Answer:
114cm
Step-by-step explanation:
3×8×4=96
3×3×2=18
96+18=114
The length of a rectangle is three times the width. The area of the rectangle is 108 sq. inches what’s the triangles width?
Answer:ÑÑÑÑÑÑÑÑÑññÑÑÑÑññññññÑÑÑÑÑÑÑÑÑñÑÑÑÑññ
Step-by-step explanation:
Write 42 as a product of primes use index notation
Which constant number would be an to both sides of the equation rn order to complete the square for the quadratic function 1=x^2-6x
Answer:
k = 9
Step-by-step explanation:
Given
[tex]1= x^2 - 6x[/tex]
Required
The perfect number
The coefficient c of x in the above equation is:
[tex]c = -6[/tex]
Divide by 2
[tex]c/2 = -3[/tex]
Square both sides
[tex](c/2)^2 = 9[/tex]
Hence, the constant to add is:
[tex]k = 9[/tex]
Point P is the incenter of DEF. Point P is the point of concurrency of the angle bisector. Find PV
Answer:
12
Step-by-step explanation:
because line FB divides triangle f v w into two equal halves therefore line WP is equal to line PV which is equal to 12
The required value of the PV is 12 in triangle DEF where p is the incenter.
Point P is the incenter of ΔDEF. Point P is the point of concurrency of the angle bisector. PV to be determined.
The incenter of a triangle is the intersection point of the internal angle bisectors of the triangle. In additional expressions, it can be clarified as the point where the internal angle bisectors of the triangle and perpendicular distance from this point to any of the sides of triangle is the same.
Since in triangle FGH, P is the incenter and PW, PV,PX is perpendicular distance to the sides HF, GF and GH respectively.
From image,
PW = 12
So by the property of incenter, perpendicular distance from this point to any of the sides of triangle is the same.
PW = PV
PV = 12
Thus, the required value of the PV is 12 in triangle DEF where p is the incenter.
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THIS HURTS MY HEAD SO I CANT FOCUS, PLEASE HELP!
find the missing part of the pattern:
69388966938896?988963
Answer:
6
Step-by-step explanation:
HELP PLEASE HURRY
THANKS
Answer:
Step-by-step explanation:
please help! see question below :)
Answer:
I have no clue sorry bro.
Jin bought a pair of pants that cost $47.83. The sale tax in her state is 7.43 % what is the total cost of the pants ?
(show your work)
Answer:
$51.38
Step-by-step explanation:
7.43% of 47.83=(rounded to the nearest hundredth) 3.55
7.43/100*x/47.83
x=3.55
because we are solving for x
we can also cross check by taking out the percentage
x/100*3.55/47.83
47.83x=355
x=7.42212000836
which is about 7.43%
47.83+3.55= 51.38
Plot each angle on the unit circle below. You will need to draw additional radius segments
○ 0, 30, 60, 90, 120, 135, 150, 180, 210, 225, 240, 270, 300, 315, 330
Determine the radian measure for each angle
Determine the Sin, Cos, Tan for each angle
Use 0 as an example
Upload your completed circle in the dropbox provided.
Solution :
Trigonometric angles :
The trigonometric angles are defined as the angles that are obtained by the ratios of trigonometric functions. It shows the relationship between the sides of the triangle and the angles between them. These values of the trigonometric angles ranges from 0 to 36 degrees.
Below attached shown are the angles on a unit circle which shows the angles for each value of sin, cos and tan, and also the radian measure for each of the angles.
Please hurry I will mark you brainliest
The length of a rectangle is 5 less than 4 times the width. The perimeter is 136 m. Determine the dimensions of the rectangle. Write an equation and the “let statements”
Answer:
l = 14.6 m
b = 53.4 m
Step-by-step explanation:
Let breadth be x
Let lenght be 4x-5
so,
perimeter = 2(l+b)
136 = 2(4x-5+x)
or, 136 = 2(5x-5)
or, 136 = 10x - 10
or, 136 + 10 = 10x
or, 146 = 10x
or, x = 146/10
so, x = 14.6 m
so, breadth(x) = 14.6
so, lenght = 4x - 5
= (4×14.6)-5r
= 53.4m
Complete the similarity for the two triangles shown.
