Answers
Answer:
x = 125
Step-by-step explanation:
Tangents from an external point to a circle are congruent , that is
CA = CB
Then Δ ABC is isosceles with base angles being congruent
∠ BAC = ∠ ABC = [tex]\frac{180-70}{2}[/tex] = [tex]\frac{110}{2}[/tex] = 55°
∠ ABC and x are adjacent angles on a straight line and sum to 180° , so
x = 180° - 55° = 125°
Then x = 125
Related Questions
Johnny kicks a ball into the air. Assume the path of the ball can be modeled with a quadratic function. The ball reaches a height of 10 feet and lands on the ground 3 seconds later. Draw and label a graph that models the path of the ball. Write an equation that models the path of Johnny’s ball.
Answers
An equation that models the path of Johnny’s ball is [tex]y = -\frac{40}9(x - 1.5)^2 + 10[/tex]
The maximum height is given as:
[tex]h_{max}= 10ft[/tex]
And the time spent is:
[tex]t = 3s[/tex]
So, the vertex of the ball would be:
[tex]Vertex = (t/2,h_{max})[/tex]
This gives
[tex]Vertex = (3/2,10)[/tex]
[tex]Vertex = (1.5,10)[/tex]
Rewrite properly as:
[tex](h,k) = (1.5,10)[/tex]
The ball is on the floor after 3 seconds.
So, another point on the graph is:
[tex](x,y) = (3,0)[/tex]
A quadratic equation is represented as:
[tex]y=a(x - h)^2 + k[/tex]
Substitute [tex](x,y) = (3,0)[/tex] and [tex](h,k) = (1.5,10)[/tex] in [tex]y=a(x - h)^2 + k[/tex]
[tex]0=a(3 - 1.5)^2 + 10[/tex]
[tex]0=a(1.5)^2 + 10[/tex]
Evaluate the exponent
[tex]0=2.25a + 10[/tex]
Subtract 10 from both sides
[tex]2.25a =- 10[/tex]
Divide both sides by 2.25
[tex]a = -\frac{10}{2.25}[/tex]
Multiply by 4/4
[tex]a = -\frac{40}{9}[/tex]
Substitute [tex]a = -\frac{40}{9}[/tex] and [tex](h,k) = (1.5,10)[/tex] in [tex]y=a(x - h)^2 + k[/tex]
[tex]y = -\frac{40}9(x - 1.5)^2 + 10[/tex]
See attachment for the graph that models the path
Read more about quadratic functions at:
https://brainly.com/question/11441586
Mr. Jackson likes to play a game in which rolling a 4 on a number cube doubles your score. He wants to know the probability that he will roll a 4 exactly 3 times out of 10 rolls. Define the variables for describing a binomial probability, and identify their values in this experiment.
Answers
Answer:
Step-by-step explanation:
Binomial Probability
P(x) = n!/(n-x)!x! * p^x q^(n-x)
P(x) = probability there will be x required outcomes (here x is 3)
n = number of trials (here it is 10)
p = probability of 1 required outcome (getting a 4) on a single roll ( = 1/6).
q = probability of required outcome not occurring on a single roll.
p = 1/6
q = 1 -1/6 = 5/6
n = 10
x = 3
So the required probability
= 10!/ 7!3! (1/6)^3 (5/6)^7
= 0.155.
Write an absolute value inequality to represent the situation.
What is the range of the number for calories in the chicken.
The menu at Jeanne's favorite restaurant states that the roasted chicken with vegetables entree typically contains 480 Calories. Based on the size of the chicken, the actual number of Calories in the entree can vary by as many as 40 Calories from this amount.
Answers
Answer:
|x-480|<=40
Step-by-step explanation:
The absolute distance on the number-line from x to 480 has to be 40.
|x-val| <= error-margin
|x-480| <= 40
Evaluate.
