Which equation is correct regarding the measure of
<1?
O m_1 = {(a-c)
O mz1 = = {(a + c)
Om 1 =
= {(6-0)
O m_1 = {(b + )
Answers
Answer:
m<1 = ½(b - d)
Step-by-step explanation:
Recall: when two secants intersect to form an exterior angle outside a circle, the measure of the exterior angle equals half of the difference of the major and minor arcs intersected.
Thus, in the problem given,
m<1 is the exterior angle
b and d are the arcs intersected.
Therefore,
m<1 = ½(b - d)
The equation that is correct regarding the measure of <1 is; m<1 = ½(b - d)
What is the Secant theorem of a circle?
According to the secant theorem, it states that when two secants intersect to form an exterior angle outside a circle, then the measure of the exterior angle will be equal to half of the difference of the major and minor arcs intersected.
In the given question, we can see that;
The exterior angle = m<1
The arcs intersected are b and d
Thus, from applying the secant theorem, we can express that;
m<1 = ½(b - d)
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Related Questions
Mr. Ryan was setting up the percussion section of the band. The table shows the number of students who will play each instrument in the percussion section. What is the ratio of students needed to play the Xylophone in relationship to the Bass Drum?
Answers
Answer:
ummmmmmmmmmmm
Step-by-step explanation:
If we list all the numbers that can be generated by the numbers 2, 4, 5, 6, 7, and 8, and arrange
them in the increasing order what position will the number 872456 be placed?
For example, if we consider the numbers that can be generated by the numbers 1, 4, and 5, and
arrange them, we will get the following ordering of the numbers:
1) 145
2) 154
3) 415
4) 451
5) 514
6) 541
We see that 145 is in the first position, 154 is in the second position, and so on
Answers
Using the arrangements formula, it is found that the number is in position 697.
-----------------------
The number of possible arrangements of n elements is given by:
\(A_n = n!\)
In this problem, the numbers are sorted as:
Numbers in which the first is not 8.Numbers in which the first is 8, and the second is not 7.872456 is the first number that starts with 87.Number of elements which we do not start with 8.
For the first digit, there are 5 possible options, which are 2, 4, 5, 6 and 7.For the remaining five, it is arrangement of 5.Thus:
\(n = 5 \times 5! = 600\)
Numbers that start with 8, and the second element is not 7.
For the second digit, there are 4 possible options, which are 2, 4, 5 and 6.For the remaining four digits, it is an arrangement of 4.Thus:
\(n_2 = 4 \times 4! = 96\)
Total:
\(600 + 96 = 696\)
872456 is the first number which starts with 87, thus it is at position 697.
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Pleas help I give brainliest, its my final
Answers
A cylinder has a height of 5 feet. Its volume is 1,570 cubic feet. What is the radius of the cylinder? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
The radius of the cylinder is equal to 10 feet.
How to calculate the volume of a cylinder?In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.By substituting the given parameters into the formula for the volume of a cylinder, we have the following;
V = πr²h
1,570 = 3.14 × r² × 5
1,570 = 15.7r²
r² = 1,570/15.7
r² = 100
Radius, r = √100
Radius, r = 10 feet.
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Find the value of the annuity and the interest. Round to the nearest dollar.
Periodic Deposit: $100 at the end of each year
Rate: 4% compounded annually
Time: 9 years
Answers
The value of the annuity after 9 years is approximately $1,044.56. The interest earned on the annuity after 9 years is approximately $244.56.
What is annuity?A financial contract known as an annuity offers a series of recurring payments over a predetermined length of time. A monthly, quarterly, or annual payment schedule is available when buying an annuity from an insurance provider. The payments are made until the annuitant's death or for a predetermined amount of time.
Deferred annuities and immediate annuities are the two categories under which annuities fall. Deferred annuities are a particular kind of annuity where the payments are postponed for a predetermined amount of time, typically several years. On the other hand, an instant annuity starts paying out as soon as the annuity is bought.
The value of annuity is given by the formula:
\(A = P * ((1 + r)^n - 1) / r\)
Substituting the given values we have:
\(A = $100 * ((1 + 0.04)^9 - 1) / 0.04\\A = $100 * (1.04^9 - 1) / 0.04\)
A ≈ $1,044.56
Hence, the value of the annuity after 9 years is approximately $1,044.56.
Now, the interest is givn as:
Interest = A - (P * n)
Substituting the values we have:
Interest = $1,044.56 - ($100 * 9)
Interest ≈ $244.56
Hence, the interest earned on the annuity after 9 years is approximately $244.56.
