Answer:
43in
Step-by-step explanation:
Perimeter = sum of the sides
Perimeter = 11 + 10 + 10 + 12 = 43
Answer:
The vertex is at (1, -108).
Step-by-step explanation:
We have the function:
And we want to find its vertex point.
Note that this is in factored form. Hence, our roots/zeros are <em>x</em> = 7 and <em>x</em> = -5.
Since a parabola is symmetric along its vertex, the <em>x-</em>coordinate of the vertex is halfway between the two zeros. Hence:
To find the <em>y-</em>coordinate, substitute this back into the function. Hence:
Therefore, our vertex is at (1, -108).
Answer:
x= 9.89
y= 7
Step-by-step explanation:
..........
Answer:
166°
Step-by-step explanation:
Let's label our triangle.
We'll name the left one, next to ∠x, ∠A.
The bottom one, next to the 97°, ∠B.
And the top one, ∠C.
We know what angle ∠A is because its a supplementary angle to the 97° one.
180° - 97° = 83°
We know that the triangle is isosceles, so that gives us ∠C as well. 83°
∠A is the last remaining angle.
The sum of the angles to our ΔABC is 180°.
∠A = 180° - ∠B - ∠C
∠A = 180° - 83°- 83°
∠A = 14°
∠x and ∠A are supplementary angles!
∠x = 180° - ∠A
∠x = 180° - 14°
∠x = 166°
Set up an equation of ratios as shown below:
h 24 ft 4
----- = ---------- = ---
4 6 ft 1
Cross multiplying the 1st and 3rd fractions, we get h=16 ft (answer)
