What are the vertical<br> asymptotes of y = cot x for<br> -Зп

Which statements about the diagram are true? Select three

stepan [7]

Answer : The correct options are:

DE + EF > DF

5 < DF < 13

Δ DEF is a scalene triangle.

Step-by-step explanation :

As we know that there are three types of triangle.

(1) Equilateral triangle : It is a triangle in which the three sides and angle are equal.

(2) Isosceles triangle : It is a triangle in which the two sides and two angle are equal.

(3) Scalene triangle : It is a triangle in which the three sides and angle are not equal.

Now we have to determine the length DF.

using Pythagoras theorem:

$(Hypotenus)^2=(Perpendicular)^2+(Base)^2$

$(9)^2=(Perpendicular)^2+(4)^2$

$81=(Perpendicular)^2+16$

$(Perpendicular)^2=81-16$

$(Perpendicular)^2=65$

$Perpendicular=8.06$

The length DF = 8.06 unit

So, we can say that:

DE + EF > DF

Hence, from the given options we conclude that, the correct options are:

DE + EF > DF

5 < DF < 13

Δ DEF is a scalene triangle.

8 0

3 years ago

Read 2 more answers

PLEASE HELP ME NOW!!

puteri [66]

Answer:

$x=4+-2\sqrt{7}$

Step-by-step explanation:

To solve, we need to take square root of both sides first:

$(x-4)^2=28\\\sqrt{(x-4)^2} =+-\sqrt{28} \\x-4=+-\sqrt{28}$

Now we use the property of radical shown below to simplify square root of 28:

Property: $\sqrt{x*y}=\sqrt{x} \sqrt{y}$

Now, we have:

$x-4=+-\sqrt{28}\\x-4=+-\sqrt{4*7}\\x-4=+-\sqrt{4}\sqrt{7}\\x-4=+-2\sqrt{7}$

Now we take 4 to the other side and isolate x:

$x-4=+-2\sqrt{7} \\x=4+-2\sqrt{7}$

first answer choice is right.

4 0

3 years ago

Read 2 more answers

I NEED HELP ASAP<br> QUESTION BELOW

Gekata [30.6K]

Answer:

Circumference ≈ 50.27

Area ≈ 201.06

Step-by-step explanation:

The circumference of a circle is $2\pi r$ while the area of the circle $\pi r^{2}$

Since the diameter is the radius multiplied by 2, the radius of the circle is 8. So substituting 8 for r, the circumference is 2 × $\pi$ × 8, which is approximately 50.27 (rounded to the nearest hundredth) and the area of the circle would be $\pi$ × 8². 8² is 64 so 64 times pi is approximately 201.06 (rounded to the nearest hundredth)