Answer:
C
Step-by-step explanation:
the cos of an angle of 45° is equal to √2/2~=0,7071
Do you want the full explanation?
Mrs. Brown's class will earn 30 minutes of recess.
Answer:
(0,0)
Step-by-step explanation:
4x + 4x = 0
8x = 0
8x / 8 = 0 / 8
x = 0
y = 4x
y = 4(0)
y = 0
Answer:
Step-by-step explanation:
This question is incomplete; find the complete question in the attachment.
Given curve is modeled by the quadratic equation,
y = x²
If the curved pit is shifted 2 units down,
Equation of the translated curve will be,
y = x² - 2
If the curved pit is translated (shifted) by 2 units left,
Equation of the new curve will be,
y = (x + 2)²
If the curved pit is shifted by 2 units right,
Equation of the translated curve will be,
y = (x - 2)²
If the curved pit is shifted 2 units up,
Equation of the translated curve will be,
y = x² + 2
Answer:
16√3 cm²
Step-by-step explanation:
The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.
Let's consider one side of the triangle to be 'x'
Givent that, the perimeter is 24cm,
The equation should be x + x + x = 24
⇒3x = 24
∴ x = 8 cm
To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.
Since it is an equilateral triangle, all angles are exact 60°.
let's draw a line and mark it as 'h'.
we can use sine formula to find out the opposite i.e. h
sin∅ = opposite ÷ hypotaneous
sin 60° = h ÷ 8
h = 8 sin 60°
h= 4√3
Now, let's find the area
Area = 1/2 × base × height
Area = 1/2 × 8 × 4√3
area= 16√3 cm²