<h3>
Answer: Choice D) 56 degrees</h3>
How I got that answer:
Angle DCE is given to be 62 degrees. By the inscribed angle theorem, It doubles to 124 degrees, which is the measure of central angle DAE.
Note how angles DAF and DAE are a linear pair. This means they are adjacent supplementary angles. So they add to 180
(angle DAF)+(angle DAE) = 180
(angle DAF) + (124) = 180
angle DAF = 180-124
angle DAF = 56
Answer:
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex ad a is a multiplier
Here (h, k ) = (8, - 1 ) , then
y = a(x - 8)² - 1
To find a substitute (0, - 17 ) into the equation
- 17 = a(0 - 8)² - 1 ( add 1 to both sides )
- 16 = 64a ( divide both sides by 64 )
= a , that is
a = -
y = - (x - 8)² - 1 ← equation of parabola
Y = -x + 2
y = 3x + 1
-x + 2 = 3x + 1
+ x + x
2 = 4x + 1
- 1 - 1
1 = 4x
4 4
¹/₄ = x
y = 3x + 1
y = 3(¹/₄) + 1
y = ³/₄ + 1
y = 1³/₄
(x, y) = (¹/₄, 1³/₄)
The answer is A.
Answer:
700 square feet
Step-by-step explanation:
We can simply divide 630 by 0.9 to find the value:
<em>Checking, if she goes for 700 sq ft at $0.90 per square feet, she would need:</em>
<em> 700 * 0.90 = $630</em>
<em />
Yes, that's the max, so 700 sq. feet apartment is what she can afford.
The triangle has a 45-deg angle.
The base angles are congruent and measure 67.5 deg.
The congruent sides measure 1 ft.
Use law of sines to find the length of the base.
Draw a height from the vertex of the 45-deg angle to the base.
Half of the base is 0.765 ft/2 = 0.383 ft
We can find the height of the triangle using the small triangles.
0.383^2 + h^2 = 1^2
h = 0.9239 ft
A = bh/2 = 0.765 * 0.9239/2 ft^2
A = 0.354 ft^2