Answers
Answer:
x=30º
∠CAB=60°
∠ACB=80°
Step-by-step explanation:
Because the angles of every triangle add up to 180º, we know that:
[tex]2x+20+2x=180-40\\ 4x=180-40-20\\ 4x=180-60\\ 4x=120\\ x=\frac{120}{4}[/tex]
x=30º
Plug that in for x on both angles, and you will get
∠CAB=60°
∠ACB=80°
Related Questions
Consider this equation.
tan() = -1
If & is an angle in quadrant II, what is the value of sin()?
ΟΑ. .
5734
34
5734
34
ОВ.
O c.
3V34
34
3V34
34
D.
Answers
Answer:
I know u saw me before but the answer is B hope it helps! =)
Answer:
the 5v34 without the minus sign
Step-by-step explanation:
Solve the above equation for x.
Answers
Answer:
x=6
Step-by-step explanation:
(1/3x+2=4)x3
x+6=12
x=12-6
x=6
Answer: 6
Step-by-step explanation:
1/3x + 2 = 4
1/3x = 2 (subtracted 2 from both sides to get rid of the 2)
x = 6 (multiplied both sides by 3 to get rid of the coefficient)
Can someone answer this for me please?
Answers
x2+8 so the second one Step-by-step explanation:
factor: 18x²+39y-15=0
Answers
Answer: x = 6
y= 6x2/13 + 5/13
Step-by-step explanation: to solve for and y: Isolate the variable by dividing each side by factors that don't contain the variable
please help beacsue i need to get 67 since im grounded and need good grades
Answers
[tex] \frac{4}{5} \times 10 = (\frac{4}{5}) (\frac{10}{1} ) = \frac{(4)(10)}{(5)(1)} = \frac{40}{5} = 8[/tex]
Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h ( t ) = − 16 t 2 + 16 t + 480 h(t)=−16t 2 +16t+480, where t is the time in seconds and h is the height in feet. What is the maximum height that Jason reaches?
Answers
Answer:
484feet
Step-by-step explanation:
If the height as a function of time could be modeled by the function h(t)=−16t^2 +16t+480, where t is the time in seconds and h is the height in feet.
The maximum height of Jason occurs when dh/dt = 0 (velocity is zero)
dh/dt = -32t + 16
0 = -32t + 16
32t = 16
t = 16/32
t = 1/2
t = 0.5secs
Get the maximum height
Recall that h(t)=−16t^2 +16t+480
Substitute t = 0.5
h(0.5)=−16(0.5)^2 +16(0.5)+480
h(0.5) = -4 + 8 + 480
h(0.5) = 4 + 480
h(0.5) = 484
Hence the maximum height reached by Jason is 484feet
The maximum height that Jason reaches is h = 484 feet and it will be reached at t = 0.5 sec.
How to find the maximum of a polynomial function?Let the function be denoted by [tex]y = f(x)[/tex]
If it is twice differentiable, then, firstly, we differentiate it with respect to x and equate with 0 to find the critical values.
Let the obtained critical values be [tex]x_1, x_2, ... x_n[/tex]
The second derivative of that function is then evaluated on those critical values.
The [tex]i^{th}[/tex] critical value has got the maximum if [tex]f''(x_i) < 0[/tex]
That means, if at [tex]x = x_i[/tex] , we get
[tex]f'(x-i) = 0\\and\\f''(x_i) < 0[/tex]
Then that point is where function will have maximum.
If [tex]f''(x_i) > 0[/tex], then the point where the function will have minimum
If value of second rate at point [tex]x_i[/tex] is 0, then we go for third rate of function and check the same facts so on for upper rate(if they exist).
For the given case, we're given the height function as:
[tex]h(t) = - 16t^2 + 16t + 480[/tex]
The function is infinitely differentiable as its polynomial(by a theorem).
Its first and second rate with respect to 't', we get;
[tex]h(t) = - 16t^2 + 16t + 480\\h'(t) = -32t + 16\\h''(t) = -32 < 0[/tex]
Thus, all critical points will be maximum points.
The critical points are evaluated by [tex]h'(t) = 0[/tex]
They are calculated as:
[tex]h'(t) = 0\\-32t + 16 = 0\\t = 0.5 \: \rm sec[/tex]
The height at t = 0.5 s is evaluated as:
[tex]h(0.5) = - 16(0.5)^2 + 16(0.5) + 480 = 484 \: \rm feet[/tex]
Thus, at time 0.5, the height function will be at its maximum value(484 feet). That means, the height of Jason will be maximum when time will be 0.5 seconds from initial time.
