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erastovalidia
2 days ago
14

A ball is launched into the sky at 19.6 feet per second from a 58.8 meter tall building. The equation for the ball's height. h,

at time t seconds is h=-4.9t^2+19.6t+58.8. When will the ball strike the ground
Mathematics
1 answer:
tester [3.9K]2 days ago
3 0
H represents the height of the ball at a specific time, denoted by t. To determine when it reaches the ground, we need to set h to 0. The equation translates to 0 = -4.9t² + 19.6t + 58.8, leading to 0 = 4.9t² - 19.6t - 58.8, then simplified to 0 = t² - 4t - 12. Factoring yields 0 = (t - 6)(t + 2), giving solutions of t = 6 or -2. However, since time cannot be negative, the ball will hit the ground after 6 seconds.
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Write three numbers for which you would use the hundreds place to compare to 35,712​
Leona [4187]

Answer:

  • 35,694
  • 35,981
  • 35,102

Step-by-step explanation:

If you compare numbers based on the hundreds digit, the digits to the left (thousands and ten-thousands) remain the same, while the hundreds digit differs.

This applies for any five-digit numbers structured like:

(3)(5)(not 7)(any digit)(any digit).

Digits to the right of the decimal point, as well as those in the tens and ones places, don't impact this comparison.

5 0
15 days ago
This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the t
Leona [4187]

B refers to the base of the triangle,
and a signifies the length of the two identical sides.


The measurement labeled as 'a' is larger than 'b' since those equal sides are longer than the base. Given "one of the longer sides measures 6.3 cm," we assign a = 6.3.


Substitute 6.3 for each 'a' in the equation and solve for b:
2a + b = 15.7
2(6.3) + b = 15.7
12.6 + b = 15.7
b = 15.7 - 12.6 (applying subtraction property of equality)
b = 3.1

7 0
16 days ago
Explain two ways you could solve 20 = 5(-3 + x)
Leona [4187]

Answer:

The solution to your inquiry can be found below

Step-by-step explanation:

First method

                      20 = 5(-3 + x)                   expanding this equation

                     20 = -15 + 5x                    combine like terms

                     5x = 20 + 15

                     5x = 35                            dividing by 5

                     5x/5 = 35/5

                     x = 7

Second method

                     20/5 = 5/5 (-3 + x)          divide both sides by 5

                     4  = -3 + x                        adding 3 to both sides

                     4 + 3 = -3 + 3 + x            simplifying

                     7 = x

                     

3 0
12 days ago
Write a subtraction fact with the same difference as 16-7
PIT_PIT [3949]
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8 0
8 days ago
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Mary wrote a book of 1536 pages. She numbered all pages by hand. How many times did she write the digit 6?
lawyer [4039]

Response:

404 instances

Detailed breakdown:

8 0
8 days ago
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