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otez555 [7]
2 years ago
15

There is a triangle with measures of 5, 12, 14. Is this a right triangle? Why or why not?

Mathematics
1 answer:
AlladinOne [14]2 years ago
5 0

Answer:

no,it isnt,

Step-by-step explanation:

pythagoras property of right angle:

height sq + base square = hypotenuse sq

5*2+12*2=14*2

25+144=196 which is wrong

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Factorise y^2 - 16<br> (y squared)
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y^2-16=y^2-4^2=(y-4)(y+4)\\\\\text{used}\ a^2-b^2=(a-b)(a+b)

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Suppose a new car is purchased for $46,357 and depreciates by 22% over the first year of ownership. If the car is driven 12,170
miss Akunina [59]

Answer:check the pic

Step-by-step explanation:

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3 years ago
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For women aged 19-24, systolic blood pressures (in mm Hg) are normally distributed with a mean of 114.8 and a standard deviation
Mrac [35]

Answer: p = 0.00714

Step-by-step explanation:

Since the population standard deviation of the distribution is known, the z test ( which produces the z score) is the perfect test for finding the probability of the data set in the question.

From the question,

Population mean (u) = 114.8

Sample mean (x) = 121.5

Population standard deviation (σ) = 13.1

Sample size (n) = 23

The z score formulae is given below as

Z = x - u/σ/√n

Z = 121.5 - 114.8/(13.1/√23)

Z = 6.7/(13.1/√23)

Z = 6.7/2.731

Z = 2.45.

The question is interested in knowing the probability of mean systolic blood pressure greater than 121.5.

This implies that we are looking for the probability at which our z score is greater than 2.45: P(z>2.45)

The z score (z=2.45) has divided the distribution into two regions, z< 2.45 ( area to the left of the distribution) and z>2.45 ( area to the right of distribution).

Hence, p(z>2.45) + p(z<2.45) = 1

To get a the probability, we have to use a standard normal distribution table.

The table we have here gives probability of the distribution to the left ( that's area towards the left), hence we need to find p(z<2.45) first

From the table p(z<2.45) = 0.99286

But p(z>2.45) = 1 - p(z<2.45)

p(z>2.45) = 1 - 0.99286

p(z>2.45) = 0.00714

8 0
3 years ago
Easton went to a concert with some of his friends. The tickets cost $29.50 each, and they spent a total of $15 on parking. The t
grigory [225]

Answer:

Step-by-step explanation:

part one:

133-15= x

x= the amount of friends=118

part two:

118 divided by 29.50.

Easton took 3 friends with him to the concert.

4 0
2 years ago
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1. The equation of a circle is x^2 + y^2 + 6x - 4y + 4 = 0. What are the center and the radius of the circle? Show ALLLLLL your
Novosadov [1.4K]

Answer:

(2, -3) and r = 3.

Step-by-step explanation:

you can also plug this equation in desmos but I guess it's good to know how to do it also:

The equation of a circle is (x-h)^2 + (y-k)^2 = r^2

Now in order to make a perfect square on both sides, we need to do this:

First add 9 to both sides:

x^2 + 6x + 9 + y^2 -4y +4 = 9.

I purposely shifted it to show the perfect square created when you add 9 to both sides. Factor:

(x+3)^2 + y^2 - 4y + 4 = 9.

now the second bolded part is allso a perfect square. Factor:

(x+3)^2 + (y-2)^2 = 9

Based on the equation of a circle, the center must be at (2, -3) and the radius is the square root of 9 which is 3.

:)

8 0
2 years ago
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