The only value of the angles that could not be the value of the θ is determined as 240⁰.
Value of sinθ
If sinθ is given as [tex]\frac{\sqrt{3} }{2}[/tex], then the value of θ is determined as follows;
sinθ = √3/2
sinθ = 0.866
θ = sin⁻¹(0.866)
θ = 60⁰
Other possible values of θWhen the angle is translated in radians, θ = π/3 = 180/3 = 60⁰
thus, θ = π/3
2(π/3) = 2(60) = 120⁰
using the following formula, we can obtain the rest;
θ = π/3 + 2πk
when k = 1;
θ = π/3 + 2π(1)
θ = 60 + 2(180)
θ = 420⁰
Thus, the only value of the angles that could not be the value of the θ is determined as 240⁰.
Learn more about translation of angles here: https://brainly.com/question/2679720
#SPJ1
Simplify the expression using properties of exponents. 10a-8b-2/4a3b5
=52a−11b−7
Explanation:
10
a
−
8
b
−
2
4
a
3
b
5
Note:
a
m
a
n
=
a
m
−
n
Applying the above property to the exponents of
a
and
b
=
(
10
4
)
.
a
(
−
8
−
3
)
.
b
(
−
2
−
5
)
=
5
2
a
−
11
b
−
7
Hola has 18 balls and he wants to give some of his balls to 9 girls on the bed. If he gave away some balls how many balls are there left?
Answer:
the answer should be 2
Step-by-step explanation:
you have to divide the 18 balls by the 9 girls.
16 out of 80 baseball players are left handed.
What percent of the players are left handed?
Answer:
20% of players are left-handed
Step-by-step explanation:
First, find how much each player is worth percent-wise
100 / 80 = 1.25
Then find out how much percent of players that makes up
1.25 x 16 = 20
The answer is 20% of players are left-handed, to check it you could do
80 * 0.2 = 16
(80 = total players, 0.2 = 20%, 16 = total left handed players)
Write an equation for this situation.
It costs $3.00 to rent a boat on the lake for hour. Select ALL the statements that correctly match this ratio.
4
3
- of a hour costs $9.00
4
2 hours costs $18.00
1 hour costs $12.00
1
2
hour costs $6.00
2 hours costs 6 dollars is the only statements that is true
--
simply add 3.00 to 3.00 because its 2 hours
or if it was half an hour simply add 1.50 because half of 3.00 is 1.50
What is the measure of angle x?
Answer:
90 degrees cuz the lil square thang
Answer:
x = 48°
Step-by-step explanation:
The sum of angles on a line is 180°.
The angles 42°, 90°, and x° lie on the same line.
42 + 90 + x = 180x + 132 = 180x = 48°Solve |x|+7<4.
A.) {x|x<-11 or x>-3}
B.) ∅
C.) {x|-3
Answer:
No solutions
Step-by-step explanation:
Given inequality,
|x|+7<4To Find:
Value of x in the inequality.
Solution:
Add -7 to both sides
= |x|+7+(−7)<4+(−7)= |x|<−3Find absolute value
No solutionsWhy?
Reason:Because, absolute values can't be less than 0.
Determine the sine, cosine, and tangent to the angle
A sun 0=12/15
Answer:
Cos θ = 13/15
Tan θ= 12/13
Step-by-step explanation:
We are given;
Sin θ = 12/15
From trigonometric ratios, we know that;
Sin θ = opp/hyp
Cos θ = adj/hyp
Tan θ = opp/adj
Thus, since Sin θ = 12/15, then;
Adjacent side = √(15²- 12²)
Adhacent side = √169
Afjacent side =13
Thus;
Cos θ = 13/15
Tan θ= 12/13
Identify the intercepts of the graph.
Answer: X-ints = (-1,0) and Y-ints = (1,0)
Step-by-step explanation:
This is quite simple. The way to solve this problem is by visualization, if you have learned how coordinates are created, this is how you would do it.
In a 2D plane, you have an X and Y axis and coordinates are created in the form of (X,Y).
by simply looking at the graph, I can see how the line crosses the positive 1 in the Y-axis, and -1 in the X-axis.
Part A) asks to find the X-intercept(s) which as stated above, it croses -1 on the X-axis and 0 on the Y-axis. Therefore the intercept is:
(-1,0)
part B) asks the same but for the Y-intercepts. We look at the graph and see the line crosses positive 1 in the Y-axis, and 0 in the X-axis. So:
(0,1)
done :)
There are 22 fourth-grade students and 26 fifth-grade students who became
cheerleaders. Each cheerleading group will have 8 members. Which equation
can be used to find out how many groups can be made?
