Answers
Answer:
20°
Step-by-step explanation:
4x+3x+2x=180°(Sum of interior anglevof triangle)
9x=180°
x=20°
I Hope this will be helpful for you.
20
Step-by-step explanation:
Just add the all terms and trim as equation then solve it simple ^ω^ .
[tex] \sf4x + 3x + 2x = 180 \degree[/tex]
[tex][ \sf \: \because \: Sum \: of \: all \: interior \: angle \: of \: a \: trianlge \: is \: 180 \degree][/tex]
[tex]9x = 180[/tex]
[tex]x = \dfrac{180}{9} [/tex]
[tex]x = 20[/tex]
The required value of x is 20
Related Questions
Which shapes can be made from a planar cross section of a triangular pyramid? More than one can be correct: trapezoid, pentagon, isosceles triangle, rectangle, hexagon, scalene triangle, square, decagon, or equilateral triangle
Answers
Answer:
Triangle in isosceles, scalene or equilateral forms and
quadrilateral in trapezoid, rectangle or square forms
Step-by-step explanation:
Refer to pictures attached
Shapes can be formed are:
Trapezoid,when perpendicular to base
Rectangle or square,when angle cross section to base
Isosceles triangle,when base is isosceles triangle and parallel cross section to base,
or angle cross section
Scalene triangle,when base is scalene triangle and parallel cross section to base,
or angle cross section
Equilateral triangle,when base is equilateral triangle and parallel cross section to base,
or angle cross section
Answer.. Plz!! 1rst one .BRAINLIEST!
Answers
Answer:
a) [tex]\boxed{4m^2+20m+25}[/tex]
b) [tex]\boxed{m^2-m+\frac{1}{4} }[/tex]
Step-by-step explanation:
a) [tex](2m+5)^2[/tex]
Using formula [tex](a+b)^2 = a^2+2ab+b^2[/tex]
=> [tex](2m)^2 + 2(2m)(5)+(5)^2[/tex]
=> [tex]4m^2+20m+25[/tex]
b) [tex](m-\frac{1}{2} )^2[/tex]
Using Formula [tex](a-b)^2 = a^2-2ab+b^2[/tex]
=> [tex](m)^2 - 2(m)(\frac{1}{2} ) + (\frac{1}{2} )^2[/tex]
=> [tex]m^2-m+\frac{1}{4}[/tex]
Answer:
a) [tex]\boxed{4m^2 + 20m + 25}[/tex]
b) [tex]\boxed{m^2 - m + \frac{1}{4} }[/tex]
Step-by-step explanation:
[tex](2m + 5)^2[/tex]
[tex](2m + 5) (2m + 5)[/tex]
Use FOIL method.
[tex]2m(2m + 5)+5(2m + 5)[/tex]
[tex]4m^2 + 10m + 10m + 25[/tex]
[tex]4m^2 + 20m + 25[/tex]
[tex](m - \frac{1}{2} )^2[/tex]
[tex](m- \frac{1}{2})(m- \frac{1}{2})[/tex]
Use FOIL method.
[tex]m(m- \frac{1}{2})- \frac{1}{2}(m- \frac{1}{2})[/tex]
[tex]m^2- \frac{1}{2} m- \frac{1}{2}m+ \frac{1}{4}[/tex]
[tex]m^2-m+ \frac{1}{4}[/tex]
Draw a diagram of this statement,
Fifteen thousand dollars was raised by the booster club. This was two thirds of
the goal.
Use your diagram to determine the percent by which the booster club fell short of their goal
Answers
Answer:
The percentage by which the booster club fell short is 33% as shown on the chart
Step-by-step explanation:
To represent the given data pictorially, a pie chart is suitable
The circumference of the pie chart will represent the amount to be raised by the booster club and a sector of the circle which is two-thirds of the circumference represents the amount raised
Given that the amount raised = 2/3×Goal = $15,000, we have;
We represent the amount raised as a sector of the circle as follows;
Sector angle = 2/3×360° = 240°
Total sector of goal amount = Entire circle = 360°
Amount club fell short = 360° - 240° = 120°
The goal amount = 3/2 × $15,000
Percentage by which the club fell short = 120/360×100 = 1/3×100 = 33.33%
Someone plz Help its due now!!! In a histogram, if I have 0-2 does this count everything up to 2, or does this count 2?
