Write this number in standard notation (7*10)+(7*.1)=

Find the measure of angle x in the figure below: A triangle is shown. At the top vertex of the triangle is a horizontal line ali

VLD [36.1K]

Answer:

$x=35^\circ$

Step-by-step explanation:

From the diagram which I have drawn and attached below:

$56^\circ+y+51^\circ=180^\circ$ (Sum of Angles on a Straight Line)\\y=180^\circ-(56^\circ+51^\circ)\\y=73^\circ$

Next, in the triangle, the sum of the three interior angles:

$y+x+72^\circ=180^\circ\\$Since y=73^\circ\\73^\circ+x+72^\circ=180^\circ\\x=180^\circ-(73^\circ+72^\circ)\\x=35^\circ$

The value of angle x is 35 degrees.

7 0

2 years ago

Person 1 writes internal operating procedures 3 times faster than Person 2. Most of the procedures took 30 minutes each to creat

ad-work [718]

Person 1 takes 3 hour 10 minutes to complete 9 procedures

Solution:

From given question,

Person 2 takes 30 minutes per procedure

Person 1 writes internal operating procedures 3 times faster than Person 2

So we get, Person 1 takes 3 times faster than Person 2

Person 1 takes 10 minutes per procedure

But two of the procedures for Person 1 took an hour each

So person 1 takes 60 minutes each for two of procedures ( since 1 hour = 60 minutes )

Calculate how long it took Person 1 to complete 9 procedures:

So for first 7 procedures person 1 would take 10 minutes per procedure and for last two procedures person 1 would take 60 minutes per procedure

$time $=7$ procedures $\times \frac{10 \text { minutes }}{1 \text { procedure }}+2$ procedure $\times \frac{60 \text { minutes }}{1 \text { procedure }}$$

$time=70 minutes +120minutes\\\\time=190minutes$

We know that,

1 hour = 60 minutes

Therefore,

190 minutes = 60 minutes + 60 minutes + 60 minutes + 10 minutes

190 minutes = 1 hour + 1 hour + 1 hour + 10 minutes = 3 hour 10 minutes

Therefore Person 1 takes 3 hour 10 minutes to complete 9 procedures

7 0

2 years ago

The chart shows the low temperature each day in International Falls, Minnesota, during the month of February 2009. What was the

Nastasia [14]

Answer:

The median is -8°F

Step-by-step explanation:

Attached Table.

The median is the "middle" value from all the numbers arranged from least to greatest.

Looking at the table, we need to arrange the numbers (first week numbers) from least to greatest.

-31, -29, -9, -8, 3, 4, 6

There are 7 numbers and the middle number is the 4th one, which is -8

The median is -8°F

6 0

2 years ago

Read 2 more answers

Let the function f(x) have the form f(x) = Acos(x-C). To produce a graph that

Gala2k [10]

Answer:

A has to be 2

Step-by-step explanation:

In the expression $f(x)=A*cos(x-C)$ , the multiplicative factor A represents what is called the "amplitude of the wave-shaped function that you obtain as the graph. Such amplitude is understood as half of the crest-to-through distance of the wavy curve.

From the drawing, the crest is at y=2 and the through at y=-2 (a distance of 4 units) therefore the value of A should be half of that distance: 4/2 = 2

6 0

3 years ago

Read 2 more answers

For example, Let's say I am graphing a proportional relationship even If it doesn't go through origin and it is an equivalent ra

Lostsunrise [7]

A proportional relationship is described by the equation

... y = k·x

The point (x, y) = (0, 0) is always a solution to this equation.

_____

In short, if the relationship is proportional, its graph will go through the origin. If the graph does not go through the origin, the relationship is not proportional.

___

Note that this is true if the domain includes the origin. You can have y = kx for x > 10 and the graph will not go through the origin because the function is not defined there.

6 0

2 years ago