An envelope has a perimeter of 30 inches. Its area is 50 square inches. What are the dimensions of the
envelope?
inches by
inches

Answer:

80

Step-by-step explanation:

Look at the figure below. The perimeter is the same as if the corners were moved out to form a square. Then you have 4 congruent sides of length 20.

P = 4 * 20 = 80

The perimeter of a shape is the summation of the sides of the shape. The perimeter of the shape is 80 units.

From the attached figure, we have the following observations

This means that if the shape is drawn (see attachment) to have 4 sides, opposite sides of the shape will be congruent.

The first side length is:

[tex]Length = 20[/tex]

While the adjacent side length is:

[tex]Width = 12 + 8 =20[/tex]

The perimeter (P) of the shape is then calculated as follows:

[tex]P = 2 \times (Length + Width)[/tex]

[tex]P = 2 \times (20 + 20)[/tex]

[tex]P = 2 \times 40[/tex]

[tex]P = 80[/tex]

Hence, the perimeter of the shape is 80 units.

Read more about perimeters at:

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Answer:

10

Step-by-step explanation:

The pattern is multiplication by 2,

5x2 is 10

10x2 is 20,

and so on

Answer:

your answer is 10

Step-by-step explanation:

5 ,10 ,20 ,40 ,80

Answer:

No they will no have the same strength. So what I did was find a common number between them so between 8 and 6 they both can be multiplied to 24. So 6 goes into 24 4 times so I multiplied 3 times 6 and then 8 goes into 24 3 times so I multiplied 3 and 5 and so the final answer is that bart has more strong fertilizer

Step-by-step explanation:

6*4=24 4*3=12

8*3=24  5*3=15

Answer:

x=7.965784

Step-by-step explanation:

Answer:

$130,626.56

Step-by-step explanation:

Kayla is financing $168,125 to purchase a house. She obtained a 25/8 balloon mortgage at 3.85%. What will her balloon payment be?

We are told that: She obtained a 25/8 balloon mortgage at 3.85%

This means the loan is amortized for 25 years and she would be monthly payment for 8 years before making the balloon payment.

Step 1

We find Monthly payments

Pmt = (A * i * (1 + i)ⁿ) / ((1 + i)ⁿ - 1)

Where:

Pmt - monthly payment;

A - Loan amount = $168,125

i - periodic interest rate = 3.85% = 0.0385

and

n - number of periods =

1 year = 12 months

8 years = x

x = 8 × 12 months = 96 months

n = 96 months

Pmt = (168,125 × 0.0385 * (1 + 0.0385)⁹⁶) / ((1 + 0.0385)⁹⁶- 1)

Pmt = $873.56

Step 2

When we find the monthly payment, we can compute the balance due after the term of a balloon loan.

B = (A * (1 + i)ⁿᵇ) - Pmt / i * ((1 + i)ⁿᵇ - 1)

Where:

B - Balloon payment

nb - Number of balloon loan periods =

Pmt - Monthly payment = $873.56

B = (168,125 × (1 + 0.0385)⁹⁶) - 873.56 / 0.0385 × ((1 + 0.0385)⁹⁶- 1)

B = $130,626.56

Answer:

13.9

Step-by-step explanation:

13.85 feet far up the side of the house will the ladder reach now.

Given that, a 26 feet ladder is set against the side of a house so that it reaches up 24 feet.

In mathematics, you can calculate the height of an object using the distance and angles. Here distance is the horizontal distance between the object and the angle is the angle above the horizontal of the top of the object, which gives the height of the object.

Let the distance between base of house to foot of the ladder be x.

Using Pythagoras theorem 26²=24²+x²

⇒ 676 = 576 + x²

⇒ x² = 100

⇒ x =10 feet

Mila grabs the ladder at its base and pulls it 12 feet farther from the house.

Now, the distance between base of house to foot of the ladder = x+12

= 10+12 = 22 feet.

So, up the side of the house the ladder reach = 24-h

Then, 26² = (24-h)²+22²

⇒ 676 = (24-h)²+484

⇒ (24-h)² = 192

⇒ (24-h) = √192

⇒ (24-h) = 13.85

⇒ h = 24-13.85

⇒ h = 10.15 feet

Therefore, 13.85 feet far up the side of the house will the ladder reach now.

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Answer:

4

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

If you input the y-value into the equation you get x = 5.

-6x-8(-2) = -14

-6x+16 = -14

-6x+16-16 = -14-16

-6x = -30

(-6x)/-6 = (-30)/-6

x = 5

Answer:

Step-by-step explanation:

The gravitational potential energy of a body can be found by using the formula

GPE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

We have

GPE = 2.5 × 9.8 × 300

We have the final answer as

Hope this helps you

Answer:

[tex]c= \sqrt{41}[/tex]

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\4^{2} + 5^{2} = 16 + 25 = \sqrt{41} = c[/tex]

Answer:

6.4

Step-by-step explanation:

As we can see it is a right angled triangle so

perpendicular (p)= 5

base (b) = 4

hypotenuse (h) = c = ?

we know

by using Pythagoras theorem,

h² = p² + b²

or h = √(p² + b²)

c = √( 5² + 4 ² )

c = √41

c = 6.4

hope it helps :)

Answer:

3.88

Step-by-step explanation:

Given that

42x = 163

It set 2x = 3

and x = 32

We need to tell the mistake and mentioned the correct answer

if we solve the above equation i.e.

