In the diagram, ABCD is a part of a right angled triangle ODC. If /AB/= 6 cm,
/CD/= 15cm, BC/= 8 cm, ZBCD = 90° and AB//DC, calculate, correct to 1 decimal
place, the:
2 points
1. height of triangle ODC;
Your answer
2 points
2. perimeter of triangle ODC.​

Answers

Answer 1

Answer:

1) 13.3 cm

2) 48.3 cm

Step-by-step explanation:

1) Right angled triangle ODC and right angled triangle OAB are similar because AB//DC. The two triangles have the same proportion and are equiangular (having equal angles) but have different lengths.

Let OB = x, OC = OB + BC = x + 8

Therefore:

[tex]\frac{OC}{OB}=\frac{DC}{AB} \\\frac{x+8}{x}=\frac{15}{6}\\15x=6(x+8)\\15x=6x+48\\15x-6x=48\\9x=48\\x=5.3\ cm[/tex]

The height of triangle ODC = OC =  x + 8 = 5.3 + 8 = 13.3 cm

2) Using Pythagoras theorem:

OD² = OC² + DC²

OD² = 13.3² + 15²

OD² = 401.89

OD = √401.89 = 20 cm

2) perimeter of triangle ODC = OD + OC + DC = 20 + 13.3 + 15 =48.3 cm


Related Questions

I don’t know if this is correct , please help !!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

change the negative to not domain and the zero to in domain

Step-by-step explanation

Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent.

Answers

Answer:

About 51.5%

Step-by-step explanation:

The volume of the prism currently is (9*4)/2*11=18*11=198 cubic feet. If you added a foot to each dimension, the volume would be 10*5/2*12=25*12=300. (300-198)/198=102/198 a percent increase of about 51.5%. Hope this helps!

Answer:

About 51.5%

Step-by-step explanation:

Which graph shows a negative correlation?

Answers

Answer:

Option D

Step-by-step explanation:

because the data wasn't place on a table...

Find (fg)(x) using long division for f(x)=2x3−12x2+7x−27 g(x)=2x2+5 The quotient is The remainder is

Answers

Answer:

f(x)/g(x) = x - 6 + (2x+3)/(2x^2+5)

Quotient = x - 6

Remainder = (2x+3)/(2x^2+5)

Step-by-step explanation:

Getting x-6:

What number multiplies with 2x²+5 to get 2x³+...?

that number is x, so that's your first number. You multiply it with 2x²+5 and subtract it like how you would do divison by hand back in elementary school.

Now what number multiplies with 2x²+5 to get -12x²+ ...?

that number would be 6, so that's your second number. Multiply 2x²+5 with 6 and subtract it from -12x²+ ....

Now you have 2x+3. What number multiplies with 2x²+5 to get 2x+3? That number doesnt exist so 2x+3 is your remainder.

35 points!

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a rock concert with a sound intensity of 10–1?
A.) 2 Db
B.) 22 Db
C.) 60 Db
D.) 110 Db

Answers

Answer:

22

Step-by-step explanation:

Im sure because my sister got the same question on a test and she put 22 and got it right

The loudness of a rock concert with a sound intensity of 10⁻¹ is 110 dB.

Equation

An equation is an expression used to show the relationship between two or more variables and numbers.

Given that:

L = 10log(I / I₀)

Where L is the loudness, I is the sound intensity and I₀ = 10⁻¹².

For I = 10⁻¹:

L = 10log(10⁻¹ / 10⁻¹²) = 110 dB

The loudness of a rock concert with a sound intensity of 10⁻¹ is 110 dB.

Find out more on Equation at: https://brainly.com/question/2972832

A circle centered at the origin contains the point (0, –9). Does (8, StartRoot 17 EndRoot) also lie on the circle? Explain.No, the distance from the center to the point (8, StartRoot 17 EndRoot) is not the same as the radius. No, the radius of 10 units is different from the distance from the center to the point (8, StartRoot 17 EndRoot). Yes, the distance from the origin to the point (8, StartRoot 17 EndRoot) is 9 units. Yes, the distance from the point (0, –9) to the point (8, StartRoot 17 EndRoot) is 9 units.

