[5 points] Each size of tile is named for its area. The smallest tile, called the “unit tile”, has sides that measure exactly 1 unit. Therefore, the area of the unit tile is 1 unit 1 unit=1 unit2. Can you use the unit tile to find the exact area of the other tiles? Explain.

Answers

Answer 1

Answer:

Yes you can, it’s 1010

Step-by-step explanation:

the reason is to 101 the number for its to become the one for the unit which is 1010

Answer 2

Yes, you can use the unit tile to find the exact area of the other tiles.

What are units and measurements?

The fundamental units are the units defined for the fundamental quantities. The derived units are the units of all other physical quantities that are derived from the fundamental units.

Given :

The unit tile has 1 unit length and 1 square unit of area.

Yes, you can use the unit tile to determine the length of the other rectangle and square.

You can place tiles along the length of the rectangle and count them so that the number of tiles equals the length of the rectangle, and then use the same method to find the side of the squares.

As shown in the given diagram below :

Therefore, you can use the unit tile to find the exact area of the other tiles.

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[5 Points] Each Size Of Tile Is Named For Its Area. The Smallest Tile, Called The Unit Tile, Has Sides

Related Questions

The equation of a circle is x^2 + (y + 11)^2 = 9. The center of the circle is 1. (-11, 0) 2. (0, -11) 3. (0, 11) 4. (11,0) and the radius is A. 3 B. 9 C. 81 What is the center of the circle and the radius?

Answers

Answer:

The center is ( 0,-11) and the radius is 3

Step-by-step explanation:

x^2 + (y + 11)^2 = 9.

The equation of a circle can be written in the form

(x-h)^2 + (y -k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-0)^2 + (y - - 11)^2 = 3^2

The center is ( 0,-11) and the radius is 3

Answer:

2: (0,-11) A: r=3

Step-by-step explanation:

the equation of a circle is given by the equation:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h,k) is the center and r is the radius.

We are given:

[tex]x^2+(y+11)^2=9[/tex]

This is the same as saying:

[tex](x+0)^2+(y-(-11))^2=3^2[/tex]

In other words, the center is at (0,-11).

And the radius is r=3.

Help please... thx if you do

Answers

Answer:

C.

Step-by-step explanation:

y≥-3

{y:y=-3,-2,-1....}

y<0

{y:y=...-3,-2,-1}

When we see the above inequalities they both start from zero and then go toward the negative numbers.

Hope this helps ;)❤❤❤

Let me know if there is an error in my answer!

The perimeter of a triangle is 44 inches. If
one side is 5 inches longer than the
smallest side and another side is 1 inch
less than twice the smallest side, how
many inches are there in the smallest side?

Answers

Answer:

The sides are  

6  inches,  8 inches and  10  inches

Explanation:

I'd suggest that the question should read 'The perimeter of a triangle is 24 inches. The longest side is 4 inches longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?'

Then the shortest side is  

6

and the longest side is  

10

I hope this helps  :)

Henry showed all the steps he took to solve the equation. 4 (negative one-half x + 7) + 5 x = 15 Step Simplified Expression 1 -Negative 2 x + 28 + 5 x = 15 2 3 x + 28 = 15 3 3 x = 15 4 x = 5

Answers

C) Step 3 is wrong because the subtraction property of equality was used incorrectly.

I just took the quiz on edge

Answer:

its c

Step-by-step explanation:

i did the test on edge

Solve the inequality. 6(b – 4) > 30 b > 34 b > 5 b 9

Answers

Answer:

b > 9

Step-by-step explanation:

6(b – 4) > 30

Divide each side by 6

6/6(b – 4) > 30/6

b-4 > 5

Add 4 to each side

b-4+4 > 5+4

b > 9

Answer:

[tex]\boxed{b > 9}[/tex]

Step-by-step explanation:

[tex]6(b-4) > 30[/tex]

Resolving Parenthesis

6b - 24 > 30

Adding 24 to both sides

6b > 30+24

6b > 54

Dividing both sides by 6

b > 9

Convert 50 degrees into radians (NEED ASAP)

Answers

Answer:

0.872665

Step-by-step explanation:

50 Degrees is a measurement of an angle. Radians is the ratio of the arc length to the radius of a circle. The formula for converting degrees to radians is as follows:

Radians = (π / 180) x Degrees

If we put 50 Degrees into our formula we get: (π / 180) x 50 = 0.872664625997165


50 Degrees is not the only number of degrees we have converted to radians. To convert another number of degrees, simply use same formula.


