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3 years ago

The diagonal of a square unit is x units. What is the Area of the square in terms of x

Mathematics

2 answers:

ohaa [14]3 years ago

5 0

Area of square = a^2
but
a^2 = d^2 / 2 = x^2 / 2

so area = x^2/2

answer is A. x^2 / 2 or 1/2 (x)^2

Mazyrski [523]3 years ago

5 0

The diagonal of a square is:

d^2=s^2+s^2

d^2=2s^2 we are told that d=x so

x^2=2s^2

s^2=(x^2)/2

And since the area of a square is s^2, the area of this square is:

(x^2)/2

Or as it is shown in your answer choices...

(1/2)x^2 square units (the top answer :P)

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Algebra 1 help! •giving brainliest!

Alexxx [7]

Compound interest:

$A=P\left(1+\dfrac rn\right)^{nt}$

where $P$ is the amount you start with, $r$ is the interest rate, $n$ is the number of times interest is compounded per year, and $t$ is amount of time that passes.

$4272\left(1+\dfrac{0.12}1\right)^{1\times3}=4272\times1.12^3\approx6001.85$

8 0

3 years ago

Use two unit multipliers to convert 600 miles to inches. ( Do not multiply out.)

Sphinxa [80]

Answer:

(600 mi) × (5280 ft/mi) × (12 in/ft)

Step-by-step explanation:

A "unit multiplier" is a multiplier that has a value of 1. That is, the numerator and denominator have the same value. For units conversion problems, the numerator quantity has the units you want, and the denominator quantity has the units you're trying to cancel.

You have units of miles. You know that ...

1 mile = 5280 feet

1 foot = 12 inches

You want to get to units of inches. With these conversion factors, you can do it in two steps (as the problem requests). The first conversion is from miles to feet using the unit multiplier (5280 feet)/(1 mile). This gives you a number of feet.

Then the second conversion is from feet to inches, so you use the one that lets you put inches in the numerator and feet in the denominator:

(12 inches)/(1 foot)

When you multiplie these all out, units of miles and feet cancel, and you're left with inches.

_____

With the above conversion factors, you can write unit mulipliers of either ...

(5280 ft)/(1 mi) . . . to convert to feet

(1 mi)/(5280 ft) . . . to convert to miles.

5 0

3 years ago

There are 6 rotten mangoes and 24 good mangoes in a bag. What fraction of the mangoes is rotten?

dem82 [27]

$\sf \bf {\boxed {\mathbb {Given:}}}$

Total number of rotten mangoes in the bag = 6

Total number of good mangoes in the bag = 24

$\sf \bf {\boxed {\mathbb {To\:find:}}}$

Fraction of the rotten mangoes to the total mangoes.

$\sf \bf {\boxed {\mathbb {Solution:}}}$

$\implies {\blue {\boxed {\boxed {\purple {\sf { \frac{1}{5} }}}}}}$

$\sf \bf {\boxed {\mathbb {Step-by-step\:explanation :}}}$

Total number of mangoes in the bag = Total number of rotten mangoes + Total number of good mangoes

➺ $\:6 + 24$

➺ $\:30$

Now,

Fraction = $\frac{Total \: \: number \: \: of \: \: rotten \: \: mangoes}{Total \: \: number \: \: of \: \: mangoes}$

➺ $\: \frac{6}{30}$

➺ $\: \frac{1}{5}$

Therefore, the fraction of the rotten mangoes to the total mangoes is $\sf\pink{\frac{1}{5}}$ .

$\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}$

6 0

3 years ago

Read 2 more answers

Determine the rate and the unit rate. $279 for 9 tickets. $18 for 6 volleyballs. 4 fouls in 20 minutes. 36 strikeouts in 54 inni

sergejj [24]

The rate is the ratio and the unit rate is the rate when the denominator is 1.

$279 for 9 tickets.

=> rate = $279 / 9 tickets => unit rate = $ 31/ ticket

$18 for 6 volleyballs.

=> rate = $ 18 / 6 volleyballs => unit rate = $ 3 / volleyball

4 fouls in 20 minutes.

=> rate = 4 fouls / 20 minutes => unit rate = 0.2 fouls / minute

36 strikeouts in 54 innings.

=> rate = 36 strikeouts / 54 innings => unit rate = 0.67 strikeouts / inning

4 0

3 years ago

Kaitlyn tony and juan served a total of 71 orders Monday at the school cafeteria. Toney served 9 fewer orders than kaitlin. Juan

morpeh [17]

Answer:

Kaitlin served 20 orders, Juan served 40 orders and Tony served 11 orders on Monday at the school cafeteria.

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Total of orders server at the school cafeteria by Kaitlin, Tony and Juan = 71

Tony served 9 orders fewer than Kaitlin

Juan served 2 times as many orders as Kaitlin

2. How many orders did each one serve?

For answering this question, we should prepare and write down our equation this way:

x = Number of orders served by Kaitlin

2x = Number of order served by Juan ( 2 times as many orders as Kaitlin)

x - 9 = Number of order served by Tony (9 orders fewer than Kaitlin)

x + 2x + x - 9 = 71

4x = 71 + 9

4x = 80

x = 80/4 = 20

x = 20 ⇒ 2x = 40 ⇒ x - 9 = 11

Kaitlin served 20 orders, Juan served 40 orders and Tony served 11 orders on Monday at the school cafeteria.

3 0

3 years ago