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2 years ago

¿Cuál de las siguientes fracciones es menor? 5/2 1/4 1/2 8/10

Mathematics

1 answer:

snow_lady [41]2 years ago

8 0

Answer:

$\frac{5}{2} = 2.5 \\ \frac{1}{4} = 0.25 \\ \frac{1}{2} = 0.5 \\ \frac{8}{10} = 0.8 \\ 0.25 < 0.5 < 0.8 < 2.5$

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Can someone help me, please? I need to find the value of x and y rounded to the nearest tenth. Thank you!

Pepsi [2]

Answer:

$x\approx 24.0,\\y\approx 46.4$

Step-by-step explanation:

Let the height of the largest triangle marked be $h$ . We can set up the following equation:

$\sin 30^{\circ}=\frac{h}{34},\\h=34 \sin 30^{\circ}=17$ (if you're unfamiliar with trig, this is likely introduced to you as 30-60-90 triangle rules)

This height is also a leg of a 45-45-90 triangle, as marked in the diagram. From the isosceles-base-theorem, the other leg of this triangle must also be equal to $h$ . Therefore, we can use the Pythagorean theorem to solve for $x$ :

$17^2+17^2=x^2\\x^2=\sqrt{17^2\cdot 2},\\x=17\sqrt{2}\approx \boxed{24.0}$ (you can also use trig or 45-45-90 triangle rules which are derived from the Pythagorean theorem)

Segment $y$ consists of two shorter segments, a left segment and a right segment. We've already found that the left segment is equal to 17. To find the right segment we can use trig, the Pythagorean theorem, or 30-60-90 triangle rules (derived from the Pythagorean theorem):

Using Pythagorean Theorem:

$y_{right}=\sqrt{34^2-17^2}\approx \boxed{29.4}$

Therefore, we have:

$y=17+29.4=\boxed{46.4}$

7 0

2 years ago

Complete the equation of variation where y varies inversely as x. one pair of values is y = 45 when x = 20.

Zielflug [23.3K]

Inversely proportional means y=k/x, whereas k is constant. hence when y=45,x=20
45=k/20
k=900
ans: y=900/x

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3 years ago

In July 1986, a Canadian tourist changed CAN $2500 of her Canadian Travellers’ cheques for Trinidad and Tobago currency. She was

Lorico [155]

The answer is $5,000.73.
Explanation: If one Canadian dollar bill is $1.00 and a Trinidad’s $1.00 is $2.73 then that means if you wanna convert it you have to double the amount including the €73 and you have 2,500 you need to double the amount then add the remaining €73.

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2 years ago

Evaluate pq÷4; use p=14, and q=14

AysviL [449]

so the right answer is 49

Look at the attached picture

Hope it will help you...

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2 years ago

You start driving north for 48 miles turn right and drive east for another 14miles at the end of driving what is your striaght l

padilas [110]

Answer: 50 miles

Step-by-step explanation:

a^2 + b^2 = c^2

48^2 = 14^2 = c^2

c^2 = 2500

c = 50

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3 years ago

¿Cuál de las siguientes fracciones es menor? 5/2 1/4 1/2 8/10​

¿Cuál de las siguientes fracciones es menor? 5/2 1/4 1/2 8/10