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4 years ago

Hi, Please i need help with this question. Workings would be deeply appreciated .

Mathematics

1 answer:

kupik [55]4 years ago

8 0

Answer:

k = ⅕

Step-by-step explanation:

The slope-intercept equation for a straight line is

y = mx + b, where

m = the slope and

b = the y-intercept

Data:

(3,4) = a point on the line

(3k,0) = x-intercept

(0,-5k) = y-intercept

Calculations:

1. Slope

m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃

This makes the equation

y = ⁵/₃x - 5k

2. k

Insert the value of the known point: (3,4)

4 = (⁵/₃)(3) - 5k

4 = 5 - 5k

-1 = -5k

k = ⅕

The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .

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Convert 150 meters per second into miles per day

statuscvo [17]

just divide it is simple bruh

3 0

3 years ago

Help? im confused plss! Find the area of the regular polygon with the given radius or apothem

Snezhnost [94]

Answer:

50 cm²

Step-by-step explanation:

Given that the regular polygon is a square, there are multiple ways you can jump directly to the answer. Perhaps the simplest is to use the formula for the area of a rhombus:

A = 1/2(d1)(d2)

where d1 and d2 are the lengths of the diagonals. Here, we see that half the diagonal is 5 cm, so the area is ...

A = (1/2)(10 cm)(10 cm) = 50 cm² . . . . area of the polygon

Alternate solution

If you want to use the radius and the number of sides in a formula, you can consider the area of each triangle formed by radii and a side. That triangle has area ...

A = 1/2r²sin(α)

where r is the radius and α is the central angle. For an n-sided polygon, the area is the sum of n of these triangles, and the central angle is 360°/n. Then the polygon area is ...

A = n/2·r²·sin(360°/n)

For n = 4 and r = 5 cm, the area is ...

A = (4/2)(5 cm)²(sin(360°/4)) = 2(5 cm)²(1) = 50 cm² . . . . area of square

_____

Additional comment

The formula is somewhat different if you start with the length of the apothem. One way to find the area is using the above formula and the relation between the radius and apothem:

r = a·sec(180°/n)

Another formula uses the apothem directly:

A = n·a²·tan(180°/n)

8 0

2 years ago

PLEASE HELP

lions [1.4K]

This question is easy if you think about it. First get the area of the rectangular part of the shape and then find area of the two semi-circles then add them together.

First, let's solve for the rectangle because it's easier.

Area for finding a rectangle A = w * l

A = 23 * 37
A = 851

Now for the semi-circle. First use the equation for finding the area of a circle which is A = Pi * r^2. We'll use 3.14 for Pi.

We know the diameter is 23. And to get the radius we just half it because the radius is half of the diameter.

23 / 2 = 11.5

A = 3.14 * 11.5^2
A = 3.14 * 132.25
A = 415.265

Now we have the total area for both semi-circles. Because if we half 415.265 then add the other semi-circle's area it will be the same and adding them up will result in 415.265.

Now add up 851 and 415.265.

851 + 415.265 = 1266.265

3 0

3 years ago

What is the fraction that is equal to 0.534

Mandarinka [93]

Answer:

267/500

Step-by-step explanation:

0.534 = 534 / 1000

Simplify to 267/500

3 0

3 years ago

Read 2 more answers

What is this answer?

QveST [7]

Answer:

g>-3

Step-by-step explanation:

You divide -5 on both sides to get -3.

4 0

3 years ago