Answers
Answer:
18) Area= 5*5/2=25/2=12.5 unit ^2
19) Area=AB^2V3/4=8a^2*V3/4=2V3a^2
Step-by-step explanation:
18. A(-3,0)
B(1,-3)
C(4,1)
AB=V(-3-1)^2+(0+3)^2=V16+9=V25=5
AC=V(-3-4)^2+(0-1)^2=V49+1=V50=5V2
BC=V(1-4)^2+(-3-1)^2=V9+16=V25=5
so AB=BC=5
and AC^2=AB^2+BC^2
so trg ABC is an isosceles right angle triangle (<B=90)
Area= 5*5/2=25/2=12.5 unit ^2
19. A(a,a)
B(-a,-a)
C(-V3a, V3a)
AB=V(a+a)^2+(a+a)^2=V4a^2+4a^2=V8a^2
AC=V(a+V3a)^2+(a-V3)^2=Va^2+2a^2V3+3a^2+a^2-2a^2V3+3a^2=V8a^2
BC=V(-a+V3a)^2+(-a-V3a)^2=V8a^2
so AB=AC=BC
Area=AB^2V3/4=8a^2*V3/4=2V3a^2
Related Questions
At a school carnival, 57 out of 95 tickets sold were early-admission tickets. What percentage
of the tickets were early-admission tickets?
Write your answer using a percent sign (%).
Answers
Answer:
60%
Step-by-step explanation:
57/95×100
hope this helps :)
Answer:
60%
Step-by-step explanation:
There is a total of 95 tickets, and 57 of them were early-admission tickets.
To find the percentage, we divide early-admission tickets by the total number of tickets, which is 57/95.
We can then simplify 57/95, getting 3/5, or 0.6, which is 60%.
A chemist is using 354 milliliters of a solution of acid and water. If 15.8% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
Answers
Answer:
There is 55.9 mL of acid in the solution.
Step-by-step explanation:
We have:
V = 354 mL
%(a): concentration of acid = 15.8 %
Hence, we can find the number of milliliters of acid as follows:
[tex] x = V*\%_{a} [/tex]
[tex] x = 354*\frac{15.8}{100} = 55.9 mL [/tex]
Therefore, there is 55.9 mL of acid in the solution.
I hope it helps you!
in the adjoining figure, ABC is a right-angled triangle, where
B = 90°, AB = 3 cm and AC
3V2 cm, find the size of ®.
Answers
Answer:
the value of theta i 45°
Write the numbers in decreasing order.
- 13. – 1.73, - 265,2.18,
Choose the correct answer below.
A.
2.18. - 13. - 1.73, -275
B. 2.18,
- 1.73, -275, -13
c. - 13, - 245, -1.73, 12
4: 2.18
D. -275, - 13, 2.18,
- 1.73
Answers
solve the equation (2^2x +2) (2^3x -7)= 2^25
Answers
Answer:
[tex]\Huge \boxed{x=6}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex](2^{2x +2}) (2^{3x -7})= 2^{25}[/tex]
When multiplying same bases, add the exponents.
[tex](2^{2x +2+3x -7})= 2^{25}[/tex]
[tex](2^{5x -5})= 2^{25}[/tex]
Cancelling the same bases from both sides.
[tex]5x-5=25[/tex]
Adding 5 to both sides.
[tex]5x=30[/tex]
Dividing both sides by 5.
[tex]x=6[/tex]
[tex]\rule[225]{225}{2}[/tex]
After heating up in a teapot, a cup of hot water is poured at a temperature of 210°F. The cup sits to cool in a room at a temperature of 70° F. Newton's Law of Cooling explains that the temperature of the cup of water will decrease proportionally to the difference between the temperature of the water and the temperature of the room, as given by the formula below: T = T. + (To - Tale To = the temperature surrounding the object To = the initial temperature of the object t = the time in minutes T= the temperature of the object after t minutes k = decay constant The cup of water reaches the temperature of 197°F after 1.5 minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes. Enter only the final temperature into the input box.
Answers
Newton's Law of Cooling:
[tex]T(t)=T_{s}+(T_{o}-T_{s})e^{-kt}[/tex]
[tex]T(t) =[/tex] Temperature given at a time
[tex]t =[/tex] Time
[tex]T_{s} =[/tex] Surrounding temperature
[tex]T_{o}=[/tex] Initial temperature
[tex]e =[/tex] Constant (Euler's number) ≈ 2.72
[tex]k =[/tex] Constant
Using this information, find the value of [tex]k[/tex], to the nearest thousandth, then use the resulting equation to determine the temperature of the water cup after 4 minutes.
