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3 years ago

14

Leia cuts congruent triangular patches with an area of 15 square centimeters from a rectangular piece of fabric that is 15 centi

meters long and 9 centimeters wide. How many of the patches can Leia cut from 30 pieces of the fabric?

1 answer:

Svet_ta [14]3 years ago

8 0

Answer:

$128$ patches can be made.

Step-by-step explanation:

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Write these numbers in standard form.

pychu [463]

Answer:

Here are the answers I got I hope this is correct!! :)

Step-by-step explanation:

A) 6 x 10^3

B) 4 x 10^8

C) 70 x 10^3

___________________________________________________________

I hope this helped you sorry for the first try c:

4 0

3 years ago

In Exercises 26 and 27 write an equation of the line with the given slope and y-intercept.

Neko [114]

26. y= -7/3+ 0 or just y= -7/3

27. y= -10

7 0

3 years ago

4x - 2 + y = 6 - 2x for x

Vlada [557]

Answer:

4x

Step-by-step explanation:

8 0

3 years ago

Whats the intrgral of <img src="https://tex.z-dn.net/?f=%20%5Cint%20%20%5Cfrac%7Bx%5E2%2Bx-3%7D%7B%28x%5E3%2Bx%5E2-4x-4%29%5E2%7

rosijanka [135]

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$

Notice that $x^3+x^2-4x-4=x^2(x+1)-4(x+1)=(x-2)(x+2)(x+1)$ . Decompose the integrand into partial fractions:

$\dfrac{x^2+x-3}{(x-2)^2(x+2)^2(x+1)^2}$
$=\dfrac1{3(x+1)}-\dfrac{11}{32(x+2)}-\dfrac1{3(x+1)^2}-\dfrac1{16(x+2)^2}+\dfrac1{96(x-2)}+\dfrac1{48(x-2)^2}$

Integrating term-by-term, you get

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$
$=-\dfrac1{48(x-2)}+\dfrac1{3(x+1)}+\dfrac1{16(x+2)}+\dfrac1{96}\ln|x-2|+\dfrac13\ln|x+1|-\dfrac{11}{32}\ln|x+2|+C$

5 0

3 years ago

To get to school you can travel by car, bus or bicycle. If you travel by car, there is a 50% chance you will be late because the

Irina18 [472]

Answer:

a) 16.66%

b) 5%

Step-by-step explanation:

a)

Since the teacher assumes each of the three possibilities are equally likely, then he assumes 33.33% to each one.

In this case the probability that you traveled to school that day by car would be

50% of 33.33% = (0.5)(0.3333) = 0.1666 = 16.66%

b)

In this case, the teacher would assume

90% ride on bicycle

0% take the bus

10% travel by car

So, in this case the probability would be

50% of 10% = (0.5)(0.1) = 0.05 = 5%

6 0

3 years ago