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makvit [3.9K]
4 years ago
14

Four hundred grams of grass seed are used for every 100 m2. Find the amount of seed needed, in kilograms, to cover 3000 m2?

Mathematics
1 answer:
Musya8 [376]4 years ago
4 0
400 / x = 100 / 3000 <=>
400 / x = 1 / 30 <=.>
x = 400 * 30 <=>
x = 12000 kilograms of grass.
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A line with a slope of 2 passes through the point (3,9).
Licemer1 [7]

Answer:

y-9=2(x-3)

Step-by-step explanation:

The point-slope formula is: y-y1=m(x-x1)

y1 and x1 is where you plug in the coordinate and m is the slope.

y1 is the second number of the coordinate (x, y)

So, y1 is 9 in this case

x1 is the first number of the coordinate (x, y)

So x1 is 3 in this case

Do you get it or do I need to explain further?

4 0
3 years ago
While playing baseball, sofia takes note of the extreme vectors for which she bats. what is the angle between her two extreme ba
k0ka [10]

The angle between the two extreme vectors of Sofia bats is 74.60 degrees.

In this question,

The angle between two vectors will be deferred by a single point, which is called as the shortest angle at which we have to turn around one of the vectors to the position of co-directional with another vector.

The extreme vectors of Sofia bats are  \vec u = < -8, 12 > and \vec v = < -8, 12 >

The angle between the vectors is

\theta = cos^{-1} \frac{\vec u.\vec v}{||\vec u|| ||\vec v||}

The dot product is calculated as

\vec u. \vec v = (-8)(13)+(12)(15)

⇒ -104+180

⇒ 76

The magnitude can be calculated as

||\vec u|| = \sqrt{(-8 )^{2} +(12)^{2} }

⇒ \sqrt{64+144}

⇒ \sqrt{208}

||\vec v|| = \sqrt{(13 )^{2} +(15)^{2} }

⇒ \sqrt{169+225}

⇒ \sqrt{394}

Thus the angle between the vectors is

\theta = cos^{-1} \frac{76}{(\sqrt{208} )(\sqrt{394} )}

⇒ \theta = cos^{-1} \frac{76}{\sqrt{81952} }

⇒ \theta = cos^{-1} \frac{76}{286.27 }

⇒ \theta = cos^{-1} (0.2654)

⇒ \theta=74.60

Hence we can conclude that the angle between the two extreme vectors of Sofia bats is 74.60 degrees.

Learn more about angle between two vectors here

brainly.com/question/19726452

#SPJ4

5 0
1 year ago
The scale of a map says 4 cm represents 5 km. What distance on the map in cm represents an actual distance of 4 km
Vilka [71]

4cm : 5km

xcm : 4km

Cross multiply.

4 * 4 = 16

5 * x = 5x

5x = 16

x = 16/5

x = 3.2km

3.2km : 4km

5 0
3 years ago
Solve: |2(x-5)|+11=17​
Otrada [13]

Answer:

Step 1

Use the distributive property to multiply 22 by x-5x−5.

|2x-10|+11=17∣2x−10∣+11=17

Hint

Expand using distributive property.

Step 2

Subtract 1111 from both sides.

|2x-10|=17-11∣2x−10∣=17−11

Step 3

Subtract 1111 from 1717 to get 66.

|2x-10|=6∣2x−10∣=6

Hint

Subtract one term from another.

Step 4

Use the definition of absolute value.

2x-10=62x−10=6 2x-10=-62x−10=−6

Step 5

Add 1010 to both sides of the equation.

2x=162x=16 2x=42x=4

Step 6

Divide both sides by 22.

x=8x=8 x=2x=2

Solution

x=2x=2

x=8x=8

Step-by-step explanation:

pa brainliest

6 0
2 years ago
Which is the correct way to set up the equation to solve for x in this diagram?
podryga [215]

Step-by-step explanation:

the products is the 2 parts of the segment lines are the same.

so,

5×8 = 4x

is correct (the second option).

which means

40 = 4x

x = 10

6 0
2 years ago
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