Please help thanks!!!
Answers
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Markmeasbrainliest
infraction=29/150
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Answers
The length of the altitude of the equilateral triangle is 9 units.
What is trigonometry?
The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Use the sin angle ratio and calculate,
Sine = Opposite / Hypotenuse
sin 60° = a / (6√3) But sin60° = √3/2
√3/2 = a/(6√3)
Cross multiply
2 x a = 6√3 x √3
2a = 6 x √(3 x 3)
2a = 6 x 3
a = 6 x 3/2
a = 3 x 3 = 9
Therefore, the length of the altitude of the equilateral triangle is 9 units.
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Sine = Opposite / Hypotenuse
sin 60° = a / (6√3) But sin60° = √3/2
√3/2 = a/(6√3)
Cross multiply
2*a = 6√3 * √3
2a = 6 * √(3*3)
2a = 6*3
a = 6*3/2
a = 3*3 = 9
Option E.
Hope this helps.
Answers
Answer: Breadth = 11 ; Length = 8
Step-by-step explanation:
Let the width of the rectangle be 'x'
Length of the rectangle = x - 3
Perimeter of the rectangle = 38
Perimeter of rectangle formula = 2 ( length + breadth )
Substitute:
2 ( x + x-3 ) = 38
2 ( 2x - 3 ) = 38
2x - 3 = 19
2x = 19 + 3
2x = 22
x = 11
Therefore, the breadth = 11
Length = x-3 = 11 - 3 = 8
To check, find the perimeter:
2( 11 + 8)
= 2 ( 19 )
= 38.
We get the same perimeter so the answer is correct.
Answer:
length =8
Step-by-step explanation:
x= width
x-3(3 inches less than the width)
x+x-3+x+x-3=38
4x-6=33. add 6 on both sides
4x=44 divide by 4
x=11. plug 11 in for x because 11 is the width. in the equation x-3. (x=width) 11-3= 8. The length is 8.
Answers
Answer:
7.5
Step-by-step explanation:
12/8 = 1.5; 12/2 =6; 6 + 1.5 = 7.5
Answer:
7.5 or 7½
Step-by-step explanation:
8x÷4 = 12÷4
2x = 3
x = 3/2 = 1.5
2y + 10 = 22
2y = 12
y = 6
1.5 + 6 = 7.5 = 7½