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forsale [732]
3 years ago
11

What is the slope of the line?

Mathematics
1 answer:
loris [4]3 years ago
3 0
5/5 using rise over run
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PLEASE HELP!!
slava [35]

Answer:

99   (cm^2)

Step-by-step explanation:

Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.

The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).

One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.

Then, add the area of the three parts.

72+9*sqrt(19)/2+9*(6-sqrt(19))/2=99    (cm^2)

4 0
3 years ago
A different car can travel 30.5 miles for every gallon of gas used.
Katarina [22]

Answer: 91.5

Step-by-step explanation:

7 0
3 years ago
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Is 5(1/5^3) = 5(5^3)
Lyrx [107]

Answer:

5(1/5^3) ≠ 5(5^3)

Step-by-step explanation:

5(1/5^3) = 5(5^3)

5/27 = 625

5(1/5^3) ≠ 5(5^3)

The sides aren't equal, so this equation is FALSE.

7 0
3 years ago
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Evaluate the following integrals: 1. Z x 4 ln x dx 2. Z arcsin y dy 3. Z e −θ cos(3θ) dθ 4. Z 1 0 x 3 √ 4 + x 2 dx 5. Z π/8 0 co
Zigmanuir [339]

Answer:

The integrals was calculated.

Step-by-step explanation:

We calculate integrals, and we get:

1) ∫ x^4 ln(x) dx=\frac{x^5 · ln(x)}{5} - \frac{x^5}{25}

2) ∫ arcsin(y) dy= y arcsin(y)+\sqrt{1-y²}

3) ∫ e^{-θ} cos(3θ) dθ = \frac{e^{-θ} ( 3sin(3θ)-cos(3θ) )}{10}

4) \int\limits^1_0 {x^3 · \sqrt{4+x^2} } \, dx = \frac{x²(x²+4)^{3/2}}{5} - \frac{8(x²+4)^{3/2}}{15} = \frac{64}{15} - \frac{5^{3/2}}{3}

5)  \int\limits^{π/8}_0 {cos^4 (2x) } \, dx =\frac{sin(8x} + 8sin(4x)+24x}{6}=

=\frac{3π+8}{64}

6)  ∫ sin^3 (x) dx = \frac{cos^3 (x)}{3} - cos x

7) ∫ sec^4 (x) tan^3 (x) dx = \frac{tan^6(x)}{6} + \frac{tan^4(x)}{4}

8)  ∫ tan^5 (x) sec(x)  dx = \frac{sec^5 (x)}{5} -\frac{2sec^3 (x)}{3}+ sec x

6 0
3 years ago
A T-shirt launcher can launch 105 shirts in 20 minutes. What is the rate in shirts per hour?
Margarita [4]

The T-shirt launcher can launch 315 shirts per hour.

4 0
3 years ago
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