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2 years ago

Work out the area of a rectangle with base 18mm and perimeter 38mm

Mathematics

1 answer:

frez [133]2 years ago

5 0

Answer:

684 mm squared

Step-by-step explanation:

Very simple. It's 18mm multiplied by 38 mm.

18 mm * 38 mm = 684 mm2

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–3b + –9 = –3<br> what is b

Pavel [41]

plz plz mark brainliest if it helps

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2 years ago

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How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square?

Valentin [98]

<h2>8 unit tiles should be added</h2>

Step-by-step explanation:

Function given is $f(x)=x^{2}-6x+1$ . We wish to add more unit tiles to the function so that it becomes a complete square.

Since the given function is of order 2, the side of the square will be order 1. Let us assume a general order 1 expression $ax+b$ to be the side of the square.

As the function forms the square after adding some $p$ unit tiles, $f(x)+p=(\text{Side of square})^{2}$

$x^{2}-6x+1+p=(ax+b)^{2}=a^{2}x^{2} +2abx+b^{2}$

From comparision, $a^{2}=1; 2ab=-6; b^{2}=1+p\\a=1; b=-3\\(-3)^{2}=p+1\\p=8$

∴ 8 more unit tiles are required to complete the square.

10 0

2 years ago

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zoey made 5 1/2 cups of trail mix for a camping trip. she wants to divide the trail mix into 3/4 cup servings. ten people are go

Andreas93 [3]

A.) Number of 3/4 cup servings in 5 1/2 cups = 5 1/2 / 3/4 = 11/2 / 3/4 = 11/2 x 4/3 = 44/6 = 7 1/3
Therefore, Zoey did not make enough 3/4 cup serving to go round everybody.

b.) For, every one to have a serving, we have 5 1/2 cups which we want to go round ten people, so each person should get 5 1/2 / 10 = 11/2 / 10 = 11/2 x 1/10 = 11/20.
So the serving should be 11/20 cup for every one to get serving.

c.) If she uses the 3/4 cup serving, then she will need 3/4 x 10 = 30/4 = 7 1/2 cups altogether.
Therefore, she will need to make extra 7 1/2 - 5 1/2 = 2 cups of trail mix.

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2 years ago

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The measures of the angles in triangle UVW are shown in the diagram below.

Mamont248 [21]

Answer:

(B) 39°

Step-by-step explanation:

30° + 24° + (3x -9°) = 180°

3x = 180° - 30° - 24° + 9°

3x = 117°|:3

x = 39°

3 0

2 years ago

(gh)^0 I'm very confused can you show me how to solve this

lana [24]

The expression is:

$(9d^{10})^{-2}$

Simplify the expression:

1. Multiply the exponent outside the parenthesis with every exponent inside the parenthesis,

$\begin{gathered} (9d^{10})^{-2}=9^2d^{(-10)\times2} \\ (9d^{10})^{-2}=9^{-2}d^{-20} \end{gathered}$

Since, exponents in negative form are express as fraction with 1 as numerator.

$\begin{gathered} \mleft(9d^{\mleft\{10\mright\}}\mright)^{\mleft\{-2\mright\}}=9^{-2}d^{\mleft\{-20\mright\}} \\ \mleft(9d^{\mleft\{10\mright\}}\mright)^{\mleft\{-2\mright\}}=\frac{1}{9^2}\times d^{\mleft\{-20\mright\}} \\ \mleft(9d^{\mleft\{10\mright\}}\mright)^{\mleft\{-2\mright\}}=\frac{1}{81}^{}d^{\mleft\{-20\mright\}} \end{gathered}$

Answer: 1/81d^(-20)

3 0

9 months ago