Answers
Answer:
[tex]x =\sqrt 5[/tex]
[tex]y = \sqrt{5[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Solve for x
Considering angle 45 degrees, we have:
[tex]\cos(45) = \frac{y}{\sqrt{10}}[/tex] --- cosine formula i.e. adj/hyp
Solve for y
[tex]y = \sqrt{10} * \cos(45)[/tex]
In radical form, we have:
[tex]y = \sqrt{10} * \frac{1}{\sqrt 2}[/tex]
[tex]y = \sqrt{10/2}[/tex]
[tex]y = \sqrt{5[/tex]
To solve for x, we make use of Pythagoras theorem
[tex]x^2 + y^2 = (\sqrt{10})^2[/tex]
[tex]x^2 + y^2 =10[/tex]
Substitute for y
[tex]x^2 + (\sqrt 5)^2 =10[/tex]
[tex]x^2 + 5 =10[/tex]
Collect like terms
[tex]x^2 =10-5[/tex]
[tex]x^2= 5[/tex]
Solve for x
[tex]x =\sqrt 5[/tex]
Related Questions
Help please!!! Don't come and steal my points please, I really need this answered.
Answers
Answer: 4x [tex]\leq[/tex] 36
Step-by-step explanation: Four times the number is no more than ("less than or equal to") 36: 4x ≤ 36 (by dividing both sides by 4, this is equivalent to x ≤ 9 )
Hope this helped!!!!!!!!!! And ps why are there so many people stealing points on here now
State whether f^-1 (x) is a function given the equation
Answers
Answer:
We have that [tex]f(a) = f(b)[/tex] if [tex]a = \pm b[/tex], which does not respect the condition for the existence of an inverse function, which means that [tex]f^{-1}(x)[/tex] does not exist for this function.
Step-by-step explanation:
Existence of an inverse function:
An inverse function will exist if: f(a) = f(b) only if a = b.
In this question:
[tex]f(a) = -\frac{1}{7}\sqrt{16 - a^2}[/tex]
[tex]f(b) = -\frac{1}{7}\sqrt{16 - b^2}[/tex]
[tex]-\frac{1}{7}\sqrt{16 - a^2} =-\frac{1}{7}\sqrt{16 - b^2}[/tex]
[tex]\sqrt{16 - a^2} = \sqrt{16 - b^2}[/tex]
[tex](\sqrt{16 - a^2})^2 = (\sqrt{16 - b^2})^2[/tex]
[tex]16 - a^2 = 16 - b^2[/tex]
[tex]a^2 = b^2[/tex]
[tex]a = \pm b[/tex]
We have that [tex]f(a) = f(b)[/tex] if [tex]a = \pm b[/tex], which does not respect the condition for the existence of an inverse function, which means that [tex]f^{-1}(x)[/tex] does not exist for this function.
select all the expressions that have a value greater than 19 X 12
Answers
Answer:
123
Step-by-step explanation:
Home pregnancy tests, like all medical tests, are not perfectly accurate. Suppose one such test has an accuracy level such that if a woman is pregnant there is a 12% chance that the test will fail to show it. On the other hand, if the woman is not pregnant there is still a 3% chance that the test will incorrectly say that she is. Show all the steps including identification of what formulas/properties you used. Points will be deducted from answers if only the final answer is provided.
a) If Joan is pregnant what is the chance that the test will detect it?
b) Based on other factors, Joan estimates there is an 80% chance that she is pregnant.
Therefore, Joan takes a pregnancy test. What is the probability that the test will indicate that she is pregnant?
c) Joan looks at the test result and it does indicate that she is pregnant. Given this test result, what is the probability that she is pregnant?
d) Pamela has also taken this particular home pregnancy test. Before taking the test, she estimated there was a 75% chance that she
Answers
Answer:just go to the doctor
Step-by-step explanation:
This is the floor of isaac's kitchen. Isaac needs to determine the area of the floor so he can order new tile. Enter the area, in square feet, of Isaac’s kitchen floor.
Answers
Answer:
134
Step-by-step explanation:
first, separate the floor into 3 different rectagles to calculate the area and then add them together.
area of rec=L*B
rec 1: 9.5*7=66.5
rec 2: (10.5-4.5)*(14.5-5-7)=15
rec 3:5*10.5=52.5
Then:
66.5+52.5+15=134
Can someone help me find the answer to this riddle please?
