A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance frompoint 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:

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.

Learn more about Pythagorean triplets here:

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Answer 2

Answer:

Answer:9 ft

Step-by-step explanation:

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Angel Graham takes out a $150,000 mortgage. This is a 30-year at $725 per month. What is the total amount of interest that Angel will pay on this mortgage?Total Interest = $_____

Answers

Answer:

$111, 000

Step-by-step explanation:

Morgage amount is given as $150, 000

Repayment plan

Every month, Angel pays $725

Therefore, every year, Angel repays $725*12=$8700

The plan goes for 30 years hence

Total amount paid after 30 years will be $8700*30=$261, 000

Interest =Total payment-morgage value

Interest paid=261000-150000=111000

Therefore, total interest is $111, 000

5×(10÷10×10)+(8×3-23)=

Answers

Answer:

Step-by-step explanation:

5 ×(10 :10 ×10) +(8 ×3 - 23) =

5 ×(1 ×10) +(24 - 23) =

5 ×10 +1 =

50 +1 =

Image attached please help!A) which answer choices are true

B) which inequality is shown on the graph?

Answers

C and D : 0 + 3 is less than 16, 13 + 3 is 16, and the others are greater
B : the line goes though the numbers less than 10, and the closed point shows it can be equal to 10.
Hope this helps!

. Emma is making bracelets for her friends. She noticed that 12 out of 20 of her beads are red. What decimal is equivalent to the fraction of Emma's beads that are red?

Answers

Answer:

0.6

Step-by-step explanation:

12/20 = 6/10 = 0.6

Determine whether [1 0 3 , −3 1 −7 , 5 −1 13] is a basis for set of real numbers R cubed 3. If the set is not a basis, determine whether the set is linearly independent and whether the set spans set of real numbers R cubed 3.

Answers

Answer:

The set is not a basis. It is not linearly independent and doesn't span the given vector space

Step-by-step explanation:

Let u = (1,0,3), v = (-3,1,-7) and w=(5,-1,13). We want to check if the set {u,v,w} is a basis for $\mathbb{R}^3$ . By definition, a basis is a linearly independent set that spans the vector space. So, if it is a basis, it automatically is linearly independent and spans the whole space. Since we have 3 vectors in

$A=\left[\begin{matrix}1 & -3 & 5 \n 0 & 1 & -1 \n 3 & -7 & 13 \end{matrix}\right]$

which is the matrix whose columns are u,v,w. To check that the set {u,v,w} is linearly independent,it is equivalent to check that the row-echelon form of A has 3 pivots.

The step by step calculation of the row-echelon form of A is ommited. However, the row-echelon form of A is

$A=\left[\begin{matrix}1 & 0 & 2 \n 0 & 1 & -1 \n 0 & 0 & 0 \end{matrix}\right]$

In this case, we have only 2 pivots on the first and second column. This means that the columns 1,2 of matrix A are linearly independent. Hence, the set {u,v,w} is not linearly independent, and thus, it can't be a basis for $\mathbb{R}^3$ . Since it is not a basis, it can't span the space.

What is the perimeter of a square with s = 8 centimeters?