Answer:
The Greatest Common Factor (GCF) for 63 and 99, notation CGF(63,99), is 9. Explanation: The factors of 63 are 1,3,7,9,21,63; The factors of 99 are 1,3,9,11,33,99.
Answer:
9
Step-by-step explanation:
9 x 11 = 99
9 x 7 = 63
help, short on time rn
Two angles are said to be complementary if the some of those two angles is equal to 90°
Given : ∠WXY and ∠YXZ are complementary angles
⇒ ∠WXY + ∠YXZ = 90°
Given : ∠WXY = (2x + 5)° and ∠YXZ = (8x - 5)°
⇒ (2x + 5)° + (8x - 5)° = 90°
⇒ 10x = 90°
⇒ x = 9°
Substituting the value x = 9° in angles ∠WXY and ∠YXZ, we get :
⇒ ∠WXY = 2(9) + 5 = 18 + 5 = 23°
⇒ ∠YXZ = 90° - 23° = 67°
NEED HELP DUE IN 2 MINUTES!!!!
A cube has a volume of 64 cubic feet. What is the length of one side of the cube in feet?
Answer:
4 feetStep-by-step explanation:
s³ = 64
Take the cube root of both sides
s = 4
A train can accommodate at most 80 passengers, economy class (x) and firstclass (y) passengers. To avoid making a loss the train must carry at least ten
economy class passengers and at least twenty first class passengers. Due to the
number of complementary items the first-class passengers receive, the number
of first-class passengers should be at most three times the number of economy
class passengers.
First class tickets cost N$5000 while economy class tickets cost N$3000.
i) State/ describe what the variables x and y represent.
ii) State the objective function.
iii) List the constraints.
Answer:
Step-by-step explanation:
1) (x) is economy class and (y) is first class
2) The objective function is to avoid making a loss in prophet making the train have the avalibility for 10 economy class passengers and at least 20 first class passengers.
3) The constraints are that there are only 10 spots for economy class and at least 20 for first-class passengers.
Wgat is 5/6 of an hour and 1/3 of an hour and hiw did you get the final answer
Answer:
5/6 minutes x 60 = 50
1/3 minutes x 60 = 20
I got my answer by multiplying by 60 since there are 60 min in one hour.
Using the keyword 'of" it means to multiply so multiply your two given numbers.
The diagram shows the locations of Gabe’s house, a library, and a gymnasium. Each unit on the grid represents 1 kilometer.
Part A: What is the distance between Gabe’s house and the library?
A. 4 kilometers
B. 5 kilometers
C. 3 kilometers
D. 6 kilometers
The distance between gab's house and library will be 4km
What is Distance?
Distance is a numerical measurement of how far apart object or point are or it may also refer as the physical length.
From graph we can see that Gabe's house is 3 km on positive x axis in respect to the origin
Whereas library is 1 km apart from origin on negative x axis
Since we are calculating distance , we simply add both the above mentioned distances irrespective of their direction since distance is a scaler quantity.
Distance between Gab's house and library will be :
D = |3| + |-1|
D = 3+1 = 4 km option A)
Learn more about distance
https://brainly.com/question/15172156?referrer=searchResults
#SPJ2
The point G(-5, -4) is translated 1 unit left. What are the coordinates of the resulting point, G′?
The movie theater sells adult tickets for $10 and kids
tickets for $8. They sold $176 worth of tickets last Tuesday with a total of 20 ticket sales.
Use the graph to determine the number of adult tickets
and kids tickets sold.
number of adult tickets:
number of kids tickets:
Answer:
On Tuesday 8 adult tickets and 12 child tickets were sold.
Step-by-step explanation:
Since the movie theater sells adult tickets for $ 10 and kids tickets for $ 8, and they sold $ 176 worth of tickets last Tuesday with a total of 20 ticket sales, to determine how many tickets of each type were sold, the following calculation must be performed:
10 - 8 = 2
20 x 8 = 160
176 - 160 = 16
16/2 = 8
8 x 10 + 12 x 8 = X
80 + 96 = X
176 = X
Therefore, on Tuesday 8 adult tickets and 12 child tickets were sold.
