A rectangle with sides 12 cm and 2 cm has the same diagonal as a square. What is the length of the side of the square

Answer:

Step-by-step explanation:

1- angle JZF

supplementary angle or straight angle =180 degree

HZJ+JZF=HZF straight angle

2- JZA

complementary angle or right angle =90 degree

HZJ+JZA=HZA ( right angle)

if angle HZJ=38 degrees

HZJ+FZJ=180

FZJ=180-38

HZG+HZJ=180

HZG=180-38=142 degrees ( which is vertical angle to FZJ and equal to it)

HZG=142 degrees

AZJ+HZJ=90 degrees

AZJ=90-38

AZJ=52 degrees

Answer:

x = 7/4

Step-by-step explanation:

4x + 3 = 10

4x = 10 - 3

4x = 7

x = 7 ÷ 4

x = 7/4

hope that helps...

Hello there! I am EnjoyingLife, and I hope you find my answer helpful :)

The first step is to subtract 3 from both sides (remember the Golden Rule of Algebra: Whatever we do to one side, we do to the other)

[tex]\tt{4x+3-3=10-3}[/tex]

[tex]\tt{4x=10-3}[/tex]

[tex]\tt{4x=7}[/tex]

Divide both sides by 4 in order to isolate x:

[tex]\tt{x=\frac{7}{4}[/tex]

Hope it helps!

Have an amazing day!

Good luck!

[tex]\tt{EnjoyingLife}[/tex]

Answer:

Solving steps:

Question: Sam had some money in his pocket, and he found another $6. 50 in his dresser drawer. He then had a total of $19. 75. Let p represent the amount of money Sam had in his pocket. Which equation can you use to find the amount of money Sam had in his pocket? How much money did Sam have in his pocket?.

Find: How much money did Sam have in his pocket?.

Solution: Let the equation be

p represent amount of money

p represent amount of moneyt represent total

p represent amount of moneyt represent totalf represent money found

insert the values

add 19.75 from 6.50

THEREFORE THE AMOUNT OF MONEY SAM HAVE IN HIS POCKET IS ABOUT $26.25

Answer:

p + 6.5 = 19.75

Step-by-step explanation:

i got it correct

Answer:

30

Step-by-step explanation:

use calculator LOL

360 divided by 12 is 30.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

Dividend=360

Divisor=12

Now

=360/12

=30

Therefore, by algebra answer will be 30.

More about the Algebra link is given below.

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Answer:

what are the answers that are given

Step-by-step explanation:

Answer:

I Think you have to subtracted those two number

Step-by-step explanation:.

Answer:

-18.87xy

Step-by-step explanation:

[tex]\left(-3.7x\right)\left(5.1y\right)[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]

[tex]=-3.7x\cdot \:5.1y[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:3.7\cdot \:5.1=18.87[/tex]

[tex]=-18.87xy[/tex]

~Learn with Lenvy~

Answer:

For the first one, it is

1. C: 3

2.B, 7

3. D, 2

4. A, 0.5

Step-by-step explanation:

Answer:

3 sketch oads and 2 pencil

Step-by-step explanation:

I hope this can help you

Answer:

[tex](x + 5)(a + 3b) \\ \\ = a(x + 5) + 3b(x + 5) \\ \\ = ax + 5a + 3bx + 15b[/tex]

# Jerry Don is here#

Answer:

False

Step-by-step explanation:

You calculate range by first putting all the numbers in order. Then subtract the lowest number from the highest.

What the question is thats how to calculate the median.

Have a wonderful day!

From the definition of the range, we understood that the given statement is false.

The given statement is "The range is calculated by adding the highest and lowest scores in a data set and then dividing by the number of scores in the dataset".

We need to state whether the given statement is true or false.

The range formula is mostly used in statistics to determine the range given in a particular data set. The formula helps in determining the centre of the set by finding the difference between the lowest and the highest number. In distribution, the large range means higher variability whereas the small range means low variability. The range formula includes the other aspects of statistics such as mean, median, and mode. Hence, the formula to calculate the range is:

R = Highest Value (H) - Lowest Value (L).

Therefore, from the definition of the range, we understood that the given statement is false.

To learn more about the range visit:

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Answer:

a factor of 4

Step-by-step explanation:

The equation is

[tex]500 (2) {2}^{t} [/tex]

Which can be simplified to

[tex]500 (4) {}^{t} [/tex]

Since 4 is the base, the constant factor is 4.

Answer:

The piecewise equation is given as :[tex]A(t)=\begin{cases} 25x& \text{ if } 0 \leq x \leq 3 \\ 75& \text{ if } 3<x<4 \\ 75+20(x-4) & \text{ if } 4 \leq x \leq 6\end{cases}[/tex]

Step-by-step explanation:

Let x be the time in hour and A(x) be the amount of accumulating rainfall at time x.

We are given that in the first three hours the rain fell at a constant rate of 25mm per  hour

Amount of rainfall in 1 hour = 25

Amount of rainfall in t hours = 25x

[tex]A(x) = 25x ; 0 \leq x \leq 3[/tex]

The rain then slows down and remains constant

So, Amount of rain for that hour = [tex]25 \times 3 = 75 mm[/tex]

75 mm ; 3

Now we are given that started again at a constant rate of 20 mm  per hour for the next two hours.

