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kondaur [170]
3 years ago
8

Graph -3.5 and -1.5 on the number line.

Mathematics
1 answer:
faust18 [17]3 years ago
6 0

Answer:

ok i kow this hold on

Step-by-step explanation:

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Use cramers rule to solve 4x+3y=4 -3x-y=7 show your work
Nataly_w [17]
\left\{\begin{array}{ccc}4x+3y=4\\-3x-y=7\end{array}\right\\\\D=  \left|\begin{array}{ccc}4&3\\-3&-1\end{array}\right|=(4)(-1)-(-3)(3)=-4+9=5\\\\D_x=\left|\begin{array}{ccc}4&3\\7&-1\end{array}\right|=(4)(-1)-(7)(3)=-4-21=-25\\\\D_y=\left|\begin{array}{ccc}4&4\\-3&7\end{array}\right|=(4)(7)-(-3)(4)=28+12=40\\\\x=\dfrac{D_x}{D}\Rightarrow x=\dfrac{-25}{5}=-5\\\\y=\dfrac{D_y}{D}\Rightarrow y=\dfrac{40}{5}=8
8 0
3 years ago
Please help!! I have tried it on my own and I am stuck
elena55 [62]

Answer:

1. 23.59 feet

2. 32.9°

Step-by-step explanation:

1. See the diagram attached.

The man is 11 feet distance from the bottom of the tree.

And the angle of elevation from the man to the top of the tree is 65°.

Now, we need to approximate the height of the tree,

Using the trigonometry, we can write  

\tan 65^{\circ} = \frac{\textrm {Height of the Tree}}{\textrm {Base Distance}} = \frac{h}{11}

⇒ h = 11 tan 65° = 23.59 feet (Approx.) (Answer)

2. See the diagram attached.

From the given right triangle the hypotenuse is 25 feet and the base is 21 feet.

And the angle between the hypotenuse and the base is the pitch of the ram of a NASCAR turn.

Using trigonometry, we can write  

\cos \theta = \frac{\textrm {Base}}{\textrm {Hypotenuse}} = \frac{21}{25}

⇒ \theta = \cos^{-1}(\frac{21}{25}) = 32.9^{\circ} (Answer)

8 0
3 years ago
2x-3yi=14+12i how do I find x and y
vladimir1956 [14]
2x-3yi=14+12i 
=> 2x=14; -3yi=12i => x=7; y=-4
7 0
3 years ago
Read 2 more answers
Ursula and her friends are playing hoop rolling. Ursula rolls a large hoop along the ground. The hoop rotates through an angle o
Karo-lina-s [1.5K]
1 revolution = 360 degrees
3/2pi = 1 second
1 revolution = 2pi radius
3/2pi (360/2pi)= 3/2pi (180/pi)=270 degree sec.

4 0
4 years ago
Find the area of the figure. round your answer to the nearest hundredth
liraira [26]

Answer: 84.14

Step-by-step explanation:

Area of the rectangle is L*W=B*H

14*5=70

To find the area of the half circle we must use the formula pi r^2/2

r=radius

and the radius is 6 because we add 4 and 4 and need to get to 14

because the line below it is 14 and it is a rectangle so the lengths are the same.

Diameter=6

So radius =3

pi (3)^2/2=

9/2 pi + 70=

84.14

6 0
3 years ago
Read 2 more answers
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