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3 years ago

Evaluate the expression: 28 + 87 = 3 x 23

Mathematics

1 answer:

TEA [102]3 years ago

8 0

Answer:

I think it's 202

Step-by-step explanation:

28+87 =115

3×2³

2×3=6

28+87=3×2³= 202

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Find the values of x and y. Write your answers in simplest form

SCORPION-xisa [38]

Answer:

$x =6$

$y=6\cdot \sqrt{2}$

Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios: sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Choosing any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image shows a right triangle where the angle of 45° has x as the opposite leg, 6 as the adjacent leg, and y as the hypotenuse. The trigonometric ratio that applies here is the cosine ratio, defined as:

$\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}$

$\displaystyle \cos 45^\circ=\frac{6}{y}$

Solving for y:

$\displaystyle y=\frac{6}{\cos 45^\circ}$

$\cos 45^\circ=\frac{\sqrt{2}}{2}=\frac{1}{\sqrt{2}}$

Substituting:

$\displaystyle y=\frac{6}{\frac{1}{\sqrt{2}}}$

$y=6\cdot \sqrt{2}$

Now use the tangent ratio:

$\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 45^\circ=\frac{x}{6}$

Solving for x:

$x=6\cdot\tan 45^\circ$

$\tan 45^\circ=1$

Substituting:

$x=6\cdot 1$

$x =6$

Answer:

$x =6$

$y=6\cdot \sqrt{2}$

6 0

3 years ago

10. ''Saving electricity in our homes is saving our money.'' Mention five ways of saving energy.

Elis [28]

Answer:

Some ways of saving energy include : turn off the fan / lights when you leave a room, hang your clothes out to dry, don't run your dishwasher half full, turn off the water when your not using it, don't stand in front of an open refrigerator door. Hope this helps :)

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3 years ago

“Determine whether 3x+12+x is equivalent to 4(3+x). Use properties of operations to justify your answer” PLEASE HELP

Firdavs [7]

Answer:

It’s equivalent.

Step-by-step explanation:

Collect like terms: 4x+12 = 4(3+x)

Expand brackets: 4x+12 = 12+4x

Rearrange: 4x+12 = 4x+12

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3 years ago

There are 3 yellow marbles, 4 blue marbles, 5 red marbles, and 2 green marbles in a bag. One marble is drawn from the bag at ran

romanna [79]

B. Drawing two red marbles

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3 years ago

(2÷x6-=6 what is a the right answer

olga nikolaevna [1]

Mabe You mean 2 : 6x = 6

answer: 2

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3 years ago