Lol i'm taking a test from everything i learned in middle school to nowwww . HELP & EXPLAIN

What is the value of z, rounded to the nearest tenth? Use the law of sines to find the answer. 2. 7 units 3. 2 units 4. 5 units

worty [1.4K]

The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

The value of the $z$ is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.

The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

It can be given as,

$\dfrac{\sin A}{a} =\dfrac{\sin B}{b} =\dfrac{\sin C}{c}$

Here $A,B,C$ are the angle of the triangle and $a,b,c$ are the sides of that triangle.

Given information-

The triangle for the given problem is attached below.

In the triangle the base of the triangle is 2.6 units long.

The sine law for the given triangle can be written as,

$\dfrac{\sin X}{x} =\dfrac{\sin Y}{y} =\dfrac{\sin Z}{z}$

As the value of $y$ side is known and the value of $z$ has to be find. Thus use

$\dfrac{\sin Y}{y} =\dfrac{\sin Z}{z}$

Put the values,

$\dfrac{\sin 51}{2.6} =\dfrac{\sin 76}{z}$

Solve it for the $z$ ,

$z=\dfrac{\sin 76\times 2.6}{\sin 51}\\z=3.2462$

Hence the value of the $z$ is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.

Learn more about the sine law here;

brainly.com/question/2264443

4 0

2 years ago

Enter the symbol (<, >, or =) that correctly completes this comparison.<br> 0.147 0 0.174

prohojiy [21]

Answer:

<

Step-by-step explanation:

.174 is greater than .147

6 0

2 years ago

Solve the equation.<br> -2/3 (x + 3/5) = 1/2<br><br><br><br> x=

Rom4ik [11]

−
2
3
(
x
+
3
5
)
=
1
2
Step 1: Simplify both sides of the equation.
−
2
3
(
x
+
3
5
)
=
1
2
(
−
2
3
)
(
x
)
+
(
−
2
3
)
(
3
5
)
=
1
2
(Distribute)
−
2
3
x
+
−
2
5
=
1
2
Step 2: Add 2/5 to both sides.
−
2
3
x
+
−
2
5
+
2
5
=
1
2
+
2
5
−
2
3
x
=
9
10
Step 3: Multiply both sides by 3/(-2).
(
3
−
2
)
*
(
−
2
3
x
)
=
(
3
−
2
)
*
(
9
10
)
x
=
−
27
20
Answer:
x
=
−
27
20

6 0

2 years ago

Only 15 and 16 are the one I'm confused on

julia-pushkina [17]

F(2)=8 and f(5v)=25v^2+15v-2

5 0

3 years ago

Based on your knowledge of taxes, you estimate that your net pay will be 66% of your gross pay. You think you will need $250 per

Sholpan [36]

The gross pay per year is $\fbox{\bf\$19697.6}$ .

Further explanation:

Given:

The net pay is 66% of the gross pay. The net pay per week is $250.

Calculation:

Consider the gross pay as $x$ and net pay as $y$ .

Since the net pay $y$ is 66% of the gross pay $x$ , it can be written as follows:

$\begin{aligned}\frac{{x\times66}}{{100}}&=y\\x&=\frac{{y\times 100}}{{66}}\\x&=1.5151y\\\end{aligned}$

The net pay per week is given as $250.

Substitute 250 for $y$ in above equation.

$\begin{aligned}x&=1.5151\left( {250}\right)\\&= 378.8\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{week}}\\\end{aligned}$

Since, there exist 52 weeks in a year, the gross pay per year is calculated as follows:

$\begin{aligned}x &= 378.8\left({52} \right)\\&= 19697.6\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{year}}\\\end{aligned}$

Thus, the gross pay per year is $19697.6.

Learn more:

1. Interest rates are expressed as a percentage ofhttps://brainly.com/question/3724002

2. Suppose that this individual now decides to give one-eighth of a percent (0.125 %) of her new net worth to charity. how many dollars are given to charity?brainly.com/question/928382

Answer Details:

Grade: Middle School

Subject: Mathematics

Chapter: Interest

Keywords: Gross pay, net pay, rate, accounts, simple interest, compound interest, percent, dollar, tax, interest rate, net worth, annually, weekly, weeks, $250, total income, charity, compounded.

4 0

3 years ago