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scoundrel [369]
3 years ago
10

A rock is dropped from a bridge 320 feet above the river. The pathway that the rock takes can be modeled by the equation h= -16t

2+320. How long will it take the rock to reach the river?
Mathematics
2 answers:
Masja [62]3 years ago
7 0

Answer:

288

Step-by-step explanation:

Zigmanuir [339]3 years ago
3 0

Answer: 4.47 seconds.

Step-by-step explanation:

Hi, the rock will reach the river when the height (h) is 0.

So, replacing in the equation given:

h= -16t2+320

Where t is the time  

0= -16t2+320

Solving for t

-320 = -16t2

-320/-16 =t2

20 = t2

√20 =t

4.47 = t

Assuming that t is the time in seconds, the rock will reach the river after 4.47 seconds.

Feel free to ask for more if needed or if you did not understand something.

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Plz help ASAP I need help
Over [174]
Hotel a cause 40 x 4 = 160 which is under 175
6 0
3 years ago
Which equations represents a line that is parallel to 3x-4y=7 and passes through the point (-4,-2)
insens350 [35]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x - 4y = 7 into this form

Subtract 3x from both sides

- 4y = - 3x + 7 ( divide all terms by - 4 )

y = \frac{3}{4} x - \frac{7}{4} ← in slope- intercept form

with slope = \frac{3}{4}

• Parallel lines have equal slopes, hence

y = \frac{3}{4} x + c ← is the partial equation of the parallel line

To find c substitute (- 4, - 2) into the partial equation

- 2 = - 3 + c ⇒ c = - 2 + 3 = 1

y = \frac{3}{4} x + 1 ← in slope- intercept form

Multiply all terms by 4

4y = 3x + 4 ( subtract 4 from both sides )

4y - 4 = 3x ( subtract 4y from both sides )

- 4 = 3x - 4y, that is

3x - 4y = - 4 ← in standard form

6 0
4 years ago
Raymond is installing a new kitchen counter top . The counter top is a rectangular piece of quartz that is 5.75 feet long and 2.
nasty-shy [4]

Answer:

5.75 ft ≈ 6 ft

2.47 ft ≈ 2 ft

perimeter of the rectangular counter top  = 16 ft

Step-by-step explanation:

The counter top he is installing is a rectangular piece of quartz that is 5.75 ft long and 2.47 ft wide. The length and the width can be rounded off to the nearest whole number as follows.

length = 5.75 ft to the nearest whole number will be 6 ft

width = 2.47 ft to the nearest whole number will be 2 ft

The logic in rounding off the number to the nearest whole number is that the value on the left hand side of the decimal is rounded off to an integer. If the number at the right hand side of the number is greater or equal to 5 we borrow 1 and add to the left hand side number of the decimal number.

Therefore,

Perimeter of the rectangle = 2l + 2w

perimeter of the rectangle = 2 × 6 + 2 × 2

perimeter of the rectangle = 12 + 4

perimeter of the rectangle = 16 ft

3 0
3 years ago
Solve the following system of equations. 3x+4y=12
Lesechka [4]

Answer:

(0,3) is the solution set for given system.

Step-by-step explanation:

Given that:

3x+4y=12  ------- eq1

2x-3y= -9 ------- eq2

Multiplying eq1 with 2 and eq2 with 3 we get:

6x + 8y = 24 --------- eq1

6x - 9y = -27 -------- eq2

Subtracting eq2 from 1 we get:

17y = 51

Dividing both sides by 17 we get:

y = 3

Putting value of 3 in eq1 we get:

3x + 4(3) = 12

3x + 12 = 12

3x = 0

Dividing both sides by 3

x = 0

So the solution set will be: (0,3)

i hope it will help you.

6 0
4 years ago
A tree cast a shadow of 30m long and a 2m stick casts one that is 3m long. As show in the below diagram how tall is the tree?​
PSYCHO15rus [73]

Answer:

  • 20 m

Step-by-step explanation:

<u>We have similar triangles here.</u>

  • BC║DE, AB║AD and AC║AE ⇒ ΔADE ~ ΔABC

<u>The ratio of corresponding sides of similar triangles is same:</u>

  • BC/DE = AC/AE
  • BC / 2 = 30/3
  • BC / 2 = 10
  • BC = 2*10
  • BC = 20 m
6 0
3 years ago
Read 2 more answers
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