Answer:
i. sin(C) =
ii. tan(C) =
iii. sin(B) =
Step-by-step explanation:
Given a right angled triangle ABC, with a right angle at A.
<ABC =
<BCA =
AC = 9 = 1
CB = 18 = 2
Applying Pythagoras theorem to ΔABC, we have;
AB =
=
=
Thus applying the trigonometric ratios, it would be observed that;
i. sin(C) =
ii. tan(C) =
iii. sin(B) =
Answer:
16 blueberries and 4 strawberries
Step-by-step explanation:
Given:
A bowl contains blueberries and strawberries there are a total of 20 berries in the bowl.
The ratio blueberries to strawberries is 4 to 1
Question asked:
How many of each berry are in the bowl ?
Solution:
Ratio of blueberries and strawberries = 4 : 1
Let ratio be
Number of blueberries in the bowl =
Number of strawberries in the bowl =
As total berries in the bowl are 20 and the bowl contains both blueberries and strawberries in the ratio 4 : 1 :-
Dividing both sides by 5
Number of strawberries in the bowl = = 4
Number of blueberries in the bowl = =
Thus, there are 16 blueberries and 4 strawberries in the bowl.
Answer:
Uhm well you can use sunscreen or a nice hat
Step-by-step explanation:
Answer: (3.5,-2)
Step-by-step explanation:
To solve this problem, all we have to do is plug in y=-2 into either equations from step one to find the coordinate. To make sure we have the right x-coordinate, let's plug in y for both equations.
4x-7y=28 [plug in y=-2]
4x-7(-2)=28 [multiply]
4x+14=28 [subtract both sides by 14]
4x=14 [divide both sides by 4]
x=3.5
------------------------------------------------------------------------------------------------------------
6x-5y=31 [plug in y=-2]
6x-5(-2)=31 [multiply]
6x+10=31 [subtract both sides by 10]
6x=21 [divide both sides by 6]
x=3.5
Now, we know the solution to the system is (3.5,-2).
It depends on the terms of the account.
If interest is compounded annually, 650*1.06^5 ≈ 869.85 . . . . dollars.
If interest is compounded quarterly, 650*1.015^20 ≈ 875.46 . . dollars.
If interest is compounded monthly, 650*1.005^60 ≈ 876.75 . . .dollars.