Answer:
arc AB = 70°
arc BC = 110°
arc ABC = 180°
arc CDB = 250°
Step-by-step explanation:
Since these angles are not inscribed, but are at the center point of the circle, the angles and arcs will be the same measure.
Solve for arc AB:
Angle AFB = 70°, so arc AB = 70°
Solve for arc BC:
Angle AFC is a straight angle so it is 180°. To find angle BFC, subtract angle AFB from 180°.
180 - 70 = 110°
Since angle BFC = 110°, arc BC = 110°
Solve for arc ABC:
Add arc AB and arc BC together.
70° + 110° = 180°
arc ABC = 180°
Solve for arc CDB:
There are 360° in a cirlce. To find arc CDB, subtract arc BC from 360°.
360° - 110° = 250°
arc CDB = 250°
To solve this polynomial equation, we first factor the left side.
To factor x² + 8x + 12 = 0, look for factors of 12 that add to 8.
These factors are 6 and 2 so we have (x + 6)(x + 2) = 0.
So either x + 6 = 0 or x + 2 = 0 and solving for
x in each equation, our answer is {-6, -2}.
Answer:to what ?
Step-by-step explanation:
Answer:
1011.05
Step-by-step explanation:
Let's use 3 as an example.
The angle of depression is the one directly under the ballon.
You also know that the 53 degree angle is part of a 90 degree angle.
so the angle inside the triangle directly under the balloon is 37 degrees.
You know the angle and you know the side from the balloon to the ground is 1680. This is the hypotenuse of the triangle.
So which trig function could you use to determine how high the balloon is from the ground?
SOH CAH TOA
cos 37 = a/1680
a = 1341.71
If we were to factor it
what 2 numbers multiply to 32 and addd to 12
8 and 4
(x+8)(x+4)
both signs are positive since all signs in equation are positive
so D is the correct answe
we can use eliminateion also to find the answer
we see that the sign of x^2 and 12x and 32 are both positive, so the signs of the factors also must be positive (can't be B or C)
then, we need to find what 2 numbers multiply to get 32 and add to 12
if we picked 2 (for A), then 2 times 16=32, but 2+16≠12
4 times 8=32 and 4+8=12 so it must be D