First, plug in the given values in the equation and solve for [tex]k[/tex]:
[tex]T(t) =[/tex] 197°, [tex]t =[/tex] 1.5 minutes, [tex]T_{s} =[/tex] 70° and [tex]T_{o}=[/tex] 210°
[tex]T(t)=T_{s}+(T_{o}-T_{s})e^{-kt}\\197=70+(210-70)e^{-1.5k} \\197 -70 = (140)e^{-1.5k} \\127 =(140)e^{-1.5k}\\\frac{127}{140}=e^{-1.5k} \\ln(\frac{127}{140})=-1.5k\\-0.097=-1.5k\\0.0649 = k[/tex]
[tex]k[/tex] ≈ [tex]0.065[/tex]
Let the temperature of the water cup after [tex]t = 4[/tex] minutes be [tex]T(t) = x[/tex]
Now, let's plug the new time and [tex]k[/tex] constant in the equation and solve for [tex]x[/tex]:
[tex]T(t)=T_{s}+(T_{o}-T_{s})e^{-kt}\\\\\x=70+(210-70})e^{-0.065*4}\\\\x=70+(140})e^{-0.26}, -0.26=-\frac{26}{100}=-\frac{13}{50} \\[/tex]
[tex]x=70+(140})e^{-\frac{13}{50}}\\\\[/tex]
[tex]x=70+(140})e^{\frac{1}{\frac{13}{50}}\\\\\\[/tex]
[tex]x=70+e^{\frac{140}{\frac{13}{50}}\\\\\\[/tex]
[tex]x=70+{\frac{140}{\sqrt[50]{e^{13}}}\\[/tex]
[tex]x = 70 +\frac{140}{1.3} \\x=70+107.947\\[/tex]
[tex]x=177.95[/tex] ≈ [tex]178[/tex]
Temperature of water after 4 minutes is 178°
sorry if there's any misspelling or wrong step but I hope my answer is correct ':3
Explain how to use the regression calculator to make a reasonable prediction given a data table
Answers
Answer:
Given data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.
Step-by-step explanation:
Enter data into the regression calculator.Determine the regression equation.Substitute the correct value for x or y into the equation.Simplify to find the value of the other variable.Answer:
Sample Answer: Given bivariate data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.
Step-by-step explanation:
Got it right on the quiz :)
what digit is in the hundredths place 132.054
Answers
Answer:
5
Step-by-step explanation:
0 is 10ths 5 is 100ths
90 POINTS PLEASE HELP Describe the three main trigonometry functions, their ratios and reciprocal functions.
Answers
Answer and Step-by-step explanation:
There are three reciprocal trigonometric functions
making a total of six including cosine, sine, and tangent.
→The reciprocal cosine function is secant: sec(Ф)=1/cos(Ф).
→The reciprocal sine function is cosecant, csc(Ф)=1/sin(Ф).
→The reciprocal tangent function is cotangent, expressed two ways: cot(Ф)=1/tan(Ф) or cot(Ф)=cos(Ф)/sin(Ф).
We've already learned the basic trig ratios:
sin(A) = a/c
cos(B) = b/c
tan(C) = a/b
But there are three more ratios to think about:
→Instead of a/c, we can consider c/a
→Instead of b/c, we can consider c/b
→Instead of a/b, we can consider b/a
These new ratios are the reciprocal trigonometric ratios, and we’re about to learn their names.
The cosecant (csc)
The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.
sin(A) = opp / hyp = a/c
csc(A) = hyp / opp = c/a
The secant (sec)
The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.
cos(A) = adj/hyp = b/c
sec(A) = hyp/adj = c/b
The cotangent (cot)
The cotangent is the reciprocal of the tangent. It is the ratio of the adjacent side to the opposite side in a right triangle.
tan(A) = opp/adj = a/b
cot(A) =adj/opp = b/c
Which function describes this table of values?
Answers
Answer:
[tex]y=\frac{4}{5}x[/tex]
Step-by-step explanation:
Equations in the given options are linear, so the table given represent a linear function.
Let the equation of the linear function is,
y = mx + b
Since this equation passes through (0, 0),
0 = m(0) + b
b = 0
Therefore, equation of the line will be,
y = mx
Slope of the line passing through (10, 8) and (5, 4),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{8-4}{10-5}[/tex]
= [tex]\frac{4}{5}[/tex]
Therefore, equation of the line will be,
[tex]y=\frac{4}{5}x[/tex]
Option (2) will be the answer.
7)
(4y2 - y) - (5y – 2y2) = - (12 – 3y) + 6y? Solve.
Answers
Answer:
y=-12/137
Step-by-step explanation:
Use the graph to write an equation of the line. y= Question 2 Interpret the slope. The cost of the meal increases $0.20 for each dollar spent on the tip. The tip increases $0.20 for each dollar spent on the meal. The cost of the meal increases $0.50 for each dollar spent on the tip. The tip increases $0.50 for each dollar spent on the meal.
