Answer:
The angles are : 30° , 60° , 90°
Step-by-step explanation:
Sum of angles in a triangle = 180°
Given: the angles are in the ratio = 1 : 2 : 3
Sum of the ratio = 6
Therefore , the angles are
[tex]first \ angle = \frac{1}{6} \times 180^\circ = 1 \times 30 = 30^\circ\\\\second \ angle = \frac{2}{6} \times 180^\circ = 2 \times 30 = 60^\circ\\\\third \ angle = \frac{3}{6} \times 180^\circ = 3 \times 30 = 90^\circ[/tex]
[tex]\displaystyle\bf \angle1:\angle2:\angle3=x:2x:3x\\\\x+2x+3x=180\\6x=180\\x=30 \\\angle3=3x=30\cdot3=90 \\\\Answer: \angle3=90^o[/tex]
Write a function rule for the table.
Answer:
A
Step-by-step explanation:
slope=(1-0)/(5-4)=1
eq. of line through (4,0) with slope 1 is
y-0=1(x-4)
put y=f(x)
f(x)=x-4
SOMEONE PLEASE HELP!!
Answer:
RV = 18
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, then
RV = [tex]\frac{1}{2}[/tex] RT = [tex]\frac{1}{2}[/tex] × 36 = 18
what is f(2)=
this thing had to be atleast 20
HELP!!!!!!!!!!!!!!!! pls
Answer: y = 25 - 2x
Step-by-step explanation:
y = mx + b
m = slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{23-25}{1-0} =\frac{-2}{1} =-2[/tex]b = y-intercept = when x = 0 = 25y = -2x + 25
What is the value of Z?
Answer:
137
Step-by-step explanation:
Since angle Z and the angle of 43° are supplementary, the sum of them must equal 180. Therefore,
∠Z + 43 =180
∠Z = 137°
Answer:
137 degrees
Step-by-step explanation:
First thing, we know y is 43 because 43 degrees and y are vertical angles meaning they are congruent. (This is just a small part doesn't really do much though.)
Straight lines add up to 180 so simply just subtract 43 from 180.
180 - 43 = 137.
Therefore,
z = 137 degrees
Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.
How long will it take Ted and Jacob to clear the field together?
Answer:
[tex]\frac{6}{5}[/tex] of an hour = 1 1/5 hour = 72 minutes
Step-by-step explanation:
[tex]\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}[/tex]
It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Let's use the formula for the work rate:
Ted's work rate = 1/3 of the field per hour
Jacob's work rate = 1/2 of the field per hour
Together, their work rate.
= (1/3 + 1/2) of the field per hour
Now,
We can simplify the equation for the combined work rate by finding a common denominator:
(1/3 + 1/2)
= (2/6 + 3/6)
= 5/6 of the field per hour
Now we can use the formula for the work rate to solve the time it would take them to clear the field together:
(5/6)t = 1
(where t is the time in hours)
Solving for t:
(5/6)t = 1
t = 6/5
Therefore,
It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.
Learn more about equations here:
https://brainly.com/question/17194269
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someone help me for this algebra task please
Answer:
The last one is the answer
Answer: For each hour that Michelle drove, she travelled an additional 50 miles.
Step-by-step explanation:
Test each option to see its accuracy
Calculate the slope:
[tex](x_{1}, y_{1}) = (7, 0)\\(x_{2}, y_{2}) = (0, 350)\\ \\\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{350-0}{0-7} =\frac{350}{-7} =-50[/tex]
This means that Michelle drove 50 miles per hour.
The other three options are wrong because if you bring in:
x = 6x = 3into your function- y = -50x + 350, you would not get the stated miles.
Find the area of the region between the curve x^3+2x^2-3x and the x-axis over the interval [-3,1]
Answer:
[tex]\displaystyle A = \frac{32}{3}[/tex]
General Formulas and Concepts:
Calculus
Integrals
Definite IntegralsArea under the curveIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
Curve: x³ + 2x² - 3x
Interval: [-3, 1]
Step 2: Find Area
Set up: [tex]\displaystyle A = \int\limits^1_{-3} {(x^3 + 2x^2 - 3x)} \, dx[/tex][Integral] Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle A = \int\limits^1_{-3} {x^3} \, dx + \int\limits^1_{-3} {2x^2} \, dx - \int\limits^1_{-3} {3x} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle A = \int\limits^1_{-3} {x^3} \, dx + 2\int\limits^1_{-3} {x^2} \, dx - 3\int\limits^1_{-3} {x} \, dx[/tex][Integrals] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = (\frac{x^4}{4}) \bigg| \limits^1_{-3} + 2(\frac{x^3}{3}) \bigg| \limits^1_{-3} - 3(\frac{x^2}{2}) \bigg| \limits^1_{-3}[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: [tex]\displaystyle A = -20 + 2(\frac{28}{3}) - 3(-4)[/tex]Evaluate: [tex]\displaystyle A = \frac{32}{3}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
?
