Answers
Answer:
63
Step-by-step explanation:
Hi there!
In order to find the answer to this question we must know about:
The angles of intersecting chords theorem
The theorem states that if two chords intersect the angles formed at the intersection is equal to half the sum of its intercepted arc and it's vertical angle's intercepted arc.
Angle ABC is formed by intersecting chords meaning that the measure of angle ABC is equal to half the sum of its intercepted arc + it's vertical angle's intercepted arc ( angle ABC vertical angle is angle EBD. Angle EBD's intercepting arc is arc ED. )
Angle ABC intercepted arc is AC
Hence Angle ABC = 1/2 ( arc AC + arc ED)
Arc ED = 44 and arc AC = 82
Thus, angle ABC = 1/2(82 + 44)
82 + 44 = 126
126/2=63
Hence Angle ABC = 63
Related Questions
A ball is thrown vertically with a velocity of18 m/s. It’s height, h, in meters above the ground after t seconds is given by the equation: h= -5t2+10t+35. Algebraically, determine the following.
Find The maximum height of the ball and the time it takes to reach that height
The time it takes the ball to hit the ground.
PLEASE HELP!
Answers
Answer:
Step-by-step explanation:
First of all, something is wrong with either the wording in the problem or the equation that you wrote; if the upward velocity is 18, we should see 18t in the equation, not 10t. I solved using 10t.
To find the max height of the ball and the time it took to get there, we need to complete the square on this quadratic and solve for the vertex. That will give us both of those answers in one!
To complete the square, set the quadratic equal to 0 and then move over the constant, like this:
[tex]-5t^2+10t=-35[/tex] The rule is that we have to have a 1 as the leading coefficient, and right now it's a -5, so we factor that out, leaving us with:
[tex]-5(t^2-2t)=-35[/tex] and now we are ready to begin the process to complete the square.
The rule is: take half the linear term, square it, and add it to both sides. Our linear term is a -2 (from the -2t); half of -2 is -1, and -1 squared is 1. We add in a one to both sides. BUT when we put the 1 into the set of parenthesis on the left, we didn't just add in a 1, we have that -5 out front that is a multiplier. That means that we actually added in a -5 after it's all said and done.
[tex]-5(t^2-2t+1)=-35-5[/tex] and we'll clean that up a bit. The right side is easy, that's a -40. The left side...not so much.
The reason we complete the square is to put this quadratic into vertex form. Completing the square creates a perfect square binomial on the left, which for us is, along with the simplification on the right:
[tex]-5(t-1)^2=-40[/tex]
Lastly, we move the -40 back over by adding and setting the quadratic back to equal y:
[tex]-5(t-1)^2+40=y[/tex] and we see that the vertex is (1, 40). That translates to a height of 40 meters at 1 second after launch. That's the vertex which, by definition, is the max or min of the parabola. Because our parabola is negative, the vertex for us is a max.
To find out how long it takes the ball to hit the ground, set the quadratic equal to 0 and factor however it is you are currently doing this in class. You can continue to factor from the vertex form we have the equation in if you'd like. Let's do that, since we are already most of the way there. Begin here:
[tex]-5(t-1)^2=-40[/tex] and divide both sides by -5 to get
[tex](t-1)^2=8[/tex] and take the square root of both sides to "undo" that squaring on the left:
t - 1 = ±√8. Now add 1 to both sides to isolate the t:
t = 1 ± √8. In decimal form:
t = 1 + √8 is 3.828 seconds and
t = 1 - √8 is -1.828 seconds.
Since we all know that time will NEVER be a negative value, the time it takes the ball to hit the ground is 3.828 seconds.
Solve the proportion.
14
y +9
-
10
15
y = [?]
Answers
Answer:
y=12
Step-by-step explanation:
14 10
----- = --------
y+9 15
Using cross products
14*15 = 10 (y+9)
210 = 10(y+9)
Divide by 10
210/10 = 10(y+9)/10
21 = y+9
Subtract 9
21-9 = y
12 =y
A diver begins at 140 feet below sea level. She descends at a steady rate of 7 feet per minute for 4.5 minutes. Then, she ascends 112.2 feet. What is her current depth?
Negative 549.3 feet
Negative 59.3 feet
59.3 feet
549.3 feet
Answers
Answer:
Step-by-step explanation:
starting point: 140 feet below sea level.=-140
she then decends= 7(4.5)=31.5
-140-31.5=-171.5
finally she ascends 112.2 feet
-171.5+112.2=-59.3 feet or 59.3 feet below sea level
Answer:
It's B
Step-by-step explanation:
Second time posting this. Please help!! :)
Answers
Answer:
Step-by-step explanation:
[tex]\frac{480+24(x-40)}{x}[/tex]
The numerator of the rational expression the money he earned for 'x' hours
The rate at which William is paid for each hour in excess of 40 hours 24.
x = 50 hours = (40 + 10 ) hours
The amount paid for excess 10 hours = 24 *10 = 240
Total amount earned for the week = 480 + 240 = 720
Identify the range of the function shown in the graph.