Answers
Answer:
everything
Step-by-step explanation:
because in statistics we represent data in classes and you can't have a class of one number since the histogram a class has to have limits hope it helps
A pair of parallel lines is cut by a transversal: A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 20 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 80 degrees. What is the measure of angle x? 60 degrees 70 degrees 80 degrees 100 degrees
Answers
please answer fast. Alan is conducting an experiment to determine whether a new medication is effective in reducing coughing. He finds 2,000 volunteers with coughing issues and divides them into two groups. The control group does not receive any medication; the treatment group receives the medication. The patients in the treatment group show reduced signs of coughing. What can Alan conclude from this experiment? (10 points)
Answers
Alan can conclude that the medicine given out to the treatment group does indeed work and reduces the amount of coughing and the control group with no treatment never got any better so the medicine is far better than no treatment at all.
Select all the sentences that can be represented by the equation 25+p=38 A.25 is more than 38 is p B.25 times as much as p is 38 C.38 is p more than 25
Answers
Answer:
Option C: 38 is p more than 25
Step-by-step explanation:
the equation 25 + p = 38
can be read as 38 is 25 plus p units, or similarly ;
38 is p units more than 25.
Therefore from the three sentences you are showing, only the last one (option C) is the correct one.
In a school, the ratio of students of class 9 to that of class 10 is 3:2. 30% of the students of class 9 and 10%of the students of class 10 were elected to the school student committee. What fraction of the total number of students of the two classes was selected to the school student committee?
Answers
Answer:
22% of the two classes were elected to the student committee
Step-by-step explanation:
Given
class 9 : class 10 = 3:2 = 60% : 40%
Total fraction = 60% * 30% + 40% * 10% = 18% + 4% = 22%
How to find and solve this ?
Shape A = ______ units
Shape B = _______ units
Answers
Answer:
A = 12
B = 14
Step-by-step explanation:
You essentially have to count the number of squares that are filled in.
Shape A has 12 units filled in.
Shape B has 14 units filled in.
WILL MARK BRAINLIEST!!! PLZ HELP!!!
Answers
Answer:
x = -5.
Step-by-step explanation:
The solutions of the equation is when the two functions intersect. That is at (-5, 5.5), so where x = -5.
Hope this helps!
Answer:
x = -5
Step-by-step explanation:
f(x) = g(x) has more than one solution, because they intersect at two points.
The question asks for one solution of f(x) = g(x).
One point where they intersect is at (-5, 5.5), as shown in the graph.
(x , y)
x = -5, y = 5.5
If you have 2345 and you multiple it by 2 divide it by 6 and add on 22299 what will the answer be?
Answers
Answer:
69242/3 or 23080.666667
Step-by-step explanation:
2345 is multiplied by 2. Then the result is divided by 6. Then 22299 is added to the final result.
2345 × 2
= 4690
4690/6
= 2345/3
2345/3 + 22299
= 69242/3
(pic inside) What is the approximate value of the function at x = 1?
Answers
Answer: -2
Step-by-step explanation:
When x = 1, y = -2.
Hope it helps <3
A life insurance company sells a $100,000 one year term life insurance policy to a 30-year old male for $475. The probability that the male survives the year is .999172. Find the expected value for the insurance company.
Answers
Answer:
The expected value for the insurance company is $392.20.
Step-by-step explanation:
The expected value of a random variable, X is:
[tex]E(X)=x\cdot P(X)[/tex]
It is provided that a life insurance company sells a $100,000 one year term life insurance policy to a 30-year old male for $475.
The probability that the male survives the year is, P(S) = 0.999172.
Then the probability that the male does not survives the year is:
P (S') = 1 - P (S)
= 1 - 0.999172
P (S') = 0.000828
The amount the company owes the male if he survives is, S = $475.
The amount the company owes the male if he does not survives is,
S' = $475 - $100,000 = -$99525.
Compute the expected value for the insurance company as follows:
[tex]E(\text{Insurance Company})=S\cdot P(S)+S'\cdot P(S')[/tex]
[tex]=(475\times 0.999172)+(-99525\times 0.000828)\\=474.6067-82.4067\\=392.20[/tex]
Thus, the expected value for the insurance company is $392.20.
A movie theater sells up to 10 tickets at a time online. what is the domain of this graph?
Answers
Answer:
i will say c
Step-by-step explanation:
c
Answer:
B. Whole numbers from 0 to 10
Step-by-step explanation:
this is a dot graph, so only those dots, whole numbers of tickets, are valid input, that is, domain of the graph.
factor completely
1 + 12x + 36x^2 =_____
Answers
Answer:
(6x + 1)^2.
Step-by-step explanation:
1 + 12x + 36x^2
= 36x^2 + 12x + 1
= (6x + 1)(6x + 1)
= (6x + 1)^2.
Hope this helps!
Answer:
[tex](6x+1)^2[/tex]
Step-by-step explanation:
. A car bought for $20,000. Its value depreciates by 10% each year for 3 years. What is the car's worth after3 years?
