WX is a segment bisector
WX is a perpendicular bisector
W is the midpoint of a segment in the diagram
COS (1-x) X sin x O A. True B. False
Given:
\(\cos(\frac{\pi}{2}-x)=\sin x\)Required:
To find whether the given statement is true or false.
Explanation:
Let,
\(\cos(A-B)=\cos A\cos B+\sin A\sin B\)Therefore,
\(\cos(\frac{\pi}{2}-x)=\cos\frac{\pi}{2}\cos x+\sin\frac{\pi}{2}\sin x\)But
\(\begin{gathered} \cos\frac{\pi}{2}=0 \\ \\ \sin\frac{\pi}{2}=1 \end{gathered}\)So,
\(\begin{gathered} \cos(\frac{\pi}{2}-x)=0+(1)\sin x \\ \\ =\sin x \end{gathered}\)Final Answer:
The given statement is TRUE.
\(\cos(\frac{\pi}{2}-x)=\sin x\)what is the Volume, in cubic feet, of a cylinder with a height of 3 feet and a base radius of 2 feet, to the nearest tenths place?
Answer: 37.7 cubic ft
Step-by-step explanation:
\(V=\pi r^{2} h\\\\V=\pi (2^{2})(3)\\\\V=12\pi \\\\\\V \approx \boxed{37.7 \text{ ft}^{3}}\)
You move left 1 unit. You end at (1, 4). Where did you start?
Answer:
(0,4)
Step-by-step explanation:
In the graph above, the coordinates of the vertices of QPR are Q(3, 0), P(5, 6), and R(7, 0). If AQPR is reflected across
the x-axis to create Q'P'R', find the coordinates of R.
A. (-7,0)
B. (3,0)
C. (5,-6)
D. (7,0)
Answer:
D. (7, 0)
Step-by-step explanation:
The rule for a reflection over the y-axis is (x, y) → (x, -y)
This means that the x-values stay the same while the y-values change.
Q(x, y) → (x, -y)
Q(3, 0) → (3, 0)
Q'(3, 0)
P(x, y) → (x, -y)
P(5, 6) → (5, -6)
P'(5, -6)
R(x, y) → (x, -y)
R(7, 0) → (7, 0)
R'(7, 0)
Therefore, the correct answer is D.
Hope this helps!
The population of a rural town is 250 people. It is expected that the population of the town will double every decade. Which function represents p(d), the population
after d decades?
a. p(d) = 2^d + 250
b. p(d) = 2(250)^d
c. p(d) = 250(2)^d
d. p(d) = 2d + 250
What is the least six digit number in which the sum of the digits equal 33?
Answer:
The least 6-digit number in which the sum of the digits equal 33 is 100001.
Step-by-step explanation:
The least 6-digit number in which the sum of the digits equal 33 is 100001.
What is the least 6-digit number?
A 6-digit number in which the sum of the digits equals 33 must have digits that add up to 33. To create the least 6-digit number with this property, it is best to use the smallest digits possible while still adding up to 33.
This can be achieved by using the digits 0, 1, 2, and 3. The least 6-digit number that can be created using these digits and adding up to 33 is 100001, where the sum of the digits is 1 + 0 + 0 + 0 + 0 + 1 = 2.
Therefore the least 6-digit number is 100001.
Explain :Multiply: 23.2 x 0.14 ___________________
As a result, 23.2 x 0.14 equals 3.248.
What does math's multiple mean?One of the four fundamental math processes, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual adding of sets of identical size.
To multiply 23.2 and 0.14,
23.2
x 0.14
---------
32.48 (0.2 x 0.14 = 0.028, write down 8 and carry over 2)
+ 232.0 (3 x 0.14 = 0.42, add carried over 2 to get 4, write down 0 and carry over 4)
--------
3.248 (the final answer)
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The lengths of the three sides of a triangle (in centimeters) are consecutive odd
integers. If the perimeter is 45 centimeters, find the value of the shortest of the three
side lengths.
Answer:
13, 15,17
Step-by-step explanation:
Let x = the first number
Let x + 2 = the second number
Let x + 4 = the third number
Consecutive means in order like 1,2,3 or 20,21,22. Consecutive odd means that you want three numbers in order that are odd. Each number would be 2 more than the number before. For example 5 + 2 = 7. We would have to add 4 to 5 to find the next consecutive odd number.
x + (x + 2) + (x +4) = 45 I put the numbers in parentheses so you could see the first number plus the second number plus the third number equals 45
x + x+ 2 + x+ 4 = 45 Combine like terms
3x + 6 = 45 Subtract 6 from both sides of the equation.
