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3 years ago

Find the smallest positive integer that has a remainder of 2 when divided by 4 and remainder of 3 when divided

Mathematics

1 answer:

mestny [16]3 years ago

4 0

Answer:

Step-by-step explanation:

Hello

The number is more by three than a multiple of of 5 (i.e 5x +3) and more than 2 than a multiple of 4 (ie 4y+2(

Now 5x+3=4y+2

ie 5x +1 =4y

we need to give the lowest pair of values to x and y such that the last equality is satisfied.

By trial, x = 3 and y = 4

thus the number is 5x+3 =5(3)+3 =18=4y+2 =4(4)+2=18

I hope it has helped you.

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The vertices of a right triangle are (0, 0), (1, 0), and (0, 1).

Alchen [17]

Answer:

(3,3)

Step-by-step explanation:

Given

$Vertices: (0,0)\ (1,0)\ (0,1)$

$Scale\ Factor = 3$

Required

Determine which can't be any of the new vertices

First, we need to determine the new vertices:

$New\ Vertex = Scale\ Factor * Old\ Vertex$

For (0,0):

$New\ Vertex = 3 * (0,0)$

$New\ Vertex = (3 * 0,3 * 0)$

$New\ Vertex = (0,0)$

For (1,0):

$New\ Vertex = 3 * (1,0)$

$New\ Vertex = (3 * 1,3 * 0)$

$New\ Vertex = (3,0)$

For (0,1):

$New\ Vertex = 3 * (0,1)$

$New\ Vertex = (3 * 0,3 * 1)$

$New\ Vertex = (0,3)$

Comparing the calculated new vertices to the list of given options; (3,3) can't be any of the new vertices of the new triangle

5 0

3 years ago

Adrian and his children went into a restaurant where they sell hotdogs for $3 each

prohojiy [21]

Answer: 16x + 4y= 80

16 (3) + 4 (8) = 80

5 0

3 years ago

How do you find the surface area

olya-2409 [2.1K]

The formula for the surface area of a triangular prism is SA = bh + (s1 + s2 + s3)H. In this formula, "b" is the triangle base, "h" is the triangle height, "s1," "s2" and "s3" are the three triangle sides, and "H" is the length of the prism.
Hope it works!

6 0

4 years ago

Read 2 more answers

Find the area under one arch of a cycloid described by the parametric equations x = 3(20 - sin 20) and y = 3( I - cos 20). Use 0

Pavel [41]

The parametric equations seem to describe a circle of radius 3. Its area will be
A = πr² = π·3²

The appropriate choice seems to be
D. 9π