Answers
Answer:
Angle YZX = 19.7 degrees
This is the same as saying angle Z = 19.7 degrees
====================================================
Explanation:
Since there are only three letters, and nothing else, we can refer to "angle YZX" as "angle Z" to shorten things. The middle letter is what determines the vertex of the angle.
With Z as the reference angle, side XY = 7.5 is the opposite side. It's the leg furthest from the reference angle. SIde ZY = 22.3 is the hypotenuse. The hypotenuse is always opposite the 90 degree angle.
We'll use the sine rule since it connects the opposite and hypotenuse
sin(angle) = opposite/hypotenuse
sin(Z) = XY/ZY
sin(Z) = 7.5/22.3
sin(Z) = 0.336323
Z = arcsin(0.336323)
Z = 19.653008983888
Z = 19.7
In this case, rounding to 3 sig figs means rounding to 1 decimal place (the first two digits are part of the whole number while the last digit is the decimal portion).
Make sure your calculator is in degree mode. The notation "arcsin" refers to arcsine which is the same as inverse sine. Your calculator would likely have the button [tex]\sin^{-1}[/tex] to indicate inverse sine.
Answer:
Degrees: 19.7
Radians: 0.343
Step-by-step explanation:
First, let x = angle YZX.
You can solve this using sine (which as a reminder, is opposite over hypotenuse):
sin(x) = 7.5/22.3
x = arcsin(7.5/22.3)
Now you can grab out a calculator and evaluate.
If it's in degrees: 19.7
If it's in radians: 0.343
(Remember to round to 3 significant figures like the problem said)
I hope this helped you.
Related Questions
A 28-story hotel building has 18,000 square feet of space for rooms per floor. The average room is 16 ft x 28 ft. How many rooms do you have available?
Answers
Answer:
1,120 rooms
Step-by-step explanation:
You need to find out how many hotel rooms are on one floor, and then multiply that by 28. So each room is 16ft x 28ft, which comes out to be 448ft^2. Then to find how many of these rooms go onto one floor, you must divide 18,000 by 448. This equals about 40. So 40 rooms per floor, times 28 floors is: 1,120. And that's your answer! Make sure you understand how we got that. If you have any questions I can help! :)
what is the answer to this simultaneous equation
2x+3y=13
4x-y=-2
Answers
-2x+4y=15
2 2/5 x 5/7 in simplest form
Answers
Answer:
1 5/7
Step-by-step explanation:
2 2/5 x 5/7
= 12/5 x 5/7
= 12/7
1 5/7
An animal shelter has a ratio of dogs to cats that's 3:2. If there are 45 animals at the shelter, how many
dogs are there?
A. 15
B. 90
C. 20
D. 45
Answers
Explanation:
what is the slope of the line that goes through the points (-3,8) and (0,23)?
Answers
Answer:
m=5 or the slope is 5
Step-by-step explanation:
This is because you use the expression y2-y1/x2-x1
Kirin is saving money to enter a craft fair with his new jewelry business. The entry fee is $150. He sells bracelets for $4 each and he has saved up $36. so far. What is the least number of bracelets he would need to sell to afford the entry fee?
Answers
Answer:
28.5 equals ab 29 bracelets
Step-by-step explanation:
Answer:
29 bracelets
Step-by-step explanation:
The first thing you (always) need to do is highlight important details. Some things you should highlight are: The entry fee is $150, He makes $4 off of each bracelet, and that he has $36 so far. We know that 4 times 10 is 40. if we add 40+ the 36, we get 76. now we need 74 more dollars, so let's do: 74 divided by 4 = 18.5. since we can't do that, we add one more bracelet to make it 19. This makes sure we get enough money for the fee. All we have to do now is add is together. 10+19= 29 bracelets
9. Tony bought x boxes of cookies to bring to a party. Each box has 28 cookies. He decides
to keep 2 boxes for himself. He brings 84 cookies to the party.
Which equation can be used to find the number of boxes Tony brought to the party?
