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Dima020 [189]
2 years ago
10

By finding tan θ in 2 different triangles find the value of m

Mathematics
1 answer:
olga nikolaevna [1]2 years ago
5 0

Answer:

<u>m = 3.75</u>

Step-by-step explanation:

  • tanθ = 3/4
  • θ = 37°

⇒ Angle opposing 3 in the left triangle is 53°

  • sin53° ⇒ 4/5 = 3/m
  • 4m = 15
  • m = 15/4
  • <u>m = 3.75</u>

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Step-by-step explanation:

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Please help I dont know what to do!!!
Olenka [21]
Hey John

Let's start solving #1

x/4 = 3.5/28
Cross multiply
(x)(28) = (3.5)(4)
28x = 14
Divide both sides by 28
28x/28 = 14/28
x = 1/2

Next, let's solve the second one

\frac{3}{5} +  \frac{4}{5x} +  \frac{7}{10x} + 1 \frac{1}{2} = 5 \frac{3}{5}
Simplifies to:
\frac{105x+75}{50x} =  \frac{28}{5}
Cross multiply
(105x + 75)(5) = (28)(50x)
525x + 375 = 1400x
Subtract 1400x to both sides
525x + 375 - 1400x = 1400x - 1400x
-875x + 375 = 0
Then subtract 375 from both sides
-875x + 375 - 375 = 0 - 375
-875x = -375
To find x, divide both sides by -875
-875x/-875 = -375/-875
x = 3/7

Let me know if you have questions about the answer.

Best of luck with your studies!

6 0
4 years ago
Subtract 3 from 5, then multiply 4 ​
pickupchik [31]

Answer:

8

Step-by-step explanation:

5-3=2

2×4=8

have a great day

3 0
4 years ago
What is the answer 1/3 (9x+3) = 3x + 1
Harman [31]

Answer:

All real numbers are solutions to this equation

Step-by-step explanation:

\frac{9x+3}{3} =3x+1\\\frac{3(3x+1)}{3} =3x+1\\3x+1=3x+1

3 0
3 years ago
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