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exis [7]
3 years ago
6

Find the total surface area of this square based pyramid. 10 in 5 in

Mathematics
2 answers:
Nana76 [90]3 years ago
7 0

Answer:

128.08 in^2

Step-by-step explanation:

To find the surface area use the expression a^2 + 2a\sqrt{\frac{a^2}{4} +h^2}

When you plug in 5 for a and 10 for h you will get 128.08

zzz [600]3 years ago
4 0

Answer:

  125 in²

Step-by-step explanation:

Each triangular face has a base of 5 in and a height of 10 in. The area of it is given by the formula ...

  A = (1/2)bh

  A = (1/2)(5 in)(10 in) = 25 in²

The square base has an area given by the formula ...

  A = s² . . . . . where s is the side length

  A = (5 in)² = 25 in²

The total area is the sum of the areas of the 4 faces and the base:

  total area = 4 × (area of 1 face) + (area of base)

  total area = 4 × (25 in²) + 25 in²

  total area = 125 in²

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Use the equation and type the ordered-pairs. y = log 3 x {(1/3, a0), (1, a1), (3, a2), (9, a3), (27, a4), (81, a5)
vagabundo [1.1K]

Answer:

Considering the given equation y = log_{3}x\\

And the ordered pairs in the format (x, y)

I don't know if it is log of base 3 or 10, but I will assume it is 3.

For (\frac{1}{3}, a_{0} )

x=\frac{1}{3}

y=a_{0}

y = log_{3}x\\y = log_{3}(\frac{1}{3} )\\y=-\log _3\left(3\right)\\y=-1

So the ordered pair will be (\frac{1}{3}, -1 )

For (1, a_{1} )

x=1

y=a_{1}

y = log_{3}x\\y = log_{3}1\\y = log_{3}(1)\\Note: \log _a(1)=0\\y = 0

So the ordered pair will be (1, 0 )

For (3, a_{2} )

x=3

y=a_{2}

y = log_{3}x\\y = log_{3}3\\y = 1

So the ordered pair will be (3, 1 )

For (9, a_{3} )

x=9

y=a_{3}

y = log_{3}x\\y = log_{3}9\\y=2\log _3\left(3\right)\\y=2

So the ordered pair will be (9, 2 )

For (27, a_{4} )

x=27

y=a_{4}

y = log_{3}x\\y = log_{3}27\\y=3\log _3\left(3\right)\\y=3

So the ordered pair will be (27, 3 )

For (81, a_{5} )

x=81

y=a_{5}

y = log_{3}x\\y = log_{3}81\\y=4\log _3\left(3\right)\\y=4

So the ordered pair will be (81, 4 )

4 0
3 years ago
A crewman on a fishing boat was injured and needs to be treated in a hospital right away. You are with a Coast Guard station nea
Alborosie

The helicopter has to leave at 1:30 pm to meet the boat after 2 hours at the meeting point.

<h3>What is Speed ?</h3>

Speed is the distance covered by an object in a given amount of time.

It is measured in km/h or m/h.

According to the data in the question

If the boat goes to the station ,

Speed of the boat = 10mph

it will take 400/10 = 40 hours.

The helicopter has 6600 lbs of fuel.

For the 30 minutes to remove the fisherman and the 1 hour more fuel is needed, that will consume

1.5 *1200 = 1800 lbs of fuel.

the helicopter now has

6600-1800

= 4800 lbs of fuel for flying.

This will give it 4 hours of flying time as

4800 lbs/1200 lbs per hour

it can only fly one way for 2 hours at 150 mph

= 300 miles distance from the station.

The boat is at 400 miles

boat needs to reach the meeting point 300 miles away from the station.

which is 100 miles from where it is now

100/10 = 10 hours

the boat will need 10 hours to go to the meeting point.

To meet the boat , which will take 10 hours the helicopter must start flying after 8 hours as it will also take 2 hrs

So 8 hours from 5:30 am will be 1:30 pm

The helicopter has to leave at 1:30 pm to meet the boat after 2 hours at the meeting point.

To know more about Speed

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4 0
1 year ago
Tom purchased a 40lb. bag of dog food. Knowing that there are 16 ounces in a pound, how many ounces of dog food are in the bag?
yan [13]

Answer:

640 Oz

Step-by-step explanation:

1 Lb = 16 Oz

40 Lb • 16 Oz = 640 Oz

hope this helps

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8 0
3 years ago
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