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Aliun [14]
4 years ago
11

Three times a number w is less than 18

Mathematics
1 answer:
wlad13 [49]4 years ago
3 0
3w < 8 would be the answer.
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(b) Find the angle between u and v to the nearest degree.
yulyashka [42]

<u>Question 1 (b)</u>

<u />u \cdot v=11\\\\|u|=\sqrt{3^{2}+(-1)^{2}}=\sqrt{10}\\\\|v|=\sqrt{4^{2}+1^{2}}=\sqrt{17}

So,

\cos \theta=\frac{11}{\sqrt{10}\sqrt{17}}\\\\\theta=\cos^{-1} \left(\frac{11}{\sqrt{10}\sqrt{17}} \right) \approx \boxed{32^{\circ}}

<u>Question 2 (b)</u>

<u />u \cdot v=22\\\\|u|=\sqrt{5^{2}+2^{2}}=\sqrt{29}\\\\|v|=\sqrt{4^{2}+1^{2}}=\sqrt{17}

So,

\cos \theta=\frac{22}{\sqrt{29}\sqrt{17}}\\\\\theta=\cos^{-1} \left(\frac{22}{\sqrt{29}\sqrt{17}} \right) \approx \boxed{8^{\circ}}

6 0
2 years ago
Dose 36 go into 50? Plzz help
Alik [6]
<span>Just once with a remainder of 14
</span><span>
</span>
8 0
4 years ago
Read 2 more answers
Write an equation of the form y = mx for the line shown below.
djyliett [7]

Answer:

y = -3x

Step-by-step explanation:

To get slope intercept, you divide both y values by both x values like this

\frac{y_2 - y_1}{x_2 - x_1}

In this case this will be \frac{(-3 - 6)}{(1 - (-2))}

This will become \frac{-9}{3}

Divide those two to get -3, and now you get your slope intercept.

7 0
3 years ago
28/7 in decimal form?
lianna [129]
The answer is 4, which is an integer
4 0
3 years ago
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At the theater, the Garcia family bought 2 adult tickets and 3 children's tickets for $44.50. The Smith family bought 3 adult ti
kondaur [170]

Answer:

Adult= $11

Children = $7.5

Step-by-step explanation:

Let x represent adult ticket and y represent children ticket

2x + 3y= 44.50........equation 1

3x + 6y= 78........equation 2

From equation 1

2x + 3y= 44.50

2x= 44.50-3y

x= 44.50-3y/2

Substitute 44.50-3y/2 for x in equation 2

3x+ 6y= 78

3(44.50-3y/2) + 6y= 78

66.75- 4.5y +6y= 78

66.75 + 1.5y= 78

1.5y= 78-66.75

1.5y= 11.25

y= 11.25/1.5

y = 7.5

Substitute 7.5 for y in equation 1

2x + 3y = 44.50

2x + 3(7.5)= 44.50

2x + 22.5= 44.50

2x = 44.50-22.5

2x= 22

x= 22/2

x= 11

Hence the price of adult ticket is $11 and the price of children ticket is $7.5

6 0
3 years ago
Read 2 more answers
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