Answer:
117 degrees
Step-by-step explanation:
So we already know that one angle is 38 degrees, so we have that one. The angle, 101 is exterior, and we have to subtract 180 from that to get the interior angle. We get a difference of 79. Since the sum of a triangle's interior angles are 180, we have to add 38+79 to get 117. Then, we have to subtract it from 180 to get the value of the interior angle as 63 degrees. Because x is on the outside, we have to again subtract 63 from 180 to get the missing value of x as 117.
Answer:
0.9995
Step-by-step explanation:
10% = 0.10
1 - 0.10 = 0.9
n = number of light bulbs = 7
we calculate this using binomial distribution.
p(x) = nCx × p^x(1-p)^n-x
our question says at most 4 is defective
= (7C0 × 0.1⁰ × 0.9⁷) + (7C1 × 0.1¹ × 0.9⁶) + (7C2 × 0.1² × 0.9⁵) + (7C3 × 0.1³ × 0.9⁴) + (7C4 × 0.1⁴ × 0.9³)
= 0.478 + 0.372 + 0.1239 + 0.023 + 0.0026
= 0.9995
we have 0.9995 probability that at most 4 light bulbs are defective.
We know that
in the IV quadrant
cos theta is positive
and
sin theta is negative
so
cot theta=cos theta/sin theta--------> cot theta must be negative
sec theta=1/cos theta------> sec theta must be positive
therefore
the answer is the option
<span>A. cannot be true because sec(theta) is greater than zero in quadrant 4</span>
She simplified it wrong because you're only supposed to simplify it with the same numbers. For example: simplify 2/4. You divide it by 2/2. You do the same and it will be correct.
Answer:
A linear equation can have no, one or infinite solutions.
Step-by-step explanation:
No Solution:
Consider the equation 8x - 19 = 8x + 19
Subtract 8x from both the sides. We get:
8x - 8x - 19 = 8x - 8x + 19
⇒ - 19 = 19
This is absurd. So, this system of equations has no solution.
One Solution:
For the equation 9x + 5 = 14
⇒ 9x = 9
⇒ x = 1 the only solution to the equation.
Infinite Solutions:
The solution to the equation 3x = 3x are infinite.
Whatever the value of x the equation always remains the same. So, we have infinite values of x that can satisfy the equation.
