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4 years ago

According to this diagram what is tan 62

Mathematics

1 answer:

kicyunya [14]4 years ago

4 0

The figure is not attached. So, I have attached it from the link- brainly.com/question/4198293

Answer:

$\tan(62)=1.875$

Step-by-step explanation:

Label the triangle ABC as shown below.

Given:

AB = 8, BC = 15, AC = 17, m∠ABC = 90°, m∠ACB = 28°, m∠BAC = 62°

The tangent of a given angle is given as the ratio of the opposite side and the adjacent side. The opposite side is the side opposite to the angle. The adjacent side is the other leg of the right angled triangle.

Here, the opposite side to angle A is BC and adjacent side is AB.

Therefore, the tan ratio of angle A is given as:

$\tan A=\frac{BC}{AB}\\\tan (62)=\frac{15}{8}=1.875$

Hence, tan 62 = 1.875.

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Values for the area A of the rectangle shown are 30 SA < 60. Write and solve

Maurinko [17]

Answer:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

Step-by-step explanation:

5X + 3

6 0

3 years ago

Which of these systems of linear equations has no solution? 2 x + 8 y = 15. 4 x + 16 y = 30. 2 x minus y = 18. 4 x + 2 y = 38. 4

kvasek [131]

Answer:

The correct answer is:

$4 x -3 y = 16$ and

$8 x -6 y = 34$ are the equations that have no solution.

Step-by-step explanation:

First of all, let us have a look at the rules for a pair of lines, that have solution or no solution.

Let the equations be:

$a_1x+b_1y+c_1=0$ and

$a_2x+b_2y+c_2=0$

1. There exists exactly one solution:

$\dfrac{a_1}{a_2}\neq\dfrac{b_1}{b_2}$

2. There exists infinitely many solutions i.e. lines are identical.

$\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}$

3. There exists No solutions i.e. lines are parallel and will never intersect.

$\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}$

Now, let us have a look at the given pair of lines:

Option a)

$2 x + 8 y = 15\\4 x + 16 y = 30.$

The ratio:

$\dfrac{2}{4}=\dfrac{8}{16}=\dfrac{15}{30} = \dfrac{1}{2}$

Hence, the lines are identical, infinite solutions.

Option b)

$2 x - y = 18\\4 x + 2 y = 38$

The ratio:

$\dfrac{2}{4}\neq \dfrac{-1}{2}$

Hence, exactly one solution.

Option c)

$4 x + 7 y = 17\\8 x -14 y = 36$

The ratio:

$\dfrac{4}{8}\neq \dfrac{-7}{14}\\\dfrac{1}{2}\neq \dfrac{-1}{2}$

Hence, exactly one solution.

Option d)

$4 x - 3 y = 16\\8 x - 6 y = 34.$

The ratio:

$\dfrac{4}{8}= \dfrac{-3}{-6}\neq\dfrac{16}{34}\\\Rightarrow \dfrac{1}{2}= \dfrac{1}{2}\neq\dfrac{8}{17}$

Hence, There is no solution.

The correct answer is:

$4 x -3 y = 16$ and

$8 x -6 y = 34$ are the equations that have no solution.

8 0

3 years ago

Read 2 more answers

Worksheet 1.3

Lena [83]

Answer:

<h2>50h miles</h2>

Step-by-step explanation:

For us to write a math expression for the problem, we will use the formula for calculating speed.

Speed is the change of distance of a body with respect to time.

Mathematically, Speed = Distance/Time

Distance = Speed * Time

If Lumpy drove for h hours at 50 mph, then Lumpy speed = 50mph and time = h hours.

Substituting the given parameters into the formula to get the distance;

Distance = 50mph * h hours

Distance = 50h miles

<em>Hence the math expression that modeled how far Lumpy drive is 50h miles</em>

4 0

4 years ago

The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and th

const2013 [10]

Step by step:

Perimeter = Summation of all sides = AB+BC+CD+DA = 2x+2+x+2x+2+x=(6x+4)

⇒6x+4=154

⇒6x=154−4

⇒ $\frac{150}{6x}$

⇒25=x

The breadth is x=25

The length of the rectangular pool = (2×25+2)=50+2=52m

<em>breadth </em>is 25 and the<em> length </em>is 52

Hope it helps!

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2 years ago

Read 2 more answers

Give a rule of the piecewise-defined function.

nataly862011 [7]

The equation of the piecewise function is $f(x) = \left[\begin{array}{ccc}3&x \le -1\\-1&x > 2\end{array}\right$

<h3>The piecewise function</h3>

On the graph, we have:

y = 3 for all x values not more than -1
y = -1 for all values greater than 2

Hence, the piecewise function is:

$f(x) = \left[\begin{array}{ccc}3&x \le -1\\-1&x > 2\end{array}\right$

<h3>The domain of the function</h3>

This is the set of input values

In (a), we have:

x ≤ -1 and x > 2

Hence, the domain is (∞, 3] u (2, ∞)

<h3>The range of the function</h3>

This is the set of output values

In (a), we have:

f(x) = 3 and f(x) -1

Hence, the range is [3] u (-1)

Read more about piecewise function at:

brainly.com/question/18859540

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2 years ago