Triangle ABC
Answer:
triangle EFD
Step-by-step explanation:
f(x) = 275
1. Find the inverse of f(x) and its domain.
Answer:
y = 1/(x+1) -5
X cannot be -1 because the denominator would go to zero
Step-by-step explanation:
f(x) = 1/(x+5) -1
y = 1/(x+5) -1
Exchange x and y and solve for y
x = 1/(y+5) -1
x+1 = 1/(y+5)
Multiply by (y+5)
(x+1) (y+5) = 1
Divide by (x+1)
y+5 = 1/(x+1)
Subtract 5
y = 1/(x+1) -5
X cannot be -1 because the denominator would go to zero
What is the rate of change of the amount earned with respect to hours worked for this function?
A) 1/13 hours per dollar
B) 2/5 hours per dollar
C) 3 dollars per hour
D) 13 dollars per hour
The rate of change of the amount earned with respect to hours worked for this function is D. 13 dollars per hour.
What is rate of change?The rate of change for the point defined on the graph can be deduced by calculating the ratio of the difference between the two coordinate points given, similar to calculating the gradient or slope :
Point a = (5, 65) = (x₂, y₂)
Point b = (2, 26) = (x₁, y₁)
Calculating the gradient or slope :
Rate of change = (y₂ - y₁) / (x₂ - x₁)
Rate of change = (65 - 26) / (5 - 2)
Rate of change = 39 / 3
Rate= 13 dollars per hour
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Complete question
The graph shows the amount of money Miguel earns after working x hours. What is the rate of change of the amount earned with respect to hours worked for this function? hours per dollar hours per dollar 3 dollars per hour 13 dollars per hour
HELPPP ME OUTTTT!!!!!
Answer:
Measure of the unknown angle is 21°.
Step-by-step explanation:
In the given question,
Measure of opposite side and the measure of hypotenuse have been given.
Therefore, we will use the trigonometric ratio for the unknown angle which has the ratio of opposite side and the hypotenuse.
[tex]\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]=\frac{13}{36}[/tex]
[tex]=0.36111[/tex]
[tex]\theta \approx \text{sin}^{-1}(0.36111)[/tex]
[tex]\theta \approx 21.17[/tex]
[tex]\theta \approx 21^{\circ}[/tex]
Therefore, measure of the unknown angle is 21°.
This is a graph of the function g(x) =-3x+2. Determine the domain value when th
range value is -4.
Range = -4= g(x)
Therefore, g(x) = -3x+2
or, -4=3x +2
or, 3x= -4-2
or, 3x= -6
or, x= -6/3 = -2
OPTION A is the correct answer.
When the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.
To find the domain value when the range value is -4 for the function
g(x) = -3x + 2, we need to solve for x when g(x) = -4.
Given: g(x) = -3x + 2
When the range value is -4, we have:
-3x + 2 = -4
Now, isolate x:
-3x = -4 - 2
-3x = -6
Now, divide by -3 to solve for x:
x = -6 / -3
x = 2
So, when the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.
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A civil servant had a salary of Rs 9600. Tax up to Rs 85000 per year would be exempted. If he paid Rs 4530 as a tax, how much percent of tax was imposed?
Answer:
4%
Step-by-step explanation:
Yearly salary = 9600 * 12 = Rs. 115200
Tax = Rs . 4530
[tex]Tax \ percent = \frac{4530}{115200}*100[/tex]
= 3.93 = 4%
What is the area of the triangle? A) 6 squared inches B) 7 1/2 square inches. C) 10 square inches. D) 12 square inches
Answer:
A) 6 square inches.
Step-by-step explanation:
A(Triangle) = 1/2bh
b = base length
h = height length
A(Triangle) = 1/2(4)(3) = 6
Therefore, the area of the triangle is 6 in².
You just decided to open a savings account and went to the bank and made an initial deposit. You decide to save another set amount each month. Without any interest being paid, the equation =20+50
represents the amount of money,
y
, in your savings account after
m
months. Select what the slope and y-intercept represent in this problem.
(Choose 2)
Answer:
Options (1) and (4)
Step-by-step explanation:
Given equation for the deposit in the saving account is,
y = 20x + 50
Here, y = Amount of money in the account
20 = money added in the account every month
50 = Initial deposit
By comparing this equation with the slope-intercept form of the equation of a line,
y = mx + b
Here, slope m = money added in the account every month
And b = y-intercept
Therefore, Options (1) and (4) will be the answer.
How much water should be added to 90ml of 45 percent acid solution to dilute it to 25 percent acid solution
Answer:
72 ml
Step-by-step explanation:
Let
x = amount of water that should be added
45% acid solution = 45/100 = 0.45
25% acid solution = 25/100 = 0.25
The equation is
90(0.45) = 0.25(x + 90)
40.5 = 0.25x + 22.5
40.5 - 22.5 = 0.25x
18 = 0.25x
Divide both sides by 0.25
x = 18/0.25
= 72
x = 72 ml
Did I do this right?
