Answer:
• m∠1 = 98°
,• m∠2 = 98°
Explanation:
In a kite, the two angles are equal where the unequal sides meet.
Thus, m∠1=m∠2
The sum of the angles in any quadrilateral is 360 degrees.
\(\begin{gathered} 74\degree+90\degree+m\angle1+m\angle2=360\degree \\ Given\text{ that }m\angle1=m\angle2 \\ 164\degree+m\angle1+m\angle1=360\degree \\ 164\degree+2m\angle1=360\degree \\ 2m\angle1=360\degree-164\degree \\ 2m\angle1=196\degree \\ m\angle1=\frac{196\degree}{2} \\ m\angle1=98\degree \end{gathered}\)Therefore, the measure of the numbered angles in the kite is:
• m∠1 = 98°
,• m∠2 = 98°
HELP WILL GIVE BRANLIEST AND EXTRA POINTS!
Answer:
The answer is D
Step-by-step explanation:
You just use this equation to find it
A=2(wl+hl+hw)
What is the difference between a two step equation and a multi-step equation?
Answer:
When solving a multi step equation, you use PEMDAS (parentheses, exponents, multiplication, division, add, subtract), and you also use PEMDAS when solving a multi step inequality. However, inequalities are tricky in the fact that if you multiply or divide by a negative number, you must flip the sign. And while normally there are 1 or 2 solutions to a multi step equation, in the form of x= #, you'll have the same thing, but with an inequality sign (or signs).
A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
hope it helped
Which of the following represents vector vector w equals open angle bracket negative 21 comma negative 20 close angle bracket in trigonometric form?
w = 29(cos 46.603°i + sin 46.603°j)
w = 29(cos 223.603°i + sin 223.603°j)
w = 29(sin 46.603°i + cos 46.603°j)
w = 29(sin 223.603°i + cos 223.603°j)
The vector w in trigonometric form is B. w = 29(cos 223.603°i + sin 223.603°j). Therefore, option B: w = 29(cos 223.603°i + sin 223.603°j) is correct.
To represent a vector in trigonometric form, we need to find the magnitude and angle of the vector. Given the vector w = <-21,-20>, the magnitude can be found using the Pythagorean theorem as:
\(|w| = \sqrt{((-21)^2 + (-20)^2) } = 29\)
Next, we need to find the angle of the vector. Since the vector has negative components, the angle will be in the third or fourth quadrant. We can find the angle using the arctangent function as:
theta = arctan(-20/-21) = 46.603 degrees
Since the angle is in the fourth quadrant, we need to add 180 degrees to get the angle in trigonometric form:
theta = 46.603 + 180 = 223.603 degrees
Therefore, the vector w in trigonometric form is:
w = 29(cos 223.603°i + sin 223.603°j)
Hence, the correct answer is option B: w = 29(cos 223.603°i + sin 223.603°j).
for such more question on vector
https://brainly.com/question/25705666
#SPJ11
i need help. please
Answer:
what are we supposed to do
Step-by-step explanation:
im confused
4. A bus drives 1 mile west and 4 miles north. Sketch the path of the bus and find the straight line distance and angle from the bus's location to its starting point. (Hint: Use Tan¹ to find the angle whose Tangent is 4/1)
The distance of the straight line is √17 miles and the angle formed is
75.96°.
We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, A bus drives 1 mile west and 4 miles north.
Let, The distance the bus travels along the west be adjacent and the distance traveled in the north be the height.
So, By Pythagoras' theorem,
The straight line distance = √(1² + 4²).
= √(1 + 16) miles.
= √17 miles.
Now, We know tan = opposite/adjacent.
tan = 4/1.
tan⁻¹(4/1) = Ф.
Ф = 75.96°.
learn more about trig ratios here :
https://brainly.com/question/14977354
#SPJ1
Solve the inequality for w.
w+7<20
Simplify your answer as much as possible.
0
Answer:
w<13
Step-by-step explanation:
Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.
Answer:
w < 1`3
Step-by-step explanation:
Isolate the variable w on one side of the inequality sign.
w+7<20
w<20 - 7
w<13.
How many pounds of pure sulfur are contained in 3,300 lb of coal that has 6 % pure sulfur content?
Given:
There are 3300 lb of coal having 6% of pure sulfur content.
Required:
To find the pounds of pure sulfur.
Explanation:
The pounds of pure sulfur is,
\(\begin{gathered} =\frac{6}{100}\times3300 \\ \\ =198lb \end{gathered}\)Final Answer:
198lb of pure sulfur are contained in 3300 lb of coal.
If one side of a right triangle is 5 and the other is 12 what is the length of the hypotenuse.
