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2 years ago

11

Write the equation of the line passing through the points (-7,8) and (7,2) The equation of the line is [ ]Can someone please hel

p me!!!

1 answer:

Natalka [10]2 years ago

6 0

Answer:

y = -3/7x + 5

Step-by-step explanation:

y2 - y1 / x2 - x1

2 - 8 / 7 - (-7)

-6/14

= -3/7

y = -3/7x + b

2 = -3/7(7) + b

2 = -3 + b

5 = b

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Red Top Cab Company receives multiple complaints per day about driver behavior. Over 9 days the owner recorded the number of cal

zysi [14]

Answer:

upper control limit = 13.34

Step-by-step explanation:

The c-chart is used to check the change in the number of recorded calls per day

First find out the center line

c = sum of recorded calls/number of days

c = (3 + 0 + 8 + 9 + 6 + 7 + 4 + 9 + 8)/9

c = 54/9

c = 6

The upper control limit for 3σ is

upper control limit = c + 3√c

upper control limit = 6 + 3√6

upper control limit = 13.34

Therefore, the upper control limit for the 3-sigma c-chart is 13.34.

8 0

2 years ago

The volume of this figure is ...................................... cubic in

alexgriva [62]

For 1 cylinder: 226.08 cubic inches

For all cylinders (overall): 678.24 cubic inches

Since I'm tired....

Formula: Pi × (radius × radius) × height

7 0

3 years ago

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

Convert the angle \theta=260^\circθ=260

mel-nik [20]

Question:

Convert the angle θ=260° to radians.

Express your answer exactly.

θ = ___ radians

Answer:

260° = 13π/9 or 4.54 rad

Step-by-step explanation:

Given

θ=260°

Required

Convert from degree to radians

To convert an angle in degrees to radians, we simply follow the steps below.

1° = 1 * π/180 rad

Replace the 1° with x

So,

x° = x * π/180 rad.

Now, we assume that x = 260

This means that we substitute 260 for x. This gives

260° = 260 * π/180

260° = 260π/180

Divide numerator and denominator by 20

260° = 13π/9

We can leave the answer in this form or solve further.

Take π as 22/7. This gives

260° = 13/9 * 22/7

260° = 286/63

260° = 4.5396825397

260° = 4.54 rad (Approximated)

3 0

2 years ago

Select all the values that belong to the solution set of 9 ≤ 6 - y.

topjm [15]

9 < = 6 - y
9 - 6 < = -y
3 < = -y
-3 > = y or y < = -3

solutions include : -3,-4,-6

7 0

2 years ago