Answers
Answer: The answer is all real numbers
Step-by-step explanation:
This is the answer because the line goes on infinitely and will pass through all of the numbers (negative, positive). Its not y [tex]\geq \\[/tex] 0 because it passes through 0 when the line goes through x (side to side) axis.
how to solve (n^(3)+3n^(2)+3n+28)-:(n+4) in long polynomial division?
Answers
Answer:
Open the image. (Hope you don't mind about bad writing)
A rectangle is twice as long as it is wide. Its width is 51⁄2 cm. Find the area of the rectangle.
Answers
Step-by-step explanation:
The are of rectangle is 1300.5cm2
what is x(2)+y(6) if x=4 and y=(-4)
Also, can anyone just talk?
Answers
Answer:
-16
Step-by-step explanation:
Follow . PEMDAS
plug the numbers in
4*2 =8 and -4*6=24
add both...
-16.
Step-by-step explanation:
4(2)+(-4)(6)
8-24
-16
hope it helps..
There are 5 brown horses and 4 tan horses in a barn. Sonia will randomly select two horses to ride with her friend. What is the probability that
the first horse selected is tan and the second horse selected is brown?
20/81
5/18
2/9
1/20
Answers
Answer:
5/18
Step-by-step explanation:
The total number of horses present is 9
The probability that the first selected horse is tan is 4/9
So , now for the second choice , we are left with 8 total horses of which 5 is brown
The probability is 5/8
So the joint probability is the product of this two
That will be;
5/8 * 4/9 = 5/18
Question 18 A block has a volume of 12 cm3 and a density of 25 g/cm. Calculate the mass.
Answers
Answer:
300 gStep-by-step explanation:
Mass = volume * density
Mass = 12*25 = 300 g
Answer:
300 g
Step-by-step explanation:
density = mass / volume
25g/cm^3 = mass / 12 cm^3
25 * 12 = mass
300 = mass
1 by 8 of the passenger of a train where children is there where 40 children traveling in the train on a Saturday how many Abbott were there in that that day?
Answers
Answer:
200 adults
Step-by-step explanation:
1/8 of the passengers (children) is 40
Total passengers in the train is 8/8
Therefore to get the total number of passengers is given by
(8/8) × 40 × (8/1)
= 240 passengers
Adults in the train = Passengers - Children
= 240 - 40
= 200 adults
I’m horrible at math and I need to study for the TSI. Help? 4/5+1/10+5/6
Answers
Answer:
4 ÷ 5 + 1 ÷ 10 + 5 ÷ 6 = 1.733
Step-by-step explanation:
One thing you can do is make the denominator equal.
4/5(2/2) + 1/10 = 8/10+1/10 = 9/10
9/10 +5/6
Or you could cross multiply, by multiplying the denominator with the opposite numerator (this is the numerator) then multiply the denominator ( this is the denominator)
(6(9)+5(10))/6(10) = 104/60 then simplify to 26/15
Please help me I honestly have zero clue how to answer this question
Answers
Step-by-step explanation:
[tex]n = 3 \times 5 {}^{2} \times {x}^{3} [/tex]
Square both sides of the equation.
[tex]{n}^{2} = (3 {}^{2} \times 5 {}^{4} \times {x}^{6} )[/tex]
[tex]5 {n}^{2} = 5(3 {}^{2} \times {5}^{4} \times {x}^{6} )[/tex]
Three events A, B and C are defined over a sample space, S. Events A and B are independent. Events A and C are mutually exclusive. Given that P(A)= 0.04, P(B)=0.25, P(C)=0.20 and P(B/C)=0.15. Find for P(C/B)
Answers
Answer:
[(b/c)=0.15)]
Step-by-step explanation:
===================================================
Work Shown:
P(B/C) = P(B and C)/P(C) ... conditional probability formula
P(B and C) = P(C)*P(B/C)
P(B and C) = 0.20*0.15
P(B and C) = 0.03
------------
P(C/B) = P(C and B)/P(B) .... note the swap of B and C
P(C/B) = P(B and C)/P(B)
P(C/B) = (0.03)/(0.25)
P(C/B) = 0.12
------------
Extra notes:
The fact that events A and B are independent is not relevant.The fact A and C are mutually exclusive isn't used here either.This problem can be solved through Bayes' Theorem.Another alternative you can do is to set up a 3 by 3 contingency table to help solve this problem.Someone please help me!! I don’t know the answer!!
