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Oduvanchick [21]
2 years ago
13

I need help solving this ​

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
4 0

Answer:

I'd say x is 15-16

it's only a bit larger than the 10

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A gift bag is shaped like a rectangular prism and has a volume of 1152 cubic inches. The width of the bag is w, the length is 2w
Dafna11 [192]
1. You must use the formula for calculate the volume of a rectangular prism, which is:

 V=(h)(l)(w)

 V: It is the volumen of the rectangular prism (V=1152 inches³).
 h: It is the height of the rectangular prism (h=18-w).
 l:It is the lenght of the rectangular prism (l=2w+4).

 2. When you substitute these calues into the formula, you obtain:

 V=(h)(l)(w)
 1152=(18-w)(2w+4)(w)
 (18-w)(2w+4)(w)-1152=0

 3. Then, you should mutiply them:

 36w²-2w³+72w-4w²-1152=0
 32w²-2w³+72w-1152=0

 4. When you factor, you obtain:

 2(w-16)(w-6)(w+6)

 w1=16
 w2=6
 w3=-6

 5. The problem says that the height is greater than the width, therefore, the widht is:

 w=6 inches

 6. The length is:

 l=2w+4
 l=2(6)+4
 l=16 inches

 7. And the height is:

 h=18-w
 h=18-6
 h=12 inches

 What are the dimensions of the bag?

 The dimensions of the bag are:

 l=16 inches
 h=12 inches
 w=6 inches  
8 0
3 years ago
On the unit circle, which of the following angles has the terminal point coordinates (√2/2,-√2/2)
aleksandr82 [10.1K]

Answer:

Option B

Step-by-step explanation:

A unit circle means radius of the circle = 1 unit

Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.

Center of the circle is origin (0, 0).

Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = (\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})

OP.Cosθ = 1×Cosθ = \frac{1}{\sqrt{2}}

Cosθ = \frac{1}{\sqrt{2}}

θ = \frac{\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integers

Similarly, OP×Sinθ = 1×Sinθ = -\frac{1}{\sqrt{2}}

Sinθ = -\frac{1}{\sqrt{2} }

θ = \frac{5\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integer

Common value of θ will be, θ = \frac{7\pi }{4}

Option B will be the answer.

5 0
3 years ago
13. Distributive Property<br> 3(x - 1) = 3x - ?
goblinko [34]

Answer:

\huge\boxed{3x-3}

Step-by-step explanation:

3(x-1)=\\\\\text{Distribute: }\left \{ {{3*x=3x} \atop {3*-1=-3}} \right.\\\\3(x-1)=\boxed{3x-3}

8 0
3 years ago
Read 2 more answers
Middle school students were asked how they got to school each morning. There were 375 students who said they rode the bus. This
stellarik [79]

Answer:

give me 1 second to answer with the correct answer

4 0
2 years ago
Denise bought 116 ounces of beans for a bean dip. She bought both 15-ounce cans and 28-ounce cans, and the total number of cans
Valentin [98]
15x + 28y = 116
x + y = 6

that would be ur system of equations

7 0
3 years ago
Read 2 more answers
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