Answer:
As 6^2 + 8^2 = 10^2
Therefore, triangle is a right angle triangle
Step-by-step explanation:
Answer:
B)60m^2
Step-by-step explanation:
The area of the rectangle is 40m^2 and the area of the triangle is 20m^2. So 40+20 is 60.
Answer:
Step-by-step explanation:
A=2i+3j+4k
B=i-2j+3k
Sum of the vectors:
A + B = 2i+3j+4k + i-2j+3k = 3i + j + 7k
Direction of the sum of the vectors:

Answer:
50 inches.
Step-by-step explanation:
Let the length of the each ribbon was x.
Now, she cuts 9 pieces of same length L which means total length is 9L.
Now, doing the same she was left with 5 inches of ribbon. Hence, we have
[tex[9L+5=x.....(1)[/tex]
Similarly, we can write a equation for the second situation.

From equation 1 and 2,

Plugging this value in equation 1,

Therefore, the length of each ribbon when she bought them was 50 inches.
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for A
A = 180° - (90 + 46)° = 180° - 136° = 44°
----------------------------------------------------------------
tan46° =
= 
Multiply both sides by 23
23 × tan46° = b, thus
b ≈ 23.8 ( to the nearest tenth )
-----------------------------------------------------------------
cos46° =
= 
Multiply both sides by c
c × cos46° = 23 ( divide both sides by cos46° )
c =
≈ 33.1 ( to the nearest tenth )