Answers
Answer:
x ≈ 4.6
Step-by-step explanation:
Reference angle = 75°
Opposite side to reference angle = 17
Adjacent side = x
Applying TOA:
Tan 75 = opp/adj
Tan 75 = 17/x
Multiply both sides by x
x*Tan 75 = 17
Divide both sides by Tan 75
x = 17/Tan 75
x ≈ 4.6
Related Questions
PRACTICE ANOTHER The administration of a large university wants to take a random sample to measure student opinion of a new food service on campus. It plans to use a scale from 1 to 100, on which 1 is complete dissatisfaction and 100 is complete satisfaction. The administration knows from past experience with such questions that the standard deviation for the responses is going to be about 3, but it does not know what to expect for the mean. It wants to be almost sure that the sample mean is within plus or minus 1 point of the true population mean value. How large, n will the random sample have to be
Answers
Answer:
81 samples
Step-by-step explanation:
According to the empirical rule :
Possible values of the sample mean is within 3 standard deviations of the population mean :
μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.
3 * sd(x) = 1
sd(x) = 1/3
Recall:
Standard deviation of sampling distribution, sd(x)
sd(x) = σ / sqrt(n)
1/3 = 3 / sqrt(n)
Square both sides
1/9 = 9/n
Cross multiply :
n * 1 = 9 * 9
n = 81
Find the length of the third side. If necessary, round to the nearest tenth?
Answers
Answer:
3
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
3. Vivian has a balance of $1,075 in a savings account that pays 3.25% interest compounded annually. If Vivian makes no deposits or withdrawals, how much money will be in her saving account after 24 months?
Answers
Answer:
$1146.01
Step-by-step explanation:
The original amount is 100%. The account earns 3.25% per year, so after 1 year it is worth 100% + 3.25% = 103.25% of the original amount. Since the interest is compounded, after the second year, the account is worth 103.25% of the amount at the end of the first year.
$1,075 * 1.0325 * 1.0325 = $1146.01
Solve for x. Round answer to the nearest tenth.
18
43
Answers
Answer:
22.7°
Step-by-step explanation:
22.714° to nearest 10th is 22.7
Evaluate 6(b - 3) + c; for b = 5 and c = 8
Answers
Answer:
20
Step-by-step explanation:
given:
b=5
c=8
6(b-3)+ c
6(5-3)+8
6(2)+8
12+8
20
other method
6(b-3)+c
6b-18+8
30-18+8
12+8
20
Answer:
20
Step-by-step explanation:
b is 5 and c is 8
so we can substitute them on the given equation
if point Q(3,-4) is rotated +270° about the origin, what are the coordinates of Q?
Answers
Answer:
[tex]Q' =(-4,-3)[/tex]
Step-by-step explanation:
Given
[tex]Q = (3,-4)[/tex]
Rotation = +270 degrees
Required
Determine the new coordinates of Q (i.e. Q')
When a point (x,y) is rotated +270° about the origin, the new coordinates is: (y,−x)
So:
[tex]Q = (3,-4)[/tex]
Where:
[tex]x = 3[/tex] and [tex]y = -4[/tex]
Q' will be:
[tex]Q' =(-4,-3)[/tex]
What is 8/9ths of 4?
Answers
8/9 ÷ 4 = 8/36 as simplified as 2/9 in fraction form.
Answer:
8/36
Step-by-step explanation:
I divided 8/9 by 4
I need help with that one anyone can help me please
Answers
Answer:
11: 1 tens, 1 ones 17: 1 tens, 7 ones 17 is greater number, it is greater by 6
Students who attend Washington Middle School are either in seventh or eighth grade.
At the end of the first semester
25% of the students at Washington Middle School were on the honor roll. Seventh graders represented 60% of the
students on the honor roll. If 124 students on the honor roll were in eighth grade, how many students attend
Washington Middle School?
Answers
Answer:
There are 1240 students at Washington middle school.
Step-by-step explanation:
Percentages and Portions
We can find portions of a whole by correctly managing the percentages of each part. We know 25% of all students at Washington middle school were on the honor roll. From that portion, 60% of the students are seventh graders. That means 40% of the 25% are eight graders, i.e. 40*25%=10% were from eight grade.
We have 10% of all students are 124, thus the number of students are 124/10%=1240
There are 1240 students at Washington middle school.
Let's test the answer. 25% of 1240 students are on the honor roll, which is 310 students. 40% of 310 students are from 8th grade, 40%*310 = 124 as stated in the problem
Rex's house is located at point (2,-5) on a coordinate plane. The location of Terrell's house is the reflection of the location of Rex's house across the X-axis.In what quadrant is Terrell's house?
Answers
Answer:
When you reflect a point of the x-axis you can apply:
(x,y) -> (x,-y)
Using this:
(2,-5) -> (2,5)
Since both the x and y places are positive, it is in quadrant 1.
Hope this helps!
Step-by-step explanation:
Help
Select all that apply
Answers
Answer:
A, D
Step-by-step explanation:
It's basic math, height times length = Area.
Answer:
A and D are the only ones that i can see that would be correct
Step-by-step explanation:
how did you get 24/10?
