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avanturin [10]
3 years ago
15

What is the perimeter of a triangle with the given side lengths?

Mathematics
1 answer:
saul85 [17]3 years ago
5 0

The perimeter of any shape is the distance all the way around it.

For a triangle, it's the sum of the three side lengths.

I would normally copy them into my answer and then add them up.
But you've set them up in such a beautiful table in the question,
you can just look at that list and add them up.

Add up all the x's :     x + x + x = 3x

Add up all the plain numbers:  -3 + 2 + 4 = 3

There's your perimeter . . . . .  3x + 3 .

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Answer:

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Step-by-step explanation:

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Let x = 45 minutes

y = 4/5 (45)

y = 36 gallons

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3 years ago
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Sloan [31]

Answer:

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Step-by-step explanation:

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Mr.Hall stands 200 meters from the base of the water tower. He finds the angle of elevation to the top of the water to be 27 deg
love history [14]

Height of the tower = 101.9 m

Solution:

Given data:

Angle θ = 27°

Adjacent side = 200 m

Opposite side = Height

Let height be taken as h.

The given image shows it is a right triangle.

Using basic trigonometric ratio formulas,

$\tan \theta=\frac{\text { Opposite side of } \theta}{\text { Adjacent side of } \theta}

$\tan27^\circ =\frac{{ h}}{200}

The value of tan 27° = 0.5095

$0.5095 =\frac{{ h}}{200}

Do cross multiplication, we get

0.5095 × 200 = h

101.9 = h

Height of the tower = 101.9 m

8 0
3 years ago
Which equation could be solved using this application of the quadratic formula? A. -2x2 â’ 8 = 10x â’ 3 B. 3x2 â’ 8x â’ 10 = 4 C
hodyreva [135]

The given question can be solve using quadratic formula.

The correct option is (c) 3x^2 +8x -10=-8.

Given:

The given equation is,

x=\dfrac{-8\pm\sqrt{8^2-4(3)(-1)}} {2(3)}---------------------------(1)

Write the general quadratic equation.

ax^2 + bx +c=0

Write the quadratic formula.

x  =\dfrac {-b \pm  \sqrt{(b^2 - 4ac)} } {2a}------------------------------- (2)

Compare equation (1) and (2).

a=3\\b=8\\c=-2

Substitute the value of a, b and c in general quadratic.

3x^2 +8x -2=0

Subtract 8 from each side of above equation.

3x^2 +8x -2 -8=0-8\\3x^2 +8x -10=-8

Thus, the correct option is (c) 3x^2 +8x -10=-8.

Learn more about quadratic equation here:

brainly.com/question/17177510

6 0
2 years ago
Jimmy Andrew and Richard collect comic books. Jimmy has five more comic books than Andrew, and Richard has four times as many co
adell [148]

Answer: Andrew = 20

Jimmy = 25

Richard = 100

Step-by-step explanation:

Let the number of Andrew's comic books be y.

Jimmy has five more comic books than Andrew. This means Jimmy has: y+5

Richard has four times as many comic book as jimmy. This means Richard has: 4(y+5) = 4y + 20

Since there are 145 comic books together. This can be rewritten as:

y + (y+5) + (4y+20) = 145

6y+25 = 145

6y = 145 - 25

y = 120/6

y = 20

Andrew has 20 comic books

Jimmy has five more comic books than Andrew. Jimmy has: 20+5 = 25

Richard has: 4y + 20 = 4(20) + 20 = 100

5 0
3 years ago
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