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3 years ago

15

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

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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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

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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

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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