which side is longer i need to solve this and i can’t tell

Answer: about 17.7%

Step-by-step explanation:

The area of a trapezoid is ((b1+b2)/2)*h

Thus, the area of the trapezoid is 85 meters squared.  Thus, because the garden is 480 meters squared, the trapezoid occupies 85/480 of the garden, or about 17.7 percent.

Hope it helps <3

Answer:

17.7% rounded to the nearest tenth

Step-by-step explanation:

Well to find the percent of space the trapezoid takes up we need to find both areas.

To find the area of a Rectangle we do l*w.

So the l is 30 and the w is 16 so,

30*15 = 480m^2

To find the area of a Trapezoid [tex]\frac{b1 + b2}{2}h[/tex].

So b1 is 20 and b2 is 14,

14 + 20 = 34

34/2 = 17

17 * h

17 * (5) = 85m^2

So now we make a fraction of the areas of the trapezoid and rectangle,

[tex]\frac{85}{480}[/tex]

Now we simplify,

85/5 = 17

480/5 = 96

So 17/96 is in its simplest form so now we do 17/96 which is 0.1770833333

So to the following into a percent we move the decimal places 2 places to the right which is about 17.7% rounded to the nearest tenth.

Responda:

Explicação passo a passo:

Dê = n a equação 5x + 5 = 4x - 2, para mostrar que x = -7 é a solução, as seguintes etapas devem ser seguidas.

Etapa 1: Subtraia 5 de ambos os lados da equação

5x + 5 - 5 = 4x - 2 - 5

5x = 4x - 7

Etapa 2: Subtraia 4x de ambos os lados da equação resultante

5x = 4x - 7

5x - 4x = 4x - 7 - 4x

x = -7

Isso prova que a solução é x = -7

b) Para mostrar que 5 não é a solução, substituiremos x = 5 em ambos os lados da equação e verificaremos se são iguais ou não. Se eles não são iguais, significa que 5 não é uma solução.

Para o lado direito da equação, ou seja, 5x + 5

f (5) = 5 (5) + 5

f (5) = 25 + 5

f (5) = 30

Para o lado esquerdo da equação, ou seja, 4x-2

f (5) = 4 (5) - 2

f (5) = 20-2

f (5) = 18

Como os dois valores não são os mesmos, [tex]30\neq 18[/tex] ou seja, isso mostra que 5 não é uma solução

Step-by-step explanation:

14.2a + 9.8b -13.1b + 0.2a - 3.7a -4.8b

= 14.2a + 0.2a -3.7a + 9.8b -13.1b -4.8b

= .......a + or - ....... b

The simplified form of the given expression is 10.7a-8.1b.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is (14.2a+9.8b)-(13.1b-0.2a)-(3.7a+4.8b).

Now, 14.2a+9.8b-13.1b+0.2a-3.7a-4.8b

Group like terms, that is

(14.2a+0.2a-3.7a)+(9.8b-13.1b-4.8b)

= 10.7a+(-8.1b)

= 10.7a-8.1b

Therefore, the simplified form of the given expression is 10.7a-8.1b.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

Step-by-step explanation:

Simply you replace X and Y by their values

Given: x=-1 y=-4

10 - (-X)^3 + y^2

=10 + X^3 + Y^2

Now replace X and Y

=10 + (-1)^3 + (-4)^2

=10 - 1 + 16

= 25

Answer:

The answer is 10m + 7n - 14

Step-by-step explanation:

Q = 7m + 3n

R = 11 - 2m

S = n + 5

T = -m - 3n + 8

[Q - R] + [S - T] is

[ 7m + 3n - (11 - 2m) ] + [ n + 5 - ( - m - 3n+8)]

Solve the terms in the bracket first

That's

( 7m + 3n - 11 + 2m ) + ( n + 5 + m + 3n - 8)

( 9m + 3n - 11 ) + ( m + 4n - 3)

Remove the brackets

That's

9m + 3n - 11 + m + 4n - 3

Group like terms

9m + m + 3n + 4n - 11 - 3

The final answer is

Hope this helps you

Answer:

7 + 10 = 17

7 * 7 * 7 = 343

17 / 343 = 0.04956268221

Answer:

The value of q/p = 144

Step-by-step explanation:

Number of cards in the box = 40

Each bearing a number: 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10

Each number appears 4 times cards in total

p = the probability that all four cards bear the same number.

q = the probability that three of the cards bear a number 'a' and the other bears a number 'b' that is not equal to 'a'.

The cards were chosen without replacement.

For Probability without replacement, the total number of items decrease after each pick. When considering same items, the number of the same item also decrease after each pick.

a) In this question, the order of the 4 cards picked is irrelevant.

