Answer:
Step-by-step explanation:
<h3><u>Given:</u></h3>
θ = 71°
Adjacent = AB = 6.3 cm
<h3><u>Required:</u></h3>
Hypotenuse = BC = ?
We will use the trigonometric ratio of cos.
![\displaystyle cos \theta = \frac{Adjacent}{Hypotenuse} \\\\cos \ 71 = \frac{6.3}{BC} \\\\0.33 = \frac{6.3}{BC} \\\\BC =\frac{6.3}{0.33} \\\\\boxed{BC = 19.4 \ cm}\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20cos%20%5Ctheta%20%3D%20%5Cfrac%7BAdjacent%7D%7BHypotenuse%7D%20%5C%5C%5C%5Ccos%20%5C%2071%20%3D%20%5Cfrac%7B6.3%7D%7BBC%7D%20%5C%5C%5C%5C0.33%20%3D%20%5Cfrac%7B6.3%7D%7BBC%7D%20%5C%5C%5C%5CBC%20%3D%5Cfrac%7B6.3%7D%7B0.33%7D%20%5C%5C%5C%5C%5Cboxed%7BBC%20%3D%2019.4%20%5C%20cm%7D%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Answer:
y = -2x^2 - 4x - 1
Step-by-step explanation:
We can see that the graph passes through (-2, -1), (-1, 1) and (0, -1).
Let's solve
ax^2 + bx + c = y
a(-2)^2 + b(-2) + c = -1
4a - 2b + c = -1
a(-1)^2 + b(-1) + c = 1
a - b + c = 1
a0^2 + b0 + c = -1
c = -1
we got c = -1 so we input it into the other 2
4a - 2b - 1 = -1
4a - 2b = 0
2a - b = 0
2a = b
a - b - 1 = 1
a - b = 2
a = b + 2
Let's input b = 2a
a = 2a + 2
-a = 2
a = -2
b = 2a = 2*(-2) = -4
c = -1
y = -2x^2 - 4x - 1
When two chords<span> intersect inside a circle, the product of the two segments of one </span>chord<span> equals the product of the two segments of the other chord.
</span><span>MN*NL=KN*LN
10x=4*20=80
x=8
ML=MN+NL=18
<span /></span>
Answer:
The answer is C
2.640 and 10,560
Step-by-step explanation:
264 * 410 = (264 * 400) + (264 * 10) = 105,600 + 2640 = 2.640 and 10,560