[2−∣∣−14−2(−35)∣∣]÷(−6)
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Answers
-7/40
/////
I honestly didn't know how to do this one. But thats the correct answer.
The solution of the mathematical expressions will be 0.175.
What is Number system?
A system of writing to express the number is called number system.
Given that;
The mathematical expressions are,
⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6
Now,
Solve the mathematical expression as;
⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6
Using the BODMAS rule to solve the expressions as;
⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6
⇒ [ 2 - | - 1/4 + 6/5 | ÷ -6
⇒ [ 2 - 19/20 ] ÷ -6
⇒ [ 21/20] ÷ -6
⇒ 21/20 x 1/-6
⇒ - 7 / 40
Therefore,
The solution of the mathematical expressions will be 0.175.
Learn more about the mathematical expression visit:
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A survey of 2,541 American households discovered that 64% of the households own one car.
what is the population?
what is the sample?
Answers
Answer:
See below
Step-by-step explanation:
The population is all American households
The sample is 2,541 of those American households
what the vertical height of a hemisphere
Answers
Answer:
V= (2/3) π r³
hope this helps :>
Consider the numbers 54.162 and 5,416.2. Which statements accurately reflect the relationship between the "6" in each number?
Select two (2) that apply.
The 6 in 54.162 has a greater value than the 6 in 5,416.2
The 6 in 54.162 has a smaller value than the 6 in 5,416.2.
a
The value of the 6 in 5,416.2 is 10 times greater than the value of the 6 in 54.162.
The value of the 6 in 54.162 is 10 times greater than the value of the 6 in 5, 416.2.
The value of the 6 in 5,416.2 is 100 times greater than the value of the 6 in 54.162.
The value of the 6 in 54.162 is 100 times greater than the value of the 6 in 5,416.2.
Answers
Answer:
1) The value of the 6 in 5,416.2 is 100 times greater than the value of the 6 in 54.162.
2) The 6 in 54.162 has a smaller value than the 6 in 5,416.2.
Step-by-step explanation:
1) 0.06 times 100 equals 6
2) 0.06 < 6
Bus A and Bus B leave the the bus depot at 2 pm.
Bus A takes 15 minutes to complete its route once and bus B takes 25 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have have no breaks in between routes.
Give your answer as a 12-hour clock time.
Answers
Answer:
3:15 pm
Step-by-step explanation:
You can imagine that they go in a circle (we can do whatever we want in theoretical math and physics). By doing so we know we can obtain a cosinusoidal wave by projecting the motion on a plane. Each one of the buses has a period (minimum time after what they're in the same point again). For the first one it's 15 minutes, for the second one it's 20 minutes. We have to take the least common multiple of the periods, that is 75 minutes. So They'll meet every 75 minutes. Add 75 minutes (1h and 15 minutes) to 2pm and there you go.
Graph the line with the equation
y = -1/3x + 4.
Answers
Answer:
Answer in the image
Step-by-step explanation:
How i can answer this question
Answers
Answer:
B
D
C
Glad I coild help you out.
Answer:
B,C and D
Step-by-step explanation:
They all expand back to 16x + 20.
Which expression is equivalent to
(5x10^-3+(6x10)^3
2.2x10^4
A. 5 x 10
B. 5 x 101
C. 5 x 10-10
D. 5 x 107
Answers
Answer:b
Step-by-step explanation:
i cant fail this class
Answers
Answer:
what are you asking?
Step-by-step explanation:
Evaluate the figure below.
Find the value of x.
Formula for area of a rectangle: A = lw
Answers
Answer:
x=9,-7
Step-by-step explanation:
(x+3)(x-5)=48
x^2-2x-15-48=0
x^2-2x-63=0
(x-9)(x+7)=0
x=9,-7
dont use the negative number becuase it would not make sense in this scenario
width = 12
length=4
Can someone help me with this please.
