Find an angle Theta with 0° < 0 < 360° that has the same:
Sine as 50°: theta =
degrees
Cosine as 50°: theta =
degrees
Answer:
1) θ = 130°
2) θ = 310°
Step-by-step explanation:
We want to find a value of θ such that:
sin(θ) = sin(50°)
We know that sin(90°) = 1
We will have a symmetry around 90°.
Then if we define a constant k
sin(90° + k) = sin(90° - k)
we can define k such that:
90° - k = 50°
90° - 50° = k
40° = k
Then:
sin(90° + 40°) = sin(90° - 40°)
sin(130°) = sin(50°)
then θ = 130°
Now we want to find:
cos(θ) = cos(50°)
We know that cos(0°) = 1
Then we have symmetry around 0°
With the same reasoning than before, we can write:
cos( 0° + k) = cos(0° - k)
We can define:
0° + k = 50°
k = 50°
Then:
cos(50°) = cos(-50°)
But we want 0° < θ < 360°
Knowing that the peridisity of the trigonometric functions is of 360° then:
cos(50°) = cos(-50°) = cos( - 50° + 360°)
cos(50°) = cos(310°)
in this case θ = 310°
There are 70 dogs and 55 cats at the shelter. FIFTEEN of these animals get adopted. What % of the animals got adopted?
Answer:
Step-by-step explanation:
27
complete the table of values for x + y=6
Answer:
x=3 + y=3 =6
Step-by-step explanation:
first you have to find out what can equal 6 and 3 plus 3 equals 6 so that's your answer
Answer:
See table below
Step-by-step explanation:
(0,6) (1,5) (2,4) (3,3) (4,2) (5,1) (6,0)
These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
15 20
30
40
45
Town B
2
35
40 45 48
O
5
10
15 20
45
50
55
60
25 30 35 40
Degrees (F)
Which statement is the most appropriate comparison of the spreads?
O A. The interquartile range (IQR) for town A, 30°, is less than the IQR
for town B, 46º.
B. The standard deviation for town A, 20°, is greater than the
standard deviation for town B, 10'.
O C. The interquartile range (IQR) for town A, 20°, is greater than the
IQR for town B, 10°.
D. The interquartile ranges (IQRs) for towns A and B are both 20°.
Answer: C
Step-by-step explanation:
just took test
The interquartile range (IQR) for town A, 20°, is greater than the IQR for town B, 10°. The correct option is C.
What is interquartile range?The interquartile range (IQR) is a measure of the spread of the data's middle 50%. It is defined as the difference between the third and first quartiles (Q1). A larger IQR indicates that the data is spread out more.
Looking at the box plots, we can see that the IQR for town A is the distance between the lower and upper quartiles, which is approximately 30 - 20 = 10 degrees.
The IQR for town B is approximately 45 - 35 = 10 degrees.
So, the interquartile range (IQR) for town A, 20°, is greater than the IQR for town B, 10°.
Option A is incorrect because the IQR for town B exceeds 46o. Option B is incorrect because the box plots do not include the standard deviation. Option D is incorrect because the IQRs for the two towns differ.
Thus, the correct option is C.
For more details regarding interquartile range, visit:
https://brainly.com/question/29204101
#SPJ7
1 question Plus brainliest help fast and I will add you too please please help
Answer:
its C
Step-by-step explanation:
Answer: C is the correct answer
Step-by-step explanation:
PLEASE HELP i don’t get this
A piece of blue yarn is 7 7 8 yards long. A piece of pink yarn is 6 times as long as the blue yarn. How much longer is the pink yarn than the blue yarn?
Answer:
4668
Step-by-step explanation:
you would just multiply 778 by 6
778*6=4668
Find the value of x that makes the following equation true.[tex]- 4x + 26 = -2[/tex]
Answer:
Hi! The answer to your question is x = 7
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Answer:
x = 7
Step-by-step explanation:
this is a linear equation
Consider the following system of functions. F(x)=7x^2+9x-8. G(x)=2x+6. Complete the table of values and find the solution(s) to the system.
