Find Angle B: B = 180 - (82+55) = 43. Then apply the law of sines:

b 8 cm
--------- = ----------
sin 43 sin 55
(sin 43)(8 cm)
Solving for b, we get b = ------------------- = 6.66, or 6.7 (cm, to the nearest tenth).
sin 55

5 0

3 years ago

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What is the volume of the triangular prism? Enter your answer in the box<br> ___mm^3

luda_lava [24]

Answer:

840mm^3

Step-by-step explanation:

V=(1/2)LWH

L=14

W=10

H=12

14*12*10=1680

Then divide by 2

840

8 0

3 years ago

The graph of f(x) = x2 is shifted 3 units to the left to obtain the graph of g(x). Which of the following equations best describ

ANTONII [103]

Answer:

g(x) = (x + 3)^2

Step-by-step explanation:

When a function is shifted to the left or right we can think of a change of units, like a new independent variable is used.

If we have a quadratic function

$f(x)=x^2$

and the graph is shifted 3 units to the left, then we can think of a new unit u that is:

$g(x)=u^2$

The vertix of this parabola, that happens for u=0, happens for x=-3, as the graph is shifted 3 units to the left.

Then, the relation between u and x is:

$u-x=0-(-3)=3\\\\u=x+3$

We can use this relation in the new graph and replace u as:

$g(x)=(x+3)^2$

6 0

3 years ago

If the measure of an inscribed angle is 142 degrees, what is the measure of its intercepted arc? (just write the number, no degr

aniked [119]

10 neváis bien. Je Enid know en me. E

3 0

2 years ago