Answer:7=0.5 |x-4| -3
+3 +3
10=0.5 |x-4|
10/0.5=0.5/0.5 |x-4|
20=|x-4|
^
-20=x-4 20=x-4
+4 +4 +4 +4
-16=x 24=x
The answers are -16=x and 24=x
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(a) The measure of the indicated angle for figure 1 is 48⁰.
(b) The measure of the indicated angle for figure 2 is 42⁰.
<h3>Measure of the indicated angle</h3>
The measure of the indicated angles can be calculated as follows;
<h3>Figure 1</h3>
sinθ = opp/hypo
sinθ = 72/97
sinθ = 0.7423
θ = sin⁻¹(0.7423)
θ = 47.9⁰ ≈ 48⁰
<h3>Figure 2</h3>
sinθ = 65/97
sinθ = 0.6701
θ = sin⁻¹(0.6701)
θ = 42.1⁰ ≈ 42⁰
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Answer:
The prism is 3 by 3 by 1.5.
Step-by-step explanation:
The prism has a length x and a width x. Since it is a square at the base both length and width are the same amount x. The height is "half the length of one edge of the base". Since the base is x, this makes it 1/2x.
The volume's prism is found using V = l*w*h. Substitute and simplify.
13.5 = x*x*1/2x
13.5 = 1/2 x^3
27 = x^3
3 = x
The prism is 3 by 3 by 1.5.
Answer:
10(x+y)
Step-by-step explanation:
the sum is addition
The value of sine theta = negative eight-seventeenths ⇒ 2nd
Step-by-step explanation:
Let us revise the quadrant of an angle its terminal side passes through a given point
- If the given point is (x , y), then the angle lies in the 1st quadrant
- If the given point is (-x , y), then the angle lies in the 2nd quadrant
- If the given point is (-x , -y), then the angle lies in the 3rd quadrant
- If the given point is (x , -y), then the angle lies in the 4th quadrant
∵ The terminal side of angle Ф passes through P (15 , -8)
∵ x = 15 and y = -8
- P is (x , -y), then the angle Ф lies in the 4th quadrant
∵ The terminal side of angle Ф is the hypotenuse of a right
triangle whose horizontal leg is 15 units and vertical leg
is -8 units
- Use Pythagoras Theorem to find the length of the hypotenuse
∴ Hypotenuse =
units
∵ sinФ = 
∵ The side opposite to Ф is -8
∵ The hypotenuse is 17
∴ sinФ = 
The value of sine theta = negative eight-seventeenths
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