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gizmo_the_mogwai [7]
2 years ago
9

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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7

Step-by-step explanation:

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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
liberstina [14]
First, write the rate as a decimal by moving the decimal point two places to the left from the percent.

r = 5% = 0.05

C = p + rp

C = 30.99 + 0.05 * 30.99

C = 30.99 + 1.55

C = 32.54

Answer: The total cost is $32.54
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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

So zeros of the function are -4, -1, 1, 4


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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
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