A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance from
point A to point Cis 16 ft.
12 it
8
15 ft
What is the distance from point A to point B in feet?
A. 8ft B.7ft c.9ft D.6ft

Answers

Answer 1

Answer:9 ft

Step-by-step explanation:

Answer 2

The requried measure of the AB is given as 7ft. Option B is correct.

What are Pythagorean triplets?  

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,
From the diagram, applying Pythagoras' theorem to the right rectangle,
BC² = 15² - 12²
BC² = 81
BC = 9

Now,
AC = 16
AB + BC = 16
AB + 9 = 16
AB = 7 ft

Thus, the requried measure of the AB is given as 7ft. Option B is correct.

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Related Questions

unit 8 right triangles and trigonometry homework 1

Answers

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

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

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Find the other endpoint of the line segment with the given
endpoint and midpoint: Midpoint = (8,-2) and Endpoint= (3,10).

Answers

Answer:The other endpoint is at  ( − 4 , 3 )

Explanation:

The line segment passing through  ( − 4 , 9 )  and  ( − 4 , 6 )

is a vertical line with the midpoint  3

units below the first point.

The other endpoint must be  3

further units below the midpoint i.e. at  ( − 4 , ( 6 − 3 )

Step-by-step explanation:

Which is the coefficient in the expression 7 + 14?

Answers

I believe the coefficient should be 7

If a/b and x/y represent rational expressions and b0 and y0, what is true of their product? Select three options.

The product is equivalent to ay/bx
The product is a rational expression.
The product is equivalent to a/y(x/b)
The product is the ratio of ax and by.
The product is equivalent to ax/b(y)

Answers

Answer:

It’s the 2nd,3rd,and 4th

Step-by-step explanation:

I just took the quiz

Answer:

2,3,4

Step-by-step explanation:

Which linear inequality is represented by the graph?

PLEASE HELP

Answers

Answer:

It would be c.

I hope that helps

Step-by-step explanation:

If you look at (0,0) you can see that if you go up two it will be right across second point.


Which equation has a constant of proportionality equal to 1/2?

Answers

Answer:

y=1/2x  or y=.5x

Step-by-step explanation:

What is mA?
Enter your answer in the box.

Answers

Answer:

X=3.75

Step-by-step explanation:

A=24.25

I guess

2. Write a quadratic function given the roots (4,0) and (2, 0) and the point 2 points
(3, 4). (2 pts) *

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]y = -4(x - 2)(x - 4) [/tex]

[tex]y = -4 {x}^{2} + 24x - 32 [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The expression for the quadratic function will be y = -4x² + 24x - 32.

What is a quadratic equation?

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that a quadratic function given the roots (4,0) and (2, 0). The quadratic equation will be formed as below:-

The two roots of the quadratic equation are 2 and 4 then the two factors will be ( x- 2 ) and ( x - 4).

y = -4(x-2)(x-4)

y = -4x² + 24x - 32.

Therefore, the expression for the quadratic function will be y = -4x² + 24x - 32.

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ratio of 5 to 2 total number of servers and cooks is 42 how many servers​

Answers

Answer:

30

Step-by-step explanation:

5 x 6 = 30

2 x 6 = 12

30+12 = 42

Your statement balance is $687.45. You have outstanding checks totaling $332.10 and an outstanding deposit for $124.21. What is your adjusted balance?

Answers

Answer:

261.48

Step-by-step explanation:

What is the percent?

32/80 = %/100​

Answers

Answer: 40% OUT OF 100

Free Brainlyest for who says bababoi first

Answers

Answer:

bababoi .. yay I did something

Answer:

bababoi

Step-by-step explanation:

bababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoioibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoi

Example of a balance point

Answers

a home's loss of heat is equal to heat created in the home or when both sides of a seesaw are at an equal level.

Help plssssssssssssssss

Answers

The product is less than 5, because it is equal to 4.375.

