Answer:
[tex] \frac{20}{29} [/tex]
Step-by-step explanation:
Let x replace theta.
Apply pythagorean trig identity
[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]
[tex] (\frac{21}{29} ) {}^{2} + \cos {}^{2} (x) = 1[/tex]
[tex] \frac{441}{841} + \cos {}^{2} (x) = 1[/tex]
[tex] \cos {}^{2} (x) = 1 - \frac{441}{841} [/tex]
[tex] \cos {}^{2} (x) = \frac{400}{841} [/tex]
[tex] \cos(x) = \frac{20}{29} [/tex]
Cosine is positve in 1st quadrant so the answer is
[tex] \frac{20}{29} [/tex]
Picture included-11 points-second time
Answer:
b = 12
Step-by-step explanation:
c^2 = a^2 + b^2
Solving for b,
b^2 = c^2 - a^2
= (13)^2 - (5)^2
= 169 - 25
= 144
or
b = 12
How many integers in the interval [100, 999] are not divisible by 14?
Answer:
69
Step-by-step explanation:
Numbers between 100 to 999 which are divided by 13
104,117,130............................988 .
So a=104, d=13 and,an=988
an=a+(n−1)d
988=104+(n−1)⋅13
88413+1=n
n=69
.Please help with question 21
Answer:
y=500x+20000
Step-by-step explanation:
Identify the terminal point for a 30° angle in a unit circle.
O A (1,
O R. (4,4)
O c. (9.12)
OD. (1,7)
SUBMIT
Answer:
The coordinates for the point on a circle of radius at an angle of are At the radius of the unit circle, 1, serves as the hypotenuse of a 30-60-90 degree right triangle, as shown in (Figure).
Step-by-step explanation:
A 4-column table with 2 rows. Column 1 has entries Sample 1, Sample 2. Column 2 is labeled Apple with entries 40, 43. Column 3 is labeled Orange with entries 64, 63. Column 4 is labeled Banana with entries 21, 19.
A survey was conducted asking people about their favorite fruit. Which inferences about the population are true based on the data? Check all that apply.
About twice as many people prefer apples as prefer bananas.
Bananas are preferred much less frequently than apples or oranges.
Exactly twice as many people prefer oranges as prefer apples.
Exactly three times as many people prefer bananas as prefer oranges.
The samples show little variation for each fruit.
Answer:
A, B, E
example
all of them are correct give them both a brainly
d more than 342 is the same as 90
write this sentence as an equation.
Answer:
342 + D = 90
Step-by-step explanation:
We can deduce the following from the statement;
- D is added to 342 so as to make it greater.
- The resulting value is the same as 90 i.e equal in value to 90.
Translating the word problem into an algebraic expression, we have;
342 + D = 90
if the sum of x and 3 is ten ,what is the value of x
Answer: 7
Step-by-step explanation:
[tex]x+3=10 \\ \\ x=7[/tex]
Heeeelllpp pleaseeeee
Answer:
A. 12.7
Step-by-step explanation:
If line a is parallel to line b, therefore,
(10x - 13.3) = (8x + 12.1) => alternate interior angles theorem
Solve for x
10x - 13.3 = 8x + 12.1
Collect like terms
10x - 8x = 13.3 + 12.1
2x = 25.4
Divide both sides by 2
x = 25.4/2
x = 12.7
2 - 5
put explanation
Answer: -3
Step-by-step explanation: well there is a pretty easy explanation for this because what you pretty much do is you put the answer around by doing 5-2 and just put a negative since the smaller number is in the front.
You roll a die. Find the probability that you roll an even number or a number less than 5.
Answer:
4/6
Step-by-step explanation:
The public relations officer for a particular city claims the average monthly cost for childcare outside the home for a single child is $600. A potential resident is interested in whether the claim is correct. She obtains a random sample of 14 records and computes the average monthly cost of this type of childcare to be $589 with a standard deviation of $40. Perform the appropriate test of hypothesis for the potential resident using . Approximate the p-value for the test in (a).
Answer:
Since the calculated value of z= -1.0198 does not lie in the critical region z = ± 1.96 the null hypothesis is accepted and it is concluded that the average monthly cost for childcare outside the home for a single child is $600.
P- value ≈ 0.307823 which supports the null hypothesis .
Step-by-step explanation:
The null and alternate hypotheses are
H0: u = $600 the average monthly cost for childcare outside the home for a single child is $600.
against the claim
Ha: u ≠ $600 the average monthly cost for childcare outside the home for a single child is not equal to $600.
The significance level is set at 0.05
3) The critical region is z = ±1.96
4) The test statistic
Z=x- u /s/√n
z= 589-600/40/√14
z= -11/10.7681
z= -1.0198
6) Conclusion
Since the calculated value of z= -1.0198 does not lie in the critical region z = ± 1.96 the null hypothesis is accepted and it is concluded that the average monthly cost for childcare outside the home for a single child is $600.
P- value ≈ 0.307823 which supports the null hypothesis .
If 2/3x - 1 = 4, then x =?
PLEASE HELP
x = 15/2
Step-by-step explanation:
Step 1: Add 1 to both sides.
2/3x − 1 + 1 = 4 + 1
2/3x = 5
Step 2: Multiply both sides by 3/2.
(3/2) * (2/3x) = (3/2) * (5)
x = 15/2
On Tuesday, 14 students handed in a permission slip for a field trip. On Thursday, twice as many students handed in their permission slip than on Tuesday. On Friday, an additional 7 students turned in their permission slip. If 50 students received a permission slip, how many students did NOT turn it in?
