Answer: See below.
The sine ratio is the ratio of the opposite side over the hypotenuse in a right triangle. The hypotenuse is always the largest side of a triangle.
Therefore, the denominator will always be the largest. If the denominator is larger than the numerator, it will be a number less than one.
And it will be positive because it is an acute angle so the triangle when plotting in the unit circle would only be in the first quadrant. All values in the first quadrant are positive.
Answer:
Hence x = -1 and y = 18
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Step-by-step explanation:
Given the system of equations
y + 8x = 10... 1
2y - 4x = 40 ... 2
From 1; y = 10-8x
Substitute into 2;
2(10-8x) - 4x = 40
20 - 16x - 4x = 40
20 - 20x = 40
-20x = 40 - 20
-20x = 20
x = -1
Recall that y = 10-8x
y = 10 - 8(-1)
y = 10 + 8
y = 18
Hence x = -1 and y = 18
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Answer:
The answer is D
Step-by-step explanation:
You can find it by expanding the equation in the form of y = mx + b :
y - 4 = 3(x + 1)
y - 4 = 3x + 3
y = 3x + 3 + 4
y = 3x + 7
Then, looking at the equation "b" is a y-intercept. The line that touch/passes through y-axis is called <u>y</u><u>-</u><u>i</u><u>n</u><u>t</u><u>e</u><u>r</u><u>c</u><u>e</u><u>p</u><u>t</u>. From the equation, we know that 7 is the y-intercept.
By looking at the diagram, only Graph D is suitable for this equation because the line has touches 7 at y-axis.
Answer:
Step-by-step explanation:
41
Solution:
0.3 × 2.7
Using Distributive property of multiplication with respect to subtraction the value of multiplication of two rationals or two decimals
⇒0.3 × (3-0.3)
⇒ 0.3 × 3 - 0.3 × 0.3
⇒ 0.9 - 0.09
= 0.81
H C F of 0.3 and 2.7 is 0.3.
The Equivalent of product of 0.3 × 2.7 are
1.→0.9 × 0.9
2.→→ 3 × 0.27