Learn more about maximum and minimum values here:
https://brainly.com/question/13333267
PLEASE HELP ASAP NO LINKS PLEASE A relationship between education and income is given in the table. Based on the data, how much more does a person with a bachelor's degree earn than a person with a high school diploma over the course of 15 years?
A)$387,075
B)$398,730
C)$753,585
D)$785,805
Degree of education Income
High school diploma $26,582
Associate's degree $37,955
Bachelor's degree $52,387
Master's degree $59,995
Doctoral degree $76,821
Answers
What are the coordinates of the point on the directed line segment from (−1,−8) to (5,−2) that partitions the segment into a ratio of 1 to 2?
I need help quick
Answers
Answer:
There are two possible options: [tex]P(x,y) = (1, -6)[/tex] or [tex]P(x,y) = (3, -4)[/tex].
Step-by-step explanation:
There are two possible options depending on what the point of origin is. Vectorially speaking, we can determine the coordinates of the point that partitions the segment is described below:
[tex]P(x,y) = A(x,y) + r\cdot [B(x,y) - A(x,y)][/tex] (1)
Where:
[tex]A(x,y)[/tex] - Point of origin.
[tex]B(x,y)[/tex] - Point of destination.
[tex]r[/tex] - Partition factor.
Option 1: [tex]A(x,y) = (-1, -8)[/tex], [tex]B(x,y) = (5, -2)[/tex], [tex]r = \frac{1}{3}[/tex]
[tex]P(x,y) = (-1, - 8) + \frac{1}{3}\cdot [(5,-2)-(-1,-8)][/tex]
[tex]P(x,y) = (-1, -8) + \frac{1}{3}\cdot (6,6)[/tex]
[tex]P(x,y) = (-1,-8) + (2,2)[/tex]
[tex]P(x,y) = (1, -6)[/tex]
Option 2: [tex]A(x,y) = (5,-2)[/tex], [tex]B(x,y) = (-1,-8)[/tex], [tex]r = \frac{1}{3}[/tex]
[tex]P(x,y) = (5,-2) + \frac{1}{3}\cdot [(-1,-8)-(5,-2)][/tex]
[tex]P(x,y) = (5,-2) +\frac{1}{3}\cdot (-6,-6)[/tex]
[tex]P(x,y) = (5,-2) +(-2,-2)[/tex]
[tex]P(x,y) = (3, -4)[/tex]
There are two possible options: [tex]P(x,y) = (1, -6)[/tex] or [tex]P(x,y) = (3, -4)[/tex].
Which one should I choose?
Answers
Answer:
∠ 1 = 58°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
117° is an exterior angle of the triangle, then
∠ 1 + 59° = 117° ( subtract 59° from both sides )
∠ 1 = 58°
How to find Gradient and y intercept
Answers
Find two points on the line and with those two points, calculate the difference in height(y coordinates) divided by the difference in width(x coordinates). If you get a positive value, then your line will be uphill.
Y-intercept:
Use y=mx+b
Find the slope first using the slope formula which is y2-y1 OVER x2-x1. Once you have that, take a point from the line and substitute the x and y coordinates along with the slope into y=mx+b.
So if your slope was 2/1 and your point was (4,8), it would be:
8=2(4)+b
8=6+b
*subtract 6 from both sides*
b=2
Un turista pagó un total de 180 dólares en un hotel. La cuenta incluye el costo de tres noches de hospedaje y 75 dólares de alimentación.
El siguiente procedimiento permite determinar cuántos dólares pagó el turista, por cada noche de hospedaje. 3X+ 75 = 180
3X +75 -75 = 180 – 75
3X = 105
¿Cuál de los siguientes pasos completa correctamente el procedimiento?Single choice.
(10 Points)
3X – 3 = 105 – 3
3X + 3 = 105 + 3
3.(3X) = (3).105
3X/3 = 105/3
Answers
Help me please ASAP please
Answers
Answer:
2 x 4=
Step-by-step explanation:
2 x 4 and then no loops 6/8=0.75
Answer: 0.982
Heres why: Если вы мертвы задницу перевел это, чем я сожалею об этом. Это шутка, и, честно говоря, я не имею чертовски понятия, что ответ
Does this line represent a function? Yes or no
Answers
Answer:
Yes
Step-by-step explanation:
The line is straight, showing a linear relationship between x and y.
