Answer:
D. 6 < x < 22
Step-by-step explanation:
For a triangle, the third side must be less than the sum of the other two sides and it must greater than the difference between the other two sides.
The possible length of the third side of the triangular pen, given the Triangle Inequality Theorem and two given side measures, is best described by the inequality D. 6 < x < 22.
To find the possible length of the third side of a triangle, we use the Triangle Inequality Theorem. The theorem states that the length of any side of a triangle is less than the sum of the lengths of the other two sides and greater than the absolute difference of the lengths of the other two sides. Here, we have the lengths of two sides as 14 ft and 8 ft.
So the sum of these two sides is 14 + 8 = 22 ft. The difference is |14 - 8| = 6 ft. Therefore, the length of the third side 'x' can range between the sum and the difference of the other two sides. Hence, the correct answer is D. 6 < x < 22.
#SPJ2
B. 4761 cm cubed
C. 2484 cm cubed
D. 972 cm cubed
Answer:
Step-by-step explanation:
Graph y = |x|. This graph is v-shaped, opening up, with vertex at (0, 0). Now translate this graph 4 units to the left and 2 units up. The result is the graph of g(x) = |x + 4| + 2.
Next time, please share the possible answer choices. Thanks.
The function g(x) is derived from the function f(x) by translating f(x) graph 4 units to the left and 2 units up
The equation of the function is given as:
The above is an absolute value function, and the equation of the parent function is:
This means that the function g(x) is derived from the function f(x) by translating f(x) graph 4 units to the left and 2 units up
Read more about function transformation at:
The second least value among the fractions is
Step-by-step explanation:
To find:
The least value we will change the fractions into decimal fractions
Given:
Fractions are
Now resolving the above given fractions into their decimal value we get,
= 0.8948
= 0.7692
= 0.8667
= 0.2222
= 0.375
Now, arranging them in ascending order we get,
< < < <
Hence, the second least value is
Answer: 3/8
Step-by-step explanation:
To solve this question, convert to decimal by dividing the numerator by the denominator.
17/19 = 17 ÷ 19 = 0.89
10/13= 10÷13= 0.77
13/15= 13 ÷15= 0.87
2/9= 2÷9= 0.22
3/8= 3÷8=0.38
Therefore, least value of fraction is 2/9 while second least value is 3/8.
I hope this helps.