Answer:
364.8 ft^2.
Step-by-step explanation:
I assume you want the area of the figure.
Total area = area of the top triangle + area of the trapezium
= 1/2 * base * height + 1/2 * height * ( sum of the parallel sides)
= 1/2 * 18 * 6 + (14/2)( 18 + 26.4)
= 54 + 310.8
= 364.8 ft^2.
We need the total count of persons = 10+12+12+15 = 49 persons
We need the count of the target group, female or teaching assistants
= (10+12) professors + 12 male teaching assistants
= 22+12
= 34 persons
Assuming equal probability of choosing anyone from the 30 persons, the
probability of choosing a professor or a male
= 34/49
(For probability calculations, try to keep a fraction for as long as you can, because fractions are exact. Decimal are frequently approximate, for example in this case, 34/49=0.693877551020...... = 0.694 approximately)
Step-by-step explanation:
i)
2(x+2)=7
2x+4=7
2x=7-4
2x=3
x=3/2
ii)3x + y =8 , y=x
3x + x = 8
4x = 8
x = 2
The value of y is 50
The angle measurement of angle AOB is 100°
<h3>Circle Geometry </h3>
From the question, we are to determine the value of y and the measure of angle AOB
From one the circle theorems, we have that
Angles in the <u>same segment</u> are equal
In the given diagram, x° and y° are angles in the same segment
∴ x° = y°
From the given information,
x = 50
∴ y = 50
Hence, the value of y is 50
Also, from another circle theorem,
Angle at the <u>center</u> is twice the angle at the <u>circumference</u>
∴ ∠AOB = 2x° = 2y°
Then,
∠AOB = 2×50°
∠AOB = 100°
Hence, the angle measurement of angle AOB is 100°
Learn more on Circle Geometry here: brainly.com/question/17074363
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Answer:
<h2><u><em>
(2s + 5) × (2s + 5)</em></u></h2><h2><u><em>
or</em></u></h2><h2><u><em>
(2s + 5)²</em></u></h2>
Step-by-step explanation:
A side of a square garden is represented by the expression 2s + 5. Which expression represents the area of the garden?
Area = s * s ( side x side or side²)
(2s + 5) * (2s + 5)
or
(2s + 5)²