One pile of cards contains the number 2 through 6 in red hearts. A second pile of cards contains the numbers 4 through 8 in black spades. Each pile of cards has been randomly shuffled. If one card from each pile is chosen at the same time, what is the probability that the sum will be less than 12?
Answer:
19/25.
Step-by-step explanation:
The total possible number of combinations of 2 cards from the 2 piles = 5*5 = 25.
Possible ways to get sum of 12 or more =
4,8 5,7 5,8 6,6 6,7 6,8 = 6 ways.
So the number of ways to get sum of < 12 = 25 - 6 = 19.
So the required probability = 19/25.
Answer:
I think the probability is 19 out of 25 = 19/25, but I am not sure so please check by step by step solution.
Step-by-step explanation: 5 29 12 38
Hearts 2, 3, 4, 5, 6
Spades 4, 5, 6, 7, 8
Find the probability that the sum of any two randomly cards is less than 12.
I count 5² = 25 possibilites
I found 5 + 5 + 4 + 3 + 2 combinaitons of cards whose sum is less than 12
sum of 19 combinations less than 12
19 /25 is the probability of the sum being less than 12
hearts.... + spade < 12
the 2 + any shade 5
the 3 + any spade 5
the 4 + the four lowest spades 4
the 5 + the three lowest spades 3
the 6 + the four lowest spades 2
A sphere has a radius of 9 in, which means its volume is 972π in3. The sphere is dilated by 2⁄3. What is the volume of the new sphere?
Answer:
08-Oct-2009 — If a spherical balloon has a volume of 972 pi cubic centimeters, what is ... is 4.pi.r^2 (its area remember not volume) as 4/3.pi.r^3=972pi r=9 ... and it is good to know the squares of the next 10 numbers.
Answer:
I have this same question on my math test.
Since the radius is 9, the diameter is 18.
The shape is being dilated by 2/3, so the new radius is 6.
Volume formula: V = 4/3πr^3
So now we plug in the values.
V = 4/3 x π x (6)^3
V = 4/3 x π x 216
V = 288π
If the answers do not have the pi symbol present, then it has been multiplied into the answer.
288 x 3.14 = 904.32
The new volume of the sphere is 904.32 in^3
Marking brainliest please help me
Answer:
I think B
Step-by-step explanation:
Not sure but seems like so. Hope I helped U :)
10. Last year, a state university received 3.560 applications from boys. Of
those applications, 35% were from boys who lived in other states. Part A
How many applications did the university receive from boys who lived in
other states? Show how you found the answer for full credit
Answer:
1.246
Step-by-step explanation:
First, you divide 3.560 by 100%, which gives you 3.56. Now since you have the number of applications received each, you now multiply 3.56 by 35%, or 0.35, which then gives you 1.246.
Drag the numbers to complete the following statements.
Numbers may be used more than once.
Answer:
Whats the question?
Where's the numbers?
........
Can someone help me with this please ?
Answer:
I think it’s A.
Step-by-step explanation:
For each expression in the table, select which number line model, If any, can be used to represent the expression. Select all appropriate cells in the
table.
Answer:
I don’t know
Step-by-step explanation:
You didn’t attach a photo lol
What is the area of this composite figure?