^_^ ^_^

Elton is a candle maker. Each 15 \text{ cm}15 cm15, start text, space, c, m, end text long candle he makes burns evenly for 666 hours. If Elton makes a 45 \text{ cm}45 cm45, start text, space, c, m, end text long candle, how long would it burn?

Answers

Answer:

18

Step-by-step explanation:

cm  15   -> 14

hours  6   ->?

cm 15  x3->45

hours 6 x3->18

the 45 cm long candle is 3 times as long ,so it would burn for 3 times as long A 45cm long candle would burn for 18 hours

What are the solutions to the quadratic equation x^2 – 16 = 0?

Answers

Answer:

x=4

Step-by-step explanation:

x²-16=0

x²=0+16

x²=16

x=√16

x=4

1. What number comes next in this sequence?
483, 759, 264, 837,?
A) 487
B) 592
C) 375
D) 936

Answers

Answer:

C 375 this your answer

Hope it will help

Answer:

B) 592

Step-by-step explanation:

483, 759, 264, 837,?

Erase commas.

483759264837

Separate into two-digit groups:

48, 37, 59, 26, 48, 37

There is a common pattern:

48 - 11 = 37 + 22 = 59 - 33 = 26 + 22 = 48 - 11 = 37

The next term:

37 + 22 = 59 (add 22)

59 - 33 = 26 (subtract 33)

5926

Which of the following is an equation that best describes compound interest?

Answers

Answer:

Compound interest is best defined as:

Earning interest on interest.

Compound interest is earning interest on interest.

What is compound interest?

Compound interest is an interest accumulated on the principal and interest together over a given time period. The interest accumulated on a principal over a period of time is also accounted under the principal. Further, the interest calculation for the next time period is on the accumulated principal value. Compound interest is the new method of calculation of interest used for all financial and business transactions across the world. The power of compounding can easily be understood, when we observe the compound interest values accumulated across successive time periods.

Compound Interest = Interest on Principal + Compounded Interest at Regular Intervals

The compound interest is calculated at regular intervals like annually(yearly), semi-annually, quarterly, monthly, etc; It is like, re-investing the interest income from an investment makes the money grow faster over time! It is exactly what the compound interest does to the money. Banks or any financial organization calculate the amount based on compound interest only.

as, we know that Compound interest is an interest accumulated on the principal and interest together over a given time period.

So, we can also write Earning interest on interest.

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Complete the table for the given rule.
1
Rule: y =-
4
y
13
4
2

Answers

Answer:

 x               y

1/4              0

13/4            3

 2             7/4

Step-by-step explanation:

To complete the table we just need to replace the value of x and get y as:

for x = 1/4

[tex]y=\frac{1}{4}-\frac{1}{4}=0\\[/tex]

for x=13/4

[tex]y=\frac{13}{4}-\frac{1}{4}=\frac{12}{4}=3[/tex]

for x=2

[tex]y=2-\frac{1}{4}=\frac{7}{4}[/tex]

So, the complete table is:

x            y

1/4         0

13/4       3

2           7/4

Plot and connect the points A(-4, -1), B(6, -1), C(6, 4), D(-4, 4), and find the area of the rectangle it forms.

Answers

Answer:

50 square units

Step-by-step explanation:

When graphed you have a width  of 5 and a length of 10 so multiply them together to get 50

Answer:

Step-by-step explanation:

I have this question too. I think it is 45. sorry if its incorrect

for a scavenger hunt, jim's mom distributed a bag of 725 jelly beans evenly into 29 plastic containers and hid then around the yard. if, after the hunt, jim has total of 275 jelly beans, then how many of the plastic containers did he find?

