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3 years ago

PLLLZZ HELP!!!!

Mathematics

1 answer:

topjm [15]3 years ago

8 0

Answer:

3. A quadrilateral with each side length 4 cm

Step-by-step explanation:

We need to understand what is a unique polygon?

<em>It means all regular polygons with the same number of sides are similar.</em>

1.A triangle with angles 30 degrees, 60 degrees, and 90 degrees

It is an right triangle, so the 3 sides are not simillar, so it is wrong

2. A triangle with side lengths 5 cm, 4 cm, and 3 cm

It is a triangle with the 3 sides are not simillar, so it is wrong

3. A quadrilateral with each side length 4 cm

It is an square with the 4 sides are simillar, so it is true

4. A triangle with side lengths 7 cm and 8 cm and a 40-degree angle

It is a triangle with the 3 sides are not simillar, so it is wrong

Hence, we choose 3.

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A chain of retail computer stores opened 2 stores in its first year of operation. After 8 years of operation, the chain consiste

Helen [10]

Answer:

0.66

Step-by-step explanation:

The exponential growth equation is expressed as;

S(t) = S0e^kt

S(t) is the number of stores after t years

S0 is the initial number of stores

If a chain of retail computer stores opened 2 stores in its first year of operation then at t = 1, S(t) = 2. Substitute into the equation;

2 = S0e^k(1)

2 = S0e^k .... 1

Also if after 8 years of operation, the chain consisted of 206 stores, this means at t = 8, S(t) = 206. Substitute into the equation;

206 = S0e^k(1)

206 = S0e^8k .... 2

Next is to calculate the value of k

Divide equation 2 by 1;

$\frac{206}{2} = \frac{S0e^{8k} }{S0e^k }\\103 = e^{7k}\\apply \ ln \ to \ both \ sides\\ln103 = lne^{7k}\\ln103 = 7k\\k = \frac{ln103}{7}\\k = \frac{4.6347}{7} \\k = 0.6621$

Hence the value of k to the nearest hundredth is 0.66

4 0

3 years ago

Evaluate 3x for x = -2, x = 1, and x = 3.

jok3333 [9.3K]

Answer:

A) 1/9, 3, 27

Step-by-step explanation:

i think you mean 3^x (and not 3x).

because otherwise none of the answer options withdraw makes any sense.

3^-2 = 1/(3²) = 1/9

3¹ = 3

3³ = 27

3 0

2 years ago

The sum of four consecutive even integers is 256. what are the numbers?

Naily [24]

Answer:

61 , 63 , 65 , 67

Step-by-step explanation:

Let the least even number be denoted by x. The sum of the four consecutive even numbers would be:

(x) + (x + 2) + (x + 4) (x + 6) = 256

First, simplify. Combine all like terms:

x + x + x + x + 2 + 4 + 6 = 256

4x + 12 = 256

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 12 from both sides of the equation:

4x + 12 (-12) = 256 (-12)

4x = 256 - 12

4x = 144

Next, divide 4 from both sides of the equation:

(4x)/4 = (144)/4

x = 144/4

x = 61

61 is your first number. Find the next 3 consecutive numbers:

x = 61

x + 2 = 63

x + 4 = 65

x + 6 = 67

Check:

61 + 63 + 65 + 67 = 256

256 = 256

7 0

3 years ago

Can someone please help me

pentagon [3]

The first one is 8 and here's a graph. the second one is 5 again here's a graph

7 0

3 years ago

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Ali scored 58 marks in eng and 49 in math . how much percent in eng more than math

Sergeu [11.5K]

Answer: 9%

Step-by-step explanation: as all the marks are out of 100 i suppose

so Ali got 58% at eng and 49% at math

so 58-49=9%

and that is how we get the answer

4 0

3 years ago

Read 2 more answers