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3 years ago

Which statement is always true?

Mathematics

1 answer:

Ugo [173]3 years ago

8 0

The product of two rational numbers is rational is the correct answer

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Find the volume of a right circular cone that has a height of 17.8 ft and a base with a radius of 17.8 ft. Round your answer to

Alona [7]

Answer:

5905.9 ft

Step-by-step explanation:

5 0

3 years ago

Find the fifth term of (2x + y)10.

kkurt [141]

Im guessing the first answer

5 0

4 years ago

Given the quadratic equation <img src="https://tex.z-dn.net/?f=y%20%3D%202%28x%20-1%29%5E%7B2%7D%20%2B%208" id="TexFormula1" tit

Sunny_sXe [5.5K]

Answer:

Part 1) "a" value is $2$

Part 2) The vertex is the point $(1,8)$

Part 3) The equation of the axis of symmetry is $x=1$

Part 4) The vertex is a minimum

Part 5) The quadratic equation in standard form is $y=2x^{2}-4x+10$

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

if a > 0 then the parabola open upward (vertex is a minimum)

if a < 0 then the parabola open downward (vertex is a maximum)

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

$x=h$

In this problem we have

$y=2(x-1)^{2}+8$ -----> this is the equation in vertex form of a vertical parabola

The value of $a=2$

a>0 then the parabola open upward (vertex is a minimum)

The vertex is the point $(1,8)$

$(h,k)=(1,8)$

The equation of the axis of symmetry is $x=1$

The equation of a vertical parabola in standard form is equal to

$y=ax^{2}+bx+c$

Convert vertex form in standard form

$y=2(x-1)^{2}+8$

$y=2(x^{2}-2x+1)+8$

$y=2x^{2}-4x+2+8$

$y=2x^{2}-4x+10$

see the attached figure to better understand the problem

7 0

3 years ago

A board game has the spinner shown at the right. On each turn, a player

dlinn [17]

Answer:

Try B Or C

Step-by-step explanation:

8 0

3 years ago

Select the correct answer from the drop down menu. with references to the figure, sin x =

Lubov Fominskaja [6]

Answer:

.894

Step-by-step explanation:

First thing to do is to solve for the height of the triangle, BD. That's easy. We have the length of the hypotenuse and the base, so Pythagorean's Theorem gives us that the height is 8.003255588 which rounds nicely to 8. Now you have to call on the fond memories you have of the geometric mean in right triangles to solve the rest. For the sin of x you need the hypotenuse of that smaller right triangle on the left, side AB. First let's use geometric mean to find AD. The formula for that, now that we know the height, is

$BD^2=(AD)(DC)$

Filling that in with numbers we have

$8^2=(AD)16$ and

64 = 16(AD). Solve for AD to get that AD has a length of 4. Now we know two of the three sides in that smaller triangle on the left and can solve for the hypotenuse.

$8^2+4^2=c^2$ and

$64+16=c^2$ so

c=√80 which simplifies to 4√5. That means that the sin ratio for x is

$\frac{8}{4\sqrt{5} }$

which divides out to .894

6 0

4 years ago