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3 years ago

A circle with circumference 20 has an arc with 72 degree central angle what is length of the arc

Mathematics

1 answer:

Debora [2.8K]3 years ago

4 0

Answer:

Step-by-step explanation:

Look at the picture.

At the beginning we have to calculate what part of the angle 360° is the given angle 75°.

$\dfrac{75}{360}=75:360=0.2$

The same part of the circumference of the circle is the arc defined by this central angle.

The circumference C = 20.

Therefore

$x=0.2\cdot20=4$

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$1000 was deposited at 5% simple interest when Samantha was born. What is the simple interest if she is 12 years old? and what w

kolezko [41]

Answer:

$1600; $2200

Step-by-step explanation:

Simple interest(I) =P×R×T

Where

P=Principal

R=Rate

T=Time

When she is 12 years

P=$1000

R=5%

=5/100

=0.05

T=12 years

Simple interest(I) =P×R×T

=1000×0.05×12

=$600

Total amount=principal + simple interest

=$1000+$600

=$1600

Simple Interest after another 12 years= 24 years

T=24

So,

Simple interest(I) =P×R×T

=$1000×0.05×24

=$1200

Total amount=principal+simple Interest

= 1,000+1,200

=$2,200

6 0

4 years ago

The perimeter and the area

Genrish500 [490]

Perimeter=28/3
Area=40/3

3 0

3 years ago

How menny feet this is

Korolek [52]

How many feet is what

6 0

3 years ago

Estimate the solution of the linear system of equations by graphing. Give approximate coordinate values to the nearest integer.

lubasha [3.4K]

The solutions to the system of equations is $(3.8,-1.6)$

Explanation:

Given the system of equations are $3y=-6x+18$ and $-35=-7x+5y$

We need to determine the solution to the system of equations.

Let us plot the equation $3y=-6x+18$ in the graph.

When $x=0$ , we get, $3y=18 \implies y=6$

When $y=0$ , we get, $-18=-6x \implies x=3$

Thus, the coordinates are (0,6) and (3,0)

Let us plot the equation $-35=-7x+5y$ in the graph.

When $x=0$ , we get, $-35=5y \implies -7=y$

When $y=0$ , we get, $-35=-7x \implies 5=x$

Thus, the coordinates are (0,-7) and (5,0)

The solution to the system of equations is the point of intersection of the two lines.

Thus, the lines intersect at the point $(3.824,-1.647)$

The approximate values of the point is $(3.8,-1.6)$

Thus, the solution is $(3.8,-1.6)$

3 0

3 years ago

Please I need help!!!

inessss [21]

Answer:

44 ft

Step-by-step explanation:

There are a couple of ways this can be worked. You could find the height of the tower, then use the Pythagorean theorem to find the wire length.

Or, you can find the wire length for the smaller triangle and scale up the result to the larger triangle. We choose this method.

The length of the wire (w) from the stake to the top of the pole is given by the Pythagorean theorem:

w² = 4² +7² = 16 +49 = 65

w = √65 . . . . . . take the square root

The base of the larger triangle is 18+4 = 22. The scale factor from the smaller to larger triangle is the ratio of base lengths: 22/4 = 11/2

The overall length of the guy wire is this ratio times "w" ...

(11/2)√65 ≈ 44 . . . . feet

3 0

3 years ago