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Answer: 3.21%

Step-by-step explanation:

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

Answer:

85 cm = .85 meters

8.5 / .85 = 10 seconds

Step-by-step explanation:

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:

oh wow

Step-by-step explanation:

LOLLLLLLLLLLLLLLLLLLLLLLLLLL

Answer: $ 12.05

Step-by-step explanation:

Answer:

Step-by-step explanation:

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.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ5

Answer:

the anwser is a

Step-by-step explanation:

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:

1 mph = 1.46666667  fps

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.

Learn more about areas on: https://brainly.com/question/27030227

#SPJ2

Answer:

10,000 miles

Step-by-step explanation:

First of 25,000 miles =8,000 dollars to the cars worth so the maxium account you can add to the mileage is 10,000 in order to keep the regulations and guidelines of car companies.

Answer:

15ft

Step-by-step explanation:

a^2 + b^2 = c^2

12 or 9 can equal to b or a

12^2 + 9^2 = c^2

144 + 81 = c ^2

225 = c^2

Square root of 225

15 = c

Answer:

15

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + 12^2 = c^2

81+144 = c^2

225 = c^2

15 = c

Answer:

x = 17     y= -38

Step-by-step explanation:

x + y = -21

y = x - 55

It doesn't matter whether x or y is 55 less than the other right now.

substitute for y:

x + x - 55 = -21

solve for x:

2x = 34

x = 17

solve for y:

17 + y = -21

y = -38

Answer:

1/4

Step-by-step explanation:

5/12-1/6

1/6=2/12

5/12-2/12=3/12=1/4

Answer:

1/4 or 0.25

Step-by-step explanation:

Answer:

0.03

Step-by-step explanation:

Given data

Probability that it will rain on Sunday= 0.7

Probability that it will rain on Monday = 0.2

Firstly we need to solve for the probability that it will rain on Tuesday

Sample space S = number of week days = 7

Probability that I will rain on Tuesday = 1/7= 0.14

Hence the probability that it rains on BOTH Monday and Tuesday= 0.2*0.14= 0.028

Rounding up the nearest hundredths = 0.03

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:

x + 2y = 10 = x + y = 5

Step-by-step explanation:

x + 2y = 10

divide 2 by 10

x + y = 5

This is all I really know how to do sorry  

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:

the answer would be 2mm^2

Answer:

2

Step-by-step explanation:

Triangle Area Formula: (b*h)/2

B: 8

H: 2/4= 1/2=0.4

8*0.5/2= 2

Area ofthe triangle= 2

Answer:

Yes, 2

Step-by-step explanation:

Got it right on Edge 2020

Answer: 1: YES 2: 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

145 = 2x + 15

2x = 130

x = 65 (ANS)

Answer:

65º

Step-by-step explanation:

145º = (2x + 15)º

145º = (2x + 15)º

145º - 15º = 2xº + 15º - 15º

130º = (2x)º

x = 65º

Answer:

Is this PSAT or where are u answering this question?

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:

The mean value = $80.5

Step-by-step explanation:

The value of her last six spendings are $109, $72, $99, $15, $99, and $89.

For the mean.

Mean = Total spendings/number

Mean =483/6

Mean = $80.5

For the median.

Lets arrange it in ascending order

$15 ,$72, $89, $99, $99, $109

The middle values are two.

Median = (89+99)/2

Median = 188/2

Median = $94

For the mode

$15 ,$72, $89, $99, $99, $109

Highest occuring is $99 with two frequencies.

To convince her parents that she needs an increase in allowance she would show them the bigger spendings .

So the least value on the list it's mean value which is $80.5.

Answer:

supplementary angles

Step-by-step explanation:

Supplementary angles add to 180

Complementary angles add to 90

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: 54.43

Step-by-step explanation:

381 / 7

Answer:

A. 4 Feet 1/2 inches

Step-by-step explanation:

54/12=4.5

Answer:

4 ft 6 inches

Step-by-step explanation:

we know that 12 inches is 1 ft

24 inches is 2 ft

36 inches is 3 ft

48 inches  is 4 ft

60 inches is 5 ft

So 4 ft

54 - 48 = 6 left over

4 ft 6 inches

Answer:

1. C

2. UNKNOWN

3. (x-4)(x-2)

4. 5, -7

5. vertex=(3,4)

   minimum value=4

6. UNKNOWN

7. 5/3

8. D

9. C

Step-by-step explanation:

Answer:

$63 is the answer

Step-by-step explanation:

100-37=63