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3 years ago

How do I find the length of the third side of the triangle

Mathematics

1 answer:

Stels [109]3 years ago

8 0

U can use the Pythagorean theorem which is (a^2 + b^2 = c^2) It'll help you a lot

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Help pls need answer asap

Varvara68 [4.7K]

Answer:

Carl traveled 281.25 km by bus and 1,618.75 km by plane.

Step-by-step explanation: v1 = 60 km/h average speed by bus to Toronto

v2 = 700 km/h average speed by plane to Winnipeg

d = 1,900 km the total distance traveled

t = 7 h total traveling time

t1 = the time of the travel by bug

t2 = the time of the travel by plane

t = t1 + t2 the total time

d1 = the distance traveled by bus

d2 = the distance traveled by plane

d = d1 + d2 the total distance

Since average speed = distance/time we have time = distance/avg.speed

t1 = d1/v1 that is t1 = d1/60

t2 = d2/v2 that is t2 = d2/700

Plug the above values into t1 + t2 = t.

We have the following system of equations:

d1/60 + d2/700 = 7

d1 + d2 = 1900

.......

Click here to see the step by step solution for 'd1' and 'd2'

.......

d1 = 281.25 km

d2 = 1,618.75 km

Carl traveled 281.25 km by bus and 1,618.75 km by plane.

7 0

2 years ago

Thetime(inhours)requiredtorepairamachineis an exponentially distributed random variable with parameter λ = 1 . What is 2 (a) the

mihalych1998 [28]

Answer:

a) 0.1353

b) 0.3679

Step-by-step explanation:

Let's start by defining the random variable T.

T : ''The time (in hours) required to repair a machine''

T ~ exp (λ)

T ~ exp (1)

The probability density function for the exponential distribution is

(In the equation I replaced λ = L)

$f(x)=Le^{-Lx}$

With L > 0 and x ≥ 0

In this exercise λ = 1 ⇒

$f(x)=e^{-x}$

For a)

$P(T>2)$

$P(T>2)=1-P(T\leq 2)$

$P(T>2)=1-\int\limits^2_0 {e^{-x} } \, dx$

$P(T>2)=1-(-e^{-2}+1)$

$P(T>2)=e^{-2}=0.1353$

For b)

$P(T\geq 10/T>9)$

The event (T ≥ 10 / T > 9) is equivalent to the event T ≥ 1 so they have the same probability of occur

$P(T\geq 10/T>9)=P(T\geq 1)$

$P(T\geq 1)=1-P(T$

$P(T\geq 1)=1-(-e^{-1}+1)=e^{-1}=0.3679$

4 0

3 years ago

What is 27/6 written as a decimal? 4.2 4.3 4.4 4.5

yawa3891 [41]

27/6 can be written as 27 divided by 6 to make it easier for you to understand the answer would be 4.5

4 0

3 years ago

Find the prime factorization of 30

sattari [20]

Let us start dividing 30 by small prime numbers in increasing order .

the smallest prime number we use is 2

Let's divide 30 by 2 quotient is 15

so we get : 30 = 2* 15

15 is not a prime number , it can be factorized further .

now we start dividing 15

2 can not divide 15 so we move to next prime number that is 3

can 3 divide 15? yes .

we get a quotient 5

so 30 is now : 2* 15 = 2* 3*5

now we have to work on 5 but 5 is a prime number so we stop here .

the prime factorization of 30 is : 2* 3* 5

Answer : 2 *3*5

5 0

3 years ago

Read 2 more answers

Given cos t = 1/2 tan 0 find sin (t) and sec (t)

777dan777 [17]

Answer:

Sin(t) = $\frac{\sqrt{3} }{2} }$ and $sec(t) =2$

Step-by-step explanation:

The secant function is the reciprocal function of the cosine function. Therefore, given that $sec(t) = \frac{1}{cos(t)}$ then, if $cos(t) = \frac{1}{2}$ then $sec(t) =2$ .

On the other hand, if cos (t) = 1/2 ⇒ t = ± $\frac{\pi}{3}$

Then, the sin( $\frac{\pi}{3}$ ) = $\frac{\sqrt{3} }{2} }$

3 0

3 years ago