F(x) is continuous for all x.
Pick a point and show that f(x) is either negative or positive. Pick another point and show that f(x) is negative, if positive, or positive, if negative.
At x = 30, f(30) - 1000 = 900 + 10sin(30) - 1000 ≤ 0
Now, show at another point f(x) - 1000 is positive, and hence, there would be root between 30 and such point.
Let's pick 40.
At x = 40, f(40) - 1000 = 1600 + 10sin(40) - 1000 ≥ 0
Since f(x) - 1000 is continuous, there lies a root between 30 and 40, and hence, 30 ≤ c ≤ 40
To get the value of h we use proportionality:
ΔABC is similar to ΔADB and is similar to ΔBDC this is because they are right triangles. This implies that there corresponding sides are equal. Hence:
AD=25-16=9
using Pythagorean theorem:
c^2=a^2+b^2
then:
AB^2=(h^2+9^2)
Also:
(BC)^2=(AB)^2+(AC)^2
=25^2-(h^2+9^2)
Also:
(BC)^2=(BD)^2+(DC)^2
thus
(BC)^2=h^2+16^2
hence combing the values for (BC)^2 we get:
25^2-(h^2+9^2)=h^2+16^2
simplifying we obtain:
625-h^2-81=h^2+256
putting like terms together
625-81-256=h^2+h^2
288=2h^2
thus
h^2=144
hence
h=√144
h=12 units
I’m not sure but the patterns seems to be adding three every week.
Answer: 250- 9/24
p
250, minus, start fraction, p, divided by, 24, end fraction dollars left.
Step-by-step explanation:
Liam had \$250$250dollar sign, 250. Then, he and his classmates bought a present for their teacher, evenly splitting the \$p$pdollar sign, p cost among the 242424 of them.
