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3 years ago

The hypotenuse of a 45 -45 -90 triangle measures 4 cm what is thr length of one leg

Mathematics

1 answer:

avanturin [10]3 years ago

6 0

leg = cos(small angle)* hypotenuse

= cos(45)*4 = 2 *Square root of 2 or 2.83cm ( depending on how you need to answer.

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Quick calculus question work doesn't have to be shown

Vinil7 [7]

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\implies V=\cfrac{4\pi }{3}r^3
\\\\\\
\cfrac{dV}{dt}=\cfrac{4\pi }{3}\cdot \stackrel{chain~rule}{3r^2\cdot \cfrac{dr}{dt}}\quad 
\begin{cases}
\frac{dr}{dt}=50\\
r=6
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4 years ago

Find the perimeter of the<br> triangle.<br> 16% + 16) cm<br> (9%-11) cm

maxonik [38]

Answer:

Step-by-step explanation:

Three equal sides, so lets find one by solving for x

6x + 16 = 9x-11

-3x = -27

x = 9

6(9) + 16 = 70

9(9) - 11 = 70

70(3) = 210 cm

8 0

3 years ago

The expression c + 0.07c can be used to find the total cost of an item with 7% sales tax, where c is the cost of the item. Use t

Nataly_w [17]

The total cost of the item at the value of $25 and a tax of 7% is $26.75

<h3>Total Cost </h3>

Given Data

Tax = 7%

Cost of item c = $25

We have the given expression to find the total cost which is

Total = c + 0.07c

Substituting our given data into the expression we have

Total = 25 + 0.07*25

Total = 25 + 1.75

Total = $26.75

Learn more about total cost here:

brainly.com/question/25109150

3 0

2 years ago

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

At a baseball game, 6 hotdogs cost $27. What is the cost of 1 hotdog? How many hotdogs can you buy for $18

Sergio [31]

Answer:

What is the cost of 1 hotdog?

Answer: $4.50

How many hotdogs can you buy for $18?

Answer: 4

Step-by-step explanation:

If $27 can buy you 6 hot dogs, to find the cost of one, we just divide.

27 divided by 6 = 4.5 ($4.50)

So 1 hotdog costs $4.50

If 1 hotdog is $4.50, and we want to know how much we can buy for $18, then we divide again.

18 divided by 4.5 = 4

So for $18, we can buy 4 hotdogs

8 0

3 years ago