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4 years ago

What's greater than 3/4 or 1/4

Mathematics

2 answers:

creativ13 [48]4 years ago

5 0

3/4 is greater than 1/4
Hope I understood correctly for your sake

Anna [14]4 years ago

4 0

1 whole

Hope it helps.

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The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its

Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

Shape: Triangle

Represent the height with h and the base with b

$b = 3 + 2h$

$Area = 22$

Required

Find the length of the base

The area of a triangle is calculated as thus;

$Area = \frac{1}{2} * b * h$

Substitute 22 for Area and 3 + 2h for b

The formula becomes

$22 = \frac{1}{2} * (3 + 2h) * h$

Multiply both sides by 2

$2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h$

$44 = (3 + 2h) * h$

Open the bracket

$44 = 3 * h + 2h * h$

$44 = 3h + 2h^2$

Subtract 44 from both sides

$44 - 44 = 3h + 2h^2 - 44$

$0 = 3h + 2h^2 - 44$

Rearrange

$0 = 2h^2 +3h - 44$

$2h^2 +3h - 44 = 0$

At this point, we have a quadratic equation; which is solved as follows:

$2h^2 +3h - 44 = 0$

$2h^2 + 11h - 8h - 44 = 0$

$h(2h + 11) - 4(2h + 11) = 0$

$(h - 4)(2h + 11) = 0$

Split the above

$(h - 4) = 0\ or\ (2h + 11) = 0$

$h - 4 = 0\ or\ 2h + 11 = 0$

Solve the above linear equations separately

$h - 4 = 0$

Add 4 to both sides

$h - 4 + 4 = 0 + 4$

$h = 0 + 4$

$h = 4$ ---- First value of h

$2h + 11 = 0$

Subtract 11 from both sides

$2h + 11 - 11 = 0 - 11$

$2h = 0 - 11$

$2h = -11$

Divide both sides by 2

$\frac{2h}{2} = -\frac{11}{2}$

$h = -\frac{11}{2}$ ------ Second value of h

Since height can be negative, we'll discard $h = -\frac{11}{2}$

Hence, the usable value of height is $h = 4$

Recall that $b = 3 + 2h$

Substitute 4 for h

$b = 3 + 2(4)$

$b = 3 + 8$

$b = 11$

Hence, the length of the base is 11 meters

3 0

4 years ago

Sam is paid time and a half for overtime, if his basic hourly rate is $12.50 and he works 8 hours overtime, how much did he earn

Vesna [10]

It would be $100 if he works for eight hour hours if it wasn’t overtime but since it’s overtime and he works half of the amount it would be 50

5 0

3 years ago

Tammyâ€™s home cost her $184,000. She lives in an area with a lively real estate market, and her home increases in value by 3. 5

garri49 [273]

The profit to be made when she sells the house is $103,800.

The first step is to determine the value of Tammy's house in 13 years. The formula to be used is:

FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years

$184,000 x (1.035)^13 = $287,767.92

Profit = value of the house in 13 years - cost of the house

$287,767.92 - $184,000 = 103,767 = $103,800

To learn more about future value, please check: brainly.com/question/18760477

5 0

3 years ago

Help for 17 points. Easy

Cerrena [4.2K]

The exponential function that represents the table is $y =2\times 2^x$

<h3>What is an exponential function?</h3>

An exponential function is any function that has its constant raised to the power of an argument.

An exponential function is represented as:

$y = ab^x$

Where:

a represents the initial value
b represents the rate

From the table we have the following ordered pair

(x,y) = {(0,2) (1,8)}

So, we have:

$y = ab^x$

$2 = a \times b^0$

$a = 2$

Also, we have:

$y = ab^x$

$8 = 2 \times b^1$

$8 = 2 \times b$

Divide both sides by 2

$b =4$

So, we have:

$y = ab^x$

$y =2\times 2^x$

Hence, the exponential function is:

$y =2\times 2^x$

Read more about exponential functions at:

brainly.com/question/11464095

7 0

3 years ago

Convert the fraction 7 24 into a repeating decimal.

goldenfox [79]

$\dfrac7{24}=\dfrac6{24}+\dfrac1{24}=\dfrac14+\dfrac1{24}$

$\dfrac1{24}=\dfrac1{8\time3}=\dfrac a8+\dfrac b3=\dfrac{3a+8b}{24}$
$\implies3a+8b=1$

We can choose $a=-1$ and $b=\dfrac12$ , so that

$\dfrac1{24}=-\dfrac18+\dfrac16$

Recalling that $\dfrac13=0.333\ldots$ , it follows that $\dfrac16=0.166\ldots$ . So,

$\dfrac1{24}=0.125+0.166\ldots=0.04166\ldots$
$\implies\dfrac7{24}=0.25+0.4166\ldots=0.29166\ldots$

6 0

3 years ago