A room has a length of 12.62 ft and a width of 10.2 ft. Find the perimeter of the room with the correct number of significant digits.

Answers

Answer 1

Answer:

45.6 ft

Step-by-step explanation:

The room is a rectangle. The perimeter of a rectangle is

perimeter = 2L + 2W

perimeter = 2(12.62 ft) + 2(10.2 ft)

perimeter = 25.24 ft + 20.4 ft

perimeter = 45.64 ft

Since 10.2 ft has only 3 significant digits, the answer must also have only 3 significant digits.

Answer: perimeter = 45.6 ft


Related Questions

Which value for x makes the sentence true?

8x + 4 = 20

A. x = 12
B. x = 4
C. x = 8
D. x = 2

Answers

8x+4= 20

move +4 to the other side

sign changes from +4 to -4

8x+4-4= 20-4

8x= 20-4

8x= 16

divide both sides by 8 to get x by itself

8x/8= 16/8

Cross out 8 and 8, divide by 8 and then becomes 1*1*x= x

x= 16/8

Answer: D. x = 2

In order to get the answer to this question you will have to solve the equation before you can get the answer.

[tex]8x+4=20[/tex]

[tex]-4-4[/tex]

[tex]20-4=16[/tex]

[tex]8x=16[/tex]

[tex]\div8\div8[/tex]

[tex]16\div8=2[/tex]

[tex]x=2[/tex]

Therefore your answer is option D "x = 2."

Hope this helps.

13/15 + 1/8 =

Please help

Answers

reduce the fraction using 3
13/15+1/8

13/15=1/5

1/5+1/8

8+5/40

fraction response: 13/40
answer in decimal numbers: 0.325




Answer:   = 119/120

Step-by-step explanation:

=

104

120

+

15

120

=

104+15

120

=

119

120

(Decimal: 0.991667)

Change decimal into fractions

Answers

Answer: I believe is 65/99

Step-by-step explanation: my teacher once told me when it has that infinite thing you place 99 under as a fraction [ however I'm not sure but I think thats right]

Answer:

65/99

Step-by-step explanation:

65/99

Given 35,000, find each share in the ratio 2:5​

Answers

Answer:

14000:21000

Step-by-step explanation:

2:3 = 2x + 3x

2x + 3x = 35,000

5x = 35,000

x = 35,000/5

x = 7000

2x = 7000 * 2

    = 14000

3x = 7000 * 3

    = 21000

Parallelogram L M N O is shown. Angle N is (2 x) degrees and angle L is (3 x minus 20) degrees. What is the measure of angle L in parallelogram LMNO? 20° 30° 40° 50°

Answers

Answer:

The measure of angle L is 40°

Step-by-step explanation:

we know that

In a parallelogram the opposite angles are congruent and the opposite sides are congruent and parallel

see the attached figure to better understand the problem

so

In this problem

∠L≅∠N

∠M≅∠O

we have

∠L=(3x-20)°

∠N=(2x)°

so

equate the angles and solve for x

[tex](3x-20)\°=(2x)\°[/tex]

[tex]3x-2x=20[/tex]

[tex]x=20[/tex]

Find the measure of angle L

[tex]L=(2x)\°[/tex]

substitute the value of x

[tex]L=(2(20))=40\°[/tex]

Answer: what the other guy said

Step-by-step explanation: yea

WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!!!!!!!

The vertices of pentagon PQRST are P(0, 1), Q(2, 2), R(5, 3), S(4, 0), and T(1,−1). If pentagon PQRST is reflected over the y-axis which vertex will NOT change its coordinates?

Answers

It should be point p (0,1)

Answer:

P(0,1)

Step-by-step explanation:

The vertices of pentagon PQRST are P(0, 1), Q(2, 2), R(5, 3), S(4, 0), and T(1,−1).

If a figure reflected across y-axis, then the relation between preimage and  image is

[tex](x,y)\rightarrow (-x,y)[/tex]

If the pentagon PQRST reflected over the y-axis, then vertices of image are

[tex]P(0,1)\rightarrow P'(0,1)=P[/tex]

[tex]Q(2,2)\rightarrow Q'(-2,2)[/tex]

[tex]R(5,3)\rightarrow R'(-5,3)[/tex]

[tex]S(4,0)\rightarrow S'(-4,0)[/tex]

[tex]T(1,-1)\rightarrow T'(-1,-1)[/tex]

Therefore, only vertex P will not change its coordinates after reflection.

