triangle on right is the same as the triangle on the left
use pythagorean theorem
hypotenuse will give to the sides of the rectangle
a^2 + b^2 = hypotenuse squared
10.4^2 = 108.16
15.3^2 = 234.09
342.25 = hypotenuse squared
take the square root in both sides
hypotenuse = the square root of 342.25 =
18.5
add up the areas of the 2 triangles and rectangle
triangle area is 1/2 times 10.4 times 15.3 =
79.56
2 triangles areas are 159.12
rectangle area is 18.5 × 7 = 129.5
159.12 + 129.5 = 288.62
answer 1 = 288.62
second question:
to get 1 side take the
square root of 702.25 which is
26.5
to get the perimeter
multiply 26.5 by 4 which is
106
answer 2 is choice B 106
Answer:
option 1 not function....
11 as many fiction books as non fiction.
Fiction books F, Non Fiction NF
F: NF = 11 : 1
Total ratio 11+ 1 = 12.
Fraction of Fiction books F, = 11/12
Total books = 312.
Fiction books = 11/12 * 312 = 286
Fiction books = 286
The missing side and angles are 16.8 , 23.33 degree and 123.7 degree respectively.
<h3>What is a Triangle ?</h3>
Triangle is a polygon with three sides , three angles and three vertices.
Given is triangle ABC , with sides a = 8, c = 11, and m∠C=33 degree
The missing angle and side is given by Cosine rule of triangle
c² = a² + b² - 2ab cosC
11² = 8² + b² - 2* 8 * b * cos 33
57 = b² -13.42 b
b² -13.42b -57 = 0
b = 16.8
By sine rule
a / sin A = b/sin B = c/sinC
8 / sin A = 11 / sin 33
A = 23.33 degree
Similarly
B = 123.7 degree
Therefore the missing side and angles are 16.8 , 23.33 degree and 123.7 degree respectively.
To know more about Triangle
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Answer:
BADC
Step-by-step explanation:
-4x + 7
27 Subtract 7
-4x
20 Divide both sides by -4
x
-5 B
3x - 10 < -25 Add 10
3x < -15 Divide by 3
x < -5 A
5(x - 2) > -15 Use distributive property
5x - 10 > -15 Add 10
5x > -5 Divide by 5
x > -1 D
x - 9 < -10 Add 9
x < -1 C