Answers

Answer:

11 bags

Step-by-step explanation:

725 jelly beans evenly into 29 plastic containers:

725/29=25  jelly beans in each plastic containers

275/25=11  Jim found eleven bags

Answer:

11 containers

Step-by-step explanation:

His mom evenly divided the jelly beans into containers. There are 725 jelly beans and 29 containers. To find how many jelly beans are in each container, divide 725 by 29.

725/29

25

There are 25 jelly beans in every container.

After the hunt, Jim had 275 jelly beans. There are 25 beans in each container. To find the number of containers, we can divide 275 by 25.

275/25

11

He found 11 containers.

Please help me with this question!!! I am struggling...

Answers

Answer:

It decreases from 45° to 40°

Step-by-step explanation:

The secant angle GBJ is half the difference of the measure of its intercepted arcs, that is

∠ B = [tex]\frac{1}{2}[/tex] (CDF - GHJ) = [tex]\frac{1}{2}[/tex](130 - 40)° = [tex]\frac{1}{2}[/tex] × 90° = 45°

If arc GHJ is now 50°, then

∠ B = [tex]\frac{1}{2}[/tex](130 - 50)° = [tex]\frac{1}{2}[/tex] × 80° = 40°

That is ∠ B decreases from 45° to 40°

What is (sqrt2+sqrt8+sqrt18+sqrt32) to the second power P.S. not 60

Answers

Answer:

to solve that it gonna be 10 square root of 2 and in decimal form it gonna be 14.14213562

Hope this helps

Step-by-step explanation:

Answer:  200

=====================================

Work Shown:

One approach is to simplify the stuff under the second power exponent. After that simplification, you would then square the result.

[tex]x = \sqrt{2}+\sqrt{8}+\sqrt{18}+\sqrt{32}\\\\x = \sqrt{2}+\sqrt{4*2}+\sqrt{9*2}+\sqrt{16*2}\\\\x = \sqrt{2}+\sqrt{4}*\sqrt{2}+\sqrt{9}*\sqrt{2}+\sqrt{16}*\sqrt{2}\\\\x = 1\sqrt{2}+2\sqrt{2}+3\sqrt{2}+4\sqrt{2}\\\\x = (1+2+3+4)\sqrt{2}\\\\x = 10\sqrt{2}\\\\x^2 = \left(10\sqrt{2}\right)^2\\\\x^2 = \left(10\sqrt{2}\right)*\left(10\sqrt{2}\right)\\\\x^2 = 10*10\sqrt{2}*\sqrt{2}\\\\x^2 = 100\sqrt{2*2}\\\\x^2 = 100\sqrt{4}\\\\x^2 = 100*2\\\\x^2 = 200\\\\[/tex]

So,

[tex]\left(\sqrt{2}+\sqrt{8}+\sqrt{18}+\sqrt{32}\right)^2 = 200[/tex]

-----------------------------------------------------

Checking the answer:

Using a calculator,

sqrt(2)+sqrt(8)+sqrt(18)+sqrt(32) = 14.142135623731

Then you square that to get (14.142135623731)^2 = 200.000000000001

Your calculator may not have that 1 at the end. It shouldn't be there and it's a result of rounding error. But it's close enough to 200.

