Answers
Answer:
Step-by-step explanation:
By applying sine rule in ΔACD,
cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(30°) = [tex]\frac{CD}{AD}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{z}{24}[/tex]
z = [tex]8\sqrt{3}[/tex]
By applying cosine rule in ΔACD,
sin(30°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(30°) = [tex]\frac{AC}{CD}[/tex]
[tex]\frac{1}{2}=\frac{AC}{24}[/tex]
AC = 12
By applying tangent rule in ΔACB,
tan(45°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
1 = [tex]\frac{AC}{BC}[/tex]
y = 12
By applying sine rule in ΔACB,
sin(45°) = [tex]\frac{BC}{AB}[/tex]
[tex]\frac{1}{\sqrt{2}}=\frac{y}{x}[/tex]
x = y(√2)
x = 12√2
Related Questions
write the equation 2x + 6x + y2 - 8y= 19 in standard form
Answers
Ten times the number of balloons is 120
Answers
Answer:
12 balloons
Step-by-step explanation:
120 divided by 10 = 12
:)
Find x.
please help with this question
Answers
Answer:
11.875
Step-by-step explanation:
Rico complained to his brother that he had to rollover a payday loan seven times before finally saving enough money to pay it off. In the end it cost him $450. What finance charge was Rico paying the payday lender every two weeks if he originally wanted to borrow $250?
Answers
Answer:
He had to pay $28.57 seven times.
Anna said that the product of 78⋅112=7278·112=72.
How can you tell that her answer is wrong?
Answers
Answer:
The easiest way I can think of to show someone who is not very mathematically inclined that the calculation is wrong (other than using a scientific calculator) is this:
Explain that one half contains four eighths - you can visualize this very simply with a pie chart.
Then tell Anna that mathematically speaking this translates to the equation:
1/2 = 4 * 1/8
Now, if ONE half is equal to four times ONE eighths, then SEVEN halves is equal to four times SEVEN eighths - basically, you just multiply both sides by 7:
7/2 = 4 * 7/8
Now, compare this to the equation proposed by Anna:
7/2 = 1½ * 7/8
I guess, at this point it will be easy to convince Anna that 1½ is not 4, and therefore her equation is faulty.
-----
Alternatively, if she's sound with fractions you could also tell her that to get from 7/8 to 7/2 you will need a factor which only affects the denominator as the numerator stay the same. The factor that turns 8 into 2 is 1/4 but since this takes place in the denominator we need the reciprocal to turn 1/8 into 1/2 - and the reciprocal of 1/4 is of course 4. At which point we've arrived at the same place of argumentation as before (which is that 4 ≠ 1½).
Step-by-step explanation:
hope this helps :)
Please help. I will give brainliest to correct answer :)
Answers
?????????????????????
Answers
Answer:
Y= 10
angle D= 76
angle C=40
angle E=64
Step-by-step explanation:
The area of a circle is 3.14 square meters, What is the circle's diameter?
Answers
Answer:
506.128
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST!!!
Answers
Answer:
The answer is 8.304 then 8.92 then 167/20 then 8 3/10. :)
Step-by-step explanation:
Answer:
8 3/10, 8.304, 167/20, 8.92
Step-by-step explanation:
Turn all of them into decimals
8 3/10 = 8.30
8.304
167/20 = 8.350
8.92
let's one two and three have the following relationships <1and <2 are adjacent right angles <1 and <3 are vertical angles what is the measurement of <1 plus the measure of <3 minus the measure of two
Answers
Answer:
180 Vertical angles are opposite angles that share only a vertex. Since ∠3 is adjacent to both ∠1 and ∠2, this means that ∠3 shares a side and vertex with both of these angles.
This means that ∠3 and ∠1 form a straight line; this makes them a linear pair, which makes their sum 180°.
Elaine worked 48 hours last week. Her hourly rate is $9.20. What was her GROSS PAY?
Answers
I hope this helps!
enjoy a meme as well, best of luck to you!
Answer:
48 × 9.20 = 441.60
Step-by-step explanation:
gross wages can be calculated by multiplying the number of hours worked by the employee's hourly wage.
What is 82+(12 3+4)-10
Answers
Answer:
82 + (12 + 3 + 4) -10 = 91
82 + (12 times 3 + 4) -10 = 156
82 + (12 divided by 3 + 4) -10 = 73.71
82 + (12 - (3+4)) -10 = 77
I wasn't sure what the space between the 12 and the 3 + 4 meant so I put the answers to what it could have possibly meant.
f is a trigonometric function of the form f(c) = a cos(bm + c) + d.
Below is the graph of f(2). The function has a maximum point at (T1,9) and a minimum point at
Зп
Find a formula for f(2). Give an exact expression.
Answers
A jar contains 3 blue marbles and 6 red marbles. Suppose you choose a marble at
random and do not replace it. Then you choose a second marble. Find the probability of
both of the marbles you select are red.
Select the correct answer
A: 1/18
B: 5/12
C: 1/3
Answers
Find the probability of having 2,3, or 4
successes in five trials of a binomial
experiment in which the probability of
success is 40%.
Round to the nearest tenth of a
percent.
[ ?