(22 + 26) / 8 = x
(/ this means division)
Which statement correctly compares the shapes of the distributions?
The statement that compares the distribution shapes is (b) East Hills HS is positively skewed, and Southview HS is symmetric.
How to interpret the distribution shapes?From the question, we have the following highlights:
East Hills HS has more points at the right. This represents a positive skewSouthview HS has more points at the center. This represents a symmetric skewnessHence, the statement that compares the distribution shapes is (b) East Hills HS is positively skewed, and Southview HS is symmetric.
Read more about skewness at:
https://brainly.com/question/24309209
#SPJ1
Answer:
Step-by-step explanation:
East hills is negative skewed, Southview is symmetric
Explanation-just took the quiz
A used car depot wants to study the relationships between the age of a car and its selling price. Listed below is a random sample of 9 cars at the depot during the last 3 months
When the common ratio of an
infinite geometric sequence is
less than 1, its sum can be
found by the formula
a
where s is the sum, a is the first
term, and r is the common
ratio, What is the sum of the
geometric sequence below?
16,8,4,2.
The sum of the infinite geometric sequence 16, 8, 4, 2 is 32
How to find the sum of a geometric sequence?The sum can be represented as follows:
s∞ = a / 1 - r
where
r = common ratio
a = first term
Therefore,
r = 8 / 16 = 1 / 2
a = 16
hence,
s = 16 / 1 - 1 / 2
s = 16 / 1 / 2
s = 16 × 2 / 1
s = 32
learn more on geometric sequence here: https://brainly.com/question/2288956
#SPJ1
Given a triangle ABC at points A=(-4,-3) B=(4, 5) C=(2,-4), and if the triangle is
dilated with a scale factor of 3, centered at the origin, find the new point C'.
Answer: (6,-12)
Step-by-step explanation:
For dilations centered at the origin, we can multiply each of the coordinates by the scale factor. This means that [tex]C'=(2 \times 3, -4 \times 3)=\boxed{(6, -12)}[/tex]
What is the perimeter of this composite figure?
Answer:
24.56
Step-by-step explanation:
the circumference of a cricle is pi times diameter (so 4pi) then add both sides of 6 (so 12)
Answer:
P= 24.56cm
Step-by-step explanation:
P=2L + πd
P=2x 6cm + 3.14x4cm
p=12cm+12.56cm
P= 24.56cm
ASAP. Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help ASAP Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help ASAP Pls help Pls help Pls help Pls help Pls help Pls help Pls help ASAP Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help ASAP
Use the net to find the surface area of the square pyramid
Answer:
333 ft^2
Step-by-step explanation:
Surface area is the sum of all the areas of the shape.
First, the area of the square in the center is simply 9x9 = 81.
The area of a triangle is (bh)/2, where b = base, and h = height
In the triangle, 9 is the base, and 14 is the height:
(9x14)/2 = 63
There are four triangles of the same area:
63 x 4 = 252
252 + 81 = 333
Answer:
333ft^2
Step-by-step explanation:
o is the centre of the circle find the size of each angle
Answer:
In the figure,
AC is the diameter of circle with centre O
∠DAC=37
o
AD || BC
∠ACB=∠DAC (Alternate angles)
Hence,
x=37
o
In Δ ABC,
∠B=90
o
(angle in semicircle)
By angle sum property of triangle, we get,
∠x+∠y+∠B=180
o
37
o
+∠y+90
o
=180
o
∠y=180
o
−127
o
We get,
∠y=53
o
Step-by-step explanation:
d. Your doctor tells you you are in the 30th percentile for blood pressure among US adults. What is your systolic BP? Round to 2 decimal places.
Using the normal distribution, it is found that your systolic blood pressure is of 110.45.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Researching the problem on the internet, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 122, \sigma = 22[/tex].
The 30th percentile is X when Z = -0.525, hence your BP is given as follows.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.525 = \frac{X - 122}{22}[/tex]
X - 122 = -0.525 x 22
X = 110.45.
More can be learned about the normal distribution at https://brainly.com/question/24663213
#SPJ1
Jill bought 3 pints of strawberries for $3.98 each. What is the best estimate of how much Jill spent?
$4.00
$9.00
$12.00
$8.00
Answer:
Answer C. $12.00
Step One: Round
First you will want to round $3.98 to the nearst hundredth. A little saying my teacher taught me to help you to remember to round:
Find your place, and move next door.