A, B, and C are midpoints of ∆XYZ. What is the length of ? YZ

Answers

Answer:

[tex]YZ = 48[/tex]

Step-by-step explanation:

Given

[tex]AB = 24[/tex]

[tex]XZ = 60[/tex]

Required

Find YZ

From the attachment, AB is parallel and equal to YC;

This implies that

[tex]AB = YC = 24[/tex]

Given that C is the midpoint of YZ;

This implies that

[tex]YC = CZ = 24[/tex] and [tex]YZ = YC + CZ[/tex]

Substitute values for YC and CZ

[tex]YZ = 24 + 24[/tex]

[tex]YZ = 48[/tex]

Answer:

48

Step-by-step explanation:

The difference between twice a number, x, and a smaller number, y, is 3. The sum of twice the number and the smaller number is –3. Which equations represent this situation? y = 2 x minus 3 and y = negative 2 x minus 3 y = 2 x minus 3 and y = negative one-half x minus three-halves y = 2 x + 3 and y = negative 2 x minus 3 y = 2 x + 3 and y = negative one-half x minus three-halves

Answers

Answer:

The answer is

y = 2x -3 and

y = -2x - 3

its y = 2x -3

y = -2x - 3

Simplify the expression: 4(n-5)

Answers

The answer for this would be 4n-20 or n-5

Answer: 4n - 20

Step-by-step explanation: We can use the distributive property.

The distributive property tells us that if were given an expression

such as 4(n - 5), we can multiply the 4 by both the n and the -5.

So our answer is just 4n - 20.

A portion of the Quadratic Formula proof is shown. Fill in the missing statement. x equals b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over a x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x plus b over 2 times a equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a

Answers

Answer:  [tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Step-by-step explanation:

When you subtract b/2a from both sides, you end up with the Quadratic Formula.

Answer:

[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

[tex]\displaystyle x+\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}[/tex]

Subtract [tex]\frac{b}{2a}[/tex] from both sides.

[tex]\displaystyle x+\frac{b}{2a} -\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}-\frac{b}{2a}[/tex]

[tex]\displaystyle x=\frac{ \± \sqrt{b^2-4ac} -b}{2a}[/tex]

[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]

This is a quadratic formula.

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?

Answers

Answer:

The loudness of the dinner conversation is 40 dB

Step-by-step explanation:

Loudness in dB = 10[tex]Log_{10}[/tex] [tex](\frac{I}{I_{o} })[/tex]

where [tex]I_{0}[/tex] is the least intense sound a human can hear = [tex]10^{-12}[/tex] W/m^2

For a dinner conversation with sound intensity of [tex]I[/tex] = [tex]10^{-7}[/tex] W/m^2

Loudness = 10[tex]Log_{10}[/tex] [tex](\frac{10^{-7} }{10^{-12} })[/tex] = 10[tex]Log_{10}[/tex] [tex]( 10^{4} )[/tex] = 40 dB

Answer:

50 Db

Step-by-step explanation:

Heidi runs 1/3 of a mile in 1/4 of an hour and Louis takes 1/2 of an hour to run 23 of a mile.Who has the faster running rate?

Answers

Answer:

As both Louis and Heidi runs at the same speed, both are running at equal speed of 1.33 miles per hour.

Step-by-step explanation:

We will calculate speed of both the person in miles per hour and then compare the speeds.

Speed = distance/time

_____________________________________

For Heidi

Distance = 1/3 miles

time = 1/4 hour

speed = 1/3  ÷ 1/4 = 4/3 miles per hour = 1.33 miles per hour

_______________________________________

For Louis

Distance = 2/3 miles   (here it was given 23 miles but it appears to be 2/3 of a miles )

time = 1/2 hour

speed = 2/3  ÷ 1/2 = 4/3 miles per hour = 1.33 miles per hour

______________________________________________________

As both Louis and Heidi runs at the same speed, both are running at equal speed of 1.33 miles per hour.

A lawyer has found 60 investors for a limited partnership to purchase an inner-city apartment building, with each contributing either $6,000 or $12,000. If the partnership raised $486,000, then how many investors contributed $6,000 and how many contributed $12,000?

Answers

Answer:

39 investors contributed $6,000, and 21 investors contributed $12,000.

Step-by-step explanation:

Let's say that x investors contributed $6,000, and y investors contributed $12,000.

x + y = 60

6,000x + 12,000y = 486,000

x + 2y = 81

x + y = 60

y = 21

x + 21 = 60

x = 39

So, 39 investors contributed $6,000, and 21 investors contributed $12,000.

