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2 years ago

Express on a number line all possible values of x.

Mathematics

1 answer:

mel-nik [20]2 years ago

4 0

Si En el sistema de referencia XOY (1 u = 1km) la trayectoria de una avioneta es rectilínea y pasa por
(3;−1)
B
(
3
;
−
1
)
. Halla la ecuación general de la trayectoria sabiendo que ésta hace un ángulo de inclinación de
37°
37
°

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Triangle J K L is shown. Angle J L K is 105 degrees. The length of J K is 4.7 and the length of J L is 2.7.

cluponka [151]

Answer:

The approximate measure of angle K is 34°

Step-by-step explanation:

In ΔJKL

∠L = 105°

JK = 4.7

JL = 2.7

Sine Rule:

$\frac{SinA}{a} = \frac{SinB}{b}= \frac{SinC}{c}$

So, $\frac{SinL}{JK} = \frac{SinK}{JL}\\\frac{SinL}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105 \times 2.7}{4.7} = SinK\\\frac{(0.9659 \times 2.7)}{4.7} = Sin K\\\frac{2.60793}{4.7} = Sin K\\0.5549 = Sin K\\Sin^{-1}(0.5549)= K\\K = 33.70$

K ≈ 34°

So, Option B is true

Hence The approximate measure of angle K is 34°

5 0

3 years ago

Evaluate this expression. 5^-3

sweet-ann [11.9K]

Answer:

$\Huge \boxed{\frac{1}{125}}$

Step-by-step explanation:

<h2>Order of operations</h2>

PEMDAS

Parenthesis, exponent, multiply, divide, add, and subtract from left to right.

Do exponent.

$\displaystyle \frac{1}{5^3}$

$\displaystyle 5^3=5\times5\times5=125$

$\displaystyle \frac{1}{125}=125$

$\large \boxed{\frac{1}{125}}$ , which is our answer.

Hope this helps!

4 0

3 years ago

The sum of 5 times a number and <br> minus −2, plus 7 times a number

Olenka [21]

Answer:

12x + 2

Step-by-step explanation:

Let the number be represented by x.

Then five times the number = 5*x

Seven times the number = 7*x

Sum of 5 times the number minus -2 = $5*x - (-2)$ = $5x +2$

Adding seven times the number to this expression yields, $5x+2+7x$

$= (5+7)x+2$

$= 12x+2$

So the simplified expression corresponds to 12x + 2.

6 0

3 years ago

2. Which group of numbers is in size order?

agasfer [191]

Answer:

B. 3.09-3.10-3.2-3.5 is the answer

4 0

3 years ago

Which of the following statements accurately describes the result of a decreasing worker-per-beneficiary ratio in the Social Sec

spayn [35]

The best and most correct answer among the choices provided by the question is the first choice "Fewer taxed workers than beneficiaries means that the system is collecting more money for the money being drawn out. This leaves money in the system and secures benefits for future beneficiaries."<span>

Social Security<span> is funded primarily through payroll taxes called Federal Insurance Contributions Act tax (FICA) or Self Employed Contributions Act Tax (SECA).
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!</span>

8 0

4 years ago

Read 2 more answers