Answers
Answer:
Step-by-step explanation:
Here we are going to use the rule which says that
i) equal arc segments subtends equal angles at the circle
ii) The Angle subtended by any arc segment at center is double to that of the angle subtended by the same arc at its circumference.
For more details please refer to the image attached to this problem.
Let us say that the angle subtended by arc mAB at center O = 6∅
Hence , ∠AOB=6∅
Hence ∠ADB = 3∅ ( Rule ii as discussed above )
Also as length of arc mCD = x , the angle subtended by it on the center will be in the same ratio as it was subtended by arc with length 6x
Hence
∠COD=∅
Hence
∠CAD=∅/2
Hence in ΔATD
∠ATD + ∠ADT +∠DAT = 180°
∠ATD + 3∅+∅/2= 180°
∠ATD = 180° - (3∅+∅/2) ----------(A)
Also
∠ATD + ∠ATB = 180°
From (A)
180° - (3∅+∅/2) +∠ATB = 180°
∠ATB = (3∅+∅/2)
∠ATB = (6∅+∅)/2
∠ATB = (7∅)/2
However , in order to find the exact value of∠ATB we need to evaluate ∅, and to find it , we must have some value of x .
Related Questions
Helppppppppppppp!!!!!!
Answers
Answer:
There are 17 girls and 5 boys.Step-by-step explanation:
Let b and g represent the number of boys and the number of girls respectively.
Then b + g = 22 (students), and g = b + 12.
Substituting b + 12 for g in b + g = 22 yields:
b + (b + 12) = 22
or:
2b + 12 = 22, or 2b = 10, so that b = 5.
Then g = b + 12 = 5 + 12 = 17.
There are 17 girls and 5 boys.
Question 1:
For this case, let the variable "x" be the number of girls in the classroom. Let the variable "y" be the number of boys in the classroom.
We propose the equations:
[tex]x + y = 22\\x = y + 12[/tex]
We substitute the second equation in the first:
[tex]y + 12 + y = 22\\2y = 22-12\\2y = 10\\y = 5[/tex]
So, in the classroom there are 5 boys.
[tex]x = 5 + 12\\x = 17[/tex]
So, there are 17 girls.
Answer:
5 guys
17 girls
Question 2:
For this case we have to:
Let x be the variable that represents the amount of money Jamie has.
Let y the variable that represents the amount of money that Kristen has
We have to:
[tex]x = 2y\\x + y = 36[/tex]
We substitute the first equation in the second:
[tex]2y + y = 36\\3y = 36\\y = \frac {36} {3}\\y = 12[/tex]
Looking for the value of x:
[tex]x = 2 (12)\\x = 24[/tex]
Answer:
So, Jaime you have $ 24 and Kristen you have $ 12.
Question 3:
For this case we have to:
Let "x" be the variable that represents the number of dogs in the Pet Stop.
Let "y" be the variable that represents the number of cats in the Pet Stop.
We have to:
[tex]x + y = 15\\4x = y[/tex]
We substitute the second equation in the first:
[tex]x + 4x = 15\\5x = 15\\x = \frac {15} {5}\\x = 3[/tex]
We look for the value of y:
[tex]y = 4x\\y = 4 (3)\\y = 12[/tex]
So, there are 12 cats and 3 dogs.
Answer:
12 cats
3 dogs
A basketball player who shoots 80% from the free throw line attempts 2 free throws. Let Event A be a made first attempt and Event B be a made second attempt.
Which statement about the conditional probability is true?
1 The conditional probability of Event B given Event A is P(B|A)=P(B) when two events are not independent.
2 The conditional probability of Event B given Event A is P(B|A)=P(B)P(A) when two events are independent.
3 The conditional probability of Event B given Event A is P(B|A)=P(A)P(B) when two events are independent.
4 The conditional probability of Event B given Event A is P(B|A)=P(A and B)P(A) when two events are not independent.
Answers
Answer:
he would make one out of the two shots
Step-by-step explanation:
Answer with explanation:
Probability of getting shoot from free throw line= 80% =0.80
Probability of not getting shoot from free throw line = 100% - 80% = 20% = 0.20
A student attempt throwing ,twice from free throw line.