Hope this helps!

Complete the square to rewrite y = x2 + 8x+ 3 in vertex form, and then identify
the minimum y-value of the function.

Please answer ASAP!!!

Answers

Answer: D.  -13

====================================================

Work Shown:

y = x^2 + 8x + 3 is the same as y = 1x^2 + 8x + 3

It is in the form y = ax^2 + bx + c

a = 1

b = 8

c = 3

Plug the values of a and b into the formula below to get the x coordinate of the vertex (h,k)

h = -b/(2a)

h = -8/(2*1)

h = -8/2

h = -4

Plug this into the original equation to get its paired y value. This will get us the value of k

y = x^2 + 8x + 3

y = (-4)^2 + 8(-4) + 3

y = 16 - 32 + 3

y = -13

This is the smallest y output possible. Therefore it is the minimum. The minimum occurs at the vertex (h,k) = (-4, -13)

We know we are dealing with a minimum because a = 1 is positive forming a parabola that opens upward. If a < 0, then the parabola would open downward to yield a maximum.

numa prova de múltipla escolha com 30 questões, o aluno ganha 3 pontos por cada questão que acerta, mas perde 2 pontos por cada questão que erra. Marcelo resolveu todas as questões dessa prova e conseguiu 50 pontos. Quantas questões ele acertou?

Answers

Answer:

Marcelo acertou 22 questões.

Step-by-step explanation:

Vamos representar

Questões que acerta = a

Questões que erra = b

a + b = 30 .......... Equação 1

a = 30 - b

o aluno ganha 3 pontos por cada questão que realizar, mas perde 2 pontos por cada questão que ocorrerá.

Matematicamente:

3 × a - 2 × b = 50

3a - 2b = 50 pontos ............. Equação 2

Substitua 30 - b por a na Equação 2

3 (30 - b) - 2b = 50

90 - 3b - 2b = 50

90 - 5b = 50

Colete termos semelhantes

90 - 50 = 5b

5b = 40

b = 40/5

b = 8

Questões que erra = b

Marcelo, portanto, perdeu 8 questões.

Dizem-nos que ele respondeu todas as 30 questões. Portanto, se ele perdeu 8 questões, o número de questões acertadas é representado pela Equação 1

a + b = 30 .......... Equação 1

a + 8 = 30

a = 30 - 8

a = 22 questões.

Portanto, ele acertou 22 questões.

Verify that -8+ (-11)/(-12) = (-11)/(-12)+ (-8)

Answers

No The equation -8+(-11)/-12=(-11)/(-12)+(-8) do not equal each other. No matter how you look at it, the will never equal each other here’s some work if you need it :)


-8+(-11) = -19
Then the equation would look like this :)

-19 / -12 = (-11)/(-12)+(-8)

Now the other side :)

-12 +(-8)= -20

Leaving the equation looking as so

-19 / -12 = -11 / -20


They don’t look the same, you wouldn’t even need to solve that to know that they are not equivalent :) but if you did it would look like this :)


1.583(in repeating) = 0.55

Even so they are still not equivalent :)


Hope this helped you!! :)) have a nice day!

The ninth-grade class has 93 students. Each student takes a current events class, a foreign language class, or both a current events class and a foreign language class. There are 70 ninth-graders taking a current events class, and there are 54 ninth-graders taking a foreign language class. How many ninth-graders take only a current events class and not a foreign language class?

Answers

Answer: 31 students

Step-by-step explanation:

Because the class has 93 students, and there are a total of 124(70+54) classes taken, 124-93 students, or 31 students taking both classes.

Hope it helps <3

HELP ME PLSSSSSSSSSSS ALL MY POINTS

Answers

Answer:

B

Step-by-step explanation:

You can not take a square root of a negative number, because than it will become imaginary. So X has to be equal to or greater than 10.

solve for x ax+3x=bx+5

Answers

Answer:

x=5/a-b+3

Step-by-step explanation: Since we don't know a or b, we'll leave them as is. Shift all terms with x to the left and keep 5 on the right (ax+3x-bx)=5. x is a factor of that, so you'd change it to x(a-b+3)=5. Then, divide by (a-b+3). If a and b had set values, then just add all the x values and solve.