Amount of rain after 4 hours = [tex]75+20(x-4) ; 4 \leq x\leq 6[/tex]

The rain increases at a rate of 20t from 4 ≤ x ≤ 6.

Hence the piecewise equation is given as :[tex]A(t)=\begin{cases} 25x& \text{ if } 0 \leq x \leq 3 \\ 75& \text{ if } 3<x<4 \\ 75+20(x-4) & \text{ if } 4 \leq x \leq 6\end{cases}[/tex]

Answer:

28√2

Step-by-step explanation: i promise its the answer.

Answer:

28

Step-by-step explanation:

Its the top part  for the number

Answer:

72.22

Step-by-step explanation:

C = [tex]\pi \: d[/tex]

3.14×23=72.22

The circumference of a circle whose radius is 11.5 inches.

Thus, option (a) is correct.

Given:

Diameter = 23 inch

So, Radius of circle = diameter/2

                                =23/2

                                = 11.5 inch

Now, the formula for circumference of a circle is

= 2πr

Substituting the value of r= 11.5 into the formula as

= 2 x 3.14 x 11.5

= 72.22 inches

Thus, the circumference of circle is 72.22 inches.

Learn more about circumference of circle here:

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Answer:

12.75

Step-by-step explanation:

Answer:

12.75

Step-by-step explanation:

4H=51$

1H=?

u will find it when u criss-cross it

Answer:

- 8x > 24

Step-by-step explanation:

Given

- 6x - 10 > 14 + 2x ( subtract 2x from both sides )

- 8x - 10 > 14 ( add 14 to both sides )

- 8x > 24 ← required missing step

Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.

x < - 3 ← is the solution

Answer:

4.5 miles per hour

Step-by-step explanation:

you start with 18 = 4x

divide both sides by 4

and you get x = 4.5

Answer:

It will increase by 12 every week, 57 is just what she already had, or in slope-intercept form, 57 is b

Step-by-step explanation:

For the given exponential function, the change represents a growth  and the percentage rate is 0.3%.

The formula for the exponential function is:

[tex]y(t)=y(0)*(1+R)^t[/tex], where:

y(t)= final value

yo=initial value

R=rate

t= time

When 1+R  > 1, the equation represents growth, while 1+R < 1 the equation represents decay.

The question gives:  [tex]y=30*(1.003)^x[/tex].

When you compare [tex]y=30*(1.003)^x[/tex]with [tex]y(t)=y(0)*(1+R)^t[/tex], it is possible to see:

1. 1+R=1.003, so >1 . Therefore, the change represents growth.

2. 1+R=1.003 , therefore,

                           1.003=1+R

                          R=1.003-1

                          R=0.003

                          then,

                         %R=0.003*100=0.3%

Read more about the exponential function here:

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[tex]\sf\fbox\red{Answer:-}[/tex]

(2+3)²

=(5)²

=25

[tex]\small\fbox{\blue{\underline{mαrk \; mє \; вrαínlíєѕt \; plєαѕє ♥}}}[/tex]

Answer:

corresponding angles postulate

Step-by-step explanation:

just took the test ;)

Answer: Corresponding angles postulate

Answer:

Step-by-step explanation:

2 cm

scale factor of 3

then 6/3 = 2 cm

Answer:

C.  2 cm

Step-by-step explanation:

As the circumference is a measure of length (one dimension), we can simply divide the given circumference of circle N by the scale factor to find the circumference of circle M:

⇒ circumference of circle M = circumference of circle N ÷ scale factor

                                                = 6 cm ÷ 3

                                                = 2 cm

(If we were working with area, we would have to divide/multiply by the square of the scale factor, since we would be working in 2 dimensions)

Answer:

90

Step-by-step explanation:

Conversion from percent to decimal: x% = 0.01x

90% of 100 is equal to 0.9 * 100 = 90

Hope this helps

Answer:

90

Step-by-step explanation:

because it is 100 so percent is same

Answer:

1107.0213 cm

Step-by-step explanation:

Assuming this gutter is half a cylinder,

Volume of half a cylinder = 0.5(πr²l)²

where, Volume = 20l, π = 3.142, r = 0.5(11.5) and l = ?

But, the other units are in cm while the Volume is in liters, so let's convert the liters to cm³

It would be easier to convert the liters to m³ then to cm³ rather than converting directly. So,

1000 L = 1 m³

     1 L = ?

1 ÷ 1000 = 0.001 m³

      1 m³ = 1,000,000cm³

0.001 m³ = ?

0.001 x 1,000,000 = 1000 cm³

So, if 1 L = 1000 cm³

      20 L = ?

20 x 1000 = 20,000 cm³

Thus, 20,000 = 0.5(3.142 x 0.5(11.5) x l)

20,000 = 0.5(3.142 x 5.75 x l)

20,000 = 18.0665l

Make l the subject and divide both sides by 18.0665

length = 1107.0213 cm

Answer:

53

Step-by-step explanation:

Step-by-step explanation:

Total tickets I sell =12

For every 3 tickets I sell, my friend sells 1 more.

I sell 12/3 (=4)sets of 3 tickets.

So, my friend sells 12 +4 (=16)tickets.