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2 years ago

The rate of planting the grass is ` x per square meter. Find the cost of planting the grass on a

Mathematics

1 answer:

kotegsom [21]2 years ago

3 0

Step1: Find the area of the triangular lawn

Given, base of the triangle is y metres and the height is z metres

Area of the triangle =

× base × height

Therefore, area of the triangular lawn =

yz metre

Step 2:Find the cost of planting the grass

Rate of planting the grass is Rs. x per square metre.

Therefore, the cost of planting the grass on a triangular lawn =cost per square meter × area of the triangular lawn

=x×

yz=

xyz

Hence, the cost of planting the grass on a triangular lawn whose base is y metres and height is z metres is Rs.

x y z.

Step-by-step explanation:

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How does the diagram show that the slope between any

tensa zangetsu [6.8K]

The diagram shows that the triangles on the graph had similar ratios, as such their vertical heights to their horizontal are equivalent.

Option D is correct.

<h3>What is the slope of a graph?</h3>

The slope of a graph determines the steepness of the graph and it is the difference between two points on the y-coordinate(rise) and the difference between two points on the x-coordinate(run).

$\mathbf{slope = \dfrac{rise}{run}}$

$\mathbf{slope = \dfrac{\Delta y}{\Delta x}}$

$\mathbf{slope = \dfrac{ y_2-y_1}{x_2-x_1}}$

From the diagram attached, we can see that the triangles on the graph had similar ratios, as such their vertical heights(y-coordinates) to their horizontal (x-coordinates) are equivalent.

Learn more about the slope of a graph here:

brainly.com/question/19376563

#SPJ1

4 0

2 years ago

Please answer the questions below

liubo4ka [24]

Answer:

see explanation

Step-by-step explanation:

(3)

Parallel lines have equal slopes

the equation of a line in sloipe- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = $\frac{1}{4}$ x + 5 ⇒ m = $\frac{1}{4}$

y = 4x + 5 ⇒ m = 4

y = - 4x + 5 ⇒ m = - 4

y = - 4x - 9 ⇒ m = - 4

the 3rd and 4th options have equal slopes and are parallel

(4)

given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$

y = $\frac{1}{6}$ x + 4 ⇒ m = $\frac{1}{6}$

y = - $\frac{1}{6}$ x + 5 ⇒ m = - $\frac{1}{6}$

y = $\frac{1}{6}$ x + 3 ⇒ m = $\frac{1}{6}$

y = 6x + 3 ⇒ m = 6

note that a slope of m = 6 , has a perpendicular slope of

$m_{perpendicular}$ = - $\frac{1}{6}$

the 2nd and 4th lines are perpendicular

6 0

2 years ago

A county government says that a safe level of chlorine in a hot tub is within 1.75 ppm of 3.25 ppm.

Schach [20]

Answer:

Part A : <u>|x-2.5| ≤ 0.75 , x ∈ [1.75,3.5]</u>

Part B : yes, the lifeguard should add more chlorine.

Step-by-step explanation:

Part A:

Let C is the variation of the level of chlorine in a hot tub.

Level of chlorine in a hot tub is within 1.75 ppm of 3.25 ppm.

To find absolute value inequality, need to find the standard level of chlorine 1.75 + C or 3.25 - C

1.75 + C = 3.25 - C

2C = 5

C = 2.5

So, the standard level would be 2.5 ppm,

If x represents the present level of chlorine,

Then it would be lie within 1.75 ppm of 3.25 ppm.

1.75 ≤ x ≤ 3.25

Subtract 2.5 from all sides

1.75 - 2.5 ≤ x -2.5 ≤ 3.25 - 2.5

-0.75 ≤ (x-2.5) ≤ 0.75

which is equivalent to the following absolute value inequality.

<u>And the solve of the inequality : x ∈ [1.75,3.5]</u>

Part B: If x = 1.0 ppm,

∴ |1.0-2.5| = 1.5 which is not less than equal to 0.75.

Another explanation:

the minimum safe level of chlorine in a hot tub is 1.75 ppm

Since 1 < 1.75

Therefore, lifeguard should add more chlorine.

8 0

3 years ago

mr green drive 100 miles in 2 hour he continus drive at this same speed if he does not stop how long will it take mr green to dr

olga nikolaevna [1]

Answer:

8 hours

Step-by-step explanation:

7 0

3 years ago

Mr. Burns organized the grades for 11 students in the boxplot below. None of the students earned the same grade. What percent of

leva [86]

Answer:

Step-by-step explanation:

6 0

3 years ago