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Y_Kistochka [10]
2 years ago
14

In triangle ABC, angle bisectors line AD, line BE, and line CF meet at I. If DI = 3, BD = 4, and BI = 5, then compute the area o

f triangle ABC
Mathematics
1 answer:
Nikitich [7]2 years ago
8 0

The area of triangle ABC is the amount of space on the triangle

The area of the triangle is 54.84 square units

<h3>How to determine the area of triangle ABC</h3>

Start by drawing the triangle (see attachment)

Next, calculate the measure of angle B using the following tangent ratio

\tan(B/2) = \frac 34

This gives

\tan(B/2) = 0.75

Take the arc tan of both sides

B/2 = 36.87

Multiply by 2

B = 73.74

Next, calculate the length of side AD using the following equation

AD = \tan(B) * BD

This gives

AD = \tan(73.74) * 4

AD =13.71

The area of the triangle is then calculated as:

Area = AD * BD

This gives

Area = 13.71 * 4

Area = 54.84

Hence, the area of the triangle is 54.84 square units

Read more about areas at:

brainly.com/question/24487155

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Pam bought a pair of shoes on sale for $22.40. If this was 20%. Off the original price, find the original price of the shoes
Rus_ich [418]

Answer:

26.88

Step-by-step explanation:

20%*22.40=4.48

22.40+4.48=26.88

3 0
1 year ago
One gym charges a $50 sign up fee and $65 per month. Another gun charges a $90 sign up fee and $45 per month. Foe what number of
alina1380 [7]
2 months.
the equations are
65m+50 and 45m+90
you set them equal together
65m+50=45m+90 
and you get 2.
8 0
3 years ago
Read 2 more answers
What are the x and y intercepts of f(x) = x2-x-12/x2+5x+6 and is there a hole? ​
stiv31 [10]

Answer:

There are no holes. The VAs are x=4 & x=-4  the HA is  x=2 the x intercepts are  (-3,0) & (3,0)  and the y intercept is (0,9/8).

Step-by-step explanation:

Given  f ( x ) =2 x ^2 − 18/x^2-16

find all asymptotes, holes and intercepts.

Factor the numerator and denominator.

f ( x ) =2 ( x ^2 − 9 )/( x + 4 ) ( x − 4 )

f ( x ) =2 ( x +3 ) ( x − 3 )/( x + 4 ) ( x − 4 )

A hole exists when the numerator and denominator contain the same factor (a factor "cancels out"). This function has no holes.

To find the vertical asymptote(s) (VA), find the values of  x

which make the denominator equal zero. The function is undefined at these values of  x

because you cannot divide by zero.

Set each factor of the denominator equal to zero and solve.

x + 4 = 0  and x − 4 = 0

x = − 4  and  x = 4

These are the VAs.

To find the horizontal asymptote(HA), compare the degree of the numerator and denominator. If the degrees are the same, the HA is the ratio of the leading coefficients.

For  f ( x) =2 x ^2 − 18/x^2-16

the degree in both numerator and denominator is  2

and the ratio of the leading coefficients is 2/1=1

The HA is  x = 2

The  x  intercept is the value at which the function (or "y") equals zero. If the numerator is zero, the function equals zero.

2 ( x + 3 ) ( x − 3 ) = 0

x + 3 = 0    x − 3 = 0

x = − 3   and  x = − 3

The  x  intercepts are  ( − 3 , 0 )  and  ( 3 , 0 ) .

The  y  intercepts are found by setting  x = 0 .

f ( 0 ) = 2 ( 0 ) ^2 − 18/( 0 )^2 − 16 = 9 /8

The  y  intercept is  ( 0 , 9/ 8 ) .

graph{(2x^2-18)/(x^2-16) [-10.04, 9.96, -3.56, 6.44]}

HOPE THIS HELPS YOU!!!!

        =)

4 0
3 years ago
Shop Rite has jeans on sale for 3/10 off. Save More has jeans on sale for 33% off. Which store has a better deal? Explain.
umka21 [38]

save more has a better deal because when you convert 33% into a fraction out of ten it becomes 3.3/10 and shop right is 3/10 so 3.3 is greater than 3.

5 0
3 years ago
Write 32.5% as a fraction in simplest form
Thepotemich [5.8K]
I'm pretty sure that the answer is 13/40
5 0
3 years ago
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