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3 years ago

What is the area of a trapezoid if the base is 5, 17, 5 and height is 4

Mathematics

2 answers:

Genrish500 [490]3 years ago

8 0

Answer:

44 units squared.

Step-by-step explanation:

The formula for area of a trapezoid is:

$a = \frac{ b^{1} + {b}^{2} }{2} h$

a = missing area

b1 = short base (5)

b2 = long base (17)

h = height (4)

(5 + 17) ÷ 2 = 11

11 × 4 = 44

area = 44

erica [24]3 years ago

7 0

Answer:

5 + 17) ÷ 2 = 11 So you add 5+17 which is 22, you then divide it by 2 which is 11. 11x4= 44 so 44 units squared. Hope this helped!

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1 divided by 7+3 root 2

slega [8]

Answer:

7-3√2/31

Step-by-step explanation:

Rationalise it and you'll get your answer.

3 0

3 years ago

You are preparing a community garden with your youth group to have enough room for the spots for all the people who already sign

Annette [7]

Answer:

92 feet.

Step-by-step explanation:

Given:

The length of the garden needs to be 22 feet longer than the width of the garden.

The perimeter of the fence is a total of 324 feet

Question asked:

What will the length be of garden ?

Solution:

As length of the garden needs to be 22 feet longer than the width,

Let width = $x$

Then, length will be = $x+22$

As here perimeter of the fence is given, we can find length and width of garden by using:

Perimeter of rectangle = $2(length+width)$

$324=2(x+22+x)\\324=2(2x+22)\\324=4x+44\\$

Subtracting both sides by 44

$324-44=4x+44-44\\280=4x\\$

Dividing both sides by 4

$70=x$

Width = $x$ = 70 feet

Then, length will be = $x+22$ = 70 + 22 = 92 feet

Therefore, the length of the garden will be 92 feet.

3 0

3 years ago

The volume of a cube is V=s3 , where s is the length of one edge of the cube. What is the edge length s for each cube?

PolarNik [594]

Answer:

s = $\sqrt[3]{999} }$

Step-by-step explanation:

V = s^3

Plug in the given volume.

999 = s^3

Take the third root of both sides to cancel out the ^3.

$\sqrt[3]{999} }$ = s

4 0

3 years ago

Read 2 more answers

A web site charges $0.99 to download a game and a 12.49 membership fee.write an expression that gives the total cost in dollars

icang [17]

Hello!

To write this equation we will use c to represent the total cost, and g to represent however many games you download.

c=12.49+0.99g

The constant rate is 12.49, that will never increase or change in our equation.

Depending on how many games you download, that will be the rate that affects our total cost.

If you only purchase one game, you only spend $13.48. Where as if you buy 10 games, you spend $22.39.

3 0

3 years ago

Businesses deposit large sums of money into bank accountsImagine an account with $10 million dollars in it.

adoni [48]

again, let's assume daily compounding means 365 days per year.

$~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$10000000\\ r=rate\to 2.12\%\to \frac{2.12}{100}\dotfill &0.0212\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (10000000)(0.0212)(1)\implies \boxed{I=212000}$

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10000000\\ r=rate\to 2.12\%\to \frac{2.12}{100}\dotfill &0.0212\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years\dotfill &1 \end{cases}$

$A=10000000\left(1+\frac{0.0212}{365}\right)^{365\cdot 1}\implies A\approx 10214256.88 \\\\\\ \underset{\textit{earned interest amount}}{10214256.88~~ - ~~10000000 ~~ \approx ~~ \boxed{214256.88}}$

what's their difference? well

$\stackrel{\textit{compounded daily}}{\approx 214256.88}~~ - ~~\stackrel{\textit{simple interest}}{212000}\implies \boxed{2256.88}$

7 0

2 years ago