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3 years ago

Simplify completely 3x + 18 / 18

Mathematics

1 answer:

disa [49]3 years ago

4 0

Answer:

3(x + 6)/18

= x + 6 /6

Step-by-step explanation:

hope this helps you

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Find the approximate length of EF.

Yuri [45]

Answer:

The correct option is B

Step-by-step explanation:

Given information: ∠F=32°,∠D=54° and DF=18m.

According to the angle sum property of triangle, the sum interior angles of a triangle is 180°.

Using angle sum property, we get

$\angle D+\angle E+\angle F=180^{\circ}$

$54^{\circ}+\angle E+32^{\circ}=180^{\circ}$

$\angle E+86^{\circ}=180^{\circ}$

$\angle E=180^{\circ}-86^{\circ}$

$\angle E=94^{\circ}$

Law of sine:

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

Using law of sine we get

$\frac{\sin D}{d}=\frac{\sin E}{e}$

$\frac{\sin D}{EF}=\frac{\sin E}{DF}$

$\frac{\sin 54^{\circ}}{EF}=\frac{\sin 94^{\circ}}{18}$

$\frac{0.809016994375}{EF}=\frac{0.99756405026}{18}$

Cross multiply,

$0.809016994375\times 18=0.99756405026\times EF$

Divide both sides by 0.99756405026.

$EF=14.5978655656$

$EF\approx 14.6$

The value of EF is 14.6 m. Therefore the correct option is B.

7 0

3 years ago

An article with a net weight of 10 pounds is packaged in a box that weighs 1/2 pound if 20 of these boxed articles are put into

Anna [14]

10+(1/2)+10+(1/2) 42
------------------------- = -------
2 2
21+15=36

5 0

3 years ago

A baseball fan is seated in the upper deck of a stadium 200 feet away from

Mrac [35]

Please find attached to this answer a well labelled diagram of the triangle

Answer:

Approximately 176.6 feet

Step-by-step explanation:

From the question, we are to find the height at which the baseball fan was sitting.

From the attached diagram the height at which the fan was sitting is equivalent to the opposite side of the triangle.

Hence , the appropriate trigonometric function to use to solve this question is the sine function.

Sine = Opposite / Hypotenuse

Opposite is unknown so we refer to it as Y

Hypotenuse = 200feet

While the Angle of depression = 62°

Therefore,

Sine 62° = Y/ 200 feet

Cross multiply

Sine 62° × 200 feet = Y

Y = 176.58951857 feet

Approximately 176.6 feet

Therefore , the height at which the fan is sitting is 176.6 feet

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3 years ago

| Marcie purchased 6 folders for $1.29

gtnhenbr [62]

Answer:

$18.42

Step-by-step explanation:

6 folders-7.74

7 pens-6.93

5 packs of pencils- 3.75

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3 years ago

Find the amount owed:<br> $12,460 loan at 5.6% interest for 30 months

gtnhenbr [62]

Ending balance:$10,613.15
Total interest paid:$1,615.96
Total payments:$3,462.81

8 0

3 years ago