What is the domain of the graph ?

If hair grows at a rate of approximately 0.44 mm per day, how many

ale4655 [162]

Answer:

91

Step-by-step explanation:

40/.44

8 0

3 years ago

Read 2 more answers

The table of values shows the height of a car of a Ferris wheel as it travels in a circular motion. Which statements are true? S

Mashutka [201]

Answer:

The true statements are;

The car makes one complete revolution in 12 s

The radius of the Ferris wheel is 25 yd

Step-by-step explanation:

The values of the table of the given Ferris wheel are presented here as follows;

$\begin{array}{cc}Time \ (seconds) &Height \ (yards)\\0&30\\3&55\\6&30\\9&5\\12&30\\15&55\\18&30\\21&5\\24&30\end{array}$

From the table, we have;

The time it takes the Ferris wheel to complete a motion round from a height of 30 yards and back to 30 yards which is one revolution = 12 s

∴ The time it takes the car to complete one revolution = 12 s

The maximum height of the Ferris wheel = 55 yards

The lowest height of the Ferris wheel = 5 yards

The time at which the Ferris wheel is at the lowest height = 9 s, and 21 s

If the car is loaded at 0 s, then people are loaded above the lowest height of the Ferris wheel

The diameter of the Ferris wheel = The maximum height of the Ferris wheel - The minimum height of the Ferris wheel

∴ The diameter of the Ferris wheel = 55 yards - 5 yards = 50 yards

The radius of the Ferris wheel, R = 1/2 × The diameter of the Ferris wheel

∴ The radius of the Ferris wheel, R = 1/2 × 50 yards = 25 yards

Therefore, the true statements are;

The car makes one complete revolution in 12 s

The radius of the Ferris wheel is 25 yd.

5 0

3 years ago

The vertices of quadrilateral MNPQ are M(−3,−2),N(−1,4),P(2,4), and Q(4,−2). Translate quadrilateral MNPQ using the vector ⟨3,−4

muminat

Answer:

see explanation

Step-by-step explanation:

A translation using the vector < 3, - 4 > , means

Add 3 to the x- coordinate and subtract 4 from the y- coordinate, so

M (- 3, - 2 ) → M' (- 3 + 3, - 2 - 4 ) → M' (0, - 6 )

N (- 1, 4 ) → N' (- 1 + 3, 4 - 4 ) → N' (2, 0 )

P (2, 4 ) → P' (2 + 3, 4 - 4 ) → P' (5, 0 )

Q (4, - 2 ) → Q' (4 + 3, - 2 - 4 ) → (7, - 6 )

4 0

3 years ago

The triangles are similar. What is the value of x? Enter your answer in the box. x = two right triangles. the larger triangle ha

grandymaker [24]

<h2>Answers:</h2>

These problems can be solved by the Thales’s Theorem, which states:

Two triangles are similar when they have equal angles and proportional sides

In addition, if two triangles are similar, their angles are similar as well. This means that the relation between two sides of the big triangle is equal to the relation between two sides of the small triangle, as follows:

$\frac{B}{A}=\frac{b}{a}$

Knowing this, lets’s begin with the answers:

1. For this first problem, see the first figure attached. There are shown the two triangles, and we are told both are similar, this means (according the prior explanation above) that we can use the Thale’s Theorem to find $x$ .

Therefore, we can establish a relation between two sides of the big triangle which is equal to the relation between two sides of the small triangle; in this case let’s use $B$ and $C$ for the first triangle and $b$ and $c$ for the second:

$\frac{C}{B}=\frac{c}{b}$

$\frac{6x+28}{96}=\frac{25}{24}$

Now we find $x$ :

$6x+28=\frac{(25)(96)}{24}$

$6x+28=100$

$6x=100-28$

$x=\frac{72}{6}$

$x=12$

Finally, the value of $x$ is 12 units.

2. For this problem, see the second figure attached. In order to find the values of the segments BE and EC, we will use two sides of each triangle (ABE and DCE) according to the Thale’s Theorem:

For the segment BE:

$\frac{BE}{10}=\frac{x+3}{4}$