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Romashka [77]
3 years ago
9

a concrete company is pouring concrete into a triangular form as the center of a new playground. the foreman measures the triang

le and notices that the incenter and the circumcenter are the same. What type of triangle is being created
Mathematics
1 answer:
Gemiola [76]3 years ago
4 0

Answer:

Equilateral type of Triangle is created.

Step-by-step explanation:

Incenter: It is a point of intersection of angle bisector of three angles of a triangle.

Circumcenter: It is a point of intersection of perpendicular bisector of three sides of a triangle.

For an Equilateral Triangle points incenter and circumcenter must coincide (same). Hence the type is Equilateral Triangle

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Boat A leaves a dock headed due east at 2:00PM traveling at a speed of 9 mi/hr. At the same time, Boat B leaves the same dock tr
netineya [11]

Answer: 17.5t

Step-by-step explanation:

Given

Speed of boat A is v_a=9\ mi/hr

Speed of boat B is v_b=15\ mi/hr

Both are moving perpendicular to each other

Distance traveled by Boat A x_a=9t

Distance traveled by Boat B x_b=15t

Distance between them is given by Pythagoras theorem

\Rightarrow d^2=(x_a)^2+(x_b)^2\\\\\Rightarrow d^2=(9t)^2+(15t)^2\\\\\Rightarrow d=\sqrt{(9t)^2+(15t)^2}\\\\\Rightarrow d=\sqrt{81t^2+225t^2}\\\\\Rightarrow d=\sqrt{306t^2}\\\\\Rightarrow d=17.49t\approx 17.5t\ \text{miles}

Distance between them is 17.5t

7 0
3 years ago
I need help asap please help
enyata [817]

Answer:

c

Step-by-step explanation:

8 0
3 years ago
Factor x2 - 18x + 81. Show your work
tensa zangetsu [6.8K]
To factorise it start with putting the xs in brackets.
(x )(x )
Then you must find 2 numbers which multiply to +81 and sum to -18.
81 is the product of 9×9 or -9×-9.
9+9=+18
-9+-9=-18
So they two numbers must be -9.
So factorised it is (x-9)(x-9) or (x-9)^2
4 0
3 years ago
Read 2 more answers
ABC is a triangle right angled at A and D is a point on BC such that AD Ʇ BC. Show that AD2 = BD x DC. please answer fast URGENT
postnew [5]

Answer:

The answer is below

Step-by-step explanation:

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse side is equal to the sum of the square of the remaining sides. The hypotenuse is the longest side (that is side opposite to the 90° angle).

In right angle triangle ABD:

AB² = AD² + BD²     (1)

In right angle triangle ACD:

AC² = AD² + CD²      (2)

Also:

AC² + AB² = BC²       (3)

But BC = BD + CD

AC² + AB² = (BD + CD)²     (4)

Adding equation 1 and 2 gives:

AB² + AC² = (AD² + BD²) + (AD² + CD²)  

AB² + AC² = 2AD² + BD² + CD²

substituting AC² + AB² = (BD + CD)²:

(BD + CD)² = 2AD² + BD² + CD²

BD² + 2(BD)(CD)+ CD² = 2AD² + BD² + CD²

2AD² = 2(BD)(CD)

AD² = BD * CD

6 0
3 years ago
Which answer has the smallest value?
Mademuasel [1]

Answer:

The smallest value is 2) the opposite of 50 because it is farthest left of the zero (this makes it the smallest)

Step-by-step explanation:

1) = 100

2) = -50

3) = 0

4) = -25

5) = -5

6 0
3 years ago
Read 2 more answers
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