Answer:

Step-by-step explanation:
Evaluate the Pythagorean Theorem for the triangle.
a² + b² = c²
5² + x² = 10²
25 + x² = 100
Subtract 25 from both sides.
x² = 75
Square root.
x = sqrt(75)
Expand the radical.
x = 5*sqrt(3)
Answer:
35ab = 48
Step-by-step explanation:
given
5a = 6 ( divide both sides by 5 )
a = 
and
7b = 8 ( divide both sides by 7 )
b = 
substitute these values for a and b into the expression and simplify
35ab
= 35 ×
×
( divide 35 and 5 by 5 )
= 7 × 6 × 
= 42 ×
( divide 42 and 7 by 7 )
= 6 × 8
= 48
Answer:
40/51
Step-by-step explanation:
Answer:
24m - 28
Step-by-step explanation:
Given the expression (6m−7)⋅4, we are to simplify it. Using the distributive law;
A(B+C) = AB + AC [A is distributed over B and C]
For the expression (6m−7)⋅4, we will distribute 4 over 6m and -7 as shown;
(6m−7)⋅4 = 4(6m) - 4(7)
(6m−7)⋅4 = 24m - 28
Hence (6m−7)⋅4 = 24m - 28
16.75 square yards because area of a triangle is half the base times the height. 40.2÷4.8 is 8.375. Since that is half the base, multiply by two. 8.375×2 is 16.75. Hope that helps! :D