Answers
Answer:
Step-by-step explanation:
Remark
The measurement of the arc is 3Pi
that represents 108 / 360 of the circle.
Equation
108/350 2 * pi * R = 3* pi
Solution
Pi is on both sides of the equation. They both cancel.
108/360 = 0.3
0.3 * 2 * R = 3
0.6 * R = 3
R = 3/0.6
R = 5
dididjdjdjdhjdjdh < so that i could answer
If you roll a standard number cube 42 times, how many times do you expect the cube to show a five?
Round your answer to the nearest whole number if needed.
Answers
Answer:
5
Step-by-step explanation:
this is probability
probability of 5 occuring once is = 5/42=0.119
therefore, probability of 5 occuring in 42 times is;
42 x 0.119=4.998
approximately 5
If the radioactive half-life of a substance is 20 days, and there are 5 grams of it initially. When will the amount left be 2 grams? Round to the nearest tenth of a day.
Answers
Answer: [tex]26.4\ \text{days}[/tex]
Step-by-step explanation:
Given
Half life of radioactive substance is [tex]T_{\frac{1}{2}}=20\ \text{days}[/tex]
Initial amount [tex]A_o=2\ \text{days}[/tex]
Amount left at any time is given by
[tex]\Rightarrow A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}\\\\\Rightarrow 2=52^{\dfrac{-t}{20}}\\\\\Rightarrow 0.4=2^{\dfrac{-t}{20}}\\\\\Rightarrow 2^{\dfrac{t}{20}}=2.5\\\\\Rightarrow \dfrac{t}{20}\ln 2=\ln (2.5)\\\\\Rightarrow t=\dfrac{20\ln (2.5)}{\ln 2}\\\\\Rightarrow t=26.4\ \text{days}[/tex]
It takes 26.4 days to reach 2 gm.
Express 34C21 as a sum of two terms from pascals triangle.
Answers
Given:
The combination is:
[tex]^{34}C_{21}[/tex]
To find:
The [tex]^{34}C_{21}[/tex] as the sum of two terms from pascals triangle.
Solution:
According to the pascals triangle:
[tex]^{n+1}C_{r+1}=^nC_r+^nC_{r+1}[/tex]
We have,
[tex]^{34}C_{21}[/tex]
Using the pascals triangle formula, we get
[tex]^{34}C_{21}=^{33}C_{20}+^{33}C_{21}[/tex]
Therefore, [tex]^{34}C_{21}=^{33}C_{20}+^{33}C_{21}[/tex].
Lucia gave Brenda half of the cash she had in the store counter at the end of the day. Brenda put the money in her purse and added one half of the amount she had from her own savings. Brenda had saved half of what Lucia earned in the store that day. Brenda took her purse and went to the dog shelter and brought food and treat packet for 5 dogs. Each packet cost her $15. How much money did Lucia earn at the store that day?
Answers
Answer:
$100
Step-by-step explanation:
The amount Lucia gave Brenda = Half the amount in the store counter
The amount Brenda added to the money Lucia gave her = Half the amount in her (Brenda) savings
The amount Brenda had saved = Half of the amount Lucia earned in the store that day
The number of food and treat packets Brenda bought = 5
The cost of each packet = $15
Let x represent the amount Lucia earned and let y represent the amount Brenda saved
We have;
x/2 = y
x/2 + y/2 = 15 × 5 = 75
Therefore, we get;
y + y/2 = 75
(3/2)·y = 75
y = 75 × 2/3 = 50
y = 50
From x/2 = y, we have;
x/2 = 50
x = 2 × 50 = 100
The amount Lucia earned in her store that day, x = $100
In a jail cell, there are 5 Democrats and 6 Republicans. Four of these people will be
chosen for early release. How many 4-person groups are possible?
Answers
two because there is 11 people in total and you have two 4 person groups so that would leave 3 people left and you cant make a 4 person group w 3 people
Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.
If in a jail cell, there are 5 Democrats and 6 Republicans, the possible ways to form a group of 4 is 330.
The number of possible groups is 330.
What is combination?Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.
It is given as:
[tex]^nC_r = \frac{n!}{r!(n-r)!}[/tex]
We have,
The total number of people:
5 Democrats and 6 Republicans = 5 + 6 = 11.
The number of persons in a group = 4.
The number of groups possible are:
= [tex]^{11}C_4[/tex]
= 11! / 4! ( 11-4)!
= 11! / 4! 7!
= 11 x 10 x 9 x 8 / 4 x 3 x 2
= 330
Thus,
The number of possible groups is 330.