Answers
Answer:
$14,580
Step-by-step explanation:
To start off, 10% of 20,000-one easy way to do this is to multiply 20,000 by 0.1, which is 10% in decimal form
-In doing that, you get 2,000
-Now the question says that the value is depreciated which means it goes down in value, so subtract 2,000 from 20,000 to 18,000
-the value of the car after one year is now $18,000
Now, let's move to the second year. This time find 10% of 18,000
-multiply 18,000 by 0.1 to get 1,800
-since the value is depreciating, or becoming less, we will subtract 1,800 from 18,000 to get 16,200
-the value of the car after two years is now $16,200
Finally, let's look at the value of the car after three years. Only this time, we will now find 10% of 16,200
-multiply 16,200 by 0.1 to get 1,620
-since value is being depreciated, or lessened, we will once again be subtracting. Subtract 1,620 from 16,200 to get 14,580
Therefore, the value of the car after three years is now $14,580.
Ha mush and Harry work as plumbers Harry earns a dollar more than more than 5/4 the amount gaming earns per hour the amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour how much does each of them earn per hour
Answers
Answer:
Hamish's earning = $20
Harry's earning = $26
Step-by-step explanation:
Given the following :
Let Harry's earning per hour = x
Let Hamish earning per hour = y
Harry earns a dollar more than more than 5/4 the amount hamish earns per hour;
Therefore,
x = 5/4y + 1
x - 5/4y = 1 - - - - (1)
the amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour
x = 7/5y - 2 - - - - (2)
Substituting (2) into (1)
7/5y - 2 - 5/4y = 1
7/5y - 5/4y = 1 + 2
7/5y - 5/4y = 3
Taking the L. C. M
(28y - 25y) / 20 = 3
28y - 25y = 60
3y = 60
y = 20
Substitute y = 20 into (1)
x - 5/4(20) = 1
x - 100/4 = 1
x - 25 = 1
x = 1 + 25
x = 26
y = Hamish's earning = $20
x = Harry's earning = $26
The functions f(x) and g(x) are graphed.
On a coordinate plane, a curved red line with an upward arc, labeled g of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0).
Which represents where f(x) = g(x)?
f(2) = g(2) and f(0) = g(0)
f(2) = g(0) and f(0) = g(4)
f(2) = g(0) and f(4) = g(2)
f(2) = g(4) and f(1) = g(1)
Answers
Answer:
[tex]f(0)=g(0)[/tex] and [tex]f(2) = g(2)[/tex]
Step-by-step explanation:
According to the question, the curved red line represents [tex]g(x)[/tex] and the straight blue line represents [tex]f(x)[/tex].
The important thing here is that the equality of functions [tex]f(x)=g(x)[/tex] is represented as a common function between their curves. So, we just need to find such a common point for both.
[tex]f(x)[/tex] has points (0, 4) and (2, 0).
[tex]g(x)[/tex] has points (0,4) and (2,0).
Notice that both functions have the same y-value for x=0 and x=2, that means
[tex]f(0)=g(0)[/tex] and [tex]f(2) = g(2)[/tex].
Therefore, the right answer is the first choice.
The correct answer is option A which is f(2) = g(2) and f(0) = g(0)
What is a function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
According to the question, the curved red line represents g(x) while the straight blue line represents f(x).
The important thing here is that the equality of functions f(x) = g(x) is represented as a common function between their curves. So, we just need to find a common point for both.
f(x) has points (0, 4) and (2, 0).
g(x) has points (0,4) and (2,0).
Notice that both functions have the same y-value for x=0 and x=2, which means
f(2) = g(2) and f(0) = g(0)
Therefore correct answer is option A which is f(2) = g(2) and f(0) = g(0)
To know more about function follow
https://brainly.com/question/2833285
#SPJ5
select the coordinates of two points on the line y = -2
Answers
Answer: (0, -2) & (1, -2)
Step-by-step explanation:
There are an infinite number of coordinates on y = -2.
The coordinates can have any x-value, but must have -2 for the y-value.
1. In your own words please describe a Relations vs. Function
2. please describe the mathematical order of operation(photo attached)
Answers
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
1. Relations are the set of y (output) and x (input) values that are related. A function is when each input has a relation with one output.
2. The mathematical formula is the formula of Pythagoras theorem. Where the length c (hypotenuse) is equal to the square root of the sum of the legs squared.
Using the order of operations, what should be done first to evaluate 6 squared + 10 divided by (negative 5) (3) minus 5?
A.Subtract 5 from 3.
B.Divide 10 by –5.
C.Add 6 and 10.
D.Evaluate 6 squared.
