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Anit [1.1K]
3 years ago
13

Is r=3 a solution to the inequality r+4>7

Mathematics
1 answer:
crimeas [40]3 years ago
5 0
No, r=3 can’t be a solution to this inequality. If we plug it in we get: 3+4>7 or 7>7 which is false. r should be more than 3.
You might be interested in
Please help!!!!! Math is very confusing and this makes no sense
vodomira [7]

The missing figure is attached down

The length around the outside of the track is about 431 feet

Step-by-step explanation:

A running track has the shape of a rectangle capped with a semicircle on each end

  • The track is 80 feet wide
  • The rectangular portion of the track is 90 feet tall

We need to estimate the length around the outside of the track

The length of the outside the track is the length of two semi-circle and two straight lengths of the rectangle

∵ The track is 80 feet wide

- From the figure the width of the track is the diameter of the

  semi-circles

∴ The diameter of each semi-circle = 80 feet

∵ The radius of a circle is half its diameter

∴ The radius of each semi-circle = \frac{1}{2} × 80 = 40 feet

∵ The length of a circle = 2πr

∴ The length of a semi-circle = πr

∴ The length of two semi-circle = 2 × πr

- Substitute r by 40

∴ The length of two semi-circle = 2 × π(40) = 80π feet

∵ The rectangular portion of the track is 90 feet tall

∴ The length of the rectangle = 90 feet

∴ The two straight parts of the track = 2 × 90 = 180 feet

- Add the length of the two semi-circles and the two straight

   parts to find the length of the track

∵ Length of the track = 80π + 180

- Substitute π by 3.141

∴ Length of the track = 80(3.141) + 180

∴ Length of the track = 431.28 ≅ 431 feet

The length around the outside of the track is about 431 feet

Learn more:

You can learn more about the circle in brainly.com/question/1952668

#LearnwithBrainly

5 0
3 years ago
ILL MARK BRAINLIEST!
Gre4nikov [31]

Answer:

Median

Step-by-step explanation:

Center of distribution is the middle of a distribution, much like the median. The median of a set of numbers is the number in the middle. Since these two are pretty similar, median would be the best to describe the centers of distribution out of the terms provided.

Edit: I'm leaning towards B.) Both aren't symmetrical

6 0
3 years ago
3 times the sum of a number w and 5
DedPeter [7]

Answer: 3× (w +5)

Step-by-step explanation:

3 0
2 years ago
Q1 (16pts) – Mandatory Show all the steps you took to calculate the number. If you only show the final result (and not the steps
xeze [42]

Answer:

1. 69

2. 2989

3. Incomplete

Step-by-step explanation:

1. Covert 1000101 from base 2 to base 10

To convert a number from base 2 to base 10, we have to multiply individual digits of that number by the power of the base the digit represent.

First, we start our digit representation from the rightmost digit to the leftmost digit

This will give us

1

0

1

0

0

0

1

(notice that the digits are represented in a backward direction)

The first digit is at position 0, the next is at position 1, the next is at 2 till we get to the last digit; i.e.

1 -> 0

0 -> 1

1 -> 2

0 -> 3

0 -> 4

0 -> 5

1 -> 6

The next step is to remove the 0 individual digits, so we have

1 -> 0

1 -> 2

1 -> 6

After the we multiply the individual digits by the power of the base the digit represent

In this question, we're dealing with base 2

So, this gives us

1 * 2^0 = 1 * 1 = 1

1 * 2^2 = 1 * 4 = 4

1 * 2^6 = 1 * 64 = 64

The last step is to add up the results above

1 + 4 + 64 =69

2. Convert bad from base 16 to base 10

We apply the same method in question 1 to this

First, we start our digit representation from the rightmost to the leftmost digit

d

a

b

Then we introduce the position

d -> 0

a -> 1

b -> 2

There's no 0 digits in this, so we skip this step.

The next step after this is to convert each hexadecimal alphabet to hexadecimal digits

The hexadecimal represents digits in the following way;

0 1 2 3 4 5 6 7 8 9 a b c d e f

Notice that after 9, it switched to alphabet a, then b till it gets to f

The alphabets represents numbers. a represents 10; b, 11; c, 12; d, 13; e, 14 and f, 15.

So, our hexadecimal alphabets will be replaced with the digits equivalent

13 -> 0

10 -> 1

11 -> 2

Then we multiply the individual digits by the power of the base of the digits represent.

Here, we're dealing with base 16.

So, we have

13 * 16^0 = 13 * 1 = 13

10 * 16^1 = 10 * 16 = 160

11 * 16^2 = 11 * 256 = 2816

Then we add these results

13 + 160 + 2816 = 2989

3. Incomplete question.

In question 1, we converted from base 2 to base 10

Here, I'll convert the result in question 1 to base 2

So I'll be working base on this following question.

Convert 69 in base 10 to base 2

Converting from base 10 to any base requires division (unlike question 1 and 2 above)

An important thing to note is the remainder and the resulting quotient (as, will be seen later)

It's also to be noted that, the division will not stop until the resulting quotient equals 0.

Also, the divisor will be the base we're converting from.

The divisor is 2, in this case.

Step 1. Divide 69 by 2

69/2 = 34 remainder 1.

Is 34 equals to 0? No.

Meaning that we have to continue dividing

Step 2. 34/2 = 17 remainder 0

Step 3. 17/2 = 8 remainder 1

Step 4 8/2 = 4 remainder 0

Step 5. 4/0 = 2 remainder 0

Step 6. 2/2 = 1 remainder 0

Step 7. 1/2 = 0 remainder 1

We stop here, because our quotient is now 0

Our results is the reminder; but we have to pick each remainder from the bottom to the top;

i.e. 1000101

So, 69 in base 10 equals 1000101 in base 2

5 0
3 years ago
Solve in(5x+7)=8 round to the nearest thousandth
Ivan

Answer:

x=\frac{1}{5}

x=0.2

Step-by-step explanation:

(5x+7)=8

5x+7=8

Subtract 7 from both sides.

5x+7-7=8-7

Simplify.

5x=1

Divide both sides by 5.

\frac{5x}{5} =\frac{1}{5}

Simplify.

x=\frac{1}{5}

Decimal form:

0.2

7 0
3 years ago
Read 2 more answers
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