SOLUTION:
Case: Circle theorems
Method:
From the given circle,
The angle subtended by the arc AC at the center of the circle is 130 degrees
Hence
The major arc ABC is
\(\begin{gathered} \hat{mABC}=360-130\degree \\ mABC=230\degree \end{gathered}\)The angle at B is given as:
\(\begin{gathered} m\angle ABC=\frac{1}{2}\times mABC(Angle\text{ }subtended\text{ }at\text{ }the\text{ }center\text{ }is\text{ }twice\text{ }that\text{ }at\text{ }circumference) \\ m\angle ABC=\frac{1}{2}\times130 \\ m\angle ABC=65\degree \end{gathered}\)Final answer:
\(\begin{gathered} mABC=230\degree \\ m\angle ABC=65\degree \end{gathered}\)Write the following as a sum, using powers of 10 to show place value? 0.739
I need it help to find which statement is true ASAP!
Answer:
The first option
Step-by-step explanation:
If you check the first one we can verify that WX and ZY are perpendicular as shown with the 90 degree mark then we can see that WX is parallel with AB.
Use the image to answer the question. A vertical number line starting at negative 10 on the bottom of the line with tick marks every one unit up to positive 10 at the top. The point negative 4.5 is labeled. What does the absolute value of the point labeled in the image mean if the number line represents temperature change? There was no change in temperature. The temperature equals 4.5 degrees. The temperature decreased 4.5 degrees. The temperature increased 4.5 degrees. HURRY UP
Since the point negative 4.5 (-4.5) is labeled on this number line representing temperature change, the absolute value of the point labeled in the image means that: B. the temperature equals 4.5 degrees.
What is a number line?In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).
In conclusion, the absolute value of a number is always positive and it can be used for describing the distance of a number from zero (0) on the number line, without taking its direction into consideration.
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10. A pizza with a diameter of 5 inches is divided into 8 sectors
of equal area.
What is the approximate area of each pizza slice? Round
your answer to the nearest hundredth.
O
O
The approximate area of each pizza slice is 2.45 sq inches
What is the approximate area of each pizza slice?From the question, we have the following parameters that can be used in our computation:
Diameter = 5 inches
This means that
Radius, r = 5/2 inches
Evaluate
Radius, r = 2.5 inches
The approximate area of each pizza slice is calculated as
Area = Circle area/number of sectors
So, we have
Area = 3.14 * 2.5^2/8
Evaluate
Area = 2.45 sq inches
Hence, the approximate area of each pizza slice is 2.45 sq inches
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There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
Answer:
83 kids total
Step-by-step explanation:
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
girls = 54
boys = 54 - 25 = 29
54 + 29 = 83 kids total
kids that are on the playground are 83.
What is the sum?Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.
The total number of girls that are present is 54
The data given is that there are
25 fewer boys taht are4 present
The total number of boys will be
boys = 54 - 25 = 29
The number of kids that are present will be the total of boys and girls that are present.
Kids = boys + girls
54 + 29 = 83 kids total
The quantity of kids that are present in the playground is 83.
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Any help finding the 0th term of this geometric sequence?
Answer:
25,50,100 is the geometric sequence ?
Does 10, 15, 18 equal a right triangle
Answer:
Not a right triangle
Step-by-step explanation:
\(10^2+15^2\stackrel{?}{=}18^2\\100+225\stackrel{?}{=}324\\325\neq324\)
As the sides of the triangle do not follow the Pythagorean Theorem, then the triangle is not a right triangle.
What is the meaning of "complex numbers with absolute value 1 "?
Answer:
A complex number is said to have an absolute value of 1 if the magnitude of its real and imaginary parts together is equal to 1. Mathematically, |z| = (a²+b²)^½ = 1, where z is the complex number with real part ‘a’ and imaginary part ‘b’.Jose left the airport and traveled toward the mountains. Kayla left 2.1 hours later traveling 35 mph faster in an effort to catch up to him. After 1.2 hours Kayla finally caught up. Find Jose's speed.
========================================================
Explanation:
x = Jose's speed in mph
x+35 = Kayla's speed since she drives 35 mph faster than Jose
Jose gets a 2.1 hour head start and it takes Kayla 1.2 hours to reach him. So this means Jose has been driving for 2.1+1.2 = 3.3 hours when Kayla reaches him. The distance he travels is
distance = rate*time
d = r*t
d = x*3.3
d = 3.3x
while Kayla's distance equation is
d = r*t
d = (x+35)*1.2
d = 1.2x+42
Since Kayla meets up with Jose at the 1.2 hour mark, this means the two distances they travel is the same. Set their distance expressions equal to one another. Solve for x.