3x = 39 Divide both sides by 3
x = 13
Add 2 to that to get the next odd number.
Add 4 to 13 to get the third odd number.
Answer: 13 cm
Step-by-step explanation:
Let the value of the shortest of the three side lengths is x.
Since the three sides of a triangle are consecutive odd
integers, hence: x, x+2, x+4.
Thus,
\(P=x+(x+2)+(x+4)\\45=x+x+2+x+4\\45=3x+6\\45-6=3x+6-6\\39=3x\\\)
Divide both parts of the equation by 3:
\(13\ cm=x\)
arie is driving from the usa into canada. she notices that all of the canadian speed limit signs are in kilometers per hour; her odometer only displays miles per hour. how many kilometers per hour is she driving when the odometer reads 19 miles per hour?
is it possible for a connected graph with 7 vertices and 10 edges to be drawn so that no edges cross and create 4 faces? explain.
Yes, it is possible for a connected graph with 7 vertices and 10 edges to be drawn so that no edges cross and create 4 faces.
A planar graph is a graph that can be drawn in a plane without any edges crossing. According to Euler's formula for planar graphs, V - E + F = 2, where V represents vertices, E represents edges, and F represents faces. In this case, we have V = 7 and E = 10, and we want to find out if there can be a graph with F = 4.
Substituting the values into Euler's formula, we get:
7 - 10 + F = 2
Solving for F, we find:
F = 2 - 7 + 10
F = 5 - 7
F = 4
Since the formula holds true, it is possible to draw a connected graph with 7 vertices, 10 edges, and 4 faces without any edges crossing.
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4.if a man has six different sportshirts and four different pairs of slacks, how many different combinations can he wear?
The man can wear 15 different outfit combinations by mixing and matching his six different sport shirts and four different pairs of slacks.
Combination is a way of counting the number of different groups of items that can be selected from a larger set without regard to the order in which they are selected.
In this case, the man has six different sport shirts and four different pairs of slacks, and he wants to know how many different outfit combinations he can wear. We can use the formula for combinations to calculate the number of possibilities.
The formula for combinations is:
ⁿCₓ = n! / (x! * (n - x)!)
Where n is the total number of items, x is the number of items being selected, and the exclamation mark (!) represents the factorial of a number (i.e., the product of all positive integers up to that number).
Using this formula, we can calculate the number of different combinations the man can wear as follows:
Number of sport shirts (n) = 6
Number of slacks (x) = 4
Number of combinations = ⁶C₄ = 6! / (4! * (6 - 4)!)
= (6 * 5 * 4 * 3 * 2 * 1) / [(4 * 3 * 2 * 1) * (2 * 1)]
= 15
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a−9=6 addition equation.
Answer:
15
Step-by-step explanation:
Answer: *A=15* is the answer
Step-by-step explanation:
Hope this helps!
If arrivals occur at a mean rate of 3.6 events per hour, the exponential probability of waiting more than 0.5 hours for the next arrival is
A. .2407 B. .1653 C. .1222 D. .5000
The exponential probability of waiting more than 0.5 hours for the next arrival can be calculated using the exponential distribution formula. Given that the mean rate of arrivals is 3.6 events per hour.
we can use the parameter λ = 3.6 in the exponential distribution equation.The exponential probability distribution function is given by P(x > t) = e^(-λt), where x represents the waiting time and t is the given time threshold.
In this case, we need to find P(x > 0.5), so we substitute t = 0.5 into the formula: P(x > 0.5) = e^(-3.6 * 0.5).
Calculating this expression yields approximately 0.1653.
Therefore, the correct answer is B. .1653, which represents the exponential probability of waiting more than 0.5 hours for the next arrival.
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I need help with these 3 questions plzzz.
Answer:
6. No. See explanation below.
7. 18 months
8. 16
Step-by-step explanation:
6. To rewrite a sum of two numbers using the distributive property, the two numbers must have a common factor greater than 1.
Let's find the GCF of 85 and 99:
85 = 5 * 17
99 = 3^2 + 11
5, 3, 11, and 17 are prime numbers. 85 and 99 have no prime factors in common. The GCF of 85 and 99 is 1, so the distributive property cannot be used on the sum 85 + 99.
