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Arturiano [62]
4 years ago
9

What is the Greatest common divisor of 378 and 420?

Mathematics
1 answer:
atroni [7]4 years ago
3 0

Answer:

42

Step-by-step explanation:

When calculating the greatest common divisor, you must look for the smallest divisors that can divide the no. s given simultaneously.

So in this case the smallest divisor will be 2.

<u>37</u><u>8</u> =189. <u>420</u> =210

2. 2

The next divisor that 189 and 210 can both be divided with is 3

<u>189</u> =63. <u>210</u> =70

3. 3

The third smallest divisor that can 63 and 70 can be divided with is 7

<u>63</u> =9. <u>70</u> =10

7. 7

9 and 10 have no common divisors that can divide them fully without leaving a remainder

So to get the greatest common divisor, multiply all the divisors you have used

In this case we've used 2,3,7

2x3x7= 42

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A kitchen counter will be designed according to the measurements of the diagram in the image. What is the area of the surface of
Semmy [17]

Answer:

B:31.5

Step-by-step explanation:

Find areas of both rectangles by multiplying the 2 given values (12 & 15)

Take the sides parallel to the triangles non-hypotenuse sides (3 & 3)

Take both values and add them over 2

Receive the answer 4.5

Add that to the rectangle values for an answer of 31.5

Hope this helps

Have a good day

7 0
3 years ago
Read 2 more answers
A car dealership uses the linear model y = -1100x + 25000 to
Amiraneli [1.4K]

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:

−

1000

-1000

y-intercept:

(

0

,

25000

)

(0,25000)

x

y

0

25000

25

0

xy025000250

Step-by-step explanation:

a

(づ ̄ ³ ̄)づ

8 0
3 years ago
Let g(x) be the reflection of f(x) in the x-axis. What is the function rule for g(x)? Let g(x) be the reflection of f(x) = 3x +
goblinko [34]
Reflection rule in the x-axis:
g(x) = - f(x)

f(x) = 3x+12
g(x) = - f(x) = -3x-12

The correct choice is option (C)
8 0
3 years ago
Halla el área de un triángulo equilátero de 54 cm de perímetros
adoni [48]

Answer:

Area of equilateral triangle = 81√3 cm²

Step-by-step explanation:

Given:

Perimeter of an equilateral triangle = 54 cm

Find:

Area of equilateral triangle

Computation:

Perimeter of an equilateral triangle = 3 x Side

54 = 3 x Side

Side of equilateral triangle = 54 / 3

Side of equilateral triangle = 18 cm

Area of equilateral triangle = [√3/4]side²

Area of equilateral triangle = [√3/4][18]²

Area of equilateral triangle = [√3/4][324]

Area of equilateral triangle = [√3][81]

Area of equilateral triangle = 81√3 cm²

5 0
3 years ago
Help? I'd Appreciate it!
kondor19780726 [428]

<u>Answer</u>

y = (1/2)x - 1


<u>Explanation</u>

The first step is to get the gradient of the line.

The two points in the line are; (2,0) and (-2, -2).

Gradient = (-2 - 0)/(-2, - 2)

                = -2/-4

                 = 1/2

To get the function we use one of the point (2,0) and a general point (x,y).

1/2 = (y - 0)/(x - 2)

1/2 = y/(x - 2)

(x - 2) = 2y

2y = x - 2

y = (1/2)x - 1

8 0
3 years ago
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