A builder wants to increase the size of one of his square patios. The patio measures 16 feet on each side. The builder plans to increase each side of the patio to be 125% of its current measure.

How many square feet larger is the area of the new patio than the area of the current patio?

Answer:

Count by groups of 9.There are 4 groups

Answer: 150.77 and 29.23

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Explanation:

x = larger angle

y = smaller angle

x-y = difference of the angles = 121.54

x-y = 121.54 is one equation

x+y = 180 is the other equation since supplementary angles always add to 180 (they form a straight line).

We have this system we're working with

[tex]\begin{cases}x-y = 121.54\\x+y = 180\end{cases}[/tex]

Add the equations straight down.

We're left with this reduced equation

2x = 301.54

Divide both sides by 2 to isolate x

x = 301.54/2

x = 150.77

Use this to find the value of y

x-y = 121.54

150.77-y = 121.54

-y = 121.54-150.77

-y = -29.23

y = 29.23

Or we could say

x+y = 180

150.77+y = 180

y = 180-150.77

y = 29.23

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Summary:

x = 150.77 and y = 29.23 are the two angles.

I'll let you check the answers.

Answer:

150.77° and 29.23°

Step-by-step explanation:

Let:

The sum of the angles is 180*

The difference is 121.54°

The system of equations:

[tex]\left \{ {{x+y=180} \atop {x-y=121.54}} \right.[/tex]

Solve:

Now we know what x is, we can plug it into the first equation to solve for y.

-Chetan K

Answer:

15

Step-by-step explanation:

90/6=15

Answer:

The answer is 9.

Step-by-step explanation:

Answer:

Transform the given function f(x) as described.

f(x)= |x|

Reflect across the x-axis

Translate up 1 unit

A g(x) = |x-3|- 1

B g(x) = |x+3|+ 1

C g(x) = 2|x| - 1

D g(x) = -|x| +1

Answer:

Step-by-step explanation:

To find: The measure of each exterior angle of a regular hexagon. We know that the number of sides of a hexagon is, n = 6. By the sum of exterior angles formula, Each exterior angle of a regular polygon of n sides = 360° / n.

Answer:

  x ≈ 4.5

Step-by-step explanation:

Let y represent the hypotenuse of the smaller triangle. The Pythagorean theorem tells us the sum of the squares of the legs is equal to the square of the hypotenuse. This lets us write two equations:

  1² +2² = y²

  y² +x² = 5²

Using the first equation to substitute for y² in the second equation, we get ...

  1² +2² +x² = 5²

  1 + 4 + x² = 25 . . . . compute the squares

  x² = 25 -5 = 20 . . . subtract 5

  x = √20 ≈ 4.472 . . . . take the square root

  x ≈ 4.5

Answer:

the answer is 3 1/2 hours

Step-by-step explanation:

203/58=3.5

Answer:

24°

Step-by-step explanation:

because a right angle measures 90°. so 90° minus 64° is 24°.

Answer:

26°

Step-by-step explanation:

The sum of all degrees in a triangle is 180°.

You already have the value of two angles, 90° and 64°.

64+90=154

180-154= 26°

[tex]\\ \sf\longmapsto AR\cong AR(Common\: side)[/tex]

[tex]\\ \sf\longmapsto ∆ARP\cong ∆ARQ(SSS congruence)[/tex]

[tex]\\ \sf\longmapsto <PAR\cong <QAR(\because \triangle PAR\cong \triangle QAR)[/tex]

Answer:

132 cm^2

Step-by-step explanation:

First find the area of the rectangle on top:

4 * 7 = 28 cm^2

Remember: Don't forget units!

Next, find the average of the trapezoid's bases:

(7 + 19) / 2 = 26 / 2 = 13

Then, find the area of the trapezoid using (avg(bases) * height):

13 * 8 = 104 cm^2

Finally, add the two areas:

28 + 104 = 132 cm^2

Step-by-step explanation:

[tex]3.2 \times {10}^{4} \times 1.6 \times {10}^{7} = 5.1 \times {10}^{11} [/tex]

Answer:

1256.64

Step-by-step explanation:

To find the area of a circle, the formula is πr2.

R stands for radius, and since the radius of a circle is always half the diameter we can figure this problem out.

