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Write the Equation of the line that is parralel to the linear equation in question 1 and passes through the point (3,7)

BlackZzzverrR [31]

Where’s question 1? And the question

4 0

2 years ago

Review the table showing wind speed, y, in miles per hour, measured x hours after midnight.

hodyreva [135]

The trigonometric function that best models the data is determined as y = 1.87sin(–0.29x + 4.79) + 6.13.

<h3>Trigonometric function that models the data</h3>

The trigonometric function that best models the data is determined as follows;

y = 1.87sin(-0.29x + 4.79) + 6.13

Use the above equation to check if its gives you values in the table;

y = 1.87sin(-0.29 x 1 + 4.79) + 6.13

y = 1.87sin(4.5 rad) + 6.13

y = 4.3

y = 1.87sin(-0.29 x 2 + 4.79) + 6.13

y = 1.87sin(4.21 rad) + 6.13

y = 4.49

y = 1.87sin(-0.29 x 4 + 4.79) + 6.13

y = 1.87sin(3.63 rad) + 6.13

y = 5.2

y = 1.87sin(-0.29 x 7 + 4.79) + 6.13

y = 1.87sin(2.76 rad) + 6.13

y = 6.8

y = 1.87sin(-0.29 x 9 + 4.79) + 6.13

y = 1.87sin(2.18 rad) + 6.13

y =7.7

y = 1.87sin(-0.29 x 10 + 4.79) + 6.13

y = 1.87sin(1.89 rad) + 6.13

y = 7.9

y = 1.87sin(-0.29 x 13 + 4.79) + 6.13

y = 1.87sin(1.02 rad) + 6.13

y = 7.72

y = 1.87sin(-0.29 x 17 + 4.79) + 6.13

y = 1.87sin(-0.14 rad) + 6.13

y = 5.9

y = 1.87sin(-0.29 x 20 + 4.79) + 6.13

y = 1.87sin(-1.01 rad) + 6.13

y = 4.6

Thus, the trigonometric function that best models the data is determined as y = 1.87sin(–0.29x + 4.79) + 6.13.

Learn more about trigonometry functions here: brainly.com/question/1143565

#SPJ1

8 0

2 years ago

£864.00 to be accrued<br> after £800 is invested with<br> 2% pa simple interest.

Vsevolod [243]

Answer: 4 years

Step-by-step explanation:

Your question isn't complete but I believe that you want to calculate the number of years. This will be:

Simple Interest = PRT/100

where,

Interest = 864 - 800 = 64

Principal = 800

Rate = 2%

Therefore, 64 = 800 × 2 × T /100

Cross multiply

64 × 100 = 1600T

6400 = 1600T

T = 6400/1600

T = 4

Therefore, time will be 4 years

6 0

2 years ago

Find the missing side length of the triangie.<br> 12 in.<br> 35 in.

OlgaM077 [116]

Answer:

37

Step-by-step explanation:

Right Scalene Triangle

Side a = 37

Side b = 12

Side c = 35

Angle ∠A = 90° = 1.5708 rad = π/2

Angle ∠B = 18.925° = 18°55'29" = 0.3303 rad

Angle ∠C = 71.075° = 71°4'31" = 1.2405 rad

C=71.075°B=18.925°A=90°b=12a=37c=35

Area = 210

Perimeter p = 84

Semiperimeter s = 42

Height ha = 11.35135

Height hb = 35

Height hc = 12

Median ma = 18.5

Median mb = 35.51056

Median mc = 21.2191

Inradius r = 5

Circumradius R = 18.5

Vertex coordinates: A[0, 0] B[35, 0] C[0, 12]

Centroid: [11.66667, 4]

Inscribed Circle Center: [5, 5]

Circumscribed Circle Center: [17.5, 6]

6 0

3 years ago

PLEASE HELP

laila [671]

<h3><u>Option A</u></h3>

$4 x^{2}+32 x-80=0$ is the required equation to calculate width of rectangular frame that has a total area of 140 square inches.

<h3><u>Solution:</u></h3>

Given that,

Length of a rectangular frame is given as 2x + 10

Width of the rectangular frame is given as 2x + 6

Total area = 140 square inches

<em><u>The area of rectangular frame is given as:</u></em>

$\text {area of rectangle}=\text {length } \times \text {width}$

Plugging in values, we get

$\begin{array}{l}{(2 x+10)(2 x+6)=140} \\\\ {4 x^{2}+12 x+20 x=80} \\\\ {4 x^{2}+32 x-80=0}\end{array}$

This is the required equation to calculate width of rectangular frame

Solve the above quadratic equation to get the value of "x"

$4 x^{2}+32 x-80=0$

<em><u>Use the quadratic equation formula:</u></em>

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here a = 4 ; b = 32 ; c = -80

$x=\frac{-32 \pm \sqrt{32^{2}-4(4)(-80)}}{2(4)}$

$x=\frac{-32 \pm \sqrt{2304}}{8}$

x = 2 or x = -10

Now measurement cannot be negative, so taking the positve value of "x", we can calculate the width

So put "x" = 2

Width of the rectangular frame = 2x + 6 = 2(2) + 6 = 10

Thus the width of frame is 10 inches

4 0

3 years ago