Answers
Answer:
apply the BODMAS concept
brackets, off, division, multiplication, addition, subtraction
Step-by-step explanation:
(6²+10)÷(-5×3)-5
in this case the answer is D
Please answer this in two minutes
Answers
Answer:
14.
Step-by-step explanation:
From the question given, we obtained the following information:
When angle θ = 60°
Adjacent = 7
Hypothenus = s
When angle θ = 30°
Opposite = 7
Hypothenus = s
We can use any of the above to determine the value of 's'.
Here, we shall consider when angle θ is 60°.
Cos θ = Adjacent /Hypothenus
Angle θ = 60°
Adjacent = 7
Hypothenus = s
Cos θ = Adjacent /Hypothenus
Cos 60° = 7/s
But Cos 60° = 1/2
1/2 = 7/s
Cross multiply
s = 2 x 7
s = 14
Therefore, the value of 's' is 14
If k is a negative even integer that is greater than -7.86 what is the least possible value of k step by step explanation
Answers
Answer: The least possible value of k is -6.
Step-by-step explanation:
Let 'k' be the negative even integer that is greater than -7.86 .
On number line, -7.86 lies between -7 and -8 such that
-7 > -7.86 > -8
So, -7 is the least integer that is greater than -7.86.
Since, -6 > -7 . That means -6 is the least negative even integer that is greater than -7.86 .
Hence, the least possible value of k is -6.
Find the smallest number which
when multiplied with 28800 will
the product a perfect cube
furthur, find the
find the cube root of
the product.
Answers
Answer:
Step-by-step explanation:
28800 = 2 * 2 * 2 * 2 * 2 * 3 * 3 * 10 * 10
You need one 2
You need one 3
You need one 10
28800 * 2 * 3 * 10 = 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3 * 10 * 10 * 10
(2*6 * 3* 3^3 * 10^3) ^(1/3)
2*2 * 3 * 10 is the cube root
120
Pls help (probability)
The table below provides the drinking and smoking habits of 1200 college students surveyed. What is the
probability that someone in this group drinks, if you already know that that
person smokes?
Answers
Answer:
315/1200 = 63/240 = 21/80 = 0.2625 = 26.25%
Step-by-step explanation:
Determine the inequality represented by the following diagram
Answers
find the value of x.
Answers
Answer:
A. 7
Step-by-step explanation:
The problem is poorly specified, so technically cannot be answered with a specific number.
If we assume the "horizontal" lines are all parallel, then the one marked 21-x has a length that is the average of the other two:
(17 +11)/2 = 21 -x
14 = 21 -x
x = 21 -14 = 7
The value of x is 7.
_____
The attachment shows what happens when the lines are not parallel. The range of the midline lengths is from 3 to 14 for the segment lengths shown.
If a cone is 5 meters tall and has a radius of 3 meters, What is its volume? 15π m3 60π m3 45π m3 30π m3
Answers
Answer:
V = 15 pi m^3
Step-by-step explanation:
The volume of a cone is
V = 1/3 pi r^2 h
The radius is 3 and the height is 5
V = 1/3 pi ( 3)^2 *5
V = 15 pi m^3
Answer:
15 pi m3
Step-by-step explanation:
PLEASE, I NEED HELP! I will not accept nonsense answers, but I will give the person a BRAINLIEST if you get it correct.
Answers
Answer: The last choice is correct. Edna can score 5 times as many points in the next level as in the level she has reached
Step-by-step explanation: chart of values for [tex]y= 5^{x}[/tex]
x is the level y, points possible)
x y
1 5
2 25
3 125
4 625
5 3125
You can see the exponential pattern
For what it's worth, two views of the graph of the equation are attached
The point values are astronomical!
ABCD is a square. Square A B C D is shown. A diagonal is drawn from point A to point C. The measure of angle B A C is question mark. What is the measure of angle BAC? 30° 45° 60° 90
Answers
Answer:
45°
Step-by-step explanation:
Since the diagonal cuts the square into two triangles, the angles b, a, and , c all add up to 180°. Because the shape is a square we know that one of the angles is right/90° meaning the two remaining angles are 45°. Angles a, and c had the diagonal drawn through so those two angles are each 45° and b is 90°, and since they are asking for bac we know that they want the middle angle, i.e angle A.
Since ABCD is a square, and AC is the diagonal of the square, therefore, the measure of angle BAC would be: B. 45°.
What is a Square?A square is a quadrilateral that has four interior angles of 90 degrees each, and also has four equal sides.The diagonal of a square bisects each vertex of the square into equal halves.Thus, since ABCD is a square, and AC is the diagonal of the square, therefore, the measure of angle BAC would be: B. 45°.
Learn more about a square on:
https://brainly.com/question/24579466