Let us sketch out the triangle,
To solve for the unknown length, we will adopt the method of Pythagoras theorem,
\(\begin{gathered} \text{Pythagoras theorem,} \\ x^2=y^2+z^2 \end{gathered}\)\(\begin{gathered} \text{where x=?} \\ y=12 \\ z=5 \end{gathered}\)\(\begin{gathered} x^2=12^2+5^2 \\ x^2=144+25 \end{gathered}\)\(\begin{gathered} x=\sqrt[]{169} \\ x=13 \\ \text{Hence, the length of the hypotenuse is 13 units.} \end{gathered}\)Hence, the length of the hypotenuse is 13units.
solve for x
(look at photo)
By definition of proportion, the value of x is,
⇒ x = 80
We have to given that;
In a triangle,
Perpendicular = 60
Now, By Pythagoras theorem we get;
60² = 36² + y²
3600 = 1296 + y²
y² = 3600 - 1296
y² = 2304
y = 48
Hence, By definition of proportion;
⇒ x / 48 = 60 / 36
⇒ x = 80
Thus, By definition of proportion, the value of x is,
⇒ x = 80
Learn more about the proportion visit:
https://brainly.com/question/1496357
#SPJ1
A walking path across a park is represented by the equation y=-2x-7. A
new path will be built perpendicular to this path. The paths will intersect at
the point (-2,-3). Identify the equation that represents the new path.
10-
10
510
The equation of the new path is y = -1/2x - 4
How to determine the equation?The equation is given as:
y = 2x - 7
A linear equation is represented as:
y = mx + c
Where m represents slope
This means that:
m = 2
Let the slope of the perpendicular equation be n.
The condition of perpendicular lines is
n = -1/m
So, we have:
n = -1/2
The equation of the new path is then calculated using:
y = n(x - x1) + y1
So, we have:
y= -1/2(x + 2) - 3
Expand
y = -1/2x - 4
Hence, the equation of the new path is y = -1/2x - 4
Read more about linear equations at:
https://brainly.com/question/14323743
#SPJ1
i need help please AND HOW U GOT THE ANSWER PLS PLS
Answer:
1. Yes, all of the measurements are equal
2. A
3. B
4. B
Step-by-step explanation:
1. Congruent shapes have all equal measurements
2. If they are congruent, the sides that align with each other are also congruent
3. If they are congruent, the angles that align with each other are also congruent
4. If they are congruent, then <B and <E are equal to each other... <B = 65 degrees meaning so does <E
- hope this helps! :)
making a sandwich from white, wheat, or rye bread, cheddar or Swiss cheese, and ham, turkey, or roast beef. How much sample spaces are there?
Answer: 8
Step-by-step explanation:
Evaluate 3^x for x = −2, x = 1, and x = 3.
We need to evaluate the exponential function for some values of x.
First, remember that:
\(3^x=3\cdot3\cdot3\cdot3\ldots\cdot3\text{ (x factors)}\)For example:
\(3^2=3\cdot3\text{ (two factors)}\)Also, the negative exponent inverts the base:
\(3^{-a}=(\frac{1}{3})^a\)So, for x = -2, we have:
\(3^{-2}=(\frac{1}{3})^2=\frac{1}{3}\cdot\frac{1}{3}=\frac{1}{9}\)For x = 1, we have:
\(3^1=3\)For x = 3, we have:
\(3^3=3\cdot3\cdot3=27\)Therefore, the answer is:
1/9, 3, 27
the marked price of a car is £600000. what will be the discount if 5% is allowed
Answer:
30000
Step-by-step explanation:
discount (d)= 5%of M.p
=5/100 * 600000
=30000
3. Here is a pattern on a grid. What percentage of the grid is shaded?
Answer:
count the amount shaded and put that as your numerator (top number of fraction) and the total amount of boxes on the grid as your denominator (Bottom number of fraction) and convert the fraction to a decimal and that will be your percentage of gid shaded
This simple question does not require any statistical calculations, only statistical knowledge. The showerhead heights at a men’s athletic locker room were designed to be 72 inches which is well above the mean height of 69.5”. The heights of the athletes are normally distributed. From the choices listed below, which is more likely to be true: a, b or c?
a.The mean height for a randomly selected sample of 20 players is more than 72 inches.
b.The height of one randomly selected player is more than 72 inches.
c.Both a and b are equally likely.
Why? (Justify your answer with a short answer.)
That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.
Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.
To know more about Probability .
https://brainly.com/question/13604758
#SPJ11
center (-4, -7), tangent to x = 2
Answer:
(x + 4)^2 + (y + 7)^2 = 36
Step-by-step explanation:
The given information describes a circle with its center at (-4, -7) and tangent to the vertical line x = 2. To determine the radius of the circle, we need to find the distance between the center and the tangent line.
