Answer: 7.81 feet
Step-by-step explanation:
This scenario forms a right-angled triangle where Ruby's height of 5 feet is the height of the triangle. Her 6 feet long shadow is the length of the triangle and the distance from the top of her head to the end of the shadow is the hypotenuse.
This can therefore be solved by the Pythagorean formula:
c² = a² + b²
where ;
c = hypotenuse
a = height
b = length
c² = 5² + 6²
c² = 25 + 36
c² = 61
c = √61
c = 7.81 feet
Answer:
85/7
Step-by-step explanation:
log2 + log7(x-5) = 2
log(14(x-5)) = 2
14x - 70 = 10²
14x = 170
x = 170/14
x = 85/7 or 12 1/7
Points please because I need them to cheat 2x
Answer:
a. FALSE
b. FALSE
c. FALSE
d. TRUE
Step-by-step explanation:
Statement a.
2 (3 - 4 y) = 6 - 4 y
use distributive property on the left:
6 - 8 y which is NOT 6 - 4 y then, FALSE statement
Statement b.
3 + 5 (9 + 2 n) = 48 + 5 n
apply distributive property on the left:
3 + 45 + 10 n = 48 + 10 n which is NOT 48 + 5 n then , FALSE statement
Statement c.
9 - 3 (y - 2) = 3 - 3 y
apply distributive property on the left:
9 - 3 y + 6 = 15 - 3 y which is NOT 3 - 3 y then, FALSE statement
Statement d.
3 (6 x - 2) - 7 = 18 x - 13
apply distributive property on the left:
18 x - 6 - 7 = 18 x - 13 which IS the same as 18 x - 13 then , TRUE statement
opposite angles are equal
so <B = <D = 145
Answer
B. 145
