Answer:
0.920
Step-by-step explanation:
To calculate this, we proceed to the t-table
Using degree of freedom 5 and significance level of 0.2, the t-value is 0.920
Given:
The ratio of the measures of the sides of a triangle is 3:4:5.
Its perimeter is 48 inches.
To find:
The scale factor as a decimal, and the measure of each side of the triangle.
Solution:
Let x be the scale factor. Then the measures of sides of the triangle are 3x, 4x and 5x.
The perimeter of the triangle is 48 inches. It means the sum of all sides of the triangle is 48 inches.


Divide both sides by 12.


Now, the measures of sides are:


Similarly,


And,


Therefore, the scale factor is 4 and the measures of sides are 12, 16 and 20.
Answer:
C. 210 miles
Step-by-step explanation:
We have been given that two cars leave Phoenix and travel along roads 90 degrees apart. Car 1 leaves 30 minutes earlier than Car 2 and averages 42 mph.
We will use distance formula and Pythagoras theorem to solve our given problem.


.
Since car 1 leaves 30 minutes before car 2, so car 2 will travel for only 3 hours when car 1 will travel for 3.5 hours.


Since both car travel along roads 90 degree apart, therefore, the distance between both cars after Car 1 has traveled 3.5 hours would be hypotenuse with legs 147 and 150.




Therefore, the both cars will be 210 miles apart and option C is the correct choice.
Step-by-step explanation:
Given: x=5 and y=6
=>4x2+3y
=> 8+3(6)
=> 8+18
=> 26
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