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never [62]
3 years ago
6

Micah wants to show the value 8/3 on the number line .. where should micah put the value 8/3 ?

Mathematics
1 answer:
Aliun [14]3 years ago
5 0

Answer:

Between 2 and 3

Step-by-step explanation:

Since 8 divided 3 = 2.666667 thus it must be between 2 and 3

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You want to draw a red then a blue marble. do you have a better chance of drawing a red then blue marble with or without replaci
elena-s [515]

Answer: Without replacing

Step-by-step explanation:

If you don't replace the first red marble, it decreases the number of red marbles in the mix, making the proportion of blue marbles relatively larger. For example, if there were 5 red and 5 blue marbles, there would be a 50% chance of drawing a blue marble. If the red drawn is not replaced, there is a 5/9 chance of drawing a blue marble, or a 55% chance of drawing one.

7 0
2 years ago
X^2-x-56=0 <br> How do you use the zero product property to solve this?
S_A_V [24]

Answer:

(x - 8) (x + 7)

x = 8 or x = -7

6 0
3 years ago
Read 2 more answers
The perimeter of a triangular field is 120m. Two of the sides are 21m and 40m.Calculate the largest angle of the field.
Mama L [17]

Answer:

the largest angle of the field is 149⁰

Step-by-step explanation:

Given;

perimeter of the triangular filed, P = 120 m

length of two known sides, a and b = 21 m and 40 m respectively

The length of the third side is calculated as follows;

a + b + c = P

21 m  + 40 m  + c = 120 m

61 m +  c = 120 m

c = 120 m - 61 m

c = 59 m

                         B

                     ↓            ↓  

                  ↓                          ↓

                ↓                                       ↓

            A →  →  → →  →  → →  → →    →    →  C

Consider ABC as the triangular field;

Angle A is calculated by applying cosine rule;

a^2 = b^2 + c^2 - 2bc \ Cos A\\\\Cos \ A = \frac{b^2 + c^2 - a^2}{2bc} \\\\Cos \ A = \frac{40^2 + 59^2 - 21^2}{2 \times 40 \times 59} \\\\Cos \ A = 0.983\\\\A = Cos ^{-1} (0.983)\\\\A = 10.6 \ ^0

Angle B is calculated as follows;

Cos \ B = \frac{a^2 + c^2 - b^2}{2ac} \\\\Cos \ B = \frac{21^2 + 59^2 - 40^2}{2 \times 21 \times 59} \\\\Cos \ B = 0.937\\\\B= Cos ^{-1} (0.937)\\\\B = 20.5 \ ^0

Angle C is calculated as follows;

Cos \ C = \frac{a^2 + b^2 - c^2}{2ab} \\\\Cos \ C = \frac{21^2 + 40^2 - 59^2}{2 \times 21 \times 40} \\\\Cos \ C = -0.857\\\\C = Cos ^{-1} (-0.857)\\\\C = 149\ ^0

Therefore, the largest angle of the field is 149⁰.

       

8 0
3 years ago
Find the slope intercept form of the equation of the line through the points(2,-4) parallel to the line 8x+2y+2=0
Margarita [4]

Answer:

y = -4x + 4

Step-by-step explanation:

8x+2y+2=0

turn that into slope intercept form:

y = -4x - 1

a parallel line has the same slope, but different y-intercept

y = -4x + b

put (2,-4) into the equation

-4 = -4(2) + b

you get b=4

final product:

y = -4x + 4

3 0
4 years ago
Graph the function. Describe its position relative to the graph of the indicated function
sweet [91]

Answer:

C

Step-by-step explanation:

If the parent function is function y=f(x) and a>0, then

  • the graph of the function y=f(x-a) is translated a units to the right graph of the parent function;
  • the graph of the function y=f(x+a) is translated a units to the left graph of the parent function;
  • the graph of the function y=f(x)+a is translated a units up graph of the parent function;
  • the graph of the function y=f(x)-a is translated a units down graph of the parent function.

In your case, the grapgh of the function y=2^x+2 is translated 2 units up the graph of the function y=2^x.

6 0
3 years ago
Read 2 more answers
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