1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stepan [7]
3 years ago
13

The product is 180. one factor is a multiple of 10

Mathematics
2 answers:
AfilCa [17]3 years ago
7 0
To figure this out you would have to divide 180 by 10(which equals 18))
White raven [17]3 years ago
7 0
The factors of 180:
<span>Answer : 1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180,</span>
You might be interested in
Determine two pairs of polar coordinates for the point (5, 5) with 0° ≤ θ &lt; 360°.
inna [77]

Answer:

First part

The answer is (5 square root 2, 45°), (-5 square root 2, 225°) ⇒ answer (d)

Second part

The equation in standard form for the hyperbola is y²/81 - x²/19 = 1 ⇒ answer(b)

Step-by-step explanation:

First part:

* Lets study the Polar form and the Cartesian form

- The important difference between Cartesian coordinates and

  polar coordinates:

# In Cartesian coordinates there is exactly one set of coordinates

  for any given point.

# In polar coordinates there is an infinite number of coordinates

   for a given point. For instance, the following four points are all

   coordinates for the same point.

# In the polar the coordinates the origin is called the pole, and

  the x axis is called the polar axis.

# The angle measurement θ can be expressed in radians

   or degrees.

- To convert from Cartesian Coordinates (x , y) to

  Polar Coordinates (r , θ)

# r = ± √(x² + y²)

# θ = tan^-1 (y / x)

* Lets solve the problem

- The point in the Cartesian coordinates is (5 , 5)

∵ x = 5 and y = 5

∴ r = ± √(5² + 5²) = ± √50 = ± 5√2

∴ tanФ = (5/5) = 1

∵ tanФ is positive

∴ Angle Ф could be in the first or third quadrant

∵ Ф = tan^-1 (1) = 45°

∴ Ф in the first quadrant is 45°

∴ Ф in the third quadrant is 180 + 45 = 225°

* The answer is (5√2 , 45°) , (-5√2 , 225°)

Second part:

* Lets study the standard form of the hyperbola equation

- The standard form of the equation of a hyperbola with  

  center (0 , 0) and transverse axis parallel to the y-axis is

  y²/a² - x²/b² = 1, where

• the length of the transverse axis is 2a

• the coordinates of the vertices are (0 , ±a)

• the length of the conjugate axis is 2b

• the coordinates of the co-vertices are (±b , 0)

•      the coordinates of the foci are (0 , ± c),  

• the distance between the foci is 2c, where c² = a² + b²

* Lets solve our problem

∵ The vertices are (0 , 9) and (0 , -9)

∴ a = ± 9 ⇒ a² = 81

∵ The foci at (0 , 10) , (0 , -10)

∴ c = ± 10

∵ c² = a² + b²

∴ (10)² = (9)² + b² ⇒ 100 = 81 + b² ⇒ subtract 81 from both sides

∴ b² = 19

∵ The equation is  y²/a² - x²/b² = 1

∴  y²/81 - x²/19 = 1

* The equation in standard form for the hyperbola is y²/81 - x²/19 = 1

3 0
3 years ago
Please help my son asked me for this and I don't understand it.
Tasya [4]

Answer:

y = 2x + 3

Step-by-step explanation:

In the slope-intercept form of the equation of a line,

y = mx + b,

m = slope, and b = y-intercept.

Let's look at Adriana's equation and understand the parts:

y = 2x + 4

y = mx + b

m = slope = 2; b = y-intercept = 4

Now let's look at the description of Henry's equation.

He has the same slope as Adriana, so for Henry, m = 2 also.

His y-intercept is 1 less than Adriana's, so it is 1 less than 4. Henry's y-intercept is 3.

Now that we know that for Henry, m = 2, and b = 3, we can write his equation.

y = mx + b

y = 2x + 3

Answer: y = 2x + 3

7 0
2 years ago
Read 2 more answers
Find the area of the regular polygon. Round to the nearest tenth.
mojhsa [17]

Given:

Side length = 12 in

To find:

The area of the regular polygon.

Solution:

Number of sides (n) = 6

Let us find the apothem using formula:

$a=\frac{s}{2 \tan \left(\frac{180^\circ}{n}\right)}

where s is side length and n is number of sides.

$a=\frac{12}{2 \tan \left(\frac{180^\circ}{6}\right)}

$a=\frac{6}{ \tan (30^\circ)}

$a=\frac{6}{ \frac{1}{\sqrt{3} }}

$a=6\sqrt{3}

Area of the regular polygon:

$A=\frac{1}{2}(\text { Perimeter })(\text { apothem })$

$A=\frac{1}{2}(6 \times 12)(6\sqrt{3} )

$A=\frac{1}{2}(72)(6\sqrt{3} )

A=216 \sqrt{3}

A=374.1 in²

The area of the regular polygon is 374.1 in².

4 0
3 years ago
A rectangular prism has a length of 412 millimeters, a width of 412 millimeters, and a height of 6 millimeters. Sally has a stor
Dominik [7]
Multiply the length*width*height to get the volume of the prism then, take out the difference between the volumes
Volume of the prism= 1018464
Then just subtract
0 0
3 years ago
Georgia passes out cookies to 28 friends. if each friend gets 5 cookies, how many cookies did Georgia hand out? Make an equation
Fudgin [204]
The equation is 28/5. George had 6 cookies left over.(estimate.) hope that helped
7 0
3 years ago
Read 2 more answers
Other questions:
  • Which answers describes the shape below?
    10·2 answers
  • TRIPLE POINTS!!!! DUE TODAY!!!!
    11·1 answer
  • A floor plan has a scale of 1/2 inch represents 3 ft what is area 6 in by 4 in​
    11·1 answer
  • Pls answer this with an explanation if you can pg4 pt 2
    9·1 answer
  • Combine like terms to simplify the expression below 5y+8x-y+12x
    8·1 answer
  • What is 0.0867 rounded to the nearest thousandth?
    12·1 answer
  • Emma has 16 crackers she eats some could she still have 16 left?
    10·2 answers
  • A wedding planner uses 72 ivy stems for 18 centerpieces. When she arrives at the venue, she realizes she will only need 16 cente
    5·2 answers
  • In the figure. What is the value of x? Also it cropped out the last answer choice which is 90.
    6·1 answer
  • What is the volume of this figure in cubic inches? <br> a. 32<br> b. 256<br> c. 416 <br> d. 7.680
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!