All categories

3 years ago

What is the tangent ratio for ∠A?

Mathematics

1 answer:

tiny-mole [99]3 years ago

8 0

for this case we have to define trigonometric relations of rectangular triangles, that the tangent of an angle is given by the leg opposite the angle on the leg adjacent to the angle. So:

$tg (A) = \frac {6} {8} = \frac {3} {4}$

Answer:

$tg (A) = \frac {3} {4}$

You might be interested in

Kylie Matsumoto is a set designer. Her annual salary is $ 45,320. Kylie's semimonthly salary is $ _________.

serg [7]

3776.67 is the answer. Since 45,320 divided by 12 = 3776.67 (rounded to the nearest tenth)

7 0

3 years ago

How many times does 5 go into 709?

Sveta_85 [38]

895 times. division!

5 0

3 years ago

Quinn has 6 bottles of water that each weigh \large \frac{3}{5} pound. What is the total weight of the water bottles?_

Art [367]

Answer:

3.6 pounds

Step-by-step explanation:

If 1 bottle weighs 3/5 pounds

the 6 bottles will weigh 6 x 3/5

= 18/5

ratio method :

1:3/5

6:x

since the ratios are direct we can cross multiply

18/5 = 1x

so the 6 bottles weigh 18/5 pounds or 3.6 pounds

5 0

3 years ago

Read 2 more answers

MATH HELP!!! 100PTS!!!

Lostsunrise [7]

Answer:

$x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}$

Step-by-step explanation:

Given functions:

$p(x)=2x-4$

$r(x)=\dfrac{6x-1}{9x+1}$

Solve for p(x) = r(x):

$\begin{aligned}p(x) & = r(x)\\\implies 2x-4 & = \dfrac{6x-1}{9x+1}\\(2x-4)(9x+1)&=6x-1\\18x^2+2x-36x-4&=6x-1\\18x^2-40x-3&=0\end{aligned}$

As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:

Quadratic Formula

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

Therefore:

$a=18, \quad b=-40, \quad c=-3$

Substitute the values of a, b and c into the quadratic formula and solve for x:

$\begin{aligned}\implies x & =\dfrac{-(-40) \pm \sqrt{(-40)^2-4(18)(-3)} }{2(18)}\\\\& =\dfrac{40 \pm \sqrt{1816}}{36}\\\\& =\dfrac{40 \pm \sqrt{4 \cdot 454}}{36}\\\\& =\dfrac{40 \pm \sqrt{4}\sqrt{454}}{36}\\\\& =\dfrac{40 \pm2\sqrt{454}}{36}\\\\& =\dfrac{20 \pm\sqrt{454}}{18}\end{aligned}$

Therefore, the solutions are:

$x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}$

Learn more about quadratic equations here:

brainly.com/question/27750885

brainly.com/question/27739892

6 0

2 years ago

The amount of gasoline sold each month to customers at Bob's Exxon station in downtown Navasota is a random variable. This rando

swat32

Answer:

The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month

P(X≥ 2800) = P(Z₁≥1.5) = 0.0768

Step-by-step explanation:

Step(i):-

Mean of the Population (μ) = 2500 gallons

Standard deviation of the population (σ) =200 gallons

Let 'X' be a random variable in Normal distribution

Given X = 2800

$Z = \frac{x-mean}{S.D} = \frac{2800-2500}{200} = 1.5$

Step(ii):-

The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month

P(X≥ 2800) = P(Z₁≥1.5)

= 0.5 - A(Z₁)

= 0.5 - A(1.5)

= 0.5 -0.4232 ( from normal table)

= 0.0768

Conclusion:-

The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month

P(X≥ 2800) = P(Z₁≥1.5) = 0.0768

3 0

3 years ago