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g100num [7]
3 years ago
6

How do I find the slope of the line containing the two points (9,0) and (-5,6)

Mathematics
1 answer:
deff fn [24]3 years ago
7 0
  • Slope Formula: \frac{y_2-y_1}{x_2-x_1}

So using the slope formula, plug in the two points and solve for it as such:

\frac{0-6}{9-(-5)}=-\frac{6}{14}\div \frac{2}{2}=-\frac{3}{7}

<u>The slope is -3/7.</u>

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The figure shows the layout of a symmetrical pool in a water park. What is the area of this pool rounded to the tens place? Use
k0ka [10]

Answer:

2489ft^{2}

Step-by-step explanation:

The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.

<h3>Area of each triangle:</h3>

From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:

A_{t}=\frac{b.h}{2}=\frac{(20ft)(25ft)}{2}=250ft^{2}

<h3>Area of each circular section:</h3>

From the figure, we know that \alpha =2.21 radians and the radius is R=30ft. So, the are would be calculated with this formula:

A_{cs}=\frac{\pi R^{2}\alpha}{360\°}

Replacing all values:

A_{cs}=\frac{(3.14)(30ft)^{2}(2.21radians)}{6.28radians}

Remember that 360\°=6.28radians

Therefore, A_{cs}=994.5ft^{2}

Now, the total are of the figure is:

A_{total}=2A_{t}+2A{cs}=2(250ft^{2} )+2(994.5ft^{2})\\A_{total}=500ft^{2} + 1989ft^{2}=2489ft^{2}

Therefore the area of the symmetrical pool is 2489ft^{2}

3 0
2 years ago
I really need help i think my brain died
lyudmila [28]
Same cause school kinda slow bsndndndndnndnfnfnfnfn sorry I need the points
4 0
2 years ago
Can y’all help please
kirill115 [55]
SOH
Sin-1(57/100)= 34.75022575
So the answer could be 35
5 0
3 years ago
W = 3x + 7y solve for y
mario62 [17]

Answer:

The value of the equation y=\frac{W-3x}{7}.

Step-by-step explanation:

Consider the provided equation.

W = 3x + 7y

We need to solve the provided equation for y.

Subtract 3x from both side.

W-3x= 3x-3x+ 7y

W-3x=7y

Divide both sides by 7.

\frac{7y}{7}=\frac{W-3x}{7}

y=\frac{W-3x}{7}

Hence, the value of the equation is y=\frac{W-3x}{7}.

8 0
3 years ago
What is the slope of the line through (1,0) and (3,8)
Arturiano [62]

Slope = (y2 - y1)/(x2 - x1)

Slope = (8 - 0)/(3 - 1)

Slope = 8/2

Slope = 4


Answer

4

6 0
3 years ago
Read 2 more answers
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