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Olin [163]
2 years ago
11

The sides of a triangle are in the ratio 3:4:5 what is the length of each side if the perimeter of the triangle is 90 cm?

Mathematics
1 answer:
polet [3.4K]2 years ago
7 0

Answer:

The answer to your question is:

side 1 = 22.5 cm

side 2 = 30 cm

side 3 = 37.5 cm

Step-by-step explanation:

 ratio = 3:4:5

Perimeter = 90 cm

First we get the sum of the numbers of the proportions

                          3 + 4 + 5 = 12

now divide the perimeter by the number of parts (12)

             

                           90 / 12 = 7.5

Side 1 = 3(7.5) = 22.5 cm

Side 2 = 4(7.5) = 30 cm

Side 3 = 5(7.5) = 37.5 cm

     Perimeter = 22.5 + 30 + 37.5 = 90 cm

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The stream of water from a fountain follows a parabolic path. The stream reaches a maximum height of 7 feet, represented by a ve
xenn [34]

First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.

If we need the vertex to be at x=4, the equation will contain a (x-4)^2 term.

If we start with y=-(x-4)^2 we have a parabola, concave down, with vertex at x=4 and a maximum of 0.

So, if we add 7, we will translate the function vertically up 7 units, so that the new maximum will be (4, 7)

We have

y = -(x-4)+7

Now we only have to fix the fact that this parabola doesn't land at (8,0), because our parabola is too "narrow". We can work on that by multiplying the squared parenthesis by a certain coefficient: we want

y = a(x-4)^2+7

such that:

  • a
  • when we plug x=8, we have y=0

Plugging these values gets us

0 = a(8-4)^2+7 \iff 16a+7=0 \iff a = -\dfrac{7}{16}

As you can see in the attached figure, the parabola we get satisfies all the requests.

3 0
3 years ago
Carlos solved the system of equations below. What mistake did he make in his work? (5 points)
notka56 [123]

Answer:

Ele não distribuiu corretamente

Step-by-step explanation:


4 0
3 years ago
a triangle pyramid has lateral faces with bases of 6meters and hights of 9 meters the area of the base of the pyramid
Alexxandr [17]
What is the question
6 0
3 years ago
EASY MATH____________
WINSTONCH [101]

Perimeter of a square = 4s where is the length of one side.

Equation:

Area = s^2

169 = s^2

s = 13 inches

B. 13 INCHES

4 0
3 years ago
Read 2 more answers
HELP PLEASE!!!!
kumpel [21]

Answer:

The rational numbers are \frac{11}{3}, 6.25, 0.01045,\sqrt{\frac{16}{81}},0.\bar{42} and the irrational functions are \sqrt{48},\sqrt{\frac{3}{16}}.

Step-by-step explanation:

A rational number can be expressed in the form of \frac{p}{q}, where p and q are integers and q is not equal to 0. For example 2,3.5,\frac{2}{5},....

An irrational function can not be expressed in the form of \frac{p}{q}, where p and q are integers and q is not equal to 0. For example \sqrt{2},\sqrt{3},\sqrt{5},....

If any number is multiplied by a irrational number then the resultant number is an irrational number.

By the above definition we can conclude that:

The number \frac{11}{3} is a rational number.

\sqrt{48}=\sqrt{16\times 3}=4\sqrt{3}

Therefore \sqrt{48} is an irrational number.

6.25=\frac{625}{100}=\frac{25}{4}

Therefore 6.25 is a rational number.

0.01045=\frac{1045}{100000}=\frac{209}{20000}

Therefore 0.01045 is a rational number.

\sqrt{\frac{16}{81}}=\frac{4}{9}

The number \frac{16}{81} is a rational number.

\sqrt{\frac{3}{16}}=\frac{\sqrt{3}}{4}

The number \frac{3}{14} is an irrational number.

0.\bar{42}=\frac{42}{99}

Therefore 0.\bar{42} is an irrational number. The numbers with recursive bar are always rational numbers.

3 0
3 years ago
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