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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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Answer please show steps please
erik [133]

Answer:

25 girls

Step-by-step explanation:

Let

x denote number of boys

and

y denote number of girls

According to the statement that total 45 people came,

x+y = 45      => Eqn 1

And total paid amount was 175

So,

5x + 3y = 175    => Eqn 2

For solving, We will use the substitution method

So, from eqn 1

x = 45-y

Putting value of x in eqn 2

5(45-y) +3y = 175

225 - 5y + 3y = 175

-2y+225 = 175

-2y = 175-225

-2y = -50

2y = 50

y = 25

Putting y =25 in eqn 1

x+25 = 45

x = 45 - 25

x = 20

As y= 25

So, 25 girls came to the dance ..

6 0
3 years ago
Write the equation of the line in slope-intercept form that has: slope: 3 point: (0, 2) *
Luda [366]

Answer:y = 3x + 2

Step-by-step explanation: y = mx + b

Where m is the slope and b is the y-intercept.  

8 0
2 years ago
A bicycle lock has a four-digit code. The possible digits, 0 through 9, cannot be repeated. What is the probability that the loc
kozerog [31]
First let's find the number of the elements in the sample space, that is the total number of codes that can be produced.

The first digit is any of {0, 1, 2...,9}, that is 10 possibilities
the second digit is any of the remaining 9, after having picked one. 
and so on...

so in total there are 10*9*8*7 = 5040 codes.

a. What is the probability that the lock code will begin with 5?

Lets fix the first number as 5. Then there are 9 possibilities for the second digit, 8 for the third on and 7 for the last digit.

Thus, there are 1*9*8*7=504 codes which start with 5.

so 

P(first digit is five)=\frac{n(first -digit- is- 5)}{n(all-codes)}= \frac{1*9*8*7 }{10*9*8*7 }= \frac{1}{10}=0.1

b. <span>What is the probability that the lock code will not contain the number 0? 

from the set {0, 1, 2...., } we exclude 0, and we are left with {1, 2, ...9}

from which we can form in total 9*8*7*6 codes which do not contain 0.

P(codes without 0)=n(codes without 0)/n(all codes)=(9*8*7*6)/(10*9*8*7)=6/10=0.6

Answer:

0.1 ; 0.6</span>
4 0
3 years ago
Read 2 more answers
(5.6x - 4) + (16 - 2.1x)<br><br> What is the sum of this expression?
Damm [24]

\huge\text{Hey there!}

\large\textsf{(5.6x - 4) + (16 - 2.1x)}

\large\text{DROP the PARENTHESES}

\large\textsf{5.6x - 4 + 16 - 2.1x}

\large\text{COMBINE the LIKE TERMS}

\large\textsf{5.6x - 2.1x - 4 + 16}

\large\textsf{5.6x - 2.1x = \bf  3.5x}

\large\textsf{-4 + 16 = \bf  12}

\large\textsf{=  \bf 3.5x + 12 }

\boxed{\boxed{\large\text{Answer: \huge \bf 3.5x + 12}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

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3 years ago
Find the surface area of the square pyramid. A) 104 cm2 B) 160 cm2 C) 224 cm2 D) 448 cm2
jeyben [28]
Answer:
B
Step-by-step explanation:

i
8 0
2 years ago
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