The answer to the 1st question is..
D. 27 cm
The answer to the 2nd question is..
B. 10, 042. 95
Hope this helps!!
Answer:
23 ft³
Step-by-step explanation:
Hope it helps.
Answer:
41.04 meters
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. The initial position is given by A. The tree is denoted as C and the fence post is denoted as B. Since the use of sine rule will complicate the question, it will be easier to solve this question using the cosine rule. Therefore, cosine rule will be used to calculate the length of BC. The cosine rule is:
BC^2 = AB^2 + AC^2 - 2*AB*AC*cos(BAC).
The question specifies that AC = 70 meters, BAC = 25°, and AB = 35 meters. Plugging in the values:
BC^2 = 35^2 + 70^2 - 2(35)(70)*cos(25°).
Simplifying gives:
BC^2 = 1684.091844.
Taking square root on the both sides gives BC = 41.04 meters (rounded to two decimal places).
Therefore, the distance between the point on the tree to the point on the fence post is 41.04 meters!!!
Answer:
1. k= 6
2. z= 4
Step-by-step explanation:
1. Given equation is:
6k+8=-10
We will solve the equation.
Subtracting 8 from both sides
6k+8-8 = -10-8
6k = -18
Dividing both sides by 6
2. Given equation is:
5z-5=15
We will solve the equation.
Adding 5 on both sides
5z-5+5=15+5
5z=20
Dividing both sides by 5
Hence,
1. k= 6
2. z= 4