unit 8 right triangles and trigonometry homework 1

Unit 8 Right Triangles And Trigonometry Homework 1

Answers

Answer 1

Answer:

x = 31.8

Step-by-step explanation:

From the picture attached,

By applying Pythagoras theorem in right ΔADC,

AC² = AD² + CD²

(22)² = AD² + (16)²

AD² = 484 - 256

AD = √228

     = 2√57

Now we apply Pythagoras theorem in right ΔADB,

AB² = AD² + DB²

x² = 228 + (44 - 16)²

x² = 228 + 784

x² = 1012

x = √1012

  = 31.81

  ≈ 31.8

Unit 8 Right Triangles And Trigonometry Homework 1
Answer 2

The side x is an hypotenuse side to one of the right triangles formed by

altitude of the given triangle that has solid lines.

x is approximately 31.812

Reasons:

The figure shows a triangle with an altitude that forms two triangles inside

the main triangle.

By Pythagoras's theorem, we have;

For the right triangle on the left;

22² = h² + 16²

h² = 22² - 16² = 228

h² = 228

h = √228 = 2·√57

h = 2·√57

In the right triangle to the right, we have;

The length of the top base, b = 44 - 16 = 28

The square of the hypotenuse, x² = h² + b²

∴ x² = 228 + 28² = 1012

x = √(1012) = 2·√253

x = 2·√253 ≈ 31.812

Learn more here:

https://brainly.com/question/6241683


Related Questions

-15+6p=5(2p+1)
muti step​

Answers

-15+6p= 10p+5
-15-5 = 10p-6p
-20 = 4p
P= -20/4
P= -5

A company sold 33 bicycles for 315 dollars each how much revenue did it receive

Answers

Answer:

A

Step-by-step explanation:

Answer: $10395

Step-by-step explanation:

33 • 315 = 10395

convert 25 liter to millilliter

Answers

Answer: 25,000 milliliter

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Just \bf MULTIPLY the liter (25) from 1,000}[/tex]

[tex]\large\textsf{25}\times\large\textsf{1,000 = ANSWER}[/tex]

[tex]\large\textsf{= \underline{\bf 25,000 }}\large\checkmark[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 25,000 mL (Milliliters) }}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which table represents a non proportional linear relationship

Answers

Answer:

u need to add a picture cuz i dunno the problem

Step-by-step explanation:

Will make you brainliest!!! If correct!!

Answers

Answer:

Step-by-step explanation:

y = - [tex]\frac{1}{4}[/tex] x + 3 ( equation of line t )

y - (- 2) = - [tex]\frac{1}{4}[/tex] [ x - (- 2)] ⇒ y = - [tex]\frac{1}{4}[/tex] x - [tex]\frac{5}{2}[/tex] ( equation of line u )

The mean volume for a bottle of cologne is 4 ounces and the standard deviation is 0.22 ounces. A random sample of 121 bottles is taken. What is the probability of obtaining a sample mean within 0.04 ounces of the population mean?

a. 0.9545
b. 0.0363
c. 0.3085
d. 0.5000

Answers

Answer:

The standard error of the mean is 0.02

Step-by-step explanation:

Here, we want to calculate the standard error of the mean.

Mathematically;

standard error of mean = SD/ √n

where SD is the standard deviation and n is the number of samples

From the question, SD = 0.22 and n = 121

Inserting this into the equation

Standard error of the mean = 0.22/√121

= 0.22/11 = 0.02

The probability of obtaining a sample mean is "0.9545".

