<span>The difference of a number t and 7 is greater than 10 and less than 20 written as an inequality is 10 < t - 10 < 20</span>
Answer:
About $16.7K, pick this or the closest to it.
Step-by-step explanation:
Using the slope-intercept form, the slope of the line is 1 (Imagine there is a 1 in front of the x) and the y-intercept is -5. The answer is D.
We develop two equations based on the given diagram. We let x be the length from C to the point meeting the endpoint of 5. We let y be the length of CD.
First, we determine the length from D to the endpoint of line measuring 9 cm. We use the Pythagorean theorem.
l = sqrt ((3)² + 5²)
l = 5.83
Then, the equations that can be developed or established are:
x² + 6² = y²
9² + (5 + x)² = (y + 5.83)²
In solving for x and y, we use substitution.
From the first equation,
y = sqrt (x² + 36)
We substitute this to the second equation y.
The value of x is 9.51.
y = sqrt (9.51² + 36) = 11.25.
Calculate for the area of the bigger triangle.
A = 0.5(9 cm)(5 + 9.51 cm) = 65.295 cm²
Also calculate for the area of the smaller triangle,
A = (0.5)(6 cm)(9.51 cm) = 28.53 cm²
The difference between the areas is 36.765 cm².
<em>ANSWER: 36.77 cm²</em>
Let x = the amount of feet descended in 3 minutes (thus the total change of altitude of the balloon)
320 (feet per minute) / 1 (minute) = x (feet per minute) / 3 (minutes)
1) Divide: 320/1 = 320.
2) Multiply: 320 x 3= 960.
The balloon that descends at a rate of 320 feet/minute (so, every minute, it descends 320 feet) descends a total of 960 feet in 3 minutes.
The balloon's total change in altitude is -960<span>
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