Answer:
m∠C = 60°
Step-by-step explanation:
we know that sum of angles of a traingle is 18 degrees.
given
m∠A = 60°+α,
m∠B = 60°−α
we have to find m∠C
m∠A + m∠B + m∠C = 180
60°+α + 60° - α +m∠C = 180
+α and -α gets cancelled
120°+m∠C = 180
=> m∠C = 180° - 120° = 60°
Thus, measure of angle c is 60°.
Length: 4 - 7(3x + 4y)
Width: 3x(-2y)
Write a simplified expression for the perimeter of the rectangle.
___ - x - ___y - ___xy
6th grade math heeelppppppppp :D
Answer:
5(6x+3y) is equalivent to 30x+15y
Answer:
30x+15y
Step-by-step explanation:
distributive property
A car travels 18m in one second. How far will it travel in one hour at the same rate ?
Answer:
64800
Step-by-step explanation:
you will multiply 60 by 18m to get how much you go in a minute. and then you multiply that by 60 again to get how much you go in an hour.
Answer:
64800
Step-by-step explanation:
18x60= 1080
1080x60= 64800
In this system of equations, which variable would it be easiest to solve for? x + 3 y = 13. 3 x + 2 y = 25. The easiest to solve for is x in the first equation. The easiest to solve for is y in the first equation. The easiest to solve for is x in the second equation. The easiest to solve for is y in the second equation.
Answer:
its x in the first equation! (a)
Step-by-step explanation:
I just took the test. I used the other answer but it was wrong :( BUT you can trust me :)
Answer:
A: The easiest to solve for is x in the first equation.
Step-by-step explanation:
The X in the first equation is the only one without a coefficient.
There are 8 red, 8 blue and 8 yellow marbles in a jar. What is the fewest marbles you can remove from the jar so that the ratio of red to non-red marbles is 3 to 7 and so that the ratio of yellow to non-yellow marbles is also 3 to 7?
Answer:
5 red, 5 yellow, and 4 blue
Step-by-step explanation:
Answer:
5 red, 5 yellow, and 4 blue :)
Step-by-step explanation:
Is the following relation a function?
Answer:
No because y repeats with a diffirent x i think
Step-by-step explanation:
If it doesn't bother you would you let me know if i was right?
It takes 1 hour (t) to fill the water tank of volume (V) 750 m3. Identify the dependent and the independent variables.
Answer:
The time t is the independent variable while the volume V is the dependent variable
Step-by-step explanation:
A variable is a parameter that changes.
We have two types namely dependent and independent variables.
A dependent variable is a variable which its value needs to be determined based on the value of another variable while and independent variable is a variable which its value independent of other parameters.
In our question, It takes 1 hour (t) to fill the water tank of volume (V) 750 m3.
The volume of the tank V changes as time changes. So the volume of the tank V is dependent on time, t.
So V is proportional to t
Since the volume of the tank is the variable that needs to be determined based on another variable-which is time,t- it is the dependent variable, while the time,t is the independent variable since its value is not determined based on other parameters.
The volume of a rectangular prism is 240 cubic centimeters. A rectangular pyramid has the same length, width, and height as the prism. What is the volume of the pyramid?
Answer:
The volume of the pyramid is 80 cubic centimeters.
Step-by-step explanation:
As the formula for the volume of a pyramid is 1/3bh, so if all the dimensions are the same for both figures, just divide the volume of the prism by three to find the volume of the pyramid. If you do this 240÷3=80 or the volume of the pyramid.
Answer:
80 cubic centimetres
Step-by-step explanation:
The volume of a rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height.
Here, we know that the prism's volume is 240, so lwh = 240.
The volume of a rectangular pyramid is denoted by V = (1/3) * lwh, where l is the length of the rectangular base, w is the width of the rectangular base, and h is the height.
We know that the length, width, and height of the pyramid are the same as those of the prism, so we want to simply find V = (1/3) * lwh. From the prism, we see that lwh = 240, so plug that in:
V = (1/3) * lwh
V = (1/3) * 240 = 80
The answer is thus 80 cubic centimetres.
~ an aesthetics lover
An open cone has a slant height of 5m and a curved surface area of 251, Find the radius of the circular base.What is the answer:18 16
Answer:
Radius of the cone = 16 m
Step-by-step explanation:
Slant height of the cone 'l' = 5 m
Curved surface area of the cone is represented by the formula,
Curved surface area = πrl
Here r = radius of the circular base of the cone
l = slant height of the cone
By putting the values in the formula,
251 = πrl
251 = πr(5)
r = [tex]\frac{251}{5\pi}[/tex]
r = 15.979
r ≈ 16 m
Therefore, radius of the given cone will be 16 m.
In the diagram below, AB is parallel to CD. What is the value of x?
Answer:
150 degrees
Step-by-step explanation:
You can figure this out by looking at the degrees below d, and you see it is thirty, and that it is equal to the degree above the x, so then you subtract 30 from 180 to get 150. Hopefully that makes sence, I forgot what some of the terms are called.
