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2 years ago

Write the inequality: Two less than twice a number is less than a half.

Mathematics

1 answer:

Art [367]2 years ago

3 0

Answer:

2x-2<1/2

Step-by-step explanation:

when the problem says "two less than" it means we are subtracting 2 from something, in this case, that something is "twice a number" as the problem states. So we would write 2x where x is a variable that represents any number so we have 2x-2<1/2.

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Tamsen pays $12.50 of her monthly life insurance premium, and her

mixer [17]

Benefit she gets monthly is = 42.25-12.5= 29.75

annual value to Tamsen of this benefit= 12×29.75 = 357$

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2 years ago

The figure for the other questions

stira [4]

I can't really measure the angles. I can tell you what they look like they'd be. There are three reasons why not.
1. The paper is slightly bulged where your hand is
2. The circle is slightly distorted by the camera. This is not that critical.
3. It is very hard to measure on a computer screen.
There is nothing you could do to make it any better. In fact, given what you had to do, this is a pretty good representation.

The Three angles -- Question 22
Using the crudest tools you could imagine, I measured the angle where you have written two 90s between the arms as 132°. That angle opens towards the bottom of the page.

The angle that you have called 95 degrees is actually pretty close. I think you read the upper set of numbers on the protractor when you should have been reading the lower set. I make it 89, but I'll bet it is intended to be 90 degrees.

The third angle on your right is the same as the first one. It comes in at about 132° using my tools again.

Question 23
I can help you with this. When you are asked to make an equation, you have to use an equal sign somewhere.

The sum of the three angles should be 360° I'm going to create an error term because I'm almost sure what I measured won't make 360. All circles when you make angles from any point inside them should make angles that add up to 360° when measured with a protractor if the rays of the angles all start from the same point. [If you don't know what a ray is, call it "the arms of the angles"].

So let's create the equation.
Angle1 + angle2 + angle3 + E = 360°
Angle1 = 89°
Angle2 = 132°
Angle3 = 132°
E is the error that represents the amount away from 360. Your teacher doesn't expect you to get this or to set it into your equation. The main thing you were supposed to do is add up the angles as you tried to do and state what your total was. This is what was expected.
Total = angle1 + angle2 + angle3
Total = 89 + 132 + 132 = 353. My error is 7° too little. So in my equation E = 7°

What to do
Somebody had to mark this with that green felt. You have a teacher. Go to the teacher and ask to be shown how to read the protractor if that person knows. You just need a bit of help. If the teacher cannot tell you, go to someone in your class who knows about that sort of thing and ask them. You're pretty close to getting it.

6 0

2 years ago

(TEN POINTS)

Rainbow [258]

F(-1)= -3 is (-1,-3) and f(2) = 6 is (2,6) where f(x) = y
y=mx + b is the slope-intercept form whereas m equals the slope (rate of change) and b equals the y-intercept (initial amount/what y is when x is 0.)

First, we need to find the slope between the two points (-1,-3) and (2,6). To find the slope we could use one of it's formulas $\frac{y^2 - y^1}{x^2 - x^1}$ .
1. (-1,-3)
2. (2,6)
$\frac{6 - -3}{2 - -1}$ → $\frac{9}{3}$ → $\frac{3}{1}$

The slope is 3 ( $\frac{3}{1}$ ). Thusly, y = 3x + b

To find out the y-intercept, we can reverse the slope. [Note: This $\frac{3}{1}$ is in $\frac{rise}{run}$ where rise is 'y' and run is 'x'. Reversed would be $\frac{-3}{-1}$ ]. Take the second ordered pair and use our reversed slope on it until we get 0 for x.

(2, 6) ⇒ (2 - 1, 6 -3) ⇒ (1, 3) ⇒ (0,0)

Y-intercept is 0. Therefore, y= 3x + 0 [NOTE: y = f(x), so if you want it in function notation form it's just f(x) = 3x + 0.]

6 0

3 years ago

In the diagram, the origin is at the center of a cube that has edges 6 units long. The x-, y-, and z-axes are perpendicular to t

Novosadov [1.4K]

I think the answer is -3,3,3

4 0

3 years ago

Read 2 more answers

Could someone please explain/help me to do this using Pythagoras theorem?

alex41 [277]

Answer:

$\boxed{478.02}$

Step-by-step explanation:

→ First understand what Pythagoras theorem is

Pythagoras is a theorem used to find the hypotenuse (the side opposite to the right-angle) of a triangle. We would need the base lengths as well the height in order to use Pythagoras.

→ State the formula and identify the letters

a² + b² = c² ⇒ where 'a' is 380cm, 'b' is 290cm and 'c' is what we are trying to work out

→ Substitute in the values into the formula

380² + 290² = c²

⇒ Simplify

144400 + 84100 = c²

⇒ Collect the numbers together

228500 = c²

⇒ Square root both sides to find 'c'

478.0167361 = c

→ The length of the diagonal is 478.02

8 0

3 years ago