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3 years ago

A triangle has sides with lengths of 6 miles, 14 miles, and 15 miles. Is it a right triangle?

Mathematics

1 answer:

maks197457 [2]3 years ago

5 0

Answer:

the triangle is not right angled traingle

Step-by-step explanation:

For a right angle triangle

$a^{2}$ + $b^{2}$ = $c^{2}$ where a is the base , b is the height and c is the hypotenuse

taking a= 6 b = 14 and c = 15

hence $6^{2}$ + $14^{2}$ = $15^{2}$

36+196 = 232 which is not equal to 225

therefore the triangle is not right angled traingle

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5000 people attend 1 movie each in one week. Regular show ticket is $9.50 and matinee tickets are $7. The total amount spent was

yuradex [85]

Answer:

1400

Step-by-step explanation:

Given: Cost of Regular ticket = $9.50

Cost of Matinee tickets= $7

Total number of people= 5000

Total spending in watching movie= $44000.

Lets assume total number of people attended matinee be "x".

∴ Number of people attended Regualr show= $(5000-x)$

We know, total cost= $Price\ of\ each\ ticket \times number\ of\ people$

Now, forming an equation to show total spending on tickets.

⇒ $\$ 9.50(5000-x)+ \$ 7x= \$ 44000$

Using distributive property of multiplication to multiply 9.50 with 5000 and -x.

⇒ $47500-9.50x+7x= 44000$

⇒ $47500-2.5x= 44000$

Adding both side by 2.5x

⇒ $47500 = 44000 + 2.5x$

subtracting both side by 44000

⇒ $3500= 2.5x$

Dividing both side by 2.5

⇒ $x= \frac{3500}{2.5}$

∴ $x= 1400$

Hence, number of people attended the matinee show are 1400.

7 0

3 years ago

A volcanic cone has a diameter of 300 meters and height of 150 meters. What is the volume of the cone?

marusya05 [52]

So a diameter is twice the radius
The formula is:
V = π(r^2)(h/3)
the half of 300 is 150, so the radius is 150
V = π(150^2)(150/3)
V = π(22500)(50)
V is about <span>3534291.74</span>

8 0

3 years ago

Lenora is using the recipe shown to make salad dressing for a salad.She wants to make 20 batches of the recipe.How much vegetabl

Colt1911 [192]

She is using 1/3 of vegatable oil and 1/4 of vinegar.

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3 years ago

Please someone help me with this question

const2013 [10]

Basically something like this

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2 years ago

What is the slope of the line that passes through the given points (3 2) and (5 12)

Anika [276]

Find slope by finding the change in y over the change in x, or rise over run.

12-2/5-3
10/2
5

Final answer: A

5 0

3 years ago