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Roman55 [17]
2 years ago
11

The perimeter of a triangle is34 ft. One side of the triangle is 2 times the second side. The third side is 6 ft longer than the

second side. Find the length of each side
Mathematics
1 answer:
dimaraw [331]2 years ago
7 0

Let the second side = x

The first side is 2x ( 2 times the second side)

The third side is x + 6 ( 6 feet longer than the second side)

Now you have: x + 2x + x + 6 = 34

Simplify to get:

4x + 6 = 34

Subtract 6 from both sides

4x = 28

Divide both sides by 4:

X = 7

1st side = 2x = 2*7 = 14 feet

2nd side = x = 7 feet

3rd side = x + 6 = 7 + 6 = 13 feet

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Find the solutions for a triangle with a = 16, c =12, and B = 63º.
maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}

b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}

b \approx 15.022

Angle A (Law of Cosine)

\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}

\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}

\cos A = 0.315

A= \cos^{-1} 0.315

A \approx 71.639^{\circ}

Angle C (Sum of internal angles in triangles)

C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}

C = 45.361^{\circ}

Hence, the right answer is B.

6 0
3 years ago
The amount of money Chaz earned for walking dogs is given in the table. Can the relationship be described by a constant rate? Ex
mojhsa [17]

Answer:

Yes, the relationship can be described by a constant rate of $18.75 per dog

Step-by-step explanation:

see the attached figure to better understand the problem

Let

x ----> the number of dogs

y ---> the amount of money earned

we have the points

(6,112,50), (8,150), (11,206.25)

step 1

Find the slope with the first and second point

(6,112,50), (8,150)

m=(150-112.50)/(8-6)=18.75

step 2

Find the slope with the first and third point

(6,112,50), (11,206.25)

m=(206.25-112.50)/(11-6)=18.75

Compare the slopes

The slopes are the same

That means, that the three points lies on the same line

therefore

Yes, the relationship can be described by a constant rate of $18.75 per dog

7 0
2 years ago
Each circle counts as one whole. Write a mixed number giving the amount shaded. Then, write this amount as an improper fraction.
ryzh [129]

Answer: 1 3/4 is your mixed fraction and 7/4 is the improper fraction.

Step-by-step explanation:

6 0
2 years ago
NO LINKS I WILL REPORT!!! But help PLSS It's possible to build a triangle with side lengths of 5, 7, and 11.
strojnjashka [21]

Answer:

yes it is possible

I hope it's helps you

8 0
3 years ago
Read 2 more answers
A radio talk show host asked listeners to respond either yes or no to the question, "Is the candidate who spends the most on a c
IgorLugansk [536]

Answer:

  • Implied population is all listeners of the radio talk show
  • the variable is opinion of a listener
  • Yes, bias is voluntary response. Those with the strongest opinions are most likely to call in.

Step-by-step explanation:

Radio talk show host asked listeners to respond therefore the population is all listeners of the radio talk show.

The variable is the response "yes" or  "no"

There is voluntary response bias, because the respondents are volunteered to answer, therefore sample is consisted of self-selected listeners.

3 0
3 years ago
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