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3 years ago

Tim has an irregularly shaped garden, as shown below. What is the area of his garden (in square feet)?

Mathematics

1 answer:

Grace [21]3 years ago

4 0

Answer is 174 ft2.

Area of triangle: 24 ft2

First, find the horizontal side of the triangle (using pythagorus).
16-10=6
root10^2 - 6^2 = 8 ft

Then work out the area of the triangle.
(8 x 6)/2 = 24 ft2

Secondly, find the area of the rectangle.
10 x 15 = 150 ft2

Then add up the area of the triangle and rectangle.

150+24= 174 ft2

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If f(x)= 5x + 4 and g(x) = 1/2x<br><br> find ,<br> a) fg(5)

Veseljchak [2.6K]

Answer:

f(g(5)) = 16.5

Step-by-step explanation:

To calculate f(g(5)), evaluate g(5) then substitute the value obtained into f(x)

g(5) = $\frac{1}{2}$ × 5 = 2.5 , then

f(2.5) = 5(2.5) + 4 = 12.5 + 4 = 16.5

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3 years ago

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Simplify the following ratios:

jenyasd209 [6]

A) 3:4
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2 years ago

Help please thank you!

Maslowich

the error is that they didnt add the exponets

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3 years ago

The graph shows f(x)and its transformation(x).

andre [41]

Using translation concepts, the equation for function g(x) given in the graph is:

$g(x) = 2^{x + 2}$

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The parent function for this problem is given as follows:

$f(x) = 2^x$

From the graph, function g(x) was shifted 2 units left, hence x -> x + 2 and the definition is:

$g(x) = 2^{x + 2}$

More can be learned about translation concepts at brainly.com/question/28098112

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2 years ago

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Alex17521 [72]

Answer:

Size 50

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You should choose the larger sample size. This is because if you take the mean, it will help to cancel out outliers. For instance, most people exercise half an hour. With sample size of 10, there might be one person who doesn't exercise, thus dragging down the mean. A larger sample size would have a greater ratio of "average" people.

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3 years ago