How would you find the area of this figure?

Jandi has 9 kittens. 3 are pure black. 2 are black and white. One is pure white. How many kittens to total are not one of the na

Nadusha1986 [10]

First you add 3 and 2 so that is 5 and then you subtract 5 from 9 so the answer is 4.

4 0

3 years ago

A wholesaler requires a minimum of 4 items in each order from its retail customers. The manager of one retail store is consideri

Nataliya [291]

Answer:

It is the last graph: solid line, shaded area over the line x = 2 - x/2

Explanation:

1) Set the algebraigic expression that represents the combinations of sofa and pillow orders:

Number of sofas: x (given)
Number of pillows: 2y (given, since they come in pairs)
Number of items = number of sofas + number of pillows = x + 2y
Minimum of 4 items in each order (given) ⇒ x + 2y ≥ 4

2) Predict the graph of the inequality x + 2y ≥ 4

The border line is the equation x + 2y = 4
You can choose two points to draw a line
Choose the axis-intercepst:

x = 0 ⇒ 2y = 4 ⇒ y =4/2 ⇒ y = 2 ⇒ point (0,2)

y = 0 ⇒ x = 4 ⇒ point (4,0)

Then the lines goes through (0,2) and (4,0) ... [the four graphs meet this]

The shading area is above the line because when you solve for y you get y ≥ 2 - x/2, and the line is included because the "equal to" part of the symbol (≥ means greater than or equal to).

To state that the line is included the graph uses a continous line instead of a dotted one.

3) Conclusion:

That means that the correct graph is the last one: solid line, shaded area over the line y = 2 - x/2.

Note: a more detailed graph would include the fact that the items cannot be negative, i.e. x ≥ 0 and y ≥ 0, which would result in that the shaded area would be on the first quadrant.

5 0

3 years ago

Read 2 more answers

I need help with this question

Novay_Z [31]

Answer:

$\frac{\sqrt{3} - 1}{2\sqrt{2}}$

$\frac{-(\sqrt{3} + 1)}{2\sqrt{2}}$

$- \frac{\sqrt{3} - 1}{\sqrt{3} + 1}$

Step-by-step explanation:

Given $\frac{11 \pi}{12} = \frac{3 \pi}{4} + \frac{\pi}{6}$

(A) $sin(\frac{11\pi}{12}) = sin (\frac{3 \pi}{4} + \frac{\pi}{6})$

We know that Sin(A + B) = SinA cosB + cosAsinB

Substituting in the above formula we get:

$sin (\frac{3\pi}{4} + \frac{\pi}{6}) = \frac{1}{\sqrt{2}} . \frac{\sqrt{3}}{2} + \frac{-1}{\sqrt{2}}. \frac{1}{2}$

$$ \implies \frac{1}{\sqrt{2}} (\frac{\sqrt{3} - 1}{2}) = \frac{\sqrt{3} - 1}{2\sqrt{2}}$

(B) Cos(A + B) = CosAcosB - SinASinB

$cos(\frac{11\pi}{12}) = cos(\frac{3\pi}{4} + \frac{\pi}{6}})$

$\implies \frac{-1}{\sqrt{2}}. \frac{\sqrt{3}}{2} - \frac{1}{\sqrt{2}} . \frac{1}{2}$

$\implies cos(\frac{11\pi}{12}) = cos(\frac{3\pi}{4} + \frac{\pi}{6})$

$$ = \frac{-(\sqrt{3} + 1)}{2\sqrt{2}}$

(C) Tan(A + B) = $\frac{Sin(A +B)}{Cos(A + B)}$

From the above obtained values this can be calculated and the value is $- \frac{\sqrt{3} - 1}{\sqrt{3} + 1}$ .

3 0

3 years ago

If you wish to calculate the interest on an investment with a rate of 3.58%, what number will you plug into your equation?

irina [24]

To get a certain percentage as a decimal, all you have to do is divide this percentage by 100.

Applying this on the given question, we will find that:
3.58% = (3.58) / (100) = 0.0358

Comparing the calculated value to the given choices, we will find that the correct choice is:
c) 0.0358

6 0

3 years ago

Read 2 more answers

Which polygon appears to be a regular polygon?

nevsk [136]

Answer:

D appears to be a regular polygon ..

The definition of a polygon is to have all the same angles which appears to be D

6 0

3 years ago

Read 2 more answers