A student skipped a step swhen she tried to convert 15 hours to seconds and she got the following in correct resort

The diagram shows the entrance to a tunnel.

gladu [14]

Step-by-step explanation:

it filled up half the circle (up to the center point) - if we had a full circle. but a little bit is cut off (below AB).

what we see is that the shaded area is the sum of the area of the triangle AOB and 2 equally sized circle segment areas left and right of AOB.

since we are dealing with a half-circle, we have 180° in total. 120° are taken by AOB, so, that leaves us with 180-120 = 60° for both circle segments (so, one has an angle of 30°).

and 2×30° = 1×60°, so we can calculate the area of one 60° segment instead of two 30° segments.

AOB is an isoceles triangle (the legs are equally long, and therefore also the 2 side angles are equal).

the area of this triangle AOB is

1/2 × a × b × sin(C) = 1/2 × 3 × 3 × sin(120) =

= 3.897114317... m²

a circle segment area of 60° is 60/360 = 1/6 of the full circle area (as a full circle = 360°).

so, it's area is

pi×r² × 1/6 = pi×3²/6 = pi×3/2 = 4.71238898... m²

so, the total area of the shaded area is

3.897114317... m² + 4.71238898... m² =

= 8.609503297... m²

5 0

2 years ago

2.

scZoUnD [109]

Inversely proportional : it is relationship between two variables in which when one variable's value is increasing than other one is decreasing.

Situation A : The number of miles Rashid drives increases over a period of 5 hours.

→ in this situation both variable no. of miles and period of time are increasing. so it is not represent a inversely proportional relationship.

in next two situation , two variables are increasing with each other.

so we take last situation ↓

Situation : Robin has $100 to share evenly with his cousins at the fair. As the number of cousins who arrive increases, the amount that each person receives

decreases.

→ in this situation , both variable viz no. of cousins and amount they got is inversely proportional to each other. when no. of cousins are increasing than amount is decreasing. so this last one situation represent the inversely proportional relationship.

thanks ❤

4 0

3 years ago

The relationship between the length of one side of the Square, eggs, and the perimeter of the Square, why, can be represented in

oee [108]

Answer:

The points with coordinates (x, y) that are on the line of the equation of the line relationship between the side of a square, x and the perimeter, y include;

(1, 4), (2, 8), (3, 12) ....(n, 4·n).

Where n is a positive number.

Step-by-step explanation:

The formula to determine the length of the perimeter of a square is,

Length of the perimeter of a square = Length of a side of the square multiplied by 4.

That is Perimeter of square = Side of square × 4

The relationship between the length of one side of a square and the perimeter of the square can be represented by the equation

y = 4×d which is a straight line with a slope of 4 passing through the origin

Points o the line include

(1, 4), (2, 8), (3, 12), etc.

The x and y coordinates take the form

(x, 4·x)

5 0

3 years ago

How many diagonals can you draw from the vertex of an octagon

ludmilkaskok [199]

From one vertex of an octagon you can draw 5 diagonals.

There are 8 vertices in an octagon, and we are choosing one as our starting vertex. There are then 7 vertices left to draw a line to, but 2 of the vertices are already connected to our main vertex (because they are connected along the side of the octagon). That leaves 5 vertices to draw a diagonal to from our original vertex.

8 0

2 years ago

Type an equation for the following pattern

agasfer [191]

Answer:

y = x + 2

Step-by-step explanation:

It looks like its adding 2 everytime.

y = x + 2

7 0

3 years ago