Pr (4 same cards) = p = 4/40 × 3/39 × 2/38 × 1/37

p = 24/2193360 = 1/91390

Pr (3same cards and 1 different card) = q

Probability of picking 'a' card = 4/40

Probability of picking other cards aside 'a' = Probability of not picking 'a' card

= 36/40

Since we were not told what the particular number of the other number is, it would be any of the remaining 36 numbers.

b) In this question, we would consider the order of the 4 cards picked.

q = Pr(baaa) + Pr(abaa) + Pr(aaba) + Pr(aaab)

Without replacement

q = (36/40 × 4/39 × 3/38 × 2/37) + (4/40 × 36/39 × 3/38 × 2/37) + (4/40 × 3/39 × 36/38 × 2/37) + (4/40 × 3/39 × 2/38 × 36/37)

q = 4[(36×24)/2193360]

q= 144(24)/2193360 = 144(24/2193360)

q= 144(1/91390) = 144/91390

The value of q/p = (144/91390)/(1/91390)

The value of q/p = (144/91390) × (91390/1)

The value of q/p = 144

Answer:

candle burns down 1 cm per hour

Step-by-step explanation:

I believe that since the slope is -1, the steepness would be going downward. This means the candle would burn down.

Answer:

D.

Step-by-step explanation:

candle burns down 1 cm per hour

Answer:

centre=(0,3) radius =5

Step-by-step explanation:

The decimal point should be placed between digits 9 and 7 in the dividend. i.e the dividend becomes 269.7

Dividend = 26.97       [numerator]

Divisor = 6.3               [denominator]

If 26.97 ÷ 6.3 is written in long division form so that the divisor is written as a whole number, we have the following;

(i)First convert the divisor to a whole number by multiplying by 10 i.e

6.3 x 10 = 63

(ii) Since the divisor (denominator) has been multiplied by 10, to make sure the division expression stays the same, we need to multiply the dividend(numerator) too by 10. i.e

26.97 x 10 = 269.7

(iii) The division expression then becomes;

269.7 ÷ 63

Therefore, the decimal point should be placed between digits 9 and 7 in the dividend.

Answer:

98

Step-by-step explanation:

3 bed house= 33 rooms

4 bed house 40 rooms

4 bed house 25 rooms

each house is worth 2 houses. so u double everything

hope I got it right

Answer:

Side a = 88.67626

Side b = 57

Side c = 67.92995

Angle ∠A = 90° = 1.5708 rad = π/2

Angle ∠B = 40° = 0.69813 rad = 2/9π

Angle ∠C = 50° = 0.87266 rad = 5/18π

Area = 1,936.00371

Perimeter p = 213.60621

Semiperimeter s = 106.80311

Height ha = 43.66453  

Height hb = 67.92995

Height hc = 57

Median ma = 44.33813  

Median mb = 73.66633

Median mc = 66.35224

Inradius r = 18.12685  

Circumradius R = 44.33813  

Vertex coordinates: A[0, 0] B[67.92995, 0] C[0, 57]

Centroid: [22.64332, 19]

Inscribed Circle Center: [18.12685, 18.12685]

Circumscribed Circle Center: [33.96498, 28.5]

Answer:

Side F G and Side I H

Step-by-step explanation:

No picture attached but from the description, we got:

Trapezoid F G H I

F G ║I H  

Which sides of the trapezoid are parallel?

Answer:

the top answer is correct

Step-by-step explanation:

Answer:

3 + 2k

Step-by-step explanation:

1/5 (15+10k)

1/5 * 15 + 1/5 * 10k

3 + 2k

Answer:

3+2k

Step-by-step explanation:

We can apply the distributive property to the expression 1/5(15 + 10k):

1/5(15 + 10k)

= (1/5)(15) + (1/5)(10k)

= 3 + 2k

Answer:

complementary

b = 45 deg

Step-by-step explanation:

Angles b and 45-deg are complementary since their measures ad to 90 deg.

45 + b = 90

b = 45

Answer:

Complementary

45°

Step-by-step explanation:

b + 45° = 90°

b = 90° - 45°

b = 45°

Answer:

The expected value for the insurance company is $200

Step-by-step explanation:

In order to calculate the expected value for the insurance company we would have to make the following calculation:

expected value for the insurance company=expected value live+expected value die

expected value live=Net gain*probability of living

expected value live=$300*0.999=$299.70

expected value die=Net gain*probability of die

expected value die=(-$100,000 + $300)*0.001

expected value die=$-99.70

Therefore, expected value for the insurance company=$299.70-$99.70

expected value for the insurance company=$200

The expected value for the insurance company is $200

Answer:

a. 15 meters.

b. 20 meters.

Step-by-step explanation:

a. The height of the ball at 3 seconds. 20 * 3 - 5 * (3)^2 = 60 - 5 * 9 = 60 - 45 = 15.