A) 130 in2
B) 280 in2
C) 436 in2
D) 616 in2
Answer:
See explanation. I attached a photo to help visualize and make it easier to understand, but tell me if handwriting was fine :)
Also, C) 436 in² is correct :)
Step-by-step explanation:
the answer is C
Step-by-step explanation:
if we take the 15 from 28
13 will be left
so 13×22=286
and 15×5=75
15×5=75
150+286=436
hopefully its helpful
ASCD is a parallelogram. Determine whether each statement must be true. Select Yes
or No for each statement
B
Answer:
angel DAC=angle BAC because opposite angle of parallelogram is equal
Can I please get some help on this pretty please
Answer:
Score with 6 questions wrong :
= 40 - (6×2)
= 40 - 12
= 28
Score with x questions wrong :
= 40 - (x×2)
= 40 - 2x
no link nor file pease help im crying about these questions
Answer:
7
Step-by-step explanation:
10.5*2/3= 3.5*2=7
Answer:
Step-by-step explanation:
What’s the answer for this please I need it
Step-by-step explanation:
each week kyle saves $5.00
How do I solve for n and m using special right triangle rules.
Answer:
Because the triangle is a 45-45-90 triangle, the n and m should be the same lengths. For these types of triangles, the hypotenuse is [tex]x\sqrt{2}[/tex] and the side lengths are x. Because we are given the length of the hypotenuse, we need to find the x-value. The equation should be 6=[tex]x\sqrt{2}[/tex]. Simplify to get x=[tex]3\sqrt{2}[/tex]. So, the length of n and m should both be [tex]3\sqrt{2}[/tex].
Need help fast will give brainiest
Answer:
[tex]\text{1. }\triangle IJH\cong \triangle LKM, \\\text{2. }\triangle RST\cong \triangle YXZ, \\\text{3a. Reflexive Property}, \\\text{3b. ASA (Angle-Side-Angle)}[/tex]
Step-by-step explanation:
ASA (Angle-Side-Angle) is a proof of congruence that states if two triangles share two angles and the side between those two angles, the triangles are congruent. In problems 1 and 2, the following demonstrate this:
[tex]\text{1. }\triangle IJH\cong \triangle LKM, \\\text{2. }\triangle RST\cong \triangle YXZ[/tex]
In problem 3, [tex]\overline{IJ}\cong \overline{IJ}[/tex] is known in geometry as the Reflexive Property. Because of this, the two triangles in the diagram for problem 3 now share two angles and the side between them, thus they are congruent from ASA (Angle-Side-Angle).
8
The median of 3 numbers is 7. If one of the numbers is 10, which of the following is a possible value for one of
the other numbers?
0/
6
8
ОООО
13
17
Review Questions
Mathematics
9514 1404 393
Answer:
(a) 6
Step-by-step explanation:
The median is the middle number when they are sorted into order. If one of the numbers is 10, the remaining number must be any number less than 7. Of the offered choices, the only one less than 7 is 6.
__
The three numbers are 6, 7, 10.
you have a list of 600 random, normally distributed numbers with a mean of 10 and a standard deviation of 2.Which of these statements is true?
Answer:
c
Step-by-step explanation:
right on plato
(PLEASE HELP! NO SPAM!) On the following triangle, sin〖θ=15/17〗. What is cosθ?
Answer:
Cos(θ) = 8 / 17
Step-by-step explanation:
Cos = Adjacent / Hypotenuse
Side that is adjacent to θ = 8
hypotenuse of the triangle = 17
Cos(θ) = 8 / 17
Hope this helps!
use the double-angle formulas for sine and cosine to verify these identities:
tan(2theta) = 2tan(theta) / 1 - tan^2 (theta)
sin
(
2
θ
)
=
2
(
3
5
)
(
−
4
5
)
=
−
24
25
Write the double-angle formula for cosine.
\displaystyle \cos \left(2\theta \right)={\cos }^{2}\theta -{\sin }^{2}\thetacos(2θ)=cos
2
θ−sin
2
θ
Again, substitute the values of the sine and cosine into the equation, and simplify.