Which graph contains the points of intersection
satisfying this linear-quadratic system of equations?
x2 + y2 = 20
x-y + 2 = 0
Answer:
Step-by-step explanation:
solve the equation x^2 -100 = 0
Hey guys please try this is kinda urgent. what is the value of x in the geometric progression. 16/9 , x, 1, y.
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Explanation:
Let r be the common ratio. Also, we'll make r nonzero, i.e. [tex]r \ne 0[/tex]
Multiplying this common ratio by any term gets us the next term of the geometric sequence.
16/9 is the first term, so that makes (16/9)*r the second term
Since (16/9)r is the second term, the third term is (16/9)r*r = (16/9)r^2
Set this equal to 1 and solve for r.
(16/9)r^2 = 1
r^2 = 1*(9/16)
r^2 = 9/16
r = sqrt(9/16) or r = -sqrt(9/16)
r = 3/4 or r = -3/4
Now that we know what r is, we can determine the second term
If r = 3/4, then,
(16/9)*r = (16/9)*(3/4) = 4/3
Or if r = -3/4, then,
(16/9)*r = (16/9)*(-3/4) = -4/3
So the second term is either 4/3 or -4/3 depending on which r value you go for.
simplify the following. (x²+2x)-(x²-7x)
Answer:
9x
Step-by-step explanation:
(x² + 2x) - (x² - 7x) ← distribute parenthesis
= x² + 2x - x² + 7x ← collect like terms
= 9x
Answer:
9x
Step-by-step explanation:
( x ² + 2 x ) - ( x² - 7 x )
Simply the expression
➻ ( x ² + 2 x ) - ( x² - 7 x )Remove unnecessary parantheses
➻ x² + 2x - x² + 7xcombine like terms
➻ x² - x² + 2x + 7x➻ 9xFind the angle marked with the ? mark
Answer:
53 degrees
Step-by-step explanation:
Angle N = angle E
because angle made by joining end points of same chord on circumference are always equal.
so angle E = 37
Angle D = 90 ( because angle made by diameter on circumference is 90 degrees)
Now in Triangle DEC. Sum if all the angles of triangle us 180
Angle D + angle E + ? = 180
37 + 90 + ? = 180
127 + ? = 180
? = 180 - 127
? = 53 degrees
In general, a gallon of paint can cover 400 square feet. Muhanmmad needs to cover a 21 foot by 17 foot wall and a circular area with a 5 foot radius. How many gallons will he have to buy?
Answer:
1.1 gallons of paint
Step-by-step explanation:
The wall measures;
21 foot by 17 foot
Thus, area of wall = 21 × 17 = 357 ft²
Circular area has a radius of 5 ft.
Thus;
Area of circle = πr² = π × 5² = 78.54 ft²
Total area covered = 357 + 78.54 = 435.54 ft² ≈ 436 ft²
A gallon of paint can cover 400 ft²
Thus gallons Muhammad would need = 436/400 = 1.09 gallons ≈ 1.1 gallons
12 times 12 divided by 6
Answer:
24 , 12x12 = 144. , 144/6 =24
plz tell the answers in the correct order
Answer:
a) 120°
Step-by-step explanation:
i think this is the right answer
8x^2y-18y^3
Maths assignment
Answer:
[tex]8x^2y-18y^3[/tex]
[tex]=8x^2y-18yy^2[/tex]
[tex]=4\cdot \:2x^2y+9\cdot \:2yy^2[/tex]
[tex]=2y\left(4x^2-9y^2\right)[/tex]
[tex]=2y\left(2x+3y\right)\left(2x-3y\right)[/tex]
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Hope it helps...
Have a great day!!
Find the area of circle x that has a radius at coordinates X = (0, 3) and Y = (-3, -1). Round to the nearest tenth.
Answer:
78.5 units²Step-by-step explanation:
Area of circle:
A = πr²Distance between x and y is same as r, so:
r² = (0 + 3)² + (3 + 1)² = 9 + 16 = 25Then the area is:
A = π*25 = 78.5 units² (rounded)Can someone help me with this math homework please!
