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3 years ago

Which phrase represents the algebraic expression 5x-9

2 answers:

6 0

the product of five times a number and nine the difference of nine times a number and five the sum of five times a number and five the difference of five times a number and nine

raketka [301]3 years ago

5 0

Answer:

Five times a number" is written as 5x. This is because the number itself is unknown, so we use a variable.

"Difference" means subtraction; thus "The difference of five times a number and 9" would be 5x-9.

Step-by-step explanation:

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A cylinder has a height of 6 millimeters and a radius of 4 millimeters. What is its volume? Use ≈ 3.14 and round your answer t

netineya [11]

Answer:

$V=301.44\ \text{mm}^2$

Step-by-step explanation:

Given that,

Height of the cylinder, h = 6 mm

Radius of the cylinder, r = 4 mm

We need to find the volume of the cylinder. The formula for the radius of the cylinder is given by :

$V=\pi r^2 h$

Putting given values,

$V=3.14\times (4)^2 \times 6\\\\V=301.44\ \text{mm}^2$

So, the volume of the cylinder is $301.44\ \text{mm}^2$ .

4 0

3 years ago

3x + 1 = 7 What is the value of x?

Olin [163]

The value for X is 2

5 0

3 years ago

What is the slope of line a? <br><br>

emmainna [20.7K]

<h3>Answer: -1/4 (choice C)</h3>

========================================================

Explanation:

Start at the point (0,1). This is the y intercept, which is where the graph crosses the y axis.

Then move down 1 and over to the right 4 spaces. We arrive at (4,0) which is the x intercept.

The process of "down 1, over to the right 4" can be thought of like this

rise/run = -1/4

rise = -1

run = 4

A rise of -1 indicates we go down 1 unit

The run of 4 means we move to the right 4 units

So that's why slope = rise/run = -1/4

-------------------------------------------------------

Here's another approach using the slope formula:

m = (y2-y1)/(x2-x1)

m = (0-1)/(4-0)

m = -1/4

I used the two points (0,1) and (4,0) as (x1,y1) and (x2,y2) respectively. This formula basically says "subtract the y coordinates, subtract the x coordinates in the same order, then divide the differences y over x".

-------------------------------------------------------

Side note: The line moving downhill, as we read from left to right, indicates a negative slope.

5 0

2 years ago

Describe the locus in space.

yanalaym [24]

Answer: an endless cylinder with radius 4 mm and centerline

8 0

3 years ago

Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on

Volgvan

Answer:

<em>The height of the bullding is 717 ft</em>

Step-by-step explanation:

<u>Right Triangles</u>

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

$\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}$

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

$\displaystyle \tan 82^\circ=\frac{h}{100}$

Solving for h:

$h = 100\tan 82^\circ$

Computing:

h = 711.5 ft

We must add the height of Ms, M's eyes. The height of the building is

711.5 ft + 5 ft = 716.5 ft

The height of the building is 717 ft

7 0

3 years ago