Answers
Step-by-step explanation:
14) sin45 = x/6 ---> x = 6sin45 = 4.24
cos45 = y/6 ---> y = 6cos45 = 4.24
15) Use sine law to solve for x, y and z.
[tex] \frac{x}{sin45} = \frac{25 \sqrt{2} }{sin60} \\ x = 25 \sqrt{2} \frac{sin45}{sin60} = 25 \sqrt{2} \frac{ \frac{ \sqrt{2} }{2} }{ \frac{ \sqrt{3} }{2} } \\ = \frac{50}{3} \sqrt{3} [/tex]
[tex]cos60 = \frac{y}{ \frac{50}{3} \sqrt{3} } \\ y = ( \frac{50}{3} \sqrt{3} )cos60 = ( \frac{50}{3} \sqrt{3} ) (\frac{ \sqrt{3} }{2} ) \\ y = 25 [/tex]
[tex]cos45 = \frac{z}{25 \sqrt{2} } \\ z = (25 \sqrt{2} )cos45 = (25 \sqrt{2} )( \frac{ \sqrt{2} }{2} ) \\ = 25[/tex]
Related Questions
The Chemistry Club is experimenting with different mixtures of water with a certain chemical (sodium polyacrylate) to make fake snow.
To make each mixture, the students start with some amount of water, and then add of that amount of the chemical, and then 9 more grams of the chemical. The chemical is expensive, so there can’t be more than a certain number of grams of the chemical in any one mixture.
Answers
Answer:
A
Step-by-step explanation:
In order to drive from your home to the store, there has to be at least one operating route. Once a bridge is closed on a route, that route is no longer operating. The probability that bridge 1 is open is 0.8, bridge 2 is 0.93, bridge 3 is 0.9, bridge 4 is 0.92, and bridge 5 is 0.94. What is the probability you can drive to the store? Answer to 3 decimals.
Answers
Answer:
The probability of driving to the store is 0.969
Step-by-step explanation:
The remaining part of the question is attached
Solution
There are only two possible ways –
a) Route comprising of bridges 123
b) Route comprising of bridge 45
Probability of success while traveling through Route 123 = P(Bridge 1 open) x P(Bridge 2 open) x P(Bridge 3 open)
= 0.9 x 0.92 x 0.91
= 0.75348
P(Route 123 is closed) = 1 - 0.75348 = 0.24652
Probability of success while traveling through Route 45 =
P(Bridge 4 open) x P(Bridge 5 open)
= 0.94 x 0.93
= 0.8742
P(Route 45 is closed) = 1 - 0.8742 = 0.1258
To travel to store, atleast one route from 123 and 45 should be open.
Probability that you can drive to store :
= P(atleast one route from 123 and 45 is open)
= 1 - P(Both routes 123 and 45 are closed)
= 1 - P(123 is closed)*P(45 is closed)
= 1 - 0.24652*0.1258
= 1 - 0.031012216
= 0.968987784
~ 0.969
What is the total of 12 monthly payments of 100.00 including tax
Answers
Answer:
The monthly payments of said financing plan will be $8.33.
Step-by-step explanation:
To determine what is the total of 12 monthly payments of $ 100.00 including tax, the following calculation must be performed:
100/12 = X
8.33 = X
Therefore, the monthly payments of said financing plan will be $8.33.
Can someone help me with this equation
Answers
Answer: 9.45•10^7
Step-by-step explanation:
The 6 students in Mrs. James' class were asked how many minutes It takes them to get to school in the morning. Here is what they answered:
15, 8, 7, 7, 11, 13
Find the mean and median travel times for these students.
If necessary, round your answers to the nearest tenth.
Mean: 1 minutes
x
3
?
Median: minutes
Explanation
Check
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Answers
Answer:
mean = 10.2 minutes
median = 9.5 minutes
Step-by-step explanation:
To find the mean, add up all of the results and then divide by the number of students in the sample. Therefore, the work should look like this: 15+8+7+7+11+13=61 --> 61/6=10.1666667
To find the median, order the results from least to greatest and then notice which number is the middle value. Since there is an even number of students in the sample, you will find that both 8 and 11 are the middle values when you put them all in numerical order (7, 7, 8, 11, 13, 15). Therefore, you must find the average of those two number in order to get the median. (8+11=19 --> 19/2=9.5)
PLEASE HELP ME!!!!! I REALLY NEED HELP!!!!!
