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GenaCL600 [577]
3 years ago
7

Calculate size of angle x. I worked out CA=14cm

Mathematics
1 answer:
nikdorinn [45]3 years ago
5 0

Answer:

∠x = 13.43°

Step-by-step explanation:

area ΔABC = 1/2 ( BD x AC) = 1/2 (22 x AC) = 42

22 x AC = 84        AC = 84/22 = 42/11 = 3.82

CD = BD - BC = 22 - 6 = 16

AD² = AC² + CD² = (3.82)² + 16² = 270.59

AD = 16.45

sin ∠x = AC / AD = 3.82 / 16.45 = 0.2322

∠x = 13.43°

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Find the y value for the point that divides the line segment CD into a ratio of 4:1.
PIT_PIT [208]

Answer:

Y = 2

Step-by-step explanation:

For point (x1,y1) and (x2,y2) on coordinate plane if is divided in ratio of m:n.

Then point of division is given by

(n*x1+m*x2)/ m+n,  (n*y1+m*y2)/ m+n

________________________________

Given point

c = (9,6)

d = (5,1)

ratio = 4:1

using the above formula , point of division is

x= (1*9+4*5)/ 4+1                     y=  (1*6+4*1)/ 4+1

x= (9+20)/ 5                             y=  (6+4)/ 5

x= 29/ 5                                    y=  10/ 5 =2

Thus, answer is y = 2

7 0
3 years ago
A theater contains 460 seats and the ticket prices for a recent play were $52 for adults and $26 for children. If the total proc
Vlada [557]

Answer:

The answer to your question is There were sold 166 adult tickets and 294

                                                     children tickets.

Step-by-step explanation:

Data

Total number of seats = 460

cost for adults = a = $52

cost for children = c = $26

Total cost = $16276

Process

1.- Write equations to solve this problem

              a + c = 460                    Equation l

         52a + 26c = 16276             Equation ll

2.- Solve the system of equation by substitution.

-Solve equation l for a

             a = 460 - c

-Substitute a in equation ll

         52(460 - c) + 26c = 16276

-Expand

         23920 - 52c + 26c = 16276

-Simplify

                     -26c = 16276 - 23920

                     -26c = -7644

                          c= -7644/-26

                          c = 294

3.- Find a

                        a = 460 - 294

                        a = 166

8 0
3 years ago
Read 2 more answers
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bagirrra123 [75]

Answer:

I would say

y= 3

4 0
3 years ago
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Check the picture below.

5 0
1 year ago
11. A bag contains 250 pieces of candy. There are 125 grape, 25 cherry, 25 lemon, 50 strawberry. What is the probability of draw
Andrews [41]
1/10 is the probability.

You find this by putting 25/250 and simplifying.
5 0
3 years ago
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