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mestny [16]
3 years ago
12

The length of the hypotenuse of a 30 60 90 triangle is 11. What is the perimeter?

Mathematics
1 answer:
valentina_108 [34]3 years ago
5 0

Answer:

Perimeter of the triangle is 26.015\\ units

Step-by-step explanation:

Given a 30-60-90 degree angled triangle  

Let us calculate the length of side opposite the 30 degree angle

= \frac{1}{2} *hypotenuse

= \frac{1}{2} * 11\\= 5.5 units

length of side opposite the 60 degree angle

= 5.5 * \sqrt{3} \\= 5.5 * 1.73\\= 9.515 units

The perimeter of a triangle is equal to the sum of length of all three sides

Thus, the perimeter of this 30-60-90 degree angled triangle  is

11 + 5.5 + 9.515\\= 26.015\\ units

Thus, the  perimeter of the triangle is 26.015\\ units

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Rewrite the function by completing the square f(x)=x^2-4x-26
leonid [27]

Answer:

(x - 2)² - 30

Step-by-step explanation:

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 4x

f(x) = x² + 2(- 2)x + 4 - 4 - 26 = (x - 2)² - 30

8 0
3 years ago
The function C(x) = 25x + 50 represents the labor cost (in dollars) for Certified Remodeling to build a deck, where x is
Whitepunk [10]

Answer:

  • Master Remodeling

Step-by-step explanation:

<em>Original question is attached</em>

<h3>Option 1</h3>
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<h3>Option 2</h3>
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As we see the second option is cheaper so we should hire the Master Remodeling

5 0
3 years ago
Work out 77 % of 775.66 m Give your answer rounded to 2 DP.
Zinaida [17]

Answer:

597.25 m

Step-by-step explanation:

We need to find 77% of 775.66 m.

It can be calculated as follows :

77\%\times 775.66\\\\=\dfrac{77}{100}\times 775.66\\\\=597.25\ m

So, 77% of 775.66 m is equal to 597.25 m.

6 0
3 years ago
I walk each day to school. By what percentage would I need to increase my usual average speed in order for the journey to take 2
lesya692 [45]

Answer:

25%

Step-by-step explanation:

Let v, t be the current average speed and the time taken to reach the school respectively.

As distance = speed x time, so,

distance, d=vt...(i)

Let V be the new average speed in order to to take 20% less time than t.

So, time taken with speed V = t-20% of t = t- 0.2t= 0.8t

As distance is constant, so

d= V(0.8t)= 0.8Vt

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0.8Vt = vt

0.8 V = v

V= v/0.8=1.25v

Therefore, the percentage increase in the average speed = \frac{V-v}{v}\times 100

=\frac{1.25v-v}{v}\times 100

=25%

Hence, the percentage increase in the average speed is 25%.

8 0
3 years ago
What is a reflex angle?
jarptica [38.1K]
A reflex angle is the larger angle, it’s always more than 180* (half a circle) but less then 360* (a full circle).
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3 years ago
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