Answers
Answer:
$0.20
Step-by-step explanation:
Note that the graph does not have a vertical intercept other than (0, $0); it shows a proportional relationship. For each $1 increase in the cost of the meal, the tip increases by $0.20.
The equation of the line is:
[tex]y = 0.2x[/tex]
The slope is of $0.2, which means that the tip increases $0.20 for each dollar spent on the meal.
The equation of a line, in slope-intercept form, is:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem:
When x = 0, y = 0, thus the y-intercept is [tex]b = 0[/tex].When x = 10, y = 2, thus, considering that the slope is given by change in y divided by change in x:[tex]m = \frac{2 - 0}{10 - 0} = 0.2[/tex]
The equation of the line is:
[tex]y = 0.2x[/tex]
x is the cost of the meal, y is the tip, thus, the slope is of $0.2 means that the tip increases $0.20 for each dollar spent on the meal.
A similar problem is given at https://brainly.com/question/22566209
Does anyone know this ???
Answers
Answer:
m<PKN = 270 - m<JKN
Step-by-step explanation:
The measures of the three right angles JKM, MKL, and LKN add to 270 deg.
The measures of the angles JKP and PKN add to 270 deg.
m<PKN = 270 - m<JKN
Question 6 (1 point)
90 degrees clockwise is the same as?
Answers
Answer:
270 degrees counter clockwise
Step-by-step explanation:
360-90=270
1-1 Relations and Functions The following list details the numbers of tickets sold for a talent show: grade 9: 22; grade 10: 32; grade 11: 41; and grade 12: 30. What are the domain and range of this relation? A. domain: {22, 32, 41, 30}; range: {9, 10, 11, 12} B. domain: {9, 22, 10, 32}; range: {11, 41, 12, 30} C. domain: {9, 10, 11, 12}; range: {22, 32, 41, 30} D. domain: {11, 41, 12, 30}; range: {9, 22, 10, 32}
Answers
Answer:
[tex]Domain = \{9, 10, 11, 12\}[/tex]
[tex]Range = \{22, 32, 41, 30\}[/tex]
Step-by-step explanation:
Given
Grade 9: 22
Grade 10: 32
Grade 11: 41
Grade 12: 30
Required
Determine the domain and the range
The domain and range of a function is represented as thus (x,y)
From the given parameters;
[tex](x,y) = (Grade\ 9, 22), (Grade\ 10, 32) (Grade\ 11, 41), (Grade\ 12, 30)[/tex]
Remove "Grade" to represent as only digits
[tex](x,y) = (9, 22), (10, 32), (11, 41), (12, 30)[/tex]
Split to x and y values:
Where x = domain and y = range
[tex]Domain = \{9, 10, 11, 12\}[/tex]
[tex]Range = \{22, 32, 41, 30\}[/tex]
So, from the list of given options; option C answers the question.
How to graph the function (4,32) on a graph that only goes up to 8?
Answers
Answer:
Well make sure your answer is correct. If it’s correct extend your graph.
Step-by-step explanation:
Solve the equation for u.
Uw + uq=r
Answers
Answer:
u = [tex]\frac{r}{w+q}[/tex]
Step-by-step explanation:
Given
uw + uq = r ← factor out u from each term on the left side
u(w + q) = r ← divide both sides by (w + q)
u = [tex]\frac{r}{w+q}[/tex]
The equation uw + uq = r is solved for u will be written as u = r / (w + q).
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The equation is given below.
uw + uq = r
Simplify the equation for u, then the equation will be written as,
uw + uq = r
u(w + q) = r
u = r / (w + q)
The equation uw + uq = r is solved for u will be written as u = r / (w + q).
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
What are the roots of the equation 9x^2 + 54x +82 = 0 in simplest a + bi form?
Answers
Answer:
The roots are
[tex]x = - 3 + \frac{1}{3} i \: \: \: or \: \: \: x = - 3 - \frac{1}{3} i \\ [/tex]Step-by-step explanation:
9x² + 54x + 82 = 0
Using the quadratic formula
That's
[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]From the question
a = 9 , b = 54 , c = 82
Substitute the values into the above formula and solve
That's
[tex]x = \frac{ - 54\pm \sqrt{ {54}^{2} - 4(9)(82)} }{2(9)} \\ x = \frac{ - 54\pm \sqrt{2916 - 2952} }{18} \\ x = \frac{ - 54\pm \sqrt{ - 36} }{18} \\ x = \frac{ - 54\pm 6i}{18} [/tex]Separate the real and imaginary parts
That's
[tex]x = - \frac{54}{18} \pm \frac{6}{18} \: i \\ x = - 3\pm \frac{1}{3} i[/tex]We have the final answer as
[tex]x = - 3 + \frac{1}{3} i \: \: \: or \: \: \: x = - 3 - \frac{1}{3} i \\ [/tex]Hope this helps you
15mn + 5(m – 3mn) – 5m = _______
Answers
Answer:
0 (zero)
Step-by-step explanation:
15mn + 5(m – 3mn) – 5m
=15mn+5m-15mn-5m
=15mn-15mn+5mn-5mn
=0
Answer:
3n add 1
Step-by-step explanation:
15 mn add 5m - 15mn - 5m
or, 5m( 3n add 1 ) - 5m( 3n add 1)
or, ( 5m - 5m ) ( 3n add 1 )
or, 3n add 1
Find the sum of (4x^3+2x) + (8x^3+4)
Answers
100 milk cartons were put out for breakfast, After breakfast, there were 40 milk cartons left. What is the ratio of milk cartons drunk to total milk cartons put out?
