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3 years ago

Write the relation as a set of ordered pairs.

Mathematics

1 answer:

madreJ [45]3 years ago

8 0

Answer:

option (d) is correct.

Step-by-step explanation:

Given the table

x -3 0 3

y -6 0 6

An ordered pair (x, y) is a composition of the x-coordinate and y-coordinate.

For example, the ordered pair (1, 2) is a composition of the x-coordinate i.e. x = 1 and y-coordinate i.e. y = 2.

The relation can be determined by converting all the points in the table via the ordered pairs and combining all of them such as ordered pairs:

{(-3, -6), (0, 0), (3, 6)}

Therefore, option (d) is correct.

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Vignesh owns a cottage in the shape of a cube with each edge of length 26 feet. The roof is in the shape of a square pyramid and

Zina [86]

Answer:

56√93 ≈ 540 ft²

Step-by-step explanation:

The roof is made up of 4 congruent isosceles triangles. Since the roof extends 2 ft over the edge of the cottage on each side, then the base of each triangle is 26 + 2 = 28 ft.

Let's calculate the area of one of the triangles and then just multiply by 4. See attachment. Drop a perpendicular from the vertex of a triangle to its base. We now have the triangle broken up into two right triangles. The hypotenuse is 17 ft and one of the legs of the right triangle is 28 / 2 = 14 ft. Then the height / other leg is:

$\sqrt{17^2-14^2} =\sqrt{289-196} =\sqrt{93}$

We now have the dimensions of each triangle: the height is √93 and the base is 28. The area of a triangle is: A = (1/2) * b * h, so we have the following.

A = (1/2) * b * h

A = (1/2) * 28 * √93 = 14√93

Multiply this by 4:

14√93 * 4 = 56√93

The total surface area is 56√93 ≈ 540 ft².

4 0

3 years ago

Read 2 more answers

The ratio of the radii of two distinct spheres is 3:4. what is the ratio of their respective surface areas?

Naya [18.7K]

Hey , here is the answer to ur question.....!
Given: Radii is in the ratio 3:4
To find : ratio of Surface area of the two distinct spheres
Solution: Surface area of a sphere =4* pi *r^2
=>(3/4)^2=9/16
Therefore , the ratio of the areas of teh two distinct spheres=9:16
Hope this helps u!!!!!!.........

7 0

3 years ago

PLS HELP I WILL GIVE BRIANLY!! 2/5 x 5/4 in fraction in its simplest form

olga nikolaevna [1]

Answer:

The answer is 1/2. When you multiply the numerator and denominator, you get 10/20. If you divide the top and bottom by 5, you get 1/2.

8 0

3 years ago

Fran swims at a speed of 2.8 mph in still water. The Lazy River flows at a speed of 0.6 mph. How long will it take Fran to swim

kati45 [8]

Answer:

1. Upstream Time: 1 hour (or 60 minutes)

2. Downstream Time: 0.65 hour (or 39 minutes)

Step-by-step explanation:

The time it will take goes by the distance formula:

$D=RT$ , where D is the distance, R is the rate (speed), and T is the time.

For Upstream, you are going against the current, so your still water speed slows down. So upstream rate is still water rate - stream rate. So 2.8 - 0.6 = 2.2mph

Time it will take him to swim 2.2 miles, is:

$D=RT\\2.2=2.2(T)\\T=\frac{2.2}{2.2}=1$

So, 1 hour

For Downstream, you are going with the current, so your still water speed increases. So downstream rate is still water rate + stream rate. So 2.8 + 0.6 = 3.4 mph

Time it will take him to swim 2.2 miles, is:

$D=RT\\2.2=3.4(T)\\T=\frac{2.2}{3.4}=0.65$

So, 0.65 hours (or 0.65*60=39 minutes)

5 0

3 years ago

Solve 2x-3y=9 for y in terms for x

Verizon [17]

Answer:

y = 2/3x - 3

Step-by-step explanation:

Just rearrange the equation:

2x - 3y = 9

-3y = -2x + 9

y = -2/-3x + 9/-3

y = 2/3x - 3

7 0

3 years ago

Read 2 more answers