3.3x = 1.2x+42
3.3x-1.2x = 42
2.1x = 42
x = 42/(2.1)
x = 20
Jose's speed is 20 mph, while Kayla's speed is x+35 = 20+35 = 55 mph.
Jose's fairly slow speed is probably due to a number of factors such as heavy traffic, icy roads, or poor visibility. Kayla probably got a bit of a break with more favorable conditions.
Since Jose travels at 20 mph and does so for 3.3 hours, he travels d = r*t = 20*3.3 = 66 miles. Kayla travels d = r*t = 55*1.2 = 66 miles as well. We get the same number each time to help confirm the answer.
Which of the following could be the equation of the graph shown below?
Answer:
According to the proposed interrogate, as well as the graph provided, the correct answers to such are identified as B. Y = -2x + 5 and C. 2x + y = 4.
Step-by-step explanation:
To evaluate such, a comprehension of linear Cartesian data is required:
Slope = rise/run. If there is a negative rise, the direction of the line is proportional to the left-hand side as it exponentially grows or augments in units.
Y-intercept: The peculiar point in which the linear data observed intersects the y-axis.
X-intercept: The peculiar point in which the linear data observed intersects the x-axis.
Since this is a negative linear, all negative slopes apply.
The interrogate states, “Check all that apply.” Thus, there may be more than one correct answer, shall such be disseminated.
A. Cannot be the answer as the line should have been a horizontal line contained within quadrants I and II on the Cartesian Plane.
B. Contains a negative slope, thus is disclosed as a correct answer.
C. This configuration is denoted in “Standard Form” or “General Form”. To convert this to “Slope-Intercept Form” the following must be executed mathematically:
2x + y = 4
Y = -2x + 4 <== Slope-Intercept Form (Contains a negative slope, thus considered a correct answer.
D. Likewise, this configuration is denoted in “Standard Form” or “General Form”. To convert this to “Slope-Intercept Form” the following must be executed mathematically:
X - y = 9
-y = -x + 9
Y = x - 9 <== Slope-Intercept Form (Cannot be considered as the correct answer, given the positive slope configuration, thus is marked out).
Thus far, as evaluated, the correct answers to the proposed interrogate, as according to the linear data provided in the Cartesian Plane is acknowledged, and henceforth disseminated, as B. Y = -2x + 5 and C. 2x + y = 4.
*I hope this helps.
round 11,406 to the nearest:tens ,ten thousand , hundred
Answer:
Tens:11,410
Ten thousand :10,000
Hundred : 11,400
A hotel packed breakfast for each of the three guests. Each breakfast should have consisted of threeTypes of rolls, one each of nut, cheese and fruit rolls. The preparer wrapped each of the nine rollsand once wrapped, the rolls were indistinguishable from one another. She then randomly put threerolls in a bag for each of the guests. If the probability that each guest got one roll of each type ism/n where m and n are relatively prime integers, find the value of (m+n).
The probability that each guest got one roll of each type is 3/1, which is a fraction with a numerator of 3 and a denominator of 1. Since the numerator and denominator are relatively prime integers, the value of m + n is 3
The equation for the probability that each guest got one roll of each type is m/n, where m and n are relatively prime integers.
We can expand this equation to
m/n
= 3/1.
Since the numerator and denominator are relatively prime integers, we can solve for m + n by multiplying both sides of the equation by 1.
Multiplying both sides of the equation by 1 gives us
m + n = 3.
Therefore, the value of
m + n is 3.
Let m = numerator and n = denominator in the probability of m/n.
Given that each guest got one roll of each type, the probability is m/n.
The numerator and denominator are relatively prime integers, so m and n have no common factors.
Therefore,
m + n = 3.
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Solver for x: 4(1 - x) + 2 x = -3(x + 1)
Answer:
x=7
brainliest?
Answer:
Exact form: -7/9
Decimal form: -0.7
Step-by-step explanation:
what is the raito 40 to 18
Answer:
20:9
Step-by-step explanation:
Here we will simplify the ratio to 40:18 for you and show you how we did it.
To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.
The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:
20:9
a football player can run 13.5 yards in 4.5 seconds. which equation is used to find r, the number of yards he can run in 1 second
Answer:
3
Step-by-step explanation:
You just divide 13.5 by 4.5, and you get 3 yards per second.
