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2 years ago

The isosceles triangle has a perimeter of 7.5 m

Mathematics

2 answers:

scoray [572]2 years ago

4 0

Option 4: 2.1 + 2x = 7.5

Damm [24]2 years ago

3 0

Answer:

The value of x is 2.7 and the equation used for finding the value of x is 7.5 = 2.1 + 2x.

Step-by-step explanation:

As given

The isosceles triangle has a perimeter of 7.5 m .

if the shortest side, y measures 2.1 m

In the isosceles triangle two sides of the triangle are equal .

Let us assume that the two equal sides each of length x .

Thus

Perimeter = Sum of all sides

Perimeter = x + x + y

7.5 = 2x + 2.1

7.5 - 2.1 = 2x

5.4 = 2x

$x = \frac{5.4}{2}$

x = 2.7 m

Therefore the value of x is 2.7 and the equation used for finding the value of x is 7.5 = 2.1 +2x.

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A model rocket is launched with an initial velocity of 200 ft per second. The height h, in feet, of the rocket t seconds after t

Solnce55 [7]

Answer:

2.10 s, 10.40 s.

Step-by-step explanation:

We know that the height of the rocket is given by the function:

$h=-16t^2+200t$

We are asked to find the time for which the height of the rocket will be 350 ft. So, for that moment, we know the height but we don't know the time; however, we know that the equation can help us to find the time, doing h=350:

$350=-16t^2+200t$

The last is a quadratic equation, which can be put in the form $at^2+bt+c=0$ and solved applying the formula:

$t=\frac{-b+-\sqrt{b^2-4ac} }{2a}$

So, let's put the equation on the form $at^2+bt+c=0$ adding $16t^2$ and subtracting $200t$ to each side of the equation; the result is:

$16t^2-200t+350=0$

So, we note that a=16, b=-200, and c=350.

Then,

$t_1=\frac{200-\sqrt{200^2-4*16*350} }{2*16}=2.10$

$t_2=\frac{200+\sqrt{200^2-4*16*350} }{2*16}=10.40$

According to the equation, that are the times for which the height will be 350 ft; that is because the rocket is going to ascend and then to fail again to the ground.

4 0

3 years ago

Here is a diagram and its corresponding equation. Find the solution to the equation and explain your reasoning. (Please help ASA

jeka94

Use order of operations for this

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Move the 17 to the 23

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Then move the 4 over leaving the x by itself

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3 years ago

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3 years ago

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Olenka [21]

Answer:

Step-by-step explanation:

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