Answer:
x=(-2,1)
x=(1,-2)
Step-by-step explanation:
Answer:
X= -2 1
X=1 -2
Step-by-step explanation:
Algebra Nation
(There’s no comma separating the answer but leave a space)
Factor out the GCF from the given polynomial. 10^3 + 16^2 - 18x 10^3 + 16^2 - 18x = (Type your answer in factored form.)
Correct question is;
Factor out the GCF from the given polynomial. 10x³ + 16x² - 18x. (Type your answer in factored form.)
Answer:
GCF = 5x² + 8x - 9
Step-by-step explanation:
The given polynomial is;
10x³ + 16x² - 18x
First thing is to inspect the coefficients and see the greatest number that all three can be divided by evenly without remainder.
The greatest number is 2.
Secondly let's inspect the variables to see what we can factor out.
They all contain x. Thus, x is a factor.
Thus, we will divide each term by 2x to obtain the GCF of the polynomial.
GCF = (10x³/2x) + (16x²/2x) - (18x/2x)
GCF = 5x² + 8x - 9
I need help with this . Please show workings.
1.A worker has painted ⅔ of a house. What percentage of the house has not been painted?
2. A manager salary of 600 is increased by 12½% .What is his new salary?
Answer:
1. 33.3333(repeating)%
2. $675
Step-by-step explanation:
2/3 = 0.6666(repeating)7
1 - 2/3 = 0.33333333333333333333333333333333333333333333333333333
2. 600 * 1.12½ (divide fractions to quickly convert them to decimals) = 675
3. In the television viewing data above, is there more than one way to
pair the data values to form compatible numbers? Explain.
Answer:
Yes because you could use due 7 + 8 to get 15 which is the easy way to blend with the 15 to get 30
Find the Area of a Trapezoid.
Base 1 :2
Base 2 : 3
Height :2
Answer:
The area would be 5
the first second and third bases on a baseball field are square cavas bags that each have an area of 225 square inches. what is the length of each base
Answer:
length = 15 in
Step-by-step explanation:
length = √225 = 15 in
Factor the following polynomial 5x^2 + x
Hi
5x²+x = x ( 5x +1)
Answer:
(5+1)
Step-by-step explanation:
Pls help me I don’t know how to do math :)
Answer:
[tex]2\sqrt{3}[/tex] or 2 square roots of 3
Step-by-step explanation:
The figure shown is a 30 - 60 - 90 degree special right triangle
The image below shows the properties of a 30 - 60 - 90 degree special right triangle
We are asked to find the longer leg (v)
The image tells us that the longer leg is equal to the shorter leg to the square root of 3
so v = 2 to the square of 3
Hence, the answer is the first one
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -0.084°C.
P(Z>-0.084)
Answer:
0.53347
Step-by-step explanation:
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score = -0.084 °C
μ is the population mean = 0 °C
σ is the population standard deviation = 1°C
Z score =x - μ/σ
= -0.084 - 0/1
= -0.084
Probability value from Z-Table:
P(x<-0.084) = 0.46653
P(x>-0.084) = 1 - P(x<-0.084) = 0.53347
The probability of obtaining a reading greater than -0.084°C = P(x > -0.084) =
is 0.53347
A swimmer swims 30 laps in 5 minutes. How many laps would they swim in 23 minutes?
Answer:
138 laps in 23 minutes
Step-by-step explanation:
30/5
x/23
5x=690
690/5=138
Write and solve an equation to find x.
Q (11x - 5)
P (6x + 5)
R x
Answer:
x = 10 degrees
Step-by-step explanation:
the sum of angles in triangle = 180 degrees
11x - 5 + 6x + 5 + x = 180
combine
18x = 180
divide
x = 10 degrees
Pancho ordered a set of green and blue pencils. He
received 80 pencils, and 61% of them were blue.
About how many blue pencils did Pancho receive?
help its due rn plzzz
Answer:
x = 2.65, -2.65
Step-by-step explanation:
x² = 7
[tex]x =[/tex] ± [tex]\sqrt{7}[/tex]
or x = 2.64575131.., -2.64575131...
