I need these two questions!!!

What is the length of AC¯¯¯¯¯ ? Enter your answer in the box.

klasskru [66]

In the question, the angles proves that this triangle is an isoceles triangle.

So we can set the two sides equal: $x + 4 = 3x - 8$

Add $-x+8$ to both sides of the equation: $12 = 2x$

Divide both sides by 2: $x = 6$

We find that $x=6$ . AC is also x, so, it is 6 too.

5 0

4 years ago

Can they be written as a fraction and if so why

Kruka [31]

The first one can be written as a fraction because it is a repeating decimal.

The second one can be written as a fraction because it is a repeating decimal.

The third one can not be written as a fraction since it is nether terminating nor repeating.

The last one can be written as a fraction since it is a terminating decimal.

4 0

3 years ago

Read 2 more answers

Complete the sentences regarding demand. The demand for ________ goods increases with a decrease in income, whereas _________ ar

Dominik [7]

Answer:

Inferior, Public

Step-by-step explanation:

Complete the sentences regarding demand. The demand for inferior goods increases with a decrease in income, whereas public are goods that cannot be bought or sold.

8 0

4 years ago

Read 2 more answers

What is the area of a regular 16-gon with a radius of 15 feet? Round your answer to the nearest tenth.

Sedbober [7]

Split up the 16-gon into 16 congruent isosceles triangles. Cut each of these isosceles triangles in half to get a right triangle.

The radius of the 16-gon corresponds to the hypotenuse of any of these 32 right triangles. As you probably know, the area of a triangle is half the product of its base and height. For a right triangle, the base and height can be taken to be the two legs. So you need to find their lengths.

Recall that the exterior angles of any convex polygon sum to 360º in measure. For a regular polygon, these angles are all congruent. There are 16 of them in this case, so they each have measure (360/16)º = 22.5º.

Interior angles are supplementary to exterior angles, which means each interior angle of the 16-gon has measure (180 - 22.5)º = 157.5º.

When we split up the 16-gon into isosceles triangles, the "base angles" are equal in measure to half the measure of the interior angles, since each hypotenuse bisects the interior angle. So each base angle has measure 78.75º.

In each right triangle, we then have base b and height h such that

sin(78.75º) = h/15

cos(78.75º) = b/15

Solve for h and b to get

b = 15 cos(78.75º)

h = 15 sin(78.75º)

Then the area of each right triangle is

1/2 b h = 225/2 sin(78.75º) cos(78.75º) = 225/4 sin(157.5º)

and so the area of the 16-gon is

32(1/2 b h) = 1800 sin(157.5º) ≈ 688.8 sq. ft.

4 0

4 years ago

Ivy's basketball team scored 38 point in the first game of the season. In the next 2 games they scored a total of 77 points. For

AleksAgata [21]

Answer:

The expression given by Ivy is WRONG.

The correct expression is $(19 + 77 x (0.5) )

The total mount in jar = $57.5

Step-by-step explanation:

Here, for each point scored, $0.5 is put in the jar.

Now, the point scored in the first game = 38 points

So, the amount put in the jar for 38 points = 38 x ( amount for 1 point)

= 38 x ( $0.5) = $19

So, after first game, jar has $19.

Now, the point scored in the(2 +3) game = 77 points

So, the amount put in the jar for 77 points = 77 x ( amount for 1 point)

= 77 x ( $0.5) = 77 x (0.5)

So, after second and third game, jar has $ (77 x (0.5)).

Now, total amount in jar

= Amount after first game + Amount after second and third game

= 19 + 77 x (0.5)

But , here THE TOTAL AMOUNT given by Ivy = 38+(77 x 0.5)

And 19 + 77 x (0.5) ≠ 38+(77 x 0.5)

Hence, the expression given by Ivy is WRONG.

The correct expression is $(19 + 77 x (0.5) )

And, the total mount in jar = 19 + 38.5 = $57.5

8 0

3 years ago