According to the question,

Mean,

[tex]\mu = 4[/tex]

Standard deviation,

[tex]\sigma = 0.22[/tex]

Random sample,

[tex]n = 121[/tex]

By Central limit theorem,

→ [tex]\bar {x} \sim (4, \frac{0.22}{\sqrt{121} } )[/tex]

     [tex]= 0.2[/tex]

Now,

→ [tex]P(|\bar{x} - \mu| \ \alpha \ 0.04) = P(-0.04 \ \alpha \ \bar{x} - \mu \ \alpha \ 0.04)[/tex]

                               [tex]= P(\frac{-0.04}{0.02} \ \alpha \ z \ \alpha \ \frac{0.04}{0.02} )[/tex]

                               [tex]= P(-2 \ \alpha \ z \ \alpha \ 2)[/tex]

                               [tex]= 0.9545[/tex]

Thus the above response i.e., "option a" is appropriate.

Learn more:

https://brainly.com/question/16943601

all our cube shaped all sides of a cube measures 6.5 feet each what is the volume of the storage unit

Answers

Answer:

The answer is 274.625

Step-by-step explanation: Volume is lxwxh so 6.5 x6.5 x6.5 is 274.625

Answer:

im the girl from the other question that you said you liked! :)

Step-by-step explanation:

Desmond's monthly Netflix subscription costs $14.
If he charges it to his credit card each month for 7
months without making any payments, what will
his debt be?
Explain how you would solve this problem.
What is the answer?

Answers

Answer:

Desmond has a debt of $98.

Step-by-step explanation:

We are given that Desmond has a monthly Netflix subscription that charges him $14. Since it is a monthly subscription, it is a recurring charge.

We are also given that he does not make payments for 7 months. This means that the subscription is recurring for seven months.

Therefore, if he is charged $14 monthly and is charged that for 7 months, we can say that he is charged $14 seven times.

Therefore, we can create an equation that solved how much his debt would be based on this information.

[tex]\displaystyle14(7) = c\\\\14\times7=98\\\\c = 98[/tex]

Therefore, Desmond has a debt of $98.

WHOEVER IS FIRST GETS BRAINLIEST

Answers

Answer:

I got itttttyyttyy ty again

Answer:

me?

Step-by-step explanation:

Given:3x-4=8 prove x=4

Answers

Hi!

Okay, so to prove that x = 4, all you have to do is insert 4 into the equation by replacing x with 4.

3x-4=8

3(4)-4=8

Now solve:

12-4=8

8=8

This is true, so x does equal 4.

chooseeeeeeeeeeeeeeeee oneeeeeeee plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz and explain ​

Answers

Answer:

Step-by-step explanation:

Jose is right because the two angles are coresponding angles that are congruent

You are given a penny on January 1, two pennies on January 2, four pennies on January 3, and eight pennies on January 4, and so on. 1.

Assuming the pattern continues, how many pennies do you get on the following dates? January 5 January 10 January 31

Answers

Answer:

january 5 :12

january 10:22

Step-by-step explanation:

Answer:

16 pennies512 pennies1073741824 pennies

Step-by-step explanation:

We can see a pattern:

Days >>   Pennies1        >>   1= 2^02        >>  2= 2^13       >>   4 = 2^24       >>   8 = 2^3...n       >>   2^(n-1)

So

January 5 fall on n = 5, therefore 2^4 = 16 penniesJanuary 10 falls on n = 10, therefore 2^9 = 512 penniesJanuary 31 falls on n = 31, therefore 2^30 = 1073741824 pennies

In the diagram below of triangle TUV, W is a midpoint of TU and X is a midpoint
of UV. IfWX = 23 – 2x, and TV = 64 – 10x, what is the measure of TV?
А.
W
T
V
Answer:
Submit Answer

Answers

Answer:

[tex] TV = 34 [/tex]

Step-by-step explanation:

WX = 23 – 2x,

TV = 64 – 10x,

First, create an equation you will use to find the value of x.

