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2 years ago

Whats this answer please ?

Mathematics

1 answer:

bagirrra123 [75]2 years ago

5 0

Answer:

area of rectangle: 48 cm²
area of triangle: 18 cm²
shaded area: 30 cm²

Step-by-step explanation:

The area of a rectangle is given by the product of its length and width.

... A = LW

For your rectangle, the overall area is ...

... A = (12 cm)(4 cm) = 48 cm² . . . . rectangle area

___

The area of a triangle is half the product of its base and height. Your triangle is shown with a base of 9 cm, and its height is the height of the rectangle, 4 cm. The triangle area is ...

... A = (1/2)bh

... A = (1/2)(9 cm)(4 cm) = 18 cm² . . . . triangle area

___

The shaded area of the figure is the difference between the rectangle area and the triangle area. (The triangle is fully included in the rectangle, but is not shaded.) That difference is ...

... shaded area = rectangle area - triangle area

... shaded area = 48 cm² - 18 cm² = 30 cm² . . . . shaded area

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balandron [24]

Answer: (2x + 3) • (x-1)

Step-by-step explanation:

1 Pull out like factors :

4x + 6 = 2 • (2x + 3)

STEP

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(5x - 5) = 5 • (x - 1)

5 0

1 year ago

Suppose we want to choose 5 colors, without replacement, from 8 distinct colors.1. If the order is relevant, how many can be don

Charra [1.4K]

(1) From the information given, if we want to choose 5 colors from 8 distinct colors and the order in which the selection is made is relevant, then what we have is a permutation.

The formula is given as;

$nP_r=\frac{n!}{(n-r)!}$

This formula means we need to select/arrange r items out of a total of n items and the anwer derived would be the total number of arrangements possible.

Therefore, we would have;

$\begin{gathered} nP_r\Rightarrow_8P_5 \\ _8P_5=\frac{8!}{(8-5)!}\Rightarrow\frac{8!}{3!} \\ _8P_5=\frac{8\times7\times6\times\ldots1}{3\times2\times1}\Rightarrow\frac{40320}{6} \\ _8P_5=6720 \end{gathered}$

Therefore, if the order is relevant, this selection can be done in 6,720 ways.

(2) If the order is NOT relevant, then what we need to calculate is a combination and the formula is;

$_nC_r=\frac{n!}{(n-r)!r!}$

The formula can now be applied as follows;

$\begin{gathered} _nC_r\Rightarrow_8C_5 \\ _8C_5=\frac{8!}{(8-5)!\times5!} \\ _8C_5=\frac{8!}{3!\times5!}\Rightarrow\frac{8\times7\times6\times\ldots1}{(3\times2\times1)\times(5\times4\times\ldots1)} \\ _8C_5=\frac{40320}{6\times120} \\ _8C_5=56 \end{gathered}$

If the order is not relevant, then the selection can be done in 56 ways.

3 0

3 months ago

PLSSSS Plsssss help quick

Neporo4naja [7]

Answer:

(x, y) (1,5.5) , (2,5.75) (3,5.83) (4,5.875) (5,5.9)

Step-by-step explanation:

The x values lie on the horizontal line and the y values lie on the vertical line.

In order to find the value of y you must substitute the value of x in the equation given and you must plot you graph using the answers you got which I wrote for you.

NOTE:if there's anything you don't understand let me know.

5 0

2 years ago

Which set of lengths might be used to represent the sides of a right triangle?

UNO [17]

Answer:

Step-by-step explanation:

3 0

2 years ago

Number 10 !! I NEED HELP THANKYOU

Lunna [17]

You have to get from $30 to $21.75
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7 0

2 years ago