Answer:
cos theta=4/5
b/h=4/5
b=4 and h=5
p=?
H^2=P^2+B^2
5^2=P^2+4^2
25-16=P^2
9=P^2
[tex]\sqrt{9}[/tex]=P
3=P
Now,
sin2theta
=p/h2
=3/5*2
=9/5
Step-by-step explanation:
Answer:
About 36.87 degrees; sinθ=3/5
Step-by-step explanation:
Note: I made an assumption with the Find: sin2θ part of your question, as it turned up as invalid when working on it on my end. Therefore, I assumed that it was sinθ. If it was something else, tell me and I can correct the answer/content.
Since within a triangle there are three sides when solving an angle, being opposite, adjacent and hypotenuse.
By already having cosθ=4/5. the rest of the problem can be solved. Since cosine is adjacent over hypotenuse, we can use the Pythagorean Theorem, solving for one of the legs of the triangle with:
c^2-b^2=a^2
Now, just plug in c as the 5 (the hypotenuse) and b as 4 (one of the legs).
5^2-4^2=a^2
25-16=a^2
9=a^2
a=3
The other leg is 3. With this, 3 would be the opposite angle from sin 20. Therefore, it can be plugged in the sine equation to get the answer. Remember, sine is Opposite/Hypotenuse.
sinθ=3/5
Move over the sine to then opposite side, inverse it:
θ=sin-1 3/5
Use a calculator.
θ = about 36.87 degrees.
Consider the series 7/9+7/27+7/81+1/243 Which expression defines Sn?
Answer:
It’s d
Step-by-step explanation:
The sum of the series is given by option D.
What is a Geometric Series?A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.
The series is
7/9+7/27+7/81+1/243 +.................
The common ratio is
(7/27) / (7/9) = 1/3
r < 1
The sum of the geometric series when r < 1 is given by
Sn = a ( 1-rⁿ)
Sn = [tex]\rm \lim_{n \to \infty}[/tex] (7/9) ( 1- (1/3)ⁿ)
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HELP HELP 6th grade help
Answer:
A: numerical
B:catergorical
C:catergorical
Step-by-step explanation:
14)
a + b = 10
a-b=2
Solve the system of equations.
A)
a = 5. b = 5
B)
a = 2, b = 8
a = 6, b = 4
D
a = 3,6 = 7
Answer:
a = 6 and b = 4
Step-by-step explanation:
hopefully this makes sense
:)
!ANSWER ASAP! Explain how to solve 2x + 1 = 9 using the change of base formula log base b of y equals log y over log b. Include the solution for x in your answer. Round your answer to the nearest thousandth.
Answer: x = 3
Step-by-step explanation:
Subtract 1
2^x = 8
Take the log.
x·log(2) = log(8)
Divide by the coefficient of x.
x = log(8)/log(2) = log₂(8)
We know that 8 = 2³, so log₂(8) = 3.
x = 3
_____
If your equation is ...
2^(x+1) = 9
then
x + 1 = log(9)/log(2)
x = log(9)/log(2) -1 . . . . . . change of base formula can be used, but isn't helpful unless you have a calculator that computes log₂(9).
x ≈ 2.170
The value of x from the logarithmic equation is x = 3
What is Logarithm?The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm
The properties of Logarithm are :
log A + log B = log AB
log A − log B = log A/B
log Aⁿ = n log A
Given data ,
Let the logarithmic equation be represented as A
Now , the value of A is
2ˣ + 1 = 9 be equation (1)
On simplifying the equation , we get
Subtracting 1 on both sides of the equation , we get
2ˣ = 8
Now , taking logarithm on both sides of the equation , we get
log ( 2 )ˣ = log ( 8 )
From the laws of logarithm , we can simplify
x log ( 2 ) = log ( 8 )
And , on further simplification , we get
x log ( 2 ) = log ( 2 )³
So , x log ( 2 ) = 3 log ( 2 )
Divide by log ( 2 ) on both sides of the equation , we get
x = 3
Hence , the value of x = 3
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I need help as soon as possible!! Please!!
Answer:
Option A, (x + 6, y - 4)
Hope this helps!
Answer:
1st option
Step-by-step explanation:
Consider the coordinates of R and R'
R (2, 6 ) and R' (8, 2 )
R → R' in the x- direction is + 6 ( 2 to 8 )
R → R' in the y- direction is - 4 ( 6 to 2 )
Then the translation rule is
(x, y ) → (x + 6, y - 4 )
4. What type of line of symmetry does this triangle have? horizontal vertical This triangle has no line of symmetry. diagonal
7x1,000,000,000-5.8x1,000,000,000
Answer:
1200000000
Step-by-step explanation:
Suppose you were trying to gain an understanding of how the very best painter in an automotive factory works. You know that there is only one painter who far outperforms all of the other painters in the factory, and you know that he uses techniques that no one else in the factory uses. What type of data would you want to collect in this situation
Answer:
Qualitative data
Step-by-step explanation:
Qualitative methods like an interviews and observations that are considered valuable as of their detail, descriptiveness, and uniqueness.
In this given situation, it is already known that the specific painter who outperforms in the factory.
