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4 years ago

What is the mean absolute deviation, round if needed. 78,93,84,97,100,77,94,96,93,92,90,89

Mathematics

1 answer:

scoundrel [369]4 years ago

3 0

Answer:

5.54

Step-by-step explanation:

5.54 is the (MAD)

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UkoKoshka [18]

Answer:

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Step-by-step explanation:

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3 years ago

Help please! <br> find the area of the isoceles triangle

DiKsa [7]

Answer:

This is a long answer. I got 82.5

Step-by-step explanation:

Area of isoceles triangle is

$\frac{1}{2} (b)(h)$

where b is the base and h is height.

Let draw a altuide going through Point D that split side FE into 2 equal lines. Let call that point that is equidistant from FE, H.

Since it is a altitude,it forms a right angle. So angle H=90.

Angle H is equidistant from F and E so

FH=11

EH=11.

The height is still unknown.

We can use pythagorean theorem to find side h but we need to know the slanted side or side DF to use the theorem.

Using triangle DFH, we know that angle H is 90 and angle F is 34. So using triangle interior rule,Angle D equal 56.

We know side FH=11
We know Angle D equal 56
We are trying to find side DF
We know angle H equal 90

We can use law of sines to find side DF

$\frac{fh}{ \sin(d) } = \frac{df}{ \sin(h) }$

Plug in the numbers

$\frac{11}{ \sin(56) } = \frac{df}{ \sin(90) }$

sin of 90 =1 so

$\frac{11}{ \sin(56) } = df$

Side df is about 13.3 inches.

Since we know our slanted side is 13.3 we can set up our pythagorean theorem equation,

$(fh) {}^{2} + (dh) {}^{2} = df {}^{2}$

$(11) {}^{2} +( dh) {}^{2} = (13.3) {}^{2}$

$121 + dh {}^{2} = 176.89$

$(dh) {}^{2} = 55.89$

$\sqrt{55.89} = 7.5$

is approximately 7.5 so dh=7.5 approximately.

Now using base times height times 1/2 multiply them out

$\frac{1}{2} (22)(7.5)$

$82.5$

8 0

3 years ago

Gus has a fish tank that holds 47104710 inches^3 3 of water. He is using a cylinder shaped bucket with a radius of 55 inches and

Darya [45]

Answer: 3 times.

Step-by-step explanation:

Here, The Volume of the gas tank = 4710 $in^3$

While, The radius of the cylindrical shaped bucket = 5 in

And, Height of the cylindrical shaped bucket = 20 in

Therefore, The volume of the bucket = $\pi \times r^2\times h$

= 3.14 × 5 × 5 × 20 = 1570

According to the question, cylinder shaped bucket is used to fill the tank.

Thus, The number of times the bucket will be used to fill the tank

= The Volume of the gas tank/ The volume of the bucket = 4710/1570 = 3

Therefore, The bucket will be used three times to fill the tank.

5 0

3 years ago

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Step-by-step explanation:

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2 years ago

Romeo paid $380.75 in car repairs. The sales Tax rate is 7.5% . Which of the following is a responsible estimate for the total R

rusak2 [61]

Answer: $380.75x0.075=28.55625

28.55625+380.75=409.30625

$409.30625~$409.31

Answer: $409.31

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers