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2 years ago

May you help me and explain to me please.

Mathematics

2 answers:

Rudiy272 years ago

3 0

Answer:

Step-by-step explanation:

TAN (R) = SR / ST

TAN (R) = 2/ 2sqr3

CONVERT OF TAN ^-1 (2 / 2sqr3) = 30

Anarel [89]2 years ago

3 0

Idk how to explain but the answer is 30

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Are standardized scores and z-scores the same thing?.

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3 years ago

Y=-x^2+6x-4 Find the Axis of Symmetry and the Vertex, Also solve the whole equation.

Inessa [10]

Answer:

1. Axis of symmetry: x = 3

2. Vertex: (3,5)

3. Solution of the equation:

x-intercepts:

$(3-\sqrt{5},0) \\\\(3+\sqrt{5},0)$

y-intercept: (0, -4)

Explanation:

1. Equation:

$y=-x^2+6x-4$

2. Axis of symmetry:

That is the equation of a parabola, whose standard form is:

$y=ax^2+bx+c$

Where:

$a=-1;b=6;c=-4$

The axis of symmetry is the vertical line with equation:

$x=-b/2a$

Substitute $a=-1,\text{ and }b=6$

$x=-6/[(2)(-1)]=-6/(-2)=3$

Thus, the axis of symmetry is:

$x=3$

3. Vertex

The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.

To find the y-xoordinate, substitute this value of x into the equation for y:

$y=-x^2+6x-4\\\\y=-(3)^2+6(3)-4=-9+18-4=5$

Therefore, the vertex is (3, 5)

4. Find the x-intercepts

The x-intercepts are the roots of the equation, which are the points wher y = 0.

$y=-x^2+6x-4=0$

Use the quadratic equation:

$x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} \\\\x=\frac{-6\pm\sqrt{(-6)^2-4(-1)(-4)} }{2(-1)}\\\\x_1=3-\sqrt{5} \\\\x_2=3+\sqrt{5}$

5. Find the y-intercept

The y-intercet is the value of y when x=0:

$y=-x^2+6x-4\\\\y=-(0)^2+6(0)-4=-4$

7 0

3 years ago

Which statements about the value of the digits in the number 6,666,666 are true?

tatiyna

B. The digit in the hundred thousands place is 1/10 the value of the digit in the millions place.

C. The digit in the ten thousands place is 10 times the value of the digit in the thousands place.

Hope this helps !

Photon

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2 years ago

WILL MARK YOU BRAINLESTA games shop sells marbles

Otrada [13]

The answer is

The diameter is 4 (2) = 8 and height is 10(2) = 20

For the sides, use area of a cylinder = ph

p = 8 pi cm, ht = 20 cm. A = 160 pi sq cm

Base are 2 circles, each with radius 4 pi

Area = pi r^2 = 16 pi (times 2 circles) = 32 pi sq cm

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3 years ago