Simplify (2.1m - 5.2) + (3.7m

The solid graph is a translation of RootIndex 3 StartRoot x EndRoot. On a coordinate plane, 2 cube root functions are shown. The

serious [3.7K]

Answer: 2 units up.

Step-by-step explanation:

If you take a look at the graph, it shows that it is 2 units up from where it initially started, therefore it is moved 2 units up. It says the SOLID graph is the translation, therefore it would be moving 2 units up.

6 0

2 years ago

Read 2 more answers

A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the po

nika2105 [10]

Answer:

20.78feet

Step-by-step explanation:

The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.

tan= opposite side / adjacent side

Let height of the pole =h

Tan(30)= h/36

But tan 30degree= 1/√3

h= 36 × 1/√3

h= 20.78feet

Therefore, the height of the pole= 20.78feet

CHECK THE ATTACHMENT FOR DETAILED FIGURE

7 0

2 years ago

Read 2 more answers

Which geometric solids would model the tent? O Cone and sphere Cylinder and cone O Pyramid and rectangular prism Triangular pris

joja [24]

Answer:

Triangular prism and rectangular prism

Step-by-step explanation:

shapes

7 0

2 years ago

The product of a binomial and a trinomial is x 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product a

valkas [14]

Answer:

$x^3+3x^2+5x+2$

Step-by-step explanation:

The product of a binomial and a trinomial is

$x^3+3x^2-x+2 \times 2 +6x-2$

we have to simplify that

$x^3+3x^2-x+4+6x-2$

bringing the like terms together we get

$x^3+3x^2-x+6x+4-2$

$-x+6x = 5x$

$-2+4 = 2$

hence our expression becomes

$x^3+3x^2-x+6x+4-2=x^3+3x^2+5x+2$

5 0

2 years ago

Read 2 more answers

Regular hexagon ABCDEF has a perimeter of 36. O is the center of the hexagon and of circle O. Circles A, B, C, D, E, and F have

morpeh [17]

Answer:

E. (54\sqrt{3}-27\pi\)

Step-by-step explanation:

I draw the figure described by the statement down there so you can see easily how to solve it.

Notice 3 things:

- The length of one side of the hexagon is simply 36 divided by 6. = 6 This is beacause, by nature, every single side of the hexagon has the same length.

- The radius of each circle is half the length of one side of the hexagon. This would mean that the radius of each circle is 3.

- The outer circles have 120°/360° of its area enclose. We get this value because by definition, the hexagon can be divided into 6 regular triangles, each one with every angle equal to 60°. The size of the internal angles of the hexagon will be twice this value.

So, in summary, The area enclosed by the circles is expressed like this:

Acircles = 6 * $\frac{120}{360}$ * π * (r)² + π*r² = 3 * π * r² = 27 π

Now all we need is the area of the regular hexagon, which is simply:

Ahexagon = $\frac{1}{2}$ * p * a

Where p is the perimeter, given by the problem, and a is its apothem, the distance between the center of the hexagon and the middle of one of its sides, that is found by multiplying the length of a side of the hexagon times $\frac{\sqrt{3}}{2}$ .

Ahexagon = $\frac{1}{2}$ * 36 * 6 * $\frac{\sqrt{3}}{2}$ = 54 $\sqrt{3}$ .

Then, the area of the shaded area is equal to:

Ashaded = Ahexagon - Acircles = 54 $\sqrt{3}$ - 27π

4 0

2 years ago

Simplify (2.1m - 5.2) + (3.7m - 6.4)​

Simplify (2.1m - 5.2) + (3.7m - 6.4)