Answer:
Step-by-step explanation:
Sin(A) = 5/7
Sin(A) = 0.7143
A = sin-1(0.7143
A = 45.58
B = 180 - 45.58 - 90
B = 44.43
C = 90
c = 7
a = 5
b^2 = c^2 - a^2
b^2 = 7^2 - 5^2
b^2 = 49 - 25
b^2 = 24
b = 4.899
Answer:
5 sq. ft.
Step-by-step explanation:
To find the area of a rectangle, use this formula: A = lw.
Because you know two side lengths of the window, you can just plug in the numbers to the formula.
But not yet! You need to convert the given lengths into feet first.
You know that there are 12 inches in 1 foot.
So:
24 inches ÷ 12 inches/foot = 2 feet
30 inches ÷ 12 inches/foot = 2.5 feet
Alright, now you can plug in these lengths into the formula.
A = (2) (2.5) = 5 sq. ft.
The question asks you to round, but there is nothing to round, so you are done here.
Option A:
6 – 4(3) < 5 – 10
Solution:
Given expression is 6 – 4(3) ____ 5 – 10.
Let us first simplify the expression.
Take left side expression.
⇒ 6 – 4(3)
⇒ 6 – 12
⇒ –6
Take right side expression.
⇒ 5 – 10
⇒ –5
To find which symbol makes the expression true.
In negative the highest number is the lowest in value.
–6 < –5
⇒ 6 – 4(3) < 5 – 10
Option A is the correct answer.
Hence 6 – 4(3) < 5 – 10.
Answer:
5. 1
6. Kari is not correct.
Step-by-step explanation:
5. All like terms can be combined. There will be one term remaining after they are.
___
6. The appropriate factoring is x(x+1). This is not the same as x(2x+1).
In order to show equivalence, you need to show that the expressions produce the same result for as many different values of x as the degree of the expression plus 1. That is, you'd need to show equivalence for <em>3 different values of x</em>, as a minimum for this second-degree expression.
Multiply the second equation by -2. This will cancel out the y