Answers
Answer:
x = 29
Step-by-step explanation:
(x + 3) + (x - 1) + (x + 1) = 90
3x + 3 = 90
3x = 87
x = 29
Answer:
x = 29
Step-by-step explanation:
(x+3)+(x-1)+(x+1) = 90
90 = 3x +3
3x = 87
x = 29
Adrian purchases a book for $4.86 and a poster for $3.44. If she gives the cashier
$15.00, how much change should she receive? (Don't worry about taxes!)
Answers
Answer:
$6.70
Step-by-step explanation:
Adrian purchases a book for 4.86 and a poster for 3.44
The total amount he owes would be 4.86 + 3.44 = $8.30
If she gives the cashier 15 dollars she should receive 15 - 8.30 = $6.70 back.
Help please, I don't know how to get the measurements for the angles.
Answers
the only one i could figure out was that q= 24 and i think r=48
pls help this a math question. image below
Answers
Answer:
D
Step-by-step explanation:
Same X, but different Y value, it is five apart in D
Which equation represents the line through (0,0) and (3, 4)?
O A. y = x
O B. y = 4x
O C. y = 2
O D. y = 3x
Answers
Answer:
y=4/3x
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-0)/(3-0)
m=4/3
y-y1=m(x-x1)
y-0=4/3(x-0)
y=4/3(x)
y=4/3x
What percent is a gram of a kilogram
Answers
Answer:
0.1 percent
Step-by-step explanation:
what are Two numbers that can add to 7 but multiply to -30
Answers
[tex]x + y = 7~~~.....(i)\\\\xy=-30~~~~......(ii)\\\\\\\text{From (ii):}\\\\y= -\dfrac{30}x~~~~....(iii)\\\\\\\text{Substitute equation (iii) in equation (i):}\\\\\\x- \dfrac{30}x = 7\\\\\implies x^2 -30 = 7x\\\\\implies x^2 -7x -30 =0\\\\\implies x^2 -10x +3x -30 =0\\\\\implies x(x-10) +3(x-10) =0\\\\\implies (x+3)(x-10)=0\\\\\implies x = -3 ~~\text{or}~~ x=10\\\\\text{Substitute x = 10 in equation (iii):}\\\\\\y= -\dfrac{30}{10} =-3\\\\[/tex]
[tex]\text{Substitute x = -3 in equation (iii):}\\\\y = \dfrac{-30}{-3} =10\\\\\\\text{So, (x,y) =(10,-3) and (x,y)=(-3,10)}\\\\\\\text{Hence, the two numbers are}~ 10~ \text{and}~ -3.[/tex]
Annabelle picked 65 apples at a local orchard. 40% of the apples were green apples. How many green apples did Annabelle picked
Answers
26 green apples
if you do 0.4 * 65 you get 26 which is 40% of 65
hope this helps!
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Linear Inequalities: Mastery Test
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to the following linear inequality in the coordinate plane.
21 + y > 4
Click on a tool to begin drawing
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А,
Line
10
Dashed Line
8
Shaded Region
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-10
8-7-6-5-4
-32
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8
9
10
-2
2021 Edmentum. All rights reserved.
Answers
Answer…
The inequality [tex]2x + y >4[/tex] has a slope of -2, and the y-intercept of 4
The inequality is represented as:
[tex]2x + y >4[/tex]
Subtract 2x from both sides
[tex]y >4 - 2x[/tex]
Rewrite the inequality as:
[tex]y >- 2x+4[/tex]
The linear inequality is represented as:
[tex]y >mx+c[/tex]
Where:
m represents the slopec represents the y-interceptSo, by comparison:
[tex]m = -2[/tex]
[tex]c = 4[/tex]
This means that the inequality [tex]2x + y >4[/tex] has a slope of -2, and the y-intercept of 4
See attachment for the graph of the inequality
Read more about inequalities at:
https://brainly.com/question/11234618
The number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011. The number of international tourist arrivals in Russia was k million more in 2012 than in 2011. What is the value of k to the nearest integer
Answers
The value of k to the nearest integer is 21
Let the number of international tourist arrivals in Russia in 2011 be kIf the number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011 will be expressed as:
k = 24.7 - (13% of 24.7)
k = 24.7 - (0.135 * 24.7)
k = 24.7 - 3.3345
k = 21.3655
Hence the value of k to the nearest integer is 21
Learn more on decrement here: https://brainly.com/question/24304697
Can anyone help me convert these??