Which coordinates represent point E? (3, 7) (4, 8) (7, 3) (8, 4)
Answers
Answer:
Hello! answer: 4, 8
Step-by-step explanation:
Remember x is before y so we go to 4 then up 8 hope that helps!
How can we calculate the shaded area? Choose 2 answers: 1 A 4 1 1 1. + 4 4 4. 1 ) 4x
Answers
Answer:
Sorry But there is no shape for me to look at to give you the answer :( Edit the question or just send me a screen shot of it in discord, mine is Mousycritter#2842
Step-by-step explanation:
**ANSWER CORRECTLY FOR BRAINLIEST**
Answers
Answer:
18 bags
Step-by-step explanation:
The dot plot shows the number of cough drops that were in each bag of cough drops inspected at a factory. How many bags of cough drops were inspected?
Note: Each dot represents one bag. The placement of the dot represents how many drops were in each bag (so there was 1 bag with 28, 3 with 29, etc)
First, list the amount of bags there are with a certain amount of cough drops.
Number of bags with...:
28: 1
29: 3
30: 0
31: 3
32: 5
33: 0
34: 0
35: 3
36: 2
Now, add the number of bags together:
1 + 3 + 4 + 5 + 3 + 2 = 18
18 bags
A horticulturist working for a large plant nursery is conducting experiments on the growth rate of a new shrub. Based on previous research, the horticulturist feels the average weekly growth rate of the new shrub is 3cm per week. A random sample of 45 shrubs has an average growth of 1.50cm per week with a standard deviation of 3cm. Is there overwhelming evidence to support the claim that the growth rate of the new shrub is less than 3cm per week at a 0.050 significance level?
Find the value of the test statistic. Round your answer to three decimal places, if necessary.
Answers
Answer:
Test statistic = - 3.354
We reject H0 and conclude that the growth rate of the new shrub is less than 3cm per week.
Step-by-step explanation:
H0 : μ = 3
H1 : μ < 3
The test statistic = (xbar - μ) / (s/ √n)
Xbar = 1.50
μ = 3
s = 3
n = 45
Test statistic = (1.5 - 3) / (3/ √45)
Test statistic = - 1.5 / 0.4472135
Test statistic = - 3.354
Pvalue, using the Pvalue from Z score calculator :
Pvalue = 0.00039826
α = 0.05
Pvalue < α ; We reject H0 and conclude that the growth rate of the new shrub is less than 3cm per week.
Use the property to complete the statement.
Distributive Property:
If 5(AB+8)=2, then
blank + blank
=2.
Answers
Answer:
5AB + 40 = +2
Step-by-step explanation:
IN FIRST BLANK (5AB)
SECOND BLANK (40)
PLEASE HELP ME. Rhombus ABCD has a diagonal BD¯¯¯¯¯.
m∠ADB=(4x−12)°
m∠CDB=(3x+6)°
What is the m∠ADC ?
Enter your answer in the box
º
Answers
Answer: 120
Step-by-step explanation: took the test and that’s the correct answer
125% of what number is 50?
125% of is 50.
(Type a whole number.)
Answers
Answer:
i thinkkk 40
if not my badd
what is E and F i really need help please no bots
Answers
Answer:
be happy
Step-by-step explanation:
The number p and 2/3 are additive inverses.
Drag and drop 2/3 and p to their correct positions on the number line.
Drag and drop the label “Sum” to the sum of 2/3 and p.
Answers
Answer:
The label “Sum” is located at 0
The label “p” is located between 0 and -1 (-2/3)
The label “2/3” is located between 0 and 1
how do you divide a square in half by connecting two vertices?
Answers
Answer:
diagonally.
Step-by-step explanation:
the vertices are the corners or angles. square has four angles. if you have to divide it in half by connecting 2 vertices, then you would just need to draw a line from one corner, diagonally to another corner. you have 2 halves that are equilateral triangles. think about a grilled cheese sandwich cut in half. make sense?
A classroom board is 48 inches wide and 32 inches tall.
Aba is putting ribbon along the outside edge of the board.
How many inches of ribbon will she need?
32 inches
48 inches
А
160 inches
B
112 inches
с
80 inches
D
65 inches
Answers
Answer is A 160 inches
Find the value of X. What does X=?