Five or over add one more!
Numbers to the left, stay the same.
Numbers to the right, zeros your name!
So, we choose the 8 in 3.98. We then round. Since the nine is over five, we add one more to it. Causing it to be 4.00
Step Two: Multiply
Now multiply buy 3 since Jill is getting three pints of strawberries
3 times 4 is twelve
So, your answer is 12.00
Hope this helps!!
Look at the image below.
3
2.2
2
What is the area of the parallelogram?
square units
If RS= 5 , RT = 12 , ST = 7 , and points R, S, and T are collinear, what is the relationship between points R , S , and T ?
The relationship between points R , S , and T is that the sum of the RS and RT will be equal to RT that is RT=RS+ST
What are collinear points?Collinear points are defined as the points which lie on the same line. Here we have three points R, S and T that are collinear.
We have the length equal to:
RS=5, RT=12 ST=7
So we can set the relationship as the sum of the RS and RT will be equal to RT.
So the relation will be given as:-
RT=RS+ST
hence the relationship between points R , S , and T is that the sum of the RS and RT will be equal to RT that is RT=RS+ST
To know more about collinear points follow
https://brainly.com/question/13071707
#SPJ1
Answer:
R, S, and T
Step-by-step explanation:
collinear, is the relationship between all the points
The mean of four numbers is 59, The numbers are 52, 58, 57, and x. Find the value of x.
Answer:
X=69
Step-by-step explanation:
52, 58, 57, X =59
52+58+57+X/4=59
167+X/4=59
Multiply both sides by 4
4(167+X) /4 = 59x4
Simplify
167 + X= 236
Subtract 167 from both sides
167 + X- 167 = 236 – 167
Simplify
X= 69
to check
52+ 58+57+69/4 =59
I need help with this problem please.
Answer:
D
Step-by-step explanation:
percentage are boys? 3. The price of a chocolate bar is 25p and includes 5p profit. Express the profit as a percentage of the original price.
Answer:
25%
Step-by-step explanation:
the original price is 20 not 25 because 25 is the total of the profit and the price of the chocolate so there's no way 25 is the original price and if you know that and you know the formula it'll be easy for you to get the percentage profit good day.
If our statement was < β is congruent to < α, the reason would be _____.
Answer:
Step-by-step explanation:
Vertical angles theorem.
It the UK they are called opposite angles,
Hhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
Not linear because there is no degree in terms of yLinearNot linear because there is no specified degree.Nonlinear.Answer: A
Step-by-step explanation: its the only one that dosent have 1/2 and i double checked it goes straight through the graph
A piece of length of wire 8 ¼m. It is cut into two pieces. The length of onee piece is 4 3/5 m. What is the length of other piece
Answer should be 7/2m
Answer:
3 ¹³/²⁰ m
Step-by-step explanation:
You first take 8¼ m then you subtract 4⅗m giving you 3 ¹³/20
now bsf yall know........
Answer:
24 - 14.4b
Step-by-step explanation:
The First National Bank of Wilson has 700 checking account customers. A recent sample of 50 of these customers showed 29 have a Visa card with the bank.
a. What is the margin of error for a 95% confidence interval for the population proportion? (Round your answer to 3 decimal places.)
b. What is the 95% confidence interval for the population proportion?
The margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
We have:
n = 50, X = 29,
Estimate point p = 29/50 = 0.58
q = 1-p = 1-0.58 = 0.42
Z at 0.05/2 (95% confidence interval) = 1.96
[tex]\rm MOE = 1.96\sqrt{\dfrac{0.58\times0.42}{50}}[/tex]
After calculating:
MOE = 0.137
Confidence interval will be: (p - MOE, p+MOE)
= (0.58-0.137, 0.58+0.137)
= (0.443, 0.717)
Thus, the margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).
Learn more about the Margin of error here:
brainly.com/question/13990500
#SPJ1
Please help me my friends
What is the perimeter of this rectangle?
The length and width of the rectangle will be √68 and √17. Then the perimeter of the rectangle will be 2 (√17 + √68).
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The graph is shown below.
Then the perimeter of the rectangle will be
P = 2 (length + width)
The length of the rectangle will be
L² = 2² + 8²
L² = 4 + 64
L² = 68
L = √68
The width of the rectangle will be
W² = 1² + 4²
W² = 1 + 16
W² = 17
W = √17
Then the perimeter will be
P = 2 (√17 + √68)
More about the rectangle link is given below.
https://brainly.com/question/10046743
#SPJ1