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Dominik [7]
2 years ago
6

Here is a central angle that measures 1.5 radians. Select all true statements. Question 1 options: A) The area of the whole circ

le is 1.5 times the area of the slice. B) The radius is 1.5 times longer than the length of the arc defined by the angle. C) The ratio of radius to arc length is 1.5. D) The length of the arc defined by the angle is 1.5 times longer than the radius. E) The ratio of arc length to radius is 1.5. F) The circumference of the whole circle is 1.5 times the length of the arc formed by the angle.
Mathematics
1 answer:
KATRIN_1 [288]2 years ago
8 0

Answer:

  D, E

Step-by-step explanation:

The applicable formula is ...

  s = rθ

so, for θ = 1.5, the arc length is 1.5 times the radius. The true statements are ...

  D) The length of the arc defined by the angle is 1.5 times longer than the radius.

  E) The ratio of arc length to radius is 1.5.

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Select the correct answer
lora16 [44]

Answer:

Data set 3 has the highest IQR, so the correct option is {13,17,12,21, 18,20}

Step-by-step explanation:

The question is:

Which data set has the greatest spread for the middle 50% of its data

We have given the data sets:

{18,13,22, 17, 21, 24}

{17,19,22,26,17,14}

{13,17,12,21, 18,20}

{18,21,16,22,24,15}

To find the greatest spread for the middle we need to find the IQR for all the data sets and check which one is highest.

So,

For the first set: 22-17 = 5

For the second: 22-17 = 5

For the third set = 20-13 = 7

For the fourth set = 22-16 = 6

Since data set 3 has the highest IQR, so the correct option is {13,17,12,21, 18,20}  ....

8 0
2 years ago
Plzzzz helpppp2222. steppss
Ostrovityanka [42]

Answer:

I think its a two step

Step-by-step explanation:

welp try your best good luck

8 0
3 years ago
Read 2 more answers
If F(x) =6x, Find F(4) <br> F(3)=
soldi70 [24.7K]

Answer:

F(4)=24 and F(3)=18

Step-by-step explanation:

Plug the 4 and the 3 in to the x's and multiply them by 6

6 0
3 years ago
In ∆ABC, if sin A = 4/5 and tan A = 4/3 , then what is cos A?
Alexxandr [17]

Answer:

A = 3/5

Step-by-step explanation:

At the outset, the question doesn't give us a figure to refer to nor does it tell us if this is a right angled triangle. However we observe that both sin A and tan A have the numbers 3, 4 and 5. We recognize this to be consistent with  3-4-5 standard right angled triangle.

Hence we can guess that it is probably a right angled triangle, but we should do the following to confirm:

Knowning that for a right angled triangle,

sin A = opposite / hypotenuse = 4/5

tan A = opposite / adjacent = 4/3

From this we can surmise that

Opposite = 4

hypotenuse = 5

adjacent = 3

Assemble the triangle to see if this works (see attached). We can futher verify that 3-4-5 works using the Pythagorean theorem.

Now that we have determined that the triangle is a 3-4-5 right angled triangle,

cos A = adjacent / hypotenuse = 3/5

8 0
3 years ago
Read 2 more answers
What is the volume of a cylinder with base radius 4 and height 5?
Jobisdone [24]

Answer:

251.2 units³ ; 80π units³

Step-by-step explanation:

Volume of a Cylinder is: V=\pi r^2 h

'r' is the radius.

'h' is he height.  

The cylinder has a base radius of 4 units and the height 5 units.

<h3>Using 3.14 for Pi:</h3>

V=3.14*4^2*5\\V=3.14*16*5\\V= 50.24 * 5\\\boxed {V=251.2}

The approximate volume is 251.2 units³.

<h3>In terms of pi:</h3>

V=\pi 4^2*5\\\rightarrow 4^2=16\\V=\pi 16*5\\V=\pi 80\\\boxed {V=80\pi}

The exact volume is 80π units³.

8 0
3 years ago
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