The ball will be 15 meters high.

b. The maximum height reached by the ball.

To get that, we need to find the vertex of the parabola. We do so by doing -b/2a to find the x-coordinate of the vertex.

In this case, a = -5 and b = 20.

-20 / 2(-5) = -20 / -10 = 20 / 10 = 2.

Then, we find the y-coordinate by putting 2 where it says "t".

h(2) =  20(2) - 5(2)^2 = (40) - 5(4) = 40 - 20 = 20 meters.

Hope this helps!

Answer:

pen

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Try each ordered pair in the equation. Each ordered pair is of the form (x, y). Replace x and y in the equation by values of x and y, respectively, in each ordered pair. Whichever ordered pair makes the equation a true statement is the answer.

For example:

Try (2, 3):

2x + 3y = 10

2(2) + 3(3) = 10

4 + 9 = 10

13 = 10

Since 13 = 10 is a false statement, (2, 3) is not a solution.

Try (2, 2):

2x + 3y = 10

2(2) + 3(2) = 10

4 + 6 = 10

10 = 10

Since 10 = 10 is a true statement, (2, 2) is a solution.

Answer:

£10386.34

Step-by-step explanation:

The amount in an account for a principal P saved at compound interest for a period of n years at an annual rate of r% is calculated using the formula:

[tex]A(n)=P(1+r)^n[/tex]

In this case:

Principal, P=£9500

r=1.8%=0.018

n=5 years

Therefore:

[tex]A(5)=9500(1+0.018)^5\\=9500(1.018)^5\\=\£10386.34[/tex]

At the end of 5 years, Annie will have £10386.34

Answer:

The answer is y=1x+2

Step-by-step explanation:

Simply count up on both sides. Then take the number of increases between each y value and place it on top of the increase of the x value. Divide. To find the y-intercept, or "b", take the constant of the y and count back until the x is zero. For example, since the chart is consistently going up by 1s on each side, take the first "y" value, 3, and count one back to zero on the x. It is two.

Answer:

y=1x+2

Explanation:

You use the equation y=mx+b.

Here is how I got my answer

step 1: Find the slope by finding the change in y values and x values

  x  y

  1  3

  2 4

  3 5

  4 6

  5 7

X=+1

Y=+1      you do the change of y over the change of x and get 1/1=1

So far in the equation now you have y=1x+b

Step 2:Solve for the b value by substituting the y and x variable with a value from the table

x y              y=1x+b

1 3               3=1(1)+b-->3=1+b-->3-1=b+1-1-->2=b  

2 4              

3 5

4 6

5 7

Step 3: Plug in all the numbers you got into the equation y=mx+b

y=1x+2

Answer:

11°

Step-by-step explanation:

Since (7x + 33°) and 70° are supplementary angles.

Hence,

7x + 33° + 70° = 180°

7x + 103° = 180°

7x = 180° - 103°

7x = 77°

x = 77°/7

x = 11°

Answer:

[tex]\boxed{x=11}[/tex]

Step-by-step explanation:

In order to solve this equation, we need to know that both values add up to make a supplementary angle, or a 180° angle. Therefore, adding the values and setting them equal to 180 will solve for x.

[tex]7x + 33 + 70 = 180[/tex]    Add like terms to simplify the equation.

[tex]7x + 103 = 180[/tex]     Subtract 103 from both sides of the equation.

[tex]7x = 77[/tex]     Divide by 7 on both sides of the equation to isolate the variable.

[tex]\boxed{x=11}[/tex]

Answer:

y = -3x -9

Step-by-step explanation:

slope = 1/3

perpendicular slope = -3

y = mx + b

0 = -3(-3) + b

-9 = b

y = -3x -9

Answer:

y = -3x-9

Step-by-step explanation:

2x - 6y = 12

Solving for y we get

-6y = -2x+12

y = 1/3x -2

The slope is 1/3

Perpendicular lines have slopes that multiply to -1

m * 1/3 = -1

Multiply each side by 3

m * 1/3 * 3 = -1 *3

m = -3

The perpendicular line has a slope of -3

Using the slope intercept form

y = mx+b

y = -3x +b

And the point (-3,0) is substituted into the equation

0 = -3(-3) +b

0 = 9+b

B = -9

y = -3x-9

Step-by-step explanation:

x^2 + y^2 = r^2 --> r =[tex]\sqrt{(-4)^2 + 5^2}[/tex] =[tex]\sqrt{41}[/tex]

cos = x /r = -4 /[tex]\sqrt{41}[/tex]

sin = y /r = 5/[tex]\sqrt{41}[/tex]

tan = sin /cos = -5 /4

Answer:

[tex] IQR =Q_3 -Q_1[/tex]