)Answer:
In the previous section, we used addition and subtraction formulas for trigonometric functions. Now, we take another look at those same formulas. The double-angle formulas are a special case of the sum formulas, where \displaystyle \alpha =\betaα=β. Deriving the double-angle formula for sine begins with the sum formula,
\displaystyle \sin \left(\alpha +\beta \right)=\sin \alpha \cos \beta +\cos \alpha \sin \betasin(α+β)=sinαcosβ+cosαsinβ
If we let \displaystyle \alpha =\beta =\thetaα=β=θ, then we have
Deriving the double-angle for cosine gives us three options. First, starting from the sum formula, \displaystyle \cos \left(\alpha +\beta \right)=\cos \alpha \cos \beta -\sin \alpha \sin \betacos(α+β)=cosαcosβ−sinαsinβ, and letting \displaystyle \alpha =\beta =\thetaα=β=θ, we have
Using the Pythagorean properties, we can expand this double-angle formula for cosine and get two more interpretations. The first one is:
Similarly, to derive the double-angle formula for tangent, replacing \displaystyle \alpha =\beta =\thetaα=β=θ in the sum formula gives
\displaystyle \begin{array}{c}\tan \left(\alpha +\beta \right)=\frac{\tan \alpha +\tan \beta }{1-\tan \alpha \tan \beta }\\ \tan \left(\theta +\theta \right)=\frac{\tan \theta +\tan \theta }{1-\tan \theta \tan \theta }\\ \tan \left(2\theta \right)=\frac{2\tan \theta }{1-{\tan }^{2}\theta }\end{array}
tan(α+β)=
1−tanαtanβ
tanα+tanβ
tan(θ+θ)=
1−tanθtanθ
tanθ+tanθ
tan(2θ)=
1−tan
2
θ
2tanθ
A GENERAL NOTE: DOUBLE-ANGLE FORMULAS
The double-angle formulas are summarized as follows:
\displaystyle \sin \left(2\theta \right)=2\sin \theta \cos \thetasin(2θ)=2sinθcosθ
\displaystyle \tan \left(2\theta \right)=\frac{2\tan \theta }{1-{\tan }^{2}\theta }tan(2θ)=
1−tan
2
θ
2tanθ
HOW TO: GIVEN THE TANGENT OF AN ANGLE AND THE QUADRANT IN WHICH IT IS LOCATED, USE THE DOUBLE-ANGLE FORMULAS TO FIND THE EXACT VALUE.
Draw a triangle to reflect the given information.
Determine the correct double-angle formula.
Substitute values into the formula based on the triangle.
Simplify.
EXAMPLE 1: USING A DOUBLE-ANGLE FORMULA TO FIND THE EXACT VALUE INVOLVING TANGENT
Given that
and \displaystyle \thetaθ is in quadrant II, find the following:
\displaystyle \sin \left(2\theta \right)sin(2θ)
\displaystyle \cos \left(2\theta \right)cos(2θ)
\displaystyle \tan \left(2\theta \right)tan(2θ)
SOLUTION
If we draw a triangle to reflect the information given, we can find the values needed to solve the problems on the image. We are given \displaystyle \tan \theta =-\frac{3}{4}tanθ=−
4
3
, such that \displaystyle \thetaθ is in quadrant II. The tangent of an angle is equal to the opposite side over the adjacent side, and because \displaystyle \thetaθ is in the second quadrant, the adjacent side is on the x-axis and is negative. Use the Pythagorean Theorem to find the length of the hypotenuse:
Now we can draw a triangle similar to the one shown in Figure 2.
Diagram of a triangle in the x,y-plane. The vertices are at the origin, (-4,0), and (-4,3). The angle at the origin is theta. The angle formed by the side (-4,3) to (-4,0) forms a right angle with the x axis. The hypotenuse across from the right angle is length 5.
Figure 2
Let’s begin by writing the double-angle formula for sine.
\displaystyle \sin \left(2\theta \right)=2\sin \theta \cos \thetasin(2θ)=2sinθcosθ
We see that we to need to find \displaystyle \sin \thetasinθ and \displaystyle \cos \thetacosθ. Based on Figure 2, we see that the hypotenuse equals 5, so \displaystyle \sin \theta =\frac{3}{5}sinθ=
. Substitute these values into the equation, and simplify.
