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Hatshy [7]
2 years ago
14

What is the length of the missing side AB?

Mathematics
2 answers:
Marina CMI [18]2 years ago
7 0

Answer: 72.6 cm

Step-by-step explanation:

Since we know the two sides and one angle, we would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and C is the angle corresponding to AB.

AB² = 38² + 83² - 2(38 × 83)Cos61

AB² = 1444 + 6889 - 2(3154)0.4848

AB² = 8333 - 3058.1184

AB² = 5274.8816

Taking square root of both sides, it becomes

AB = √5274.8816

AB = 72.6 rounded up to the nearest tenth

sladkih [1.3K]2 years ago
5 0

Answer: 72.6

Step-by-step explanation: c = √b2 + a2 - 2ba·cos(C) = 72.6

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The graphs below have the same shape. What is the equation of the blue<br> graph?
Andru [333]

Answer:

The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3)

2

+1 . Below is the explanation

Step-by-step explanation:

Given:

The graph of f(x)=x^{2}x

2

To find:

The equation of the transformed graph g(x).

The red graph f(x) is moved right 3 units and up 1 unit to get g(x).

When graph is moved right 3 units , 3 should be subtracted with x.

When graph is moved up 1 unit, 1 is added at the end.

So, our g(x)=(x-3)^{2} +1(x−3)

2

+1

The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3)

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7 0
1 year ago
You are planning to give you're a regale birthday surprise this coming 12 of July as she about to celebrate her 50th birthday. T
velikii [3]

All functions have an inverse expression.

  • The cost function is: \mathbf{C(x) = 40000 + 100x}.
  • The inverse function is: \mathbf{C'(x) = 0.01x - 400 }

From the question, we have the following observations:

  • Base fare = 50000 pesos for first 100
  • Additional guest = 100 pesos

So, the cost function would be:

\mathbf{C(x) = 50000 + (x - 100) \times 100}

Where: x represents the number of guests, and C(x) represents the cost function

Expand

\mathbf{C(x) = 50000 + 100x - 10000}

Evaluate like terms

\mathbf{C(x) = 40000 + 100x}

To calculate the inverse function, we have:

\mathbf{C(x) = 40000 + 100x}

Replace C(x) with y

\mathbf{y = 40000 + 100x}

Swap x and y

\mathbf{x = 40000 + 100y}

Subtract 40000 from both sides

\mathbf{x - 40000 = 100y}

Divide both sides by 100

\mathbf{\frac{x - 40000}{100} = y}

Rewrite as:

\mathbf{y= \frac{x - 40000}{100} }

Split

\mathbf{y= \frac{x}{100} - \frac{40000}{100} }

\mathbf{y= 0.01x - 400 }

Hence, the inverse function is: \mathbf{C'(x) = 0.01x - 400 }

Read more about functions and inverse at:

brainly.com/question/10300045

3 0
2 years ago
write an equation in y=mx+b for a line that passes through (3,-4) &amp; has a slope of -3. you can write it in point-slope and c
dedylja [7]
Y = -3x + b
Plug in point
-4 = -3(3) + b
-4 = -9 + b, b = 5
Solution: y = -3x + 5
5 0
3 years ago
WHAT IS THE ANSWER FOR 12 1/3 + 8 3/4 +17 2/8 +23 2/3=
gulaghasi [49]
12  \dfrac{1}{3}  + 8  \dfrac{3}{4}  +17  \dfrac{2}{8}  +23  \dfrac{2}{3}

Simplify
= 12  \dfrac{1}{3}  + 8  \dfrac{3}{4}  +17  \dfrac{1}{4}  +23  \dfrac{2}{3}

Change the denominators to be the same
= 12  \dfrac{1 \times 4}{3 \times 4}  + 8  \dfrac{3 \times 3}{4 \times 3}  +17  \dfrac{1 \times 3 }{4 \times 3}  +23  \dfrac{2 \times 4}{3 \times 4}

= 12  \dfrac{4}{12}  + 8  \dfrac{9}{12}  +17  \dfrac{3 }{12}  +23  \dfrac{8}{12}

Combine into single fraction
= 60  \dfrac{24}{12}

= 62

6 0
2 years ago
How many six digit even numbers can be formed that don't end in 0?
Fudgin [204]
1st digit: 9 possibilities (can’t have 0)
2nd digit: 10 possibilities
3rd digit:10
4th digit:10
5th digit:10
6th digit: 4 possibilities (it can only be even)
9•10•10•10•10•4 =360,000 possibilities
8 0
3 years ago
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