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2 years ago

14

If angle c=60° , b=5 ,a=4 then find the value of the c ?

1 answer:

Lyrx [107]2 years ago

5 0

Answer:

c=sqrt21

Step-by-step explanation:

angle c is the angle between a and b, so use the cos law

c^2=a^2+b^2-2*a*b*cosC

c^2= 16+25-2*4*5*1/2

c^2=21

c=sqrt21

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horrorfan [7]

Answer:

D Numbers that can be written as fractions

Step-by-step explanation:

A <em>rational</em> number is one that can be written as a <em>ratio</em>: a fraction with integer numerator and denominator.

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The term "decimal" as used here is sufficiently non-specific that we cannot seriously consider it to be part of a suitable answer. A terminating or repeating decimal will be a rational number. A non-terminating, non-repeating decimal will not be a rational number.

While integers and whole numbers are included in the set of rational numbers, by themselves, they do not constitute the best description of the set of rational numbers.

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3 years ago

What are congruence of a triangle

Katen [24]

Answer:

it is when two triangles are similar to each other in every way.

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3 years ago

Normal Distribution. Cherry trees in a certain orchard have heights that are normally distributed with mu = 112 inches and sigma

Lubov Fominskaja [6]

Answer:

The probability that a randomly chosen tree is greater than 140 inches is 0.0228.

Step-by-step explanation:

Given : Cherry trees in a certain orchard have heights that are normally distributed with $\mu = 112$ inches and $\sigma = 14$ inches.

To find : What is the probability that a randomly chosen tree is greater than 140 inches?

Solution :

Mean - $\mu = 112$ inches

Standard deviation - $\sigma = 14$ inches

The z-score formula is given by, $Z=\frac{x-\mu}{\sigma}$

Now,

$P(X>140)=P(\frac{x-\mu}{\sigma}>\frac{140-\mu}{\sigma})$

$P(X>140)=P(Z>\frac{140-112}{14})$

$P(X>140)=P(Z>\frac{28}{14})$

$P(X>140)=P(Z>2)$

$P(X>140)=1-P(Z$

The Z-score value we get is from the Z-table,

$P(X>140)=1-0.9772$

$P(X>140)=0.0228$

Therefore, the probability that a randomly chosen tree is greater than 140 inches is 0.0228.

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3 years ago

"-3 = 9/5c + 32" help with finding c pls!! i need it as a decimal btw.

Serggg [28]

Answer:

-3=9/5c +32

-3*5c=9/5c*5c+32*5c

-15c=9+160c

-15c -160c =9

c(-15-160)=9

c(-15-160)/(-15-160)=9/(-15-160)

c=9/(-15-160)

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2 years ago

Two faulty machines, M1 and M2, are repeatedly run synchronously in parallel (i.e., both machines execute one run, then both exe

leonid [27]

The event that either M1 or M2 fails has probability

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by the addition rule. Failure events are independent, so

$P(M_1\text{ and }M_2\text{ both fail})=P(M_1\text{ fails})P(M_2\text{ fails})$

so that

$P(M_1\text{ fails or }M_2\text{ fails})=p_1+p_2-p_1p_2$

Denote this probability by $p$ . Then $X$ follows a geometric distribution with this parameter $p$ and has density

$P(X=x)=\begin{cases}(1-p)^{x-1}p&\text{for }x\ge1\\0&\text{otherwise}\end{cases}$

The expectation is $\dfrac1p=\dfrac1{p_1+p_2-p_1p_2}$ .

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3 years ago