Answers

Answer:

Step-by-step explanation:

No it does not cause the 8 To the 17 overpasses the coordinates 0,-9 so the perimeter of the imaginary circle it expands loosely over the designated area

Answer:

Answer C

Step-by-step explanation:

EDGE2021

GEOMETRY HELP WILL MARK BRAINLIEST

Answers

Answer: the answer is 77 degrees

Step-by-step explanation: a triangle's angles all add up to 180, so all you need to do is 180-(59+44)

Nine subtracted from the product of 3 and a number is less than 23

Answers

Answer:

3n-9<23

You can use any variable you want for n

Answer:

32/3

Step-by-step explanation:

Nine subtracted from the product of 3 and a number is less than 23

-9                                                           3n                          < 23

3n-9 < 23

3n < 23+9

3n < 32

n  < 32/3

Don't forget to say THANKS

Calculate the final cost of a television if the price is $1700.00 and the tax is 3%.

Answers

[tex]answer = 1751\\ selling \: price = 1700 \\ tax \: percent = 3 \: percent \\ tax \: amount = tax \: percent \: of \: \: sp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \: percent \: of \: 1700 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 51 \\ \\ \: final \: cost = 1700 + 51 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1751 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

$1751

Step-by-step explanation:

Selling price

[tex]1700[/tex]

Tax percent

[tex]3\%[/tex]

Tax amount

[tex]1700 \times \frac{3}{100} \\ = 51 [/tex]

Final cost

[tex]1700 + 51 \\ = 1751[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

what is the the importance and applications of percentages in the real world?

Answers

Answer:

because

Step-by-step explanation:

Percentages are an important part of our everyday lives. Percentage is a very handy way of writing fractions. Percentages can be compared more easily than fractions. ... The commission can be a percentage of the sales made.

Answer:

Sales tax

Depending on where you live, you might pay a sales tax on the things you buy. A sales tax is an extra charge added to the price of an item. The amount you pay in tax is almost always a percentage of that price.

Suppose you buy a $50 coffeemaker in an area where the sales tax is 8%. When you check out, 8% of $50 would be added to your total price. How much would you pay total?

Step-by-step explanation:

AB and BC are perpendicular lines Find the value of x Please answer quick!!

Answers

Answer:

32 degrees

Step-by-step explanation:

If AB and BC are perpendicular, that means the angle is 90 degrees. They already give you 24 and 24 which add up to 48 and then you subtract 90 by 48 to find the missing value

what is the area of this circle?​

Answers

Answer:

69.08

Step-by-step explanation:

Area equals pi r times 2

A equals 3.14 times 11 times 2

Step-by-step explanation:

area of circle = pi r^2

area = 22/7 × 11yd× 11yd

area = (2662yd^2)/7

area = 380.3 yd^2

136 degrees is the same as what radians

Answers

Answer:

34/45 pi

Step-by-step explanation:

To change from degrees to radians, multiply by pi/180

136 * pi/180

34/45 pi

PLEASE HELP ME WITH MY MATHS HOMEWORK BELOW
if you answer it correctly i will rate you 5 stars and brainiest

Answers

Answer:

a) 52%

b) 7

Step-by-step explanation:

Total no of grids = 25

Shaded grids = 13

[tex]a) \\Percent \; of \: Shaded\: grids = \frac{13}{25} \times 100 = 13\times 4 = 52\%\\\\b)\\80\% \: of \: 25 =0.80\times 25 = 20\\No \; of \: squares\: more\: than \: 13 = 20 - 13 = 7[/tex]

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

THANKS FOR GIVING BRAINLIEST.

So we need to first find out f(7)

That would be if you look at the line its -1 on the y.

g(-1) on the line is 1 on x

10*-1+9*1

= -10+9

answer is -1

Answer:

10* f(7) +9* g(-1) = -1

Step-by-step explanation:

f(7) = -1, g(-1) = 1

10* f(7) +9* g(-1) = 10*(-1) +9*1 = -10 + 9 = -1

I tried to answer this but not getting the right answer. Can someone help me plzzz

Answers

Answer: 17

Step-by-step explanation:

Use the Pythagorean theorem.

