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djverab [1.8K]
2 years ago
12

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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Sladkaya [172]

What z score in a normal distribution has 33% of all score above it?

Answer: A z score which has 33% of all scores above it, will have 67% of all scores  below it.

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8 0
3 years ago
2. Sammie has 3 feet of ribbon. She is making bows for her friends that each use of 1/3 of a foot
lilavasa [31]

Answer:

Sammy can make 9 bows.

Step-by-step explanation:

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3 0
2 years ago
A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full. What is the weight of the empty bottle?
sweet [91]

Answer:

Weight of empty bottle = 0.8 kg

Weight of water = 1.6 kg

Step-by-step explanation:

As given , A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full.

Let us assume

Weight of empty bottle = x

Weight of water = y

Now,

when the bottle is 1/4 full of water

then,

weight of water = \frac{1}{4}×y

As given , Bottle weight = 1.2 , when it is 1/4 full of water

⇒ Weight of water + weight of bottle = 1.2

⇒ \frac{1}{4}×y + x = 1.2

⇒ y + 4x = 4.8      .......(1)

Also given, A bottle weight = 2.4 , when it is full of water

⇒ Weight of water + weight of bottle = 2.4

⇒ y + x = 2.4        ......(2)

Subtract equation (2) from equation (1) , we get

y + 4x - ( y+ x) = 4.8 - 2.4

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∴ we get

Weight of empty bottle = x = 0.8 kg

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