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Amiraneli [1.4K]
4 years ago
14

Find the value of r .

Mathematics
1 answer:
Sever21 [200]4 years ago
3 0

Answer:

0.5

Step-by-step explanation:

hypotenuse/adjacent=r

7/14=0.5

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American Airlines charges $270 for a flight to Denver and $50 for each piece of luggage. Delta Airlines charges $330 for a fligh
amm1812

Answer:

J; 250 + 50x > 330 + 30x

Step-by-step explanation:

Since we don't have to worry about formatting the numbers to slope-intercept form, we can start the process of elimination.

First, we can disregard G and H because both have the x in the wrong place:

—> F 270 + 50x ≥ 330 + 30x

—> G 270x + 50 > 330x + 30

—> H 270x + 50 < 330x +30

—> J  270 + 50x > 330 + 30x​

We're looking for <em>270 + 50x > 330 + 30x</em>.

Next, we determine which symbols are correct.  Since the question is only asking for when American Airlines would be more expensive, not when it would be just as much or more, we can get rid of F.

—> F  270 + 50x ≥ 330 + 30x

—> J 270 +50x > 330 + 30x

We finally have our answer, J.

5 0
3 years ago
Let
Maksim231197 [3]

Answer:

3.3

Step-by-step explanation:

We determine the plane formed by u_1 and u_2. The normal to the plane is given by their cross product:

u_1\times u_2

\begin{pmatrix} - 2\\ - 4\\ 1 \end{pmatrix}\times\begin{pmatrix} - 4\\ 1 \\ - 4\end{pmatrix}=\begin{pmatrix} 15 \\ - 12\\ - 18\end{pmatrix}

The equation of the plane is then given by

15x-12y-18z=0

The distance between a vector \begin{pmatrix} x_1 \\ y_1 \\ z_1 \end{pmatrix} and a plane Ax+By+Cz +D =0 is given by

d=\dfrac{|Ax_1+By_1+Cz_1 +D|}{\sqrt{A^2+B^2+C^2}}

Comparing,

A = 15,\ B = - 12,\ C = -18,\ D = 0,\ x_1=3,\ y_1 =-8, \ z_1 =3

Substituting,

d=\dfrac{|(15\times3)+(-12\times-8)+(-18\times3)+0|}{\sqrt{15^2+(-12)^2+(-18)^2}}

d=\dfrac{|45+96-54|}{\sqrt{225+144+324}}=\dfrac{87}{\sqrt{693}}

d =\dfrac{87}{26.32\ldots}\approx 3.3

4 0
3 years ago
Make x the subject of the formula<br> WX/p=q
erica [24]

Answer:

Step-by-step explanation:

\frac{WX}{p}=q

Multiply the equation by p

\frac{WX}{p}*p=q*p\\\\WX = pq\\\\\frac{WX}{W}=\frac{pq}{W}\\\\X =\frac{pq}{W}

4 0
3 years ago
Read 2 more answers
3X squared equals 108
VARVARA [1.3K]

Answer:

x=+6

Step-by-step explanation:

First, let's divide both sides of the equation by  

3

:

⇒

3

x

2

3

=

108

3

⇒

x

2

=

36

Then, let's subtract  

36

from both sides:

⇒

x

2

−

36

=

36

−

36

⇒

x

2

−

36

=

0

The left-hand side of the equation is now in the form of a difference of squares.

We can factorise it in the following way:

⇒

(

x

+

6

)

(

x

−

6

)

=

0

Using the null factor law:

∴

x

=

±

6

Therefore, the solutions to the equation are  

x

=

−

6

and  

x

=

6

.

6 0
4 years ago
Owen and his friend Kayden are going to a carnival that has games and rides. Owen played 5 games and went on 6 rides and spent a
djyliett [7]
Owen: 5x + 6y = $28.75
kayden; 4x + 3y= $16.25
that’s all i know, sorry
7 0
4 years ago
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