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UNO [17]
3 years ago
6

I need help on this 2 problems please help​

Mathematics
1 answer:
daser333 [38]3 years ago
5 0
<h3>Answer:</h3>

  7)  0.76 is a rational number

  8)  The list of favorable outcomes is {orange pop #1, orange pop #2}.

<h3>Step-by-step explanation:</h3>

7) The product 0.4 × 1.9 is 0.76. This is not an integer, whole number, or natural number. It is a decimal fraction of finite length, so is a rational number.

___

8) Often, a problem of this sort will ask for the probability of an orange pop outcome. This problem doesn't ask that. Rather it asks what the possible orange pop outcomes are. Drawing one orange pop from the box will give you one of ...

  • orange pop #1
  • orange pop #2

These are the possible outcomes.

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What is804,082 in expanded form
Nutka1998 [239]
800000+4,000+80+2 you don’t need the zeros
3 0
3 years ago
Read 2 more answers
15. Over what range of angles does the value of sin(O) consistently increase?
Ronch [10]

Answer:

D. 0° to 90°

Step-by-step explanation:

If we see curve of sin(o) on coordinate,  we will notice that value of sin curve increases from 0 to 90 degrees and then decreases from 90 to 180 degrees.

Hence option D is correct.

Alternatively

we see that

sin 0 = 0

sin 30 = 1/2

sin 45 = 1/\sqrt{2}

sin 60 = \sqrt{3} /2

sin 90 = 1

Thus, we see  that value of sin is increasing from 0 to 90

now lets see value of sin from 90 to 180

sin 90 = 1

sin 120 = \sqrt{3} /2

sin 135 = 1/\sqrt{2}

sin 150 = 1/2

sin 180 = 0

Thus, we see  that value of sin is decreasing from 90 to 180.

8 0
3 years ago
John's dog Fido is tied to a post in his backyard. Fido's leash is 8.5 feet long. Determine how much circular roaming area Fido
ira [324]

Answer:

227 ft^2

Step-by-step explanation:

Here, we are tasked with calculating the roaming area that Fido has

Calculating this is same as calculating the area of circle that has a radius which is equal to the length of the leash

Mathematically, the area would be

A = π * r^2

A = 3.14 * 8.5^2

A = 226.865 ft^2

To the nearest square foot, this is 227 ft^2

3 0
3 years ago
The sum of 5 times a number and 8 is equal to 9
Irina-Kira [14]

Answer:

The unknown number is \frac{1}{5}

Step-by-step explanation:

Let's make the unknown number x.

The sum of 5 TIMES a number (x) & 8 is 9.

Let's write it mathematically.

5x + 8 =9

We are trying to find the unknown number, so let's remove all the numbers from the left side to find x. Minus 8.

5x=1

5x is basically 5 times x, so to find x, we need to divide and from there we can remove 5.

x= \frac{1}{5}

4 0
3 years ago
The area for a trapezoid is given by the formula below, where a and b are the lengths of the two bases and h is the height of th
aivan3 [116]

Answer:

C

Step-by-step explanation:

Given

A = \frac{h(a + b)}{2}

Substitute the given values with h = a, then

16.5 = \frac{a(a+8)}{2} ( multiply both sides by 2 )

33 = a(a + 8) ← distribute

33 = a² + 8a ( subtract 33 from both sides )

0 = a² + 8a - 33 ← in standard form

0 = (a + 11)(a - 3) ← in factored form

Equate each factor to zero and solve for a

a + 11 = 0 ⇒ a = - 11

a - 3 = 0 ⇒ a = 3

However, a > 0 thus a = 3

Hence the height is 3 feet

4 0
3 years ago
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