Answer:
15.8 cm²
Step-by-step explanation:
Please see attached photo for diagram.
We'll begin by calculating the angle A. This can be obtained as follow:
B = 56°
C = 78°
A =?
A + B + C = 180 (Sum of the angle in triangle)
A + 56 + 78 = 180
A + 134 = 180
Collect like terms
A = 180 – 134
A = 46°
Next, we shall determine the value of b by using the sine rule. This can be obtained:
Side opposite angle C (c) = 7.2 cm
Angle C = 78°
Angle B = 56°
Side opposite angle B (b) =?
b/Sine B = c/sine C
b/Sine 56 = 7.2/Sine 78
Cross multiply
b × Sine 78 = 7.2 × Sine 56
Divide both side by Sine 78
b = 7.2 × Sine 56 / Sine 78
b = 6.1 cm
Finally, we shall determine the area of the triangle. This can be obtained as follow:
Side opposite angle C (c) = 7.2 cm
Side opposite angle B (b) = 6.1 cm
Angle A = 46°
Area (A) =?
A = ½bcSineA
A = ½ × 6.1 × 7.2 × Sine 46
A = 15.8 cm²
Therefore, the area of the triangle is 15.8 cm²
The pic is a little blury?????
Answer:
radius = 7.998170905 or about 8 units of measurement
Based on the diagram and the ratio of width and height in it, the width that Mr. Howell should make his table is 48 inches .
<h3>How wide should Mr. Howell's table be?</h3>
The width of the table in the diagram is 12 cm and the height is 6cm.
This means that the ratio of width to height is:
12 : 6
2 : 1
As Mr. Howell wants his table to be 24 inches high, the width of the table would be:
2 : 1
x : 24
Cross-multiply to get:
x = 48 inches
Find out more on ratios at brainly.com/question/20594266
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The coordinates of the vertices of LMN acquired a -ve sign to form the image L'M'N'. The line passes through the origin.
Step-by-step explanation:
When a point is rotated through 180° about the origin clockwise/anticlockwise, the coordinates of the object point T (h,k) takes a new position (-h,-k) to form the image T'. A line joining an object point to its image point will pass through the origin that is the center of rotation.
Learn More
Rotation about the origin through 180°: brainly.com/question/7747099
Keywords : Rotate, origin,graph, triangle
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