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svet-max [94.6K]

3 years ago

5

‼️help please ASAP ‼️

1 answer:

4vir4ik [10]3 years ago

7 0

By the Law of Sine,
$\frac{ \sin(77) }{89} = \frac{ \sin(46) }{x}$
Solve for x and get x = 65.7.

You might be interested in

Which is the approximate solution to the system y = 0.5x + 3.5 and y = − 2/3 x + 1/3 shown on the graph? (–2.7, 2.1) (–2.1, 2.7)

AlekseyPX

Answer:

The approximate solution to the system is $(-2.7, 2.1)$ .

Step-by-step explanation:

To solve the system of equations $\begin{bmatrix}y=0.5x+3.5\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}$ you must:

$\mathrm{Rationalize\:equations}\\\\\begin{bmatrix}y=\left(\frac{1}{2}\right)x+\left(\frac{7}{2}\right)\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}$

$\mathrm{Subsititute\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\begin{bmatrix}-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\end{bmatrix}$

$\mathrm{Isolate}\:x\:\mathrm{for}\:-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\\\\-\frac{2}{3}x=\frac{19}{6}+\frac{1}{2}x\\\\-\frac{7}{6}x=\frac{19}{6}\\\\6\left(-\frac{7}{6}x\right)=\frac{19\cdot \:6}{6}\\\\-7x=19\\\\x=-\frac{19}{7}\approx-2.7$

$\mathrm{For\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\mathrm{Subsititute\:}x=-\frac{19}{7}\\\\y=-\frac{2}{3}\left(-\frac{19}{7}\right)+\frac{1}{3}\\\\y=\frac{15}{7}\approx 2.1$

The approximate solutions to the system of equations are:

$x=-2.7 ,\:y=2.1$

5 0

3 years ago

Read 2 more answers

Two vectors a and b have magnitudes 2√2 and 9 respectively. Also, a⋅b=18. Find the angle between a and b to the nearest whole de

ivann1987 [24]

Answer:

The angle is the 32 is the angle

5 0

2 years ago

Calculate the amount of work done if you use a 150N force to push a 50kg box 5m across the kitchen floor.

anzhelika [568]

Answer:

750 J

Step-by-step explanation:

4 0

2 years ago

Find the slope and the y-intercept of the graph of y=4x−5.

Vsevolod [243]

Answer:

Slope is 4 Y intercept is -5

Step-by-step explanation:

Y intercept is always the second number, and the slope is always with the x after. Also Y=MX+B

8 0

3 years ago

The ratio of students to teachers at a school is 19 to 1 how many students are there in each total number of people

vladimir2022 [97]

<u>Question</u>:

The ratio of students to teachers at a school is 19 : 1. How many students are there in each total number of people?

A: 100 people

b. 280 people

c.440 people

d.760 people

<u>Answer</u>:

A )95 students and 5 teachers

B)266 students and 14 teachers

C)418 students and 22 teachers

D)722 students and 38 teachers

<u>Step-by-step explanation:</u>

<u><em>A: 100 people</em></u>

Ratio = 19 : 1

The sum of the ratio is 19 + 1 = 20

Scale factor = $\frac{100}{20}$

scale factor = 5

The number students is $19 \times 5$ = 95

The number of teachers is $1 \times 5$ = 5

<em><u>b. 280 people </u></em>

Ratio = 19 : 1

The sum of the ratio is 19 + 1 = 20

Scale factor = $\frac{280}{20}$

scale factor = 14

The number students is $19 \times 14$ = 266

The number of teachers is $1 \times 14$ = 14

<em><u>c.440 people</u></em>

Ratio = 19 : 1

The sum of the ratio is 19 + 1 = 20

Scale factor = $\frac{440}{20}$

scale factor = 22

The number students is $19 \times 22$ = 418

The number of teachers is $1 \times 22$ = 22

<em><u>d.760 people</u></em>

Ratio = 19 : 1

The sum of the ratio is 19 + 1 = 20

Scale factor = $\frac{760}{20}$

scale factor = 38

The number students is $19 \times 38$ = 722

The number of teachers is $1 \times 38$ = 38

5 0

3 years ago