Solve the system by the addition method. x + 3y = 6 3x + 4y = −2
The solution to the system is x = -6 and y = 4.
To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.
Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:
-3x - 9y = -18
+ 3x + 4y = -2
-------------
-5y = -20
Now we can solve for y by dividing both sides by -5:
y = 4
We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:
x + 3(4) = 6
x + 12 = 6
x = -6
So the solution to the system is x = -6 and y = 4.
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A stack of bricks has a
base with an area of 38
inches. If the height is 12
inches, then what is the
volume?
Answer: 456 inched cubed
The Explanation: Basically, we are going to take the base area which is 38 and multiply that by a height of 12.
38 x 12 = 456
a computer that normally cost 500 dolars was on sale for 200 dollars. what is the percent decrease. please show work for brainlist
Answer:
(100/500) *200 =40%
Step-by-step explanation:
An arithmetic series contains 14 numbers. The first number is 12. The last number is 38. What is the sum of the series?
312
350
494
700
Answer: The answer is B:350
Step-by-step explanation:
edge
Answer:
B
Step-by-step explanation:
Got it right
Which function is best represented by the graph?
Answer:This would be option letter C
Step-by-step explanation:The diagram is a gram of external geofram so the position Is fFX(4) ^N
Answer:
D
Step-by-step explanation:
f(x)= -x^2+4
Draw graph of -x^2 and shift it 4 units above
Sukie interviewed 125 employees at her company and discovered that 21 of them planned to take an extended vacation next year.
What is the standard error?
Answer:
The standard error is 0.033.
Step-by-step explanation:
We are given that Sukie interviewed 125 employees at her company and discovered that 21 of them planned to take an extended vacation next year.
Let \(\hat p\) = proportion of employees who planned to take an extended vacation next year
\(\hat p\) = \(\frac{X}{n}\) = \(\frac{21}{125}\) = 0.168
n = number of employees at her company = 125
Now, the standard error is calculated by the following formula;
Standard error, S.E. = \(\sqrt{\frac{\hat p(1-\hat p)}{n} }\)
= \(\sqrt{\frac{0.168(1-0.168)}{125} }\)
= \(\sqrt{\frac{0.168 \times 0.832}{125} }\) = 0.033
Hence, the standard error is 0.033.
Answer:
.10 - .23
Step-by-step explanation:
.168 +/- 1.96 ( sqrt ((.168 * .832)/125))
simply and write in exponential form
(1) p2*p-7
Answer:
\( {p}^{2} \times {p}^{( - 7)} = {p}^{(2 - 7)} = {p}^{ - 5}\)
is the right answer.
Help me please Help me please
What is 3/10 + 1/4 + 4/5 enter your answer in the box as a mixed number in simplest form
Answer:
\(1 \frac{7}{20} \)
Step-by-step explanation:
Well you should find a common denominator for 10, 4 and 5 first to be able to mix them. Let's take 20 because it's the smallest number we can convert 10, and 4 and 5 to.
So
\( \frac{3 \times 2}{10 \times 2} + \frac{1 \times 5}{4 \times 5} + \frac{4 \times 4}{5 \times 4} \)
And you get
6/20 + 5/20 + 16/20 (now you can add them because they all have 20 as denominator) so = 27/20 = 1 7/20
Interesting Slopes- Definitions
the slope of the line is zero, as change in y cordintae is 0.
What is the slope of line?
Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations. Whichever point you choose to classify as the first and which as the second doesn't matter.
In the given line in the graph, the change in y coordinate is 0.
We know that slope = change in y / change in x
As the change in y coordinate is 0.
The slope of the line will be zero.
Hence, the slope of the line is zero.
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ILL GIVE U BRAINLIST OR WHATEVER
The nationwide percentage of Americans who invest in the stock market is usually taken to be 55%. Is this percentage different in Georgia? A survey and analysis among Georgia residents led to a test statistic of 1.75.
(b) What is the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average? (Use 4 decimals.)
Okay, here are the steps to find the p-value:
1) The nationwide proportion of Americans who invest in the stock market is 55% (0.55)
2) The test statistic for Georgia is 1.75
3) To calculate the p-value, we need to know the degrees of freedom (df) and the critical value of the test statistic.
4) The df = 1, since we're comparing a single proportion (Georgia) to a fixed value (national average).
5) The critical value at df = 1 and 95% confidence is 3.84 (for a two-tailed test)
6) Since the test statistic of 1.75 is less than 3.84, we look up 1.75 in tables to find the p-value.
