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zzz [600]
3 years ago
11

3 ( x + 7 ) < 7 ( x + 2 )

Mathematics
1 answer:
Gre4nikov [31]3 years ago
5 0
3(x+7)<7(x+2)

Inequality Form: x>7/4
Interval Notation: (7/4, infinity)
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Urgent, please i will give brainliest
Ne4ueva [31]

Answer:

1. \frac{\sqrt{13} }{3}

2. 3.2362

3. \frac{60}{11}

Step-by-step explanation:

1.

Cot is the trigonometric ratio defined by "adjacent" over "opposite". <em>So, adjacent = 2 and opposite = 3.</em>

By pythagorean theorem, we have the "hypotenuse" as  \sqrt{2^2+3^2}=\sqrt{13}

Csc is defined as the trig ratio "hypotenuse" over "opposite". <em>We know the sides, so Csc \theta = \frac{\sqrt{13} }{3}</em>

<em />

<em>First answer choice is right.</em>

<em />

2.

By definition, Csc \theta is the inverse of Sine \theta. <em>If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:</em>

Csc\theta=\frac{1}{0.3090}\\=3.2362

Third answer choice is right.

3.

By definition tan and cot are inverse of each other. <em>So the value of tan is the reciprocal of the value of cot.</em> We can simply "flip" the value of tan theta to get the value of cot theta. Hence:

Cot\theta=\frac{60}{11}

Third answer is right.

3 0
3 years ago
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The perimeter of a rectangular field is 374 yard. If the length of the field is 99 yards, what is its width?
likoan [24]
The perimeter of a rectangle is 2*L+2*W. Knowing that length is 99, we do 2*99 to get 198.Do 374-198, which is 176, we know that that is twice the length of the width. Therefore the width is 176/2, which is 88.
3 0
3 years ago
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A pony keg (quarter barrel) of beer contains 62 pints.  If the local drinking establishment sells draft beer in 300 mL pilsner g
Sergeu [11.5K]
1 US pint = 473.176473 milliliters 473.176473 x 62 = 29,336.941326 29,336.941326 / 300 = 97.78980442 ~ 97 glasses are in a pony keg
3 0
4 years ago
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the cost to rent a jet ski is $80 per hour. you must also pay a flat fee of $25 for a lesson on how to use the jet ski. write th
motikmotik
Y=mx+b
y=80x+25
for every hour you must pay 80$
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and B is the rate you must pay anyway for the lesson and how many hours you have rented.
4 0
4 years ago
What is the scale factor
nadezda [96]

Answer:

2/5

Step-by-step explanation:

Since it's from a big square to a smaller square, the smaller number will be at the top. Also, use the same side to find the scale factor, but since this is a square and all sides of a square are equal, it doesn't matter but in other shapes it does so practice i guess:

Left side of big square: 5

Left side of small square: 2

So scale is 2/5

To confirm:

5 · 2/5 = 10/5 = 2, we're right

5 0
3 years ago
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