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2 years ago

A scientist completed

Mathematics

1 answer:

Lynna [10]2 years ago

4 0

Answer:

D 15

Step-by-step explanation:

it takes her an hour for 1/3 of a page. 1/3 x 3 = 3. 3x5 = 15

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Question 10 (1 point) Solve for x. 1/2+x/6=4/3

jek_recluse [69]

Answer:

The value of x for the given expression is 5 .

Step-by-step explanation:

Given expression as

$\dfrac{1}{2}$ + $\dfrac{x}{6}$ = $\dfrac{4}{3}$

Now, arrange the equation

So, $\dfrac{x}{6}$ = $\dfrac{4}{3}$ - $\dfrac{1}{2}$

Taking L.C.M on right hand side

Or, $\dfrac{x}{6}$ = $\dfrac{8 -3}{6}$

Or, $\dfrac{x}{6}$ = $\dfrac{5}{6}$

Or, x = $\frac{5\times 6}{6}$

∴ x = 5

So, The value of x = 5

Hence,The value of x for the given expression is 5 . Answer

5 0

2 years ago

Quick, anyone know this geometry question?

scoray [572]

RS is 68 and T is 92 if you want an explanation then i gotten but u said quick so maybe it is timed idk

4 0

3 years ago

Read 2 more answers

The perimeter of equilateral triangle ABC is 81/3 centimeters, find the length of the radius and apothem.

MAXImum [283]

There is a typo error, the perimeter of equilateral triangle ABC is 81/√3 centimeters.

Answer:

Radius = OB= 27 cm

Apothem = 13.5 cm

A diagram is attached for reference.

Step-by-step explanation:

Given,

The perimeter of equilateral triangle ABC is 81/√3 centimeters.

Substituting this in the formula of perimeter of equilateral triangle = $3\times\ side$

$3\times\ side$ $=[tex]81\sqrt{3}$

$Side = \frac{81\sqrt{3} }{3} =27\sqrt{3} \ cm$

Thus from the diagram , Side $AB=BC=AC= 27\sqrt{3} \ cm$

We know each angle of an equilateral triangle is 60°.

From the diagram, OB is an angle bisector.

Thus $\angle OBC = 30$ °

Apothem is the line segment from the mid point of any side to the center the equilateral triangle.

Therefore considering ΔOBE, and applying tan function.

$tan\theta =\frac{perpendicular}{base} \\tan\theta=\frac{OE}{BE} \\tan\theta=\frac{OE}{\frac{27\sqrt{3}}{2} } \\tan30\times {\frac{27\sqrt{3} }{2} }= OE\\\frac{1}{\sqrt{3} } \times\frac{27\sqrt{3} }{2} =OE\\$

Thus ,apothem OE= 13.5 cm

Now for radius,

We consider ΔOBE

$cos\theta=\frac{base}{hypotenuse} \\cos30= \frac{BE}{OB} \\Cos30 = \frac{\frac{27\sqrt{3} }{2}}{OB} \\OB= \frac{\frac{27\sqrt{3} }{2}}{cos30} \\OB= \frac{\frac{27\sqrt{3} }{2}}{\frac{\sqrt{3} }{2} } \\OB =27 \ cm$

Thus for

Perimeter of equilateral triangle ABC is 81/√3 centimeters,

The radius of equilateral triangle ABC is 27 cm

The apothem of equilateral triangle ABC is 13.5 cm

4 0

3 years ago

Square root of50 is it rational true or false

morpeh [17]

Rational numbers end
irrational numbers do not
pi is an irrational number
√2 is an irrational number
so
√50=√2 times √25=√2 times 5
irrational times rational =irrational
√2=irrational

answer is false, it is rrational

3 0

3 years ago

How do you do this (move 3 circles to make the figure upside down

velikii [3]

Answer:

Move the top left and right to the sides of the second to last row, then move the single circle from the bottom row to the top.

Step-by-step explanation:

8 0

3 years ago