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3 years ago

Why can't a triangle have more than one obtuse angle?

1 answer:

7 0

A triangle with one angle greater than 90 degrees is an obtuse triangle. There are other names for triangles that are based, at least in part, on their angles. For instance, a right triangle has one right angle, which is 90 degrees. The degrees of the other two angles add up to 90, for a total of 180 degrees.

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Write an equation for a circle with a diameter that has endpoints at (–10, 1) and (–8, 5). Round to the nearest tenth if necessa

satela [25.4K]

The standard form for the equation of a circle is :

(x−h)^2+(y−k)^2=r2 ----------- EQ(1)
 where handk are the x and y coordinates of the center of the circle and r is the radius.
 The center of the circle is the midpoint of the diameter.

So the midpoint of the diameter with endpoints at (−10,1)and(−8,5) is :

((−10+(−8))/2,(1+5)/2)=(−9,3)

So the point (−9,3) is the center of the circle.

Now, use the distance formula to find the radius of the circle:

r^2=(−10−(−9))^2+(1−3)^2=1+4=5

⇒r=√5

Subtituting h=−9, k=3 and r=√5 into EQ(1) gives :

(x+9)^2+(y−3)^2=5

7 0

3 years ago

Determine the x- and y-

rjkz [21]

Answer and working out attached, hope this helps

3 0

3 years ago

Julie and her brother go to Atlanta to ride the SkyView Ferris wheel. It measures 200 feet in diameter.

Law Incorporation [45]

Answer:

Question 1: A)we need to use the CIRCUMFERENCE.

B) Circumference of a Circle = 2 π R

c)The distance traveled in 1 rotation = 628 ft

2(a)AREA of a CIRCLE = π R²

(b)Area the wheel takes up is 31,400 sq ft

Step-by-step explanation:

Question 1:

Diameter = 200 ft

Now,as Diameter = 2 x Radius

So, R = D/2 =200/2 = 100 ft

A) Distance around the wheel = The length of the boundary of the wheel.

So, we need to use the CIRCUMFERENCE.

B) Circumference of a Circle = 2 π R

Here R = Radius and use π = 3.14

C) The distance traveled in 1 rotation = 1 completer length of boundary

Now, Circumference = 2 π R = 2 x (3.14) x (100 ft) = 628 ft

Question 2:

A) Space the Ferris Wheel takes up = Area of the wheel

AREA of a CIRCLE = π R²

B) AREA of a CIRCLE = π R²

= (3.14) (100 ft ) (100 ft) = 31,400 sq ft

So, the area the wheel takes us is 31,400 sq ft

3 0

3 years ago

The picture represents a final step used in...

RUDIKE [14]

I believe it’s constructing angle bisectors

8 0

3 years ago

Is it true that a triangle sometimes has exactly one acute angle?

alex41 [277]

No
if it has 1 acute angle, then the other 2 must be more than 90 each in other words, the other 2 angles must be over 180

all angles add to 180 no more

so no is answer

3 0

3 years ago