Answer:
Area = 60.0 units²
Step-by-step explanation:
First, let's find the height of the triangle using Pythagorean Theorem:
Height = √(11² - 8²)
= √57
Height = 7.5 (nearest tenth)
✔️Find the area:
Area = ½*base*height
Base = 2*8 = 16
Height = 7.5
Plug in the values
Area = ½*16*7.5
Area = 60.0 units² (nearest tenth)
Answer:
<h2>32 = 9n - 4</h2>
Step-by-step explanation:
<u>Thirty-two is </u> = <u>32 =</u>
<u>The product of nine times a number</u> = <u>9n</u>
<u>Decreased by four</u> = <u> - 4</u>
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`
<em>Good luck.</em>
<em>Leme know if wrong.</em>
<em>Lb.</em>
The three integers are x, x+2, x+4
5(3x+6)=42+x(x+2)
15x+30=x^2+2x+42
x^2 - 13x +12=0
(x-12)(x-1) = 0
x = 12 or 1
since the integers have to be odd we exclude 12
integers are 1,3,5
Answer:
Rate of change of the area of the rectangle at that instant = 7 cm²/hr.
Step-by-step explanation:
Area of rectangle = Height x Width
A = hw
The height of a rectangle is increasing at a rate of 3 centimeters per hour and the width of the rectangle is decreasing at a rate of 4 centimeters per hour.

Differentiating area with respect to time,

We need to find rate of change of area when the height is 5 centimeters and the width is 9 centimeters.

Rate of change of the area of the rectangle at that instant = 7 cm²/hr.
Answer:
825 tokens
Step-by-step explanation:
Each game costs 25 tokens, and she played 33 games.
To find the total number of tokens, multiply the cost for one game by home many games she played.
cost of one game * number of games played
25*33=825
She used 825 tokens on the games