Answers
Answer: Riddle
Step-by-step explanation: The letters that aren't in the second word, but are in the first make riddle. Like I got the r because it wasn't in bead but it was in bread, etc
Answer:
The answer is "Riddle"
Step-by-step explanation:
First letter: R
Second letter: I
Third letter: D
Fourth Letter: D
Fifth Letter: L
Sixth Letter: E
A box holds 12 markers. Nan takes out 6. Then she puts 2 back. Are there enough markers in the box for Fen to take out 10?
Answers
Answer:
Nope
Step-by-step explanation:
No because you can (12 + 6) +2 and get 8. so yea
Can 11yd 15yd and 27yd be measured
Answers
Answer:
yeah but it depends on what your measuring
have a good day :)
Step-by-step explanation:
question in the picture
Answers
Answer:
70 degrees
Step-by-step explanation:
corresponding angle of a triangle
six million four hundred thousand six and six hundredths in standard form.
Answers
Answer:
6,400,006.06
Hope that this helps!
Answer: 6,400,006.06
Step-by-step explanation:
This is the standard form of the number.
Rhombus CDEF is shown below. If the slope
of FC is 5/2, what must be the slope of CD in order for CDEF to be a square?
Answers
Answer:
15
Step-by-step explanation:
trust
The slope of side CD in rhombus CDEF is -2/5. Therefore, option B is the correct answer.
What is a rhombus?A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square.
Given that, the rhombus is CDEF and the slope of FC is 5/2.
Here, sides FC and CD are perpendicular.
The slope of a line perpendicular to given line is m₁=-1/m₂
Slope of CD is -2/5.
Therefore, option B is the correct answer.
Learn more about the rhombus here:
https://brainly.com/question/27870968.
#SPJ2
Leon wants to know whether the students at his middle school use e-mail, telephone, or text messaging to communicate most often.
Which group should Leon survey to get the most accurate results?
O A. the students in his math class
O B. every 5th student entering the school
O c. the boys he hangs out with at lunchtime
D. every 8th student who uses the computer center
Answers
Since Leon wants to know whether the students at his middle school use e-mail, telephone, or text messaging to communicate most often, the appropriate group will be D. every 8th student who uses the computer center.
What is communication?It should be noted that communication simply had to do with the exchange of information.
In this case, Leon wants to know whether the students at his middle school use e-mail, telephone, or text messaging to communicate most often.
In this case, the people who enter the computer center will his him the necessary information that he needs.
Therefore, the correct option is D.
Learn more about communication on:
brainly.com/question/26152499
#SPJ1
What Expression is equivalent to 4 square root of 6 over 3square root of two
Answers
Answer:
4√6/3√2 = 4.62
Step-by-step explanation:
find height of the density curve
Answers
Answer:
0.2 on khan academy
Step-by-step explanation:
Calculate the area of each figure. Which figure has the greatest area?
Three figures. A parallelogram with height 7 centimeters and length 9 centimeters. A triangle with height 6.8 centimeters and base length 10 centimeters . A trapezoid with base lengths of 7 and 9 centimeters and a height of 3 centimeters .
parallelogram
triangle
trapezoid
Answers
Answer:
Triangle = 34
A = ½ (b × h)
Parallelogram = 63
A = b × h
Trapezoid = 24
A= (a+b)/2 x h
The one with the greatest area is Parallelogram (63)
Brainliest? pls
the original price of a book is $15 the book is selling for 25% less because of the slight damage .what is the cost of the damaged book
Answers
Answer:
the cost of the damaged book is 11.25
Step-by-step explanation:
since it is 25% off the 100% cost it is dicounted to 75% of the price
multiply full price by 75% (.75) to get 11.25
2 divided by 1/3 in simpleast form
Answers
Answer:
6
Step-by-step explanation:
When dividing by a fraction flip it over and multiply
2 / (1/3) = 2 * 3/1
2 / (1/3) = 6/1
2 / (1/3) = 6
A spinner with 6 equally sized slices has 2 red slices, 1 blue slice, and 3 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice?
Answers
Answer:
The probability is 2/6, or 1/3 (about 33%)
Step-by-step explanation:
What is the median of the following data values?
108, 102, 43, 100, 22
O A. 80
O B. 95
O C. 100
O D. 75
Answers
Answer:
100
Step-by-step explanation:
You're correct :) good job
54 people in 1 bus, how many buses for 213 people are needed?
Answers
Answer:
4 buses
Step-by-step explanation:
213/54 = 3.9 but you have to round up to 4 since you can't have 9 tenths of a bus
The product of two whole numbers is 360 an their sum is less than 100 what are the possible for the two numbers
Answers
Answer: 36 and 10
Step-by-step explanation:
36 * 10 = 360, 36 + 10 = 46
A different pack has 72 cards.