A= First Attempt
B= Second Attempt
→If Events , A and B are Independent,then Probability of A and B is given as
P (A ∩ B)= P(A) × P(B)
→And,Conditional probability of event A has definitely occurred and then probability that event B will occur,when these two events A and B are not Independent, is given by:
[tex]P(\frac{B}{A})=\frac{P(B\cap A)}{P(A)}[/tex]
Option 4: The conditional probability of Event B given Event A is P(B|A)=P(A and B)/P(A) when two events are not independent.
is a negative number plus a negative number a positive or negative number?
Answers
-2 + -2 is the same as -2-2=-4
So is a negative number
Answer:Your answer would be a negative number.
Evaluate g(n-7) if g(x) =x^2-5 / 3x
Answers
Answer:
[tex]g(n-7)=\frac{n^2-14n+44}{3n-21}[/tex]
Step-by-step explanation:
The given function is
[tex]g(x)=\frac{x^2-5}{3x}[/tex]
To find g(n-7), we substitute x=n-7 to obtain;
[tex]g(n-7)=\frac{(n-7)^2-5}{3(n-7)}[/tex]
Expand the parenthesis to obtain;
[tex]g(n-7)=\frac{n^2-14n+49-5}{3n-21}[/tex]
Simplify:
[tex]g(n-7)=\frac{n^2-14n+44}{3n-21}[/tex]
HELP me with all this ASAP urgent!!!!
Answers
Answer:
9. A. (3,-2)
10. B. 43°
11. D. 343 cm²
12. A. 15
Step-by-step explanation:
9.Coordinates for summit/vertex U (2,3) after a rotation of 270 degrees.
Rotating a figure by 270 degrees is exactly like rotating it -90 degrees, crossing down over the X-axis (at least for the two summits that are in the first Quadrant).
Doing so, what we do is invert the coordinate numbers (so 2,3 become 3,2) and we change the sign of the Y-value, since we are now in the 4th quadrant, in a negative Y-value domain.
So, vertex U (2,3) becomes (2,-3) after a 270 degrees rotation.
10. Parallelogram JKLM. Determine angle L real value, using the expressions: ∠J =(6x + 7)° , ∠M =(y + 10)° and ∠L =(4x + 19)° ,
Since it's a parallelogram, we know that ∠J = ∠L, so we create an equation and solve it.
6x + 7 = 4x + 19
2x = 12
x = 6
Then we use that value inside the expression given for L:
∠L =(4x + 19)° = (4 (6) + 19)° = (24 + 19)° = 43°
Answer is 43°
11. 2 similar trapezoidal prisms, 5 and 7 of sides respectively. Surface area of the small one is 175 sq cm, what' the surface area of the larger one?
We know that the two prisms are similar.... so all respective sides will be in the same proportion. We know the scale factor is 1.4 (7/5).
So, to calculate the surface area of any side, we'll have something like that:
SA = 1.4x * 1.4y = 1.96xy (x and y representing the dimensions of the small prism)
So, the surface area of the large one is 1.96 times the one of the small one.
SA = 1.96 * 175 = 343
Answer is then D. 343 cm²
12. For the triangle shown, solve for x.
We know the angle facing the 25 units side is a right angle (90 degrees).
So, we can use the Law of Sines to solve this:
[tex]\frac{c}{sin(C)} = \frac{a}{sin(A)}[/tex]
Let's assume c = x, what we're looking for. C is then 37 degrees. A = 90 degres and a = 25.
We isolate c and solve:
[tex]c = \frac{a * sin(C)}{sin(A)} = \frac{25 * sin(37)}{sin(90)} = 15.05[/tex]
The length of x is 15.05 or 15, answer A.
