Ask question

Ask question

All categories

3 years ago

10

What related number sentence shows the commutative property of addition 3plus8equl12

1 answer:

Karo-lina-s [1.5K]3 years ago

4 0

3 + 8 = 12 and 8 + 3 = 12

You might be interested in

Erwan accelerates his car at 3 km/h per second while overtake a lorry. If he drives with a speed of 90 km/h, calculate his speed

Luba_88 [7]

3 km / h every second for 10 seconds = 30 km / hr

90 + 30 = 120 km / hr

8 0

3 years ago

Csc x= -√2 for π≤x≤3π/2

love history [14]

Answer:

A

Step-by-step explanation:

We can write this as Sinx by "flipping" the $-\sqrt{2}$ .

So we will have: $Sin(x)=-\frac{1}{\sqrt{2} }$

From basic trigonometry, we know the value of $\frac{1}{\sqrt{2}}$ of sine is of the angle $\frac{\pi}{4}$

<em>But when is sine negative? </em>Either in 3rd or 4th quadrant. But the answer has to be between 0 and $\frac{3\pi}{2}$ , <em>so we disregard 4th quadrant.</em>

<em />

<em>To get the angle in 3rd quadrant, we add π to the acute angle of the first quadrant (which is π/4 in our case).</em><u><em> Thus we have:</em></u>

$\frac{\pi}{4}+\pi\\=\frac{\pi +4\pi}{4}\\=\frac{5\pi}{4}$

A is the right answer.

7 0

3 years ago

The function f(x) = { x + 1 is used to complete this Which statements are true of the given function? Check all that apply. tabl

Dmitry [639]

Answer:

Options (1) and (5)

Step-by-step explanation:

Expression that defines the function is,

$f(x)=\frac{1}{2}x+\frac{3}{2}$

Option 1

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

$=-\frac{1}{4}+\frac{3}{2}$

$=-\frac{1}{4}+1+\frac{1}{2}$

$=1+\frac{1}{4}$

$=1\frac{1}{4}$

So, $f(-\frac{1}{2} )=-2$ is false.

Option 2

f(0) = $\frac{1}{2}(0)+\frac{3}{2}$

= $\frac{3}{2}$

True.

Option 3

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

= $\frac{3+1}{2}$

= 2

Therefore, f(1) = -1 is false.

Option 4

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

$=1+1+\frac{1}{2}$

$=2\frac{1}{2}$

Therefore, f(2) = 1 is false.

Option 5

f(4) $=\frac{1}{2}(4)+\frac{3}{2}$

$=2+\frac{3}{2}$

$=\frac{4+3}{2}$

$=\frac{7}{2}$

True.

Options (1) and (5) are the correct options.

5 0

3 years ago

Which system of inequalities does the graph represent? Which test point satisfies both of the inequalities in that system?

aev [14]

Answer:

Ok so its -3;3

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is

alexgriva [62]

<h2>Answer:</h2>

<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>

<em>1308 33 cubic millimeters</em>

<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

$V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height$

While the volume of half a sphere is:

$V_{hs}=\frac{2}{3}\pi r^3$

Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

$V_{s}=\frac{4}{3}\pi r^3$

Then, the composite figure is:

$V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)$

The radius of the cylinder is the same of the radius of each half sphere. So:

$r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}$

7 0

3 years ago