Answers
Answer:
60
Step-by-step explanation:
Answer:
x=60[angle of equilateral TRAINGLE]
3. What is the length of AB?
pls help, dont put link pls
Answers
Which of the following tables can be generated from the equation y = 2x + 1?
a: x y
2 1
3 2
4 3
5 4
b: x y
-4 1
-2 -1
0 -3
2 -5
c: x y
1 3
2 5
3 7
4 9
d: x y
0 3
1 5
2 7
3 9
Answers
Answer:
im just trying to get points lol
Step-by-step explanation:
78% btw this is a random number haha
In a children's story, a young girl finds that one bowl of soup is too hot, another is too cold, and a third bowl is just
right. Further study reveals that the temperature of the soup bowl that the young girl declared to be just right was
100°F. A researcher would like to test the hypotheses How=100 versus Hou* 100 where ji = the true mean
temperature of all bowls of soup. A 95% confidence interval based on a random sample of 30 bowls of soup is
(100.9, 102.3). Using this interval, can the researcher reject the null hypothesis?
Yes, the null hypothesis can be rejected at the significance level a = 0.05, because 100 is not contained in the and
95% confidence interval.
Yes, the null hypothesis can be rejected at the significance level a = 0.01, because 100 is not contained in the
95% confidence interval.
No, the null hypothesis cannot be rejected at the significance level a = 0.05, because 100 is not contained in the
95% confidence interval.
No, the null hypothesis cannot be rejected at the significance level a = 0.01, because 100 is not contained in the
95% confidence interval
Answers
Answer:
A, Yes, the null hypothesis can be rejected at the significance level α = 0.05, because 100 is not contained in the 95% confidence interval.
Step-by-step explanation:
im bo.reddddddddddddddddddddddddddddd
plz help me
Answers
From the figure, we can notice that :
⊕ There are 4 striped blocks
⊕ The total number of blocks in the block set : 8
The ratio of striped blocks to total blocks in the block set is :
[tex]\sf{\implies \dfrac{4}{8}}[/tex]
[tex]\sf{\implies \dfrac{1}{2}}[/tex]
[tex]\sf{\implies 1 : 2}[/tex]
Answer : B
help me with dis pls
Answers
Answer:
a. complementary
b. neither
c. supplementary
d. supplementary
e. supplementary x=21
Step-by-step explanation:
CODE: cnsss21
Pls help me no weird answers pls.
Answer choices are:
A.24
B. 80
C.90
D. 56
Answers
Step 1: Subtract 5x from both sides.
3x + 8 − 5x = 5x − 40 − 5x
−2x +8 = −40
Step 2: Subtract 8 from both sides.
−2x + 8 − 8 = −40 − 8
−2x = −48
Step 3: Divide both sides by -2.
−2x − 2 = −48 −2
x = 24
i need help can anyone please help
Answers
Answer:
vertically opposite angle
Step-by-step explanation:
Which equation represents a circle with a center located at (-2,2) and a circumference of 16π
Answers
Which two words are the closest antonyms?
A.) admiring and devoted
B.) adopt and borrow
C.) twig and limb
D.) release and grasp
Answers
Answer:
D-Release and Grasp
Step-by-step explanation:
Antonyms are opposites, and the other answer choices are not antonyms.
Release-allow or enable to escape from confinement
Grasp-seize and hold firmly
Hope this helps :-)
Find x. Round your answer to the nearest integer.
15
37
O A. 8
B. 6
C. 9
D. 12
Answers
The value of x in the given triangle is 12, Option C is correct.
What is trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.
here, we have,
from the given figure, we get,
The given triangle is a right angled triangle.
We need to find the value of x.
We know that cosx is adjacent side by hypotenuse.
Cos 37 = Adjacent side/ Hypotenuse
The value of cos37 degrees is 0.7654
0.7654 = x/15
15×0.7654=x
11.5 =x
12=x
Hence, The value of x in the given triangle is 12, Option C is correct.
To learn more on trigonometry click:
brainly.com/question/25122835
#SPJ7
What is the sum of the measures of the interior angles of this polygon?
A 5-sided figure.
270 degrees
450 degrees
540 degrees
900 degrees
Answers
Answer:
360Θ
Step-by-step explanation:
The question is in le picture below U-U
Answers
Answer:
30%
Also I LOVE THE EMMA PIC!!!!!!!!
Suppose the heights of the members of a population follow a normal distribution. If the mean height of the population is 68 inches and the standard deviation is 4 inches, 68% of the population will have a height within which of the following ranges?
Answers
Answer:
68% of the population will have a height between 64 and 72 inches
Step-by-step explanation:
According to the Empirical Rule, 68% of the population will have a height within the range of 1 standard deviation of the mean. This means that the range of possible heights for 68% of the population is between 68-4(1)=64 inches and 68+4(1)=72 inches