What is 76ml of milk in cups, tablespoons, or teaspoons?
What is 38g of Egg yolk in cups, tablespoons, or teaspoons?
What is 78g of Egg white in cups, tablespoons, or teaspoons?
I'm trying to make something that is Japanese but they don't use cups, tablespoons, or teaspoons. My math keeps going wrong and my PC wont convert them for me
Answers
Answer:
0.321233-cups, 0.321233-tablespoon, 0.321233-teaspoon
Step-by-step explanation:
the next 2 questions I can't convert because I don't have grams
Answer:
76ml= 0.321233 cups
76ml = 5.13973 tablespoons
76ml = 15.4192 teaspoons
38g = 0.139 cups
38g = 2.224 tablespoons
38g = 6.672 teaspoons
78g = 0.349 cups
78g = 5.584 tablespoons
78g = 16.752 teaspoons
Step-by-step explanation:
I think thats right
Marla was given the point (1, 3), (2, 1), and (-2, -15). She was asked to find a quadratic function that fit these 3 given points. Marla created a system of three equations with three variables to solve the problem and then used the matrix functions on her graphing calculator to find the equation. Which equation can be written given these 3 points?
Answers
The quadratic equation is given by y = -2x² + 4x + 1
The standard form of a quadratic equation is given by:
y = ax² + bx + c
At point (1, 3):
3 = a(1)² + b(1) + c
a + b + c = 3 (1)
At point (2, 1):
1 = a(2)² + b(2) + c
4a + 2b + c = 1 (2)
At point (-2, -15):
-15 = a(-2)² + b(-2) + c
4a - 2b + c = -15 (3)
Solving equations 1, 2 and 3 simultaneously gives:
a = -2, b = 4, c = 1
The quadratic equation is given by y = -2x² + 4x + 1
Find out more on quadratic equation at: https://brainly.com/question/1214333
Which problem will have the greater quotient, 376.0 divided by 93 OR 376 divided by 93.01?
Answers
Answer: The first option.
Explanation: 376/93 = 4 4/94, while 376/93.01 = 4.04257606709....., which is less than 4 4/94, therefore the first option has the greatest quotient.
Work out the area of the shaded shape.
5m
9m
11m
8m
The diagram is not drawn to scale.
Answers
5x11=55
8-5=3
11-9=2
2x3=6
6+55=61
and since it is the area it is squared
hope this helps
Danielle wants to buy a magazine for $11. The sales tax is 5%. How much would the total cost of the magazine be with tax included?
Answers
Answer:
$11.55
Step-by-step explanation:
If we convert the percentage to 1.05 and multiply it by 11, it's 11.55.
someone please explain this
Answers
Answer:
HOPE THIS HELPS
Step-by-step explanation:
[tex]x^{2}[/tex]-14x-32 =(X+2)(X-16)
A=1
B=2
C=1
D=-16
Choose two expressions that are equivalent to 5 (3a + 4b).
A. 15a + 4b
B. 15a + 206
C. 5a + 3a + 4b
D. 5a + 10a + b + 3b
E. 10a + 5a + 15b + 5b
Pick two answers
Answers
Answer:
B and E
Step-by-step explanation:
I think the choice is wrong. choice B maybe 15a+20b...
5(3a+4b) = 15a+20b (B)
(E) : 10a + 5a + 15b + 5b = 15a+20b
fighting! ✌✌
Answer:
e. 5(3a+4b) = 15a+ 20b = 10a+5a+15b+5b