42x = 163

x = 3.88

Hence, in this way it should be calculated

The same would be considered and relevant

Hence, the correct answer is 3.88

Answer:

Step-by-step explanation:he first digit must be a 6, 7, or 8, because the number has to be bigger than 6,000.

The last digit must be a 1, 3, 5, or 7, because the number has to be odd.

So if the first digit is 6 or 8, there are 4 odd-number options for the last digit. If the first digit is a 7, then there are only 3 options for the last digit, as 7 can’t be used twice.

The other two digits can be anything that’s not already used. So for each first-and-last combination of digits mentioned above, there will be six options available for one of the middle digits, and then for each of those 3-digit combinations, five options will be available for the final remaining digit.

At this point, we have everything we need to express this as an equation:

x = (2 x 4 + 1 x 3) x 6 x 5

And then we can simplify and solve:

x = (8 + 3) x 30

x = 11 x 30

x = 330

Answer:

1/10

Step-by-step explanation:

we already know skler has done 3/10s we make Rileys into 4/10 4/10 minus 3/10 is 1/10

0.4-0.3=0.1

The person does about 1/10, 0.1, and 10% more.

Answer:

B

Step-by-step explanation:

if you can see in the graph, the graph axes calculation is not the same with the one given.

Answer:

AC ≈ 10.1 m

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos20° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{9.5}{AC}[/tex] ( multiply both sides by 9.5 )

AC × cos20° = 9.5 ( divide both sides by cos20° )

AC = [tex]\frac{9.5}{cos20}[/tex] ≈ 10.1 m ( to 3 sf )

Answer:

Todos esses outros números são divisores e os fatores de 24 são 2 e 3. Para fatorar um número devemos dividi-lo por números menores começando pelo 2 e ir aumentando, até restar 1.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

(-5,-9) --> (-8,-2)

The square root of 49/900 is 7/30 according to the given question, it can be done through simplification process.

To find the square root of 49/900, we can simplify the fraction first:

The square root of a number is a mathematical operation that determines a value which, when multiplied by itself, yields the original number. In simpler terms, the square root of a number "x" is the value "y" such that y multiplied by y equals x. The square root is denoted by the radical symbol (√).

49/900 = [tex](7^2)/(30^2)[/tex]

Taking the square root of the numerator and denominator separately, we get:

√ [tex](7^2) /[/tex]√([tex]30^2[/tex])

Simplifying further, we have:

7/30

Therefore, the square root of 49/900 is 7/30.

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Answer:

6, 8, and 10

Step-by-step explanation:

For a set to represent the side lenghts of a right triangle, square value of hypotenus must be equal to sum of square value of other two side lenghts

the set that meet these requirment is

10^ = 6^2+8^2

100 = 36 + 64

Answer:

its 2,3 and 4 its the correct answer

#CARRY ON LEARNING

Answer:

Singapore

Step-by-step explanation:

I did japan and I got it wrong and it told me the right one was Singapore.

Hope this helps!

BRAINLIEST PLEASE!!

FROM: AUG1E

Answer:

2/24

Step-by-step explanation:

This is because there are chance of getting the other colors.

Answer:

8.3% probability

Step-by-step explanation:

(3) YELLOW  ⇒   [tex]\frac{3}{12}[/tex]   ⇒  25%

(5) BLUE       ⇒   [tex]\frac{5}{12}[/tex]   ⇒  41.6%

(4) RED         ⇒   [tex]\frac{4}{12}[/tex]   ⇒  33.3%

║(12) IN TOTAL

[tex]\frac{4}{12}[/tex] ⋅ [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{12}[/tex]

[tex]\frac{1}{12}[/tex] = 8.3%

PROBABILITY OF (1) RED, AND (1) YELLOW  ⇒ 8.3% probability

Answer:

first

2nd

_______________

Answer:

True

Step-by-step explanation:

J(9 , 0) ;   K(-3 , -4)

Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]

               [tex]= (\frac{9+(-3)}{2},\frac{0+(-4)}{2}\\\\\\= (\frac{6}{2},\frac{-4}{2})\\\\=(3 , -2)[/tex]

(3 , -2) lies in quadrant IV

Answer:

the y intercept

so up 1 from (0,0)

Answer:

Sawyer had $50 in his account before his purchase.

Step-by-step explanation:

$10.25 + $39.75 = $50

So he had $50 before he bought the journal

                   Hope this helps! good luck :)

Answer:

2/5 or 0.4

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

4/15 *3/2

12/30

6/15

2/5

Answer: The first graph

Step-by-step explanation: I used a graphing calculator

Answer:

1/4

Step-by-step explanation:

Answer:

7/32

(btw thats the simplified version....look at the bottom for non-simplified if you didnt need it simplified)

Step-by-step explanation:

first count how many squares there are in total

its 8 by 8 so in total there are 64!

now there is the green triangle.....

count all the whole squares in it = 10

now count all the half squares (little triangles in it)= 8

Now if you put those little triangles together it would make one small unit square so it is 4 of all

10 + 4 = 14

So there is a Total of 14 unit squares in the green triangle

Fraction Time......

now lets take 14/64 and simplify it

that would be 7/32

We cant make it any more simplified now if you werent looking for the simplified version the your answser would be 14/64