Answers
Answer:
65.28%
Step-by-step explanation:
The computation of the probability is shown below:
Given that
P(2,3, OR 4)
based on the above information
= 5C_2(0.4)^2 × (0.6)^3 + 5C_3(0.4)^3 × (0.6)^3 + 5C_4(0.4)^4 × (0.6)^1
= .3465 + .2304 + .0768
= .6528
= 65.28%
True or False. When flipping a penny 14 times the penny likelihood of landing on heads is 7 times.
Answers
Answer:
True
Step-by-step explanation:
Since a penny has head and tails, each has 1/2 chance to land on heads or tales, so 14*1/2=7, so true.
can you guys help please?
Answers
Answer:
25%
Step-by-step explanation:
There are 3 shaded and there are 12 in all, 3 is 25% of 12
Theoretical probability
P(rolling a 2)
P(rolling a 5)
Answers
Answer:
yes indeed..... (wdm? u never finished the question)
Step-by-step explanation:
Answer:
The theocratical probability of rolling a two is 2/6 or 1/3. The theocratical probability of rolling a five is 5/6.
Step-by-step explanation:
Which career would be a good fit for Navin?
Answers
Answers
histotechnologist career would be a good fit for navin
Answer:
C. Histotechnologist.
Definitely correct. Just took the Edge Unit Test
Step-by-step explanation:
Please Show your work.
Answers
Answer:
Equation: y = 2.5x
Answer: 43.75 drawers
Step-by-step explanation:
Equation: 10 - 7.5 = 2.5 and when you subtract 2.5 until the Number of Drawers (x) is 0, then you get 0 for Total Volume (y), so y =2.5x+0 or y = 2.5x
Answer: Substitute 17.5 into x.
y = 2.5(17.5)
y = 43.75 drawers
Find the value of x in each triangle with the given angle measures.
Answers
Answer:
15°
Step-by-step explanation:
Total degrees of a triangle is 180°
Angle 1: ?
Angle 2: 81°
Angle 3: 84°
180°- 81°- 84° = 15°
what is the third step in scientific investigation ?
Answers
Answer:
Cleaning
Step-by-step explanation:
how many solutions d+6+2d=4d+9
Answers
50a+80
GIVING BRAINLEST
Answers
Answer:
180
Step-by-step explanation:
Alana is cooking a turkey. It takes 4 1/2 h to cook. She checks it every 20 min, or 1/3 h.
How many times will she check it before it is cooked?
Answers
Answer:
13 times
Step-by-step explanation:
There are a total of 270 minutes in 4 1/2 hours.
270 ÷ 20 = 13.5
Though we know that 13.5 would not work out.
So she would check on it 13 times.
After the 13th time there will be 10 minutes left to cook the turkey.
The total number of times Alana will check the turkey before it sis done is 13 times.
Rate of work
The rate at which Alana is checking the turkey can be described as the work rate or the rate at which she is doing work.
Number of timesThe total number of times at which Alana will check the turkey before it is done is calculated as follows;
[tex]n = \frac{T}{R}[/tex]
where;
T is the total time = 4 1/2 h = (4 x 60) + 30 min = 270 min
R is the rate = 20 min
[tex]n = \frac{270}{20} \\\\n = 13.5 \ times\\\\n \approx 13 \ times[/tex]
There is no half checking, thus, the total number of times Alana will check the turkey before it sis done is 13 times.
Learn more about rate of work here: https://brainly.com/question/11316046
a television regularly cost $180 but is on sale for 40% off there is a 5% sales tax on the sales price how much does the television cost after the discount and sales tax
Answers
Answer:
$102.60
Step-by-step explanation:
i am pretty sure this is correct
Y=-3x^2-18x-28 solve In vertex form show work
Answers
please help !!!
Will this parabola open upward or downward? How can you tell the direction that it opens from looking at the graph?
y = -5x² + 3x - 4
Answers
I know the parabola will open downward because the leading coefficient of the equation, being -5, is negative/less than zero.
Round to the nearest ten to estimate the difference of 789 – 371. Enter your answer in the box.
Answers
Answer:
420
Step-by-step explanation:
789 would round to 790 and 371 would round to 370 so 790 - 370 is 420
Tennis balls: Must rebound approximately 111 cm when dropped from 200 cm. Soccer balls: Must rebound approximately 120 cm when dropped from 200 cm onto a steel plate. Basketballs: Must rebound approximately 53 .5 inches when dropped from 72 inches onto a wooden floor. Squash balls: Must rebound approximately 29 .5 inches when dropped from 100 inches onto a steel plate at 70∘ Which ball listed above is the bounciest
Answers
Answer:
There is no basis for comparison because the effect of the other variables that are not being studied are not minimized
Step-by-step explanation:
The rate at which each type of ball bounce are;
Tennis balls;
The height to which the ball is must rebounds ≈ 111 cm
The height from which the ball is dropped = 200 cm
Surface = Steel plate
Basketballs;
The height to which the ball must rebounds ≈ 5.35 inches
The height from which the ball is dropped = 72 inches
Surface = Wooden floor
Squash balls
The height to which the ball must rebounds ≈ 29.5 inches
The height from which the ball is dropped = 100 inches
Steel plate at 70°
Therefore, given that the experimental are performed with different variables of height from which each type of ball is dropped, the surface to which the ball is dropped, the angle of the surface to which the ball is dropped, there is no controlled variable to provide a basis for comparison