Answer:

less than 5

Step-by-step explanation:

im pretty sure

What is the prime factorization of 5? Enter your answer as a product of prime numbers, like 2 x 3, or as a single prime number, like 17​

Answers

Answer:

The prime factorization of 5 is 5 x 1

Step-by-step explanation:

5 is a prime number but the only factors that make up 5 are 5 and 1

Hope this helps!

These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!

Answers

9514 1404 393

Answer:

a = 6b = 22.5

Step-by-step explanation:

The ratio of smallest sides in the two triangles is ...

  smaller / larger = 4/10

To find A and B, we write proportions involving corresponding side lengths.

__

Side A in the smaller triangle is ...

  A/15 = 4/10

  A = (4/10)(15) = 6

__

The ratio of larger to smaller is the inverse of the above ratio, so ...

  B/9 = 10/4

  B = (10/4)(9) = 22.5

(5x + 2) 6x
Solve for x and y
X =
y =

Answers

Answer:

x = 8

y = 138

Step-by-step explanation:

1
Which equation has a constant of proportionality equal to1/2
Choose 1 answer:

Answers

Answer:

C

Step-by-step explanation:

3/6 = 1/2 when simplified.

Michael’s $1200 car insurance is paid bi-yearly. The second payment is three times the first payment. Find the amount of the first and second payment.

Answers

300 first year
300x 3 =900 second year

definitonss for math really easy

Answers

Answer:The solution to a system of linear equations is the point at which the lines representing the linear equations intersect. Two lines in the x y xy xy -plane can intersect once, never intersect, or completely overlap.

A system of linear equations is usually a set of two linear equations with two variables. x + y = 5 x+y=5 x+y=5x, plus, y, equals, 5 and 2 x − y = 1 2x-y=1 2x−y=12, x, minus, y, equals, 1 are both linear equations with two variables. When considered together, they form a system of linear equations.

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

a constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. For example, in the quadratic polynomial the 3 is a constant term.

Step-by-step explanation:

What is the blank answer?

Answers

Answer:

you..  need to provide a picture

Step-by-step explanation:

Divide the binomial by the monomial to find the quotient.

Answers

Answer:

9x²-36[tex]y^{5}[/tex]

Step-by-step explanation:

Andrew sold 45 tickets to the school play and Sara sold 60 tickets. Which of the following is equivalent to the ratio of the number of tickets Andrew sold to the number of tickets Sara sold?
a. 6:8
b. 8:10
c. 6:10
d. 10:12

Answers

Answer:

a

Step-by-step explanation:

definitely  not d

Answer:

A

Step-by-step explanation:

7) Newton sees 50 frogs in the morning, and 7 fewer frogs in the
afternoon. How many frogs did he see in total?

Answers

Answer:

93

Step-by-step explanation:

I need help solving this

Answers

Answer:

It's D.

Step-by-step explanation:

31-4 = 27 , 63 + 27 = 90 :) so the answer's D. 31

Answer:

D) 31

Step-by-step explanation:.

It is a right angle. All right angles equal 90°. So the two angles add up to 90

90= 63 + x - 4

Add 4 to each side

94 = 63 + x

Subtract 63 to each side

31 = x

For what value of b, would the equation 34(12x−9)+b4=5−3(2−3x) have infinitely many solutions?

Answers

Answer:

23

Step-by-step explanation:

Evaluate -3- (-4) - (-2) + 1.

Answers

Answer:

4

Step-by-step explanation:

-3+4+2+1=4

Can someone help me? Please i need this done

Answers

Your answer is y=-10x+8b I think. This is because on the x axis it hits -10 and on the y axis it’s 8

Explain how to find the slope of the line. And explain answer

Answers

Answer:

by using the slope incercept form: y=mx+b

this one is m=7/3 (m is the letter we use for the word slope btw) :)

Step-by-step explanation:

3.55. Постройте график линейной функции:
1) у = 2/3х – 4;
2) y = 2x + 6;
3) у = -1,5х – 3;
4) y = -1/2x + 1;
5) y = 5/3x - 2;
6) y = -4/3x + 2;

Answers

Answer:

4) y = -1/2x + 1;

Step-by-step explanation:

maybe

or maybe not

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