Please answer this correctly

Answers

Answer:

Heather

Step-by-step explanation:

Because it says that Heather lives FARTHER away from the park than Bryant and that Eva lives CLOSER to the park than Bryant

So since Heather lives even farther away than Bryant she definitely lives farther away than Eva because she's closer than Bryant

Rewrite the radical expression as an expression with rational exponents.

fifth root of x to the power of 9

a- x to the five ninths power
b-x to the nine fifths power
c-5x9
d- 9x5

Answers

The fifth root of x can be expressed as a power of 1/5 this way:

x^(1/5).

Now raise [x^(1/5)] to the 9th power.

[x^(1/5)]^(9)

Multiply the powers to complete the problem.

x^(9/5)

Answer: Choice B.

Final answer:

The expression 'fifth root of x to the power of 9' can be rewritten as 'x to the 9/5 power' in terms of rational exponents, this is option b.

Explanation:

The correct rewrite of the expression, 'fifth root of x to the power of 9', utilizing rational exponents instead of a radical approach, is expressed as x to the 9/5 power. When translating a radical to a rational exponent, the index of the root becomes the denominator and the power of the term inside the root becomes the numerator.

So, fifth root of x to the power of 9 translates to x to the power of 9/5, which corresponds to option b.

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You dont have to do the ttee diagram, how many oitcomes are there for the sandwich thanks.

Answers

There are 3 breads, 3 meats and 2 cheese.

To find the total different outcomes, multiply the 3 together:

3 x 3 x 2 = 18

There are 18 different possibilities.

How do I solve 80+(-22 4/15)

Answers

Final answer:

The expression 80 + (-22 4/15) is solved by converting the mixed number to an improper fraction, aligning the fractions by the same denominator, and then adding them to get 58 4/15 as the result.

Explanation:

To solve the expression 80 + (-22 4/15), follow these steps:

First, convert the mixed number -22 4/15 into an improper fraction. To do this, multiply the whole number by the denominator and add the numerator: (-22 × 15) + 4 = -330 + 4 = -326, so the mixed number becomes -326/15.

Next, since 80 is a whole number, we can convert it into a fraction with the same denominator of 15 to make it easier to add to -326/15. To do that, multiply 80 by 15/15, which is the equivalent of 1, to get the fraction 1200/15.

Now, add the two fractions: 1200/15 + (-326/15) = (1200 - 326)/15 = 874/15.

This fraction can be simplified back into a mixed number by dividing the numerator by the denominator: 874 ÷ 15 = 58 with a remainder of 4, so the mixed number is 58 4/15.

Therefore, the solution to the expression 80 + (-22 4/15) is 58 4/15.

I do not understand how to figure this out.....

2(3x+6)=42

Answers

Answer:

5

Step-by-step explanation:

2(3x + 6) = 42

(3x + 6) = 42/2

(3x + 6) = 21

3x + 6  = 21

3x  =  21 - 6

3x  =  15

x = 1/3

x = 5

Answer:

The answer would be x=5

Step-by-step explanation:

2(3x+6)=42

so what you're gonna do is use the distributive property, so you would multiply 2 and 3x, and 2 and 6. so then you would have:

6x+12=42

Now you want to get rid of the twelve so you can solve for x. So you are going to subtract 12 from 12 and 42. So now you have:

6x=30

Next you're going to divide 6x and 30 by 6. So you would have x=5

Does anyone know how its -25? Need an explanation asap!

Answers

So substitute the x and y

-4(-4+2)^2 - 3^2
-4(-2)^2 - 9
-4(4)-9
-16-9
-25

Select the correct answer.

When Emma saves each month for a goal, what is the value of the goal called?

A.
annuity value
B.
future value
C.
payment value
D.
present value

Answers

Answer:

future value

Step-by-step explanation:

The value of the goal is called future value. Then the correct option is B.

What is a future value?

The worth of a present asset at a certain stage in the future, depending on an estimated growth, is called future value (FV).

The FV estimate allows investors to make a reasonable assumption about equity investment earnings.

When Emma saves each month for a goal.

Then the value of the goal is called future value.

Thus, the correct option is B.

More about the future value link is given below.

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Tomas and Kyle each bought a shirt at the school store. Tomas gave the cashier a $20 bill and received $6.15 in change. Kyle
gave the cashier a $10 bill and received $1.06 in change. Which statement about the cost of the shirts is true?
Tomas's shirt costs $5.09 more than Kyle's shirt.

