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4 years ago

A triangle has sides measuring 1.5 m, 2 m and 2.5 m. Show that this is a right-angled triangle.

Mathematics

1 answer:

Nady [450]4 years ago

7 0

Answer:

Yes, this is a right triangle

Step-by-step explanation:

Plug the values into the pythagorean thm.

1.5^2 + 2^2 = 2.5^2

2.25+4=6.25

6.25=6.25

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Solve the equation log^7b>2

ahrayia [7]

Answer:

b > 12.71

Step-by-step explanation:

Here in this question we have to solve the inequality equation given for b (An unknown variable}

Now, the equation is $(\log b)^{7} > 2$

⇒ $\log b > 2^{\frac{1}{7} }$

We are taking the base of the log here is 10.

So, $10^{(\log b)} > 10^{2^{\frac{1}{7} } }$ {Since $10^{\log x} =x$ and $e^{\ln x} = x$ }

⇒ b > 12.71 (Approximate) (Answer)

3 0

3 years ago

It took Amir 2 hours to hike 5 miles. On the first part of the hike, Amir averaged 3 miles per hour. For the second part of the

rjkz [21]

<h2>Answer:</h2>

The equation that will be used to find t is:

$3(2-t)+1.5t=5$

<h2>Step-by-step explanation:</h2>

Total distance that is traveled by Amir is: 5 miles.

and the total time taken by him is: 2 hours.

On the first part of the hike, Amir averaged 3 miles per hour.

Let t denote the time he spent hiking during the second i.e. difficult part of the hike.

Hence, the time he spent in first part of hike is: 2-t

( Since, the total time was 2 hours)

Also, we know that:

$Distance=Speed\times Time$

Hence, distance traveled in first part of hike is:

$Distance=3\times (2-t)$

Now, the distance he will travel in second part of hike will be: 5-3(2-t)

Since the total distance traveled by him is 5 miles.

It is given that his speed decreased to 1.5 miles per hour.

Now, we know that:

$Time=\dfrac{Distance}{Speed}$

Hence, time spent by him in second part of hike is:

$t=\dfrac{5-3(2-t)}{1.5}\\\\i.e.\\\\1.5t=5-3(2-t)\\\\i.e.\\\\3(2-t)+1.5t=5$

8 0

3 years ago

Read 2 more answers

How to convert 64 mm to fraction

natulia [17]

1m= 1000mm

so 64mm*1m/1000mm=64/1000m

7 0

3 years ago

Read 2 more answers

1) A furlong is 1/8 of a mile. What part of a mile is 6 furlongs?

Semmy [17]

Answer:

6/8 of a mile,

Step-by-step explanation:

if one furlong is 1/8 of a mile, the 6 shall be 1/8 added to itself 6 times, therefore it shall be 6/8.

5 0

3 years ago

Read 2 more answers

A juice stand in Montreal sells a quart of orange juice for 4.40CAN. If 1USD = 1.06CAN and 4 cups = 1 quart, how much will one c

Arte-miy333 [17]

Answer:

A cup of juice will cost 1.04 US dollars

Step-by-step explanation:

Here, we want to know the cost of one cup of juice in US dollars.

The cost of a quart of juice is Canada is 4.40CAN

now, since there are 4 cups in a quart, the cost of a cup of juice will be 4.40/4 = 1.10 CAN

Moving on;

We are told that 1 USD = 1.06 CAN ;

thus x usd = 1.10 CAN

1 * 1.10 = x * 1.06

x = 1.10/1.06

x = 1.037 which is approximately 1.04 USD

5 0

3 years ago

A triangle has sides measuring 1.5 m, 2 m and 2.5 m. Show that this is a right-angled triangle.​

A triangle has sides measuring 1.5 m, 2 m and 2.5 m. Show that this is a right-angled triangle.