Answer: Yes it is possible to construct a triangle and it will be an isosceles triangle.
Step-by-step explanation:
The triangle inequality says that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.
The given sides of the triangle is 4 inches, 4 inches, and 7 inches.
Here,
So by triangle inequality, a triangle with sides 4 inches, 4 inches, and 7 inches. is possible.
Since it has two equal sides as 4 inches , then it must be an isosceles triangle.
Answer:
zero (0)
Step-by-step explanation:
Order of operations rules require that we do the work inside parentheses first:
2 5/6 - (4 1/3 - 3/2)
The LCD of 13 and 3/2 is 6.
2 5/6 - (4 1/3 - 3/2) becomes 2 5/6 - (4 2/6 - 9/6), or
2 5/6 - (26/6 - 9/6), or
2 5/6 - (17/6)
Rewriting 2 5/6 as 17/6, we get:
17/6 - 17/6 = 0
This expression evaluates as zero (0).
Multiply both sides by 2
5-2h=h
Then add 2h to both sides
5=3h
Divide both sides by 3
5/3=h
Final answer: h=5/3
Answer:
Step-by-step explanation:
Required
Match each expression to their simplified form
1.
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Split the fraction in the bracket
Simplify the fraction by using the following law of indices;
The expression becomes
Further simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence,
2.
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Further simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence,
3.
Simplify the numerator as thus:
Simplify the denominator as thus:
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence,
4.
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence