Answer:
= 8sqrt2
Step-by-step explanation:
Area of a trapezium is given by the formula;
1/2(a+b)h
;
Where a and b are the parallel sides and h is the perpendicular height.
a = 3 cm, b= 5 cm
To get; h, we use the Pythagoras theorem;
h² = 3² - 1²
h² = 8
h = √8
= √4√2
= 2√2
Thus;
Area = 1/2(3 +5) 2√2
= 1/2 ×8 × 2√2
<u> = 8√2 cm² or 8sqrt2 cm²</u>
Angle-5 and angle-7 are 'vertical angles', so they're equal,
and we can write ...
<u>10x- 9 = 9x</u>
Subtract 9x from each side: x - 9 = 0
Add 9 to each side: <u> x = 9</u>
Now that we know what 'x' is, we can find the size of Angles-5 and -7 .
Angle-7 = 9x = 81° .
Now look at Angle-6 ... the one that's the answer to the problem.
Angle-6 and -7 together make a straight line, so they must
add up to 180°.
<u>Angle-6 + 81° = 180°</u>
Subtract 81° from each side: Angle-6 = <em>99° .</em>
Formula for the area of a circle: A = pi * r^2
A semi-circle is half of a circle. So, we will need to divide the area of the total circle by 2 to find the area of a semi-circle.
r = d / 2
r = 6 / 2 = 3
A = pi * 9
A = 9pi
Semi-circle:
A = 9pi / 2
A = 4.5 pi cm^2 or 14.14 cm^2
Hope this helps!! :)
To find a specific percent of the number, first find the smallest scale division of the designated percent, or 1%. To find 1% of 13,530, divide it by 100, which yields 135.30. Then, multiply this 135.30 by 6 to find 6%. This comes out to 811.8.
Hope this helps.
Answer: We have many options:
1) 15 artists, with 2 paintings per artist.
2) 10 artists, with 3 paintings per artist.
3) 6 artists, with 5 paintings per artist.
4) 5 artists, with 6 paintings per artist.
5) 3 artists, with 10 paintings per artist.
6) 2 artists, with 15 paintings per artist.
by different artists, then the number of artists must be more than 1.
each artist shows more than 1 painting: >1 painting/artist
(30 oil paintings)/(2 paintings/artist)=15 artists
(30 oil paintings)/(3 paintings/artist)=10 artists
(30 oil paintings)/(5 paintings/artist)=6 artists
(30 oil paintings)/(6 paintings/artist)=5 artists
(30 oil paintings)/(10 paintings/artist)=3 artists
(30 oil paintings)/(15 paintings/artist)=2 artists