Thus:

[tex] WX = \frac{1}{2}(TV) [/tex] (midsegment theorem of a ∆)

[tex] 23 - 2x = \frac{1}{2}(64 - 10x) [/tex] (substitution)

[tex] 23 - 2x = \frac{1}{2}(64 - 10x) [/tex]

Multiply both sides by 2

[tex] (23 - 2x)*2 = \frac{1}{2}(64 - 10x)*2 [/tex]

[tex] 46 - 4x = 64 - 10x [/tex]

Collect like terms

[tex] 46 - 64= 4x - 10x [/tex]

[tex] -18= -6x [/tex]

Divide both sides by -6

[tex] 3 = x [/tex]

[tex] x = 3 [/tex]

Find TV:

[tex] TV = 64 - 10x [/tex]

Plug in the value of x

[tex] TV = 64 - 10(3) = 64 - 30 [/tex]

[tex] TV = 34 [/tex]

Answer:

the answer is 18

Step-by-step explanation: I unfortanutley got it wrong by listen to the dude that said it 34 but it's 18

Tara was 50 feet below the surface of the ocean. She then swam up 20
feet. Which integer represents her starting depth?

Answers

Answer:

The starting depth and your integer is -50 since she started below the surface.

Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal

Answers

Answer:

here

Step-by-step explanation:

Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180°. ... Triangle PQR has vertex P on line n and vertices Q and R on line m. Angle QPR is 80 degrees. Segment PQ makes 40 degrees angle with line n and segment PR makes 60 degrees angle with line n.

Answer:

Angle PQR measures 40 degrees

Step-by-step explanation:

No explanation took the test got it right.

Little late but, oh well, better late than never.

help asap plsplspls!

Answers

you just need to divide the top number by the bottom number in a calculator. so -0.4

2 1/8 and 17/8 are reciprocal numbers. True False

Answers

Answer:

False

Step-by-step explanation:

If make 2 1/8 into an improper fraction, it will be 17/8. a reciprocal is a flip of a number, so it is false.

NEED HELP ASAP WILL MARK BRAINLIEST

Answers

Answer:

Its the second one....

Step-by-step explanation:

Answer:

11x+12

Step-by-step explanation:

3x + 2x+2 + x+10 + 5x= 11x+12

The math club is having a car wash to raise funds to attend a state competition. They need to raise a minimum of $325.00. The cost of supplies for the car wash is $25.00. If they expect 40 cars on the day of the car wash, what is the amount they will have to charge each car to meet the minimum goal?

Answers

Answer:

8.75

Step-by-step explanation:

the formula to use would be:

$325 = 40x - 25

add 25 to both sides of the equation to get:

$350 = 40x

divide both sides by 40 to get:

x = 350/40 = $8.75

if they charge $8.75 per car, they will raise 40 * that for a total of $350.

they would then subtract the $25 for the cost of the supplies and they would be left with $325.

that's their minimum goal.

Answer:

8.75

Step-by-step explanation:

How are rates ratios and proportions used in careers in the medical field​

Answers

Answer:

Ratios and Proportions

Nurses do not prescribe medicine, but they administer medication to their patients. When doing so, they use ratios and proportions to help them. ... The ratios and proportions also allow the nurse to know how long the medication will stay in the body of the patient before needing another dosage.

Step-by-step explanation:

Answer:

they are used for comparing data

Step-by-step explanation:

even im the medical feild, mathematics is an impeccable way to explain phenomenons... by using mathematical formulas ratios and fraction, data can be communicated easier and help it to be easier to understand

Please help will put brainliest

Answers

Answer:

7x - 8y = -23

Slope = 1.750/2.000 = 0.875

x - intercept = -23/7 = 3.28571

y - intercept = 23/8 = 2.87500

7x - 7y = -14

Slope = 1

x - intercept = -2/1 = -2.00000

y - intercept = 2/1 = 2.00000

The sum of the digits of a certain two-digit number is 13. Reversing its digits decreases the number by 45. Find the number..

Answers

Answer:

......................

Help with this problem (20 points)

Answers

Answer:

what problem? i dont see it

No problem here! Are you sure?

