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vova2212 [387]
4 years ago
9

If a leg of a 45-45-90 triangle is 11 then the hypotenuse is...

Mathematics
2 answers:
Mumz [18]4 years ago
5 0

Answer:

a) 11

Step-by-step explanation:

iragen [17]4 years ago
3 0

Answer:

c)11√2

Step-by-step explanation:

Given that two of the angles are equal ,each measuring 45 degrees then two legs will be equal as well each measuring 11 units. We have a right angled triangle with two sides given and we are required to determine the hypotenuse. We use Pythagoras theorem;

hypotenuse^2 = 11^2 + 11^2

hypotenuse ^2 = 242

hypotenuse = \sqrt{242}

hypotenuse = 11\sqrt{2}

You might be interested in
In ΔFGH, the measure of ∠H=90°, the measure of ∠G=75°, and FG = 24 feet. Find the length of HF to the nearest tenth of a foot.
chubhunter [2.5K]

Answer:

HF ≈ 23.2 ft

Step-by-step explanation:

Using the sine ratio in the right triangle.

sin75° = \frac{opposite}{hypotenuse} = \frac{HF}{FG} = \frac{HF}{24}

Multiply both sides by 24

24 × sin75° = HF , thus

HF ≈ 23.2 ft ( to the nearest tenth )

4 0
3 years ago
6 7/8 + 5 3/4 = what
Shtirlitz [24]

Answer:

12\frac{5}{8}

Is your answer, have a good day

6 0
3 years ago
Ajay bought a fan and a heater for rs 4000. He sold the fan at a profit of a 25% and the heater at a loss of 5%. If he gained 7%
Alborosie

Answer: Heater -Rs 2400; Fan- Rs 1600

Step-by-step explanation:

Given

Ajay bought a fan and a heater for Rs 4000

Suppose the price of fan is x and that of heater is 4000-x

Profit on the fan is 0.25x

Loss on heater is 0.05\times (4000-x)

Total profit is 7% i.e. 0.07\times 4000

\therefore 0.07\times 4000=0.25x-0.05(4000-x)\\\Rightarrow 280=0.25x-200+0.05x\\\Rightarrow 480=0.3x\\\Rightarrow x=1600

Thus, the price of heater is 4000-1600=Rs.\ 2400

Price of fan is Rs.\ 1600

Price of heater is Rs.\ 2400

8 0
3 years ago
Question 16 (5 points)
siniylev [52]

Answer:

D.  17.

Step-by-step explanation:

The nth term of an arithmetic sequence (an) is a1 + d(n - 1) where a1 = first term and d = the common difference.

In this sequence d = a2 - a1 = 5 - 2 = 3.

a6 = 2 + 3(6 - 1)

= 2 + 3*5

= 17.

3 0
3 years ago
You pay 12,000 dollars in a rent each year, how much money do you pay each month?
erica [24]

Answer:

1000

Step-by-step explanation:

7 0
3 years ago
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