All categories

2 years ago

Q4. The diagram shows a triangle inside a rectangle.

Mathematics

1 answer:

Yanka [14]2 years ago

4 0

The prove to show that the area of the shaded portion is 18x - 30 is as follows: 3x² + 13x - 30 - 3x² + 5x = 18x - 30

<h3>How to find the area of the shaded region?</h3>

The area of the shaded region can be represented as follows:

area of the shaded region = area of rectangle - area of triangle

Therefore,

area of the rectangle = (x + 6)(3x - 5)

area of the rectangle = 3x² - 5x + 18x - 30

area of the rectangle = 3x² + 13x - 30

area of triangle = 1 / 2 × 2x × 3x - 5

area of triangle = 3x² - 5x

Therefore,

area of the shaded portion = 3x² + 13x - 30 - 3x² + 5x

area of the shaded portion = 18x - 30

learn more on area here: brainly.com/question/21208569

#SPJ1

You might be interested in

What is the simplification of (-2x+4) + 2(2x+1)

melomori [17]

(-2x+4)+2(2x+1)= -2(-x-3)

4 0

3 years ago

Rounded to the nearest inch , what is the appoxiomate circumference of a circle with a diameter of 40 inches (Use pi = 3.14

sweet-ann [11.9K]

С = πD
С = 3,14×40
С = 126 in ← <span>to the nearest inch </span>

3 0

3 years ago

For the concentric circles shown, the radius of the inner circle is 3 centimeters and the distance from the

Tema [17]

Answer:

Step-by-step explanation:

Area of the inner circle = 3^2 π = 9 π

total area = 10^2 π = 100π

area of the shaded region

100π - 9 π = 91 π

5 0

2 years ago

Helpppppppopoppppppooooopppppoppppp

Zepler [3.9K]

I think it's C, because first you multiply all the sides which is 112 then multiply by 3 and the answer it's 336 if I'm correct.

7 0

3 years ago

Paulo catches a 7.45 am tram to school. During a period of 79 days, he arrives at school on time 53 occasions. Estimate the prob

lawyer [7]

Answer:

Step-by-step explanation:

<u>Probabilities</u>

One approach to estimating the probability of occurrence of an event is to record the number of times that event happens (e) and compare it with the total number of trials (n).

The probability can be estimated with the formula:

$\displaystyle P=\frac{e}{n}$

And the probability that the event doesn't occur is

Q = 1 - P

Paulo arrives on time to school e=53 times out of n=79 times. The probability that he arrives on time is:

$\displaystyle P=\frac{53}{79}$

P = 0.67

And the probability he arrives late is:

Q = 1 - 0.67 = 0.33

4 0

3 years ago