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melisa1 [442]
4 years ago
10

For what value of c does the following system have an infinite number of solutions

Mathematics
1 answer:
NikAS [45]4 years ago
6 0
Is equally to 3x-y equal 10 why is this one of my best answer
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Answer these two questions
AVprozaik [17]

For PART A: the height of the pole in the right angle triangle is 30 ft and the correct option is C

For PART B: the lenght of wire 1 in the right angle triangle is 45 ft and the right option is D

<h3 /><h3>What is a right angle triangle?</h3>

A right-angled triangle is a polygon of three sides having one angle as 90 degrees(right angle).

Part A

To calculate the height of the pole in the right angle triangle, we use the formula below.

Formula:

  • tan∅ = opposite/adjacent

From the diagram,

Given:

  • ∅ = 41°
  • Opposite = Height of the pole = P
  • Adjacent = 34 ft

Substitute these values into equation 1 and solve for P

  • tan41° = P/34
  • P = 34×tan41°
  • P = 29.55
  • P ≈ 30 ft

Part B

Similarly, fine the length of wire 1, we use the formula below.

Formula:

  • cos∅ = Adjacent/Hypotenus.......... Equation 2

From the diagram,

Given:

  • Hypotenus = Wire 1 = x
  • ∅  = 41°
  • Adjacent = 34 ft

Substitute these values into equation 2 and solve for x

  • cos41° = 34/x
  • x = 34/cos41°
  • x = 45.05
  • x ≈ 45 ft

Hence, the height of the pole is 30 ft and the lenght of wire 1 is 45 ft.

Learn more about right angle triangle here: brainly.com/question/64787

#SPJ1

5 0
1 year ago
9. Seven less than twice a number is 43 Equation: Solution
GrogVix [38]

Answer:the number is 25

Step-by-step explanation:

2a-7=43

Collect like terms

2a=43+7

2a=50

Divide both sides by 2

2a/2=50/2

a=25

3 0
3 years ago
Write an expression that represents the perimeter of the figure below. Write your
sergij07 [2.7K]

Answer:

start by answering the question

Step-by-step explanation:

the answer is in the top right

5 0
3 years ago
I don’t really understand this can someone help please?
Sidana [21]

Answer:

23 degrees

Step-by-step explanation:

So basically you plug in -10x + 58 = 111 and then solve for x. You then plug x into 6x +41. Thats how you find the angle measure. Plz award brainliest

5 0
3 years ago
Read 2 more answers
Simplify. Evaluate the numerical bases. 3^2 b^2 c^-4 *3^-1 b^-5 c^7
photoshop1234 [79]
Hope I can be of assistance!

3^2b^2c^{-4}\cdot \:3^{-1}b^{-5}c^7 \ \textgreater \  \mathrm{Apply\:exponent\:rule}:\ \:a^b\cdot \:a^c=a^{b+c}
3^{-1}\cdot \:3^2=\:3^{2-1}=\:3^1=\:3 \ \textgreater \  3b^{-5}b^2c^{-4}c^7

\mathrm{Apply\:exponent\:rule}: \:a^b\cdot \:a^c=a^{b+c} \ \textgreater \  b^{-5}b^2=\:b^{2-5}=\:b^{-3}
3b^{-3}c^{-4}c^7

\mathrm{Apply\:exponent\:rule}: \:a^b\cdot \:a^c=a^{b+c} \ \textgreater \  c^{-4}c^7=\:c^{-4+7}=\:c^3
3b^{-3}c^3

\mathrm{Apply\:exponent\:rule}: \:a^{-b}=\frac{1}{a^b} \ \textgreater \  b^{-3}=\frac{1}{b^3} \ \textgreater \  3\cdot \frac{1}{b^3}c^3

\mathrm{Multiply\:fractions}: \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \  \frac{1\cdot \:3c^3}{b^3}

Finally
\mathrm{Apply\:rule}\:1\cdot \:a=a \ \textgreater \  \frac{3c^3}{b^3}

Hope this helps!
8 0
4 years ago
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