All categories

8 months ago

If m∠A = 56°, m∠B = 60°, and c = 8, what is the measure of side length b?

Mathematics

1 answer:

Alekssandra [29.7K]8 months ago

5 0

Using the law of sines:

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

Solve for b:

$\begin{gathered} b=\frac{c\cdot sin(B)}{sin(C)} \\ so: \\ b=\frac{8\cdot sin(60)}{sin(64)} \\ b\approx7.708 \end{gathered}$

Answer:

7.708

You might be interested in

Mai bought a tv for 330.00 the tax rate is 8% what is the total amount paid for the tv

xxTIMURxx [149]

Mai bought a TV for $mai bought a tv for 330.00

the tax rate is 8%

330.00 x 0.08 = 26.40

what is the total amount paid for the tv

330.00 + 26.40 = 356.40

7 0

3 years ago

The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9

mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

The height $h(t)$ of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation $h(t) = 3 +90\cdot t -16\cdot t^{2}$ , where $t$ is time in seconds. After how many seconds will the ball be 84 feet above the ground.

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

$3+90\cdot t -16\cdot t^{2} = 84$

$16\cdot t^{2}-90\cdot t +81 = 0$ (1)

By Quadratic Formula:

$t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}$

$t_{1} = 4.5\,s$ , $t_{2} = 1.125\,s$

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

3 0

2 years ago

Bailey writes the expression g2 + 14g + 40 to represent the area of a planned school garden in square feet. What factors can be

iragen [17]

Answer:

it is D

Step-by-step explanation:

I know things dude. I got your back :-)

5 0

3 years ago

Read 2 more answers

Solve the equation. x2 − 6x − 7 = 0 A) x = 7 B) x = 1 C) x = 1 or x = −7 D) x = −1 or x = 7

aniked [119]

Answer:

Step-by-step explanation:

3 0

3 years ago

PLEASE I BEG FOR HELP! Find mKNL A. 247 B. 184 C. 196 D. 264

fiasKO [112]

Answer:

D. 264°

Step-by-step explanation:

When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs. Therefore,

60° = 1/2[(18x - 6)° - (5x +17)°]

60° * 2 = (18x - 6 - 5x - 17)°

120° = (13x - 23)°

120 = 13x - 23

120 + 23 = 13x

143 = 13x

143/13 = x

11 = x

x = 11

(18x - 6)° = (18*11-6)°= (198 - 6)° = 192°

(5x +17)° = (5*11 +17)° =(55+17)° = 72°

m (arc KNL) = (18x - 6)° + (5x +17)° = 192° + 72°

m (arc KNL) = 264°

7 0

2 years ago