A. 2x - 28 = 84
B. 28x - 2 = 84
C. 28x – 56 = 84
D. 56 – 28x = 84
Answers
The correct answer is C. 28x – 56 = 84
Explanation:
Writing an equation using a description or situation involves including all the factors mentioned and relating these appropriately through mathematical symbols. In the case presented, the correct equation is 56 – 28x = 84. This is because this equation includes the total of boxes Tony took to the party 84 and this has been correctly included after the symbol =. Also, the total of boxes is equal to the boxes tony bought each with 28 cookies, which can be represented as 28x (x represents the value of boxes that multiplied by 28 leads to the total of cookies) minus the cookies Tony bought (2 boxes each with 28 cookies). This makes the final equation to be 28x – 56 = 84.
A box contains 3 green marbles, 5 blue marbles, and 7 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that the first two marbles selected are not red, and the last marble is red. Round your answer to four decimal places.A box contains 3 green marbles, 5 blue marbles, and 7 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that the first two marbles selected are not red, and the last marble is red. Round your answer to four decimal places.
Answers
Answer:
The probability is [tex]P(K) = \frac{ 28 }{195} [/tex]
Step-by-step explanation:
From the question we are told that
The number of green marbles is [tex]n_g = 3[/tex]
The number of red marbles is [tex]n_b = 5[/tex]
The number of red marbles is [tex]n_r = 7[/tex]
Generally the total number of marbles is mathematically represented as
[tex]n_t = n_r + n_g + n_ b[/tex]
[tex]n_t = 7 + 3 + 5[/tex]
[tex]n_t = 5 [/tex]
Generally total number of marbles that are not red is
[tex]n_k = n_g + n_ b[/tex]
=> [tex]n_k = 3 + 5[/tex]
=> [tex]n_k = 8[/tex]
The probability of the first ball not being red is mathematically represented as
[tex]P(r') = \frac{n_k}{n_t}[/tex]
=> [tex]P(r') = \frac{ 8}{15}[/tex]
The probability of the second ball not being red is mathematically represented as
[tex]P(r'') = \frac{n_k - 1}{n_t -1}[/tex]
=> [tex]P(r'') = \frac{ 8 -1 }{15-1}[/tex] (the subtraction is because the marbles where selected without replacement )
=> [tex]P(r'') = \frac{ 7 }{14}[/tex]
The probability that the first two balls is not red is mathematically represented as
[tex]P(R) = P(r') * P(r'')[/tex]
=> [tex]P(R) = \frac{ 8}{15} * \frac{ 7 }{14}[/tex]
=> [tex]P(R) = \frac{ 8 }{30}[/tex]
The probability of the third ball being red is mathematically represented as
[tex]P(r) = \frac{n_r}{ n_t -2}[/tex] (the subtraction is because the marbles where selected without replacement )
[tex]P(r) = \frac{7}{ 15 -2}[/tex]
=> [tex]P(r) = \frac{7}{ 13}[/tex]
Generally the probability of the first two marble not being red and the third marble being red is mathematically represented as
[tex]P(K) = P(R) * P(r)[/tex]
[tex]P(K) = \frac{ 8 }{30} * \frac{7}{ 13}[/tex]
=> [tex]P(K) = \frac{ 28 }{195} [/tex]
(5x^2)^3+16y divide 4y for x=2andy=3
Answers
Answer:
30 2/3
Step-by-step explanation:
Find the unit rate. 3/8 mile in 3/4 hour
Answers
We are required to find the unit rate, that is, miles per hour
The unit rate is 1/2 miles per hourNumber of miles = 3/8 mileNumber of hours = 3/4 hourTherefore, unit rate = = 3 / 8 ÷ 3/4= 3 / 8 × 4/3= 12/24= 1/2Read more:
https://brainly.com/question/8406966
While vacationing, Rosalie sees a mountain and its reflection on the still water of a lake. She draws the mountain and its reflection as a projection on the coordinate grid, treating the x-axis as the line of reflection. In her drawings, she represents the summit of the mountain using the coordinates (-6,8) .
