An item was sold for Rs 540 with a profit of 5% . What was its cost price?

How do you remember how to find the side of a triangle and the inide using SOH CAH TOA

horrorfan [7]

In this right triangle, you are given the measurements for the hypotenuse, c, and one leg, b. The hypotenuse is always opposite the right angle and it is always the longest side of the triangle. To find the length of leg a, substitute the known values into the Pythagorean Theorem. Solve for a2.

7 0

3 years ago

Read 2 more answers

A family has two cars. The first car has a fuel efficuency of 15 miles per gallon of gas and the second has a fuel efficiency of

SVEN [57.7K]

Answer:

x= 35 gallons consumed by 1st car

and y= 40 gallons consumed by 2nd car

Step-by-step explanation:

Fuel efficiency of 1st car = 15 miles per gallon

Fuel efficiency of 2nd car = 35 miles per gallon

Let x= gallons consumed by 1st car

and y= gallons consumed by 2nd car

Total gallons consumed by both cars = 75

so, we can write

x + y = 75

Miles covered by both cars = 1925 miles

and we know, Fuel efficiency of 1st car = 15 miles per gallon

Fuel efficiency of 2nd car = 35 miles per gallon

we can write the equation as

15 x + 35 y = 1925

where x and y are gallons consumed by 1st and 2nd car.

We have two equation now,

x + y = 75 (1)

15 x + 35 y = 1925 (2)

Multiplying eq(1) with 15 and subtracting eq (1) and 2

15 x + 15 y = 1125

15 x + 35 y = 1925

- - -

_______________

0 - 20 y = -800

y= -800 / -20

y = 40

Putting value of y in equation 1

x + y = 75

x + 40 = 75

x= 75 - 40

x = 35

x= 35 gallons consumed by 1st car

and y= 40 gallons consumed by 2nd car

4 0

3 years ago

Is perpendicular to ? Explain.

olga2289 [7]

Two lines are perpendicular if and only if the product of their slopes is - 1.

So, you just need to find the slope of each line and find out the product of their slopes.

I will do one example for you.

L1: y = 3x + 5

L2: y = - 3x + 14

L3: y = -x/3 + 14

The slope of a line is the coefficient of the x.

So the slopes are:

L1: slope 3
L2: slope -3
L3: slope -1/3

So now multiply the slopes of each pair of lines:

L1 and L2: 3 * (-3) = - 9 => No, they are not perpendicular

L2 and L3: (-3) * (-1/3) = 1 => No, they are not perpendicular

L1 and L3: (3) * (-1/3) = -1 => Yes, they are penpendicular.

6 0

3 years ago

Read 2 more answers

12, 9, 15, 19, 20, 15 Mean Median Mode

Ede4ka [16]

Answer:

Mean: 15

Median: 15

Mode: 15

Step-by-step explanation:

<h2>Definitions:</h2>

Mean: It represents the average value of a given data set. The formula for finding the mean of a given set of numbers by taking the quotient of all numbers and the number of values. In other words:

$\displaystyle\mathsf{Mean\:=\:\frac{Sum\:of \:all\: values}{Number\:of\:values \:in\: a \:given \:data\:set}}$

Median: It represents the middle value in a given set of numbers. In order to determine the median, it is essential to arrange the given data either in ascending or descending order (although it is customary to arrange the numbers into ascending order).

If there is an odd number of values in a given set, then the middle number is the median of that set.

If a given list comprises of an even number of items, then we must take the average of the two middle numbers.

Mode: It represents the number that occurs most often on a list of items or data.

<h2>Solution:</h2><h3>Find the Mean:</h3>

Using the formula provided in the previous section for finding the mean:

$\displaystyle\mathsf{Mean\:=\:\frac{Sum\:of \:all\: values}{Number\:of\:values \:in\: a \:given \:data\:set}}$

$\displaystyle\mathsf{Mean\:=\:\frac{12+9+15+19+20+15}{6}\:=\:\frac{90}{6}\:=\:15}$

<h3>Find the Median:</h3>

Arrange the given data set in ascending order:

12, 9, 15, 19, 20, 15 ⇒ 9, 12, 15, 15, 19, 20

Next, since there is an even number of items on our given data set, we must take the average of the two middle numbers (which are 15 and 15):

$\displaystyle\mathsf{Median\:=\:\frac{15+15}{2}\:=\:\frac{30}{2}\:=\:15}$

Therefore, the median is 15.

As described in the previous section of this post, the mode is the number that occurs most often on our given data. The only repeating number on our list is 15, hence it is the mode.

Therefore, the mean, median, and mode of the given data set is 15.

6 0

3 years ago

Check attachment for picture but please help with extraneous solution:

Firlakuza [10]

It's C.!!!!!!!!!!!!!

6 0

3 years ago

Read 2 more answers