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Lets do this step by step.

Simplify 5 by ( b - x)

Apply the distributive property.

[tex]5b + 5 ( -x ) = 2b + ax[/tex]

Multiply -1 by 5.

[tex]5b - 5x = 2b + ax[/tex]

Subtract ax from both sides of the equation.

[tex]5b - 5x - ax = 2b[/tex]

Move all terms not containing x  to the right side of the equation.

Subtract 5b from both sides of the equation.

[tex]-5x - ax = -3b[/tex]

Subtract 5b from 3b.

[tex]-5x - ax = -3b[/tex]

Factor x out of -5x - ax .

[tex]x ( -5 - a ) = -3b[/tex]

Divide each term by = -3b.

Divide each term in x ( -5 - a) = -3b by - 5 -a.

[tex]\frac{x( -5 - a)}{-5 - a} = \frac{-3b}{-5 - a}[/tex]

Cancel the common factor of -5 - a.

[tex]x = \frac{-3b}{-5 - a}[/tex]

Simplify [tex]\frac{-3b}{-5 - a}[/tex]

[tex]x = \frac{3b}{5 + a}[/tex]

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Hope this helped you.

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Bacteria in a culture increase at a rate proportional to the number of bacteria present. An initial population of 300 triples in 10 hours. If this pattern continues, find the number of bacteria present after one day.

Answers

Answer:

After 24 hours, there will be 4191 bacteria present in the culture.

Step-by-step explanation:

Initial number of bacteria = 300

amount in 10 hrs = 3 x 300 = 900

time taken = 10 hours

Bacterial growth is exponential, ans so we use the equation

N = N'[tex]e^{kt}[/tex]

where N is the final amount

N' is the initial amount

k is the growth constant

t is the time

For this first case, we have

900 = 300 x [tex]e^{k*10}[/tex]

3 = [tex]e^{10k}[/tex]

take natural log of both sides, we'll have

ln 3 = ln [tex]e^{10k}[/tex]

1.0986 = 10k

k = 1.0986/10 = 0.10986

using the growth constant above, we calculate for a day which is 24 hours

N = N'[tex]e^{kt}[/tex]

N = 300 x [tex]e^{0.10986*24}[/tex]

N = 300 x [tex]e^{2.637}[/tex]

N = 300 x 13.97

N = 4191 bacteria

Solve
5/x+y - 2/x-y = -1 and 15/x+y + 7/x-y = 10
Using cross-multiplication method.

Answers

Answer:

x = 3 and y = 2

Step-by-step explanation:

Start by multiplying the first equation by "-3" so we can cancel the term with denominator (x+y) when we combine:

[tex]\frac{(-3)\,5}{x+y} -\frac{(-3)\,2}{x-y} =(-3)(-1)\\\frac{-15}{x+y} +\frac{6}{x-y} =3[/tex]

which now added term by term to the second equation gives:

[tex]\frac{-15}{x+y} +\frac{6}{x-y} =3\\\frac{15}{x+y} +\frac{7}{x-y} =10\\ \\\frac{13}{x-y} =13[/tex]

Now we solve for x-y by cross multiplying:

[tex]\frac{13}{13}=x-y\\ x-y=1\\x=y+1[/tex]

Now we use this substitution for x  back in the first equation to solve for the unknown y:

[tex]\frac{5}{(y+1)+y} -\frac{2}{(y+1)-y} =-1\\\frac{5}{2y+1} -2=-1\\\frac{5}{2y+1}=1\\5=2y+1\\4=2y\\y=2[/tex]

and now that we know that y = 2, we use the substitution equation to solve for x:

[tex]x=y+1\\x=2+1\\x=3[/tex]

Other Questions
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