The function g(x) = x2 - 10x + 24 is graphed on a coordinate plane. Where will the function cross the x-axis?
10 (-6, 0) and (4,0)
O (-2, 0) and (-12, 3
O (4,0) and (6,0)
O (12, 0) and (2,0)
Answers
You can solve it by setting g(x) as 0 so the function would be 0 = x2 - 10x + 24
Answer:
Option C.
Step-by-step explanation:
The given function is g(x) = x² - 10x + 2x which is graphed on a coordinate plane.
We have to find the coordinates of the points at which function crosses x-axis.
As we know the points at which function crosses x-axis, y-coordinates will be 0/
In other words, g(x) = 0
So x² - 10 + 24 = 0
x - 6x - 4x + 24 = 0
x (x-6) - 4(x - 6) = 0
(x-4) (x-6) = 0
x = 4 and 6
So points at x-axis will be (4, 0 ) and ( 6, 0 )
Option C is the answer.
On a math quiz, you earn 10 points for each question answered correctly. In the equation below, x represents the number of questions that you answer correctly on this quiz, and y represents the total number of points you score on this quiz. The relationship between these two variables is modeled by the equation y = 10x.
What is the independent variable?
A) The value of 10 in the equation.
B) The total number of points scored on the exam.
C) The number of questions answered correctly on the exam.
D) The independent variable cannot be determined from the given information.
Answers
Correct option is C. The independent variable in the equation y = 10x is 'x', which represents the number of questions answered correctly on the exam.
In the equation y = 10x, the independent variable is the variable that you have control over or can set the value of freely, which in this context is the number of questions answered correctly on the exam represented by 'x'. The dependent variable, represented by 'y', is the total number of points you score on the exam, which depends on the number of questions you answered correctly. Therefore, the correct answer to the question is C) The number of questions answered correctly on the exam.
A contractor needs to put a carpet in the hallway of a house, the diagram of the houses is below.All of the sides of the figure of 4 feet long except for the two longer sides that are each 8 feet long.All angles in the figure are right angles.WHAT IS THE AREA OF THE HALLWAY?
Please help so confused
Answers
Break it into squared and rectangles and find the area of those first then add it all together
For your square you would get 16 ft squared
For your rectangle you would get 32 ft squared
For your other rectangle you would get 32 ft squared as well
Then add those all together to get the full answer
80 ft squared
Hope this helps :)
Following sequence 0.006 0.012 0.018
Answers
Answer
0.024, 0.030,0,036
Step-by-step explanation:
+0.06 everytime
Answer:
Step-by-step explanation:
Thank you for responding.
Let's pretend you are not dealing with a decimal. Suppose the sequence was
6 12 18 ... and you wanted the next three entries. You would notice that you add 6 to go from 6 to 12. You could also see that you would add 6 to get from 12 to 18.
So the next 3 entries would be 24 30 36.
Now go back to what you are given
0.024
0.030
0.036
No need to be formal. It is just a disguised arithmetic sequence.
Express 28:7 in the form of n:1
Answers
4:1 should be your answer I might be dumb♀️
Answer:
4:1
Step-by-step explanation:
We can divide 28 and 7 by 7
28/7 = 4
7/7 =1
28:7 becomes 4:1
Find the product:
(5/3)(2/3)(21/1)
I preset 21, but please help!
Answers
Answer: [tex]\frac{70}{3}[/tex]
Step-by-step explanation:
Given a fraction [tex]\frac{a}{b}[/tex] and a fraction [tex]\frac{c}{d}[/tex], you can find the product by multiplying the numerator of the first fraction by the numerator of the second fraction and the denominator of the first fraction by the denominator of the second one:
[tex]\frac{a}{b}*\frac{c}{d}=\frac{ac}{bd}[/tex]
Therefore, knowing this you can find the product of the fractions [tex](\frac{5}{3})(\frac{2}{3})(\frac{21}{1})[/tex]:
[tex](\frac{5}{3})(\frac{2}{3})(\frac{21}{1})=\frac{5*2*21}{3*3*1}=\frac{210}{9}[/tex]
And finally you need to reduce the fraction:
[tex]=\frac{70}{3}[/tex]
Answer:
Final answer is [tex]\frac{70}{3}[/tex].
