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3 years ago

Solve:

\frac{zz}{4} + 5 \geqslant 5.5" alt=" \frac{zz}{4} + 5 \geqslant 5.5" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

allochka39001 [22]3 years ago

7 0

$\bf \cfrac{zz}{4} + 5\geqslant 5.5\implies \stackrel{\textit{subtracting 5 from both sides}}{\cfrac{zz}{4}\geqslant 0.5}\implies \stackrel{\textit{multiplying both sides by 4}}{zz \geqslant 2}$

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According to a survey, 62% of americans go on vacation each . two americans are chosen from a group of 100 americans. what is th

Drupady [299]

probability of one go on vacation and one does not go on vacation is 0.2356 and probability none of them go on vacation is 0.1444

According to a survey, 62% of americans go on vacation each .

two americans are chosen from a group of 100 americans.

what is the probability that one or both of the people chosen does not go on vacation each ?

62% americans go on vacation t

hen 38% americans does not go on vacation

Total group of americans is 100

out of 100 americans 62 go on vacation and 38 does not go on vacation

probability of one go on vacation and one does not go on vacation

= 0.62*0.38

=0.2356

probability none of them go on vacation

= 0.38*0.38

=0.1444

learn more about of probability here

brainly.com/question/11234923

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1 year ago

0.00035 + (4.2 x 10-5)

SCORPION-xisa [38]

Step-by-step explanation:

Solve the bracket first. starting with multiplication and then subtraction

0.00035 + (4.2 x 10-5)

0.00035 + (42-5)

0.00035 + 37

0.01295

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3 years ago

Find the measure of the missing angles in the triangle below round your answer to the nearest degree

navik [9.2K]

Answer:

a. 40°

b. 21°

Step-by-step explanation:

a. Reference angle = θ

Opposite = 5

Adjacent = 6

Apply TOA:

$Tan (\theta) = \frac{Opp}{Adj}$

$Tan (\theta) = \frac{5}{6}$

$\theta = Tan^{-1}(\frac{5}{6})$

$\theta = 40$ (nearest degree)

b. Reference angle = x

Opposite = 5

Hypotenuse = 14

Apply SOH:

$Sin (x) = \frac{Opp}{Hyp}$

$Sin (x) = \frac{5}{14}$

$x = Sin^{-1}(\frac{5}{14})$

$x = 21$ (nearest degree)

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

A horse corral is situated on a triangular plot of land. Two sides of the plot are 150 feet long and they meet at an angle of 55

Brrunno [24]

Answer : d. 438.5 ft

The diagram for the given statement is attached below.

Two sides AB and AC are equal so the angle B = angle C

WE know sum of three sides of a triangle = 180

angle A + angle B + angle C = 180

55 + B + C = 180

B + C = 180 -55 = 125

B and C are equal so we divide 125 by 2

angle B = 62.5 and angle C = 62.5

Now we apply sin law

$\frac{sin A}{a} = \frac{sin B}{b}$

$\frac{sin 55}{a} = \frac{sin 62.5}{150}$

150 * sin(55) = sin(62.5) * a

122.8728066 = sin(62.5) * a

a = $\frac{ 122.8728066}{sin(62.5)}$

a= 138.52 feet

To find perimeter we add all the sides

150 + 150 + 138.52 = 438.52 feet

5 0

3 years ago