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ryzh [129]
3 years ago
15

The sides of an isosceles triangle are 5, 5, and 7. Find the measure of the vertex angle to the nearest degree.

Mathematics
2 answers:
allochka39001 [22]3 years ago
8 0
You can use the cosine law with the formula:
a^2 = b^2 + c^2 - 2*b*c*cosA
With a = 5, b = 5, c = 7,
7^2 = 5^2 + 5^2 - 2*5*7*cosA
49 = 25 + 25 - 70*cosA
70*cosA = 25 + 25 - 49
70*cosA = 1
cosA = 1/70
A = arccos (1/70) = 89.18 deg = 89 deg
olga2289 [7]3 years ago
7 0

Answerino:

89 degrees

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julia-pushkina [17]

Answer:

c

Step-by-step explanation:

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5 0
2 years ago
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Find an equation of the line passing through the pair of points (2,3) and (5,9). Write the equation in the form Ax + By = C.
8090 [49]

Answer:

- 2x +  y  = - 1 , so the B is correct.

Step-by-step explanation:

+ Because of "the line passing through the pair of points (2,3) and (5,9)", that means the line has the equation y = ax + b where a = (9-3)/(5-2)= 6/3= 2

+ So the equation is y = 2x + b.

+ Then we replace x= 2 and y= 3 into y = 2x + b for finding  like:

3 = 2*2 + b or 3 = 4 + b, so we find b = 3 - 4 = - 1.

+ The equation of this line is y = 2x - 1 or in the form:

                                  2x - y - 1 = 0 (or -2x + y = -1)

Have a good day!

7 0
3 years ago
What is 1/2 X (6 X 4)+3 + 2 Please show your work
exis [7]

Answer:

<h2>17</h2>

Step-by-step explanation:

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

\dfrac{1}{2}\times\underbrace{(6\times4)}_{1}+3+2\\\\=\underbrace{\dfrac{1}{2}\times24}_{2}+3+2\\\\=12+3+2=17

4 0
2 years ago
The width of a rectangle measures (2h-6) centimeters, and its length measures (7h+8) centimeters. Which expression represents th
dedylja [7]

Answer:

18h +4

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w)  where l is the length and w is the width

  =2( 7h+8 + 2h-6)

Combine like terms

  = 2( 9h+2)

Distribute

   = 18h +4

4 0
2 years ago
Solve 4x - 3 = 18. Round to the nearest thousandth.
lorasvet [3.4K]

Answer:

x=5.250

Step-by-step explanation:

We have been given an equation 4x-3=18. We are asked to solve our given equation.

First of all, we will add 3 to both sides of our equation.

4x-3+3=18+3

4x=21

Now, we will divide both sides of our equation by 4.

\frac{4x}{4}=\frac{21}{4}

x=5.25

Upon rounding our answer to nearest thousandth (3 places after decimal) we will get,

x=5.250

Therefore, the solution for our given equation is x=5.250.

6 0
3 years ago
Read 2 more answers
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