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kondor19780726 [428]
3 years ago
8

Will 50,48 and 14 form a right triangle​

Mathematics
2 answers:
alexgriva [62]3 years ago
8 0

Right triangles add up to 90 degrees

50+48+14=112 degrees

So no

mars1129 [50]3 years ago
5 0

Answer:

Step-by-step explanation:

Lets use the Pythagorean Theorem to check:

a^{2}+b^{2}=c^{2}\\14^{2} + 48^{2} = 50^{2} ?\\196+2304=2500?\\2500 = 2500

Both sides of our equation are the same, so 14, 48, and 50 can form a right triangle. Hope this answered your question :D

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Trains Two trains, Train A and Train B. weigh a total of 196 tons. Train A is heavier than Train B. The
aleksklad [387]

Answer:

Train A = 128

Train B = 68

Step-by-step explanation:

We can set up a system of equations for this problem

Let A = # of tons of Train A

Let B = # of tons of Train B

A + B = 196

A = B + 60

Now, we plug in A for the first equation, using substitution

(B+60) + B = 196

2B + 60 = 196

Subtract 60 from both sides

2B = 136

Divide both sides by 2

B = 68

Plug in 68 for B in the 2nd equation

A = 68 + 60

A = 128

Checking work: 128 + 68 = 196 :D hope this helped

5 0
2 years ago
Given that EFGH is a kite, what is m∠EHG?
yuradex [85]
Assuming angle F is 68°, angle H will be
.. 360° -2*102° -68° = 88° . . . . . . . . selection B
8 0
3 years ago
Read 2 more answers
7j + 5 - 8k when j = 0.5 and k = 0.25
tekilochka [14]

Answer:

I have no clue

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The bearing of Q from P is 150
Lynna [10]

Answer:

(i) see first attached diagram

(ii) QR = 22.67 km (2 dp)

(iii) 243°

Step-by-step explanation:

A bearing is the angle in degrees measured clockwise from north.

<u />

<u>Part (i)</u>

see first attached diagram

<u>Part (ii)</u>

The angles marked in blue on the second attached diagram are Consecutive Interior Angles.  In this case they add to 180° as the North lines are parallel.

The sum of angles around a point is 360°

⇒ m∠QPR (shown in red on the second attached diagram) = 360 - 150 - (180 - 15) = 45°        

To calculate the distance between Q and R (marked in red on the attached diagram), use the cosine rule.

⇒ QR² = PR² + QP² - 2(PR)(QP)cos(QPR)

⇒ QR² = 32² + 24² - 2(32)(24)cos(45)

⇒ QR² = 513.8839841...

⇒ QR = √513.8839841...

⇒ QR = 22.67 km (2 dp)

<u>Part (iii)</u>

We need to find the angle marked in green on the third attached diagram.

To do this, we need to find the angle marked in pink and the angle marked in orange, then subtract them from 360°

Pink angle = 180 - 150 = 30° (using the same consecutive angle theorem as before)

Orange angle (o) using the sine rule:

⇒ sin(o)/32 = sin(45)/QR

⇒ sin(o) = 32sin(45)/22.67

⇒ sin(o) = 0.9981652337...

⇒ o = 86.52868176...°

Therefore, the green angle = 360 - 30 - 86.52868176... = 243° (nearest degree)

8 0
2 years ago
A triangle has a base of 17 inches and a area of 127.5 square inches. What is the height of the triangle?
zmey [24]
We know that area=0.5*base*height.

Thus, the equation would look like:
127.5=0.5*base*height

That means, 255 = base*height.
We know base is 17
Then, we divide 255 by 17. That gets us the height.
The height equals 15.
8 0
3 years ago
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