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3 years ago

Can you help me simplify number 1, it has the options below.

Mathematics

1 answer:

algol [13]3 years ago

4 0

The square root and the squared cancel each other out so it would just be 27 to the first power,which is 27

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What is the area of this trapezoid? Please help me

jenyasd209 [6]

Answer:

192

Step-by-step explanation:

both triangles are 12 in and the square is 168

so 12+12+168= 192in

3 0

3 years ago

Find the number whose arithmetic square root is 0.6

slavikrds [6]

Answer: 0.36

Step-by-step explanation:

6/10 x 6.10= 36/100

5 0

3 years ago

In a certain state, there are currently 5,902,060 acres of farmland. This area is decreasing at a rate of 4.3% every year. Selec

Luba_88 [7]

Answer:

y=5,902,060*(.957)^t

Step-by-step explanation:

Since the original amount would be decreasing and it's an exponential one, hence the "every year", we can determine that it's an exponential decay equation.

The exponential delay equation is y=A*(1-r)^t. The y is the remaining amount, A is the original amount, r is the rate in decimal form, and t is for years. "1-r" is for decreasing rates and "1+r" is for increasing rates.

First thing we need to do is turn the rate, 4.3%, from a percentage to a decimal. You can do this by moving the decimal two places to the right, which gives you 0.043.

Now plug the numbers into the equation.

y=5,902,060*(1-0.043)^t

Simplify what's inside the parenthesis and get your final equation.

y=5,902,060*(.957)^t

3 0

3 years ago

Tara bicycles 15 mph with no wind. Against the wind, she bikes 10 miles in the same time that it takes to bike 16 miles with the

wlad13 [49]

Answer:

3.46 mph

Step-by-step explanation:

Speed of Tara bicycling without wind effect = 15mph

let the speed of wind be x mph

If she cycles against the wind then her speed will be decrease by the amount as the speed of wind

Then,

Speed of Tara bicycling against wind effect = (15-x)mph

distance traveled by Tara against wind = 10 miles

we know that

time = distance by speed

time taken by Tara while traveling against wind = 10/(15-x)

_______________________________________________________

If she cycles with the wind then her speed will be increase by the amount as the speed of wind

Then,

Speed of Tara bicycling with wind effect = (15+x)mph

distance traveled by Tara w wit wind = 16 miles

time taken by Tara while traveling with wind = 16/(15+x)

___________________________________________

it is given that both the time are same

time taken by Tara while traveling with wind = time taken by Tara while traveling against wind

16/(15+x) = 10/(15-x)

=> 16(15-x)=10(15+x)

=> 240 - 16x = 150 +10x

=>240 - 150 = 10x+16x

=> 90 = 26x

=> x = 90/26 = 3.46

Thus, speed of wind is 3.46 mph.

5 0

3 years ago

A painting is covering up some of the tiles on the wall. The tiled wall is shaped like a rectangle . There are 28 square tiles o

Kitty [74]

Answer:

The number of tiles are covered by the painting are 12.

Step-by-step explanation:

Consider the provided information.

The painting is covering up some of the tiles on the wall as shown below:

Here it is given that there are 28 squares tiles on the wall.

Total tiles = Number of tiles covered by the painting - uncovered tiles

28 = Number of tiles covered by the painting - 16

Number of tiles covered by the painting = 28 - 16

Number of tiles covered by the painting = 12

Hence, the number of tiles are covered by the painting are 12.

7 0

3 years ago