An insurance company is trying to determine the number of phone calls made weekly while driving. Which best describes the population?
Answer: Taking a poll of how many calls someone took anonymously and randomly choose 100 people
Step-by-step explanation:
Answer:
licensed drivers who own cell phones
Step-by-step explanation:
licensed drivers who own cell phones
Manuel ordered pizza for a party. A vegetable pizza has 6 slices per pie. A cheese pizza has 8 slices per pie. Manuel ordered four times as many cheese pizzas as vegetable pizzas for a total of 152 slices. Let c represent the number of cheese pizzas and let v represent the number of vegetable pizzas. Which equation represents the relationship between the number of cheese pizzas and the number of vegetable pizzas? Which equation represents the total number of pizza slices?
Answer:
Manuel ordered pizza for a party. A vegetable pizza has 6 slices per pie. A cheese pizza has 8 slices per pie. Manuel ordered four times as many cheese pizzas as vegetable pizzas for a total of 152 slices. Let c represent the number of cheese pizzas and let v represent the number of vegetable pizzas.
Which equation represents the relationship between the number of cheese pizzas and the number of vegetable pizzas?
✔ c = 4v
Which equation represents the total number of pizza slices?
✔ 8c + 6v = 152
The equation that the number of cheese pizzas and the number of vegetable pizzas is c = 4v
And, the equation represents the total number of pizza slices is 8c + 6v = 152
Given that,
Manuel ordered pizza for a party. A vegetable pizza has 6 slices per pie. A cheese pizza has 8 slices per pie. Manuel ordered four times as many cheese pizzas as vegetable pizzas for a total of 152 slices. Let c represent the number of cheese pizzas and let v represent the number of vegetable pizzas.Based on the above information, the equation is as follows:
c = 4v
8c + 6v = 152
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X= 3y-5
2x + 12y = -4
This is a system of equations can somebody solve it you can use any method
Answer:
x = -4, y = 1/3
Step-by-step explanation:
=> x = 3y-5 (Equation 1)
=> 2x+12y = -4 (Equation 2)
Putting (1) in (2)
=> 2(3y-5)+12y = -4
=> 6y-10+12y = -4
=> 18y = -4+10
=> 18y = 6
Dividing both sides by 18
=> y = 6/18
=> y = 1/3
Putting y = 1/3 in Equation 1
=> x = 3(1/3)-5
=> x = 1-5
=> x = -4
x = 2y - 3 & 3x - 7y = -14
Answer:
(7, 5)
Step-by-step explanation:
You can solve by substitution
3(2y - 3) - 7y = -14
6y - 9 - 7y = -14
-y - 9 = -14
-y = -5
y = 5
x = 2(5) - 3
x = 7
Answer:
(7, 5).
Step-by-step explanation:
x = 2y - 3
2y = x + 3
y = x/2 + 3/2
3x - 7y = -14
-7y = -3x - 14
y = 3/7x + 2
3/7x + 2 = 1/2x + 3/2
6/14x - 7/14x = 1.5 - 2
-1/14x = -1/2
1/14x = 1/2
x = 7
7 = 2y - 3
2y = 10
y = 5
3 * 7 - 7 * 5 = 21 - 35 = -14
Since this works, your answer will be (7, 5).
Hope this helps!
I thought of a number. I added one, divided by 3 and got 6. What was my number?
Answer:
17
Step-by-step explanation:
6 x 3 = 18
18 - 1 = 17
Hope this helps.
Working backwards always works.
Use each of the digits 2,4,6 and 7 to make this calculation correct ?.?+?.?=10
Answer:
2.6+7.4 or 2.4+7.6
Step-by-step explanation:
Both of the above equals to 10!
if the redius of a circle is 5cm what is the circumference
Answer:
10π
Step-by-step explanation:
Circumference formula is : 2πr
So if you put r into this formula, it will be: 2π5
Now, you can multiply 2 by 5 to get 10, leaving you with 10π
Answer:
10 π
Step-by-step explanation:
The formula for circumference is C=2 πr, where r is radius, so if we do C=2 π(5), we get C=10 π
Find the equation of the line through point (−7,2) and parallel to y=25x−12. Use a forward slash (i.e. "/") for fractions (e.g. 1/2.
parallel line so gradient stays the same at 25x
y=25x+c
substitute in the point
-7= 25(2) +c
-7 = 50 + c
(-7)-50= -57
y=25x-57
hope this helps!
The equation of the line in slope intercept form is y = 25x + 177.
What is equation of a line?The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.
For the given situation,
The equation is y = 25x−12 -------- (1)
The point is (−7,2)
The general form of equation of line in slope intercept form is
[tex]y=mx+c[/tex]
On comparing this equation with equation, we get
slope, m = 25
The given line is parallel to the equation of line, so slope is same.
The line passes through the point (x1, y1) is (−7,2).
Thus the equation of line in slope intercept form is
[tex]y-y1=m(x-x1)[/tex]
⇒ [tex]y-2=25(x-(-7))[/tex]
⇒ [tex]y-2=25(x+7)[/tex]
⇒ [tex]y-2=25x+175[/tex]
⇒ [tex]y=25x+175+2[/tex]
⇒ [tex]y=25x+177[/tex]
Hence we can conclude that the equation of the line in slope intercept form is y = 25x + 177.