C^2 = A^2 + B^2

So, C is always the hypotenuse which is the longest side length and the side length diagonal of the right angle. Side "s" is the hypotenuse.

Square sides AB and BD

It looks like this:

C^2 = 8^2 + 15^2

8^2 = 64

15^2 = 225

225 + 64 = 289

the square root of 289 is 17

17 = s

Help………………………!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

It is the bottom one...................................................

Answer:d

Step-by-step explanation:(2√7 +3√6) (5√2 +4√3)

To open the bracket, multiply the first rational number (2√7 ) with the two numbers in the other bracket and 3√6 with the other numbers in the other brackets.

2√7(5√2+4√3) + 3√6(5√2+4√3)

Multiply number with number and root with root

10√14 +8√21+15√12+12√18

Then look for the roots which have a perfect number and can be broken down. There is 12 and 18 which have perfect numbers.

10√14 +8√21+(15√4 x√3) +(12√9 x √2)

10√14 +8√21 +15 x 2 x√3 +12 x 3 x √2

10√14+8√21+30√3 +36√2 ans

What is the slope of the line that passes through the points (4,7) and (5,3)?

Answers

in mx+b form i think it would be y= -4+23
where your slope is negative four

I will be showing you the graphing method.

To find the slope of the line using the graphing method,

we start by plotting our two points.

We will call (4,7) point A and (5,3) point B.

Now daw a line that contains these points.

Now remember that the slope or m is equal to the rise/run.

So to get from point A to point B, we rise -4 units

and run 1 unit so our slope is -4/1 or -4.

For which rational expressions is 5 an excluded value? Select two options.
X+5/X-5
x²-5/x² +5
X-3/x² - 25
2 x + 1/x2 + 25
X-5/
x² + 5x

Answers

Answer:

first one and the second one.

Step-by-step explanation:

nothing :)

Answer:

this is right

What’s the sum for 1/6+square root 6

Answers

Answer:

1/6 +√6 = 2.6162

Step-by-step explanation:

Answer:

B:2.6161564...

Step-by-step explanation:

edge2020

PLEASEEEEEEEEE HELPPPPPPPPPP 70-100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!! I NEED ONE MORE ANSWER BC I WANNA SEE WHICH ANSWER IS THE GREATEST THAT I SAW BEFORE THIS ONE SO JUST ANSWER IT TRY TO DO A SWIMMING RELATED ONE YA THX

Instructions:

Think of an activity that you enjoy or are interested in. Some examples are reading, swimming, or leveling up your gaming character. Use your activity to work through the following problems:

Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.

Write the inequality and show all work to solve the inequality.

Graph the solution to your inequality-ON A NUMBER LINE

Explain what your solution means in the context of the problem.

Answers

Answer and Explanation:

Gina wanted to swim at the pool. She is allowed to spend at most $30. The cost to swim in the pool is 3 dollars per hour plus a flat fee of $3. How many hours can Gina swim without going over her spending limit?

This problem can be represented by  [tex]3x+3\leq 30[/tex].

'x' would be the number of hours. "At most" means less than or equal to. So, the value of x would have to be less than or equal to 30.

[tex]3x+3\leq 30-3\\\\3x\leq 27\\\\3x/3\leq 27/3\\\\\boxed{x\leq9}[/tex]

So, Gina would have a maximum of 9 hours to swim in the pool.

Hope this helps.

PLZ PLZ HELP QUICK PLZ PLZA
circle with radius of
3

cm
3cmstart color #1fab54, 3, start text, c, m, end text, end color #1fab54 sits inside a
8

cm
×
7

cm
8cm×7cmstart color #11accd, 8, start text, c, m, end text, times, 7, start text, c, m, end text, end color #11accd rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.

Answers

Answer:

27.73 cm^2

Step-by-step explanation:

Answer:

Guys its 27.73- Please trust me i have done this one on khan multiple times

Step-by-step explanation:

Please please please like my answer or vote one of my answers brainliest.