What are the coordinates of the summit in her projection?
will mark brainlest
Answers
Answer:
I would say (2,-9) is her projection
Answer:
ok bet my niqgqa
Step-by-step explanation:
Which number is divisible by both 5 and 6?
O A) 132,359
OB) 142,645
OC) 164,780
OD) 193,560
Answers
Answer: D/193,560
Step-by-step explanation: 193,560 divided by 5 = 38712
193,560 divided by 6 = 32260
Answer:
D
Step-by-step explanation:
The sum of two numbers is (−12). What two numbers could you have?
Answers
Answer:
you could have something like umm -36 + 30 It also gives the answer as -12 so I guess you could choose any two numbers that add up to -12
Question
Solve the following system of equations.
- x² – 3y² = - 12
–4x² - y² = -37
Provide your answer below:
I
I need the exact answer please. There are 8 sets of answers for this question what are they fill in the question mark. I hope I’ll get my answers quickly. Thank you
(?,?),(?,?),(?,?),(?,?)
Answers
Answer:
(3,1) (3,-1) (-3,1) (-3,-1)
Step-by-step explanation:
write the following numbers in words 560 451 2008
Answers
Answer: five billion six hundred four million five hundred twelve thousand eight
Step-by-step explanation:
Pang dagdag points niyo.... sagutan niyo nalang ng tamang sagot, yung tamang sago i high rate ko......
2×2×4÷5-8+10=?
Answers
Answer:
26/5
Step-by-step explanation:
(2)(2)(4)/5 −8+10
(4)(4)/5−8+10
=16/5−8+10
=−24/5+10
=26/5
Alternate form
5.2
The answer :
26/5
The explanation :
r(x)=2[tex]\sqrt{x}[/tex] s(x)=[tex]\sqrt{x}[/tex]
(rs)(4)
Answers
Answer:
Im not sure
Step-by-step explanation:
but I advise you use a calculator or as an teacher
Please explain how to solve: 35.15 x 3.7
Answers
Answer:
multiply
Step-by-step explanation:
you multiply them together to get the answer. I do not know how else to explain really.
Write 37/3 as a mixed number
Answers
Answer:
12 1/3
Step-by-step explanation:
Answer:
12 1/3
Step-by-step explanation:
1. Divide the numerator by the denominator.
Divide 37 by 3, which equals 12 with a remainder of 1.
37 ÷ 3 = 12 r1
2. Find the whole number.
The whole number is the number of times the denominator divides into the numerator.
3 (the denominator) divides into 37 (the numerator) 12 times, so 12 is the whole number.
Make the remainder the new numerator.
Because the remainder (the leftover value) of dividing 37 by 3 is 12, 1 is the new numerator. The denominator is still 3. So, the mixed fraction is:
12 1/3
Hope it helps...
Slope worksheet. Please help me!!!
Answers
Slope= y2-y1/x2-x1
Question 4: (-1,-2) and (1,0)
-1 is x1, -2 is y1
1 is x2, 0 is y2
0- -2=2 (0 subtract -2, two minus signs equal to an addition sign.)
1- -1=2
2/2= 1
The slope is 1.
PLZ SOLVE FAST FOR 800 ROBUX TOO
Answers
Answer:
[tex] x = 22.5[/tex]
[tex]180 - 4x + 2x = 6x \\ x = 180 \div 8 = 22.5 \\ so \: x = 22.5[/tex]
Answer:
22.5
Step-by-step explanation:
username Maxracker1
A farmer sold 53.2 pounds of carrots and 29.4 pounds of green beans to a restaurant. How many pounds of these two vegetables did the restaurant buy? Explain your thinking. *
Answers
Answer:
just add up the 2 numbers pretty simple
Step-by-step explanation:
53.2 plus 29.4
Answer: 82.6 lb
Step-by-step explanation:
Since the restaurant is buying the pounds given from the farmer, add the pounds together.
Add
53.2 + 29.4 = 82.6
Hence, the restaurant bought 82.6 pounds of vegetables.