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its PEMDAS i usually can do it but i cant rn :(
Answers
Answer:
Problem 13: 7
Problem 15: 61
Step-by-step explanation:
PEMDAS stands for parentheses, exponentiation, multiplication/division, and addition/subtraction. For problem 13, you need to multiply 16 and 5 together first, giving you 80. Then you solve the problem left to right:
88-80+2-3= 8+2-3=10-3=7
For problem 15, first you raise 4 to the third power, which gives you 64. Then you divide 24 by 8, which gives you 3.
64-3=61
88-80+2-3
8+2-3 = 7
14) 64 - 24 / 8
64 - 3 = 61
x^2 + bx - 4 = 0?
What is b equal to?
Answers
\(\mathfrak{ x ^ { 2 } + b x - 4 = 0} \)
\(\mathfrak{bx-4=-x^{2} } \)
\(\mathfrak{bx=-x^{2}+4 } \)
\(\mathfrak{xb=4-x^{2} } \)
\(\mathfrak{\frac{xb}{x}=\frac{4-x^{2}}{x} } \)
\(\mathfrak{ b=\frac{4-x^{2}}{x} } \)
\(\mathfrak{b=-x+\frac{4}{x} } \)
AnSwEr
\(\boxed{\mathfrak{b=-x+\frac{4}{x},x\neq 0 } }\)
ღ ꪑ꠸᥅ꫀꪊ
Large bottle of juice contains 500 ml of juice. Medium bottle contains 70% as much juice as large bottle. How many milliliters of juice are in the medium bottle?
Answers
Answer:
350 milliliters
Step-by-step explanation:
70% of 500 is 350
which of the following is the median of 19, 31, 15, 50, 20
Answers
\(\huge\textsf{Hey there!}\)
\(\large\text{19, 31, 15, 50, \& 20}\)
\(\large\text{When you see or hear the word \underline{median}, think of the question}\\\large\text{asking you \bf what is the MIDDLE NUMBER.}\large\text{To find the}\\\large\text{middle number you have to put the numbers from descending}\\\large\text{(least/decreasing) or ascending (greatest/increasing) order}\)
\(\large\text{15, 19, 20, 31, \& 20}\)
\(\large\text{Make sure it is even on BOTH SIDES of the DATA SET}\)
\(\large\text{It seems to be even on both sides of the number \bf 20}\large\text{ so \underline{20}}\\\large\text{can be your median/middle number in this given set}\)
\(\boxed{\boxed{\huge\textsf{Answer: the median is \bf 20}}}\huge\checkmark\)
\(\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\\\frak{Amphitrite1040:)}\)
Find the greatest common factor of 14 and 16
Answers
Answer:
the answer is 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
It is 2, because it is the only factor that can go with both of the numbers.
Does somebody knows how to do this? Please
Answers
Answer:
72cm^2
Step-by-step explanation:
Think of the whole figure as 3 rectangles. Your first one has an area of 8cm*3cm=24cm^2, your second one has an area of (12cm-3cm-3cm)*(8cm-4cm)=6cm*4cm=24cm^2, and your third one has an area of 8cm*3cm=24cm^2. Adding all of the areas together, we have 24cm^2+24cm^2+24cm^2=72cm^2 as the total area of the figure.
If g is the inverse of the function f(x) = sqrt(x - 6) - 10 , which of the following is g?
Answers
Answer:
g(x) = x² + 20x + 106Step-by-step explanation:
Given:
\(f(x) =\sqrt{x-6}-10\)If g(x) is the inverse of f(x), find it.
Swap x with g(x) and f(x) with x:
\(x =\sqrt{g(x)-6}-10\)Solve for g(x):
\(x + 10 = \sqrt{g(x)-6}\)\((x+10)^2=g(x)-6\)\(g(x) = x^2+20x + 100+6\)\(g(x) = x^2+20x + 106\)Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY
Answers
Answer:
0,8,5
Step-by-step explanation:
x+22 <32
Subtract 22 from each side
x+22-22 <32-22
x <10
The choices that fit
0,8,5
Answer:
Therefore, our applicable set is: 0, 8, and 5. All of these numbers make the inequality true.