And my motive is to gain an understanding with respect to the performing as a best painter for an automative industry so the same information would be observed and interviewed him
The two circles shown above have radii of 8 in. and 2 in.
Answer:
1/4
Step-by-step explanation:
For the first circle 2 x 2in = 4 to find diameter
4 x 3.14 = 12.56
6in x 2 = 12
12 x 3.14 = 37.68
simplify
12.56/37.68
6.28/18.84
3.14/9.42
So the answer is 1/4 since 3.14 x 2 = 6.28
Also since the radius is 2 times longer
Answer:
D
Step-by-step explanation:
Circumference = 2 * pi * r
Circle A / Circle B = 2 * pi * 8 / 2 * pi * 2
You need to take note of the right side. The 2s cancel and so does pi
Circle A/ Circle B = 8/2
Circle A / Circle B = 4/1 = 4
Which is D
Directions: identify weather the problem has a minimum or a maximum type an “X” in the box next to your answer
A) y= x^2+2x-1
Minimum or maximum
B) y=-x^2-8x-1
Minimum or maximum
C) y=2x^2+8x
Answer:
A) minimum
B) maximum
C) minimum
Step-by-step explanation:
A positive x² coefficent means the parabola opens up and the vertex is the minimum
A negative x² coefficent means the parabola opens up and the vertex is the maximum
---------------------------------
A) minimum
B) maximum
C) minimum
Find the mean. Round to the nearest tenth. 19, 13, 14, 18, 9, 2, 14.
Mean:
Answer:
12.7
Step-by-step explanation:
19 + 13 + 14 + 18 + 9 + 2 + 14 = 89
89 / 7 = 12.7142857143
12.7
ON A RECENT MATH TEST MARY SCORED 14 OF 16 CORRECT. JOHN SCORED 23 OF 26AND JOE SCORED 9 OF 11 CORRECT. WHO ACHIEVED THE HIGHER SCORE?
Answer:
I think the answer is mary
Answer:
John
Step-by-step explanation:
Mary: 87%-88% (0.875)
John: 88% (0.884)
Joe: 81% (0.818)
Trisha packs x boxes with 12 bottles in each box. The total number of bottles she packs is 216. Which equation and solution represent the total number of boxes Trisha packs?
help asap ty :)
Answer:
Number of boxes Trisha pack = 18 boxes
Step-by-step explanation:
Given:
Number of boxes Trisha pack = X
Number of bottles in each box = 12
Total number of bottle = 216
Find:
Number of boxes Trisha pack
Computation:
Total number of bottle = Number of boxes Trisha pack x Number of bottles in each box
216 = X × 12
X = 216 / 12
X = 18
Number of boxes Trisha pack = 18 boxes
Answer:
okkkkkkkkkkkkkkkkkkkkkkkk
Step-by-step explanation:
HELP!!!
WHO EVER HELPS ME FIRST GETS BRAINLEST!!!!How can decomposing a parallelogram and composing it as
another shape help in understanding the formula for the area of
a parallelogram?
Now that Joseph finally has his own bike, he plans to take good care of it. His local bike store recommends using about a teaspoon of oil to clean the chain every 300 miles. If Joseph rides an average of 200 miles per month, how many months should he expect a 4-fluid-ounce bottle of oil to last?
Answer:
The answer is 36
Step-by-step explanation:
PLZ HELP IWILL GIVE BRAINLIESTTT
Answer:
Choice B
A = b x h
Step-by-step explanation:
In other words the area of a parallelogram is the base times height
Nationwide Insurance would like to perform a chi-square test to investigate whether a difference exists in the proportion of male and female teenagers who text while they drive. A random sample of 80 male teenagers found that 50 indicated they texted while driving. A random sample of 120 female teenagers found that 65 indicated they texted while driving. The degrees of freedom for the chi-square critical value is ________.
Answer:
1
Step-by-step explanation:
There are 2 categories male and female and 1 attribute those who text during driving so the number of cells is 2*1= 2
And degrees of freedom is found by subtracting 1 from k= k-1= 2-1= 1 where k is the number of the categories
The degrees of freedom for this chi square test of proportions is 1
The critical value for ∝= 0.05 is .χ²≥ χ²(0.05,1)= 3.84
The critical value for ∝= 0.01 is .χ²≥ χ²(0.05,1)= 2.71
PLEASE HELP ILL DO ANYTHING
Answer:
i took this test along time ago 3,1,1
Find the volume of the following cylinder in cubic inches
Answer:
Option (1)
Step-by-step explanation:
Volume of a cylinder is given by the formula,
V = πr²h
Here, V = Volume
r = Radius of the circular base
h = Height of the cylinder
From the picture attached,
r = 8 in.
h = 0.5 in.
By substituting these values in the formula,
V = π(8)²(0.5)
= 32π
= 32(3.14)
= 100.48 in³
Therefore, Option (1) will be the correct option.
