The area of a trapezium is 847 cm2. If the ratio of parallel sides is 9:2 and the
distance between them is 14 cm, find the length of parallel sides

Answers

Answer 1

Answer:

Area of trapezium = 1/2 x sum of parallel sides x height

1/2 x (9x + 2x) x 14 = 184

11x x 7 = 184

11x = 184/7

11x = 26.28

x = 26.28/11

x= 2.38


Related Questions

for each ordered pair , determine wether it is a solution to 3x+7y=17 .

Answers

Answer:

no, no, yes, no

Step-by-step explanation:

3x + 7y = 17

1. 3(5) + 7(3) = 17 ---> 15 + 21 = 17 (false)

2. 3(-8) + 7(-2) = 17 ---> -27 + -14 = 17 (false)

3. 3(-6) + 7(5) = 17 ---> -18 + 35 17 (true)

4. 3(8) + 7(-1) = 17 ---> 18 + -7 = 11 (false)

(5, 3) and (-8, -2) are not solutions to the equation. (-6, 5) and (8, -1) are solutions to the equation.

To determine whether each ordered pair is a solution to the equation 3x + 7y = 17, we substitute the given x and y values into the equation and check if it holds true.

Let's evaluate each ordered pair:

(x, y) = (5, 3)

Substitute x = 5 and y = 3 into the equation:

3(5) + 7(3) = 15 + 21 = 36

36 ≠ 17

Therefore, (5, 3) is not a solution to the equation.

(x, y) = (-8, -2)

Substitute x = -8 and y = -2 into the equation:

3(-8) + 7(-2) = -24 - 14 = -38

-38 ≠ 17

Therefore, (-8, -2) is not a solution to the equation.

(x, y) = (-6, 5)

Substitute x = -6 and y = 5 into the equation:

3(-6) + 7(5) = -18 + 35 = 17

17 = 17

Therefore, (-6, 5) is a solution to the equation.

(x, y) = (8, -1)

Substitute x = 8 and y = -1 into the equation:

3(8) + 7(-1) = 24 - 7 = 17

17 = 17

Therefore, (8, -1) is a solution to the equation.

In summary:

(5, 3) and (-8, -2) are not solutions to the equation.

(-6, 5) and (8, -1) are solutions to the equation.

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Step by step explanation please so I can see how to do it

Answers

Answer:

875 units

Step-by-step explanation:

35/5=7 AD and BC =7

25/5=5 the ratio of the to rect are 5

7(5)=35 EH and FG =35

25(35)=875

can you mark me the brainliest please

Solve: -3+ h = 40

HELPPP

Answers

Answer:

answer: c, 43

Step-by-step explanation:

-3+h=40

+3        +3    add 3 to both sides

h=43

Answer:

Its c

Step-by-step explanation:-3 + h = 40 cause 43 -3 is 40

Determine the value for b assuming that the two horizontal lines displayed are parallel.

Answers

Answer:

29

Step-by-step explanation:

The value of b by assuming that the two lines are parallel will be equal to 29°.

What is an angle?

When two lines converge at a point, they produce an angle. The word "angle" refers to the length of the "gap" between these two rays. The symbol is used to denote it.

Radians, a unit of roundness or rotation, and degrees are the 2 most common units used to measure angles. In daily life, angles are present.

As per the given information provided by the given figure,

The angle is corresponding in nature,

So, the equation will be,

3b + 5 = 92

3b = 92 - 5

3b = 87

b = 87/3

b = 29°.

Therefore, the angle b is 29°.

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A dot plot titled Number of classes going from 3 to 7. 3 has 5 dots, 4 has 6 dots, 5 has 5 dots, 6 has 4 dots, 7 has 3 dots.

The dot plot shows the number of classes taken by the students at South High School.

The shape of the data is
Skewed left.
Skewed right.
Symmetrical.
From 3 to 7.
Answer is B





feel free to take the points

Answers

Answer:

Skewed right. btw thx have a nice day!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

the person above me is correct

it is Skewed right.