Step-by-step explanation:
x + 22 < 32
This problem is fairly simple! All we need to do is substitute each number given for x and compute to find out if the equation will be true! First what we need to do is plug in each number given into our variable x. Our numbers are: 0, 10, 8, 71, 15, and 5
x = 0
0 + 22 < 32
22 < 32
Is 22 less than 32? It is! So it belongs to the solution set.
x = 10
10 + 22 < 32
32 < 32
32 is equal to 32, not less than 32. A number cannot be itself and less than itself, thus x = 10 does not belong to the solution set.
x = 8
8 + 22 < 32
30 < 32
Is 30 less than 32? Yes! Since the inequality is true (that's what these kinds of equations are called) it belongs to the solution set.
x = 71
71 + 22 < 32
94 < 32
Is 94 less than 32? No. 71 does not belong to this solution set.
x = 15
15 + 22 < 32
37 < 32
37 is not less than 32. Therefore it doesn't belong to the solution set.
x = 5
5 + 22 < 32
27 < 32
Is 27 less than 32? Yes. Therefore, it belongs to the solution set.
Therefore, our applicable set is: 0, 8, and 5. All of these numbers make the inequality true.
David's brother wants him to
build a pool deck which will
take 8 days to complete. His
brother will pay him in one of
two ways. David can earn $70
a day or start with $3 for the
first day and double his pay
each day plus $3. Which
payment method should David
select?
Answers
what is the prevention of corruption finish give my answer to me
.
3+6+9+12+15+18+22+25=110
1st choice
Pack-Em-In Real Estate is building a new housing development. The more houses it builds, the less people will be willing to pay, due to the crowding and smaller lot sizes. In fact, if it builds 40 houses in this particular development, it can sell them for $200,000 each, but if it builds 60 houses, it will only be able to get $160,000 each. Obtain a linear demand equation and hence determine how many houses Pack- Em-In should build to get the largest revenue. What is the largest possible revenue?
Answers
Using a linear and a quadratic function, it is found that the largest possible revenue is of $9,800,000.
The demand function has a linear format, given by:
\(P = mh + b\)
In which:
m is the slope, that is, the rate of change.b is the intercept, that is, the value of P when h = 0.40 houses can be sold for $200,000 each, thus, the first point of the linear function is: (40, 200000).
60 houses can be sold for $160,000 each, thus, the second point is: (60, 160000).
The slope is given by change in the output divided by change in the input, thus:
\(m = \frac{160000 - 200000}{60 - 40} = -2000\)
Thus:
\(P = -2000h + b\)
Point (40, 200000) means that when \(x = 40, y = 200000\). This is used to find b.
\(P = -2000h + b\)
\(200000 = -2000(40) + b\)
\(b = 280000\)
Then
\(P = -2000h + 280000\)
The revenue function is:
\(R = hp = -2000h^2 + 280000h\)
It is a quadratic equation with \(a = -2000, b = 280000\)
Since the quadratic equation is concave down, the maximum value is:
\(R_{MAX} = -\frac{b^2 - 4ac}{4a} = -\frac{280000^2}{4(-2000)} = 9800000\)
The largest possible revenue is of $9,800,000.
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A restaurant offers diet soda and regular soda. In one day they sold 91 sodas. If 42 of the sodas they sold were diet, what is the ratio of regular sodas sold to diet sodas told
Answers
Answer:
Step-by-step explanation:
91 - 42 = 49 (amount of regular sodas sold)
Answer: 49:42
A computer technician notes that 40% of computers fail because of the hard drive. If he repairs many computers a day, what is the probability that the first computer that has failed due to the hard drive is his 4th computer of the day?
Answers
Answer:
(B) 0.0864
Step-by-step explanation:
Correct on Edge
Use the drop-down menus to complete the sentences:
The terminal ray of an angle measuring -10/9pie at lies in the
quadrant.
This angle measures
Answers
Answer:
1. second
2. -200
Step-by-step explanation:
Just did it on e2020
Please help. Will award brainliest
Answers
The dimension of the rectangular of a norman window will be 1.6803*3.3606.
What is the area of Rectangle?
In any quadrilateral which have equal and parallel opposite sides is considered to be a rectangle. It is also called as a polygon with four sides and the four angles that are all 90 degrees each. A rectangle is a shape with only two dimensions. The product of the length and the breadth calculates its area. The length of the diagonals of any rectangle are equal in length. Thus, the length of the diagonals can be calculated easily using the Pythagoras theorem where, the diagonal is considered to be the hypotenuse.
Let r represents the radius, and b be the breadth.
Then, perimeter = 3.14*r+2r+2b = 12
For the dimension needed for the most light to enter we need to maximize the area.
