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3 years ago

The area of a trapezium is given by the formula

Mathematics

1 answer:

Alexxx [7]3 years ago

7 0

Answer:

Step-by-step explanation:

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Select the correct answer.

tamaranim1 [39]

Answer:

f(x) = 3x+2

g(x) = 2x - 2

To find (f-g)(x)

(f-g)(x) = f(x) - g(x)

Substitute f(x) to 3x+2 and g(x) to 2x -2

(f-g)(x) = (3x+2) - (2x-2)

Open the brackets

(f-g)(x) = 3x+2-2x+2

Rearrange

(f-g)(x) = 3x-2x+2+2

(f-g)(x) = x + 4

Answer is option A = x + 4

Step-by-step explanation:

3 0

4 years ago

What is the value of k?

seraphim [82]

Answer:

k=2

Step-by-step explanation:

We have got a right triangle LNO with sides = m,4 and 8

By Pythagorean theorem

m^2=4^2 +8^2

Or m^2 = 80 ... i

IN triangle NOM, 4^2 +k^2 = l^2

i.e. 16+k^2 = l^2... i

In triangle LNM, m^2+l^2 = (8+k)^2

Substitute for m^2 as 80,

i.e. 80+l^2 = 64+k^2 +16k ... iii

From i, l^2 = 16+k^2

Substitute in iii

80+16+k^2 = 64+k^2 +16k

16k = 32 or k =2

8 0

3 years ago

03,

Nataly_w [17]

Answer:

x = 5

Step-by-step explanation:

(7x + 16) = 90 - 39

7x + 16 = 51

7x = 51 - 16 = 35

x = 5

6 0

3 years ago

Read 2 more answers

] Monica Geller, head chef at Allesandro's and is looking to update the commercial equipment in her kitchen and bar that will al

liubo4ka [24]

Answer:

The maximum amount that should be spent on the upgrade is $38,298,000.

Step-by-step explanation:

Let the initial purchase be x.

The ROI = 15% of x = 0.15x

At the end of 4 years, salvage value = 10% of x = 0.1x

Current income per day = $16 × 230 = $3680

Expected income per day = $21 × 245 = $5145

Increase in income per day = $5145 - $3680 = $1465

For 4 years (assuming a year is 365 days),

Increase in income = $1465 × 365 × 4 = $2138900

Maintenance and utility cost for 4 years = 4 × $56000 = $224000

At the end of 4 years,

ROI = $2138900 + salvage value = $2138900 + 0.1x - $224000

0.15x = $1914900 + 0.1x

0.05x = $1914900

x = $38298000

5 0

3 years ago

Read 2 more answers

Omar has 2 3/4 cups of dough to make dumplings. If he use 3/16 cup of dough for each dumpling, how many whole dumplings can Omar

andrey2020 [161]

Answer:

Step-by-step explanation:

Omar can make 14 whole dumplings. You change 2 3/4 cups to an improper fraction ( multiply the denominator and add the numerator ) and you get 11/4. Since you need 3/16 cups for one dumpling you have to find the greatest common denominator which is 16. You multiply 4 by 11 to get the numerator and end up with 44/16. Since you need 3/16 for one whole dumping you divide 44 by 3 and get 14.6 repeating. You cannot have a fraction of a dumpling so you round down and get the answer 14.

5 0

3 years ago