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klio [65]
3 years ago
11

How do i find the area of a trapezoid? please make your answer simple yet descriptive...

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
4 0
A = a+b/2 x h
Add sides a and b then divide by 2
After that multiply by the h
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If the streets of a city are straight lines and the intersections are points, show how Principle 2 and Principle 3 might be illu
Naily [24]

Step-by-step explanation:

In the plane geometry Abeka, second edition, it is given :

Principle 2 states that between any two points, only one straight line can be drawn.

And according to principle 3 two straight lines interacts at one point only.

Thus this can be well illustrated by two straight lines which are represented by the streets of a city and these two streets intersects at a point.

6 0
3 years ago
15. a)
frutty [35]

Answer:

The correct answer is - A)8% B) 3%

Step-by-step explanation:

A) Let assume:

the cost price of the goods - $y.

the selling price of the goods - $x.

Given: The retailer sold at 4% discount, or 0.96x (100% - 4% = 96%). Since the goods were sold to make 20% profit, therefore it was sold for:

1.2y (100% + 20% = 120%).

Solution:

The refrigerator was sold at 13% VAT at Rs. 10848:

then,

=> 1.2y + 13%(1.2y) = 10848

=> 1.2y + 0.156y = 10848

=> 1.356y = 10848

=> y = 8000

Thus, the cp is Rs 8000.

The selling price is:

=> 0.96x = 1.2y

=> 0.96x = 1.2(8000)

=> x = 10000

The sp is Rs. 10000

For a profit of 15%, that is 1.15(8000) = 9200, the discount is:

(1 - discount)10000 = 9200

1 - discount = 0.92

Discount = 1 - 0.92 = 0.08 or 8%

B) Let C & M as cost price & marked price of the scanner machine respectively.  

(1 + 20/100)*C = 41400

or (6/5)*C = 41400

or C = (5/6)*41400

= 34500 (Rs)

(1 - 10/100)*(1 + 15/100)*M = 41400

or (9/10)*(23/20)*M = 41400

or M = (10/9)*(20/23)*41400

= 40000 (Rs)

Let R% as the reduction in the percent in discount  

(1 - 10/100 + R/100)*(1 + 15/100)*M

= (1 + 20/100 + 4/100)*C

or (9/10 + R/100)*(23/20)*40000

= (31/25)*34500

or 9/10 + R/100

= (20/23)(31/25)*(345/400)

or R/100 = 0.93 - 0.9 = 0.03

or R = 3%

7 0
3 years ago
There is a proportional relationship between your distance from a thunderstorm and the time from when you see the lightning and
eimsori [14]

Answer:

Yes.

Step-by-step explanation:

The relation would be 3 = k*9  as there is a direct proportional relationship.

So k = 3/9 = 1/3  and we can write the relation as d = 1/3 t   where d=distance and t = time.

So if we double the time t we have:-

d = 1/3 * 18

= 6 kilometers.

So the distance is doubled.

3 0
3 years ago
= 2 - 4
jekas [21]

Answer:

Please find attached the required inverse of a function chart

Step-by-step explanation:

The inverse of a function is found by reversing the operations of the  function

The inverse of the function f(x) = 2·x - 4 is found as follows;

x = 2·x - 4

x + 4 = 2·x

x = (x + 4)/2 = x/2 + 2

Therefore, the inverse of the function f(x) = 2·x - 4 is f(x) = x/2 + 2

The inverse function is plotted by generating data points as follows;

{}x         {}          f(x)

0                2

1                  2.5

2                 3

3                  3.5

4                   4

5                   4.5

6                   5

7                   5.5

8                   6

9                   6.5

10                  7

11 {}                   7.5

12{}                    8

13                 8.5

14                  9

15                  9.5

16               10

5 0
3 years ago
Mari and Jen each work 20 hours a week at different jobs. Mari earns twice as much as Jen. Together they earn $480. How much doe
Salsk061 [2.6K]
We will call:
M=Mari
J=Jen

Initial equations:

M=2J
M+J=480
(the fact that they work 20 hours a week is not needed in this problem information)

Plug in:
2J+J=480
3J=480
J=160

Jen makes $160 a week.

Therefore:

M=2J
M=2(160)
M=320

Mari makes $320 per week
Jen makes $160 per week
7 0
3 years ago
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