What is the volume, in cubic in, of a cylinder with a height of 20in and a base radius of 6in, to the nearest tenths place?

Answers

Answer:

[tex]2262.20 in^3[/tex]

Step-by-step explanation:

Given data

height of cylinder h= 20 in

base radius r= 6 in

We know that the formula for the volume of a cylinder is expresses as

[tex]volume= \pi r^2h[/tex]

Substituting our data into the expression we have

[tex]volume= 3.142*6^2*20\\volume= 2262.24 in^2\\[/tex]

To the nearest tenth we have the volume to be

[tex]2262.20 in^3[/tex]

Answer: 2261.9


use volume of a cylinder formula

Substitute Variables into formula

Multiply

Then round to the nearest 10th

Clara goes mini golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Clara pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, x, that Clara golfs?

6.25x + 7.50 = 26.25

6.25x - 7.50 = 26.25

7.50x + 6.25 = 26.25

7.50x - 6.25 = 26.25

Answers

Answer:

6.25x + 7.50 = 26.25

Step-by-step explanation:

Given that

The admission fee is = $7.50

Each round costs = $6.25

Total money Clara paid = $26.25

The computation of equation can be used to determine the number of rounds, x, that Clara golfs is shown below:-

we assume the number of rounds = x

Here, We can denote this equation in the following form

[tex]6.25x+7.50=26.25[/tex]

Therefore with the help of above equation we can now find out the x value

[tex]6.25x=26.25-7.50[/tex]

[tex]=> 6.25x=18.75[/tex]

[tex]=> x = 3[/tex]

So, Clara played 3 rounds of golf.

8y⁷÷4y⁵ what is this answer ​

Answers

Answer:

Step-by-step explanation:

Terms with the exponents are like terms, we can subtract the exponents from each other when we divide.

(8y^7)/(4y^5) = 2y^(7-5) = 2y^2

Answer: [tex]2y^{2}[/tex]

Step-by-step explanation:

8/4=2

[tex]y^{7} / y^{5} =y^{7-5} =y^{2}[/tex]

so the answer is 2y^2

Find the sum of ( 1- 1/n) + (1 - 2/n) + ( 1 - 3/n)...upto n terms

Answers

Answer:

(n-1) / 2

Step-by-step explanation:

We have that the sum has the form of:

Sn = n / 2 [2 * a + (n-1) * d]

we compute the terms of a and d

a = 1 - 1 / n

a = (n - 1) / n

, that is, the first term, in the case d is the subtraction between the second and the first term, thus:

d = 1 - 2 / n - (1 - 1 / n)

d = 1 - 2 / n - 1 + 1 / n

d = - 1 / n

now if replacing these values:

Sn = n / 2 * [2 * (n - 1) / n + (n-1) * (- 1 / n)

Sn = n / 2 * [2 * (n-1) - (n-1)] / n

Sn = 1/2 * (n-1)

Therefore, the value of that sum is (n-1) / 2

What increase the probability of something happening?

Answers

Answer:

Repeating the activity or just waiting for it to happen.

Step-by-step explanation:

I did not really understand but I tried my best.

If there were 500 sheep in the farm and x of them died, but there were 25 left the next day. how many sheep died?

Answers

Answer:475

Step-by-step explanation:500-25=475

Answer:

475

Step-by-step explanation:

Number of dead sheep = Total sheep on the farm - sheep left

= 500 - 25

= 475

Hope this helps!

Help!
5 easy math questions (Order of Operations)

( 10+14 ) divided by ( 13-5 )

8 x 3 x (10+6)

(9 + 36 - 5) divided by 8

( 8-4 ) + 10 divided by 5

( 8+27 - 5) divided by 3

These are super easy but I cannot deal rn lol. Please do the solving steps as well. Merci!



