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
FrozenT [24]
3 years ago
12

Triangle X Y Z is shown. Angle X Z Y is a right angle. The length of Z X is b, the length of Z Y is a, and the length of hypoten

use X Y is c. Given right triangle XYZ, which correctly describes the locations of the sides in relation to ∠Y? a is opposite, b is adjacent, c is the hypotenuse a is the hypotenuse, b is opposite, c is adjacent a is adjacent, b is the hypotenuse, c is opposite a is adjacent, b is opposite, c is the hypotenuse

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
8 0

Answer:

ze last answer is correct, hence D

Step-by-step explanation:

valina [46]3 years ago
3 0

Answer:

a is adjacent, b is opposite, c is the hypotenuse

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle XYZ we have

The side a and side b are the legs and the side c is the hypotenuse (the greater side)

The side a is the adjacent side to angle Y and is the opposite side to angle X

The side b is the opposite side to angle Y and is the adjacent side to angle X

The side c is the hypotenuse

The sum of the angles X and Y is equal to 90 degrees because are  complementary angles

therefore

a is adjacent, b is opposite, c is the hypotenuse

You might be interested in
Arnold has a picture frame with a width of 8 inches and a height of 6 inches. Which proportion could be used to calculate the di
Marianna [84]

Answer:

2

Step-by-step explanation:

5 inches width is 3 less then the original 8. 3 less than 5 is 2. i would say 3 but its not an answer choice.

4 0
3 years ago
Read 2 more answers
Who factored 12x^7 correctly?
tiny-mole [99]

Answer:

None

Step-by-step explanation:

None of them factored it correctly because this expression can not be factored with rational numbers. The polynomial is not factorable with rational numbers.

6 0
3 years ago
The following data represent the pH of rain for a random sample of 12 rain dates in Tucker County, West Virginia. A normal proba
Sphinxa [80]

Answer:

Step-by-step explanation:

n = 12

Mean = (4.58 + 5.72 + 4.77 + 4.76 + 5.19 + 5.05 + 4.80 + 4.77 + 4.75 + 5.02 + 4.74 + 4.56)/12 = 4.8925

Standard deviation = √(summation(x - mean)²/n

Summation(x - mean)² = (4.58 - 4.8925)^2 + (5.72 - 4.8925)^2 + (4.77 - 4.8925)^2 + (4.76 - 4.8925)^2 + (5.19 - 4.8925)^2 + (5.05 - 4.8925)^2 + (4.80 - 4.8925)^2 + (4.77 - 4.8925)^2 + (4.75 - 4.8925)^2 + (5.02 - 4.8925)^2 + (4.74 - 4.8925)^2 + (4.56 - 4.8925)^2 = 1.122225

Standard deviation = √(1.122225/12

s = 0.31

a) Point estimate = sample mean = 4.8925

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

Margin of error = z × s/√n

Where

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 12 - 1 = 11

b) Since confidence level = 95% = 0.95, α = 1 - CL = 1 – 0.95 = 0.05

α/2 = 0.05/2 = 0.025

the area to the right of z0.025 is 0.025 and the area to the left of z0.025 is 1 - 0.025 = 0.975

Looking at the t distribution table,

z = 2.201

Margin of error = 2.201 × 0.31/√12

= 0.197

95% confidence interval = 4.8925 ± 0.197

Upper limit = 4.8925 + 0.197 = 5.0895

Lower limit = 4.8925 - 0.197 = 4.6955

We are 95% confident that the population mean of the rain water ph lies between 4.6955 and 5.0895

c) For 99% confidence level, z = 3.106

Margin of error = 3.106 × 0.31/√12

= 0.278

99% confidence interval = 4.8925 ± 0.278

Upper limit = 4.8925 + 0.278 = 5.1705

Lower limit = 4.8925 - 0.278 = 4.6145

We are 99% confident that the population mean of the rain water ph lies between 4.6145 and 5.1705

d) The interval gets wider as the confidence level is increased. This is logical since the test score is higher for 99% and therefore, increases the range of values. Since we want to be more confident, the range of values must be extended.

3 0
3 years ago
What is 17/50 in a percent and decimal
lisabon 2012 [21]

In decimal form: 0.34

In percent form: 34%

3 0
3 years ago
Which step should be completed first in the following problem 4(27÷3²)
Yakvenalex [24]

Answer:

3²

Step-by-step explanation:

We have to use BPEMDAS Order of Operations:

B - Brackets

P - Parenthesis

E - Exponents

M - Multiply

D - Divide

A - Addition

S - Subtraction

We use this order left to right. Since we have parenthesis, we look at that first. Inside, we have division and exponents. Since exponents come first, we have to evaluate 3² first.

7 0
3 years ago
Read 2 more answers
Other questions:
  • A survey of adults who typically work full-time from home recorded their current education levels. The results were Degree 37 So
    7·1 answer
  • A ski club had 146 members. Each member paid $30 a month for training fees. How much did the club collect in fees for the year?
    8·1 answer
  • Write an equation in slope intercept form of each line
    7·1 answer
  • A girl is x years old and her brother is 5 years older than her. (1) Find the sum of their ages. (2) If their father is 25 years
    6·1 answer
  • Y = <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B2%7D%20" id="TexFormula1" title=" \frac{5}{2} " alt=" \frac{5}{2} " al
    5·1 answer
  • Is every trapezoid a rectangle
    6·2 answers
  • Sorry i need help please quick
    5·1 answer
  • Jared sold 194 Boy Scout chocolate bars. Matthew sold three times as many as Jared. Gary sold 297 fewer than Matthew. How many b
    11·2 answers
  • Function or not a function? Linear or nonlinear? y= 5x + 3–2x​
    13·1 answer
  • The one-to-one functions g and h are defined as follows.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!