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2 years ago

What is UT?

Mathematics

1 answer:

kenny6666 [7]2 years ago

8 0

In the right triangle given, the length of UT using the Pythagorean theorem is: UT = 15.

<h3>What is the Pythagorean Theorem?</h3>

Pythagorean theorem is given as: c² = a² + b², where a and b are the legs of a right triangle, and c is the hypotenuse (the side opposite the right angle).

Given:

c = TV = 17

a = UT = ?

b = UV = 8

Plug in the values

17² = UT² + 8²

UT = √(17² - 8²)

UT = 15.

Thus, in the right triangle given, the length of UT using the Pythagorean theorem is: UT = 15.

Learn more about the Pythagorean theorem on:

brainly.com/question/21332040

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What is the slope for y=7/2x - 2?

barxatty [35]

Easy peasy
slope intercept form is y=mx+b where m=slope

we see taht we have y=7/2x-2
therefor m=slope=7/2
the slope is 7/2

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3 years ago

Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178

dangina [55]

Answer:

$2S+178\ge 2,000,$

$[911,\infty).$

Step-by-step explanation:

Let S be the number of cans that Shane had collected.

Abha had collected 178 more cans than Shane did, then Abha had collected S+178 cans.

Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling, this means that

$S+S+178\ge 2,000,\\ \\2S+178\ge 2,000.$

Solve this inequality:

1. Divide it by 2:

$S+89\ge 1,000.$

2. Now

$S\ge 1,000-89,\\ \\S\ge 911.$

The solution set is $[911,\infty).$

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2 years ago

Help I’ll mark brainliest

lakkis [162]

Answer:

12.04m = l

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 =c^2

where a and b are the legs and c is the hypotenuse

12^2 + 1 ^2 = l^2

144 + 1 = l^2

145 = l^2

Take the square root of each side

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12.04159458 = l

To the nearest hundredth

12.04m = l

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2 years ago

Read 2 more answers

The Rangers won five of the first six games. how many of the next 30 games must the rangers wins have twice as many wins as loss

barxatty [35]

Using proportions, it is found that they must win 19 of their next 30 games.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

We want a win-to-loss proportion of 2:1, which is equivalent to a win-to-total proportion of 2:3. We have that:

The team will have won 5 + x games.

The team will have played 36 games.

Hence:

$\frac{5 + x}{36} = \frac{2}{3}$

3(5 + x) = 72

15 + 3x = 72

3x = 57

x = 19.

The Rangers must win 19 of their next 30 games.

More can be learned about proportions at brainly.com/question/24372153

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1 year ago

If A = {2,4,6,8,}, write the set A by description method

belka [17]

Step-by-step explanation:

Set-builder notation is a notation for describing a set by indicating the properties that its members must satisfy.

C={2,4,6,8}

C={2×1,2×2,2×3,2×4}

thus set builder form is:

{x:x=2n,n∈N} and this set is also call even number set in description mathod

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2 years ago