Answer:
it must be yes!
Step-by-step explanation:
4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)
please show steps!!
Answer:
x = 0, π/3, 2π/3, π, 4π/3, 5π/3
Step-by-step explanation:
4cos^4(x) – 5cos^2(x) + 1 = 0
(4cos^2(x) - 1)(cos^2(x) - 1) = 0
When 4cos^2(x) - 1 = 0
cos^2(x) = 1/4
cos x = +/-1/2
so x = π/3, 2π/3, 4π/3, 5π/3.
When cos^2x - 1 = 0
cos x = +/- 1
x = 0, π.
x
The solution is : x = 0, π/3, 2π/3, π, 4π/3, 5π/3
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)
so, we get,
4cos^4(x) – 5cos^2(x) + 1 = 0
(4cos^2(x) - 1)(cos^2(x) - 1) = 0
When 4cos^2(x) - 1 = 0
cos^2(x) = 1/4
cos x = +/-1/2
so x = π/3, 2π/3, 4π/3, 5π/3.
When cos^2x - 1 = 0
cos x = +/- 1
x = 0, π.
Hence, The solution is : x = 0, π/3, 2π/3, π, 4π/3, 5π/3.
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Calculate the axis of symmetry in the equation Y = (x+1) (x-4)
Come on anyone please helppppppp.
Answer:
Every parabola has a turning point called the axis of symmetry,so for this question you just have to find the turning points
x turning point= -b/2a,and the y turning point is gotten by replacing the value of x in the equation
y=(x+1)(x-4)
=x^2-3x-4
a is 1,b is -3 and c is -4
x= -(-3)/2(1)
=1.5
and y=x^2-3x-4
=1.5^2-3(1.5)-4
= -6.25
therefore the axis of symmetry is (1.5,-6.25)
I hope this helps
The difference in hour between full-time and part-time who work 5 hours a day is 2 working hours. How many hours per day do full-timers work?
Answer:
7
Step-by-step explanation:
The part timer works 5 hours a day
the difference between the part timer and fill time is 2
5+2=7
What is the answer I need help ASAP be truthful
Answer:
your closest number should be A
Answer:
A.√99
Step-by-step explanation:
10^2 = 100
Or vise versa √100 = 10
The closest number to 100 is 99
So √99 is closest to 10
Select the correct location in the expression.
Consider this expression.
4x^4-6x^3+6x+3/x-3
Which term in the quotient of this expression contains an error?
Answer:
78
Correct term:60
Step-by-step explanation:
We are given that
[tex]\frac{4x^4-6x^3+6x+3}{x-3}[/tex]
The quotient of this expression is given by
[tex]4x^3+6x^2+18x+78+\frac{183}{x-3}[/tex]
We have to find the term in this expression which contains an error.
[tex]\frac{4x^4-6x^3+6x+3}{x-3}[/tex]
The quotient of this expression is given by
[tex]=4x^3+6x^2+18x+60[/tex]
[tex]Dividend=Divisor\times quotient+ remainder[/tex]
Using the formula
[tex]4x^4-6x^3+6x+3=(x-3)(4x^3+6x^2+18x+60)+\frac{183}{x-3}[/tex]
We can see that in the given expression there is 60 in place of 78.
The error in the expression of quotient is 78.
Correct term is 60.
help plsssssssssssssssssss
Answer:
The equation is:
y=5x-2
Answer:
write -3+6^x
Step-by-step explanation:
ur answer is true actually just don't write 'y='
Write an equation of a line containing a point (5, 5) and is perpendicular to
the line passing through (5, 3) and (10, 6).
A) X/4 + 3y = 10
B) -5 X + 3 Y = 40
C) 5x + 3 Y= 40
D) X + y = 0
Given TVW,MZV = 90°, TV = 14, and VW= 9,
which of the following choices is used to find mZW?
here's the answer to your question
help please summer school sucks!!!
Answer:
X =30
Step-by-step explanation:
= 60+90
=150
angle sum property
x+150=180
x=180- 150
x= 30
Answer:
Step-by-step explanation:
90 + 60 = 150
(right angles = 90)
There is 180 degrees in a triangle, therefore,
180 - 150 = 30
Therefore, x = 30
p.s. Are you good at history?
p.p.s I dont like summer school either =)
what is 8/9 divided 2/3
Answer:
4/3
Step-by-step explanation:
8/9 ÷ 2/3
Copy dot flip
8/9 * 3/2
Rewriting
8/2 * 3/9
4 * 1/3
4/3