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:
23,713
Step-by-step explanation:
27,202 - 3489 = 23,713.
I'm not sure if you meant to put a minus sign at the end, or you just meant to put an equal sign?
Line up the numbers with the largest number on top. Then subtract from the number above it by the number below it. Whenever you need to, you can borrow from the next place value. Ask any questions you need to.
Answer:
yea by using a resipe
Step-by-step explanation:
Looking at the given question, we can find several important information's and based on thm we can easily calculate the amount after 10 years.
Principal amount = $550
Rate of interest per year = 3%
Number of years the amount is to be kept = 10 years
Now we get put these information's in the formula of finding amount of money kepy in simple interest.
Amount = P(1 + rt)
Where
p = principal amount
r = rate of interest
t = Time
Then
Amount = 550[1 + (3/100) * 10)]
= 550 [1 + 3/10]
= 550 * (13/10)
= 55 * 13
= 715 dollars
So the total amount in my account will be $715
Answer:
(3,6)
Step-by-step explanation:
-2x+3y=12
Let x = 3
-2(3) +3y = 12
-6+3y = 12
Add 6 to each side
-6+6 +3y = 12+6
3y = 18
Divide each side by 3
3y/3 = 18/3
y = 6