The distance between a point (x1, y1) and a line Ax + By + C = 0 is given by:
d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)
In this case, the equation of the line is x = 2, which can be written as 1x + 0y - 2 = 0. Therefore, A = 1, B = 0, and C = -2. The center of the circle is (-4, -7), so x1 = -4 and y1 = -7. Substituting these values into the formula, we get:
d = |1*(-4) + 0*(-7) - 2| / sqrt(1^2 + 0^2)
d = |-6| / sqrt(1)
d = 6
Therefore, the radius of the circle is 6 units. The equation of a circle with center (h,k) and radius r is given by:
(x - h)^2 + (y - k)^2 = r^2
Substituting the values we have found, we get:
(x + 4)^2 + (y + 7)^2 = 36
This is the equation of the circle that satisfies the given conditions.
Find the x- and y-intercept x + 4y = 36
Answer:
x= 36 and y= 9
Step-by-step explanation:
because I said so. jk math
Answer:
x-intercept: 36
y-intercept: 9
Step-by-step explanation:
Hi there!
What we need to know:
The x-intercept occurs when y=0The y-intercept occurs when x=01) Determine the x-intercept
\(x + 4y = 36\)
Plug in 0 for y
\(x + 4(0) = 36\\x=36\)
Therefore, the x-intercept is 36.
2) Determine the y-intercept
\(x + 4y = 36\)
Plug in 0 for x
\(0 + 4y = 36\\4y = 36\)
Divide both sides by 4
\(y=9\)
Therefore, the y-intercept is 9.
I hope this helps!
Where is probability, data, trends, likelihoods and/or statistics used in veterinarian? Be specific and explain.
Probability, data, trends, likelihoods, and statistics are extensively utilized in veterinary medicine for disease surveillance, diagnostic testing, clinical research, drug efficacy evaluation, risk assessment, and predictive modeling. By employing given tools, veterinarians can make evidence-based decisions, enhance patient care, and improve overall animal health outcomes.
Probability, data, trends, likelihoods, and statistics are used in various aspects of veterinary medicine to inform decision-making, assess risk, and improve patient outcomes.
Here are some specific examples:
Epidemiology and Disease Surveillance: Veterinarians use probability and statistics to track and analyze disease trends in animal populations. By collecting and analyzing data on disease occurrence, veterinarians can identify patterns, determine risk factors, and develop strategies for prevention and control.
Diagnostic Testing: Veterinary medicine often relies on diagnostic tests to detect and confirm the presence of diseases in animals. Probability plays a crucial role in interpreting test results. Veterinarians use statistics to determine the sensitivity (the probability of a positive test result given that the disease is present) and specificity (the probability of a negative test result given that the disease is absent) of different tests. These measures help assess the accuracy and reliability of diagnostic tests and guide treatment decisions.
Clinical Research and Evidence-Based Medicine: Probability, data, and statistics are fundamental in conducting clinical research in veterinary medicine. Researchers use statistical analysis to evaluate the effectiveness of treatments, compare different interventions, and assess clinical outcomes. This allows veterinarians to make evidence-based decisions when selecting treatments and managing patients. Additionally, statistics help determine sample sizes, calculate confidence intervals, and perform statistical tests to determine the significance of research findings.
Pharmacology and Drug Efficacy: Probability and statistics are used to assess the effectiveness and safety of medications in veterinary medicine. Clinical trials employ statistical methods to determine the optimal dosage, evaluate drug interactions, and assess the likelihood of adverse effects. These statistical analyses help veterinarians understand the benefits and risks associated with specific drugs, enabling them to make informed decisions when prescribing medications.
Risk Assessment and Predictive Modeling: Veterinarians often use probability and statistics to assess risks and predict outcomes in various scenarios. For example, when evaluating surgical procedures, veterinarians may use statistical models to predict the likelihood of complications or postoperative outcomes.
Learn more about statistical analysis click;
https://brainly.com/question/30094945
#SPJ1
Jenny has 8 coins. The amount of her coins is 67 cents. What coins does Jenny have?
Answer: 1 quarter, 3 dimes, 2 nickels, and 2 pennies
Step-by-step explanation:
8 coins.
