Answer:
<em>t = 5 seconds</em>
Step-by-step explanation:
We must solve the equation of movement of the ball as a function of time in seconds.
We must find how many seconds it takes until the ball touches the ground. When the ball touches the ground, the height b (t) = 0
Then we equate the equation to zero and solve for t.
Use the quadratic formula.
Where
We take the positive solution
<em>t = 5 seconds</em>
Answer:
thank you for reaching out to help people that is going through a hard time
No, I do not agree with Jada.
Quad A has 3, 6, 6, 9
Quad B is a scale of A with shortest length being 2
A scale is basically a fraction or a ratio. The scale of Quad A to B is 3/2 since Quad A's shortest length is 3.
Using the scale factor of 3/2, we can determine the rest of Quad B's demensions through cross multiplication.
3/2 = 6/4
3/2 = 9/6
Quad B's demensions are 2, 4, 4, 6.
Answer:
1.728×10¹⁵
Step-by-step explanation:
You may recall from 3rd grade that multiplying by 10 adds a zero to the right of a number (moves the decimal point 1 place to the right).
An exponent is used to signify repeated multiplication. These facts together are used to translate to/from scientific notation.
10 = 1 × 10
100 = 1 × 10 × 10 = 1 × 10²
__
Continuing in like fashion, 5.4×10⁸ represents 5.4 × (1 followed by 8 zeros).
Similarly, 3.2×10⁶ = 3.2 × (1 followed by 6 zeros)
The product will be ...
(5.4×10⁸)×(3.2×10⁶) = (5.4×3.2) × (1 followed by 8+6 = 14 zeros)
= 17.28 × 10¹⁴
= (1.728 × 10) × 10¹⁴ . . . moving the decimal point so there's 1 digit to its left
Adding that extra zero into the count we already have, this becomes ...
= 1.728×10¹⁵
_____
<em>Additional comment</em>
Your scientific or graphing calculator will have a mode for showing numbers in scientific notation. You can enter these numbers directly into your calculator and have it show you the result in scientific notation.
Or, you can use a spreadsheet with appropriate output cell formatting.
Answer:
The lateral surface area is 84 cm^2
Step-by-step explanation:
The rectangular prism is a geometric figure that has rectangles at each of it's faces. The lateral surface is formed by four rectangles, the ones formed by the length and the height and the ones formed by the width and the height. So in order to calculate the area of this surface we need to calculate the area of these rectangles and sum it. We have:
A_lateral = 2*width*height + 2*length*height
A_lateral = 2*6*3 + 2*8*3 = 36 + 48 = 84 cm ^2
So the lateral surface area is 84 cm^2
