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14 days ago

The area of the postcard is 24 square inches. What is the width b of the message (in inches)?

Mathematics

1 answer:

Leona [4.1K]14 days ago

4 0

Area of a rectangle = length x width
For this postcard:
length = 4 in
width = (3+b) in
area = 24 in^2

Substitute into the area formula:
24 = 4 x (3+b)
24 = 12 + 4b
24 - 12 = 4b
12 = 4b
b = 3 in

Therefore:
the length of the postcard = 4 inch
the width of the postcard = b+3 = 3 + 3 = 6 inch

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Answer:

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Step-by-step explanation:

Stated as follows:

The radius of the circular path = r = 18 feet

The distance rolled by the wheel = l = 38 feet

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Now, according to the problem:

∵ the length of an arc at the center corresponds to an angle Ф

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As 180° represents π radians

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Thus, distance rolled by the wheel = 180 °× radius × $\frac{\Theta }{180^{\circ}}$

That is l = r × Ф

So, Ф = $\frac{l}{r}$

Consequently, Ф = $\frac{38 feet}{18 feet}$

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16 days ago

If Sam has 6 different hats and 3 different scarves, how many different combinations could he wear

tester [3916]

18

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6 0

13 days ago

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The steps to derive the quadratic formula are shown below: Step 1 ax2 + bx + c = 0 Step 2 ax2 + bx = − c Step 3 x2 + b over a ti

PIT_PIT [3919]

Answer:

$x + \frac{b}{2a} = \frac{+/ - \sqrt{b^2-4ac} }{2a}$

Step-by-step explanation:

Step 1:

$ax^2+bx+c = 0$

Step 2:

$ax^2+bx = -c$

Step 3:

$\frac{ax^2+bx}{a} = \frac{-c}{a}$

Step 4:

To complete the square, add $\frac{b^2}{4a^2}$ to both sides.

$x^2 + \frac{bx}{a} + \frac{b^2}{4a^2} = \frac{-c}{a} + \frac{b^2}{4a^2}$

Step 5:

$x^2 + \frac{bx}{a} + \frac{b^2}{4a^2} = \frac{-4ac+b^2}{4a^2}$

Step 6:

Taking square roots on both sides.

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1 day ago

Deep Blue, a deep sea fishing company, bought a boat for $250,000. After 9 years, Deep Blue plans to sell it for a scrap value o

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Answer:

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Step-by-step explanation:

The boat's initial value is noted to be $250,000.

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Employing the formula, we calculate:

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8 days ago

An average person in the country needs 2,450 kilocalories / day of food to meet their full nutritional needs. The average number

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Answer:

Area of land = 0.056 hectares

Detailed explanation: Knowing that

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Thus, in one day, for one individual, we have

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Hectare = 1.5568 × 10 -4

The total land area required to provide sufficient kilocalories for a single person for one year in this developing country will be

Calculated hectare × 365.25

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9 days ago