Step-by-step explanation:
Given expression is :
[tex]\left(\frac{5}{3}\right)\cdot\left(\frac{2}{3}\right)\cdot\left(\frac{21}{1}\right)[/tex]
Now we need to find their product. In other words simplify it
We can multiply numerator with numerator. Then denominator with denominator
[tex]\left(\frac{5}{3}\right)\cdot\left(\frac{2}{3}\right)\cdot\left(\frac{21}{1}\right)[/tex]
[tex]=\frac{5\cdot2\cdot21}{3\cdot3\cdot1}[/tex]
[tex]=\frac{210}{9}[/tex]
[tex]=\frac{70}{3}[/tex]
So the final answer is [tex]\frac{70}{3}[/tex].
Jordan has taken 5 tests in his science class. His average score is 80. If Jordan scores 100,a perfect score ,on the remaining 4 test, what will his new average be closest to? A. 87 B. 88 C. 89 D.90
Answers
Answer: It would most likely be D. 90
Step-by-step explanation: When you are dealing with grades, you have to know how to average them. First step is to add all of the points that he earned, this would be 80 + 100 + 100 + 100 + 100 = 480. After you find that, you have to divide it by 5 since he takes 5 tests. 480/5 = 96. I hoped this helped you.
Answer:
I believe that the answer is 90
Step-by-step explanation:
I think it is 90 because if you get 4 more 100%'s it should be a pretty much higher number. And it makes the most sense.
pls help will give brainliest
Answers
Answer:
C, C, C
Hope This Helps! Have A Nice Day!!
if p-1 is a factor of p⁴ + p² + p − k solve for k
Answers
[tex]p-1=p^4+p^2+p-k[/tex]
[tex]-1=p^4+p^2-k[/tex]
[tex]\boxed{k=p^4+p^2+1}\Longrightarrow\boxed{p\in\mathbb{R}}[/tex]
What are the similarities and differences between these data sets in terms of their centers and their variability?
Answers
The median of data set A is less that the median in data set B and the range of data set A is greater than the range of data set B
Sorry if I get it wrong; please rate my answer
Marina’s bread recipe calls for 2/3 of a cup of flour. Which amount of flour represents the same amount?
1/3 of a cup
4/6 of a cup
5/6 of a cup
3/3 of a cup
Answers
Answer:
4/6
Step-by-step explanation:
this is going to be your answer because 2/6 is 1/3 cup and then 4/6 is 2/3 of a cup.
Plz help me with this
Answers
Answer: (3, -1)
Step-by-step explanation:
Add the equations to eliminate y:
x - y = 4
x + y = 2
2x = 6
÷2 ÷2
x = 3
Substitute x = 3 into either of the equations to solve for y:
x + y = 2
3 + y = 2
y = -1
If someone helps me with all these questions I swear I will mark the brainiest and give more than 20 pts!!
Answers
Answer:
1=C 2=D 3=C 4=B 5=C 6=A 7=C 8=A 9=B
Step-by-step explanation:
Can I get brainliest
Also email me at lionking6021
gmai l
Answer:
It's number A
Step-by-step explanation:
Let f(x) = -4x + 7 and g(x) = 2x - 6. Find (fog)(1).
Answers
Answer:
23
Step-by-step explanation:
Basically, (f o g)(1) is saying f(g(1))
So let's plug in 1 into the g(x) equation.
[tex]g(1)=2(1)-6 \\ \\ g(1)=2-6 \\ \\ g(1)=-4[/tex]
Now we can plug in -4 into the f(x) equation.
