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Free_Kalibri [48]
4 years ago
10

Hw 43 special right triangles

Mathematics
1 answer:
Nutka1998 [239]4 years ago
4 0

Answer:


Step-by-step explanation:

Use the fact that sin 30 =0.5 and cos 30 = sqrt 3/2

we have answers as

8. u=16 and v = 8\sqrt{3}

9) y=5 and x=5\sqrt{3}

10) tan 30 =\frac{1}{\sqrt{3} }

So y=4\sqrt{3}

x=8\sqrt{3}


11) a=22 and b=11

12) b=1.5 and a=1.5\sqrt{3}

13) y=20\sqrt{3}

and x=10



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Need help plz and thnks
Serjik [45]

Answer: y=13

hope this helps!

3 0
3 years ago
What are the potential solutions of log4x+log4(x+6)=2?
lions [1.4K]

The potential solutions of log_4x+log_4(x+6)=2 are 2 and -8.

<h3>Properties of Logarithms</h3>

From the properties of logarithms, you can rewrite logarithmic expressions.

The main properties are:

  • Product Rule for Logarithms - log_{b}(a*c)=log_{b}a+log_{b}c
  • Quotient Rule for Logarithms - log_{b}(\frac{a}{c} )=log_{b}a-log_{b}c
  • Power Rule for Logarithms - log_{b}(a^c)=c*log_{b}a

The exercise asks the potential solutions for  log_4x+log_4(x+6)=2. In this expression you can apply the Product Rule for Logarithms.

                                  log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0

Now you should solve the quadratic equation.

 

 Δ=b^2-4ac=36-4*1*(-16)=36+64=100. Thus, x will be x_{1,\:2}=\frac{-6\pm \:\sqrt{100} }{2\cdot \:1}=\frac{-6\pm \:10}{2}. Then:

x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8

The potential solutions  are 2 and -8.

Read more about the properties of logarithms here:

brainly.com/question/14868849

4 0
2 years ago
31. A business rents cars for $150 a day and vans for $300 a day. One day it rented a total of 30 vehicles and
Advocard [28]

Answer:

D. 22 Cars and 8 Vans

Step-by-step explanation:

1. You multiply 22 x 150 = 3,300.

2. Then you multiply 300 x 8 = 2,400.

3. Next, add 3,300 + 2,400

4. That equals 5700.

Hopefully, that helps!

7 0
3 years ago
Help ASAP!!!!!!!!!!!!!!!!!!!!!!
Fittoniya [83]
The answer would be +3 since ur adding 3 every time
5 0
2 years ago
Read 2 more answers
6 yd<br> 4 yd<br> 7 yd<br> 4 yd<br> Perimeter:<br> Area:<br> Help me find the area and the permiter
morpeh [17]

Step-by-step explanation:

Assuming figure to be trapezoid,

Perimeter=6+4+7+4yd

=21 yd

Area of trapezoid=((6+7)/2) x ((4)^2-(0.5)^2)

=(13/2)x(16-0.25)

=6.5 x 15.75

=102.375 Sq yards

8 0
2 years ago
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