The answer is C. (2jk)^-2
Answer:
6.7 cm
Step-by-step explanation:
To make use of the Law of Sines for finding b, you need to know the missing angle B. Since the sum of the angles of a triangle is 180°, you can find angle B as ...
B = 180° -82° -55° = 43°
Now, you put the numbers you know into the formula given and solve for b.
sin(A)/a = sin(B)/b
sin(55°)/(8 cm) = sin(43°)/b
Cross multiplying gives ...
b·sin(55°) = (8 cm)·sin(43°)
and dividing by the coefficient of b gives you ...
b = (8 cm)·sin(43°)/sin(55°) ≈ 6.7 cm
Answer:
The length of the slide is 10 feet.
Step-by-step explanation:
To find the length of the slide you have to use the formula:
a^2 + b^2 = c^2 (^2 means squared)
In this case:
a= 6 and b=8 c= unknown
6 squared (6 times 6) is 36
8 squared (8 times 8) is 64
Add these two numbers to get:
36+64=100
6^2+8^2=100
However, the length of the slide in not 100 feet. In order to find the correct length you must find the square root of 100. Which is 10.
What number times itself equals 100? 10.
The length of the slide in 10 feet.
Answer:
Expression: 0.15 * 20
Equation: 0.15 * 20 = 3
Step-by-step explanation:
This expression was found by dividing 15% by 100 to convert it into a decimal (0.15) that can be used to multiply with 20 to get your answer.
I believe you should try to plug in the ordered pair to see if the solutions work.
The ordered pair is (x,y) because x is on the x-axis and y is on the y-axis, therefore in (16,-3) the x=16 and y=-3.
Now substitute, meaning plug in those numbers into the equation.
For x+2y=10 would be 16+2(-3)=10
Now you just need to solve one side and see if it equals the other side.
16+2(-3)
First you use order of operations to solve this. PEMDAS. So you multiply 2(-3) first because of the parenthesis and it being multiplication.
16+(-6) and when you have a positive number adding a negative number it’s going backwards of the number line, basically meaning subtraction in a way. Sorry if this confuses you, if you already know how to do negatives and such nevermind this part.
But 16+(-6)=10
So now you look at both side of the equation, does the left side equal to the right? 10=10, so yes. It is a solution for that equation.
Now for the next equation, 7y=-21
Again, plug in the ordered pair (16,-3) into the equation. Remember that it’s (x,y).
There is no x in this equation so no need to worry about that; you only plug in y for this one.
7(-3) Now you multiply. Whenever you multiply a positive number and a negative number, the answer will always be negative. So 7(-3) is -21.
Now look if the left side is equivalent to the right. Does -21=-21? Yes. The ordered pair is a solution.
(16,-3) is a solution to both equations.
Hope this helps!