Learn more about combination here:
brainly.com/question/2970011
#SPJ2
A ball is thrown into the air with an upward velocity of 36 ft/s. It’s height h in feet after t seconds is given by the function h = -16t^2 + 36t + 9. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the balls maximum height ?
Answers
Answer:
Time taken for the ball to hit the ground back = 3.08 s
Step-by-step explanation:
h(t)= -16t² + 48t + 4
when will rhe object come back to hit rhe ground?
When the ball is at the level.of the ground, h(t) = 0.
0 = -16t² + 48t + 4
-16t² + 48t + 4 = 0
Solving the quadratic equation
t = 3.08 s or t = -0.08 s
Since the time cannot be negative,
Time taken for the ball to hit the ground back = 3.08 s
Hope this Helps!!!
Step-by-step explanation:
S is the centroid of the triangle. Find IT if ST= 9
Answers
Answer:
IT = 13.5
Step-by-step explanation:
Recall: According to the Centroid theorem the Centroid of is ⅔ of the distance of the vertex of the triangle to the midpoint of the opposite side.
This means that:
ST = ⅔(IT)
ST = 9 (given)
Substitute
9 = ⅔(IT)
Multiply both sides by 3
3*9 = 2(IT)
27 = 2(IT)
Divide both sides by 2
27/2 = IT
IT = 13.5
Grade improvement and study motivation
Answers
Answer:
yes you are write because when our results come with good marks and grade the we are motivate .
Step-by-step explanation:
thanks mark me brainlist
please help i will give brainliest (check both images)
Answers
Answer:
Amanda's box holds more popcorn.
Amanda's box holds 70 m³ more than Mary's.
Step-by-step explanation:
Find the volume of both boxes.
13.5 x 10 x 10 = 1350.
20 x 8 x 8 = 1280.
As clearly shown, Amanda's box holds more popcorn.
To find how much more, subtract 1,280 from 1,350 to get 70 m³.
Hope this helps!
If there is something wrong, please let me know.
2cm + 5cm + 6.4cm cuboid
Answers
Answer:
64 volume of the cuboid
formula used is lbh multiplies together.
Mark me as brainliest
Hope it helps:)
Step-by-step explanation:
Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8).
Answers
Answer:
Ax + By = C is standard form.
y + 1 = (2/3)(x - 8)
distribute the (2/3)
y + 1 = (2/3)x - (16/3)
Multiply each term by 3 to clear the fractions.
3y + 3 = 2x - 16
Subtract 2x from both sides.
-2x + 3y + 3 = - 16
Subtract 3 from both sides.
-2x + 3y = - 19
Correct form typically has the leading coefficient as a positive number so multiply each term by - 1.
2x - 3y = 19
Step-by-step explanation:
Answer:
The answer is 2x + -3y = 19
Step-by-step explanation:
got it right on edge
an umbrella is made by stitching 10 triangular pieces of cloth of two different colours where each pieces measuring 48cm,48cm,and 30cm. find cost of required to make umbrella at rate of 5paisa per square cm.
help plz plz .......
Answers
Given:
An umbrella is made by stitching 10 triangular pieces of cloth.
Each pieces measuring 48cm,48cm, and 30cm.
To find:
The cost of required to make umbrella at rate of 5 paisa per square cm.
Solution:
Area of a triangle is:
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where,
[tex]s=\dfrac{a+b+c}{2}[/tex]
Each pieces measuring 48cm,48cm, and 30cm. So,
[tex]s=\dfrac{48+48+30}{2}[/tex]
[tex]s=\dfrac{126}{2}[/tex]
[tex]s=63[/tex]
Area of one triangular piece is:
[tex]A=\sqrt{63(63-48)(63-48)(63-30)}[/tex]
[tex]A=\sqrt{63(15)(15)(33)}[/tex]
[tex]A=\sqrt{467775}\text{ cm}^2[/tex]
[tex]A\approx 683.9408\text{ cm}^2[/tex]
Area of 10 triangular pieces is:
[tex]10\times 683.9408=6839.408\text{ cm}^2[/tex]
The rate is 5 paisa per square cm. So, the total cost is:
[tex]6839.408\times 5=34197.04[/tex]
Therefore, the total cost is 34197.04 paisa.
find the missing length indicated.
Answers
Answer:
The answer is 192 bestie btw im a freshmen
Step-by-step explanation:
Find AC, given that line AD is the perpendicular bisector of BC
Answers
Answer:
wouldn’t it just be 21? because both are the same but mirrored
To make a disinfecting solution, Alana mixes 2 cups of bleach with 5 cups of
water. What is the ratio of water to the total amount of disinfecting solution?
Answers
Answer:
Step-by-step explanation:
Ok
