Answer:
Area of the wall to be painted = (11x² + 12x) square units
Step-by-step explanation:
The figure that should be attached to this question is missing. The figure was obtained and is attached to this solution provided.
From the image attached, it is given that the dimension of the rectangular wall to be painted is (4x+3) by (4x), the dimensions of the window is (2x) by (x) and the dimensions of the door is (x) by (3x).
Since, the window space and the door space cannot be painted along with the wall, the Area of the rectangular wall that will be painted will be given by the expression
(Total Area of the rectangular wall) - [(Area of window space) + (Area of door space)]
Area of a rectangular figure = Length × Breadth
Total area of rectangular wall = (4x+3) × 4x = (16x² + 12x) square units
Area of window space = (2x) × (x) = (2x²) square units
Area of door space = (x) × (3x) = (3x²) square units
Area of the wall to be painted = (16x² + 12x) - (2x² + 3x²)
= 16x² + 12x - 5x²
= (11x² + 12x) square units
Hope this Helps!!!
The different ways can a student check off one answer to each question is 1024.
It is required to find the different ways can a student check off one answer to each question.
<h3>What is probability?</h3>
probability is the ratio of the number of favorable outcomes and the total number of possible outcomes. The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.
Given:
If a multiple choice test consists of 5 questions each with 4 possible answers of which only one is correct,
,To find how many different ways can a student check off one answer to each question we have,
: 4^5 = 2^10
= 1024
Therefore, the different ways can a student check off one answer to each question is 1024.
Learn more about probability here:
brainly.com/question/11234923
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Answer:
CD = 4
Step-by-step explanation:
GH bisects CF <u><em>means</em></u> CF = 2 CD
CF = 2 CD
⇔ 2y - 2 = 2×(3y - 11)
⇔ 2y - 2 = 6y - 22
⇔ 22 - 2 = 6y - 2y
⇔ 20 = 4y
⇔ y = 5
<u>Calculating CD ,For y = 5</u> :
CD = 3y - 11
= 3(5) - 11
= 15 - 11
= 4
Its a obtuse angle since 7^2 is 49 7^2 is 49 and 12^2 is 144
144 is bigger than 90 so its obtuse triangle
