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3 years ago

Select the correct answer. Which inequality is true? A. |-5| > |-7| B. |-8| < |-5| C. |9| < |7| D. |-9| > |8|

Mathematics

1 answer:

klemol [59]3 years ago

5 0

Answer: D

Step-by-step explanation: |-9| = 9 and |8| = 8 so 9 is greater than 8

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Ons: Practice

Sedaia [141]

Answer:

$x = 18$

Step-by-step explanation:

Given

$\frac{x}{6} - 7 = -4$

Required

Solve for x

$\frac{x}{6} - 7 = -4$

Add 7 to both sides

$\frac{x}{6} - 7+7 = -4+7$

$\frac{x}{6} = -4+7$

$\frac{x}{6} = 3$

Multiply through by 6

$6 * \frac{x}{6} = 3 * 6$

$x = 3 * 6$

$x = 18$

7 0

3 years ago

The cosine of 23° is equivalent to the sine of what angle

Archy [21]

Answer:

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

(There are more values since we can go around the circle from 67 degrees numerous times.)

Step-by-step explanation:

You can use a co-function identity.

The co-function of sine is cosine just like the co-function of cosine is sine.

Notice that cosine is co-(sine).

Anyways co-functions have this identity:

$\cos(90^\circ-x)=\sin(x)$

$\sin(90^\circ-x)=\cos(x)$

You can prove those drawing a right triangle.

I drew a triangle in my picture just so I can have something to reference proving both of the identities I just wrote:

The sum of the angles is 180.

So 90+x+(missing angle)=180.

Let's solve for the missing angle.

Subtract 90 on both sides:

x+(missing angle)=90

Subtract x on both sides:

(missing angle)=90-x.

So the missing angle has measurement (90-x).

So cos(90-x)=a/c

and sin(x)=a/c.

Since cos(90-x) and sin(x) have the same value of a/c, then one can conclude that cos(90-x)=sin(x).

We can do this also for cos(x) and sin(90-x).

cos(x)=b/c

sin(90-x)=b/c

This means sin(90-x)=cos(x).

So back to the problem:

cos(23)=sin(90-23)

cos(23)=sin(67)

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

6 0

3 years ago

Sketxh the graph of y=(x+3)^3 and state the points where the graph crosses the axes

gtnhenbr [62]

Answer: the graph crosses the x-axis at x = -3

Step-by-step explanation:

y = (x + 3)³

To find where the graph crosses the x-axis, let y = 0 and solve for x:

0 = (x + 3)³

0 = (x + 3) with a multiplicity of 3

-3 = x with a multiplicity of 3.

Since multiplicity is an ODD number, the graph CROSSES the x-axis at x = -3

Graph:

Leading coefficient is POSITIVE so right side goes to +∞
Degree of polynomial is ODD so left side goes to -∞

graph is attached

6 0

3 years ago

The temperature at the south pole was 6 degrees at 8am. At 3 pm it was -18 degrees. By how many degrees did the temperature drop

olga2289 [7]

Answer:

$24\°$

Step-by-step explanation:

we know that

To determine how many degrees drop the temperature, find out the absolute value of subtract the temperature at 8 am from the temperature at 3 pm.

$\left|-18-6\right|=24\°$

7 0

3 years ago

Which is an example of a statistical question?

Vikki [24]

Hey there, Damonealy!

The correct answer should be D since you are talking about multiple amount of data. As you can see, question number 1-3 are talking about the age of a single person but question D is talking about the ages of multiple students which can be used in a statistic.

Thank you for using Brainly.
See you soon!

5 0

3 years ago

Read 2 more answers