Answers
Step-by-step explanation:
[tex] \tt{} \frac{24}{10} [/tex]
[tex] \tt{} \frac{24 \div 2}{10 \div 2} [/tex]
[tex]\tt{} \frac{12}{5} [/tex]
[tex]\tt{}2 \frac{2}{5} \: \: \: \: \: = 2.4[/tex]
Lmk ASAP please you’re the
Answers
9514 1404 393
Answer:
a ≈ 4.68
Step-by-step explanation:
The law of cosines tells you ...
a² = b² +c² -2bc·cos(A)
a = √(b² +c² -2bc·cos(A))
a = √(5² +8² -2·5·8·cos(33°)) = √(25 +64 -80·0.83867) ≈ √21.906
a ≈ 4.68
Answer:
a≈4.68
Step-by-step explanation:
have a good one!!!
3.366 rounded to the nearest tenth of a ounce
Answers
Answer:
The answer is 3.4
Step-by-step explanation:
5 or more, round up
4 or less, round down
rounding 6
round up
so...
3.4
(-2, -7) and (-4, -9)
Answer:
3.4Oz
Step-by-step explanation:
The figure below consists of a square and a right triangle. Find the missing length x.
Answers
9^2+x^2=15^2
81+x^2=225
x^2=144
x=12
Type in a value that represents as likely as not in a decimal form.
Answers
Answer:
I Need Numbers Somthing....... Its Imposable to answer this
Step-by-step explanation:
20a + 158 +6c = 20 (6) + 15 (4) + 6(8)
+
?
+
?
Answers
Step-by-step explanation:
20a + 158+6c=you will expand the brackets
= so it is 120+60+48
20a+158+6c=120+60+48
20a+ 6c=120+60+48-158
20a+6c=70
20a divide by 20+6c divide by 6 on both side
a + c = 0.58
List three solutions to the following equation: 2x + 4y = 24 Please remember to write your answers in the correct (x,y) format.
Answers
Answer:
(-4,8)
(12,0)
(4,4)
Step-by-step explanation:
graph it
hi besties if you are looking for 50+ brainiest bonus points and brainiest answer this question correctly plz
Answers
Answer: Well if you do 325 ÷ 2/5 = 130. If you try process of elimination with the numbers you’d get the right answer! Like there’s no way you could do 325 - 2/5 cause you’d get 324.6, and adding it you’d get 325.4 so your only thing left to do is multiply :)
Step-by-step explanation:
Find b: a2+b2=c2
a = 6, c = 10
PLZ HELP YALL ILL REWARD BRAINLIEST THINGY
Answers
Answer:
b = 4
Step-by-step explanation:
Which function's graph has the same y Intercept as the line shown?
Оу в x +1
Oy -5x + 5
O y .5x-5
O y: 5x - 1
Answers
The graph has the same y Intercept as the line shown is y = 5x - 5.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We take two points from the graph as (-5, 0) and (0, -5)
So, the slope of line
slope = (-5 - 0)/ (0- (-5))
slope= -5 / 5
slope= -1
Using slope intercept form
y= mx+ b
y= -x+ b
Now, put x= -5 and y= 0 then
0 = -(-5)+ b
b= -5
So, the equation of line is
y= -x - 5
Here, the y intercept is -5.
So, the equation with same y intercept is
y = 5x - 5
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ7
Find the slope of line with the given points (- 6, 2)(3, 7)
Answers
Answer:
m = 5/9
Step-by-step explanation:
rise = 5
run = 9
m = rise/run
m = 5/9
Answer:
m = 5/9
Step-by-step explanation:
Use the slope formula to find the slope m.
[tex]m = \frac{5}{9}[/tex]
Find y' for y = 7x-5 + 2x - 1
y'=
Answers
Answer:
9
Step-by-step explanation:
7x-5+2x-1=9x-6
d/dx (9x-6)=9
write an expression that mean "eight less than product of seven and X".
Answers
Answer:
7x - 8
Step-by-step explanation:
eight less than product of seven and X
seven and x = 7x
eight less than = - 8
put it all together = 7x - 8
Answer:
7x - 8
Step-by-step explanation:
product of seven and X
7 X x = 7x
8 less than it
7X - 8
This is because we're looking for something that is smaller than 7X by 8
The revenue from selling x bracelets is f(x) = 8x.
The cost of buying x bracelets is c(x) = 3x + 12.
The profit from selling x bracelets is p(x) = (x) - c(x).
Write a function for p(x), the profit from selling x bracelets.
O A. p(x) = 11x - 12
B. p(x) = 11x + 12
C. p(x) = 5x - 12
O D. p(x) = 5x + 12
Answers
We are given r(x) and c(x).
p(x) = 8x - (3x + 12)
p(x) = 8x - 3x - 12
p(x) = 5x - 12
Done.
PLEASE ANSWER ASAP FOR BRAINLEST DUE VERY SOON!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
348
.................
In a survey of 300 students 24 students said that social studies was their favorite subject. What percentage of the students asked, said that social studies was their favorite subject?
Answers
Answer:
Step-by-step explanation:
24/300 = 0.08 = 8%
Translate and solve the following: The sum of x and −15 is 23.
Answers
x - 15 = 23
x = 38
write a real world problem for the following inequality X < 17 brainly
Answers
Answer:
i want to drive alone but i am 15 and need to be 17
Step-by-step explanation:
Mrs. Hall bought a package of 8 pencils for $4.64. What is the unit price per pencil?
Answers
Answer:
$0.58
Step-by-step explanation:
There are 8 pencils per package. To find the value of each pencil, divide the cost by 8
4.64/8 = $0.58
Answer:
$0.58
Step-by-step explanation:
unit means one, or the rate or price of each pencil. so if the total was 4.64, youd divide 4.64 by 8, which comes out to $0.58 per pencil