All categories

3 years ago

Help ASAP: Find the length of RT

Mathematics

1 answer:

bixtya [17]3 years ago

8 0

Answer:

Step-by-step explanation:

the equation of a right triangle is x^2 + y^2 = z^2, where x and y are the legs and z is the hypotenuse

write the equations for triangles QTS and STR:

RT^2 + TS^2 = 40^2

7^2 + TS^2 = 25^2

then solve for RT:

RT^2 - 7^2 = 40^2 - 25^2 (subtract second equation from first)

RT^2 = 1024

RT = 32

You might be interested in

Can some one help me answer this

Andrews [41]

Yes, notice for every 10 degrees in Celsius you have 18 degrees Fahrenheit.

32 is the freezing point of water in F, and 0 is the freezing point of water in C.

So it is starting at freezing point, every time you add 10 in C you also add 18 to F.

They show the same temperature just on different scales.

7 0

3 years ago

Independent random samples of vehicles traveling past a given point on an interstate highway have been observed on monday versus

quester [9]

Hi!

To compare this two sets of data, you need to use a t-student test:

You have the following data:

-Monday n1=16; <span>x̄1=59,4 mph; s1=3,7 mph

-Wednesday n2=20; </span>x̄2=56,3 mph; s2=4,4 mph

You need to calculate the statistical t, and compare it with the value from tables. If the value you obtained is bigger than the tabulated one, there is a statistically significant difference between the two samples.

$t= \frac{X1-X2}{ \sqrt{ \frac{(n1-1)* s1^{2}+(n2-1)* s2^{2} }{n1+n2-2}} * \sqrt{ \frac{1}{n1}+ \frac{1}{n2}} } =2,2510$

To calculate the degrees of freedom you need to use the following equation:

$df= \frac{ (\frac{ s1^{2}}{n1} + \frac{ s2^{2}}{n2})^{2}}{ \frac{(s1^{2}/n1)^{2}}{n1-1}+ \frac{(s2^{2}/n2)^{2}}{n2-1}}=33,89$ ≈34

The tabulated value at 0,05 level (using two-tails, as the distribution is normal) is 2,03. https://www.danielsoper.com/statcalc/calculator.aspx?id=10

So, as the calculated value is higher than the critical tabulated one, we can conclude that the average speed for all vehicles was higher on Monday than on Wednesday.

5 0

3 years ago

We are throwing darts on a disk-shaped board of radius 5. We assume that the proposition of the dart is a uniformly chosen point

Vlad1618 [11]

Answer:

the probability that we hit the bullseye at least 100 times is 0.0113

Step-by-step explanation:

Given the data in the question;

Binomial distribution

We find the probability of hitting the dart on the disk

⇒ Area of small disk / Area of bigger disk

⇒ πR₁² / πR₂²

given that; disk-shaped board of radius R² = 5, disk-shaped bullseye with radius R₁ = 1

so we substitute

⇒ π(1)² / π(5)² = π/π25 = 1/25 = 0.04

Since we have to hit the disk 2000 times, we represent the number of times the smaller disk ( BULLSEYE ) will be hit by X.

X ~ Bin( 2000, 0.04 )

n = 2000

p = 0.04

np = 2000 × 0.04 = 80

Using central limit theorem;

X ~ N( np, np( 1 - p ) )

we substitute

X ~ N( 80, 80( 1 - 0.04 ) )

X ~ N( 80, 80( 0.96 ) )

X ~ N( 80, 76.8 )

So, the probability that we hit the bullseye at least 100 times, P( X ≥ 100 ) will be;

we covert to standard normal variable

⇒ P( X ≥ $\frac{100-80}{\sqrt{76.8} }$ )

⇒ P( X ≥ 2.28217 )

From standard normal distribution table

P( X ≥ 2.28217 ) = 0.0113

Therefore, the probability that we hit the bullseye at least 100 times is 0.0113

3 0

3 years ago

The penny size of a nail indicates the length of the nail. The penny size d is given by the literal equation d=4n−2, where n is

sleet_krkn [62]

D=4n-2, d+2=4n-2+2, d+2=4n
(d+2)/4=(4n)/4, 1/4d+1/2=n
n=1/4n+1/2

size 3=
n=1/4*3/1=3/4, 3/4+1/2=5/4=1 1/4
size 3=1 1/4

size 6=
n=1/4*6/1=6/4, 6/4+1/2=8/4=2
size 6=2

size 10=
n=1/4*10/1=10/4, 10/4+1/2=12/4=3
size 10=3

6 0

3 years ago

Read 2 more answers

What is the formula of a radius circle ?

UkoKoshka [18]

I assume you happen to mean, what is the formula for a circle.

The formula is:

A= $\pi r^{2}$

5 0

3 years ago

Read 2 more answers