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1 year ago

Where can I find the shaded area of this diagram?

Mathematics

1 answer:

erik [133]1 year ago

7 0

To find the area of the figure, we divide it into two rectangles as follows:

And we find the area of each rectangle, which is given by:

$\begin{gathered} A=b\cdot h \\ \text{where b = base and h = height} \end{gathered}$

Area rectangle 1:

$A=3\cdot10=30m^2$

Area rectangle 2:

$A=4\cdot6=24m^2$

Therefore, the shaded area of the diagram is:

$A=30+24=54m^2$

Answer: 54 m^2

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Integrate t sec^2 (2t) dt

Neporo4naja [7]

F = t ⇨ df = dt
dg = sec² 2t dt ⇨ g = (1/2) tan 2t
⇔
integral of t sec² 2t dt = (1/2) t tan 2t - (1/2) integral of tan 2t dt
u = 2t ⇨ du = 2 dt

As integral of tan u = - ln (cos (u)), you get :

integral of t sec² 2t dt = (1/4) ln (cos (u)) + (1/2) t tan 2t + constant
integral of t sec² 2t dt = (1/2) t tan 2t + (1/4) ln (cos (2t)) + constant
integral of t sec² 2t dt = (1/4) (2t tan 2t + ln (cos (2t))) + constant ⇦ answer

8 0

3 years ago

Read 2 more answers

Which number is a factor of 84?

Blababa [14]

Answer:

Step-by-step explanation:

Factors of 84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

6 0

3 years ago

Read 2 more answers

Please show work . . .

Alenkasestr [34]

Answer:

19.64

the permieter is 5 so 5/2=2.5 2.5x2.5=6.25 6.25x3.14=19.64

8 0

3 years ago

A box of granola bars contains 3 chocolate chip bars, 2 peanut butter bars, 1 lemon bar, and 4 raisin bars. Iesha will randomly

ella [17]

Answer:

2/45

Step-by-step explanation:

Note this selection is done without replacement hence after each selection sample size will reduce

Given data

Samples 3 chocolate chip bars,

2 peanut butter bars,

1 lemon bar, and

4 raisin bars

Sample size S= [3+2+1+4]= 10

Probability that first selection is lemon = 1/10

Probability that second selection is raisin = 4/9

Hence the probability that the first bar Iesha selects will be lemon and the second will be raisin= 1/10*4/9

= 4/90= 2/45

3 0

3 years ago

A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 70 square feet. Find the

Vedmedyk [2.9K]

Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

Step(i):-

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

Step(ii):-

Area of the rectangle = length × width

= x ( x-3)

Given that the area of the rectangle = 70 square feet

x ( x-3) = 70

⇒ x² - 3x - 70 =0

⇒ x² - 10 x + 7 x - 70 =0

⇒ x (x -10) +7( x-10) =0

⇒ ( x+7) ( x-10) = 0

⇒ x =-7 and x=10

Final answer:-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

8 0

3 years ago