Answer:
Step-by-step explanation:
<u>Given</u>
- ΔABC ⇒ A(- 1, 3), B(- 1, 1), C(3, 1)
- ΔA'B'C' ⇒ A'(2, - 2), B'(2, - 4), C'(6, - 4)
<u>Comparing the coordinates of the corresponding vertices, we see the difference:</u>
It means the ΔABC has been translated 3 units right and 5 units down
Correct answer choices are B and E
Let's assign a variable that is the number when multiplied by 10% it is equal to 0.1.
Well let that be x.
Now we want to convert the 10% into a decimal. To convert a percent into a decimal, simply move the % sign two places to the left and make it into a decimal point.
When we say "of" in mathematics what we really mean is to multiply.
0.10 * x = 0.1
That is the equation we need to find the value of x for.
Divide both sides by 0.10
0.10 * x = 0.1
The 0.10 on the left side cancels out.
x = 1
So, the answer to this question is if we multiply 10% by 1 we will get 0.1.
A triangle with a base of 2 and a height of 3.
Double the base and it becomes 4, and double the height and it becomes 6.
Area of the new figure = 1/2 * base * height = 1/2 * 4 * 6 = 2 * 6 = 12
The area of a towelette with double the base and double the height is 12 inches^2.
Set them into slope-intercept forms of equations then set those equations equal to each other and solve for x and y. y = 34x - 5 and y = -14x+3. Set those equal to each other, solve for x to get x = 1/6. Sub in that x value to get y = 2/3. The point where they intersect is the solution of the system; in other words, where on both lines we have the exact same (x, y) value.
Answer:
height for the building = 551.8 ft
Step-by-step explanation:
The info given describes the shape of a right triangle.
Thus:
Reference angle = Angle of elevation = 23°
Opposite side = height of the building = ?
Adjacent side = 1,300 ft
Apply trigonometric function, TOA:
Tan 23 = Opp/Adj
Tan 23 = Opp/1,300
1,300 × Tan 23 = Opp
551.817261 = Opp
Opp ≈ 551.8 ft
height for the building = 551.8 ft