We have for this case n= 8 values. In order to find the Q1 we can select the first 4 values {33, 38, 45, 56 and the Q1 would be:

[tex] Q_1 = \frac{38+45}{2}= 41.5[/tex]

And for the Q3 we can select the last 4 values 57, 63, 72, 91 and for Q3 we got:

[tex] Q_3= \frac{63+72}{2}= 67.5[/tex]

And then the interquartile range would be:

[tex] IQR =Q_3 -Q_1 = 67.5-41.5 = 26[/tex]

Step-by-step explanation:

For this problem we have the following dataset ordered:

{33, 38, 45, 56, 57, 63, 72, 91}

And we want to find the interquartile range defined as:

[tex] IQR =Q_3 -Q_1[/tex]

We have for this case n= 8 values. In order to find the Q1 we can select the first 4 values {33, 38, 45, 56 and the Q1 would be:

[tex] Q_1 = \frac{38+45}{2}= 41.5[/tex]

And for the Q3 we can select the last 4 values 57, 63, 72, 91 and for Q3 we got:

[tex] Q_3= \frac{63+72}{2}= 67.5[/tex]

And then the interquartile range would be:

[tex] IQR =Q_3 -Q_1 = 67.5-41.5 = 26[/tex]

The correct answer is:

26

I took the test, hope this helps!

Answer:

The equation of the line is

[tex]y = - \frac{1}{2} x + \frac{5}{2} [/tex]

Step-by-step explanation:

Equation of a line is

[tex]y = mx + c[/tex]

Where m is the slope

c is the y intercept

y = 2x + 3

Comparing with the above formula

m is 2

Since the lines are perpendicular the slope of the other line is the negative inverse of the original line .

That's

m = - 1/2

Equation of the line using point (1,2) and slope - 1/2 is

y - 2 = -1/2(x - 1)

y - 2 = -1/2x + 1/2

y = -1/2x + 1/2 + 2

The final answer is

[tex]y = - \frac{1}{2} x + \frac{5}{2} [/tex]

Hope this helps you.

Answer:

6 and 14

Step-by-step explanation:

The numbers are in the ratio 3 : 7 = 3x : 7x (x is a multiplier )

adding 1 to smaller number is 3x + 1 and 7 to the larger is 7x + 7, then

3x + 1 : 7x + 7 = 1 : 3

Expressing the ratio in fractional form

[tex]\frac{3x+1}{7x+7}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )

3(3x + 1) = 7x + 7

9x + 3 = 7x + 7 ( subtract 7x from both sides )

2x + 3 = 7 ( subtract 3 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Thus the numbers are

3x = 3(2) = 6

7x = 7(2) = 14

Answer:

Step-by-step explanation:

The third step's reason is given.  Then you must make <QRP and <SRT congruent because all right angles are congruent.  Then you have two angles in each triangle congruent and can thus prove the triangles congruent by AA.

Answer:

Length of side AB = 10.2m

Step-by-step explanation:

Given:

The given area of triangle ADC = 52m²

Side AD = 12m,

Given angle D = 102°

Then we can calculate the area of triangle ADC using below formula

Area= ½ × a × b × sin(C)

52m² = ½ × 12 × CD × sin102

But sin102= 0.9781

52 = 6 × CD *(0.9781)

CD = 52/(6× 0.9781)

CD = 52/5.8686

Therefore, the length of side CD= 8.86m= 8.9m If we approximate

If we will need to find sides AC by applying Cosine rule as follows

d² = a² + c² -2ad ×(cosD)

d² = 8.9² + 12² - 2*8.9*12× Cos102

Cos102 = -0.2079

d² = 267.61744

d = √267.61744

Therefore, sides AC = 16.4m

We can apply sine rule to ∆ABC as

xsinX = y/sinBY

AB/sin46) = AC/(sin120)

AB/0.7193 = 16.4/(0.866)

AB = (14.2023) ×0.7193

Therefore, side AB = 10.2m

Answer:

Hello!

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6 girls and 2 boys are to be seated in a row, with 4 girls seated btwn the 2 boys.

Now let us number 8 seats, starting from the left as follows:

S1, S2, S3, S4, S5, S6, S7, S8

Now the following cases arise regarding the seating arrangement of the boys -

B1 seated on S1 and B2 seated on S6 ( leaving S 2,3,4 & 5)

Now in the remaining 6 seats, 6 girls can be arranged in 6! ways = 720 ways.

On interchanging B1 and B2′s place, we get 720 more arrangement

Therefore, current total = 1440 ways

2. B1 - S2 and B2 - S7

1440 more arrangements can be formed as in previous case.

3. B1 - S3 and B2 - S8

1440 more arrangements can be formed as in previous case.

Therefore total ways to arrange the seating plan are 1440 × 3 = 4320 ways

Hope This helped you! :D

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