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netineya [11]
3 years ago
8

Lindsay shot a model rocket over an area that consists of two grassy areas shown in green and an area without grass, shown in wh

ite. What is the probability that his rocket landed in the area WITHOUT grass?
A. 3/5

B. 4/5

C. 3/4

D.3/10

Mathematics
1 answer:
Elina [12.6K]3 years ago
6 0

Answer: 3/5

Step-by-step explanation:

If 30 acres are without grass and 20 acres have grass then you set up a fraction with the area without grass on top and the total area on the bottom which would be 30/50 then simplify to get 3/5

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What is the length of the hypotenuse of a right triangle with legs of length 6 and 4 ?
liberstina [14]

Answer:

6²+4²=h²

36+16=h²

\sqrt{52}  = h \:  \:  \:  \:  \:  \\ hyphotenuse \: is \: 2 \sqrt{13  \:} \\ or \: 7.2111

6 0
3 years ago
Solve the following logarithmic equations.<br> log[(x^2 + 2x − 3)^4] = 0
saw5 [17]

Answer:

The solutions are x = 1.24 and x = -3.24

Step-by-step explanation:

Hi there!

First, let´s write the equation:

log[(x² + 2x -3)⁴] = 0

Apply the logarithm property: log(xᵃ) = a log(x)

4 log[(x² + 2x -3)⁴] = 0

Divide by 4 both sides

log(x² + 2x -3) = 0

if log(x² + 2x -3) = 0, then  x² + 2x -3 = 1 because only log 1 = 0

x² + 2x -3 = 1

Subtract 1 at both sides of the equation

x² + 2x -4 = 0

Using the quadratic formula let´s solve this quadratic equation:

a = 1

b = 2

c = -4

x = [-b± √(b² - 4ac)]/2a

x =  [-2 + √(4 - 4(-4)·1)]/2 = 1.24

and

x = [-2 - √(4 - 4(-4)·1)]/2 = -3.24

The solutions are x = 1.24 and x = -3.24

Have a nice day!

4 0
3 years ago
(10 - 5x) - (9x) + 9)
Goshia [24]

10-5x-9x+9

19-5x-9x

19-14x

4 0
3 years ago
Read 2 more answers
Can someone help me with this question?
Crazy boy [7]

Answer:

m<S' = 115

Step-by-step explanation:

A translation is when one shifts the image over on a coordinate plane. A translation doesn't affect the image itself. Hence m<S is the same as m<S'. Therefore m<S' = 115

4 0
3 years ago
Read 2 more answers
How many cubes with the side lengths of 1/2 cm does it take to fill the prisim?
My name is Ann [436]

Answer:

Number of cubes that fills the prism=24

Step-by-step explanation:

The number of cube that completely fill the prism=Volume of Prism/Volume of cube with side 1/2 cm=0.5 cm

Volume of  the prism=Length*Width*Height

Length=2 cm\\\\    Width=1 cm\\   \\ Height=3/2 cm = 1.5 cm

Volume of Prism = 2*1*1.5

                      =3.0 cm^3

Volume of the Cube:

                                    Side*Side*Side\\\\=0.5*0.5*0.5

                                      = 0.125 cm^3

Number of cubes that fills the prism:

                                        3.0/0.125\\\\=24 cubes

So, the number of cubes that can fill the prism is '24'

8 0
3 years ago
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