Help please, 25 points

Mathematics

1 answer:

amm18122 years ago

8 0

Answer:

Step-by-step explanation:

You might be interested in

A total of 628 tickets were sold for the school play. They were either adult tickets or student tickets. There were 72 fewer stu

myrzilka [38]

350 adult tickets were sold

4 0

3 years ago

A 5 mile jogging path diagonal divides a rectangular park in half. The park is 4 miles long. Find the width of the park.

levacccp [35]

Answer: The required width of the park is 3 miles.

Step-by-step explanation: Given that a 5 mile jogging path diagonal divides a rectangular park in half and the park is 4 miles long.

We are to find the width of the park.

As shown in the attached figure below, the diagonal BD divides the rectangle ABCD into two equal parts,

where length DA = 5 miles, BD = 4 miles and AB = width = ?

Since each angle of a rectangle is right-angle, so triangle ABD will be a right-angled triangle.

Using Pythagoras theorem in triangle ABD, we have

$BD^2=AB^2+DA^2\\\\\Rightarrow AB=\sqrt{BD^2-DA^2}\\\\\Rightarrow AB=\sqrt{5^2-4^2}\\\\\Rightarrow AB=\sqrt{25-16}\\\\\Rightarrow AB=\sqrt{9}\\\\\Rightarrow AB=3.$

Thus, the required width of the park is 3 miles.

7 0

2 years ago

Express 0.0000000001203 in scientific notation

scoundrel [369]

Count how many decimal places you need to move to the right until you get to:

1.203 and then multiply that by 10 raised to the power of the number of places you moved the decimal point...in this case it had to move 10 places so:

1.203X10^-10

8 0

2 years ago

Read 2 more answers

A, B, and C are collinear, and B is between A and C. The ratio of AB to BC is 3 : 1.

S_A_V [24]

Coordinates of point C: (1,-1)

Step-by-step explanation:

In this problem, A, B and C are collinear, and B is between A and C.

The ratio AB : BC is 3 : 1.

This means that we can write the following two equations:

$x_B-x_A = 3(x_C-x_B)\\y_B-y_A=3(y_X-y_B)$