An auto assemply worker requires 4 electrical fuses for each vehicle. The supplier of the fuses has informed the plant manager that 5% of all the fuses they produce are defective. Assume that the assembly worker selects the 4 fuses for any vehicle at random and independently of each other. If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses
Answer:
[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses
Step-by-step explanation:
For each fuse, there are only two possible outcomes. Either they are defective, or they are not. The probability of a fuse being defective is independent of any other fuse. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of a vehicle having all defective fuses:
5% of fuses are defective, which means that [tex]p = 0.05[/tex]
A vehicle has 4 fuses, which means that [tex]n = 4[/tex].
This probability is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.(0.05)^{4}.(0.95)^{0} = 0.00000625[/tex]
If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses?
For each vehicle, 0.00000625 probability of having all defective fuses. For 2:
[tex](0.00000625)^2 = 3.9 \times 10^{-11}[/tex]
[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses
Keri pours 6 glasses of juice. Each glass holds 34 cup. How many cups of juice does Keri pour?
Answer:
3/4x6=4.5
Step-by-step explanation:
If Keri pours 6 glasses that each contain 3/4 cups than If she where to pour all of them than It would be 3/4*6 to represent the amount of cups to glasses and then the answer would be 4.5 C.
In all glasses combined their will be 4.5 cups of water!
Fractions are written as a ratio of two integers. If Keri pours 6 glasses of juice, she must have poured 4.5 cups of juice
Ratio and proportions
Fractions are written as a ratio of two integers.
If Keri pours 6 glasses of juice and each glass contains 3/4 cup, hence the total cups of juice poured is expressed as:
Total cups of juice poured = 3/4 * 6
Total cups of juice poured = 4.5
Hence if Keri pours 6 glasses of juice, she must have poured 4.5 cups of juice
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Sara claims that the number of pages she has read in her book is proportional to the number of minutes that she has spent reading. She collects several data points to prove her claim and expresses the data points as (x, y) coordinate pairs.
Which of the following actions could Sara take to prove her claim? Select two that apply.
A. Place the coordinate pairs in a table and show that they create equivalent ratios.
B. Use the coordinate pairs to show that an equation of the form y = x + c can be written.
C. List out the coordinate pairs and show that each y–value is a multiple of its associated x–value.
D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.
Answer:
B. Use the coordinate pairs to show that an equation of the form y = x + c can be written. C. List out the coordinate pairs and show that each y–value is a multiple of its associated x–value. D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.
Step-by-step explanation:
Answer:
D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.
hope it helps have a nice dayyy
ILL GIVE BRAINLEST, the table shows how the amount of water in a bathtub changed while the faucet was on. at what average rate did the bathtub fill with water
Segments AB and CD coincide.
Vinay concluded: "Segments AB and CD have no angles with the same measurement, so they are not congruent."
What error did Vinay make in his conclusion?
Choose 1 answer:
A. These segments are mapped onto each other, so they are congruent
B. The segments are not congruent, because no transformations were used
C. There is no error. This is a correct conclusion
Answer:
A
Step-by-step explanation:
The correct reason should be These segments are mapped onto each other, so they are congruent.
What is Congruency.In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
We have the statements as
Segments AB and CD coincide
Now, Vinay concluded: "Segments AB and CD have no angles with the same measurement, so they are not congruent."
As per Vinay the lines would never able to coincide if they are not congruent.
So, the correct reason should be These segments are mapped onto each other, so they are congruent.
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Which graph represents y=3sqrt x+6-3?
Answer:
graph for y=3sqrt x+6-3
Step-by-step explanation:
hope this helps :]
HELP ME PLEASE I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!:)
Christa went shopping for back-to-school clothes. Before the tax was added on, her total was $176. If the sales tax is 6%, what was the total amount she paid? A) $10.56 B) $105.60 C) $126.56 D) $186.56
Answer:
Christa went shopping for back to school clothes.
She paid a total of 176 dollars before the tax was added on.
Now, how much will she be paying if the sales tax is 6% what was the total amount she paid.
Solutions:
=> 176 dollars * 6% to get the amount
=> 6% / 100% = 0.06
=> 176 dollars * .06 = 10.56
Now, let’s add to get the answer
=> 176 dollars + 10.56 dollars = 186.56 dollars
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZZ
Answer:
it should be d $186.56
Step-by-step explanation:
this should help you
Find the area. Of the triangle
Answer:
area = 42.8 in²
Step-by-step explanation:
Height = 7 1/8 in
area = 7 1/8 x 12 x 1/2 = 42.8 in²
of you would Write a decimal that represents the value of one $1 bill and 5 quarters how would you write that?
HURRY!!!!!!!
Given the number of times I walk around the lake. Find the number of miles I walked around the lake. Note: it is 2.6 miles around the lake, and if I start walking a lap, I must finish the lap because I have to get back to my car. I had to walk ON THE PATH, and cannot go backwards, only forwards. I won't deviate off the path, so it will ALWAYS take 2.6 miles to go around!
Write the function rule, where x is the independent variable, and y is the dependent variable.
a
x=2.6y
b
y=2.6x
c
x=2.6+y
d
y=2.6+x
Answer:
A. x= 2.6y
Explanation
Find the area of the rectangle. 7.4 in. , 4.5 in.