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2 years ago

4.) Determine the missing side of a rectangle with an area of 480 cm² and a length of 32 cm. Please show your work.

Mathematics

1 answer:

asambeis [7]2 years ago

8 0

Answer:

w = 15 cm

Step-by-step explanation:

We want to find the width, as the area of a rectangle is length (l) * width (w).

Since we know the area and the length, we have 480 = 32w

Isolating w by dividing both sides by 32 gives us w = 15 cm

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A pair of shoes costs $30.99 and the state sales tax is 5%. Use the formula C = p + rp to find the total cost of the shoes, wher

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3 years ago

Solve x4 – 17x2 + 16 = 0.<br> Let u =<br> Select all of the zeroes of the function. i i

Soloha48 [4]

$Solve \ x^4 - 17x^2 + 16 = 0$

To solve this equation , we need to write it in quadratic form

$ax^2+bx+c=0$

To get the equation in quadratic form we replace x^2 with u

$x^2 = u$

$x^4 - 17x^2 + 16 = 0$ can be written as

$(x^2)^2 - 17x^2 + 16 = 0$ , Replace u for x^2

So equation becomes

$u^2 - 17u + 16 = 0$

Now we factor the left hand side

-16 and -1 are the two factors whose product is +16 and sum is -17

(u-16) (u-1) = 0

u -16 = 0 so u=16

u-1 =0 so u=1

WE assume u = x^2, Now we replace u with x^2

$u = 16 so \ it \ becomes \ x^2 =16$

Now take square root on both sides , x= +4 and x=-4

$u = 1 so \ it \ becomes \ x^2 =1$

Now take square root on both sides , x= +1 and x=-1

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2 years ago

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Three girls cut out decimal models of hundredths. Amber doesn't shade any of her models. Grace qualifies three fifths of a model

Varvara68 [4.7K]

Answer:

$Amber = 0$

$Grace = 0.60$

$Marsha =1.70$

Step-by-step explanation:

Given

<em>Decimal Grid = Hundredths</em>

$Amber = None$

$Grace = \frac{3}{5}th$

$Marsha = 1 + \frac{7}{10}th$

To solve for each:

We have:

For Amber:

$Amber = 0 * 100$

$Amber = 0$

For Grace:

$Grace = \frac{3}{5}th$

$Grace = \frac{3}{5} * 100$

$Grace = \frac{300}{5}$

$Grace = 60$

This means that Grace shaded 60 of the hundredth models.

Decimal shaded is:

$Grace = 60 * \frac{1}{100}$

$Grace =\frac{60}{100}$

$Grace = 0.60$

For Marsha:

$Marsha = 1 + \frac{7}{10}th$

$Marsha = \frac{10 + 7}{10}th$

$Marsha = \frac{17}{10}th$

$Marsha = 1.7th$

Multiply this by 100, to get the number of shaded

$Marsha = 1.7 * 100$

$Marsha = 170$

This means that Marsha shaded 170 of the hundredth models.

Decimal shaded is:

$Marsha = \frac{170}{100}$

$Marsha =1.70$

5 0

3 years ago

4.) Determine the missing side of a rectangle with an area of 480 cm² and a length of 32 cm. Please show your work.​

4.) Determine the missing side of a rectangle with an area of 480 cm² and a length of 32 cm. Please show your work.