Answer:
C
Step-by-step explanation:
C
Answer:
V = 36 1/4 in.^3
Step-by-step explanation:
V = LWH
L = 3 5/8 in.
W = 2 1/2 in.
H = 4 in.
V = (3 5/8)(2 1/2)(4) in.^3
Change the mixed numerals to fractions.
<em>To change the mixed numeral a b/c to a fraction, do this: </em>
<em>a b/c = (ac + b)/c</em>
V = (3 * 8 + 5)/8 * (2 * 2 + 1)/2 * 4/1
V = (24 + 5)/8 * (4 + 1)/2 * 4/1
V = 29/8 * 5/2 * 4/1 in.^3
V = 580/16 in.^3
V = 145/4 in.^3
V = 36 1/4 in.^3
We can use the coordinates (-4, 5) and (0, 6) to find the slope.
Slope Formula: ![\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
Solve: ![\frac{6 - 5}{0 - (-4)} = \frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B6%20-%205%7D%7B0%20-%20%28-4%29%7D%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
The slope of the line is \Large\boxed{\mathsf{1/4}}
Written in slope-intercept form: y = 1/4x + 6
Hope This Helped! Good Luck!
We have that
sin ∅=-0.7660
the sin ∅ is negative
so
∅ belong to the III or IV quadrant
but
180°< ∅ < 270°
hence
∅ belong to the III quadrant
sin ∅=-0.7660
sin² ∅+cos² ∅=1
cos² ∅=1-sin² ∅------> cos² ∅=1-(0.7660)²-----> 0.4132
cos ∅=√0.4132-----> cos ∅=0.6428
the value of cos ∅ is negative-------> III quadrant
cos ∅=-0.6428
tan ∅=sin ∅/ cos ∅----> tan ∅=-0.7660/-0.6428----> tan ∅=1.1917
the answer is
tan ∅ is 1.1917