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vivado [14]
4 years ago
15

Nick spent 1 3/4 hours doing homework. Of that time, 2/3 was spent on a social studies project. How many hours did Nick spend wo

rking on the project?
Mathematics
1 answer:
podryga [215]4 years ago
6 0
1 3/4 hours spent on homework

2/3 of that 1 3/4 hours spent on the project...

2/3 x 1 3/4 =
2/3 x 7/4 = 14/12 = 1 2/12 = 1 1/6

Nick spent 1 1/6 hours (or 1 hour and 10 minutes) on the project.
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a plane increases altitude by 350 M every minute.if the plane started at an altitude of 750 m above sea level what is the plane'
Sunny_sXe [5.5K]

Answer:

The Answer is: 2,850.

Step-by-step explanation:

Multiply 350 M times 6:

6 * 350 = 2,100

Add 2100 to 750:

2,100 + 750 =

3 0
3 years ago
Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point. (a) (5, 3π/2) (x, y) = (b) (
Vlad1618 [11]

Answer:

A)(5,\frac{3\pi}{2})=(0,-5)\:B)(\frac{3}{2} , \frac{\pi}{4} ) \Rightarrow (\frac{3\sqrt{2}}{4} ,\frac{3\sqrt{2}}{4} )\:C)(-1,\frac{\pi}{6})= (\frac{\sqrt{3}}{2},\frac{1}{2})

Step-by-step explanation:

1) Check the Polar Coordinates on the graph.

2) A polar coordinate is given in (r,\theta) Let's transform each polar coordinate into Cartesian one. Considering:

A)

x=rcos\theta\\y=rsin\theta\\

A) (5,\frac{3\pi}{2})\\cos(\theta)=\frac{x}{5}\\cos(\frac{3\pi}{2})=\frac{x}{5}\:Cross\: Multiplying\\x=5 cos(\frac{3\pi}{2})\\x =5 cos(0)\:x=0\\sin(\frac{3\pi}{2})=\frac{y}{5}\\y=5sin(-1)\\y=-5\\(0,-5)

B) (b) (3/2 , π/4)

B) (\frac{3}{2},\frac{\pi}{4})\\cos(\theta)=\frac{x}{\frac{3}{2}}\\\frac{3}{2}cos(\frac{\pi}{4})=x\:Cross\: Multiplying\\x=\frac{3}{2}*\frac{\sqrt{2}}{2}\\x =\frac{3\sqrt{2}}{4} \approx 1.06

y=\frac{3}{2}sin(\frac{\pi}{4})\Rightarrow y =\frac{3\sqrt{2}}{4}

B)(\frac{3}{2} , \frac{\pi}{4} ) \Rightarrow (\frac{3\sqrt{2}}{4} ,\frac{3\sqrt{2}}{4} )

C) (c) (−1, −π/6)

C) (-1,-\frac{\pi}{6})\\cos(\theta)=\frac{x}{-1}\\-cos(\frac{-\pi}{6})=x\:Cross\: Multiplying\\x=\frac{\sqrt{3}}{2}

(-1,-\frac{\pi}{6})\\sin(\theta)=\frac{x}{-1}\\-sin(\frac{-\pi}{6})=x\:Cross\: Multiplying\\x=\frac{1}{2}

C)(-1,\frac{\pi}{6})= (\frac{\sqrt{3}}{2},\frac{1}{2})

6 0
3 years ago
Ben is decorating his home with vases of flowers. He bought glass vases that cost $22 each and ceramic vases that cost $14 each.
Ksivusya [100]

Number of glass vases bought = x

Number of ceramic vases = y

Ben bought no more than 10 vases in all.

So total number of vases can be represented as:

x+y\leq10

Cost of one glass vase = $22

Cost of x glass vases = 22x

Cost of one ceramic vase = $14

Cost of y ceramic vases = 14y

Total cost of vases is more than $172

So the equation for cost is:

22x+14y\geq172

Answer:

So the system of inequalities that can be used are:

x+y\leq10

22x+14y\geq172

5 0
3 years ago
Read 2 more answers
HELP ME PLS!!!<br> Thank you!
umka2103 [35]
The third one with 3x-4 and x+4/3
5 0
3 years ago
Plz help me with this question
Eva8 [605]

Answer:

4 units^2

Step-by-step explanation:

1. Since the formula to find the area of the triangle is (base × height)/2, let's find the value of the base and height!

2. The base of a triangle is the side of a triangle which is considered to be the bottom. As you can see from the given image, the base is worth 2 units.

3. The height of a triangle is considered to be the perpendicular line dropped onto the base from the angle that's opposite to the base. From the base to the top of the triangle, the height is 4 units.

4. Now that we have the base and height, let's apply the formula:

  • (2 × 4)/2
  • 8/2
  • 4

Therefore, the area of the triangle is 4 units^2.

7 0
3 years ago
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