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2 years ago

There are 92 folding chairs in all. How many rows of 8 chairs each can be formed? How

Mathematics

1 answer:

OleMash [197]2 years ago

5 0

Answer:

There will be total 11 rows having 8 chairs in each and 4 chairs will be left over.

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Explain how you can use strategy guess check and revise to solve problems that involve a given area when the relationship betwee

Aleksandr-060686 [28]

You can try finding numbers that are close to what you think you can use for exaple lets say we want to find the answer to 54x34 you could multiply 50x30 to get an estimated answer

3 0

2 years ago

Given y = log3(x + 4), what is the range?

lora16 [44]

Answer:

The range is all real numbers.

The domain is all reals numbers that are greater than -4.

Step-by-step explanation:

$y=\log_3(x+4)$ only exists when $x+4$ is positive.

You can take the log of a negative or 0 number.

So $x+4>0$ implies $x>-4$ . (I just subtract 4 on both sides.)

So the domain is x>-4. You should see this also when you graph the curve that the curve only exist to the right of -4.

Now the range. The range is where the curve exist for the y-values.

The equivalent exponent form of $y=\log_3(x+4)$ is $3^{y}=x+4$

We can solve this for x be subtract 4 on both sides:

$x=3^y-4$

Now here y can be anything; there are no restrictions on the exponent.

Also if you look at the graph of $y=\log_3(x+4)$ you should see every y getting hit by the curve (look down to up; use the y-axis as a guide).

Let's think about the inverse I found above a little more (I'm going to swap x and y).

$y=3^x-4$ .

If we look at the domain and range of this we can just swap it to get the domain and range of $y=\log_3(x+4)$ .

$y=3^x-4$ is an exponential function of 3^x that has been moved down 4 units.

The range since it has been moved down 4 units is $(-4,\infty)$ .

The domain of an exponential function is all real numbers. There are no restrictions on what you can plug in for x.

So swapping these to find the domain and range of $y=\log_3(x+4)$ :

Domain: $(-4,\infty)$

Range : $(-\infty,\infty)$

4 0

2 years ago

The distance be<br> Find the distance between P and Q

Lelu [443]

9514 1404 393

Answer:

Step-by-step explanation:

The distance formula is useful.

d = √((x2 -x1)^2 +(y2 -y1)^2)

d = √((7 -1)^2 +(12 -4)^2) = √(6^2 +8^2) = √(36 +64) = √100

d = 10

The distance between P and Q is 10.

_____

<em>Additional comment</em>

You may recognize the run : rise ratio of 6 : 8 = 3 : 4. This suggests a 3-4-5 right triangle with a scale factor of 2. If you're familiar with that Pythagorean triple, you can write down the answer as soon as you see the rise and run numbers.

4 0

2 years ago

1) The angle of elevation of the top of the building at a distance of 50 m from its foot on a horizontal

seropon [69]

Answer:

the height of the building is 86.6m

Step-by-step explanation:

In the right triangle, the height which we are looking for is the opposite side, since it is opposite to the angle 60°

Now we need to find the height of the building

tanθ = Opposite side/Adjacent side

tan 60° = Opp side/Adj side

1.7321 = Opp side/50

1.7321 x 50 = Opp side

Opp side = 50 x 1.7321

Opp side = 86.6 m

Therefore, the height of the building is 86.6m.

8 0

2 years ago

Translate this sentence into an equation.

natka813 [3]

Answer:

c times 6 equals 96

Step-by-step explanation:

5 0

2 years ago