[tex]f(-4)=-4(-4)+7 \\ \\ f(-4)=16+7 \\ \\ f(-4)=23[/tex]
23
Step-by-step explanation:
This is a problem of composition of function. We can define this as follows:
[tex]The \ \mathbf{composition} \ of \ the \ function \ f \ with \ the \ function \ g \ is:\\ \\ (f \circ g)(x)=f(g(x)) \\ \\ The \ domain \ of \ (f \circ g) \ is \ the \ set \ of \ all \ x \ in \ the \ domain \ of \ g \\ such \ that \ g(x) \ is \ in \ the \ domain \ of \ f[/tex]
So [tex](f.g)(x)=f(g(x))=h(x)[/tex]:
[tex]h(x)=-4(2x-6)+7 \\ \\ h(x)=-8x+24+7 \\ \\ h(x)=-8x+31[/tex]
Therefore:
[tex]h(x)=f(g(1))=-8(1)+31=23[/tex]
At 2:45 p.m., a jet is located 56 mi due east of a city. A second jet is located 30 mi due north of the city. To the nearest tenth of a mile, what is the distance between the two jets?
Answers
The answer is:
The distance between the two jets is 63.5 mi.
Why?From the statement we know that the first jet is located 56 mi due to the east city while the second jet is located 30 mi due to the north, so, we can calculate the distance between the two jets using the Pythagorean Theorem.
The Pythagorean Theorem states that:
[tex]c^{2}=a^{2} +b^{2}[/tex]
So,
[tex]Distance=\sqrt{(Jet_{1}Location)^{2}+(Jet_{2}Location)^{2}}\\\\Distance=\sqrt{(56mi)^{2}+(30mi)^{2}}=\sqrt{3136mi^{2}+900mi^{2}} \\\\Distance=\sqrt{3136mi^{2}+900mi^{2}}=\sqrt{4036mi^{2}}=63.5mi[/tex]
Hence, the distance between the two jets is 63.5 mi.
Have a nice day!
An Employee has an annual salary of $55,000 if an employee is paid weekly, what is the employee’s gross pay for the pay period?
Answers
Answer:
$1057.69/week
Step-by-step explanation:
There are 52 weeks in a year.
Thus, the weekly pay is in the area of:
$55,000
------------------ = $1057.69/week
52 weeks
Susan has $15 gift certificate to use at her favorite clothing store. She chooses a T-Shirt that cost $5.78, a pair of jeans that cost $19.87, and a jacket that cost $24.99.
If she uses her gift certificate, how much money will Susan need to pay?
Answers
Answer:
$35.64
Step-by-step explanation:
First, add all the things she bought.
$5.78 + $19.87 + $24.99 = $50.64
Next, subtract the total with the $15 gift certificate.
$50.64 - $15 = $35.64.
A $649 laptop computer cost $519.20 after a coupon is applied. What percentage off is the coupon?
Answers
Answer: 20%
Step by Step Explanation:
Start by subtracting 519.29 from 649, you would get 129.8
Then take 129.8 and divide that by 649.
You get 0.2 which equals 20%
Tip: To find the percent of a fraction you divide the numerator by the denominator. For example, if you want to find the percent on a test, and you get a 8/10 you just divide 8 by 10. Which obviously equals 80.
Answer:
1.25
Step-by-step explanation:
$649 ÷ 1.25 = $519.20 Double check your answer over by doing the following step.. $519.20 × 1.25 = $649
Find the value of x.
A) 55
B) 60
C) 70
D) 125
Answers
Answer:
x = 70°
Step-by-step explanation:
The given triangle has 2 equal sides and is therefore isosceles.
The base angles are equal, both 55°
To find x subtract the sum of the 2 angles from 180
x = 180° - (55 + 55)° = 180° - 110° = 70°
I’m going to need help completing this. Please it’s due tomorrow!!!!
Answers
Answer:
the volume is 10.56 rounded is 11
Step-by-step explanation:
1/3*4*8=10.56
How many vertices does the following shape have?