Step-by-step explanation:

QUESTION 2
se Tools
What is the length of segment BC? (4 points)
ssion Board
y
5-
rades
4
3
2-
С
1-
-4
0
0
-1-
2
3
4
5
B
-2-
-3-
04
O 5
6
7

Answers

5 would be the correct answer

Find the slope and the y intercept of the chart

Answers

[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

[tex]\frac{1 - 4}{0 + 1}[/tex]

[tex]\frac{-3}{1}[/tex]

the slope is -3

y intercept is 1

y = -3x + 1

hope this helped :))

which equation represents the inverse of f(x)=(x+3)^2+5 for x ≤-3

Answers

Answer:

f(x)=(x+3)^2+5

let f(x)=y

y=(x+3)^2+5

interchanging role of x and y

x=(y+3)²+5

x-5=(y+3)²

√(x-3)-3=y

y=√(x-3)-3

:.inverse of f(x)=(x+3)^2+5 is f-¹(x)=√(x-3)-3

Petrov ran 7 miles around a track. Each lap around the track is a distance of 1/4 mile. What is the total distance Petrov ran in feet?

Answers

Answer:

vhjcxvhvhjvjdbkds

Step-by-step explanation:

good day

1/4 mile per lap times 7 laps...

(1/4)(7) = 7/4 = 1 3/4 miles

question 2 on plato geometry 2 70 points
To explore relationships among the sides and angles, move points B and C so that m∠CFB equals 45°, 50°, 60°, and 75°, successively. Measure the values listed in the tables to two decimal places. (It’s acceptable if the radius of the circle changes as you move B and C.)
picture below

Answers

Answer:

m∠CFB   m∠CAB   m∠EAD  m ∠CAB + m∠EAD

45°              19.93°               70.07°                     90°

50°              29.91°              70.09°                    100°

60°              49.92°             70.08°                    120°

75°              79.92°             70.08°                    150°

m∠CFB  BF  CF     DF  EF  BF + DF  CF + EF   BF × DF    CF × EF

45°     2.69 2.74    9.09     8.91    11.78    11.65    24.45     24.41

50°      3.7 3.63   8.07     8.23    11.77    11.86    29.86     29.87

60°      5.35 4.72    6.42     7.28    11.77    12.00    34.35     34.36

75°     7.3   5    4.47     6.52    11.77    11.52    32.63     32.6

Step-by-step explanation:

edmentum

Answer:

PLATO

Step-by-step explanation:


Water goes over a waterfall at a rate of 162 1/2 gallons every 15 minutes. Which would not be a proportional you could use to solve for the gallons of water going over the waterfall in 2 2/3 hours? *more then one answer*

Answers

Answer:

look below

Step-by-step explanation

First, we need to convert 2 2/3 hours to minutes. This would be:

= 2 2/3 × 60 minutes

= 8/3 × 60 minutes

= 160 minutes

Since water goes over a waterfall at a rate of 162 1/2 gallons every 15 minutes. The the gallons of water going over the waterfall in 2 2/3 hours would be:

= (162 1/2 × 2 2/3hours) / 15 minutes

= (162 1/2 × 160) / 15

= 1733 1/3 gallon

Which pair of numbers is relatively prime?
OA) 5 and 75
OB) 12 and 51
O C) 7 and 20
OD) 15 and 21

Answers

the answer is c. 7 and 10. this is because they share no factors other than 1.

Plz help. Will give brainliest

Answers

Answer:

So is there are 10 cats for every 4 dogs,

If there are 5 cats that is half of 10 so half of 4 is 2

Now there are 32 dogs that is 8 times more than 4 so 10 x 4 is 40 so the answers are

Cats    10     5     8

Dogs   4     2     32

Plz give brainiest

Simplify:
13y + (-4) + 7

Answers

Answer:

13y+3

Step-by-step explanation:

cancel out the negative 4

13y+3, I used photomath, I know it is right tho

find the value of X:

Answers

this answer is wrong

Answer:

7

Step-by-step explanation:

the left side is 9+18=27

so the right side is 20+x=27

and 27-20=7

evaluate 16 3/4
nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

Answers

Answer:

16.75

Step-by-step explanation:

16) through: (1, 1) and (2,-4)

Answers

Answer:

y= -5x + 6

Step-by-step explanation:

Answer:

Equation of line in Slope intercept form

[tex]y=-5x+6[/tex]

Equation of line in Point-slope form

[tex]y-1=\frac{-4-1}{2-1} (x-1)[/tex]

Step-by-step explanation:

Equation of line

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]   ----------- (1)

Here

[tex](x_1. y_1)=(1, 1) \ \ \ and \ \ \ (x_2, y_2)=(2, -4)[/tex]

Substituting values in equation (1)

[tex]y-1=\frac{-4-1}{2-1} (x-1)[/tex]

[tex]y-1=-5 (x-1)[/tex]     (This is equation line in point-slope form)

Simplifying it further

[tex]y=-5x+5+1[/tex]

[tex]y=-5x+6[/tex]  (This is equation of line in slope-intercept form)

Help on this math problem pls!

