6% of it is 27
I need help. Someone please give me a explanation of how to do this.

Answer:

20.93cm

Step-by-step explanation:

The shape of the solid is rectangle

Area = length × width

But the width (w) = 2 times the length minus 2

W = 2L - 2

A = L × (2L - 2)

Area of the rectangle = 182cm²

A = 2L² - 2L

182 = 2L² - 2L

2L² - 2L - 182 = 0

L² - L - 91 = 0

Solving the equation using quadratic formula,

A = 1, b = -1, c = -91

L = [-b±√(b² - 4ac)]/2a

L = [-(-1) ± √((-1)² - 4*1*(-91))] / 2(1)²

L = [1 ± √(1² + 364)] / 2

L = [1 ± √(365)] / 2

L = (1 ± 19.10) / 2

Note : Since we're working with length, we can't have a negative value as a solution hence we would not test both sides

L = (1 + 19.10) / 2 = 10.05cm

Width = 2L - 2

W = 20.1 - 2 = 18.10cm

Length = 10.05cm

Width = 18.10cm

Diagonal of the rectangle = ?

To find the diagonal, we'll use pythagorean theorem,

A = diagonal

B = length

C = width

a² = b² + c²

a² = (10.05)² + (18.10)²

a² = 110.25 + 327.61

a² = 437.86

a = √(437.86)

a = 20.93cm

The diagonal of the rectangle is 20.93cm

Answer:

Step-by-step explanation:

[tex]1)\sqrt[4]{81h^{4}}=\sqrt[4]{3*3*3*3*h^{4}}\\\\=\sqrt[4]{3^{4}*h^{4}}\\\\ =3*h\\\\=3h[/tex]

Answer:

A proportional relation is a logical relation that establishes a range of conditional relations that together involve direct or inverse correlation.

Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.

A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

I have to make sure that there is at least one variable that directly effects another.

Some equations are y = 3x, y = 1.5x, and y = 2/3x.

Step-by-step explanation:

Answer: 54.43

Step-by-step explanation:

381 / 7

Answer

B. 608

Step-by-step explanation:

38-14=24

24*16=384

14*16=224

384+224=608.

you are welcome!!

The area of the figure is  608 square centimeters.

How to determine the area of the trapezoid?

Given

A trapezoid with a short base of eighteen centimeters, long base of thirty-eight centimeters, height of sixteen centimeters, and diagonal side lengths of twenty centimeters.

Thus,

38-14=24

24*16=384

14*16=224

384+224=608.

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Answer:

[tex]n > 1[/tex]

Step-by-step explanation:

Given

Statement: 4x n is greater than 4

Required

Value of n

First we need to rewrite the statement in algebraic form;

Product 4 * n is represented by 4n

greater than 4 is represented by > 4

Bringing these two together, it gives the following

[tex]4n > 4[/tex]

Divide through by 4

[tex]\frac{4n}{4} > \frac{4}{4}[/tex]

[tex]n > 1[/tex]

We've arrive at solution;

This means that n is greater than 1

So, the values of n must start from 2 to show that the condition is true

The value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have n as a number.

4n > 4

Plug n = 5

20 > 4 (true)

Plug n = 9/5

36/4 > 4

9 > 4 (true)

Plug n = 3

12 > 4 (true)

Plug n = 7/8

28/8 > 4

3.5 > 4  (false)

Thus, the value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.

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Answer:

3.5

Step-by-step explanation:

26, 31, 32, and 39

First we need to find the mean

(26+ 31+ 32+ 39) /4

128/4 = 32

The mean absolute deviation is sum of   the positive difference between the number and the mean  divided by the number of terms

((32-26)+ (32-31)+ (32-32)+ (39-32)) /4

14/4

3.5

Answer:

The answer is D

Step-by-step explanation:

Answer:

obtuse

Step-by-step explanation:

Over 90 degrees

Answer:

Obtuse

Step-by-step explanation:

The angle is obtuse because the angle is more than 90 degrees.

Answer:

supplementary angles

Step-by-step explanation:

Supplementary angles add to 180

Complementary angles add to 90

Answer:

I am pretty sure it is the 3rd one

(In geometry, an isosceles triangle is a triangle that has two sides of equal length. And i think 3 of them are an isosceles triangle)

Answer:

there are 3 isosceles triangles

explanation:

triangles A B and D are isosceles

Answer:

121

Step-by-step explanation:

Answer:

121

Step-by-step explanation:

Because it shows clearly that small box is 121

Answer:

Is this PSAT or where are u answering this question?