Answer: No because the GCF of 85 and 99 is 1.
7.
We can solve this problem with the lest common multiple. We need to find a number of a month that is a multiple of both 6 and 9.
6 = 2 * 3
9 = 3^2
LCM = 2 * 3^2 = 2 * 9 = 18
Answer: 18 months
We can also answer this problem with a chart. We write the month number and whether they are home or on a trip. Then we look for the first month in which both are on a trip.
Month Charlie Dasha
1 home home
2 home home
3 home home
4 home home
5 home home
6 trip home
7 home home
8 home home
9 home trip
10 home home
11 home home
12 trip home
13 home home
14 home home
15 home home
16 home home
17 home home
18 trip trip
Answer: 18 months
8.
First, we find the prime factorizations of 96 an 80.
96 = 2^5 * 3
80 = 2^4 *5
GCF = 2^4 = 16
Answer: 16
If a fair die is rolled 7 times, what is the probability, to the nearest thousandth, of getting exactly 3 fours?
The probability of getting exactly 1 three, to the nearest thousandth is 0.347.
We have,
Binomial distribution is the distribution of a random variable X for which there are only two possibilities. The probability p for the success and the probability of 1-p for the failure, which consist of n trials.
The binomial distribution has the formula,
P(x) = ⁿCₓ pˣ (1-p)ⁿ⁻ˣ
where x : number of times for a specific outcome within n trials
p : probability of success in each trial
n : number of trials
Given that a fair die is rolled 3 times.
Here, n = 3, x = 1
p = probability of getting three for 1 trial = 1/6
1 - p = 1 - 1/6 = 5/6
P(1) = ³C₁ (1/6)¹ (5/6)³⁻¹
= 0.347
Hence the probability of getting exactly 1 three is 0.347.
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complete question:
If a fair die is rolled 3 times, what is the probability, to the nearest thousandth, of getting exactly 1 three?
HELP ME ASAPPP
Write the standard equation of a circle with center (2, 1) and radius 8.
Answer:
C
=
(
a
,
b
)
the center coordinates of circle
a
=
2
,
b
=
−
1
,
r
=
8
Step-by-step explanation:
please help!
what is the slope of the line shown below?
what is the area of a circle with a diameter of 4cm
please respond with full work too! pls and ty
{for a BIG test}
for algebra topic: reflections
Answer:
Are of a Circle = pie x radius squared
Step-by-step explanation:
A = 3.14*2squared
A = 3.14*4
A = 12.56
how do u doo thiss?? :)
\(\sf (x + a)^2 + b = x^2 + 10x - 8 \\\)
Comparing coefficients, we can equate the corresponding terms:
\(\sf 2ax = 10x \\\) (coefficient of x terms)
\(\sf a^2 + b = -8 \\\) (constant term)
From the first equation, we can determine the value of \(\sf a \\\):
\(\sf 2ax = 10x \\\)
\(\sf 2a = 10 \\\) (canceling out x from both sides)
\(\sf a = \frac{10}{2} \\\)
Simplifying further:
\(\sf a = 5 \\\)
Now, we can substitute the value of \(\sf a \\\) into the second equation:
\(\sf a^2 + b = -8 \\\)
\(\sf 5^2 + b = -8 \\\)
\(\sf 25 + b = -8\)
Solving for \(\sf b \\\):
\(\sf b = -8 - 25 \\\)
\(\sf b = -33 \\\)
Therefore, the values of \(\sf a \\\) and \(\sf b \\\) are \(\sf 5 \\\) and \(\sf -33 \\\), respectively.
Thus, the expression \(\sf x^2 + 10x - 8 \\\) can be written in the form \(\sf (x + 5)^2 - 33 \\\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Answer: a = 5
b = -33
Step-by-step explanation:
They want you to put the quadratic in vertex form. You need to complete the square to do this.
x² + 10x - 8 >Make space to complete square
x² + 10x - 8 >Take middle term 10, divide by 2 then square
that \((\frac{10}{2}) ^{2} = 25\)
Use +25 to fill in to complete the square but you
can't just add 25 to an equation, it changes it.
