Answer:
A, C, D and K
Step-by-step explanation:
First, plot the solution set to the system of two inequalities.
The inequality determines solid line and bottom shaded region under this line.
The inequality determines dotted line and top shaded region under this line.
The intersection of these two regions is the solution set to the system of two inequalities.
Points A, C, D and K belong to this region.
Answer:
im not very sure but i think its A or C
The area of a triangle is calculated by multiplying the base and the height, then dividing that value by 2.
(1/2)bh
The total weight of Mason is 177
<em><u>Solution:</u></em>
Given that, Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day
Mr.Mason drinks 118 ounces each day
Let "x" be the total weight of Mr.Mason
Therefore, we can say,
Two third of body weight = Amount of gatorade drank in ounces per day
Two third of x = 118
Thus total weight of Mason is 177
We'll use standard labeling of right triangle ABC, C=90 degrees, legs a, b, hypotenuse c.
11.
Right triangle, cliff peak A, boat B, angle opposite cliff is B=28.9 deg. adjacent leg a=65.7 m, cliff height is leg b.
tan B = b/a
b = a tan B = 65.7 tan 28.9° = 36.3 m
12.
Similar story, boat at B, opposite b=3.5 m, rope c=12 m
sin B = b/c
B = arcsin b/c = arcsin (3.5/12) = 17.0°
13.
c=124 m, A=58°
sin A = a/c
a = c sin A = 124 sin 58 = 105.2 m
14.
That's a hypotenuse c=4-1.2 = 2.8 m to a height b=1.8m so
cos A = b/c
A = arccos b/c = arccos (1.8/2.8) = 50.0°
15.
Not a right triangle, an isosceles triangle. Half of it is a right triangle with hypotenuse one arm, c=9.8 cm and angle opposite half the base of B=62/2=31°. We're after d=2b:
sin B = b/c
b = c sin B
d = 2b = 2 c sin B = 2(9.8) sin 31 = 10.1 cm
Almost equilateral