answer:

$Area = 216.108cm^2$ --- You

$Area = 216.940cm^2$ --- Another student

Reason: Because there is a variation in the given dimensions

Step-by-step explanation:

Given

Your measurement

$Length = 20.70cm; Width =10.44cm$

Another students'

$Length = 20.74cm; Width =10.46cm$

Solving (a): The area

Area is calculated as:

$Area = Length * Width$

For you

$Area = 20.70cm * 10.44cm$

$Area = 216.108cm^2$

For the other student

$Area = 20.74cm * 10.46cm$

$Area = 216.940cm^2$

Solving (b): Reason for the variation in the areas

The given measurements are estimates of the dimensions of the rectangle.

Since there is a variation in the estimates, there will be some level of variation in the calculated area.

4 0

3 years ago

Find the midpoint of the line segment whose endpoints are (2.6,5.1) and (3,4.7).

svp [43]

Answer:

Mid point is: (2.8;4.9)

Step-by-step explanation:

To find midpoint of a line segment we can use the general equation:

$Mid=\frac{x_1+x_2}{2} ;\frac{y_1+y_2}{2}$

Where the point of the line are: (x₁;y₁) and (x₂;y₂).

In the problem, x₁ = 2.6, y₁ = 5.1 and x₂ = 3 and y₂ = 4.7. Replacing in the equation:

$Mid=\frac{2.6+3}{2} ;\frac{5.1+4.7}{2}$

<h3>Mid point is: (2.8;4.9)</h3>

7 0

4 years ago