1 quarters = 25¢
42¢ = 2 pennies and 3 dimes and 2 nickels
The perimeter of a rectangular restaurant kitchen is 56 meters. The area is 171 square meters. What are the dimensions of the kitchen?
answer: b = 9metres
l = 19metres
Answer:
Dimensions are L=19, w=9, or L=9, w=19
Step-by-step explanation:
Perimeter P=2(L+W)
So, 56=2(L+W)
28=L+W
L=28-W
Area A=L*W
Because A=171, so 171=L*W
Substituting the expressions: put L=28-w, to 171=L*W,
So, 171=(28-W)W
171=28w-w²
W²-28W+171=0
(W-9)(W-19)=0
W=9, or W=19
We got L=28-W before, so when w=9, put to L=28-W, so, L=19
Dimensions are L=19, w=9, or L=9, w=19
I need to know if it’s A B C OR D
Answer
68°
Explanation
Given:
m ∠O = (4x)°, m ∠M = (8x - 24)°
From the diagram,
m ∠M + m ∠O = 180° (Opposite angles of a cyclic quadrilateral is supplementary).
⇒ (8x - 24)° + (4x)° = 180°
Remove the brackets
8x - 24 + 4x = 180
Collect the like terms together
8x + 4x = 180 + 24
12x = 204
Divide both sides by the coefficient of x
12x/12 = 204/12
x = 17
Now, the given m ∠NOP = 4x
Substitute x = 17 into m ∠NOP
⇒4 x 17 = 68°
x y
10 8
20 16
30 20
40 24
Answer:
Its A or well the first answer
Step-by-step explanation:
pls simplify these two problems:
Answer:
Step-by-step explanation:
1 )
\(\frac{2}{5}( \frac{5x}{4} - \frac{10}{3})-\frac{4x}{3} \\\frac{x}{2} - \frac{4}{3} - \frac{4x}{3}\\ \frac{-5x}{6}-\frac{4}{3}\)
2 )
\(\frac{17x}{8}+\frac{3x}{4}+\frac{1}{6}-\frac{7x}{12}+\frac{17}{3}\\ \frac{51x}{24}+\frac{18x}{24}-\frac{14x}{24}+\frac{35}{6}\\\frac{55x}{24}+\frac{35}{6}\)
I need step by step answer to my question
Step-by-step explanation:
what is your questions
Answer:
The answer would be 13.5 pints
Step-by-step explanation:
when you do 2 gallons - 2 pints you get 1.75 gallons
then when you do 1.75 - 1 cup you get 13.5 pints
A particle is moved along the x-axis by a force that measures 8/(3 + x)2 pounds at a point x feet from the origin. Find the work W done in moving the particle from the origin to a distance of 9 ft.
Answer:
2 ft·lb
Step-by-step explanation:
You want the work done on a particle moving it from 0 to 9 ft using a force that is 8/(3+x)² pounds at each point.
WorkThe incremental work is the product of the force and the incremental distance:
dW = 8/(3+x)²·dx
The work done over the distance of interest is the integral of this incremental work over that distance.
\(\displaystyle W=\int_0^9{\dfrac{8}{(x+3)^2}}\,dx=(-8(x+3)^{-1})_0^9=-8\left(\dfrac{1}{12}-\dfrac{1}{3}\right)=2\)
The work done on the particle is 2 ft·lb.
From past experience, it is known that a telemarketer makes a sale with probability 0.2. Assuming that results from one call to the next are independent. Determine the probability that telemarketer makes:___.
a. the first sale on the third call
b. the first sale after the third call
c. the second sale on the fifth call
d. the second sale before the fifth call
what's 0/0, with full steps
Answer:
undefined
Step-by-step explanation:
division by zero is undefined
Division Property of zero
For any nonzero real number a
The quotient of "a" and 0 is undefined. That is a/0 is undefined
Since we know our 24% to be true based on historical data, do you think that Avery had a case against the state of Georgia for not giving him a “trial of his peers?” Justify your response with a couple of sentences.
The Avery had a case against the state of Georgia for not giving him a “trial of his peers" that the jury's final pick does not correspond to its real likelihood, and events occurred arbitrarily more frequently.
1)Black Americans make up 165814.
population is 691797.
691797 - 165814 = 525983
if you are not Black American.
Probability is =\(\frac{ C_{12}^{525983} }{C_{12}^{691797} }\) = 0.037316709.
2)African Americans = 165814.
population is= 691797.
Probability is equal to \(\frac{165814}{691797}\)=0.23968519.
As a juror
African Americans = 111.
21624 people live there.
Probability is equal to \(\frac{165814}{691797}\)= 0.051563078
Hence, the answer is yes, but more likely.
3)Juror probability: \(\frac{165814}{691797}\)= 0.051563078
Hence, based on 60 x0.05, there should be about 3 African Americans, yet there are none. hence, by chance.
4)As we can see, the jury's final pick does not correspond to its real likelihood, and events occurred arbitrarily more frequently.
Learn more about events
brainly.com/question/12961938
#SPJ1
What is the equivalent to the product below when x>_0?
√5x² •√15x²