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Wittaler [7]
3 years ago
9

Which expression represents the length of the hypotenuse, c, of the triangle below?

Mathematics
2 answers:
telo118 [61]3 years ago
8 0

Answer:

C) c=\sqrt{a^{2} +b^{2} }

Step-by-step explanation:

The Pythagorean Theorem states that for a right triangle, the relationship between its three sides is a^{2} +b^{2} =c^{2} where a and b are side lengths and c is the length of the hypotenuse. This means that the length of the hypotenuse is c=\sqrt{a^{2} +b^{2} } by taking the square root of both sides to solve for c, making option C correct.

nlexa [21]3 years ago
5 0
Square root a^2 + b^2
The third one from the right
You might be interested in
3.
zhenek [66]

Answer:

A)

Step-by-step explanation:

length = x +x + 2 = 2x + 2

Width = 2+ x

Area of rectangle = length *width

(x +2)(2x + 2) = 110

Use FOIL method

x*2x + x*2 + 2*2x + 2*2 = 110

2x² + <u>2x + 4x</u> + <u>4 - 110</u> = 0   {Combine like terms}

2x² +6x - 106 = 0

a = 2 ; b = 6 ; c = -106

b² - 4ac = 6² - 4*2*(-106)

             = 36 + 848

             = 884

\sqrt{b^{2}-4ac}=\sqrt{884}= 29.73

x =\dfrac{-b+\sqrt{b^{2}-4ac}}{2a} \ ; \ x==\dfrac{-b-\sqrt{b^{2}-4ac}}{2a}\\\\x = \dfrac{-6+29.73}{2*2} \ ; \ x =\dfrac{-6-29.73}{2*2} \ this \ is \  ignored \ as \ it \ is \  negative\\\\x=\dfrac{23.73}{4};

x = 5.93 m

5 0
3 years ago
How do you solve this equation?
Ivenika [448]
To solve this question, what you would need to do is add 30 to both sides of the equation and then divide by 9, to find the solution.

You can check if it is correct by substituting the same value back into the original equation and seeing if the left hand side is equal to the right hand side.
7 0
3 years ago
Read 2 more answers
20 mountains and where they are found in the world​
Serga [27]

Answer:

20. Nuptse, Mahalangur Himalaya

It is located in the Mahalangur range in the Khumbu region and is one of the mountains surrounding Mount Everest.

19. Distaghil Sar, Hispar Karakoram

This peak is located in the Karakoram range of the Gilgit-Baltistan region of Pakistan. Dishtaghil Sar is almost three kilometers wide and 7884 meters in height.

18. Himalchuli, Manaslu Himalaya

The Himalchuli peak is a part of Nepal Himalayas and prevails south of Mount Manaslu, one of the world’s highest mountains. Himalchuli has the second-highest summit in its mountain range, i.e., Mansiri Himalaya, at the height of 7892 meters. Hisashi Tanabe of Japan was the first person to have climbed it in 1960.

17. Gasherbrum IV, Baltoro Karakoram

Gasherbrum IV is one of the peaks in the Gasherbrum mountain range, as the name suggests, and is located in Pakistan. It is at the north-east end of the Baltoro Glacier in the Karakoram range of the greater Himalayas. The rest of the three peaks located in the Gasherbrum range are well above 8000 meters, while this peak is about 7932 meters in elevation.

16. Annapurna II, Annapurna Massif

At 7934 m high, Annapurna II lies in the eastern ranges of the Annapurna range, and quite contrary to the common belief in people, it is an independent peak. The first ascent of this peak was made by Richard Grant, Chris Bonington, and Ang Nyima Sherpa in 1960 and has seen very few ascents since.

15. Gyanchung Kang, Mahalangur Himalaya

Gyanchung Kang lies between two of the tallest mountains globally, both of which are above 8000 meters, namely, Cho Oyu and Everest. It is part of Mahalangur Himalaya while it spreads between Nepal and Tibet Autonomous Region of China. It is 7952meters in height.

14. Shishapangma, Jugal Himal

All the mountains listed from here onwards are above an altitude of more than 8000 meters. It is located between Tibet and Nepal. It lies in the restricted area that foreigners are not permitted to visit on security grounds.

Mount Lhotse

13. Gasherbrum II or K4, Baltoro Karakoram

Gasherbrum II lies above Gasherbrum III, and as mentioned above, it is located in the Karakoram range. The 8035-meter peak was first climbed in 1956 by an Austrian climber.

