All categories

2 years ago

Can you use the Pythagorean theorem to relate thethree sides of this triangle?

Mathematics

1 answer:

irina1246 [14]2 years ago

6 0

Answer:

You can use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle if you know the length of the triangle's other two sides, called the legs. You can use the Pythagorean Theorem to find a value for the length of c, the hypotenuse.

You might be interested in

The graph show the grades that students received on a test. What percent of the students received a grade of A ?

Tema [17]

Answer:

what graph..show the graph

Step-by-step explanation:

7 0

3 years ago

How ti find absolute value

andreyandreev [35.5K]

Absolute value describes how far away a number is from 0

The absolute value of a number is always positive even if you are looking at the absolute value of a negative number.

Examples
The absolute value of 6 = 6
The absolute value of -6 = 6

4 0

2 years ago

Solve 2|3x-4|+4=12 show your work

slamgirl [31]

Answer:

0.6

Step-by-step explanation:

2×3x+4+4=12

6X+8=12

6x=12-8

6x=4

Divide by 6

X=0.6

5 0

2 years ago

An aeroplane X whose average speed is 50°km/hr leaves kano airport at 7.00am and travels for 2 hours on a bearing 050°. It then

Zigmanuir [339]

Answer:

(a)123 km/hr

(b)39 degrees

Step-by-step explanation:

Plane X with an average speed of 50km/hr travels for 2 hours from P (Kano Airport) to point Q in the diagram.

Distance = Speed X Time

Therefore: PQ =50km/hr X 2 hr =100 km

It moves from Point Q at 9.00 am and arrives at the airstrip A by 11.30am.

Distance, QA=50km/hr X 2.5 hr =125 km

Using alternate angles in the diagram:

$\angle Q=110^\circ$

(a)First, we calculate the distance traveled, PA by plane Y.

Using Cosine rule

$q^2=p^2+a^2-2pa\cos Q\\q^2=100^2+125^2-2(100)(125)\cos 110^\circ\\q^2=34175.50\\q=184.87$ km$

SInce aeroplane Y leaves kano airport at 10.00am and arrives at 11.30am

Time taken =1.5 hour

Therefore:

Average Speed of Y

$=184.87 \div 1.5\\=123.25$ km/hr\\\approx 123$ km/hr (correct to three significant figures)$

(b)Flight Direction of Y

Using Law of Sines

$\dfrac{p}{\sin P} =\dfrac{q}{\sin Q}\\\dfrac{125}{\sin P} =\dfrac{184.87}{\sin 110}\\123 \times \sin P=125 \times \sin 110\\\sin P=(125 \times \sin 110) \div 184.87\\P=\arcsin [(125 \times \sin 110) \div 184.87]\\P=39^\circ $ (to the nearest degree)$

The direction of flight Y to the nearest degree is 39 degrees.

7 0

3 years ago

Find the percent of change: 100 acres to 140 acres

nydimaria [60]

Answer: 40%

Step-by-step explanation: First determine whether the number increases or decreases. Since the number changes from 100 to 140 it's getting bigger, so it increases.

To find the percent increase, we use the following formula.

The amount of change is the difference between the two numbers which is 40 and we get this by subtracting 100 from 140. The original number will be the number that we started with which is 100.

140/100 simplifies to 0<em>.</em>4.

Finally, we want the percent increase so we write 0<em>.</em>4 as a percent by moving the decimal point 2 places to the right to get 40%.

Therefore, the percent increase is 40%.

6 0

2 years ago