1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Anura found a can of paint that was full. She was able to paint 3 fence posts with the paint. What fraction of the can of paint
Aleksandr-060686 [28]
She used 1/3 of of the paint can on a single fence post
5 0
3 years ago
Read 2 more answers
Someone help please!
saveliy_v [14]

Answer:

BC ≈ 14.7 m

Step-by-step explanation:

Using the Sine rule in Δ ABC

\frac{AB}{sinC} = \frac{BC}{sinA}

To find ∠ A subtract the 2 given angles from 180°

∠ A = 180° - (90 + 28)° = 180° - 118° = 62°

Then

\frac{7.8}{sin28} = \frac{BC}{sin62} ( cross- multiply )

BC × sin28° = 7.8 × sin62° ( divide both sides by sin28° )

BC = \frac{7.8sin62}{sin28} ≈ 14.7 m ( to 3 significant figures )

5 0
3 years ago
What is the length of BC , rounded to the nearest tenth?
Arte-miy333 [17]

Step 1

In the right triangle ADB

<u>Find the length of the segment AB</u>

Applying the Pythagorean Theorem

AB^{2} =AD^{2}+BD^{2}

we have

AD=5\ units\\BD=12\ units

substitute the values

AB^{2}=5^{2}+12^{2}

AB^{2}=169

AB=13\ units

Step 2

In the right triangle ADB

<u>Find the cosine of the angle BAD</u>

we know that

cos(BAD)=\frac{adjacent\ side }{hypotenuse}=\frac{AD}{AB}=\frac{5}{13}

Step 3

In the right triangle ABC

<u>Find the length of the segment AC</u>

we know that

cos(BAC)=cos (BAD)=\frac{5}{13}

cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}

\frac{5}{13}=\frac{AB}{AC}

\frac{5}{13}=\frac{13}{AC}

solve for AC

AC=(13*13)/5=33.8\ units

Step 4

<u>Find the length of the segment DC</u>

we know that

DC=AC-AD

we have

AC=33.8\ units

AD=5\ units

substitute the values

DC=33.8\ units-5\ units

DC=28.8\ units

Step 5

<u>Find the length of the segment BC</u>

In the right triangle BDC

Applying the Pythagorean Theorem

BC^{2} =BD^{2}+DC^{2}

we have

BD=12\ units\\DC=28.8\ units

substitute the values

BC^{2}=12^{2}+28.8^{2}

BC^{2}=973.44

BC=31.2\ units

therefore

<u>the answer is</u>

BC=31.2\ units

8 0
3 years ago
Read 2 more answers
Whats equevalent to 3/8
Maslowich

Answer:

Step-by-step explanation:

8/3

5 0
2 years ago
A manufacturer knows that their items have a normally distributed length, with a mean of 15.4 inches, and standard deviation of
Masteriza [31]

Answer:

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 15.4 inches, and standard deviation of 3.5 inches.

This means that \mu = 15.4, \sigma = 3.5

16 items are chosen at random

This means that n = 16, s = \frac{3.5}{\sqrt{16}} = 0.875

What is the probability that their mean length is less than 16.8 inches?

This is the p-value of Z when X = 16.8. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{16.8 - 15.4}{0.875}

Z = 1.6

Z = 1.6 has a p-value of 0.9452.

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

5 0
2 years ago
Other questions:
  • Please answer the question in the photo
    12·1 answer
  • Point C is the center of the circle. The measure of angle ACB is 12x – 7. Arc ADB measures 10x – 7. Find the value of x.
    8·1 answer
  • Gracie baked 4 apple pies. She cuts the pies into halves and will give them to her neighbors. How many neighbors will get 1/2 of
    15·2 answers
  • In a random sample of 400 residents of Boston, 320 residents indicated that they voted for Obama in the last presidential electi
    13·1 answer
  • Describe how you can use compatible numbers to estimate 17 x 27
    10·1 answer
  • Line m has a slope of 0. Line n is perpendicular to line m. What is the slope of line n?
    6·1 answer
  • According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $
    13·1 answer
  • A person runs 1 4/5 miles in 1/5 of an hour determine how many miles they are running per hour
    9·2 answers
  • Jerry works for 7 hours at $10.50 per hour. How much does she earn
    13·2 answers
  • Explain how to use Pascal's Triangle to expand the binomial (3x-4y)^11
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!