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1 year ago

The area of the top of a square table is 269 in2. What are the dimensions of the top?

Mathematics

1 answer:

dem82 [27]1 year ago

4 0

Answer:

$\sqrt{269}$ is ≈ 14.01

Step-by-step explanation:

If the table top is a square, to find the area, you would multiply one side times itself.

If you are given the area, and need to find the sides, you will take the square root of the area to find the side length.

Your question doesn't say to round, but 269 is not a perfect square.

$\sqrt{269}$ is ≈ 14.01

If the area of the base was 169, that is a perfect square. $\sqrt{169}$ = 13

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Find the area of the shaded region. Round to the nearest hundredth when necessary.

dusya [7]

Answer: 423.11 m^2

Step by step explanation:

Area of a circle formula pi*r^2

First solve the area of the big circle

3.14*21^2=1384.74 m^2

Now find the are of the smaller circle

r=21-3.5=17.5
3.14*(17.5)^2=961.63 m^2

Now we can minus the small area off the big area to get the shaded area.

1384.74-961.63=423.11 m^2

So the area of the shaded region is 423.11 m^2

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2 years ago

Denise and Donna want to exchange secrets from across a crowded whispering gallery. Recall that a whispering gallery is a room w

Yuri [45]

Answer:

34 feet

Step-by-step explanation:

From the question, we are told that:

If the room is 30 feet high at the center and 90 feet wide at the floor,

Entire width of the room = 90 feet = 2a

a = 90/2 = 45

Height of the room = b = 30 feet

Foci (c)² = a² - b²

c = √a² - b²

c = √45² - 30²

c = √1125

c = 33.541019662 feet

Approximately to the nearest whole number = 34 feet

Denise and Donna should each stand 34 ft from the outer wall so that they will be positioned at the foci of the ellipse

7 0

3 years ago

A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessi

Elza [17]

Question:

A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessionary ticket holders.

What is the number of seats occupied by concessionary ticket holders?.

Answer:

60 seats

Step-by-step explanation:

Given

Number of seats = 270

Occupied Seats = 5/9

Concessionary ticket holders = 40% of occupied Seats

Required

The number of seats occupied by concessionary ticket holders

First the number of occupied seat has to be calculated.

$Occupied\ Seats = \frac{5}{9} * 270$

$Occupied\ Seats = \frac{1350}{9}$

$Occupied\ Seats = 150$

Next is to determine the number of seats occupied by concessionary ticket holders.

$Number = 40\%\ of\ occupied\ seats$

$Number = 40\%\ of\ 150$

Convert percentage to decimal

$Number = 0.4 * 150$

$Number = 60$

<em>Hence, 60 seats were occupied by concessionary ticket holders.</em>

5 0

2 years ago

Witch Decimal is equal to six-tenths?<br><br> 0.6 0.15 0.2 0.3 0.4

miss Akunina [59]

0.6 matches with six-tenths because if you divide 6 and 10 together you will get 0.6

Hope this helped! :)

~Shadow

6 0

2 years ago

Which expressions are equivalent to 2 to the 11 power

STatiana [176]

$\text{Hey there!}$

$\text{Which expressions are equivalent to}\bf{ \ 2^{11}}?$

$\bf{2^{11} = 2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2}$

$\bf{2\times2=4}\\\bf{2\times2=4}\\\bf{2\times2=4}\\\bf{2\times2=4}\\\bf{2\times2\times2 = 8}\\\bf{4\times4\times4\times4=16\times16=256}\\\bf{256\times8=2,048}\\\\\boxed{\boxed{\bf{Your\ answer: 2,048}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}\\\\\frak{LoveYourselfFirst:)}$

6 0

2 years ago