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2 years ago

10

Use 1/2ab sin C formula pls

1 answer:

Harman [31]2 years ago

3 0

Step-by-step explanation:

$area = \frac{1}{2} a.b \sin(C) \\ from \:cosine \: rule \\ {c}^{2} = {a}^{2} + {b}^{2} - 2a.b \cos(C) \\ 36 = 144 + 81 - (2 \times 12 \times 9) \cos(C) \\ 189 = 216 \cos(C) \\ \cos(C) = 0.875 \\ C = \cos {}^{ - 1} (0.875) \\ C = 28.96 \degree \\ area = \frac{1}{2} \times 144 \times 9 \times \sin(28.96 \degree) \\ area = 313.8 \: sq \: units$

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A store finds that its sales revenue changes at a rate given by S'(t) = −30t2 + 420t dollars per day where t is the number of da

allochka39001 [22]

Answer:

Step-by-step explanation:

Give the rate of change of sales revenue of a store modeled by the equation $S'(t)= -30t^{2} + 420t$ . The Total sales revenue function S(t) can be gotten by integrating the function given as shown;

$\int\limits {S'(t)} \, dt = \int\limits ({-30t^{2}+420t }) \, dt \\S(t) = \frac{-30t^{3} }{3}+\frac{420t^{2} }{2}\\ S(t)= -10t^{3} +210t^{2} \\$

a) The total sales for the first week after the campaign ends (t = 0 to t = 7) is expressed as shown;

$Given\ S(t) = -10t^{3} + 210t^{2}$

$S(0) = -10(0)^{3} + 210(0)^{2}\\S(0) = 0\\S(7) = -10(7)^{3} + 210(7)^{2}\\S(7) = -3430+10,290\\S(7) = 6,860$

Total sales = S(7) - S(0)

= 6,860 - 0

Total sales for the first week = $6,860

b) The total sales for the secondweek after the campaign ends (t = 7 to t = 14) is expressed as shown;

Total sales for the second week = S(14)-S(7)

Given S(7) = 6,860

To get S(14);

$S(14) = -10(14)^{3} + 210(14)^{2}\\S(14) = -27,440+41,160\\S(14) = 13,720$

The total sales for the second week after campaign ends = 13,720 - 6,860

= $6,860

8 0

2 years ago

Let g(x)=9x−10 and evaluate g(x+h)−g(x)/h

castortr0y [4]

Answer:

$\frac{g(x+h)-g(x)}{h}=9$

Step-by-step explanation:

we have

$g(x)=9x-10$

To find out g(x+h) substitute the variable x by the variable (x+h) in the function g(x)

so

$g(x+h)=9(x+h)-10$

$g(x+h)=9x+9h-10$

Evaluate

$\frac{g(x+h)-g(x)}{h}$

we have

$g(x+h)=9x+9h-10$

$g(x)=9x-10$

substitute in the expression

$\frac{9x+9h-10-(9x-10)}{h}$

$\frac{9x+9h-10-9x+10)}{h}$

$\frac{9h}{h}$

$9$

therefore

$\frac{g(x+h)-g(x)}{h}=9$

3 0

2 years ago

Witch is bigger 0.59 or 5.09

Art [367]

Answer:

this is really easy question is 5.09 because 5 is bigger than 0

5 0

2 years ago

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Help me solve this, plz!! WILL MARK BRAINLIEST!! Show how to solve, plz and thank you!!

Llana [10]

Answer:

<h3>6<x<9</h3>

Step-by-step explanation:

from the graph above the non linear paths are the curves on the Cartesian plain

on the y-axis, you'll get to see the curve there for the the values for x and y intervals are at their maximum, which in range is 6<x<9

6 0

2 years ago

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When 1.5 and a number n are multiplied, the result is 13.65.

Vikki [24]

Easy, you're just reversing multiplication. divide 13.65 by 1.5 to get 9.1
n=9.1

7 0

2 years ago