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Maslowich
3 years ago
15

Sarah is redecorating her bedroom and wants to pack away some picture frames. She is using a box that has measurements of 7 1/2

inches long, 3 2/3 inches wide, and 4 1/4 inches tall for storing them.
Part A:
What is the volume of Sarah's box?

Part B:
Each picture frame has a volume of 2 1/2in. Using your findings in Part A, how many picture frames can Sarah fit in her box?
Mathematics
1 answer:
stepan [7]3 years ago
7 0

Answer:

A. 71/2 = 35.5 + 32/3= 10.7 + 41/4= 10.3

35.5 + 10.7 + 10.3 = 56.5

B. 21÷2 = 10.5

56.5 ÷ 10.5 = 5.380952381

5 pictures frames

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Axis of symmetry y=x^2-4x+1
Andrei [34K]

Answer:

So for a quadratic function, the axis of symmetry is the line that divides the curved line in the middle, which is the h value, it can be found by using the formula -b/2a, so for here it would be 4/2(1) = 2, so x =2

Hope that answers your question

Step-by-step explanation:

6 0
1 year ago
Can you help stuck on this question for a while ​
stepladder [879]

Answer:

Option B

Step-by-step explanation:

Length of the rectangular sand box is given by the function,

F(x) = 3x³ + 6x - 2

Width of the sand box is represented by the function,

W(x) = 2x² - 4

Area function for the sand box will be,

Area of a rectangle = Length × Width

F(x) × W(x) = (3x³ + 6x - 2)(2x² - 4)

                 = 2x²(3x³ + 6x - 2) - 4(3x³ + 6x - 2)

                 = 6x⁵+ 12x³ - 4x²- 12x³- 24x + 8

                 = 6x⁵- 4x²- 24x + 8

Therefore, Area function will be represented by a polynomial degree of 5.

Option B will be the answer.

3 0
2 years ago
What is the answer to this question ?
Thepotemich [5.8K]

Answer: I honestly have no clue

Step-by-step explanation:

6 0
2 years ago
dos aviones parten de una ciudad con direcciones S32°E y E57°N¿ cuál es el angulo que forma sus direcciones?​
Elan Coil [88]

Answer:

El ángulo formado entre las dos direcciones es aproximadamente 115º.

Step-by-step explanation:

Las direcciones dadas en el enunciado significan lo siguiente:

S32ºE - <em>32º al este del sur.</em>

E57ºN - <em>57º al norte del este.</em>

Vectorialmente hablando, cada dirección es la siguiente:

S32ºE

A(x,y) = (\sin 32^{\circ}, -\cos 32^{\circ})

A(x,y) = (0.530, -0.848)

E57ºN

B(x,y) = (\cos 57^{\circ},\sin 57^{\circ})

B(x,y) = (0.545, 0.839)

El ángulo formado entre los dos vectores unitarios (\theta), medido en grado sexagesimales, puede determinarse mediante la siguiente ecuación vectorial:

\theta = \cos^{-1} \frac{A\,\bullet \,B}{\|A\|\cdot \|B\|}

Donde:

\|A\| - Norma de A(x,y).

\|B\| - Norma de B(x,y).

Si sabemos que A(x,y) = (0.530, -0.848), B(x,y) = (0.545, 0.839), \|A\| = 1 y \|B\| = 1, entonces el ángulo formado entre los dos vectores es:

\theta = \cos^{-1} \frac{(0.530)\cdot (0.545)+(-0.848)\cdot (0.839)}{(1)\cdot (1)}

\theta \approx 115^{\circ}

El ángulo formado entre las dos direcciones es aproximadamente 115º.

4 0
3 years ago
56.57 rounded to the nearest whole number
andrezito [222]
THE CORRECT ANSWER IS 57
8 0
2 years ago
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