Learn more about equation of line here
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translate 22% of b into an expression
Answer:
11/50b
Step-by-step explanation:
22% of b = 22/100×b
= 11/50b
Complete the solution of the equation. Find the
value of y when x equals 5.
-6x – 3y = -57
Enter the correct answer.
Answer:
y = 9
Step-by-step explanation: this is because when x is 5 and is multiplied by -6 u get -30. from there u substratc -30 from -57 and get -27. so y is 9
Only answer if you are sure thanks!
Answer:
B. (0,0)
Step-by-step explanation:
Answer:
B. (0, 0).
Step-by-step explanation:
The parent function is y = x^2.
The vertex is at the minimum value of this, that is when x = 0 and y = 0.
A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the arc is °.Which angle measure less than or equal to 360° is equivalent to an angle of ?
Answer:
320°
Step-by-step explanation:
Part 1
The arc length is given by ...
s = rθ . . . . . r is the radius, θ is the central angle in radians
We want to find θ, so we can fill in the given values and divide by the coefficient of θ.
8π = 4.5θ
θ = 8π/4.5 = 16π/9 . . . radians
Since π radians = 180°, the degree measure of the angle is ...
θ = (16/9)180° = 320°
The measure of the angle subtended by the arc is 320°.
_____
Part 2
We might be able to help with the second part of the question, but you need to edit to put in the numbers and answer choices.
The table below shows some inputs and outputs of the invertible function f with domain all real numbers. NEED HELP NOW!!!!!
Answer:
( 1 ) [tex]f^{-1}(f(576)) = 576[/tex],
( 2 ) [tex]f^{-1}(-7)+f(-7) = 13[/tex]
Step-by-step explanation:
Taking the function and it's inverse, it should be the following property -
[tex]f^{-1}(f(x))= x[/tex] - this therefore makes the functionality " [tex]f^{-1}(f(576))= x[/tex] " equivalent to 576 itself.
For this second part here let's consider the portion " [tex]f(-7)[/tex] " firstly. As you can see from the table, - 7 should represent the x - value, hence [tex]f(-7) = 7[/tex]. Now for this second bit here, we have to take the inverse - making the what should have been the x - value, now the f( x ) value. Therefore, [tex]f^{-1}(-7) = 6[/tex].
This would make [tex]f^{-1}(-7)+f(-7)[/tex] = [tex]7+6[/tex] = 13.
5 The absolute value of 9 is 9.
O True
O False
Answer:
True
Step-by-step explanation:
The absolute value of a number is its distance from zero on the number line. The distance of 9 from 0 is 9.
WILL GIVE BRAINLIEST AND 21 POINTS! Calculate the area of the triangle: A =
Answer:
area: 27
Step-by-step explanation:
Sides: a = 10.296 b = 14.213 c = 6
The calculation of the triangle progress in two phases. The first phase is such that we try to calculate all three sides of the triangle from the input parameters. The first phase is different for the different triangles query entered. The second phase is the calculation of other characteristics of the triangle, such as angles, area, perimeter, heights, the center of gravity, circle radii, etc. Some input data also results in two to three correct triangle solutions (e.g., if the specified triangle area and two sides - typically resulting in both acute and obtuse) triangle).
Which statement is true
Answer:
C
Step-by-step explanation:
in order of containment it goes
Quadrilaterals
Parallelograms and trapezoids
kites rhombuses and rectangles
squares
Answer:
Hey there!
All parallelograms are four sided shapes, also called quadrilaterals.
Hope this helps :)
explain how to solve 2x+9=15
Answer:
I hope it will help you :)
If f(x)=x and g(x) =2, what is (f•g)(x)
Answer:
c
Step-by-step explanation:
Gwen is travelling to another country. She flies for 3 hours at an average speed of 625 km/h on one plane. She then flies for 4 hours 15 minutes at an average speed of 880 km/h on a second plane. What is the total distance, in km, she travelled by plane?
Answer:
5,615 km.
Step-by-step explanation:
The first flight, she traveled for 3 hours at a speed of 625 km/h.
[tex]\frac{625}{1} =\frac{x}{3}[/tex]
x = 625 * 3
x = 1,875.
The first flight, she traveled 1,875 km.
The second flight, she traveled for 4.25 hours at a speed of 880 km/h.
[tex]\frac{880}{1} =\frac{x}{4.25}[/tex]
x = 880 * 4.25
x = 3,740.
The second flight, she traveled 3,740 km.
So, in total, she traveled 1875 + 3740 = 5,615 kilometres.
Hope this helps!
Simplify 3 : 18 the following in to the form 1 : n
Answer:
1 : 6
Step-by-step explanation:
3 : 18
3 ÷ 3 : 18 ÷ 3
1 : 18 ÷ 3
1 : 6
Answer:
n=6
Step-by-step explanation:
3:18
1:6
3/1=3
18/3=6