in the diagram below, ABCD is a rectangle.

In The Diagram Below, ABCD Is A Rectangle.

Answers

Answer 1

9514 1404 393

Answer:

  BC = 10 ft

Step-by-step explanation:

You may recognize the ratio of the given leg and hypotenuse of triangle BCD is 24 : 26 = 12 : 13. You may recall that the Pythagorean triple (5, 12, 13) is commonly seen in math problems. Here, that means side BC is 2×5 = 10 feet.

__

If you don't recall these helps, you can use the Pythagorean theorem to find BC.

  BC² + DC² = DB²

  BC² = DB² -DC² = (26 ft)² -(24 ft)² = 676 ft² -576 ft² = 100 ft²

  BC = √(100 ft²) = 10 ft


Related Questions

The circumference of a circle is 47 in. Find its diameter, in inches.

Answers

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Circumference of the circle = 47 inch.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The diameter of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:diameter\:of\:the\:circle\:is\:15\:inch.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]

[tex]\longrightarrow{\blue{}}[/tex] 47 in = 2 π [tex]r[/tex]

[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = [tex]\frac{47 \times 7}{2 \times 22}[/tex] in

[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = [tex]\frac{329}{44}[/tex] in

[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = 7.477 in

Now,

[tex]\sf\pink{Diameter\: of \:the \:circle\: =\: 2 \:r }[/tex]

= 2 x 7.477 in

= 14.954 in

= 15 in ( round to nearest whole number )

Therefore, the diameter of the circle is 15 inch.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

The diameter of the circle is approximately 14.97 inches.

We have,

To find the diameter of a circle given its circumference, we can use the formula:

Circumference = π * Diameter

Given the circumference of the circle is 47 inches, we can rearrange the formula to solve for the diameter:

Diameter = Circumference / π

Substituting the given circumference into the formula:

Diameter = 47 / π

Calculating the value:

Diameter ≈ 14.97 inches

Therefore,

The diameter of the circle is approximately 14.97 inches.

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77 out of 100 people Prefer sunny days what percentage of people prefer sunny days

Answers

Answer:

77% prefer sunny days because 77/100 is equivalent to 77%

Which value is equal to 1/2 ?Select all that apply.
Please help fast fast !! Will give brainliest

Answers

the first is the correct answer, sin 30

Answer:

The Answer to your problem is A i'm pretty sure mark me brainliest plss and a thanks heart !!

What is the surface area of the rectangular prism shown below?
A: 159
B: 294
C: 318
D: 378
(All squared)

Answers

D 378
Hope this helps

Need help with it math

Answers

Answer:

oh itsA

Step-by-step explanation:

i did 1 plus 24

1. supplementary

2. complementary

3. 45

4. 8

5. 67

6. 135

7. 98

8. 157

9. x= 10

10. x= 6

11. x= 30

12. x=14

10
1
board/home
Solving Linear Equations. Tutorial Level
Four times the sum “n plus 10" is 34. What is the
value of n?
Multiply (n + 10) by 4.
4(x + 10) = 34
ESSICA
2
n+
2
= 34
DONE
00
P750

Answers

Answer:

-1.5 or -1 1/2

Step-by-step explanation:

I can only guess what is actually asked for. a lot of things went wrong when copying this problem description in here.

the basic question I understand is to solve the equation of

4(n + 10) = 34

=>

n + 10 = 34/4 = 8.5 or 8 1/2

n = 8.5 - 10 = -1.5 or -1 1/2


In the diagram below of RST. L is a point on RS, and M is a point on RT, such that LM parallel to ST
If RL = 3 LS= 12 LM=7. and ST=x+ 2, what is the length of ST?

Answers

Answer:

ST is 28

Step-by-step explanation:

Using the similarity formla

RL/LS  = LM/ST

3/12 = 7/x+2

3(x+2)=84

x +2= 84/3

x+2 =  28

x= 28-2

x = 26

ST = x+2

ST = 26+2

ST = 28

Hence the length of ST is 28

what's the formula of finding an area of a room?​

Answers

Answer:

For a square or rectangular room you will need the length and width

Then you multiply I.e length x width gives Area

bye :-)

List 2 different ways to name angle 2 shown below.

Answers

The angle could be named these two different ways:

angle CAD or angle DAC.

when a number is decreased by 20% of itself, the result is 104. what is the number?​

Answers

Answer:

the number is 520

Step-by-step explanation:

hope this helps!

if two lines are parallel and one has a slope of 1/6, what is the slope of the other line?

Answers

The correct answer is 1/6

Parallel lines will have the same slope as one another

If 90 people were at a game and one-sixth bought programs for $1.50 each,
how much did they spend on programs all together?

