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kramer
3 years ago
14

Carlotta rounded a number to the nearest tenth and got 4.5. When she rounded it to the nearest whole number, she got 5. Which of

these could be the number she rounded?
Mathematics
1 answer:
VLD [36.1K]3 years ago
6 0

Answer:

4.5 ≤x<4.55

Step-by-step explanation:

for whole number

It has to be 4.5 or greater to round to 5  on the low end

It has to be less than 5.5 to round to 5 on the high end

for tenths

If has to be 4.45 or  greater to round to 4.5 on the low end

It has to be less than 4.55 to round to 4.5

We take the more restrictive limits to define the number

The number must be between

4.5 ≤x<4.55

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Answer:

x>-2

Step-by-step explanation:

-9x-15<3

+15<+15 add 15 to both sides

_________

-9x<18

÷-9 <÷-9 divide both sides by -9, switch inequality _________ symbol when dividing by negative number.

x>-2 Answer

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8 0
3 years ago
11) Ms. Ripa's family is planning to come visiting her from New York. She hopes to take
Natasha_Volkova [10]
$88

Explanation:
Adults $12x5 = 60
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5 0
3 years ago
QUICK!! TEN POINTS!! BRAINLIEST FOR WHOEVER GETS IT RIGHT!!
lara [203]

Answer:

(-2, -4.5)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The following equation involves a trigonometric equation in quadratic form. Solve the equation on the interval [0,2π).
Effectus [21]

Answer:

\dfrac{\pi}{6}, \dfrac{5\pi}{6}, \dfrac{3\pi}{2}

Step-by-step explanation:

Given the quadratic equation as:

2sin^2x+sinx=1\\OR\\2sin^2x+sinx-1=0

Let us put sinx=y for simplicity of the equation:

Now, the equation becomes:

2y^2+y-1=0

Now, let us try to solve the quadratic equation:

\Rightarrow 2y^2+2y-y-1=0\\\Rightarrow 2y(y+1)-1(y+1)=0\\\Rightarrow (2y-1)(y+1)=0\\\Rightarrow 2y-1 = 0, y+1 = 0\\\Rightarrow y = \dfrac{1}{2}, y = -1

So, the solution to the given trigonometric quadratic equation is:

sinx = \dfrac{1}{2}

and

sinx=-1

Let us try to find the values of x in the interval [0, 2\pi).

sin\theta can have a value equal to \frac{1}{2} in 1st and 2nd quadrant.

So, x can be

30^\circ, 150^\circ\\OR\\\dfrac{\pi}{6}, \dfrac{5\pi}{6}

For sinx=-1,

x = 270^\circ\ or\ \dfrac{3 \pi}{2}

So, the answer is:

\dfrac{\pi}{6}, \dfrac{5\pi}{6}, \dfrac{3\pi}{2}

7 0
3 years ago
PLEASE HEEEELPPPP ASAP
denpristay [2]

Answer:

y = √(3² + 3²)

9 = √(5² + x²)

Step-by-step explanation:

Diagram 1:

Hypotenuse = y

Opposite = 3

Adjacent = 3

y² = 3² + 3²

y = √(3² + 3²)

y = √(9 + 9)

y = √18

Diagram 2:

Hypotenuse ² = known leg² + unknown leg²

Hypotenuse = 9

Known leg = 5

Unknown leg = x

9² = 5² + x²

9 = √(5² + x²)

9² = 5² + x²

9² - 5² = x²

x² = 81 - 25

x = √ 56

5 0
3 years ago
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