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Alika [10]
3 years ago
12

there can be at most 1100 people in the Pokémon conference room. There are currently 20 tables set up the canned seat 10 people

each. there are additional tables in storage that seats 25 people each
Mathematics
1 answer:
enyata [817]3 years ago
4 0
20x10= 200
1100-200=900
900/25=36
There are 36 additional tables in storage. Of course if that’s what your question is.
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tom and jane want to build a round swimming pool in their backyard that is 20 feet across . how many square feet will the pool b
natulia [17]
Tom and Jane r rich !
6 0
2 years ago
Please Help Me ;-;
ANTONII [103]

slope  = (y2-y1)/(x2-x1)

      =  (2--1)/(5-1)

      = (2+1)/(4)

       =3/4


The point slope from of a line is

y-y1 = m(x-x1)

y--1 = 3/4 (x-1)

y+1 = 3/4 (x-1)

3 0
3 years ago
Solve each trigonometric equation such that 0 ≤ x ≤ 2????. Give answers in exact form.
sveticcg [70]

Answer:

(a) x=\frac{5\pi }{3}

(b)  x=\frac{\pi }{8}

Step-by-step explanation:

It is given that 0\leq x\leq 2\pi

(a) We have given equation 2sinx+\sqrt{3}=0

sinx=\frac{-\sqrt{3}}{2}

x=sin^{-1}(-0.866)

x=\frac{-\pi }{3}=2\pi -\frac{\pi }{3}=\frac{5\pi }{3}

(b) tan(2x)=1

2x=tan^{-1}1

2x=\frac{\pi }{4}

x=\frac{\pi }{8}

7 0
3 years ago
A<br> Write the equation for<br> line that<br> passes through (1, 1) and (-1,7)
KengaRu [80]

Answer:y=-3x+4

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(1,1) and (-1,7).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (1,1), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=1 and y1=1.

Also, let's call the second point you gave, (-1,7), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-1 and y2=7.

Now, just plug the numbers into the formula for m above, like this:

m=

7 - 1

-1 - 1

or...

m=

6

-2

or...

m=-3

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-3x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(1,1). When x of the line is 1, y of the line must be 1.

(-1,7). When x of the line is -1, y of the line must be 7.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-3x+b. b is what we want, the -3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (1,1) and (-1,7).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(1,1). y=mx+b or 1=-3 × 1+b, or solving for b: b=1-(-3)(1). b=4.

(-1,7). y=mx+b or 7=-3 × -1+b, or solving for b: b=7-(-3)(-1). b=4.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(1,1) and (-1,7)

is

y=-3x+4

8 0
3 years ago
Tan^2 70° -sec^2 70°​
kipiarov [429]

Answer:

-1

Step-by-step explanation:

We need to find the value of tan² 70° -sec² 70°​.

We know that,

\sec^2\theta-\tan^2\theta=1 ...(1)

We can write the given expression as :

tan² 70° -sec² 70° = -(-tan² 70° +sec² 70°)

=-(sec² 70°-tan² 70°)

Using identity (1)

=-(1)

= -1

Hence, the value of the given expression is -1.

4 0
3 years ago
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