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sweet [91]
3 years ago
13

4. Which of the two figures below has the lesser volume?

Mathematics
1 answer:
elena55 [62]3 years ago
7 0

Answer:

cylinder has greater volume

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14.What is the solution of the system?
Archy [21]

Answer:

14.  x=-2.5,  y = -7

15.  x=28  y = -20

Step-by-step explanation:

14.  Let's solve this system by elimination.  Multiply the first equation by -1.

-1*(4x-y)= -1*(- 3)

-4x +y = 3

Then add this to the second equation.

-4x+y = 3

6x-y= - 8

--------------

2x   = -5


Divide each side by 2

x = -2.5

We still need to find y

-4x+y =3

-4(-2.5) + y =3

10 +y =3

Subtract 10 from each side.

y = 3-10

y = -7


15.I will again use elimination to solve this system, because using substitution will give me fractions which are harder to work with.   I will elimiate the y variable.  Multiply the first equation by 11

11( 5x+6y)= 11*20

55x+66y = 220

Multiply the second equation by -6

-6(9x+11y)=32*(-6)

-54x-66y = -192


Add the modified equations together.

55x+66y = 220

-54x-66y = -192

---------------------------

x = 28

We still need to solve for y

5x+6y = 20

5*28 + 6y =20

140 + 6y = 20

Subtract 140 from each side

6y = -120

Divide by 6

y = -20

3 0
3 years ago
What is the equation of the line that is perpendicular to y= -3x + 1 and passes through (2,3)?
Aleonysh [2.5K]

Answer:

\large\boxed{y=\dfrac{1}{3}x+2\dfrac{1}{3}}

Step-by-step explanation:

\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=-3x+1\to m_1=-3.\\\\\text{Therefore}\ m_2=-\dfrac{1}{-3}=\dfrac{1}{3}.\\\\\text{The equation of the searched line:}\ y=\dfrac{1}{3}x+b.\\\\\text{The line passes through }(2,\ 3).

\text{Put the coordinates of the point to the equation.}\ x=2,\ y=3:\\\\3=\dfrac{1}{3}(2)+b\\\\3=\dfrac{2}{3}+b\qquad\text{subtract}\ \dfrac{2}{3}\ \text{from both sides}\\\\b=2\dfrac{1}{3}

3 0
3 years ago
Read 2 more answers
How many times does 1/3 go into 1/18?
Orlov [11]
6 is the answer 18 divided by 3 equals to 6 so that’s the answer
4 0
3 years ago
Read 2 more answers
Sorry, but I also need help on this
gladu [14]

Answer:

It B ok

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Jessica wants to plan where she will place furniture in her room, so she has drawn a scale model of her room in order to begin p
Setler79 [48]
To solve this problem you must apply the proccedure shown below:
 1. You have that:
<span> - The scale model is 11 inches long and 8.5 inches wide.
 - The door to her room takes up 1.75 inches.
 - The longest wall in Jessica’s actual room is 15 feet long.
 2. Therefore, the actual size of the door is:
 15 feet=180 inches
 1.75 inches(180 inches/11 inches)=28.63 inches
 3. If the door in completely open, you must apply the formula for calculate the area of a semicircle:
 A=</span>πr²/2
 r=28.63 inches
 A=π(28.63 inches)²/2
 A=1288.11 inches²
 The answer is: 1288.11 inches²
5 0
3 years ago
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