You need to counterbalance it by also
subtract 25. so 25-25= 0 you are not changing
x² + 10x +25 - 8 -25 >Combine the -8 and -25
x² + 10x +25 - 33 >Factor the first 3 terms x² + 10x +25
(x+5)(x+5) -33 >(x+5)(x+5) = (x+5)²
(x+5)² - 33 >this is the form they wanted.
a = 5
b = -33
If a 4x4 matrix A with rows v1, v2, v3, and v4 has determinant det A=-8. Then what is
determinant
v1
6v2+7v4
v3
2v2 + 2v4
I found bunch of different methods trying to solve this. Every method produces different answer. My last attempt at solving this produced -80, however, the homework site says it's incorrect. Please show me and explain how to solve this!
The determinant of the matrix A is -8.
The determinant of a matrix is a scalar value that is computed from the elements of the matrix. The determinant of a 4x4 matrix A can be calculated using the formula:
det A = v1 * (6v2+7v4) * v3 * (2v2 + 2v4)
If the determinant of the matrix A is -8, then we can plug in the values for the determinant and the rows of the matrix into the formula and solve for the unknown values:
-8 = v1 * (6v2+7v4) * v3 * (2v2 + 2v4)
To find the determinant of the matrix, we need to solve for the unknown values of v1, v2, v3, and v4. We can do this by using a system of equations. For example, we can set v1 = 1, v2 = 2, v3 = 3, and v4 = 4 and plug these values into the formula:
-8 = 1 * (6*2+7*4) * 3 * (2*2 + 2*4)
Simplifying the equation gives us:
-8 = 1 * (12+28) * 3 * (4 + 8)
-8 = 1 * 40 * 3 * 12
-8 = 1440
This equation is not true, so we need to try different values for v1, v2, v3, and v4 until we find a set of values that satisfies the equation. One possible solution is:
v1 = 1, v2 = -2, v3 = 1, v4 = 2
Plugging these values into the formula gives us:
-8 = 1 * (6*-2+7*2) * 1 * (2*-2 + 2*2)
-8 = 1 * (-12+14) * 1 * (-4 + 4)
-8 = 1 * 2 * 1 * 0
-8 = 0
This equation is true, so the determinant of the matrix A is -8.
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Can someone help me please?
Answer:
So the answer is 2^-3
Step-by-step explanation:
The principle is the same no matter what the base.
Log_2 (7) + Log_2(3/28) - Log_2(6)
+ means multiply
- means divide
Log_2(7 * 3/28 /6)
Log_2(7/6 * 3/28)
Log_2(1/2 * 1/4) 3 divides into 6 twice. 7 divides into 28 four times
log_2 (1/8)
This is equivalent to 2^(-3)
PLEASE ANSWER QUICKLY ASAP
ANSWER QUESTION A
Answer:
2934.46692
Step-by-step explanation:
if you need to round it,
hundrenths: 2,934.47
tenths: 2,934.5
Thousandths: 2,934.467
Hope this helps!
a political action committee launches a new advertisement aimed at building support for a policy that would expand health insurance to low-income americans through increased government funding. according to zaller’s receive-accept-sample (ras) model, who would be most susceptible to this message?
According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.
The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.
Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.
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How can Milynn determine the radius of the next circle? Explain your answer.
Answer:
Refer to the step-by-step.
Step-by-step explanation:
To determine the radius of a circle, you need to have some information about the circle. There are a few different ways to determine the radius depending on the information available to you. Here are some common methods...
Using the circumference of the circle:The circumference of a circle is the distance around its edge. If you know the circumference of the circle, you can use the formula for circumference to calculate the radius.
\(\boxed{\left\begin{array}{ccc}\text{\underline{Circumference of a Circle:}}\\\\C=2\pi r\rightarrow \boxed{r=\dfrac{C}{2\pi}} \end{array}\right}\)
Using the area of the circle:The area of a circle is the measure of the region enclosed by the circle. If you know the area of the circle, you can use the formula for the area to calculate the radius.
\(\boxed{\left\begin{array}{ccc}\text{\underline{Area of a Circle:}}\\\\A=\pi r^2\rightarrow \boxed{r=\sqrt{\frac{A}{\pi} } } \end{array}\right}\)
Using the diameter of the circle:The diameter of a circle is a straight line passing through the center, and it is equal to twice the radius. If you know the diameter of the circle, you can divide it by 2 to find the radius.
\(\boxed{\left\begin{array}{ccc}\text{\underline{Diameter of a Circle:}}\\\\d=2r\rightarrow \boxed{r=\frac{d}{2} } \end{array}\right}\)
Using coordinate geometry:If you have the coordinates of the center of the circle and a point on the circle's circumference, you can calculate the distance between them using the distance formula. The distance between the center and any point on the circle will be equal to the radius.
