Ask question

Ask question

All categories

Aleonysh [2.5K]

3 years ago

15

A triangular piece of land has one of its angle equal to 90°.The area of this land is 330sq m.If one side adjacent to the right

angle is 11m what are the lengths of the other two sides

1 answer:

mart [117]3 years ago

6 0

Answer:

60 m, 61 m

Step-by-step explanation:

If "a" and "b" represent the lengths of the sides adjacent to the right angle, the area is ...

area = (1/2)ab

Filling in the given information, we can find the other side to be ...

330 m² = (1/2)(11 m)b

60 m = b . . . . . . divide by the coefficient of b

Then the remaining side can be found from the Pythagorean theorem:

c² = a² + b² = 11² + 60² = 3721

c = √3721 = 61 . . . meters

The lengths of the other two sides are 60 m and 61 m.

You might be interested in

Ravi drove 693 miles in 11 hours.

gregori [183]

Answer:

Step-by-step explanation:

Set up a proportion

693 miles / 11 hours = 315 miles / x hours

Notice that the numerators both have the same units (miles).

Cross multiply

693x = 11 * 315 Combine

693x = 3465 Divide by 693

x = 5

It will take him 5 hours to go 315 miles

4 0

3 years ago

The sum of two numbers is twenty-four. The difference of the two numbers is four.

RSB [31]

Answer:

$x + y = 24$

$x - y = 4$

Now, add these two equations.

You get,

$2x = 28$

$x = \frac{28}{2}$

$x = 14$

Given,

$x + y = 24$

$14 + y = 24$

$y = 24 - 14$

$y = 10$

You can test this to the other equation as well.

$x - y = 4$

$14 - 10 = 4$

Hence, the two numbers are 14 and 10.

3 0

3 years ago

What is the simplest form of 4/10 in fractions

Ugo [173]

2/5 is the answer because you have to divided by 2 both

8 0

3 years ago

Read 2 more answers

Emily can ride her scooter 18 miles in 50 minutes ) How long would it take for her to ride four miles.

Gennadij [26K]

Answer:

0.36

miles per minute

ithink

4 0

3 years ago

Read 2 more answers

Chord \displaystyle \overline{AB} AB is 12 inches from center \displaystyle OO. If the radius has a length of \displaystyle 1515

Leokris [45]

Answer:

18 inches

Step-by-step explanation:

Given

$r = 15in$ --- radius

$h = 12in$ --- distance between chord and the center of the circle

Required

The chord length

See attachment for illustration

First, calculate distance AX using Pythagoras theorem.

$AO^2 = AX^2 + OX^2$

This gives:

$15^2 = AX^2 + 12^2$

$225 = AX^2 + 144$

Collect like terms

$AX^2 = 225 - 144$

$AX^2 = 81$

Take square roots of both sides

$AX = 9$

AB is then calculated as:

$AB= AX + XB$

Where:

$AX=XB =9$

So:

$AB = 9 + 9$

$AB = 18$

4 0

3 years ago