When you write a number in expanded form, you separate the digits based on their place value and turn it into an addition expression. The answer is 30+2+0.0+0.03, or if your teacher doesn't require the extra 0.0, just remove it.
Hope that helped.
Hello!
6 - 9 × y = -15
When "less than" is used you switch the number before it the number after it. While it seems like it would be 9 -6, its actually 6-9
6 - 9 is -3, you can multiply 3 by 5, to get 15. So your answer would be 5
Hope this helps!
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Answer: -3, -2.5, -1, 2, 5.
Explanation:
The number line goes from the smallest number to the largest number. As an example you may ask why -3 is smaller than -1 even though it looks larger. This is because it actually isn’t since it is negative. When a number is negative, the higher the number are the smaller it is. One more example could be that -10 is smaller than -5.
There are 6 snails and 5 fish.
6:15, because
2:5
2+5=7
21/7=3
2:5(3)= 6:15
Answer:
13. x = 52.8°
14. 663.65 ft
15. 30.7 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between sides of a right triangle and trig functions of the acute angles.
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<h3>13.</h3>
The sides adjacent and opposite the angle are marked. The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(x°) = 2.5/1.9
The angle is found using the inverse tangent function:
x° = arctan(2.5/1.9) ≈ 52.8°
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<h3>14.</h3>
Again, the tangent relation comes into play. The given values are the side opposite and the angle, and we are asked for the side adjacent.
Tan = Opposite/Adjacent
tan(11°) = (129 ft)/(distance to shore)
distance to shore = (129 ft)/tan(11°)
distance to shore ≈ 663.65 ft
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<h3>15.</h3>
In this scenario, the given angle is opposite the given side of the triangle. The measure of the hypotenuse is needed.
Sin = Opposite/Hypotenuse
sin(71°) = (29 ft)/(ladder length) . . . . substitute given information
ladder length = (29 ft)/sin(71°) . . . . . . solve for ladder length
ladder length ≈ 30.7 ft