\(\boxed{\left\begin{array}{ccc}\text{\underline{The Distance Formula:}}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \end{array}\right}\)
Other methods include:
Using trigonometryUsing a compassUsing a laser distance measureUsing imaging softwareReference another physical objectUsing grid/graph paperPlease help me asap
a. What is the area of the roof that needs to be covered?
b. How many shingles do you need to buy?
A quantity of 84 shingles are required to cover the surface area of 336 square feet of the first roof.
A quantity of 110 shingles are required to cover the surface area of 220 square feet of the second root.
How many shingles and how many area do we need to cover a root?
In this question we must determine both the surface area and the number of shingles to cover two roof configurations as well. In the first case, we calculate the surface area, which is the sum of the area of rectangles:
A = 2 · (8 ft) · (12 ft) + 2 · (6 ft) · (12 ft)
A = 336 ft²
And the number of shingles required to cover the root is:
n = (336 ft²) / (4 ft²)
n = 84
A quantity of 84 shingles are required to cover the surface area of 336 square feet of the first roof.
In the second, we only need to cover the very top surface. The area and the number of shingles are, respectively:
A = 2 · (5 ft) · (22 ft)
A = 220 ft²
n = (220 ft²) / (2 ft²)
n = 110
A quantity of 110 shingles are required to cover the surface area of 220 square feet of the second root.
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Kylie has 5 quarts of orange juice to fill some empty glasses. She fills each glass with 1/4 quart of orange juice. How many glasses does she fill?
Answer:
She fills 5/4 or 1 and 1/4 glass
Step-by-step explanation:
1/4 * 5=5/4
How many hours of flight training must be contained in each Part 141 approved commercial pilot certification course for a helicopter rating
The specific number of hours of flight training required for a commercial pilot certification course for a helicopter rating may vary depending on the regulations of the aviation authority in the relevant jurisdiction.
Therefore, a definitive answer cannot be provided without knowing the specific regulations governing the commercial pilot certification course.
Commercial pilot certification courses for a helicopter rating are regulated by aviation authorities such as the Federal Aviation Administration (FAA) in the United States. These authorities establish the minimum requirements and standards for pilot training programs, including the number of hours of flight training.
The FAA's regulations for helicopter pilot certification under Part 141 of the Federal Aviation Regulations (FARs) outline the minimum flight training requirements. However, the specific number of hours required can vary based on factors such as the type of helicopter, the complexity of the training program, and any additional requirements set by the training institution.
To determine the exact number of flight training hours required for a Part 141 approved commercial pilot certification course for a helicopter rating, it is necessary to refer to the regulations of the specific aviation authority and consult the approved training program or contact a reputable flight training institution for accurate and up-to-date information.
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Draw an area model and then solve using the standard algorithm
Answer:
well if your asking for 21 x 23 its 483
Step-by-step explanation:
Hi if the awnser for the equation is not the anwser your looking for please comment so I can help you with something else and here how you get the anwser you can break 21 and 23 down so 20 +1 and 20+ 3 then these steps or array.
20x20=400
20x1=20
20x3=60
3x1=3
Now add those numbers together you get 483
help me these two questions please
The values are given as;
1. - 2a - 9 = 6a + 15, a = -3
2. 14 + 3n = 5n - 6, n = 10
What is an algebraic expression?An algebraic expression can simply be described as a mathematical expression that composed of arithmetic operations, such as;
ParenthesesAdditionsubtractionBracketDivisionMultiplicationThey are also known to be made up of terms, variables, constants, factors and coefficients.
Given the algebraic expression;
- 2a - 9 = 6a + 15
Let's take the following steps;
collect like terms
- 2a - 6a = 15 + 9
add or subtract like terms
-8a = 24
Make 'a' the subject
a = 24/-8
Find the quotient
a = -3
14 + 3n = 5n - 6
collect like terms
3n - 5n = -6 - 14
-2n = -20
Make 'n' the subject of formula
n = 10
Hence, the values are -3 and 10
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Simplify
4ab³ (2a² — ab – 4ab¹)
Answer:
8\(a^{3}b^{3}\) - 20\(a^{2}b^{4}\)
Step-by-step explanation:
8\(a^{3} b^{3}\) - 4\(a^{2} b^{4}\) - 16\(a^{2}b^{4}\)
8\(a^{3} b^{3}\) - 20\(a^{2}b^{4}\)