Answers

Answer:

3

384

5

2.8

10

Step-by-step explanation:

--------------------------------------

10 + 14 = 24  |  13 - 5 = 8

24 divided by 8 = 3

--------------------------------------

8 x 3 = 24  |  10 + 6 = 16

24 x 16 = 384

--------------------------------------

9 + 36 = 45  |  45 - 5 = 40

40 divided by 8 = 5

--------------------------------------

8 - 4 = 4  |  4 + 10 = 14

14 divided by 5 = 2.8

--------------------------------------

8 + 27 = 35  |  35 - 5 = 30

30 divided by 3 = 10

--------------------------------------

Find the slope of the line that passes through (2, 16) and (10, 7).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

-9/8

Hope this helps

The right answer is - 9/8

please see the attached picture for full solution

Hope it helps..

Other Questions
Laurie saved for six months to have enough money to buy a new designer outfit to wear to a special party. She had to travel to a larger city to purchase this outfit, but it was worth it to her because it made her feel beautiful and confident. The difference between the benefits Laurie perceived from this purchase and the cost to her to acquire these benefits describes her _____. Add the polynomials.(4x + 11) + (12x + 2)a16x + 13b12x + 925x + 16d. 19x + 13 12312ad3 and which term are like terms? James Company began the month of October with inventory of $19,000. The following inventory transactions occurred during the month: A. The company purchased merchandise on account for $28,000 on October 12. Terms of the purchase were 3/10, n/30. James uses the net method to record purchases. The merchandise was shipped f.o.b. shipping point and freight charges of $540 were paid in cash. 2. On October 31, James paid for the merchandise purchased on October 12. 3. During October merchandise costing $18,600 was sold on account for $28,800. 4. It was determined that inventory on hand at the end of October cost $28,100.Required: 1. Assuming that the James Company uses a periodic inventory system, prepare journal entries for the above transactions including the adjusting entry at the end of October to record cost of goods sold. 2. Assuming that the James Company uses a perpetual inventory system, prepare journal entries for the above transactions. What the French Revolution successful or unsuccessful and why? Which statement about Egyptian, Byzantine, and Japanese decorative containers is true?They were made of carved ivory or marble with decorations carved into the surface and painted.They had few or no symbolic images.They had highly complex forms with simplified decoration.They could be used for storage within a tomb, for holding relics within a church, or for serving food during a tea ceremony. Please Help ASAP!What values are in the domain of the function f(x)= 4-2x, if the range is {0,4,8} The direction of a vector that points somewhere between due north and dueeast is measured inA. centimetersB. degreesC. hoursD. miles All of the following are musical elements of Duke Ellingtons late 1920s and early 1930s "breakthrough" except:______. A. He clarified the nature of big-band jazz. B. He elevated jazz as a dignified, intellectual music. C. He composed popular songs in individual and adventurous ways. D. He made stride piano a part of his piano and orchestral style. E. He focused solely on blues style. An employee at a factory is paid $9.25 per hour plus an $8.00 bonus for every 20 transformers assembled. Last week an employee worked 36 hours and assembled 380 transformers. How much money did the factory employee actually earn per hour last week rounded to the nearest cent? Find the sum of the finite geometric series.[(-6) + 30+ ( - 150) + 750) What is the vale of of??? Examine the map below. In which of the following locations did a revolutionof the poor turn into a revolution that won the country's independence whilekeeping old social structures in place?A. Region BB. Region DC. Region AD. Region C CHOOSE THE CORRECT ONEA..All plants have flowers and fruits.. B..Some plants have flowers and fruits..C..All plants have flowers When did the Jim Crow period begin? What did Homer Plessy try to do? Indiscriminate use of resources has led to numerous problems...justify URGERNT!!!PLS AT LEAST TAKE A LOOK!!! SHARE YO SMARTNESSS!! AND BLESS YOUR GRADES!Which sign explains the relationship between m1 and m2 in the diagram?A) not equal toB) >C) How would making slavery against the law help small farmers? Ares is making 14 jars of honey peanut butter. He wants to use 45 milliliter (ML) of honey in each jar. How much honey (in ML) will ares use in all? Simplified and inaccurate beliefs about groups of people are called ______.a.Ethnicityb.Diversityc.Stereotypesd.Distinctions