Answer: s^2-5s-1/s
Step-by-step explanation: Simplify the expression.
Hope this helps you out! ☺
Answer:
This is NOT a function. Because if you used the vertical line test it would hit that line 2 times.
Step-by-step explanation:
Answer:
Perimeter = (11x + 12)
Step-by-step explanation:
Since, perimeter of a polygon is represented by the sum of measures of all sides,
Perimeter of the given polygon = 3x + (x + 10) + 5x + (2x + 2)
By adding like terms of the expression,
Perimeter of the polygon = (3x + x + 5x + 2x) + (10 + 2)
= (11x + 12)
Therefore, expression for the perimeter is (11x + 12).
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
Answer:
24 cm³
Step-by-step explanation:
V = LWH = 2 × 3 × 4 cm³ = 24 cm³