PLEASE HELPPPP I WILL MARK BRAINLIEST!!!
Answer:
Step-by-step explanation:
Tasha's scores on her first five tests were as follows.
74, 90, 92, 83, 81
What would Tasha have to score on the sixth test to have a mean of 85?
5
85
90
95
Answer: 90
Step-by-step explanation:
74+90+92+83+81= 420
420+90= 510
510/6= 85
*I actually work all the numbers given like this until I got 85.
Answer:
I know I am almost a year late! lol But I just learned about it so I figured I could still help!
Step-by-step explanation:
The answer is 90.
Use this example/solution I was given to learn from:
Example:
Aaron's P.E. class is completing a unit on bowling. So every Friday afternoon for the last three weeks, they have bowled one game at a nearby bowling alley. His scores have been 121, 147, and 96. What would he have to bowl next time in order to have a mean score of 128?
Solution:
Let x represent Aaron's fourth and unknown score. To have a mean of 128, the sum of the four scores would have to be divided by 4. To get that sum by itself, multiply it by 4. You also have to multiply the desired mean of 128 by 4. So the sum of the four scores is equal to 128 times 4.
121 + 147 + 96 + x = 128 ∙ 4
• Substitute in the values of the four scores.
364 + x = 512
• Simplify.
364 - 364 + x = 512 - 364
• Subtract 364 from each side of the equation.
x = 148
• Simplify.
Aaron must score a 148 in order to have a mean score of 128.
(From Calvert Homeschool)
Find the sum of the first 47 terms of the following series, to the nearest integer.
12, 16. 20. ...
Answer:
The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888
Step-by-step explanation:
The given series is;
12, 16, 20, ...,
Therefore, the first term of the series is, a = 12
The common difference of series is found as follows;
The difference between subsequent terms, 12 and 16 is 16 - 12 = 4
The difference between subsequent terms, 16, and 20 is 20 - 16 = 4
Therefore, the common difference, d = 4
The series is therefore an arithmetic projection, AP
The sum of the first 'n' terms of an AP, Sₙ, is given as follows;
[tex]S_n = \dfrac{n}{2} \cdot \left [2 \cdot a + (n - 1)\cdot d \right ][/tex]
(47/2)*(2*12+(47-1)*4)
The sum of the first 47 terms is therefore given as follows;
[tex]S_n = \dfrac{47}{2} \cdot \left [2 \times 12 + (47 - 1)\times 4 \right ] = 4,888[/tex]
The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888
Please help, having a lot of trouble with this
Answer:
d. -1
Step-by-step explanation:
the slope is the rise over the run from one point to another.
i hope this helps :)
Each line is 1 unit.
Use the dots A and B
A is located at (-3,3)
B is located at (3,-3)
Slope is the change in y over the change in x
Slope = (-3 -3) / (3 - -3)
Slope = -6/6
Slope = -1
The answer is D -1
PLS HELP ASAP WILL GIVE BRAINLEAST!!!
Answer:
(-6, 2)
Step-by-step explanation:
the pentagon is flipped
(Solve): 2x3 - 9x2 + x + 12 = 0
Answer:
Very sorry if im wrong.
Step-by-step explanation:
(x - 4) (x + 1) (2 x - 3) = 0
2 x^3 + x + 12 = 9 x^2
2 (x - 3/2)^3 - 25/2 (x - 3/2) = 0
help plsss!!! i just need to know a,b,c or d
Answer:
THE ANSWER IS 8 OPTION B
MARK ME AS BRAINLIEST
Independent Practice
Now practice solving some problems.
Which number is a solution of the inequality ?
[tex]\frac{4-m}{m}[/tex][tex]\geq[/tex]5
IT'S NOT A. 2
A.
2
B.
0.75
C.
–4
D.
0.5
Answer:
B
Step-by-step explanation:
Answer:
m ≤ 2/3 or m ≤ .67
Step-by-step explanation:
cross-multiply:
4 - m ≥ 5m
4 ≥ 6m
4/6 ≥ m or m ≤ 2/3
A 7 kg ball is push with a force of 28. What s the acceleration?
