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ExtremeBDS [4]
1 year ago
11

What is the length of Line segment B C? Round to the nearest tenth. Triangle A B C is shown. Angle B C A is a right angle and an

gle C A B is 65 degrees. The length of hypotenuse B A is 16 centimeters and the length of B C is x. 6.8 cm 7.5 cm 14.5 cm 17.7 cm
Mathematics
2 answers:
Arturiano [62]1 year ago
8 0

Answer:

14.5 =x

Step-by-step explanation:

Since this is a right triangle we can use trig functions

sin theta = opposite side/ hypotenuse

sin A = BC / AB

sin 65 = x /16

Multiply each side by 16

16 sin 65 =x

14.50092459 =x

14.5 =x

Drupady [299]1 year ago
4 0

Answer:

C on edge

Step-by-step explanation:

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What integer is equivalent to 25 3/2
antiseptic1488 [7]
<span><span><u>Answer</u>
26 1/2 is not equivalent to and integer but it can be approximated to 27 which is an integer.

<u>Explanation</u>
An integer is a whole number. It is a number that is not a fraction.
253/2=25+3/2=25+1 1/2=26 1/2
</span><span>26 1/2 is not equivalent to and integer but it can be approximated to 27 which is an integer.
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1 year ago
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Given that line s is perpendicular to line t, which statements must be true of the two lines? Check all that apply.
artcher [175]
The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is - 1.

So, from that basic knowledge you can analyze each option:

<span>a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = - 1 => slope_1 = - 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. - 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is - 1/6.

So, the right choices are a, c and g.
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5 0
1 year ago
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The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5.
castortr0y [4]

Let's say x is J because it's Lemon Juice.

It's said that the pH of J is less than 4 so: pH(J) < 4 and pH(J) is greater than 1.5 so: pH(J) > 1.5

Now we can construct:

1.5 < pH(J) \wedge pH(J) < 4

Or simply:

1.5 < pH(J) < 4

We can also write this with an interval:

pH(J)\in(1.5, 4)

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