Answer:
AC ≈ 5.03
Step-by-step explanation:
We can solve the problem above using the trigonometric ratio, they are;
SOH CAH TOA
sin Ф = opposite / hypotenuse
cosФ= adjacent/ hypotenuse
tan Ф = opposite / adjacent
From the diagram above, in reference to angle B;
opposite =AC and adjacent =BC
Since we have opposite and adjacent, the best formula to use is
tanФ = opposite / adjacent
tan B = AC / BC
tan 40 = AC/ 6
Multiply both-side of the equation by 6
6× tan 40 = AC/ 6 × 6
At the right-hand side of the equation, 6 will cancel-out 6 leaving us with just AC
6×tan 40 = AC
5.034598 = AC
AC ≈ 5.03 to the nearest hundredths
Answer:
3/4
Step-by-step explanation:
We need two points to find the slope
( 20,20) and (60,50)
m = (y2-y1)/(x2-x1)
= (50-20)/(60-20)
= 30/40
= 3/4
Answer:
The building is 36 feet tall.
Step-by-step explanation:
Divide 6 by 4 then multiply by 24.
To find this, turn the word question into an equation.
"One less than" means - 1, which is 1 being subtracted from something.
"half a number" means 1/2x, since 1/2 is half and x is unknown.
"is 12" means = 12, which is something equals 12.
Putting this in order would be 1/2x, then - 1, then = 12.
As an equation, this is 1/2x - 1 = 12.
So the equation is 1/2x - 1 = 12
Now you must find the number by solving this equation.
1/2x - 1 = 12
First, add 1 to both sides.
12 + 1 = 13
1/2x = 13
Now multiply both sides by 2.
This way, x will be isolated since 1/2x • 2 = 1x, and 1x = x.
13 • 2 = 26
x = 26
The number is 26.
Answer:
m=8
Step-by-step explanation:
-88=-3(4m+5)-(1-3m)
-88=-12m-15-(1-3m) <- Distributive Property
-88=-12m-15-1+3m <- Open () if there is a negative negative the symbol equals positive
-88=-9m-16 <- Simplify
0=-9m+72 <- Add 88 to both sides
9m = 72 <- Add 9m to both sides
9m = 72
/9 /9
m=8
