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Alinara [238K]
3 years ago
11

What are the factors of 36 and 90?

Mathematics
2 answers:
Aleksandr [31]3 years ago
5 0
<span>The factors of 36 are 36, 18, 12, 9, 6, 4, 3, 2, 1.
<span>The factors of 90 are 90, 45, 30, 18, 15, 10, 9, 6, 5, 3, 2, 1.</span></span>
Agata [3.3K]3 years ago
4 0
The greatest common factor is 18

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Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha
Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

a = 20 --- tree distance from north gate

b =14 --- movement from south gate

c = 1775 --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

\triangle ADE \sim \triangle ACB --- similar triangles

So, we have the following equivalent ratios

AE:DE = AB:CB

Where:

AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775

Substitute these in the above equation

20:x/2 = 20 + x + 14: 1775

20:x/2 = x + 34: 1775

Express as fraction

\frac{20}{x/2} = \frac{x + 34}{1775}

\frac{40}{x} = \frac{x + 34}{1775}

Cross multiply

x *(x + 34) = 1775 * 40

Open bracket

x^2 + 34x = 71000

Rewrite as:

x^2 + 34x - 71000 = 0

Expand

x^2 + 284x -250x - 71000 = 0

Factorize

x(x + 284) -250(x + 284)= 0

Factor out x + 284

(x - 250)(x + 284)= 0

Split

x - 250 = 0 \ or\ x + 284= 0

Solve for x

x = 250 \ or\ x =- 284

x can't be negative;

So:

x = 250

6 0
3 years ago
6.1 Practice Assignment<br> Find the measure of angle 1?<br> pls help
Svetlanka [38]

Answer:

79 degrees

Step-by-step explanation:

First, you want to find the interor angles.

Since there are 180 degrees in a triangle...180-(27+52)=101 degrees

And the bottom line is a straight line so it's equal to 180 degrees as well.

180-101=79 degrees

7 0
3 years ago
Write the equation of the parabola in vertex form.<br><br><br>Vertex: (−4,6); Point: (−2,−2)
gtnhenbr [62]

Answer:

y = - 2(x + 4)² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 4, 6 ) , thus

y = a(x - (- 4) )² + 6 , that is

y = a(x + 4)² + 6

To find a substitute (- 2, - 2) into the equation

- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )

- 8 = a(2)² = 4a ( divide both sides by 4 )

- 2 = a , thus

y = - 2(x + 4)² + 6 ← equation in vertex form

5 0
3 years ago
DUE TODAY!
Leokris [45]

<em>Independent variables are variables of a quantity that are not affected by any conditions. </em>

<em>Dependent variables are variables  of a quantity that change if conditions relative to that variable changes.</em>

For example, we generally we take x as independent variable by x variable and dependent variable by y variable.

To find the rate of change we get two values of independent variable (x's) and two values of dependent variables (y's) to get two coordinates in form of

(x,1,y1) and (x2,y2).

<h3>And we can find the rate of change by applying slope formula</h3>

m= \frac{y_2-y_1}{x_2-x_1}.

3 0
3 years ago
Lin’s family has completed 30% of a trip. They have traveled 60 miles. How far is the trip?
True [87]

Answer:

50 miles

Step-by-step explanation:

Please Brainiest It will help me get to my quest!!??!?!

3 0
3 years ago
Read 2 more answers
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