Answer:
Option B: A triangle with side lengths 4 cm, 5 cm, and 15 cm
Step-by-step explanation:
Since we are dealing here majorly with sides, one condition is that each side has to be shorter than the sum of the other two sides and longer than their difference meaning that if we have a, b and c
The a value has to be shorter than the sum of b and c - a < b+c and the a value also has to be longer than their difference - a > b-c
In this example,we have side lengths 4 cm, 5 cm, and 15 cm. Taking a, b and c as 4 cm, 5 cm, and 15 cm respectively.
The sum of 5 and 4 is 9 and the third side 15 is greater than 9 when it is supposed to be less to construct a triangle.
If the figures/solids are similar, the ratio of the areas is equal to the square of the ratio of the corresponding sides. Let x be the area of the second figure. The equation that would best allow us to answer this item is,
(394.2 in² / x in²) = (10.9 / 21.8)²
The value of x from the equation is 1576.8 in².
Thus, the nearest answer is the second choice.
Answer:
40 patients
Step-by-step explanation:
Divide 25 by 5 to get 5 patients per hour (the rate).
Since there are 8 hours, multiply 8 by 5 to get 40 patients in 8 hours.
If she runs half the distance to school, and runs the same back, this means that she suns 7/8 miles in a day. In 5 days, 5 x 7/8 = 35/8 miles (or 4.375 miles in 5 days).
Answer:
a) x = 13
b) x = 7
Step-by-step explanation:
A) Since they have the same base of 2 so
x + 4 + (-5) = 12
x - 1 = 12
x = 13
b) Since they have the same base of -3 so
8 + x + 4 = 19
x + 12 = 19
x = 7
