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2 years ago

In ΔTUV, the measure of ∠V=90°, the measure of ∠T=42°, and UV = 20 feet. Find the length of TU to the nearest tenth of a foot.

Mathematics

2 answers:

just olya [345]2 years ago

6 0

Answer:

29.9 feet

Step-by-step explanation:

sin 42= 20/x

X sin 42=20 cross multiply

X sin 42/sin 42 = 20/sin 42 Divide each side by sin 42

X = 20/sin 42 = 29.8895 ~ 29.9 feet

GenaCL600 [577]2 years ago

4 0

Answer:

29.9

Step-by-step explanation:

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Evaluate the expression. |3| + |-1| A) -2 B) -4 C) 2 D) 4

Kisachek [45]

Answer:

D) 4

Step-by-step explanation:

$|3| + |-1| = 3 + 1 = 4 \\$

4 0

3 years ago

6) What are ED and FD?

kolezko [41]

Answer:

ED = 12 and FD = 24

Step-by-step explanation:

See the attached diagram.

The perpendicular distance between the three parallel lines are same i.e. AB = BC = 8

Therefore, the parallel lines will divide any transverse line ( say FD ) in 1 : 1 ratio i.e. will divide equally.

Therefore, FE = ED = 12 units.

Again, FD = FE + ED = 12 + 12 = 24 units. (Answer)

5 0

2 years ago

Find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one

oksano4ka [1.4K]

Answer:

$P(x \geq 6)=P(X=6)+P(X=7)$

And we can find the individual probabilities:

$P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358$

$P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517$

And replacing we got:

$P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=7, p=1-0.09=0.91)$

The probability associated to a failure would be p =1-0.09 = 0.91

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(x \geq 6)=P(X=6)+P(X=7)$

And we can find the individual probabilities:

$P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358$

$P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517$

And replacing we got:

$P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875$

6 0

2 years ago

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

2 years ago

What is the mean for the data set?

lakkis [162]

The answer is 50. You add all of the numbers in the data set, and divide it by the number of numbers in the data set. the sum of all of the numbers is 350, divide that by 7( the amount of numbers in the data set) and you get 50

3 0

2 years ago

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