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2 years ago

All whole numbers can also be classified as integers and rational numbers. True False

Mathematics

1 answer:

zaharov [31]2 years ago

3 0

Answer:

True

Step-by-step explanation:

We use definitions to help us in this problem. The definition of an integer is a whole number that is not a fraction or has any fractional value. This definition includes all whole numbers, so we know that all whole numbers can be classified as integers. That's one condition done. The definition of a rational number is a number that can be written as a fraction. All whole numbers can be written as a fraction (i.e. 12/1, -3/1, 10000/1). This means that all whole numbers are also rational numbers, giving us our final answer of True.

FINAL ANSWER: True

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Find the surface area of the composite figure

Gnoma [55]

Answer:

$=280$ $in^2$

Step-by-step explanation:

----------------------------------------

Let's find the surface area of the pink rectangular prism first.

$2*10=20+20=40$

$4*10=40+40=80$

$4*2=8+8=16$

$40+80+16=136$

The surface area for the pink rectangular prism is $136$ $in^2$ .

-------------------->>>>>

Now, let's find the surface area of the green rectangular prism.

$4*7=28+28=56$

$4*4=16+16=32$

$56+56+32=144$

The surface area for the green rectangular prism is 144 $in^2$ .

-------------------->>>>>

Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.

$136+144=$

$=280$ $in^2$

----------------------------------------

Hope this is helpful.

6 0

3 years ago

Read 2 more answers

What is y=-10x's constant of proportionality and how would describe a graph's constant rate of change.

Fantom [35]

Okay, so here, we know that -10 is the slope, therefore, it is also the constant of proportionality.

'x' is the unknown value, that tells us to multiply by -10.

So, on a graph, we would consider that per unit, it would decrease by -10, since its a negative slope.

Hope I helped, if you have further questions or concerns, feel free to PM me. Thanks! :D

5 0

3 years ago

Find the components of the vertical force Bold Upper FFequals=left angle 0 comma negative 10 right angle0,−10 in the directions

quester [9]

Solution :

Let $v_0$ be the unit vector in the direction parallel to the plane and let $F_1$ be the component of F in the direction of $v_0$ and $F_2$ be the component normal to $v_0$ .

Since, $|v_0| = 1,$

$(v_0)_x=\cos 60^\circ= \frac{1}{2}$

$(v_0)_y=\sin 60^\circ= \frac{\sqrt 3}{2}$

Therefore, $v_0 = \left$

From figure,

$|F_1|= |F| \cos 30^\circ = 10 \times \frac{\sqrt 3}{2} = 5 \sqrt3$

We know that the direction of $F_1$ is opposite of the direction of $v_0$ , so we have

$F_1 = -5\sqrt3 v_0$

$=-5\sqrt3 \left$

$= \left$

The unit vector in the direction normal to the plane, $v_1$ has components :

$(v_1)_x= \cos 30^\circ = \frac{\sqrt3}{2}$

$(v_1)_y= -\sin 30^\circ =- \frac{1}{2}$

Therefore, $v_1=\left< \frac{\sqrt3}{2}, -\frac{1}{2} \right>$

From figure,

$|F_2 | = |F| \sin 30^\circ = 10 \times \frac{1}{2} = 5$

∴ $F_2 = 5v_1 = 5 \left< \frac{\sqrt3}{2}, - \frac{1}{2} \right>$

$=\left$

Therefore,

$F_1+F_2 = \left< -\frac{5\sqrt3}{2}, -\frac{15}{2} \right> + \left< \frac{5 \sqrt3}{2}, -\frac{5}{2} \right>$

$= = F$

3 0

3 years ago

What is the equation for the line of reflection that maps the trapezoid onto itself?

kvv77 [185]

The line that maps a figure onto itself is a line of symmetry of the figure.

From the given trapezoid, the line of symmetry of the trapezoid is x = -2.

Therefore, the <span>equation for the line of reflection that maps the trapezoid onto itself</span> is x = -2.

6 0

3 years ago

Read 2 more answers

Put this equation into slope- intercept form. -2x + 3y = 9

AveGali [126]

Answer:

y = 2/3x + 3

Step-by-step explanation:

In order to put it in slope intercept form (y = mx + b), y needs to be isolated.

Add 2x to both sides:

-2x + 3y = 9

3y = 2x + 9

Then, divide both sides of the equation by 3.

3y = 2x + 9

y = 2/3x + 3 is the equation in slope intercept form

8 0

3 years ago