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nignag [31]
2 years ago
8

This trapezium is drawn on a centimetre grid. Find the area of the trapezium.

Mathematics
1 answer:
sleet_krkn [62]2 years ago
3 0

Answer:

A = 21 cm²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = \frac{1}{2} h (b₁ + b₂ )

where h is the height between bases and b₁, b₂ are the parallel bases

Here h = 3, b₁ = 9, b₂ = 5 , then

A = \frac{1}{2} × 3 × (9 + 5) = 1.5 × 14 = 21 cm²

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(4×⁴+3׳+2ײ-×+1)+(5ײ-2×+3)​
Annette [7]

Answer:

4×⁴+3׳+7ײ-3x+4

Step-by-step explanation:

First remove the parentheses and pair up like terms

4×⁴+3׳+2ײ+5ײ-x-2x+1+3

Then combine the like terms

4×⁴+3׳+7ײ-3x+4

Which is the answer.

3 0
3 years ago
For this equation, tell whether it is always true, sometimes true, or nevertrue.
dybincka [34]

To answer the question we make the sum on the left side of the equation:

\begin{gathered} \frac{1}{2}y+5=\frac{y+10}{2} \\ \frac{y}{2}+5=\frac{y+10}{2} \\ \frac{y}{2}+\frac{10}{2}=\frac{y+10}{2} \\ \frac{y+10}{2}=\frac{y+10}{2} \end{gathered}

Since both sides are exactly the same. this equation is always true.

3 0
1 year ago
If f(x) = 5x, what is f–1(x)?
ch4aika [34]

For this case we have the following function:

f (x) = 5x

We want to find the inverse of the function.

The first thing we should do is rewrite the function:

y = 5x

From here, we clear the value of x.

We have then:

x =\frac{y}{5}

Then, returning the variable changes, we have that the inverse function is:

f ^ {-1} (x) =\frac{x}{5}

Answer:

The inverse function of f (x) is:

f ^ {-1} (x) =\frac{x}{5}

8 0
3 years ago
Read 2 more answers
Solve 2(5x + 6) < x - 15 + 9x.​
ipn [44]

Answer:

Hope that was helpful for you! Good luck.

3 0
3 years ago
I need help in this question
dimulka [17.4K]

Answer:

x = 4

m∠EFH = 21°

m∠EFG = 83°

Step-by-step explanation:

We know that m∠EFH + m∠HFG will be equal to m∠EFG.

Since we know the values of each, we can make the equation:

5x + 1 + 62 = 18x + 11

Let's solve for x by isolating it on one side.

Combine like terms:

5x + 63 = 18x + 11

Subtract 11 from both sides:

5x + 52 = 18x

Subtract 5x from both sides:

52 = 13x

Divide both sides by 13:

x = 4

Now that we know the value of x, we can substitute it inside the formulas for m∠EFH and m∠EFG.

m∠EFH:

5x+1\\\\5(4)+1\\\\20+1\\\\21

m∠EFG:

18x+11\\\\18(4)+11\\\\72+11\\\\83

Hope this helped!

7 0
3 years ago
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