1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
loris [4]
3 years ago
6

Find the value of each variable.​

Mathematics
1 answer:
Setler [38]3 years ago
5 0

Answer:

It's b:  a  = 10√3, b = 5√3 , c = 15 and d = 5.

Step-by-step explanation:

We have two 30-60-90 triangles here so the sides are in the ratio 2:1:√3.

Consider the small triangle whose hypotenuse is 10:

1/2 = d/10

d = 10/2 = 5.

b / 10 =  √3 /2

b =  10√3/2 = 5√3.

Now, the larger triangle to the left:

2 / 1 =  a /  5√3

a  = 10√3.

2 / √3 =   10√3 / c

c =  30/2 = 15.

You might be interested in
3
Klio2033 [76]
Hello and I hate that omg omngol gomf
4 0
3 years ago
A stick 7 inches long is broken into two pieces, so that one piece is twice as long as the other one. How long are the two piece
marshall27 [118]

Hello from MrBillDoesMath!

Answer:

7/3 and 14/3 inches

Discussion:

Let P1 = "Piece 1" and "P2 = Piece 2", Then P2 = 2 * P1 and

P1 + P2 = 7       => as P2 = 2 P1

P1 + 2P1 = 7      =>

3P1 = 7             => divide both sides by 7

P1 = 7/3


Then P2 = 2 P1 - 2* (7/3) = 14/3

Thank you,

MrB

7 0
3 years ago
Read 2 more answers
HELP :Write the expression as the<br> sine or cosine of an angle.
Reptile [31]

Answer:

sin(4π/21)

Step-by-step explanation:

Step 1: Rearrange expression

sin(π/3)cos(π/7) - cos(π/3)sin(π/7)

Step 2: Use sin(A ± B)

sin(π/3 - π/7)

Step 3: Evaluate

sin(4π/21)

And we have our answer!

5 0
3 years ago
the number of right handed students in a mathematics class is nine times the number of left hand students. the total number of s
rewona [7]

Answer:

3 left handed and 27 right handed.

Step-by-step explanation:

9+1=10

30/10=3

3*9=27

30-27=3

7 0
3 years ago
A lumber company needs to estimate the volume of wood a load of timber will produce. The supervisor knows that the volume of woo
Hitman42 [59]

Answer with Step-by-step explanation:

Let the volume be represented by 'V'

Since it is given that Volume varies with height 'h' and square of the girth 'g' we can write

V=khg^2 where 'k' is a constant of proportionality

Now it is given that volume is 288 cubic meters for  h= 40 meters and g =1.5 meters we can write

288=k\times 40\times 1.5^2\\\\\therefore k=\frac{288}{40\times 1.5^{2}}=3.2

Thus the volume of the timber as a relation is

V=3.2\times hg^{2}

Part b)

Volume of 50 trees with height 75 meters and girth 2 meters is

V=50\times 3.2\times 75\times 2^{2}\\\\\therefore V=48000m^{3}

7 0
3 years ago
Other questions:
  • Please help!<br>What is the longest side of triangle TUV?
    12·1 answer
  • F(x)= -3x+5, find f(-6)
    5·2 answers
  • Correct answers only please!
    5·1 answer
  • “21 less than three-fifths of a number”
    10·1 answer
  • in a town, 11 000 people out of the total population of 50 000 are aged under 18. What percentage of the population is aged unde
    14·1 answer
  • Solve this pls!!! I need to turn it into <br>-3<br>_____<br>(x+2)(x-5)​
    10·1 answer
  • PLS HELP :( WILL GIVE BRAINLIEST+ 25 POINTS
    12·2 answers
  • What is three times the sum of a number and 8 is 6?
    13·1 answer
  • Look at the image. The School PTA spent 54% of its annual budget on sixth-grade
    7·1 answer
  • F(x) = |x+3| horizontal stretch by a factor of 4
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!