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3 years ago

Find the measure of angle y. Round your answer to the nearest hundredth. (Numerical answer only)

Mathematics

2 answers:

Klio2033 [76]3 years ago

6 0

Answer:

11.53°

Step-by-step explanation:

We have a right triangle, so we will calculate the sine of y, which is equal to the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).

sin y = 4/20 = 1/5

To find y, we apply the inverse function of the sine.

sin y = 1/5

y = arc sin 1/5 = 11.53°

tino4ka555 [31]3 years ago

3 0

Check the picture below.

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Use the quadratic formula to solve for the roots of the following equation. x 2 – 4x + 13 = 0

Artyom0805 [142]

Quadratic Formula: $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , with a = x^2 coefficient, b = x coefficient, and c = constant

With our equation, plug in the values:

$x=\frac{4\pm \sqrt{(-4)^2-4*1*13}}{2*1}$

Next, solve the exponent and multiplications:

$x=\frac{4\pm \sqrt{16-52}}{2}$

Next, solve the subtraction:

$x=\frac{4\pm \sqrt{-36}}{2}$

Next, factor out i (i = √-1):

$x=\frac{4\pm \sqrt{36}i}{2}$

Next, solve the square root:

$x=\frac{4\pm 6i}{2}$

Lastly, divide and your answer is:

$x=2\pm 3i$

5 0

3 years ago

Read 2 more answers

At which value will the graph of y=tanx have a zero? Please explain the correct answer!

Rina8888 [55]

Answer: None of the above are correct.

Step-by-step explanation:

Given function: $y=\tan x$

We know that the value of tan x =0 at x=0.

Also, $At\ x=\frac{\pi}{3},\ \tan\frac{\pi}{3}=\sqrt{3}$

$At\ x=\frac{\pi}{2},\ \tan\frac{\pi}{2}=\infty$

$At\ x=\frac{\pi}{3},\ \tan\frac{\pi}{4}=1$

Hence, the only option is correct is "None of the above are correct".

4 0

3 years ago

Complete the point-slope equation of the line through ( − 5 , 4 ) (−5,4)left parenthesis, minus, 5, comma, 4, right parenthesis

Tanzania [10]

The point slope form of equation through given points is:

$y-6=\frac{1}{3}(x-1)$

Step-by-step explanation:

Given points are:

(x1,y1) = (-5,4)

(x2,y2) = ((1,6)

First of all we have to find the slope of line

So,

$m=\frac{y_2-y_1}{x_2-x_1}\\=\frac{6-4}{1+5}\\=\frac{2}{6}\\=\frac{1}{3}$

Point-slope form is given by:

$y-y_1=m(x-x_1)$

Putting m=1/3

$y-y_1=\frac{1}{3}(x-x_1)$

Putting (1,6) in the equation

$y-6=\frac{1}{3}(x-1)$

The point slope form of equation through given points is:

$y-6=\frac{1}{3}(x-1)$

Keywords: Point slope form

Learn more about point slope form at:

#LearnwithBrainly

3 0

3 years ago

Please help fast

Vladimir79 [104]

Answer:

B: II, IV, I, III

Step-by-step explanation:

We believe the proof statement — reason pairs need to be ordered as shown below

Point F is a midpoint of Line segment AB Point E is a midpoint of Line segment AC — given

Draw Line segment BE Draw Line segment FC — by Construction

Point G is the point of intersection between Line segment BE and Line segment FC — Intersecting Lines Postulate

Draw Line segment AG — by Construction

Point D is the point of intersection between Line segment AG and Line segment BC — Intersecting Lines Postulate

Point H lies on Line segment AG such that Line segment AG ≅ Line segment GH — by Construction

II Line segment FG is parallel to line segment BH and Line segment GE is parallel to line segment HC — Midsegment Theorem

IV Line segment GC is parallel to line segment BH and Line segment BG is parallel to line segment HC — Substitution

I BGCH is a parallelogram — Properties of a Parallelogram (opposite sides are parallel)

III Line segment BD ≅ Line segment DC — Properties of a Parallelogram (diagonals bisect each other)

Line segment AD is a median Definition of a Median

3 0

3 years ago

Amiah has 5 pounds of slime for her party bags each bag needs 1/6 of a pound. How many party bags can Amiah make

Fiesta28 [93]

Answer:

Step-by-step explanation:

if each bag needs 1/6 and their is 5 pounds then you keep going until you reach 5.

6 0

3 years ago