Determine the area of triangle ABC with AC =5cm and height DB =30mm​

Answers

Answer 1
Answer: The answer to the question is 75mm^2 because the formula is half base multiplied by height

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Luisa's restaurant and Bill comes to $75.50, and she leaves a 15% tip. What is Luisa's total restaurant bill?
Jack’s mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left.
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If f(x)= 2x, find f(-3)please help, I'm so confused ;-;

The first term of an infinite geometric sequence is 18, while the third term is 8. There are two possible sequences. Find the sum of each sequence.

Answers

Answer:

Step-by-step explanation:

The sequence is geometric with

a = 18

Third term = 8.

Let the second term be x.

The infinite geometric sequence will be in the form

18,x,8,......

For geometric sequence, the ratio of two consecutive terms are equal. Hence, we have

(x)/(18)=(8)/(x)\n\nx^2=144\nx=\pm12

So, there are two possible sequences

18,-12,8,......

and

18,12,8,......

Thus, the common ratios are

r=(-12)/(18),(12)/(18)\n\nr=(-2)/(3),(2)/(3)

The sum of the infinite geometric forr=(-2)/(3)

S=(a)/(1-r)\n\n(18)/(1-(-2)/(3))\n\nS=(18)/((5)/(3))\n\nS=(54)/(5)

The sum of the infinite geometric forr=(2)/(3)

S=(a)/(1-r)\n\n(18)/(1-(2)/(3))\n\nS=(18)/((1)/(3))\n\nS=54

Hello,
Let'q the ratio
u_(1) =18\n u_(2) =18*q\n u_(3) =18*q^2=8\ ==\ \textgreater \  q^2= (4)/(9) ==\ \textgreater \  q=\pm\  (2)/(3) \n1) if \ q= (2)/(3) \ then \ \sum_(i=0)^(\infty)\ 18* ((2)/(3) )^i= 18*(1)/(1+ (2)/(3) ) = (18*3)/(5)= 10.8\n\n2) if \ q= -(2)/(3) \ then \ \sum_(i=0)^(\infty)\ 18* (-(2)/(3) )^i= 18*(1)/(1- (2)/(3) ) = (18*3)/(1)= 54\n\n

Complete the following statements by writing the missing word (s).16. If two lines intersect, then their intersection is exactly ________________.

17. _____________ line can be drawn through two points.

18. If two planes intersect, then their intersection is ________________.

19. Through any three non-collinear points there exists exactly ______________.

Answers

16. one point, and only one

17. one, and only one

18. a line

19. one and only one plane
16 a point
17 one
18 a line
19 one plane

What is the pattern?6+4= 210
9+2= 711
8+5- 313
5+2= 37
7+6= 113
9+8= 117
10+6= 416
15+3= 1218

Answers

First you need to subtract both numbers and then, add them up. You'll receive e.g. 6-4=2 and 6+4=10, then just type them one after another, which will give you 6+4=210.

Chip drank a cup of coffee with 140 milligramsof caffeine. If the caffeine is eliminated from his
body at a rate of 9.5% per hour, how much
caffeine will be in his body from this cup of
coffee 6 hours from now?

Answers

Answer:

it should be 43 percent left

Step-by-step explanation:

Please Help!!!

What is the value of g(−3) when g(x)=2x−2?

g(−3)= ________

Answers

g(-3) = 2x - 2      Plug in -3 for x
        = 2(-3) - 2   Multiply
        = -6 - 2       Subtract
        = -8

the soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation 5x + 10y = 800, where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?

Answers

5x+10y = 800
replace y by 50:  5x+10(50) = 800
                            5x+500 = 800
                            5x = 800-500
                            5x = 300
                            x = 300/5
                            x = 60
60 small vehicles were washed in total.

proof: 5x+10y = 800
replace x=60 and y=50
       so; 5(60) +10(50) =800
             300 + 500 = 800
                     800 = 800

Answer:

60 in total

Step-by-step explanation:

proof: 5x+10y = 800

replace x=60 and y=50

      so; 5(60) +10(50) =800

            300 + 500 = 800

                    800 = 800