Hence, area of the window : area of the semicircle + area of the rectangle
= \(\frac{3.14*r^2}{2} + 2rb\)
= \(12r - (\frac{3.14+4}{2}) r^2\)
A'(r) = 0
Therefore, \(r=\frac{12}{3.14+4}\) which is nearly equal to 1.6803m
From this value of r we can calculate the value of b to be;
b= 1.6803m
Thus, a= 3.606m
Thus the required dimension is : 1.6803*33606
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Look at the image below. What is the area of the parallelogram? by Middle School
Answers
Apply Pythagorean theorem
\(\\ \rm\rightarrowtail B^2=2.2^2-2^2\)
\(\\ \rm\rightarrowtail B^2=5-4\)
\(\\ \rm\rightarrowtail B^2=1\)
\(\\ \rm\rightarrowtail B=1\)
Base=1+3=4Area:-
Base×Height4(2)8units^2Answer:6
Step-by-step explanation:
I did the test
NEED ANSWERS ASAP
you have a recipe that indicated to use 7 parts of sugar for every 4 parts of milk. You use 28 cups of sugar. How many milk do you need?
Answers
Answer: 16
Step-by-step explanation:
I need one more brainliest for next rank I’d appreciate it
Answer:
16 cups milk is the answer
At the local art exhibit, childrens tickets cost $3 each and adult tickets cost $4 each. On a certain day, the exhibit sold 56 tickets and earned $203 in revenue. How many childrens tickets and how many adult tickets were sold?
Answers
Answer:
Children=21 Adult=35
Step-by-step explanation:
[using c for children tickets and a for adult tickets]
56=c+a and 203=3c+4a [starting system of equations]
a=56-c ---> 203=3c+4(56-c) [plugging the first eq. into the second]
203=3c+224-4c [simplify]
-21=-c [simplify 2.0]
c=21 [simplify 3.0]
56=21+a [plugging back into org. eq.]
so a=35
Is -11 an irrational number ? If it isn’t list some irrational numbers ?
Answers
Answer:
-11 is not a irrational number
the square root of 2, 3, 5, 10 are all irrational numbers
Answer: no it is not an irrational number irrational numbers are numbers like 3.141526535 aka pi
Step-by-step explanation:
help please I really need it
Answers
Please give me the correct answer
Answers
Answer:
D
Step-by-step explanation:
i think the 4th is the answer
dude what is this i dont understand
Answers
Answer:
g(1) = 1
Step-by-step explanation:
the absolute value function always gives a positive result, that is
| - a | = | a | = a
to evaluate g(1) substitute x = 1 into g(x)
g(1) = - 3| 1 - 2| + 4
= - 3| - 1| + 4
= - 3(1) + 4
= - 3 + 4
= 1
Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm
long. How many centimeters long was the actual tank?
cm
Answers
Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm long. The actual tank is 1620 cm long.
To determine the length of the actual tank, we need to scale up the length of the miniature model using the given scale of 1:72.
Let's denote the length of the actual tank as "x".
According to the scale, 1 cm on the miniature model represents 72 cm on the actual tank.
So, we can set up the following proportion:
1 cm (miniature model) / 72 cm (actual tank) = 22.5 cm (miniature model) / x cm (actual tank)
Cross-multiplying and solving for x, we get:
x = (72 cm * 22.5 cm) / 1 cmx = 1620 cm
The actual tank is 1620 cm long.
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an isosceles triangle has congruent sides of 20 cm. the base is 10 cm. Find the height of the triangle. Round to the nearest tenth. (Pythagorean theorem)
Answers
Answer:
The height of the triangle would be
5
√
15
c
m
or
19.36
c
m
Step-by-step explanation:
Please help, WILL GIVE BRAINLEST IF U SHOW UR WORK IF U DONT SHOW WORK ILL REPORT
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
Ok so since this is an area question we should begin with writing the correct formula for it. This says it's rectangular pool so we'll be using our rectangle formula, which is...
\(A=lw\)
Now we plug in what we know...
\(length=30\frac{1}{3} \\width=12\frac{1}{2}\)
Now we solve...
\(A=lw\\A=(30\frac{1}{3})(12\frac{1}{2})\\A=379\frac{1}{6}\)
So the area is.... \(379\frac{1}{6}\) feet ²
or if you want an improper fraction....\(\frac{2275}{6}\) feet²
or a decimal... \(379.1666667=379.17\) feet².
Find the third side in simplest radical form:
Answers
Answer:
√130Step-by-step explanation:
Using Pythagorean theorem to find the third side
√9²+7² = √81+49=√130Answer:
\(\sqrt{130}\)
Step-by-step explanation:
since the triangle is a right triangle
we can use the Pythagorean theorem to find the hypotenuse
let a=7, b=9, c= ?c² = 7² + 9²c = \(\sqrt{130}\)