12. Broad Peak or K3, Baltoro Karakoram

The broad peak at 8051 meters is the 12th highest mountain and is also popularly known as Falchan Kangri.

11. Gasherbrum I or Hidden Peak or K5, Baltoro Karakoram

The name was hidden peak due to the extreme remoteness in which it is located. Pete Schoning and Andy Kauffman, who were part of an eight-member American team, were the first to climb this 8080-meter peak in 1956.

10. Annapurna I, Annapurna Massif

The main peak of Annapurna I is the tenth tallest mountain in the world with an altitude of 8091 meters.

9. Nanga Parbat, Nanga Parbat Himalayas

It is also known by the name of “Killer Mountain” because it has one of the highest numbers of deaths and unsuccessful expeditions simultaneously; it has never been climbed during the winter.  Located in the Diamer District of Gilgit-Baltistan, Pakistan, Nanga Parbat is the western anchor of the Himalayas.

8. Manaslu, Manaslu Himal

It lies in the Himalayas’ Gorkha district and is in very close proximity to the Annapurna range. Manaslu stands at 8163 meters.  Located in the Diamer District of Gilgit-Baltistan, Pakistan, Nanga Parbat is the western anchor of the Himalayas.

7. Dhaulagiri I, Dhaulagiri Himal

It is the highest point in the Kali Gandaki river valley. This massif is bounded on the north and southwest by tributaries of the Bheri River and on the southeast by the Myagdi Khola.

6. Cho Oyu, Mahalangur range Himalaya

Cho Oyu is usually considered the easiest of the 8000-meter peaks due to the moderate slopes and passes nearby. Nepal (Province No. 1)–China (Tibet)

5. Makalu, Mahalangur range Himalaya

Despite being part of the Mahalangur range, Makalu is an isolated peak shaped like a four-sided pyramid.  It is located in the Mahalangur Himalayas 19 km southeast of Mount Everest, on the border between Nepal and Tibet Autonomous Region, China.

4. Lhotse, Mahalangur Range Himalaya

Part of the Everest massif, Lhotse is connected to the latter peak via the South Col. Lhotse means "South Peak" in Tibetan

3. Kangchenjunga, Kangchenjunga Himalaya

In a section of the Himalayas called Kangchenjunga Himal delimited in the west by the Tamur River, in the north by the Lhonak Chu and Jongsang La, and in the east by the Teesta River.

2. K2 /Chhogori/Godwin Austen, Baltoro Karakoram

The Baltistan region of Pakistan is home to the highest point in both the Karakoram range and the nation in the form of K2.

1.Sagarmatha /Chomolungma/ Mount Everest /, Mahalangur Range Himalaya

Mount Everest or Sagarmatha, as it is called in Nepal, and Chomolungma is known in Tibet.

Step-by-step explanation:

Hope this helps :)

8 0
3 years ago
Data consistent with summary quantities in the article "Effects of Fast-Food Consumption on Energy Intake and Diet Quality Among
Olegator [25]

Answer:

a) X[bar]₁=  1839.20 cal

b) X[bar]₂= 1779.07 cal

c) S₁= 386.35 cal

Step-by-step explanation:

Hello!

You have two independent samples,

Sample 1: n₁= 15 children that did not eat fast food.

Sample 2: n₂= 15 children that ate fast food.

The study variables are:

X₁: Calorie consumption of a kid that does not eat fast food in one day.

X₂: Calorie consumprion of a kid that eats fast food in one day.

a)

The point estimate of the population mean is the sample mean

X[bar]₁= (∑X₁/n₁) = (27588/15)= 1839.20 cal

b)

X[bar]₂= (∑X₂/n₂)= (26686/15)= 1779.07 cal

c)

To calculate the sample standard deiation, you have to calculate the sample variance first:

S₁²= \frac{1}{n_1-1}[∑X₁² - (( ∑X₁)²/n₁)]= \frac{1}{14} + [52829538 - (\frac{27588^{2} }{15}) = 149263.4571 cal²

S₁= 386.35 cal

I hope it helps!

7 0
3 years ago
Yuki walked and ran for 3 1/4 hours at an average of 4 miles per hour. How far did she go?
ch4aika [34]

Answer:

13 miles

Step-by-step explanation:

3 1/4 can be changed to 3.25

Then multiply 3.25 (the time) and 4 (the distance per hour) to get 13.

3 0
3 years ago
Read 2 more answers
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