Answer:
yes this does represent a funtion
Step-by-step explanation:
because if we use the vertical line test where you get a pencil and put it the graph verticaly any where thier is no points on the graph that toch the pencil twice
Also can anyone help with these problems too?
Answers
Answer:
6. a
------
7. b
------
8. d
------
9. d
------
Determine which number is a solution to the inequality.
Answers
Answer:
0
Step-by-step explanation:
j + 8 <= 8
Subtract 8 from both sides.
j <= 0
Answer: 0
Emily and her friends pick 27 lb of blueberries each pound of blueberries contains 195 blueberries how much blueberries been Emily and her friends pic
Answers
To find: How much Emily picked for her friends
Solve: Since 1 pound of blueberry is 195, Multiply 195 by 27
195 * 27 = 5265
Hence, Emily picked 5265 blueberries for her and her friends
Use the 45-45-45-90 triangle relationship to find the missing sides
Answers
Answer: A is 8. B is the square root of 128.
Step-by-step explanation: Nah.
A soccer team is selling shirts and ball caps to raise money to buy new uniforms. Its profit is $8 for each shirt and $5 for each ball cap. The team needs to raise at least $400.
Answers
Answer:
you supposed to do 8*5=40
Step-by-step explanation:
In a study of the television viewing habits of children, a developmental psychologist selects a random sample of 300 first graders - 100 boys and 200 girls. Each child is asked which of the following TV programs they like best: The Lone Ranger, Sesame Street, or the Simpsons.
Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Include your calculations and the completed table in your answer.
Answers
Answer:
50, 130, 30, 60
Step-by-step explanation:
For the boys row (Simpsons)-20
For the girls row (Simpsons)-70
For the girls row (Lone Ranger)-50
For the total of Sesame Street- 110
Hope this helped!
Hey can you help me fast!!!
Answers
Answer:
40 square feet
Step-by-step explanation:
I gotcha bro
4 x 12 = 48
48 - 3 x 2 - 1 x 2 = 48 - 6 - 2 = 40
I need help on this, please help
Answers
Answer:i tihnk football is .45 and tennis is .18?
Step-by-step explanation:
i dont know if this is right but im pretty sure it is
Neeed helps math help no links or imma report helps 20 points
Answers
Please help! I will give you 'Brainliest' if you do!
Answers
Answer:
C $126,720
Step-by-step explanation:
First hour: 1280 tickets
Second hour: 20% more than 1280 tickets
20% of 1280 = 0.2 * 1280 = 256
1280 + 256 = 1536
Second hour: 1536 tickets
First & second hour tickets:
1280 + 1536 = 2816
Total sales:
2816 * $45 = $126,720
Answer: C $126,720
if you start at 89 degrees and it decreases 5% each hour what would it be at in 3 hours
Answers
Answer:
A = 76.3 degrees after 3 hours
Step-by-step explanation:
An exponential function is needed here:
A = P(1 - 0.05)^3, where this (1 - 0.95) reflects a DECREASE of 5%/hour.
Then: A = (89 degrees)(0.95)^3, or
A = 76.3 degrees after 3 hours
On a survey, 7 students reported how many minutes it takes them to travel to school. Here are their responses.
13, 7, 12, 9, 8, 8, 16
Send data to calculator
Find the mean travel time for these students.
If necessary, round your answer to the nearest tenth.
I minutes
Х
5
?
need asap.
Answers
Then divide by how many numbers there are, 73 divided by 7 = 10.4285714286
10.4285714286 rounded to the nearest tenth = 10.4
Hope this helps :D
If h(x) = 2x² - 5 find h(4x²)
Answers
Answer:
8x^4-5
Step-by-step explanation:
8x^4-5
Just substitute 4x^2 into x
Answer:
= 32x^4-5
Step-by-step explanation:
Which of these expressions would be the best estimate of the quotient 15 1/2 ÷ 3 2/3?
A. 15÷3
B. 15÷4
C. 16÷3
D. 16÷4
Answers
Answer:
D
Step-by-step explanation:
Because 15 1/2 ÷ 3 2/3 equals 4.22727272727 and 15 divided by 3 is 5, 15 divided b 4 = 3.75 16 divided by 3 is 5.33333333333 and 16 divided by 4 equals 4 so thats the closest answer
Hope this helps
three teams a,b,c play in a competition
games won by a : games won by b = 3:1
games won by b :games won by c= 5:1
team b has won 10 games
in total how many games have the three teams won
Answers
Answer:
25:2
Step-by-step explanation:
Reduce your fraction into lowest terms.
Answers
eureka math grade 9 module 4 lesson 4 problem set