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3 years ago

Calculate the area of trapezium CDEF

Mathematics

1 answer:

nadya68 [22]3 years ago

5 0

Check the picture below.

since we know that ABCF is a rectangle, then AB = FC, and FA = CB, meaning FA = 4 as you see there.

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Solve the system of linear equations by elimination.<br><br> x+4y=1<br> 3x+5y=10

laiz [17]

Answer:

x = 5 , y = -1

Step-by-step explanation:

Solve the following system:

{4 y + x = 1 | (equation 1)

5 y + 3 x = 10 | (equation 2)

Swap equation 1 with equation 2:

{3 x + 5 y = 10 | (equation 1)

x + 4 y = 1 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{3 x + 5 y = 10 | (equation 1)

0 x+(7 y)/3 = -7/3 | (equation 2)

Multiply equation 2 by 3/7:

{3 x + 5 y = 10 | (equation 1)

0 x+y = -1 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{3 x+0 y = 15 | (equation 1)

0 x+y = -1 | (equation 2)

Divide equation 1 by 3:

{x+0 y = 5 | (equation 1)

0 x+y = -1 | (equation 2)

Collect results:

Answer: {x = 5 , y = -1

6 0

3 years ago

Read 2 more answers

The price-to-earning ratio for firms in a given industry is distributed according to normal distribution. In this industry, a fi

dmitriy555 [2]

Answer:

Option a) Has an above average price-to-earning ratio

Step-by-step explanation:

We are given the following in the question:

The price-to-earning ratio for firms in a given industry is distributed according to normal distribution.

For a particular firm the ratio x has a standard normal variable has a value,

z = 1

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

$1 = \dfrac{x - \mu}{\sigma}\\\\\sigma = x - \mu\\x = \mu + \sigma$

Thus, the firm has an above average price-to-earning ratio as the ratio is one standard deviation above the mean.

Option a) Has an above average price-to-earning ratio

7 0

3 years ago

Start at 3 and create a pattern with the rule add 2 what is the 5th rumber in the answer

Maru [420]

Answer:13

Step-by-step explanation:

3,5,7,9,11,13

6 0

3 years ago

HURRY ASAP WILL GIVE BRAINLIEST

patriot [66]

Answer:

w ≤ -2

Step-by-step explanation:

The first point is on -2 and is going down the number line so w is less than -2 but since there is a closed circle, it would be w is less than or equal to -2 or w ≤ -2

4 0

2 years ago

Read 2 more answers

Please help me i’ll give brainliest or whatever its called

kirill [66]

Answer:

Step-by-step explanation:

To solve this, we need to use the Pythagorean theorem to solve this.

The way to solve is by solving for AD by using triangle CAD and then using that result to solve for BD.

3.4² + b² = 6.5²

11.56 + b² = 42.25

42.25 - 11.56 = b²

b = √30.69

b = 5.53985559 or about 5.5

4.9² + b² = 5.5²

24.01 + b² = 30.69

30.69 - 24.01 = 6.68

b = √6.68

b = 2.58456959666 or about 2.6

<h2>EDIT: the other user is incorrect, here's why</h2>

3.4 + 4.5 = 7.9

6.5² + 4.9² = 7.9²

66.26 doesn't equal 62.41

7 0

3 years ago