Answer:
Step-by-step explanation:
A washer and a dryer cost $587 combined. The washer costs $63 less than the dryer. What is the cost of the dryer?
Answer:
The dryer costs $325.
Step-by-step explanation:
Let w represent the cost of the washer and d represent the cost of the dryer.
They cost $587 combined. In other words:
[tex]w+d=587[/tex]
The washer costs $63 less than the dryer. Therefore:
[tex]w=d-63[/tex]
Thus, we have the system of equations:
[tex]\displaystyle \begin{cases} w+d = 587 \\ w=d-63\end{cases}[/tex]
We can solve it using substitution. Substitute the second equation into the first. Hence:
[tex](d-63)+d=587[/tex]
Combine like terms:
[tex]2d-63=587[/tex]
Add 63 to both sides:
[tex]2d=650[/tex]
And divide both sides by two. Hence:
[tex]d=325[/tex]
The dryer costs $325.
Further Notes:
And since the washer is $63 less, the washer costs:
[tex]w=(325)-63=262[/tex]
The washer costs $262.
The lines r: x+3=0 and s: y-2=0 intersect at a point P.
a) Determine the coordinates of point P.
b)What is the distance of P from the origin?
Answer:
(-3,2)
Step-by-step explanation:
The given Equations of lines are ,
[tex]\implies x + 3 = 0 [/tex]
[tex]\implies y -2 = 0 [/tex]
On plotting the graph of the given two equations we will get that the two lines will intersect each other at a point and that point will be the solution of the system of equation. On drawing a graph ,
On looking at graph , Point P will be ,
[tex]\implies Solution = P(-3,2) [/tex]
Please help,
Consider the line 5x - 3y = -4.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
5x - 3y = -4
-3y = -5x - 4
3y = 5x + 4
Y = (5/3)x + (4/3)
The slope of the line is (5/3).
(Its y-intercept is 4/3 but we don't need that.)
Any line parallel to it has same slope. (5/3)
Any line perpendicular to it has slope that is the negative reciprocal of 5/3. (-3/5)
What is the slope of the line whose equation is y-4=5/2(x-2)?
Answer:
[tex]slope = \frac{ - 1 - 4}{0 - 2} \\ = \frac{ - 5}{ - 2} \\ = { \tt{ \frac{5}{2} }}[/tex]
(13+29-2)÷2
show your work
Answer:
[tex](13 + 29 - 2) \div 2 \\ (42 -2 ) \div 2 \\ 40 \div 2 \\ = 20[/tex]
Answer:
(13+29-2)÷240÷220hope it helps.
stay safe healthy and happy..can someone please help me..
Answer:
A. It acts perpendicular to an object
Can anyone answer this I’m having trouble
Answer:
[tex]{ \bf{0.35{ \bar{2}}}} = { \bf{0.352222222....}} \\ = \frac{317}{900} [/tex]
Kelly has $25 in her purse, and Dante has d dollars in his wallet
Which algebraic expression represents the total amount that Kelly and dante have?
The equation will be:
25 + d = t
where t is total money
A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be... Solve quickly
Answer:
1500
Step-by-step explanation:
The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,
[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]
And , the number of tiles required will be ,
[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]
Hence the required answer is 1500 .
Can somebody help me
Which expressions are in the simplest form? Check all that apply.
(Please help, I've been stuck on this all afternoon)
Answer:
All options are correct.
Step-by-step explanation:
We have to find the expression which are in the simplest form.
A.[tex]x^{-3}+y^3[/tex]
The expression cannot solve further.
Therefore, the given expression is in the simplest form .
B.[tex]\frac{1}{x^4}[/tex]
The expression cannot solve further.
The given expression is in the simplest form.
C.[tex]\frac{w^7}{x^2}[/tex]
[tex]x^2[/tex] cannot divide [tex]w^7[/tex].
The expression cannot solve further.
Hence, the given expression is in the simplest form.
D.[tex]a^{-9}[/tex]
The expression cannot solve further.
The given expression is in the simplest form.
E.[tex]\frac{1}{a^2}+b^2[/tex]
The expression cannot solve further.
Hence, the given expression is in the simplest form.
F.[tex]\frac{1}{b^5}[/tex]
The expression cannot solve further.
Hence, the given expression is in the simplest form.
Hence, all options are true.