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elena-s [515]
2 years ago
11

What is the greatest common factor of 14, 28 and 42?

Mathematics
1 answer:
Anna71 [15]2 years ago
6 0

Answer:

14

Step-by-step explanation:

common factors are 1,2,7,14

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A straight slide in a playground design makes an isosceles triangle with the
julia-pushkina [17]

Answer:

Option D.

Step-by-step explanation:

  • First, the you need ti understand that the triangle is an isosceles right angled triangle. In other words, the base and height are equal in length. The third side is the slide. This is the longest side.
  • Next, we know that the formula for calculating the area of a right angled triangle is given by:

        A = 1/2 (base × perpendicular height)

  • The perpendicular height is equal to the base. Let's say the base is <em>x</em>. It means that the height is also x, since height = base.
  • Therefore, the formula will be:

       A = 1/2 (x.x)

           =1/2 (x²)

      32 = 1/2 (x²)

     Multiplying both sides by 2 gives:

     32×2 = x²

     64  = x²

       8   = x

To find the third side, we use the Pythagoras theorem:

    C² = A² + B²

         = 8² + 8²

         = 128

   C = √128

       = 8√2

However, the answer will not be exact, so we  multiply the length of the base and height by 2. This gives x = 16 (Length of base = length of height)

Repeating the steps above gives C = √ (16)² + (16)²

                                                           = √256

This corresponds to option D.

3 0
3 years ago
Which expression is equivalent to 5(4f+3)-2f
Ierofanga [76]

Answer:

f = 5/6

Step-by-step explanation:

5(4f + 3) - 2f

= 20f + 15 - 2f

= 18f + 15

18f = 15

f = 15/18

f = 5/6

6 0
3 years ago
Read 2 more answers
For their wedding, Rajai and Carly received $1000. Their financial advisor laid out 4 different options for them to invest in. A
dolphi86 [110]

Answer:

Their best investment when they retire in 40 years would be option B.

Step-by-step explanation:

Ragai and Carly invest the $1000 received for their wedding for 40 years.

From the diagram,

In option A, the initial investment do not increase at a constant rate yearly.

In option B, the amount invested increase by $75 yearly.

In option C, the yearly increase does not have a steady value.

In option D, the amount invested increases by a n + consecutive odd values yearly. Where n is the increase of the previous year.

Their best investment when they retire in 40 years would be option B because it would yield the highest profit.

8 0
3 years ago
Write a recursive and an explicit formula to represent the following sequence 52, 40, 28, 16,...
horrorfan [7]

Answer:

Explicit tn = 52 + (n - 1)*(-12)

Recursive = tn = t(n - 1) - 12

Step-by-step explanation:

The difference between term n and term n - 1 is can be found by taking the difference between and 2 consecutive terms.

t3 = 28

t2 = 40

d = t3 - t2

d = 28 - 40

d = - 12

Explicit

tn = a1 + (n - 1)*d

a1 = 52

d = - 12

tn = 52 + (n - 1)*(-12)

<em><u>Example</u></em>

Find t5

t5 = 52 + (5 - 1)*(-12)

t5 = 52 + 4 * - 12

t5 = 52 - 48

t5 = 4

Recursive

tn = t(n - 1) - 12

<em><u>Example</u></em>

t5 = t4 - 12

t5 = 16 - 12

t5 = 4 just as it did before.

5 0
3 years ago
The sales tax for an item is $44.10 and it cost $490 before tax. find the sales tax rate. write your answer as a percentage
svetoff [14.1K]

Answer:

9% sales tax

Step-by-step explanation:

44.10/490 =

.09

.09 as a percentage is also 9%

6 0
3 years ago
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