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2 years ago

How to complete this question?

Mathematics

1 answer:

lesantik [10]2 years ago

3 0

Answer:

f(x) = $-2^{x+1}-1$

Step-by-step explanation:

I. If you see (0, -3) point on the green line

II. Perform x = 0, if y = -3 means the statement is true

= $-2^{0+1} - 1$

= $-2^{1}$ - 1

= -2 - 1

y = -3

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The average house price in London in 2017 was £474902

yulyashka [42]

The percentage change in house prices between 2017 and 2018 is -1.13%.

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Percentage change = [(£469538 - £474902) / £474902] x 100 = -1.13%

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

The area of a squared lawn and rectangular vegetable garden are equal.The perimeter of lawn is 24 m and its side is twice the br

rjkz [21]

Answer:

g=12

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2 years ago

Find the volume of the garden shed

Leno4ka [110]

Answer:

47.3 m³

Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3><u>Volume of a rectangular prism</u></h3>

$\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}$

<h3><u>Volume of a pyramid</u></h3>

<u />

From inspection of the given diagram, the slant height of the pyramid is 3.5 m.

Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

$\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}$

Therefore:

$\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}$

<h3><u>Volume of the garden shed</u></h3>

$\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}$