An experiment involves selecting a numbered chip, some black and some white, from a bag of

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>

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

6 0

1 year ago

Read 2 more answers

jake performed an experiment to find out which type of chocolate melts the fastest, milk chocolate or dark chocolate. He tested

antoniya [11.8K]

Answer:

The correct option is;

After 64 seconds, ABOUT HALF of the brands of milk chocolate ARE LIKELY to melt, and NONE of the brands of dark chocolate ARE LIKELY to melt

Step-by-step explanation:

Here we have for the milk chocolate

Min = 29 s

Lower quartile Q₁ = 44 s

Median = 64 s

Upper quartile Q₂ = 93 s

Max = 129 s

For the dark chocolate

Min = 210 s

Lower quartile Q₁ = 237 s

Median = 259 s

Upper quartile Q₂ = 295 s

Max = 320 s

As seen from the values of the box plot, after the median time of 64 seconds which represents half of the test results of the milk chocolate about half of the brands of milk chocolate are likely to melt, while the dark brands only start to melt after 210 seconds.

Therefore the correct option is

After 64 seconds, ABOUT HALF of the brands of milk chocolate ARE LIKELY to melt, and NONE of the brands of dark chocolate ARE LIKELY to melt.

8 0

3 years ago

Which statement explains the relationship of sides BA and B'A' after rectangle BADC has been rotated 90° clockwise about the ori

Leni [432]

Answer:

Numbering the options, we have;

1) Side B'A' has a slope of −1 and is perpendicular to side BA.

2) Side B'A' has a slope of 1 and is parallel to side BA.

3) Side B'A' has a slope of 1 and is perpendicular to side BA.

4) Side B'A' has a slope of −1 and is parallel to side BA.

The correct option is;

1) Side B'A' has a slope of -1 and is perpendicular to side BA

Step-by-step explanation:

The given coordinates are;

A(3, 5) B(1, 3), C(5, -1) and D(7, 1)

The slope of BA is found as follows;

$Slope \, of BA= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} =\dfrac{3-5}{1-3}= \dfrac{-2}{-2} = 1$

Rotation of a line through 90 degrees gives

(x, y) will be (y, -x)

Therefore, the coordinates of A' = (5, -3)

The coordinates of B' = (3, -1)

Then the slope is given as follows;

$Slope \, of \, B'A' =\dfrac{-1 -(-3)}{3-5}= \dfrac{2}{-2} = -1$

Therefore side B'A' has a slope of -1 and is perpendicular to side BA.

8 0

4 years ago

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

andreev551 [17]

Answer:

yes!! it is a solution

Step-by-step explanation:

plug 3 in for x and 10 in for y

10= 3+7 true

10= 6+4 true

8 0

3 years ago

Read 2 more answers

The school band sold T-shirts to fund a trip to play in a parade. They collected $570, and the band made 34% of that amount. How

mars1129 [50]

Convert 34% to .34

Multiple .34 and 570

That tells you they had 193.80

7 0

3 years ago