7) For a test statistic of 1.75 and df = 1, the p-value is 0.1860.
So the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average is 0.1860.
Let me know if you have any other questions!
Okay, here are the steps to find the p-value:
1) The nationwide proportion of Americans who invest in the stock market is 55% (0.55)
2) The test statistic for Georgia is 1.75
3) To calculate the p-value, we need to know the degrees of freedom (df) and the critical value of the test statistic.
4) The df = 1, since we're comparing a single proportion (Georgia) to a fixed value (national average).
5) The critical value at df = 1 and 95% confidence is 3.84 (for a two-tailed test)
6) Since the test statistic of 1.75 is less than 3.84, we look up 1.75 in tables to find the p-value.
7) For a test statistic of 1.75 and df = 1, the p-value is 0.1860.
So the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average is 0.1860.
Let me know if you have any other questions!
1. You decide to buy a guitar for $1257. With tax the total comes to $1357.56. You'll have to charge it on your credit card. If your monthly Interest rate is 1.7%, and you make a payment of $150 per month, what will your new balance be by the end of the 3rd month? Fill in the
chart below completely. Each box should be filled.
Here's the complete chart:
Month Balance Interest Payment New Balance
0 $1,357.56 - - $1,357.56
1 $1,383.54 $23.98 $150 $1,257.52
2 $1,409.62 $26.08 $150 $1,266.06
3 $1,435.81 $27.19 $150 $1,473.61
What is percent?Percent is a way of expressing a fraction or a ratio as a number out of 100. The word "percent" comes from the Latin per centum, which means "per hundred." Percentages are commonly used in many areas, including finance, economics, and statistics. For instance, interest rates, inflation rates, and stock market returns are often expressed as percentages. In addition, percentages are used to calculate discounts, markups, and taxes.
Here,
To calculate the new balance by the end of the 3rd month, we need to use the formula for the balance after n months with monthly payments:
B(n) = (1 + r)ⁿ * B(0) - (PMT/r) * [(1 + r)ⁿ-1]
where B(0) is the initial balance, r is the monthly interest rate, PMT is the monthly payment, and n is the number of months.
In this case, we have:
B(0) = $1357.56
r = 1.7% per month = 0.017
PMT = $150
n = 3 months
Plugging these values into the formula, we get:
B(3) = (1 + 0.017)³ * $1357.56 - ($150/0.017) * [(1 + 0.017)³ - 1]
= $1473.61
Therefore, the new balance by the end of the 3rd month is $1473.61.
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Find the complement of 76°
Answer:
14°
Step-by-step explanation:
Answer:
14°
Step-by-step explanation:
Complementary angles add up to 90°, so we need to subtract 76° from 90° to find the answer.
90° - 76° = 14°
Find the area of each figure. Round your answer to one decimal place if necessary.
Therefore ,as a result, the total surface area is 64 + 16 = 80 square units.
Defining surface areaThe amount of space it occupies on the surface is a decent indication of its overall size. The complete surroundings is taken into account when calculating the area of a tri shape. Something's total size is determined by its surface area. The volume of water inside a cuboid is equal to the total of the volumes on each and every six of its rectangular sides. To calculate the box's measurements, use the formula below: In 2lh, 2lw, and 2hw, the region is identical (SA). The surface area of the multipurpose shape represents the region.
Here,
Imagine a line running from 8m to 4m at the intersection. As a result, a rectangle and a triangle are formed.
Simple
=> is the square's area
=> 8 *8 = 64 square units.
Use the formula
=> (1/2)b*h to determine the triangle's area
We need to enter the hieght, which is already known to be 4, and the base, which is already known to be 8, into the equation.
=> Triangle area unit = 1/2 * 8 * 4
Therefore ,as a result, the total area is 64 + 16 = 80 square units.
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The results of a survey of 38 students and the foreign language they are studying are shown in the two-way frequency table. Language Gender Chinese French Spanish Total Girl 4 7 10 21 Boy 1 1 15 17 Total 5 8 25 38 What fraction of the surveyed students are taking Chinese? of the surveyed students are taking Chinese.
Answer:
5/38
Step-by-step explanation:
A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator.
The numerator is the number above. While the denominator is the number below
an example of a fraction = \(\frac{4}{5}\)
4 is the numerator while 5 is the denominator
fraction of the surveyed students are taking Chinese = total number of students surveyed / total number of students surveyed
5/38