Answers

Answer:

for tomas 19.100-6.15=$13.85dollars

so tomas's shirt cost $13.85

for kyle 9.100-1.06=$8.94

13.85-8.94=4.91

so tomas's shirt $4.91more than Kyle's shirt

Answer:

Tomas's shirt costs $4.91 more than Kyle's shirt.

Step-by-step explanation:

It is given that Tomas gave the cashier a $20 bill and received $6.15 in change. So, the cost of Tomas's shirt is the difference between the amount he gave and he received in change.

Cost of Tomas's shirt = $20 - $6.15 = $13.85

Kyle gave the cashier a $10 bill and received $1.06 in change. So,

Cost of Kyle's shirt = $10 - $1.06 = $8.94

The cost of Tomas's shirt is $13.85 and the cost of Kyle's shirt is $8.94.

Cost of Tomas's shirt is more that the cost of Kyle's shirt.

$13.85- $8.94=$4.91

Therefore, Tomas's shirt costs $4.91 more than Kyle's shirt.

f(-2) : f(x)= -x^2+5x-12

Answers

EASY PEASY i got u bro

f(-2) = -(-2) + 5(-2) - 12

= 2 -10 -12

= -20

F(-2) = -20

Just plug in -2 for x

30. Pay rate Paolo earned $500/week by
working 8 h/day, 5 days/week. What was his
hourly rate of pay?

Answers

8 * 5 = 40

Paolo gets $500/week for 40h/week.

500/40 = 12.5

He earns $12.50 an hour.

A closed container has 5.04 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10−24 grams.

Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container? (1 point)


8.42 grams, because (5.04 ⋅ 1.67) ⋅ (1023⋅ 10−24 ) = 8.4168

6.71 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71

0.67 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71 ⋅ 10−1

0.84 grams, because (5.04 ⋅ 1.67) ⋅ (1023⋅ 10−24 ) = 8.4168 ⋅ 10−1

Answers

Answer:

The correct option is the last one (0,84 grams, because (5.04 × 1.67) × (10^23 x 10^-24) = 8.4168 x 10^-1))

Step-by-step explanation:

The first step is to think that you have to multiply the number of atoms for the weight of each atom.

When you work with scientific notation, you should solve the operation for numbers and for the ten base. In this case you solve 5.04 x 1.67 and then the product of the ten bases. For this product you have to sum the exponents of the ten base 23 + (-24) = -1.

Summarizing.... 5.04 x 10^23 x 1.67 x 10^-24 = (5.04 x 1.67) x (10^23x10^-24)  ⇒ 5.04 x 10^23 x 1.67 x 10^-24 = 8.4168 x 10^-1

⇒ 5.04 x 10^23 x 1.67 x 10^-24 = 0,84168.

Answer:

the answer is d the last one

Step-by-step explanation:

Tommy is beginning a science experiment in the lab. The instruction call for 0.322 kilgram of potassium. Write 0.322 as a fraction

Answers

the answer is

161/500

1. A right circular cylinder has a height of 5 in. and a base area of 20 in2. What is the volume of the cylinder? Use π = 3.14.
2. A cylinder has a base area of 20.7 in2 and the volume is 207 in3. What is the height of the cylinder?

Answers

1. Volume of a cylinder is πr^2h

Area of the base would be πr^2

Volume would be the height x the area of the base:

Volume = 5 x 20 = 100 cubic in.

2. Divide the volume by the area:

207 / 20.7 = 10

The height is 10 inches.

Answer:

1. V = 100 in³2. h = 10 in

Step-by-step explanation:

The formula of a volume of a cylinder:

[tex]V=Bh[/tex]

B - base area

h - height

1. We have

h = 5in, B = 20 in².

Substitute:

[tex]V=(5)(20)=100\ in^3[/tex]

2. We have

B = 20.7 in², V = 207 in³.

Substitute:

[tex]207=20.7h[/tex]            divide both sides by 20.7

[tex]\dfrac{207}{20.7}=\dfrac{20.7h}{20.7}\\\\10=h\to h=10\ in[/tex]

ASAP: What is: X + 6 = 4. I know its a negative but which number???​

Answers

Answer:

x=-2

Step-by-step explanation:

x+6=4

x-6=-6+4

x=-2

Answer:

-2

Step-by-step explanation:

x = 6 - 4

x = -2

Please answer this correctly

Answers

Answer:

28:26

Explanation:

Because a ratio compares things. Since there are 26 students on the floor, and 28 students on the bleachers, you would type 28:26.