PLEASE HELP ME ITS URGENT
Just the first one

Answers

Answer:

m=-1/3

Step-by-step explanation:

can you solve 5x = -25





Answers

Answer:

x=-5

Step-by-step explanation:

Divide by 5 on both sides and you get x=-5

Hope this helps mark brainliest if correct

Simplify (10x^2− 8x − 1) + (4x^2− 8x − 5).

Answers

Answer: 14[tex]x^{2}[/tex] − 16x − 6

solve this
6x+7=8x−15

Answers

Answer:

Heres my answer x=11

Hope it will help you

Answer:

13x=-7x

6x+7=8x-15 is false

Step-by-step explanation:

Solve the equation. Type just the numeral answer. Do NOT round your solution.
n
= -1.2
-1.5
n=

Answers

Answer:

-2.7

thats the answer but i cant submit without some words lol

Answer:

n= 1.8

Step-by-step explanation:

Solve the following expression:

n/-15 = -1.2

-Multiply -1.5  on both sides:

(-1.5) n/-1.5 = -1.2(-1.5)

n=1.8

Therefore, the final answer is n = 1.8.

PLEASE ANSWER ASAP!!!



A right triangle always has obtuse exterior angles at two verticies, True or False?

Answers

Answer:

false

Step-by-step explanation:

Select the correct answer.
The number of days, d, it will take Manny to read a book varles inversely as the number of pages, p, he reads per day. If kis the constant of
variation, which equation represents this situation?
OA. d+p=k
OB. dp = k
OC. d= pk
OD. d=p+k

Answers

I Believe B , If It’s Wrong I’m Sorry

The equation represents this situation will be dp = k. Thus, option B is correct.

What is directly proportional?

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

The inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

The number of days, d, it will take Manny to read a book varies inversely as the number of pages, p, he reads per day.

If k is the constant of variation.

The equation represents this situation will be

dp = k

Thus, option B is correct.

Learn more about proportional relationship variable here:

https://brainly.com/question/13082482

#SPJ2

Other Questions
Why are large empires hard to maintain Help me answer the question please Help i give Brainest A metro car in New Orleans travels 4 miles in 3 minutes. If the relationship between distance, in miles, and time, in minutes, of the metro car is proportional which equation represents the relationship between distance, d, and time, t? i I'd:4846539230passcode Q9opl A company sold 33 bicycles for 315 dollars each how much revenue did it receive all our cube shaped all sides of a cube measures 6.5 feet each what is the volume of the storage unit An agricultural extension blank helps farmers and producers stay informed about current practices and technologies. Solve the equation. Type just the numeral answer. Do NOT round your solution.n= -1.2-1.5n= Jackson bought a new computer for $800. He put $135 down and got a student discount of $55 his mom gave him half of the balance for his birthday. How much does Jackson still owe for the computer? Deleting or inserting a nitrogen base in DNA causes what typeof mutation? can someone graph y=x+4 i hate khan academy The math club is having a car wash to raise funds to attend a state competition. They need to raise a minimum of $325.00. The cost of supplies for the car wash is $25.00. If they expect 40 cars on the day of the car wash, what is the amount they will have to charge each car to meet the minimum goal? What is mZCAD?O 80O 20O 80O 100O 110 asheed and Sofia are riding a merry-go-round that is spinning steadily (uniform circular motion). Sofia is twice as far from the axis as is Rasheed. Sophia's acceleration is _________ that of Rasheed. * The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45. NK is an altitude to the longer base. If MD = 9 and NF = 5, find: - NK - MK - MF - [tex]A_{AMNFD}[/tex] Is x greater than less than or equal to 79 degrees? I NEED HELP WITH THIS PLZ HELP ME WITH MATH! I"M GIVING 20 points for someone who answers it. PLZ HELP ME WITH MATH! What kind of rights do you think theEnglish will be fighting for in the NewWorld ? PLZ HELP ME QUICKLY!! WILL MARK BRAINLIEST!Is the idea of separate but equal facilities consistent with the Fourteenth Amendment? Please help will put brainliest