Answers

Answer:

I'm pretty sure they spent $22.50

Step-by-step explanation:

do (1÷6)×(90) then multiply 15 and 1.50

The coordinates of the endpoints of BC are B(5,1) and (-3,-2). Under the
transformation R90, the image of BC is B'C". State the coordinates of points B
and C.

Answers

Given:

The coordinates of the endpoints of segment BC are B(5,1) and (-3,-2).

Under the transformation [tex]R_{90^\circ}[/tex] the image of [tex]\overline{BC}[/tex] is [tex]\overline{B'C'}[/tex].

To find:

The coordinates of points B' and C'.

Solution:

We know that transformation [tex]R_{90^\circ}[/tex] means 90 degrees counterclockwise rotation about the origin.

If a figure is rotated 90 degrees counterclockwise rotation about the origin, then

[tex](x,y)\to (-y,x)[/tex]

Using this rule, we get

[tex]B(5,1)\to B'(-1,5)[/tex]

Similarly,

[tex]C(-3,-2)\to C'(-(-2),-3)[/tex]

[tex]C(-3,-2)\to C'(2,-3)[/tex]

Therefore, the coordinates of required points are B'(-1,5) and C'(2,-3).

Please help me with this (work out 10% of 13kg)

Answers

Answer:

1.3kg

Step-by-step explanation:

Answer:

its 1.3kg

Step-by-step explanation:

to work out 10% of anything just divide it by 10.

e.g 13kg÷10=1.3kg

i need help with this?
i’m so confused

Answers

Answer:

See below

Step-by-step explanation:

In #4, the angles are vertical because the angles are congruent to each other. Therefore, you would set up the equation x+8=120 where x=112.

In #5, the angles are complementary because their sum is 90°. Therefore, you would set up the equation 43+x+3=90 where x=44.

In #6, the angles are supplementary because their sum is 180°. Therefore, you would set up the equation 76+2x+4=180 where x=50.

You have one each of $0.05, $0.10, $0.25, $1.00 and $2.00 coins in your wallet. How many different sums of money could you form by reaching into your wallet and pulling out some coins?

Answers

Answer:

The correct answer is - 26 sums for pulling few coins.

Step-by-step explanation:

Given:

coins in the wallet = 5 ($0.05, $0.10, $0.25, $1.00 and $2.00)

Different sums of money = ?

Formula: Different combination of items can be calculated with the help of a formula of combination that is -

nCr = n! / ((n – r)! r!)

where, n = total number of items

r = number of item in a set

solution:

In this question number of set is not given only few mention so the sets could be 2 coins, 3 coins, 4 coins and 5 coins.

a. for set of 2 coins

= 5! / ((5 – 2)! 2!)

= 20/2

= 10 combination of sums

b. for the set of 3 coins

= 5! / ((5 – 3)! 3!)

= 10

C. for 4

= 5! / ((5 – 4)! !)

= 5

d. for 5 coins

only 1 sum

thus, the total types of different sums = 10+10+5+1

= 26.

Evaluate:
2n=1(3n + 2) = [?]

Answers

Answer:

n = -2

Step-by-step explanation:

2n = 3n + 2

-n = 2

n = -2

What is the solution of the equation, n + 12 = 12?

n = ______​

Answers

N=0
n+12=12
So you would subtract 12 from the n side and subtract the 12 from the 12 on the other side which will equal 0

The cost of a piece of furniture is calculated as follows:

Wood: Rs.300, Paint: Rs.200 and wages Rs.200

If the cost of the wood and paint are increased by 12% and 7% respectively, find the new cost of the furniture.

Answers

Answer:

Examining whole-body center of mass (COM) motion is one of method being used to quantify dynamic balance and energy during gait. One common method for estimating the COM position is to apply an anthropometric model to a marker set and calculate the weighted sum from known segmental COM positions. Several anthropometric models are available to perform such a calculation. However, to date there has been no study of how the anthropometric model affects whole-body COM calculations during gait. This information is pertinent to researchers because the choice of anthropometric model may influence gait research findings and currently the trend is to consistently use a single model. In this study we analyzed a single stride of gait data from 103 young adult participants. We compared the whole-body COM motion calculated from 4 different anthropometric models (Plagenhoef et al., 1983; Winter, 1990; de Leva, 1996; Pavol et al., 2002). We found that anterior-posterior motion calculations are relatively unaffected by the anthropometric model. However, medial-lateral and vertical motions are significantly affected by the use of different anthropometric models. Our findings suggest that the researcher carefully choose an anthropometric model to fit their study populations when interested in medial-lateral or vertical motions of the COM. Our data can provide researchers a priori information on the model determination depending on the particular variable and how conservative they may want to be with COM comparisons between groups. Copyright © 2017 Elsevier Ltd. All rights reserved.

