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3 years ago

What is the area of this figure?

Mathematics

1 answer:

solong [7]3 years ago

8 0

The area of a trapezoid is given by
.. A = (b1 +b2)/2*h
.. = (13 cm +21 cm)/2*(6 cm)
.. = 102 cm^2 . . . . . . . . . . . . . . corresponds to selection A

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84784+24849+748429+123456

zhuklara [117]

Answer:

981,518

Step-by-step explanation:

Have a nice day :)

5 0

3 years ago

Solve the following differential equations or initial value problems. In part (a), leave your answer in implicit form. For parts

shepuryov [24]

Answer:

(a) (y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) y = arctan(t(lnt - 1) + C)

Step-by-step explanation:

(a) dy/dt = (t^2 + 7)/(y^4 - 4y^3)

Separate the variables

(y^4 - 4y^3)dy = (t^2 + 7)dt

Integrate both sides

(y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) dy/dt = (cos²y)lnt

Separate the variables

dy/cos²y = lnt dt

Integrate both sides

tany = t(lnt - 1) + C

y = arctan(t(lnt - 1) + C)

(t² + t) dy/dt = ty² - y²

(t² + t) dy/dt = y²(t - 1)

(t² + t)/(t - 1)dy/dt = y²

Separating the variables

(t - 1)dt/(t² + t) = dy/y²

tdt/(t² + t) - dt/(t² + t) = dy/y²

dt/(t + 1) - dt/(t(t + 1)) = dy/y²

dt/(t + 1) - dt/t + dt/(t + 1) = dy/y²

Integrate both sides

ln(t + 1) - lnt + ln(t + 1) + lnC = -1/y

2ln(t + 1) - lnt + lnC = -1/y

ln|C(t + 1)²/t| = -1/y

y = -1/ln|C(t + 1)²/t|

Apply y(1) = -1

-1 = ln|C(1 + 1)²/1|

-1 = ln(4C)

4C = e^(-1)

C = (1/4)e^(-1) ≈ 0.09

y = -1/ln|0.09(t + 1)²/t|

8 0

3 years ago

When you convert 100 ft per second to inches per second, will there be more or less than 100 inches.Explain

Serga [27]

There are 12 inches in a feet, so there are 1200 inches. 1200 inches is more than 100 inches, so there is more.

6 0

3 years ago

Brainiest if correct

Mademuasel [1]

Answer:one solution

Step-by-step explanation:

6 0

3 years ago

On a coordinate plane, a solid straight line has a negative slope and goes through (negative 2, 2) and (2, negative 8). Everythi

Alinara [238K]

The linear inequality $y \leq 5/2(x + 2)$ will not have a shared solution set with the graphed linear inequality. the correct option is D.

<h3>What is inequality?</h3>

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

On a coordinate plane, a solid straight line has a negative slope and goes through (-2, 2) and (2, -8).

m = (-8 -2)/ (2 +2)

m = -10/ 4

m = -5/2

The line has an equation of y greater-than-or-equal-to negative five-halves x minus 3.

$y \geq -5/2 (x-3)$

The linear inequality $y \leq 5/2(x + 2)$ will not have a shared solution set with the graphed linear inequality.

Thus, the correct option is D.

Learn more about inequality ;

brainly.com/question/14164153

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3 0

2 years ago