5/9 are yellow
Work out the number of yellow cards.
Answers
Imagine you wish to determine whether the mean number of hours worked per week by men in a sample differs from the 40-hour standard. Use the information below to calculate the value of the single-sample t statistic.
Range = 60
Min Value = 5
Max value = 65
Mean = 42.31
Variance =100.00
Standard deviation = 10.00
Sum = 1,227
Answers
Answer:
[tex]t = 7.359[/tex]
Step-by-step explanation:
Given
[tex]Range = 60[/tex]
[tex]Min = 5[/tex]
[tex]Max = 65[/tex]
[tex]\bar x = 42.31[/tex]
[tex]\sigma^2 =100.00[/tex]
[tex]\sigma = 10.00[/tex]
[tex]\sum = 1227[/tex]
[tex]n=40[/tex]
Required
The t statistic
This is calculated using:
[tex]t = \frac{\bar x - \mu}{\sigma/\sqrt n}[/tex]
Where
[tex]\mu \to[/tex] Population mean
[tex]\mu = \frac{\sum }{n}[/tex]
[tex]\sum = 1227[/tex] and [tex]n=40[/tex]
[tex]\mu = \frac{1227}{40}[/tex]
[tex]\mu = 30.675[/tex]
So, we have:
[tex]t = \frac{\bar x - \mu}{\sigma/\sqrt n}[/tex]
[tex]t = \frac{42.31 - 30.675}{10/\sqrt{40}}[/tex]
[tex]t = \frac{42.31 - 30.675}{10/6.325}[/tex]
[tex]t = \frac{11.635}{1.581}[/tex]
[tex]t = 7.359[/tex]
please help, the answer below is a option but i need a answer for the question
Answers
Answer:
12 units^2
Step-by-step explanation:
The Quadratio Formula gives which roots for the equation 3x² + 3x = 2 ?
Answers
Step-by-step explanation:
the correct answer is option B
**PLEASE HELP!!*
George is comparing the graphs of two functions f(x)=3^x and g(x)=3x^2+x-1 for different values of x. Which statement best compares the values of the functions as the value of x increases?
A. F(x) will eventually exceed g(x) for all real numbers greater than a certain x-value
B.g(x) will eventually exceed f(x) for all real numbers greater than a certain x-value
C. F(x) is greater than g(x) for all values of x.
D. G(x) is greater than f(x) for all values of x.
Answers
Harry received a package for his birthday. The package weighed 350,000 centigrams. Select the conversions that are equivalent to 350,000 centigrams. Select all that apply.
35 kilograms
3,500 decigrams
350 dekagrams
3,500 grams
PLEASE ANSWER PLEASE
Answers
Given:
The package weighed 350,000 centigrams.
To find:
The conversions that are equivalent to 350,000 centigrams
Solution:
We know that,
1 centigrams (cg) = 0.000001 kilograms (kg)
1 cg = 0.1 decigrams (dg)
1 cg = 0.001 dekagrams (dag)
1 cg = 0.01 grams (g)
Using these conversions, we get
350,000 centigrams = 3.5 kilograms
350,000 centigrams = 35,000 decigrams
350,000 centigrams = 350 dekagrams
350,000 centigrams = 3,500 grams
Therefore the correct options are C and D.
-4x-10=2x+14
solve for x
Answers
Step-by-step explanation:
[tex]x = - 4 \\ [/tex]
hope am right
Give me an example of an event that has a 2/5 chance of occuring.
Answers
Answer:
You have 2 red marbles and 3 green marbles in a bag. What is the probability that a red marble is pulled out of the bag?
The PRIDE club is selling school t-shirts and hoodies during football games. Two t-shirts and 2
hoodies will sell for $76.50. Five t-shirts and 3 hoodies will sell for $140.25. How much does
each shirt sell for?
Answers
Answer:
Cost of each hoodies = $25.5
Cost of each t-shirt = $12.75
Step-by-step explanation:
Given:
Cost of 2 t-shirt and 2 hoodies = $76.50
Cost of 5 t-shirt and 3 hoodies = $140.25
Find:
Cost of each t-shirt
Computation:
Assume;
Cost of each t-shirt = t
Cost of each hoodies = h
So,
2t + 2h = 76.50..........eq1
5t + 3h = 140.25..........eq2
Eq 1 x 2.5
5t + 5h = 191.25.............eq3
Eq3 - Eq2
2h = 51
h = 25.5
Cost of each hoodies = $25.5
2t + 2h = 76.50
2t + 2(25.5) = 76.50
t = 12.75
Cost of each t-shirt = $12.75