Step-by-step explanation:

PLEASE HELP. Last 3 times I asked people put spam, please do not this is urgent.
WILL MARK BRAINLIEST

Answers

Answer:

A) 2^12

Step-by-step explanation:

3x - y = 12

3(5) - 3 = 12

15 - 3 = 12

12 = 12

[tex]\frac{8^x}{2^y}[/tex]

[tex]\frac{8^5}{2^3}[/tex]

[tex]\frac{32768}{8}[/tex]

4096

2^12

You start driving for 3 miles, turn right, and drive north for another 13 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.

Answers

Answer:

13.34

Step-by-step explanation

Pythagorean Theorem: c= sqrt(a^2+b^2) or a^2=+b^2=sqrt(c)

3^2+13^2= sqrt(178) = 13.34166= 13.34

If x = 0 and y > 0, where is the point (x, y) located?

Answers

Answer:

upper half y axis

Step-by-step explanation:

If x = 0 we are on the y axis.  If y >0 we are on the upper half of the y axis

a driver travelled a distance of 864 km in 12 hours what is the speed of car

Answers

answer:

speed= 72 km - per • hour

Answer:

Speed of car = 72 km per hour

Explain how u got the answer!

Answers

Answer: 525

Step-by-step explanation:

1000 dogs in 2013 and 4500 dogs in 2016

15 percent in animal shelters

(4500-1000)x0.15 = 525

Let U be the set of all books, N the set of all novels, and H be the set of all hardcover books. Describe, in words, the following sets:

Answers

Given:

U be the set of all books, N the set of all novels, and H be the set of all hardcover books.

To find:

The description for the sets [tex]N\cap H[/tex] and [tex]H'[/tex] in words.

Solution:

We have,

U = The set of all books

N = The set of all novels

H = The set of all hardcover books.

We know that [tex]N\cap H[/tex] means common elements of set N and set H.

Therefore, [tex]N\cap H[/tex] is set of all books that are both novels and hardcover books.

We know that [tex]H'[/tex] is the set of elements of universal set except the elements of set H.

Therefore, [tex]H'[/tex] is the set of all books that are not hardcover books.

solve the system of equations y=x-7 y=x^2-9x+18

Answers

9514 1404 393

Answer:

  (x, y) = (5, -2)

Step-by-step explanation:

Equating expressions for y, we have ...

  x^2 -9x +18 = x -7

  x^2 -10x +25 = 0 . . . . . add 7-x to both sides

  (x -5)^2 = 0 . . . . . . . . factor

The value of x that makes the factor(s) zero is x=5. The corresponding value of y is ...

  y = x -7 = 5 -7 = -2

The solution is (x, y) = (5, -2).

How many ounces in 31/2 pounds

Answers

Answer:

248 ounces

Step-by-step explanation:

I hope this helps :D

Answer:

248 ounces is the correct answer hope you will like it and Mark me as BRAINLIEST!!!!

What is the scale factor from ∆ABC to ∆DEF?​

Answers

Answer:

D

Step-by-step explanation:

6*8 = 48

4*8 = 32

The scores and their final grade for a statistics student are given. What is the student’s weighted mean score?
Homework
Quiz
Quiz
Project
Final Exam
Score
86
81
96
99
89
Percent of final grade
20
15
15
25
25

Answers

Answer:

a) final exam: 90.2 B     b) percent of final grade: 20 F

Step-by-step explanation:

calculator: a)86+81+96+99+89=451/5=90.2

b) 20+15+15+25+25=100/5=20

The  weighted mean of a distribution is the sum of the product of the data elements of the distribution by the proportion of each element.

The weighted mean score of the students is 90.75

To calculate the weighted mean score, we simply multiply the score of each student by the percentage grade.

So, we have:

[tex]Mean = 86 \times 20\% + 81 \times 15\% + 96 \times 15\% + 99 \times 25\% + 89 \times 25\%[/tex]

This gives:

[tex]Mean = 17.20 + 12.15 + 14.40 + 24.75 + 22.25[/tex]

[tex]Mean = 90.75[/tex]

Hence, the weighted mean score of the students is 90.75

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Which domain would make the list of ordered pairs a function? {(-2, 5), (3, -1), (_, 4), (_, -9), (5, 6)}

Answers

Hope this help!!!

Have a nice day!!!

The required domain would make the list of the ordered pairs are-4 and 5.

Given that,
Which domain would make the list of ordered pairs a function, {(-2, 5), (3, -1), (_, 4), (_, -9), (5, 6)} is to be determined.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
The domain of the function follows the pattern of increasing the number by unit with the alternate sign change,
So the domain of function after 3 is given as -4 and 5.

Thus, the required domain would make the list of the ordered pairs are -4 and 5.

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