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3 years ago

Pls Help Ill Give Brainlist

Mathematics

1 answer:

lesya692 [45]3 years ago

7 0

Answer:

$(\frac{1}{2}, - \frac{1}{2} )$

Step-by-step explanation:

The properties of circumcenter give that it lies at the midpoint of the hypotenuse if it is of a right triangle.

Now, the given triangle is a right triangle and the two ends of the hypotenuse WU are U(-3,2) and W(4,-3).

Therefore, the mid point of the hypotenuse WU will be given by $(\frac{-3 + 4}{2}, \frac{2 - 3}{2}) = (\frac{1}{2}, - \frac{1}{2} )$ .

Therefore, the circumcenter of the right triangle Δ UVW will be $(\frac{1}{2}, - \frac{1}{2} )$ . (Answer)

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2 trains leave from the same point and travel along straight tracks that differ in direction by 72ﾟ. If their speeds are 64 mile

Alinara [238K]

Answer:

34.44 miles

Step-by-step explanation:

Distance covered bty the two trains :

Distance = speed * time

Time = 30 minutes = 0.5hr

Distance of train 1 = 64 * 0.5 = 32 miles

Distance of train 2 = 52 * 0.5 = 26 miles

Included Angle = 72°

Using cosine rule :

a² = b² + c² - 2bcCosA

Let Distance between the trains after 30 minutes = a

a^2 = 32^2 + 26^2 - 2(32)(26) * Cos(72)

a^2 = 1700 - 514.20427

a^2 = 1185.7957

a = sqrt(1185.7957)

a = 34.435

a = 34.44 miles

5 0

3 years ago

Help please ASAP for 12pts

Phoenix [80]

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4 years ago

One measure of general health is your body mass index (BMI). Adults with a BMI between 18.5 and 24.9 are generally considered to

soldi70 [24.7K]

Answer: 0.1797

Step-by-step explanation:

Given : $\mu=24.5\ \ ; \sigma=1.2$

Let x be the random variable that represents BMI for adults in this country.

We assume that BMI for adults in this country is normally distributed.

Then, z-score for x=25.6 , $\because z=\dfrac{x-\mu}{\sigma}$

$\Rightarrow\ z=\dfrac{25.6-24.5}{1.2}\approx0.9167$

Using z-value table , we have

The probability that the person's BMI is more than 25.6 :

$P(x>25.6)=P(z>0.9167)=1-P(z\leq0.9167)\\\\=1- 0.8203413=0.1796587\approx0.1797$

Hence, the probability that the person's BMI is more than 25.6 = 0.1797

Hence, the probability that the person's BMI is more than 25.6 = 0.1796

Hence, the probability of the stick's weight being 2.23 oz or greater = 0.0174

5 0

4 years ago

If a and b are integers such that a2 − b2 = 100, what is the greatest possible value of a?

tatyana61 [14]

Answer:

Step-by-step explanation:

Question says that 'a' and 'b' are integers that implies we cannot have 'a' and 'b' in the form of decimals.

Now, lets expand the given equation:

$a^2-b^2=100$

$(a+b)(a-b)=100$

Lets say: $(a+b)=p$ , $(a-b)=q$

Let us consider the factor pairs of 100.

$(1 \times 100), (2 \times 50), (4 \times 25), (5 \times 20), (10 \times 10), (20 \times 5), (25 \times 4), (50 \times 2), (100 \times 1)$

Only factor pair $(2,50)$ gives us the integer values of 'a' and 'b'.

$a+b=50$ ....equation (1)

$a-b=2$ ........ equation (2)

adding equation 1 and 2, we get:

$2a=52$

$a=\frac{52}{2}=26$

$a-b=2$

Plugging the value of 'a' in the equation 2

$26-b=2$

$b=24$

So the greatest possible value of 'a' is 26.

5 0

4 years ago

A____ is a fixed position in space and has no dimensions or size. hins

amid [387]

Answer:

Point

Step-by-step explanation:

This is the definition of a point.

A "point" is a fixed position in space and has no dimensions or size.

Cheers.

6 0

3 years ago

Read 2 more answers