Answers
That is a cuboid.
Cuboids have 8 vertices
As we are looking at the given shape, we have identified that it has 8 vertices.
A cuboid has three pairs of opposite faces. Each pair consists of two congruent rectangles that are parallel to each other. For instance, let's label the length, width, and height of the cuboid as "a," "b," and "c," respectively.
Length faces: These are the two large faces on the opposite sides of the cuboid, each measuring "a" units in length and "c" units in height. They contribute 4 vertices, two on the top edge and two on the bottom edge.
Width faces: These are the two smaller faces on the opposite sides, each measuring "b" units in width and "c" units in height. Like the length faces, they also contribute 4 vertices.
Height faces: These are the top and bottom faces of the cuboid, each measuring "a" units in length and "b" units in width. They contribute 4 vertices as well.
Now, it's essential to note that each vertex is a point where three edges meet. A cuboid has three edges meeting at each of its eight vertices. However, the four vertices on the top of the cuboid are not the same as the four vertices on the bottom; they belong to different faces. Hence, we cannot count them twice.
Thus, a cuboid has a total of 8 vertices.
To know more about vertices here
https://brainly.com/question/29154919
#SPJ2
which matrix equation represents the system of equations?
Answers
The first answer choice
A system of equations can be represented by a matrix equation. The coefficients of the equations are used to form the matrixes, which can then be solved simultaneously.
Explanation:A system of equations can be represented by a matrix equation using the coefficients of the equations. Let's say you have the following system of equations, where 1. 3x + 2y is equal to 9, and 2. 4x + 5y is equal to 6.
We express this system in the form AX=B, where A is the matrix of coefficients, X is the column matrix of variables, and B is the column matrix of constants. So in this case:
A = [[3, 2], [4, 5]]
X = [x, y]
B = [9, 6].
Adding these together, we can form the matrix equation [[3, 2], [4, 5]] [x, y] = [9, 6]. This represents the given system of equations in matrix form.
Learn more about Matrix Equation here:https://brainly.com/question/33511548
#SPJ2
Miguel is drawing right triangle ABC in a coordinate plane. Where could point C be located to complete the right triangle? A) (3, 6) B) (2, 4) C) (-2, 4) D) (2, -2)
Answers
Answer:
its A
Step-by-step explanation:
Answer:
A) (3, 6)
Step-by-step explanation:
You are going to rent a car to drive while you are on vacation. There are two car rental packages for you to choose from. The fist package offers a $120 per day flat rate. The second package offers a $100 flat rate plus $0.55 per mile. How many miles would you need to drive while on vacation in order to make the first package the better deal? A.24 miles B. 28 miles C . 32 miles D.37 miles E.45 miles
Answers
Answer:
E. 45 miles
Step-by-step explanation:
The difference between the packages is $20. You would need to drive at least 40 miles since 40(0.5) =$20. The best answer is E. 45 miles
You would need to drive 37 miles for the first package ($120 flat rate per day) to be a better deal than the second package ($100 flat rate plus $0.55 per mile).
To determine how many miles you would need to drive for the first package to be a better deal, we need to set up an equation where the cost of both packages is equal. The first package costs a flat rate of $120 per day, while the second package costs a $100 flat rate plus $0.55 per mile. We can write these costs as equations:
First Package: Cost1 = $120Second Package: Cost2 = $100 + $0.55m, where m is the number of miles driven.To find the number of miles required to make the first package cost the same as the second, we set Cost1 equal to Cost2:
$120 = $100 + $0.55m
Solve for m:
$120 - $100 = $0.55m
$20 = $0.55m
m = $20 / $0.55
m = 36.36
Since we need a whole number of miles and it's not an option given in the multiple choices, we can conclude you would need to drive 37 miles for the first package to be the better deal, since after 36 miles, the second package becomes more expensive.
someone help please
Answers
?=6
?=-22
each of them add or subtract 12