I hope I was helpful :)

Y=-1/7x-11 in standard form

Answers

Answer:

x+7y = -77

Step-by-step explanation:

multiply both sides by 7 to get rid of denominator

7y = -x-77

now move x term to other side

x+7y = -77

write an integer for the situation "An average temperature of 7 degrees below normal

Answers

-7.

Explanation:

Since it says “below normal”, it means below 0.

0-7=-7
Final answer:

The average temperature of 7 degrees below normal can be represented as the integer '-7'. This is because in mathematics, a 'below' situation often equates to a negative value.

Explanation:

The situation describes 'an average temperature of 7 degrees below normal'. In the context of integers, 'below' generally refers to a negative value. Hence, we would represent this situation with the integer '-7'. This is because a below normal temperature is often regarded as a decrease or loss, which is conventionally represented in mathematics as a negative value.

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If you vertically compress the absolute value parent function, f(x) = [xl, by a
factor of 4, what is the equation of the new function?

Answers

Answer:Vertical stretch/compression is achieved by multiplying the function by a certain constant. In particular, if  the function is vertically stretched by a factor k, otherwise, if , the function is vertically compressed by a factor k. So, in your case, you want to multiply the function by 1/4.

Write 9.054 X 10-6 in standard form.

Answers

Answer:

0.000009054

Have a nice day!!! :-)

9.054 X 10-6 is represented by the conventional form 0.000009054.

Explain about the standard form?

Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form.

A linear equation has the conventional form Ax+By=C. A slope-intercept form equation (y=mx+b) must have the x and y on the same side of the equal sign and the constant on the opposite side in order to be converted to standard form.

Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form. If you look closely, you will see that 1.23 is a decimal between 1.0 and 10.0, and as a result, we have the standard form of 123,000,000 as 1.23 108.

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At camp, there are 12
campers and 2 counselors
in each cabin. What is the
ratio of campers to total
people in the cabin?

Answers

Answer: 50

Step-by-step explanation:

50+0

The letter J is formed by sticking up the smallest finger and folding all the other fingers into the palm of your hand with the thumb folded over them.

Answers

Final answer:

The letter J is formed by the opposition movement of the thumb toward the fingers of the same hand.

Explanation:

The subject of this question is Biology, specifically the anatomy of the hand and the movement of the thumb.

The letter J is formed by sticking up the smallest finger and folding all the other fingers into the palm of your hand with the thumb folded over them. This hand movement is an example of the opposition movement of the thumb toward the fingers of the same hand, which allows us to grasp and hold objects.

The thumb joint, which can move back and forth and up and down, but more freely than the wrist or fingers, plays a key role in the formation of the letter J.

Renaldo catches the bus at 4:00 pm to ride 3.2 miles from his house to the dentists office. he arrives at 4:30 pm, for a one hour appointment. then he will ride a bus traveling at te same rate of speed for 4.8 miles to the soccer field. will he be on time for his 6:30 pm soccer practice?

Answers

Answer:

Step-by-step explanation:

speed = distance/time

so renaldo speed = 3.2/0.5 = 6.4miles/hr (since time taken is 1/2 hr)

now after 1 hr of his appoinment i.e at 5:30pm he took bus whose speed is same as before i.e 6.4 miles/hr

now time taken to cover this 4.8 miles = 4.8/6.4 = 3/4 hr (since time = distance /speed )

3/4 hr = 3/4 * 60 = 45 minutes

so he reached at 6:15pm . so he will be on time.

Help me please. Solve this equation with the steps. -5•10^x=-31. Thank you

Answers

Answer:

[tex]x=0.79[/tex]

Step-by-step explanation:

we have

[tex]-5(10^{x})=-31[/tex]

step 1

Divide by -5 both sides

[tex]10^{x}=31/5[/tex]

step 2

Apply log both sides

[tex]log[10^{x}]=log[31/5][/tex]

step 3

Applying Property of logarithms

Remember that

[tex]log(x^{y})=ylog(x)[/tex]

so

[tex]xlog[10]=log[31/5][/tex]

Remember that

[tex]log(10)=1[/tex]

substitute

[tex]x=log[31/5][/tex]

[tex]x=log(6.2)[/tex]

[tex]x=0.79[/tex]

Is this statement is true -8< 8

Answers

Yes 8>-8 because 8 is negative
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