Answers
Answer:
The ratio of milk cartons drunk to total milk cartons put out= 3 : 5
Step-by-step explanation:
Total milk cartons put out for breakfast=100
Milk cartons left after breakfast=40
Total milk cartons drunk during breakfast = Total milk cartons put out for breakfast - Milk cartons left after breakfast
=100 - 40
=60
Total milk cartons drunk during breakfast = 60
What is the ratio of milk cartons drunk to total milk cartons put out?
Total milk cartons drunk during breakfast : Total milk cartons put out for breakfast
= 60 : 100
=3 : 5
The ratio of milk cartons drunk to total milk cartons put out= 3 : 5
4 solutions for z<-6
Answers
Answer:
-7, -8, -9, -10
Step-by-step explanation:
Is this actually the whole problem? If so, the answer is anything less than -6. z < -6 includes all the numbers less than -6, so that would include -7, -8, -1000, -6.000001, etc.; you get what I mean. This would NOT include -6, though, because z is less than, not equal to, -6.
You can visualize it on a number line. If every value that could possibly equal z had a dot on it, you would see an infinite number of dots starting from -6 and going left to infinity. Like: <-------------o, if o was -6.
Please mark as Brainliest! :)
Mr. Adams drove his delivery truck 151.2 miles during 2.4 days. He drove the same number of miles each day. How many miles did he drive in one day? *
Answers
Answer:
He drove 63 miles in one day
Step-by-step explanation:
151.2/2.4=63
Geometry and I need help
Answers
Answer:
y = 11
Step-by-step explanation:
We use the definition of Supplementary Angles and Adjacent Angles.
Step 1: Set up equation 1 (Definition of Supplementary Angles)
5x - 4 +7x - 8 = 180
Step 2: Solve for x
12x - 4 - 8 = 180
12x - 12 = 180
12x = 192
x = 16
Step 3: Plug in x
5(16) - 4
80 - 4
76°
Step 4: Set up equation 2 (Definition of Supplementary Angles)
76 + 9y + 5 = 180
Step 5: Solve for y
9y + 81 = 180
9y = 99
y = 11
Answer the two please 1. A monopoly playing board is in the shape of a square.The sides measure 19 inches. What is the area of the monopoly board? Use the golf scores below to answer quest 2 72,75,82 75,72,74 2. What is the median golf score? A.74.5 B.74 C.75.5 D.75
Answers
Please answer this question for me please!!! Today I got headaching questions from other subjects and my mind has stopped!☠️ Question number 7, 13, and 16 please!!! It's worth 20 points!!!
Answers
Answer:
7a) 5/8 cup
7b) 4 3/8 cup
Step-by-step explanation:
a) Divide 1 1/4 by 2:
Do this by putting the 1 into the fraction and then convert to 8th
1 1/4 = 5/4 = 10/8
(10/8)/2 = 5/8
b) 3 1/2 * 1 1/4 = 7/2 * 5/4 = 7*5/(2*4) = 35/8 = 4 3/8
who is the smartest man in the world
Answers
Answer:
i think its Stephen Hawking
Step-by-step explanation:
Answer:
Born in Boston in 1898, William James Sidis made the headlines in the early 20th century as a child prodigy with an amazing intellect. His IQ was estimated to be 50 to 100 points higher than Albert Einstein's. He could read the New York Times before he was 2.
Step-by-step explanation:
1/4x -18=-22 please include step by step i already know the answer i just need step by step. will award brainliest.
Answers
Answer:
Hope this helps
Step-by-step explanation:
1/4x = -22 + 18
1/4x = -4
4(1/4x) = 4(-4)
x = -16
What is the quotient and remainder 41÷6
Answers
Answer:
6.83 is the answer
Step-by-step explanation:
2n = 16 What does "n" equal?
1. 0
2. 16
3. 8
4. 32
5. 36