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2 years ago

A

1 answer:

8 0

Alright, lets say the measure of the 3rd angle (the smallest one) is x degree, then measure of the 1st angle will be (x + 25) degree, and 2nd one: 3x degree. The sum of all the angles in any triangles is 180 degrees.

(x + 25) + 3x + x = 180

5x + 25 = 180 ---> 5x = 180 - 25 ---> 5x = 155 ---> x = 155/5 ---> x = 31o (third angle)

31 + 25 = 56o (first angle)

3 × 31 = 93o (second angle)

56 + 93 + 31 = 180

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An emergency room (ER) nurse noticed that there are an unusually high number of motor-vehicle accident injuries in the month of

Dmitrij [34]

4800 patients

Step-by-step explanation:

120 of 1000 means 12%

12% of 40000 is 4800

7 0

3 years ago

Compete the square to determine minum or maxuim value of function define by -x2+10x+5

HACTEHA [7]

Answer:

maximum value y = 30

Step-by-step explanation:

Given

- x² + 10x + 5

To complete the square the coefficient of the x² term must be 1

factor out - 1

= - (x² - 10x) + 5

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 10x

= - (x² + 2(- 5)x + 25 - 25) + 5

= - (x - 5)² + 25 + 5

= - (x - 5)² + 30 ← in vertex form

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Hence vertex = (5, 30)

The max/ min occurs at the vertex

Since a < 0 then vertex is a maximum

Hence maximum value is y = 30

3 0

3 years ago

What are 5 expressions that are equivalent to 12x4 exponent

ser-zykov [4K]

Given expression: 3x+9

Take 3 outside from the expression, we get,

= 3(x+3), which is called the equivalent expression

5 0

2 years ago

The statue of Liberty stands on a 150 ft. pedestal. From a point 250 ft. from the base of the

bekas [8.4K]

Answer:

148ft

Step-by-step explanation:

To solve this question, you'll have to imagine the statue makes a right angle triangle with the base since it has an angle of elevation from the base to the top of the torch.

Assuming the height from the pedestal to the top of the torch is y

The height of the statue is x

But we know the height of the pedestal = 150ft

The distance from the observer to the base of the pedestal = 250ft

And the angle of elevation = 50°

See attached document for better illustration.

Tanθ = opposite / adjacent

θ = 50°

Adjacent = 250

Opposite = y

Tan50 = t / 250

y = 50 × tan50

y = 50 × 1.1917

y = 297.925ft

The height of the statue from the base of the pedestal to the top of the torch is 297.925ft

The height of the statue = x

x = (height of the statue + height of the pedestal) - height of the pedestal

x = y - 150

x = 297.925 - 150

x = 147.925ft

Approximately 148ft

The height of the statue is 148ft

4 0

3 years ago

Simplify the expression 35e^9/5e^8

erastovalidia [21]

$\frac{35e {}^{9} }{5 {e}^{8} } \ \\ \\ \frac{7e {}^{9} }{e {}^{8} } \\ \\ \\ = 7e$

Step By Step Explanation:

Reduce: Reduce the fraction with 5
Simplify: Simplify the expression

Alternate Forms:

19.02797

<h3>☆彡Hanna</h3>

5 0

3 years ago