Answer:

The number of applicants that have ages that fall within the box of the boxplot = 10.

Step-by-step explanation:

box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value.

The boxplot usually consists of a box and a whisker plot.

The whiskers represent data that is less than the first quartile or 25th percentile and data that is more than the third quartile or 75th percentile.

The box of the boxplot is bounded by the first quartile or 25th percentile and the third quartile or 75th percentile.

Hence, the fraction of the distribution that is usually contained in the box of the boxplot is (75 - 25), 50% of the distribution.

The total number of applicants = 20

50% of 20 = 10.

Hence, the number of applicants that have ages that fall within the box of the boxplot = 10

Hope this Helps!!!

Answer: the answer choice “d” is correct

Step-by-step explanation:

because the different symbols mean different things and yeah

Answer:

D

Step-by-step explanation:

lesser value -------    < --------This side bigger value {open mouth}

78 < 81

81 is bigger than 78

Answer:

Step-by-step explanation:let x be the number of bicycles,

let y be the number of tricycles

given x+y=20→equation 1

also given 2x+3y=44→equation 2

from eq 1, y=20-x

substitudin ineq 2

2x+3(20-x)=44

2x+60-3x=44

60-x=44

-x=44-60

=-16

x=+16

then y=20-16=4

no of bicycles=16

no of tricycles=4

hope this helps

plzz mark me brainliest

Answer:

85 cm = .85 meters

8.5 / .85 = 10 seconds

Step-by-step explanation:

Answer:

Nickel= 1.8 kg

Zinc= 0.4 kg

Copper= 1.8 kg

Step-by-step explanation:

7:2:9

7=nickel

2=zinc

9=copper

7+2+9=18

18×2=36

7×2=14 2×2=4 9×2=18

Divide by 10

14÷10=1.4 4÷10=0.4 18÷10=1.8

1.8+1.4+0.4= 3.6

1.8=nickel

0.4=zinc

1.8=copper

Amount of each metal are needed to make 3.6 kg of this alloy are,

Nickel = 1.4 kg

Zinc = 0.4 kg

Copper = 1.8 kg

We have to given that,

An alloy is composed of nickel, zinc, and copper in a ratio of 7 : 2 : 9.

Now, We can assume that,

Amount of nickel = 7x

Amount of zinc = 2x

Amount of copper = 9x

Hence, We get;

⇒ 7x + 2x + 9x = 3.6

⇒ 18x = 3.6

⇒ x = 3.6 / 18

⇒ x = 0.2

Thus, WE get;

Amount of nickel = 7x

                           = 7 × 0.2

                           = 1.4 kg

Amount of zinc = 2x

                        = 2 × 0.2

                        = 0.4 kg

Amount of copper = 9x

                            = 9 × 0.2

                            = 1.8 kg

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Answer: 3.21%

Step-by-step explanation:

Interest = (1/t)(A/P - 1)

Answer:

1 mph = 1.46666667  fps

Answer:

x = 5 in.

Step-by-step explanation:

Volume = 1/3 * area of the base * height

200 = 1/3 * 8*15 * x

200 = 40x

x = 5 in.

Answer:

440 inches squared - the last option

Step-by-step explanation:

Step 1. Surface area of top square.

5 x 5 = 25 inches sq

Step 2. Surface area of the 4 sides of the cuboid.

5 x 8 = 40 inches sq

40 x 4 = 160 inches sq

Step 3. Surface area of the large square.

10 x 10 = 100 inches sq

100 - 25 (because it's being covered) = 75 inches sq

Step 4. Surface area of the 4 sides of the large flat cuboid.

2 x 10 = 20 inches sq

20 x 4 = 80 inches sq

Step 5. (OPTIONAL) Surface area of the bottom

10 x 10 = 100 inches sq

Step 6. Add up all.

25 + 160 + 75 + 80 (+ 100 if including the base) = 340

We can conclude that we have to include the base as well because 340 inches sq is not an option listed.

340 + 100 = 440 inches sq

440 inches sq is the last option

Hope this helps :)

Answer:

3419.46

Step-by-step explanation:

(pir^2h)/3

(3.14(121)(27)/3

3419.46

Answer:

This is a trick question- It is actually not hard to get to 440! Here's how:

You probably already know that the tall rectangles take up 4×(5×8)=160 of surface area, and that the short rectangles take up 4×(2×10)=80 of surface area. This looks like an office building so let's call it one.

You probably also saw the big, 10×10=100 inch area underneath the design.