15 students
0 students
1 student
49 students
Answer:
15
Step-by-step explanation:
14+14=28+7=35-50=15
Hope that helped (your free to ask any question or if you are confused)
Which expression is the best estimate for
3 1/8 - 1 3/4?
[tex]1 \frac{3}{4} - 3 \frac{1}{8} = - \frac{11}{8} = - 1\frac{3}{8} [/tex]
Which expression is equivalent to 128?
Answer: 2^3 x 2^4
Step-by-step explanation:
The value of the exponential expression is A = 2³.2⁴ = 128
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the value of the exponential equation be A
Now , the first expression is p = 2³
The value of p = 8
Now , the second expression is q = 2⁴
The value of q = 16
From the laws of exponents , we get
p.q = 2³.2⁴ = 2³⁺⁴
The value of A = 2⁷ = 128
Hence , the exponential equation is 2⁷ = 128
To learn more about exponents click :
https://brainly.com/question/28966438
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kevin scored 11 points in his last basketball game. if kevin made two more free throws (one point each) then two-point shots, how many of each shot did he make? choose the graph that best depicts this problem.
Answer:
Kevin made 5 free throws and 3 two-point shots.
Step-by-step explanation:
Given that Kevin scored 11 points in his last basketball game, to determine if Kevin made two more free throws (one point each) than two-point shots how many of each shot did he make, the following calculation must be performed:
11 x 1 + 0 x 2 = 11
6 x 1 + 4 x 2 = 14
5 x 1 + 3 x 2 = 11
Therefore, Kevin made 5 free throws and 3 two-point shots.
Answer:
Step-by-step explanation:
Graph
Help I don’t understand.
Answer:line grapg$
Step-by-step explanation:
(-2)(-2)(-2)(-2) in exponential form
Answer:
[tex] (-2)^{4} [/tex]
Step-by-step explanation:
(-2)(-2)(-2)(-2)
The base is -2.
There are 4 factors of -2, so the exponent is 4.
[tex] (-2)(-2)(-2)(-2) = (-2)^{4} [/tex]
Draw a picture of a line and a point that is not on the line. Draw in the shortest distance from the point to the line, What do you notice about the line connecting the point and the line to the original line?
Answer: The line connecting the point and the line is perpendicular to the original line.
Step-by-step explanation:
(Forgot the name but there is also a theorem stating that the shortest distance between a point and a line is the one that is perpendicular)
Evaluate x divided 4 for x=48
Answer:
12
Step-by-step explanation:
x/4
Let x=48
Replace x in the expression
48/4
12
find the simple interest on 10000 from 1 July to 12 september 2007 at 5% per year calculate the interest
Answer:
Simple interest: 83.33, Final amount: 10083.33
Step-by-step explanation:
you dont get a explanation >:)
Can someone please help me I will mark u brilliant
Answer:
11
Step-by-step explanation:
just count all the Xs from 4 and up
PLS, NO FILES, OR LINKS, JUST ANSWERS, AND EXPLANATIONS..... What is the combined area of the two bases of the following cylinder? 43.96 in. 2 87.92 in. 2 25.12 in. 2 12.56 in. 2
The combined area of the circular bases of the cylinder is of 25.12 squared inches.
What is the area of a circle?
The area of a circle of radius r is given by:
[tex]A = \pi r^2[/tex]
In this problem, there are two bases, and each base is a circle of r = 2 in, hence the combined area in inches squared of the two bases is given by:
[tex]A_c = 2 \times \pi \times 2^2 = 8\pi = 25.12[/tex]
More can be learned about the area of a circle at https://brainly.com/question/17326298
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Answer:
25.12 squared inches.
Hope this helps!
what is the answer to this? (freckle)
Answer:
hola :]
Step-by-step explanation:
Mei hikes 3.2 miles on Saturday and 4.8 miles on Sunday. About how far does Mei hike in all?
Answer:
8 miles
Step-by-step explanation:
3.2 + 4.8
The ratio of hot dogs to hamburgers on a barbeque table is 6:4. If there are 36 hot dogs on the table then how many hamburgers must be there?
Answer: 24
Step-by-step explanation:
6 hot dogs for every 4 hamburgers
6*6 = 36
36 hot dogs for every ? hamburgers
since 6*6 equals 36, do 4*6
4*6 = 24
so 24 hamburgers
I can’t guarantee that this is right but I think it is
hopefully it’s helpful
A random sample of students were asked which award they would most like to win (Olympic Gold, Academy Award, or Nobel Prize), and asked which portion of the SAT they performed better on, between the Math and the Verbal. The results are summarized in the table below. Use this table to answer the following question.
1. If P(M) is the proportion of students who did better on the Math portion of the SAT who prefer winning an Olympic Gold, and P(V) is the proportion of students who did better on the Verbal portion of the SAT who prefer winning an Olympic Gold. What is the standard error of the distribution of the difference of proportions?
Answer:
Well would of them just ask how and when they will get it?
Step-by-step explanation:
So sorry if this is wrong.
Help with the Pythagorean Theorem
Answer:
A=5
B=3
C=5.83
A^2+B^2=C^2
Answer:
5.83
Step-by-step explanation:
u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D
Question 2
Salve for then in the measure of are GF
Answer:
Step-by-step explanation:
I'm pretty sure that GF is showing, as the interior angle x -65, it's just kinda hard to see
135-65 = 70° = GF
ill give brainlist to first answerrrrrrrrrrrrrrrr
Answer:
18
The areas of a rectangle is lxw. You simply multiply by 3 x 6 and get this answer.