Answers

Answer:

y=5

Step-by-step explanation:

x+3=2x+1

x=2

y=2+3

y=5

I need help please it will be really helpful!

Answers

Answer:

yes sir burrito

Step-by-step explanation:

Evaluate 64 = (15 – 7) x 2 - 9.

Answers

Answer:

No solutions.

Step-by-step explanation:

We need to use PEMDAS to solve this problem, and as the first letter in PEMDAS stands for (parentheses) we should subtract 7 from 15 to get 8.

Secondly, we would multiply 2 by 8 to get 16.

Finally, we subtract 9 from 16 to get 7.

64 ≠ 7, so the answer would be no solutions.

help me for brainlist

Answers

Answer:

1. g. $0.10 per square inch

2. b. $0.08 per square inch

3. f. $10

4. m. $8

5. h. 79 in²

6. j. 113 in²

Step-by-step explanation:

1. A = πr²

  r = diameter ÷ 2 = 10 ÷ 2 = 5

  A = π(5)² = 25π in² ≈ 78.53981

  $8.00/25π = $0.10 per square inch

2. A = πr²

  r = diameter ÷ 2 = 12 ÷ 2 = 6

  A = π(6)² = 36π in² ≈ 113.0973355

  $10.00/36π = 0.088419 = $0.09 per square inch

3. information/answer was provided

4. information/answer was provided

5. A = πr²

  r = diameter ÷ 2 = 10 ÷ 2 = 5

  A = π(5)² = 25π in² ≈ 79 in²

6. A = πr²

  r = diameter ÷ 2 = 12 ÷ 2 = 6

  A = π(6)² = 36π in² ≈ 113 in²

What is the y-intercept of y=4x-7 & 7x+2y=18

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

___ + 142 + 308 = 450

Answers

Answer:

it would be 0 cause 142 and 308 already equal 450

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

450 - (142 + 308) = 0. ) is the answer.

Hope it helps!

Solve for w
-4(2+1) = -24

Answers

Answer:

-12 = -24

Step-by-step explanation:

Answer:

w  = -12

-12 = -24

Step-by-step explanation:

Solve for  w  by simplifying both sides of the equation, then isolating the variable.

A high-definition TV costs $500. If a 6.5% sales tax is added, what is the total cost?

Answers

Answer:

532.5

Step-by-step explanation:

I really hope this answer helps you!!

$500 dollars plus 6.5% tax total costs $532.5

4/5 in decimal form?

Answers

Answer:

0.8 or 0.80

Step-by-step explanation:

4/5 in decimal form is 0.8

What is the solution to log3(x+12) = log3 (5x)?.
X=-8
X=-3
N
X=3
O X= 8

Answers

Answer:

c on edg

Step-by-step explanation:

The value of x from the logarithmic equation is x = 3

What is Logarithm?

The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm

The properties of Logarithm are :

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

log₃ ( x + 12 ) = log₃ ( 5x )

Now , the bases of the logarithm are equal

So , the value of ( x + 12 ) = 5x

On simplifying , we get

x + 12 = 5x

Subtracting x on both sides , we get

4x = 12

Divide by 4 on both sides , we get

x = 3

Therefore , the value of x = 3

Hence , the logarithm equation is solved

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What is the equation of the graph?

Answers

Is the first one 1 A the first one the first one

Solve the system by substitution.
-2x-10y=-2
-4y=x

Answers

maybe xd ad something else please

please guys or girls I really need help for this question im failing math

Answers

It’s proportional it’s equation it y=3.5x

Answer:

Yes it is proportional (Equation: y=3.5x)

Step-by-step explanation:

Notice that there is a constant change in y and a constant change in x. But by how much? Given the last point (13,45.5) we can see that 13-12=1 and 45.5-42=3.5 so that means as x increases by 1, y always increases by 3.5, making the relationship proportional. You can also write the equation y=3.5x to show this

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