If the diameter is 40, the radius is 1/2 of that, so the radius is 20. Now knowing the radius is 20, plug that into our formula and then we'll get the answer.

A = πr2 = π · 20^2 ≈ 1256.63706

≈ 1256.64

Hope this helps, please mark brainliest if possible :)

Step-by-step explanation:

The function is decreasing when f(x) decreases as x increases.

We can observe one section that is increasing, it is when:

So excluding this section, the decreasing sections are:

or, when x is:

The decreasing intervals of the graphed function are (-∝, -3) and (3, ∝)

From the question, we have the following parameters that can be used in our computation:

The graphed function

From the graphed function, we can see that

Using the above as a guide, we have the following:

The decreasing intervals of the function are (-∝, -3) and (3, ∝)

Read more about functions at

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#SPJ3

Answer:

x = 12

Step-by-step explanation:

Apply Thales' theorem

[tex]\frac{ED}{CB} =\frac{AD}{AB}[/tex]

[tex]ED=x[/tex]

[tex]\frac{x}{6} =\frac{20}{10}[/tex]

[tex]x=\frac{(20)(6)}{10} =12[/tex]

Hope this helps

Answer:

[tex]Solution,\\First=(\frac{-2}{3} +\frac{3}{5} )*\frac{1}{2} \\=-\frac{1}{15} *\frac{1}{2} =-\frac{1}{30} \\Second=(-1/30+3/5)*1/2\\=17/30*1/2=17/60\\Third=(17/60+3/5)*1/2\\=53/60*1/2=53/120\\Fourth=(53/120+3/5)*1/2\\=25/24*1/2=25/48[/tex]

First number=-1/30

Second number=17/60

Third number=53/120

Fourth number=25/48

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

3/18 (divide top and bottom with 3) -> 1/6

Answer:

1:6

Step-by-step explanation:

divide 3 on both sides

Answer:

  0.012987...(6-digit repeat)

Step-by-step explanation:

You explain it the same way you explain any division of decimal numbers.

The usual procedure is to adjust both numbers so that the divisor is an integer. Here, that is accomplished by multiplying each number by 100. This makes the problem ...

  1.82/140.14 = 182/14014

Now, division proceeds in the usual way. The first non-zero quotient digit will appear in the hundredths place. The quotient is a repeating decimal with a 6-digit repeat. You recognize the repeat as soon as you see 182 as a remainder.

__

Additional comment

The ratio reduces to ...

  [tex]\dfrac{1.82}{140.14}=\dfrac{182}{14014}=\dfrac{1}{77}=0.\overline{012987}[/tex]

Answer:

original price = $40

Step-by-step explanation:

if 70% ---> $28 then

1% ---> $28/70 = $0.4

then we know original price should be 100%

original price = 100 * 0.4 = $40

OR

basic easy function:

(28/70) * 100

$40

Answer:

28 because 70

Step-by-step explanation:

28 +70 percent- =30

Answer:

-3/2

Step-by-step explanation:

[tex]2(\frac{-1}{4}) (3) = 6(\frac{-1}{4}) = \frac{-6}{4} = -\frac{3}{2}[/tex]

Simin's behavior is an example of buying for the wrong reason.

Simin's main motivation was the fact she did poorly on her exam and due to this, she decides to buy clothes to "feel better".

Simin's behavior shows impulsiveness when deciding how to use money or what to buy. Indeed, Simin's reason to buy the clothes is not the best because it is based on emotions rather than on logic. Based on this, Simin's actions are an example of buying for the wrong reason.

Note: This question is incomplete because the options are not provided. Here are the options:

A. Using credit wisely.

B. Trying to impress her friends.

C. Buying for the wrong reason.

D. Being forgetful.

Learn more about behavior in: https://brainly.com/question/9152289

Answer:

Answer: B

Step-by-step explanation:

The y intercept must be 0. The y intercept for a = - 2. This is not

a proportional relationship

The same comment can be made for C. The y intercept is 1. So C is not the answer.

Answer:

48

Step-by-step explanation: subtraction

Answer:

118°

Step-by-step explanation:

<rpq = <vpq = 2x (opp angles are equal)

<rps = 90-2x

7x+54+ 2x+2x+90+90-2x = 360

9x= 180-54=126

x=14

arc sv = 90+2x = 90+28=118°