3 times what equals -18
Answers
Answer:
-6
Step-by-step explanation:
Let "what" be termed as "x".
Set the equation:
3 * x = -18
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 3 from both sides:
(3x)/3 = (-18)/3
x = -18/3
x = -6*
*Note: When you divide a negative number with a positive number, your answer will be negative.
-6 is your answer.
~
The value of number which is 3 times to -18 is -6 .
Given,
3 *x = -18
So,
Let "what" be termed as "x".
Form the equation including the variable x ,
3 * x = -18
Isolate the variable, x.
Note the equal sign, what you do to one side, you do to the other. Divide 3 from both sides:
(3x)/3 = (-18)/3
x = -18/3
x = -6
-6 is the required answer .
Know more about equations,
https://brainly.com/question/20906227
#SPJ6
Heeeeeeeeeeeeeeeeeelpppppppppppp
Answers
Answer:
As both these angles form a linear pair, they together will form 180°
So,
(2x + 45)° + x = 180°
=> 2x + 45 + x = 180°
If my answer helped, kindly mark me as the brainliest!
Thank You!!
PLEASE SOLVE ASAP!
The sum of the measures of two complementary angles is equal to ____.
Answers
Answer: Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.
Step-by-step explanation:
Answer:
90°
Step-by-step explanation:
!!!!Translate the sentence into an equation!!
The sum of 7 times a number and 3 is 6.
Answers
Answer:
7x + 3=6 that is the equation
Consider the functions f(x) = 5x – 2, g(x) = 5x² + 2 and r(x) = –2x + 4.
Evaluate f(g(5)).
10 points!
Answers
Answer:
f(-2x+4) = -10x+18
Step-by-step explanation:
Answer:
733 I hope that helps! Sorry if its incorrect
A psychology professor wants to know whether verbal ability is related to memory quality in current first-year students at her small college. Participants in the study (first-year students at her college) complete an online memory task. The students are first shown a list of 60 words. Next they are shown a list of 10 words that were on the original list. Then they are asked to identify the words on the second list that appeared on the original list. She uses the percentage of words that were correctly recognized on the original list as her measure of memory quality. She also asks the students to report several characteristics such as their age, gender, and verbal SAT score. Each of the 750 first-year students (338 males and 412 females) at her school volunteers to participate. The professor chose 75 students at random to complete the memory task and answer the questions. The average percentage of words that were correctly recognized on the original list was 68%. The professor infers that if all 750 first-year students had completed the study, the results would show that an average of 68% (plus or minus sampling error) of the words were correctly recognized as being on the original list. Which of the following are variables in the study? Check all that apply.
A. The students' verbal SAT scores
B. The students' percentage of words that were correctly recognized on the original list
C. The 75 students
D. The 750 students
Answers
Answer:
The variable are
A and B
Step-by-step explanation:
Generally we can define a variable as a name of a placeholder representing a value now considering the option to be selected from we see that
The students' verbal SAT scores is a variable because it is a phrase or a place holder that represent a value (in the is case a numerical value) which the score its self
The second option The students' percentage of words that were correctly recognized on the original list is also a variable because it is a placeholder of a name (in this case a phrase ) that represented the actual value itself
The third option The 75 students is not a variable because it is not representing any value but itself is the value
The third option The 750 students is not a variable because it is not representing any value but itself is the value
use the model to solve 4 friends equally split in one half of a pound of candy how much will each friend get
Answers
Answer:
.25 pounds
Step-by-step explanation:
Unfortunately, the type of model that is supposed to be used is not given so I will just solve what I can. So each friend gets and equal amount. If we have 1 pound in the beginning, and 4 friends, then we have to divide the candy by 4. So we do 1 pound/4=.25 pounds. If you want to go above and beyond, we can always convert the pounds into ounces and make it so each friend gets 4 ounces of candy.
Which is larger, 3.2 x 10^4 or 3.2 x 10^5
Answers
Answer:
3.2 x 10^5
Step-by-step explanation:
Answer:
3.2 x 10^5
Step-by-step explanation:
it had a bigger exponent.