Find the missing side length for x.

Answer:

5

Step-by-step explanation:

( 2 + 4 + 6 + 8) / 4  = 5

Step-by-step explanation:

2+4+6+8=20

numbers of digits=4

average=sum of observation/numbers of observation

average=20/4=5

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Answer:

Part A

y = 8

Part B

We can find BF by either;

a) Through Pythagoras theorem to find the length of a side in a right triangle

b) The known rate of change of the length of the line FC with height

Step-by-step explanation:

Part A

The given parameters are;

FC = 5

We are to find BF

By the triangle proportionality theorem, we have;

FC:BF = EC:AE

From the given draining we have;

C(10, 2), F(7, 6), B(5.5, y), E(4, 2), A(1, 2)

Points A,  E and C are have the same y-coordinate values, therefore, we have;

EC = 10 - 4 = 6

AE = 4 - 1 = 3

Therefore, we have;

5/BF = 6/3 = 2

BF = 5/2 = 2.5

Using the formula for finding the distance between two points, we have;

BF = √((5.5 - 7)² + (y - 6)²)

BF² = 2.5² = (5.5 - 7)² + (y - 6)²

6.25 = 2.25 + (y - 6)²

6.25 - 2.25 = 4 = (y - 6)²

√4 = √(y - 6)² = (y - 6)

±2 = y - 6

y = 6 + 2 = 8, or y = 6 - 2 = 4

Given that from the diagram, y > 6, we have y = 8

Part B

a) To find BF we can use the Pythagoras's theorem given that we know the coordinates of B and F as follows;

BF = √((5.5 - 7)² + (8 - 6)²) = 2.5

b) Given that BF is on the same straight line as FC, BF can be found through the rate of change of the y-values with the length of the line

We can also find BF by using proportion of increase in 'Δy' to the length of the line BFC as follows;

From point C to point F, Δy = 6 - 2 = 4 and the length of the line FC = 5

Therefore, from point B to point F, Δy = 8 - 6 = 2, ∴ BF = 2 × 5/4 = 2.5

Answer:

60º

Step-by-step explanation:

180º-35º-85º=60º

Answer:

$2.58

Step-by-step explanation:

4.45*0.42 = 1.87

4.45 - 1.87 = 2.58

When you multiply things under 0, but still positive, you get the percentage,

for example 0.42 is 42 percent, 0.50 is 50%, and 0.15 is 15%. Which is why you multiply 0.42 by 4.45, you get 1.87.

4.45 minus 1.87 because,

You have 42% of 4.45, but you need to take 42% off.

Answer:

D 150 thats easy multiply or add

3(7d + 4e) = 3 • 7d + 3 • 4e = 21d + 12e

Answer:

27

Step-by-step explanation:

here's your solution

=> a = 3

=> b= 7

=> the given expression is ( 2a + 3b)

=> bu putting value of a and b in equation

=> we get , (3*2 + 7*3)

=> 27

hope it helps

Answer:

6:1

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

The expected number of blue marbles in the representative sample is 10. This is because the ratio of white marbles to blue marbles in the population is 5:6, so for every 5 white marbles there are 6 blue marbles. Since the representative sample contains 2 white marbles, the expected number of blue marbles should be 6 times the number of white marbles, or 6 x 2 = 10.

Answer: 44 matches

Step-by-step explanation:

Let's take the given information

They won 37 matches

1/9th of their matches resulted in a draw

1/9 out of 90 is 9

You can take 90/9 and you will get 9

Now let us add 37+9 and you get 47

Now take 90-47

44 Matches lost

22/45 or 44/90

Answer:

c

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

22123

Step-by-step explanation:

→ Find the multiplier

3% decrease = 0.97

→ Multiply the population by the multiplier which is to the power of years

30000 × 0.97¹⁰ = 22122.7 = 22123

Answer:

√ 178

Step-by-step explanation:

Answer:

there are no solutions

Step-by-step explanation:

x=11.18 is your answer look it once

Answer:

22) 20000000

23) 0.034

24) 0.0000000015

25) 59000000000

26) 0.0048

27) 625000

Step-by-step explanation:

Answer:

dont mind me

Step-by-step explanation:

Answer:

8 sorry if its wrong

Step-by-step explanation:

Answer:

24 ft²

Step-by-step explanation:

find volume for single cube

[tex]96 \div 12 = 8[/tex]

find length of side

[tex] \sqrt[3]{8} = 2[/tex]

find area of single surface

[tex]2 \times 2 = 4[/tex]

surfaces each cube = 6

so the total of surfaces area

[tex]4 \times 6 = 24[/tex]

Answer:

84.5

Step-by-step explanation:

65.50 she will need 84.5 which is 84 dollard and 50 ct

Janet can buy 36 sets of cutlery.

Two or more expressions with an Equal sign is called as Equation.

Given,

Janet has a 65 dollar budget to buy paper goods and plastic cutlery for an impromptu birthday party

the paper goods will cost 37.50

We need to find the difference of 65 dollars and 37.50 to determine the amount left to purchase cutlery

65-37.5

27.5

As by given, each cutlery set costs 0.75.

We need to divide 27.5 by 0.75 to find number of cutlery sets

27.5/0.75=36.6

Hence, Janet can buy 36 sets of cutlery.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

15

Step-by-step explanation:

The sum of angles around a point is added up to 360°.

Accordingly,

4x - 2 + 9x + 6 + 8x - 5 + 46 = 360

Combine like terms.

21x + 45 = 360

Subtract 45 from both sides.

21x = 360 - 45

21x = 315

x = 15

Step-by-step explanation:

[tex]70 \div 5 = 14[/tex]

Answer: z = 1/2

Step-by-step explanation: subtract 6 from both sides to get  2z=1 divide both sides by 2, you get z = 1/2 check by inputting 1/2 for z

2(1/2)+6= 7

1/2 of 2 is 1

1+6=7

it checks out :)

Answer: z= 1/2

explanation:

if 7=2z+6, z would be 1/2, because 2 times 1/2=1. then 6+1 s equal to 7

Answer:

the pot needs now 214 milleters of water

Step-by-step explanation:

The side length of this square is equal to [tex]\frac{4}{7}\;inches[/tex]

Given the following data:

To determine the side length of this square:

In this exercise, you're required to solve for the length of the sides of a square that has an area of  [tex]\frac{16}{49}[/tex] square inches.

Mathematically, the area of a square is calculated by using the formula;

[tex]A=S^2[/tex]

Where;

Substituting the value into the formula, we have;

[tex]\frac{16}{49}=S^2[/tex]

Taking the square root of both sides, we have;

[tex]S=\sqrt{\frac{16}{49}} \\\\S=\frac{4}{7}\;inches[/tex]

Read more on area of a square here: https://brainly.com/question/16758129

Answer:

$5,708.68

Step-by-step explanation:

A= 2000(1+6/100)¹⁸

Answer:

No solution

Step-by-step explanation:

Use substitution

2x+1=2x-1

Subtract 2x on both sides

1= -1

No solution

Step-by-step explanation:

the dimension for the output isn't correct.

when u multiply 2x2 matrix by 2x1 matrix, the output matrix must have dimensions of 2x1

Answer:

A= 16 B= 2

The second part is B