All categories

1 year ago

A right angled triangle has sides 12m and 5 m.what is the length of the hypotenuses of this triangle?

Mathematics

2 answers:

IrinaK [193]1 year ago

5 0

Answer:

13 m

Step-by-step explanation:

Given: sides of the right triangle are 12 m and 5 m

To find: Length of hypotenuse

By Pythagoras Theorem:

$l(hypotenuse)=\sqrt{12^2+5^2}$

$\implies l(hypotenuse)=\sqrt{144+25}$

$\implies l(hypotenuse)=\sqrt{169}$

$\implies l(hypotenuse)=13\: m$

WITCHER [35]1 year ago

4 0

12^2 + 5^ = c^2

144 + 25 = c^2

169 = c^2

13=c

You might be interested in

3/4 = x/60 what is the value of x in this equation?

OleMash [197]

Answer:

X=45

Step-by-step explanation:

60 divided by 4 equals 15, so you must multiply 3 by 15 then you get the answer of X.

5 0

3 years ago

A physical fitness association is including the mile run in its secondary school fitness test. The time for this event for boys

Ierofanga [76]

Answer:

A) 0.0107

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 440 seconds and a standard deviation of 40 seconds.

This means that $\mu = 440, \sigma = 40$

Find the probability that a randomly selected boy in secondary school can run the mile in less than 348 seconds.

This is the p-value of Z when X = 348. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{348 - 440}{40}$

$Z = -2.3$

$Z = -2.3$ has a p-value of 0.0107, and thus, the correct answer is given by option A.

6 0

2 years ago

Pls pls help me with this essay. I don’t know how to start pls help me I have other homework to do. Just read the question

Pavel [41]

Answer:

First consider the original amount.

Then consider the rate of tax or markup

To find the tax or markup, multiply the rate by the original amount.

To find the total cost, add the tax or markup to the original amount.

Step-by-step explanation:

Example

A phone has a listed price of $790 before tax. If the sales tax rate is 6.5% find the total cost of the phone with sales tax included. Round your answer to the nearest cent as required.

Solution

Step 1:

List price of the phone = $790

Sales tax rate = 6.5%

Step 2:

Sales tax = 6.5% of 790=0.065×790=51.35

Step 3:

Total cost of phone including sale tax = list price + sales tax

= 790+51.35

= $841.35

hope this helped!

7 0

2 years ago

Which of the following sets of numbers could be the lengths of the sides of a triangle?

katrin2010 [14]

A 7.4cm, 10.5cm, 15.5 cm

5 0

2 years ago

HELP!!! i am stuck here

irina1246 [14]

Answer:

<em>2.5 hours</em>

<u>Skills needed: Speed, distance, time problems</u>

Step-by-step explanation:

1) We are given speed and distance, and have to find out the the time (in hours).

- In terms of units, everything is matched up (Since distance and speed use kilometers, and speed and time use hours).

- Time is always the distance you travelled (how far) divided by how fast you travelled (the rate/speed)

---> We can use the formula for time: $t=\frac{d}r$

t= time

d=distance

r=rate/speed

2) Now, let's plug in for distance and rate.

---> $t=\frac{7.5}{3} = 2.5$

2.5 hours is the answer.

4 0

2 years ago