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2 years ago

Given the speeds of each runner below, determine who runs the fastest.

Mathematics

1 answer:

Fantom [35]2 years ago

8 0

495/34

13/1sec
495/34sec
5280/506
666/60
Convert all to same measurements( feet/sec) then simplify
13, 14.6, 10, 11.1

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A half-circle is joined to an equilateral triangle with side lengths of 12 units. What is the perimeter of the resulting shape?

krek1111 [17]

Answer:

P = 42.84 cm

Step-by-step explanation:

A half-circle is joined to an equilateral triangle with side lengths of 12 units.

We need to find the perimeter of the resulting shape.

The perimeter of the half cirle is πr.

The diameter of the circle is 12. It means radius is 6 units.

An equilateral triangle has 3 equal sides. So, perimeter of the triangle is given by :

P = πr + 12 +12

= 3.14(6) + 24

= 42.84 cm

Hence, the perimeter of the resulting shape is 42.84 cm.

8 0

3 years ago

|x-1|+2<4 solving for x

Ganezh [65]

Answer:

x < 3 and x > -1

Step-by-step explanation:

Step 1: Subtract 2 from both sides.

$|x-1| + 2 - 2 < 4 - 2$
$|x-1|$

Step 2: Solve absolute value.

We know x - 1 < 2 and x - 1 > -2.

Condition 1:

$x - 1 < 2$
$x - 1 + 1 < 2 + 1$ (Add 1 to both sides)
$x < 3$

Condition 2:

$x - 1 > -2$
$x - 1 + 1 > -2 + 1$ (Add 1 to both sides)
$x>-1$

Therefore, the answer is x < 3 and x > -1.

8 0

2 years ago

Help me help help help

Rasek [7]

Answer:

Step-by-step explanation:

I hope this helps

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7 0

3 years ago

In the 1970s, due to world events, there was a gasoline shortage in the United States. There were often long lines of cars waiti

Wittaler [7]

Answer:

A line of cars will be about 9650000 feet

Step-by-step explanation:

Simple:

$9.65*1,000,000=9650000$

Hope this Helps!

Stay Safe!

6 0

4 years ago

27. Find a polar equation of the conic with focus at the pole that has the given eccentricity and equation of directrix.

ololo11 [35]

The polar equation will be $r=\dfrac{4}{1+cos\theta}$

<h3> What is the polar equation?</h3>

A polar equation is any equation that expresses the relationship between r and theta, where r is the distance between the pole (origin) and a point on a curve, and theta is the counterclockwise angle formed by a point on a curve, the pole, and the positive x-axis.

From the equation, we are told that

The Eccentricity: e = 1

The Directrix is y = 4

Generally, the polar equation for e = 1 and y = + c is mathematically represented as

$r =\dfrac{e\times c}{1+ecos\theta}$