Thus,
Solution
EXAMPLE 2: USING THE DOUBLE-ANGLE FORMULA FOR COSINE WITHOUT EXACT VALUES
Use the double-angle formula for cosine to write \displaystyle \cos \left(6x\right)cos(6x) in terms of \displaystyle \cos \left(3x\right)cos(3x).
SOLUTION
c
Analysis of the Solution
This example illustrates that we can use the double-angle formula without having exact values. It emphasizes that the pattern is what we need to remember and that identities are true for all values in the domain of the trigonometric function.
Using Double-Angle Formulas to Verify Identities
Establishing identities using the double-angle formulas is performed using the same steps we used to derive the sum and difference formulas. Choose the more complicated side of the equation and rewrite it until it matches the other side.
EXAMPLE 3: USING THE DOUBLE-ANGLE FORMULAS TO ESTABLISH AN IDENTITY
Establish the following identity using double-angle formulas:
\displaystyle 1+\sin \left(2\theta \right)={\left(\sin \theta +\cos \theta \right)}^{2}1+sin(2θ)=(sinθ+cosθ)
2
θ
)
Step-by-step explanation:
12 bars of soap for $8.69
The mean weight of female aerobics instructors in a certain city is less than 136 lbs. Express the null and alternative hypotheses in symbolic form for this claim.
Answer:
Step-by-step explanation:
We are given the claim.
Claim: The mean weight of male aerobics instructors in a certain city is more than 182 lbs.
Population mean = 182 lbs
The null hypothesis will state that the sample mean is less than or equal to the population mean 182 lbs.
The alternate hypothesis will state that mean weight of male aerobics instructors in a certain city is more than 182 lbs.
answer I credits: ChiKesselman solved it
V
Answer:
H0 : μ ≤ 186
H1 : μ > 186
Step-by-step explanation:
The null hypothesis and hypothesis differ in that the null aligns with the claim or value of the population parameter. The alternative hypothesis tries to negate the null hypothesis by trying to displace the claim set by the parameter based on the average or mean value of the sample.
Since the claim Given by the population mean is that mean weight is less Than 186 ; then this will be the null hypothesis and an opposite statement will be declared as the alternative.
1. two lines meet at a point. set up and solve an equation to find the value of x
2. three lines meet. set up and solve an equation to find the value of a. is your answer reasonable explain how you know.
3. two lines meet at a point that is also the endpoint of two rays. set up and solve an equation to find the values of a and b
Answer: 1) 57 degrees
2) 50 degrees
3) a- 58 degrees, b- 32 degrees
Step-by-step explanation:
78, 52, and the number inbetween = 180
if u find the inbetween number it will be vertically opposite to a
HELP ME PLEASEEEEEEEEEEEE
Answer:
(-4, 2)
Step-by-step explanation:
A population has a mean of 180 and a standard deviation of 24. A sample of 100 observations will be taken. The probability that the mean from that sample will be between 183 and 186 is _____.
Answer:
The probability that the mean from that sample will be between 183 and 186 is 0.0994 = 9.94%.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
A population has a mean of 180 and a standard deviation of 24.
This means that [tex]\mu = 180, \sigma = 24[/tex]
A sample of 100 observations will be taken.
This means that [tex]n = 100, s = \frac{24}{\sqrt{100}} = 2.4[/tex]
The probability that the mean from that sample will be between 183 and 186 is:
This is the pvalue of Z when X = 186 subtracted by the pvalue of Z when X = 183. So
X = 186
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{186 - 180}{2.4}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a pvalue of 0.9938
X = 183
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{183 - 180}{2.4}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a pvalue of 0.8944
0.9938 - 0.8944 = 0.0994
The probability that the mean from that sample will be between 183 and 186 is 0.0994 = 9.94%.