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3 years ago

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A Circle Has a radius of six inches what is the exact length of an arc formed by a central angle measuring 45 degrees

1 answer:

Anvisha [2.4K]3 years ago

3 0

$\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=6\\ \theta =45 \end{cases}\implies s=\cfrac{(45)\pi (6)}{180}\implies s=\cfrac{3\pi }{2}\implies s\approx 4.7$

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3 years ago

Taylor and his Dad plan to build a deck on the back of their house. First, they make a scale drawing of thet deck. The scale is

Ann [662]

Question:

Taylor and his Dad plan to build a deck on the back of their house. First, they make a scale drawing of the deck. The scale is 1.25 inches = 2 feet.

This is the drawing: the scale drawing deck is 17 by 11

Using this drawing, enter the length, in feet, Taylor must use for the deck?Answer:

The length, Taylor must use for the deck is 27 .2 feet

Step-by-step explanation:

Given:

The dimensions of the deck = 17 by 11

Scale = 1.25 inches = 2 feet.

To Find:

The length, in feet, Taylor must use for the deck

Solution:

According to the scale

1.25 inches = 2 feet

Then

1 inch = $\frac{2}{1.25}$

The length of the deck = 17 inches

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3 years ago

What is the sum for m=0.56-0.25 and n=0.20-0.03

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2 years ago

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Determine the equation of the graph, and select the correct answer below.

Alinara [238K]

Answer:

The equation of the parabolic function is :

$y=(x-1)^2-3$

Step-by-step explanation:

The standard equation of a parabola is given by:

$y=a(x-h)^2+k$

where $(h,k)$ represents the vertex of the parabola.

From the graph shown in figure we can find the vertex of the parabola which is the minimum point of parabola and lies st point $(1,-3)$

So, we can say:

$(h,k)\rightarrow (1,-3)$

Plugging in the values of vertex in standard equation of parabola,

$y=a(x-1)^2+(-3)$

Simplifying the equation:

$y=a(x-1)^2-3$

We can find value of $a$ by plugging in a point from the graph.

Using point (0,-2) which lies on graph.

Plugging in the given point.

$-2=a(0-1)^2-3$

$-2=a-3$

Adding 3 to both sides.

$-2+3=a-3+3$

$1=a$

∴ $a=1$

Plugging in $a=1$ , the equation of parabola can be written as:

$y=(x-1)^2-3$

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3 years ago

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