BUT, did you know that the small, 5×5 inch square on top can be COMBINED with the weird, L-shaped flat-roof part in the middle? That's right! the 5×5 inch square can be seen as part of a full 10×10 inch square sitting on top of the short, wide rectangles.

If you look at the L-shaped flat roof, you can see that it's actually 3 more 5×5 squares. You need to connect the 10-inch dimension on the bottom with the 5-inch one on the top.

SO, the answer is gonna be:

160 in² in tall rectangles, +

80 in² in short rectangles, +

100 in² on the bottom, +

100² on the combined top small square and corner roof

Add those all up using some quick maths, and you get 440 in².

Some more details if you're still confused:

The sides of the tall rectangle? It's 5 inches by 8 inches, so each side 8×5=40 in². They go all around the tall box, so there are 4 of them. 40+40+40+40=160, or in other words, 40×4=160.

Do you see the short, wide rectangles on the bottom? they're 10 inches by 2 inches each, so each one is 2×10=20 in². They also go all around the short box, so they add up to 20+20+20+20=80, or in other words, 20×4=80.

Now I want you to think about the bottom of the design, underneath. It is 10 inches by 10 inches, so it is 10×10=100.

Finally, the small square on top of the tall rectangle, and that L-shaped part. Together, they make another 100, or 5×5 on top plus 5×10 + 5×5 again for the parts of the L-shaped roof, or 25+50+25, which equals 100.

Answer:

40 degrees

Step-by-step explanation:

Look at the attachment

Answer:

Yes, That is correct.

Step-by-step explanation:

Example: Multiply 0.05 by 1.1

start with:

 0.05 × 1.1

multiply without decimal points:

 5 × 11 = 55

0.05 has 2 decimal places,

and 1.1 has 1 decimal place,

so the answer has 3 decimal places:

 0.055

Priya's method easy finds the product of decimals because multiplying whole numbers is easier than multiplying decimal numbers.

Given that, Priya finds (1.05) × (2.8) by calculating 105 × 28 and then moving the decimal point three spaces to the left.

We need to explain why Priya's method makes sense.

To multiply decimals, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Now, 105 × 28 = 2,940

Moving the decimal point three spaces to the left, we get 2.940.

Also, (1.05) × (2.8) =2.940

Therefore, Priya's method easy finds the product of decimals, because multiplying whole numbers is easier than multiplying decimal numbers.

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Your question is incomplete, probably the complete question/missing part is:

Priya finds (1.05) × (2.8) by calculating 105 × 28 and then moving the decimal point three spaces to the left. Why does Priya's method make sense?

Answer:

try going for B

Step-by-step explanation:

Answer:

1. x = -4

  y = -20

2. x = -1

   y = 3

3. x = 7

   y = 4

4. x = -6.5

   y = -10.5

hope this helps :) sorry if I get it wrong!

Answer:

1) x=−4, y=−20

2) x=−1, y=3

3) x = 7 , y=4

4) x = -6.5 , y = -10.5

Step-by-step explanation:

1) y=5x;−3x+2y=−28

solving system by substitution:

substitute y =5x into 2nd equation:

-3x +2*5x =-28 → -3x+10x = -28 → 7x = -28 → x = -4

plug in  x in any equation and solve for  y = 5* -4 = -20

2) solving system by elimination:

Multiply the first equation by 7, and  the second equation by 5.

7(4x−5y=−19)

5(3x+7y=18)

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

28x−35y=−133

15x+ 35y= 90

Add them up to eliminate y:

43x=−43 divide both sides by 43

x=−1

plug x back into 1st equation to solve for y

4x−5y=−19

(4)(−1)−5y=−19

−5y−4=−19 add 4 to both sides

−5y=−15 divide by -5

y=3

3) y =4 , 5x -6y = 11

plug in 4 for y in 2nd equation and solve for x:

5x -6* 4 =11 simplify

5x - 24 = 11 add  24 on each side

5x = 11 +24 simplify

5x = 35 divide by 5 on each side

x =7

4) y = x -4, 2x - y = -2.5

use substitution method:

2x -(x-4) = -2.5 distribute ( )

2x-x+4 = -2.5 simplify

x + 4 = -2.5 subtract 4 on each side

x = -2.5 -4

x = -6.5

plug in -6.5 for x in 1st equation and solve for y:

y = -6.5 -4

y = -10.5

Answer:

V =267.9 inch^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 * 3.14 * (4)^3

V =267.946666666

Rounding to the nearest tenth

V =267.9 inch^3

Answer:

b

Step-by-step explanation:

hope this helps

Answer:

b

Step-by-step explanation: