Answers
Answer:
Step-by-step explanation:
Since length times width = the area, you know that the area divided by the length is the width. This means that 6x^2 + 10 / 2 = the length.
6x^2 / 2 = 3x^2
10/2 = 5
You end up with 3x^2 + 5 as the length.
Answer & Step-by-step explanation:
Since you trying to find the width when you are given the length and the area, then you are going to divide the area by the length to get the width.
(6x² + 10) ÷ 2
We can also put this into a fraction so it will be easier to know what you are dividing.
[tex]\frac{6x^2+10}{2}[/tex]
Divide 6x² by 2 and divide 10 by 2. Keep the exponent because 2 does not have a variable.
So, your width will be 3x² + 5
Related Questions
In triangle ABC, Aat the top of the triangle, B at 90° and C at the third end, angle C = 21°, the hypotenus = 15m,find BC = y the unknown side
Answers
Answer
Step-by-step explanation:
Law of sines: SinB/15 = SinA/BC
B = 90
A = 180-90-21=69°
BC= (15*SinA)/SinB = (15*sin69)/1 ≈ 14m
which numbers are solutions of the inequality x>-12 ? check all that apply.
-20
-12
-7
0.9
8.5
16
Answers
Answer:
- 7, 0.9, 8.5, 16
Step-by-step explanation:
It should be that x must be greater than - 12, so let us consider all options;
[tex]- 20 < - 12,\\- 12 = - 12,\\ - 7 > 12,\\ 0.9 > 12,\\8.5 > - 12,\\16 > - 12[/tex]
Let us substitute x as each of these values;
[tex]x < - 12,\\x = - 12,\\x > - 12,\\x > - 12,\\x > - 12,\\x > - 12[/tex]
As you can tell, the last 4 Options are applicable;
Solution ⇒ - 7, 0.9, 8.5, 16
The solutions to inequality are - 7, 0.9, 8.5, and 16.
What is inequality?In mathematics, an inequality is a relation that makes a non-identical contrast between two numbers or other mathematical expressions.
What are the 5 types of inequality math?greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), not equal to symbol (≠).Learn more about inequality here https://brainly.com/question/11613554
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Use the Law of Sines to complete an expression that represents the angle measure x.
Answers
Answer:
The length of a is equal to 14.9.
The angle measure of b is equal to 71°.
The length of c is equal to 25.5.
General Formulas and Concepts:
Pre-Calculus
Law of Sines:
[tex]\displaystyle \bold{ \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} }[/tex]
Step-by-step explanation:
Step 1: Define
Identify given from triangle.
Length corresponding with x°: 14.9
Other given angle: 71°
Length corresponding with 71°: 25.5
Step 2: Find Values
[Law of Sines] Substitute in variables:[tex]\displaystyle \frac{\sin x^\circ}{14.9} = \frac{\sin 71^\circ}{25.5}[/tex]Isolate x° term:
[tex]\displaystyle \sin x^\circ = \frac{14.9 \sin 71^\circ}{25.5}[/tex]Isolate x°:
[tex]\displaystyle x^\circ = \sin^{-1} \bigg( \frac{14.9 \sin 71^\circ}{25.5} \bigg)[/tex]Identify variables:
[tex]\displaystyle a = 14.9 , \ b = 71^\circ , \ c = 25.5[/tex]
∴ we have completed the expression using Law of Sines.
---
Topic: Precalculus
Unit: Trigonometry
A school band decides to hold a bake sale to raise money. They withdrew $50 from the band's account for ingredients. The deposit they made back into the account from the sale was $140. What was the overall increase or decrease in the band's account?
Answers
Answer:
90
Step-by-step explanation:
140-50
this is because the band took 50 and got 140 to remove 50 from 140
Find the slope of the line will mark as brain
y
=
–9
4
x
−
1
4
.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer negative 9 is the answer
Step-by-step explanation:
How would I do this? Solve for q. –10 + 10q = 9q
Answers
Answer:
q=10
Step-by-step explanation:
-10+10q=9q
-10=-q
q=10
Convert 1 1/3 to a improper fraction
Answers
Answer:
3 2/3
Step-by-step explanation:
Divide 11 by 3 using long division method. then place the quotient as whole number and reminder as numerator and dividend as denominator
The fraction 1 1/3 as an improper fraction is 4/3
How to write an improper fractionFrom the question, we have the following parameters that can be used in our computation:
Fraction = 1 1/3
When converted to an improper fraction, we have
Numerator = 3 * 1 + 1
Evaluate
Numerator = 4
The denominator remains the same
So, we have
Fraction = 4/3
Hence, the fraction is 4/3
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cuba is famous of which crop
Answers
Somebody please help! And show your work!
Answers
a= 34 degrees
b= 28 degrees
c= 62 degrees
Step-by-step explanation:
First you know that b is 1/2 of 56 degrees or 28.
The triangle with the a in it is isoceles because the two sides are both radii.
In the triangle the top angle = 112 because it is a centeral angle to the 112 arc.
Angle a and opposite to a are equal and then have to be 34 degrees to equal 180.
We know two arc lengths are 112 and 56 and the one with angle a has to be 34x2 or 68.
a whole circle equals 360.
360-56-68-112 = 124
Angle c = 1/2 of 124, or 62 degrees
x=12-1//3x
can anyone tell me the full answer
Answers
Answer:
x=9 is the answer......
Shiela either walks or cycles to school the probability that she walks is 0.65 if she walks the probability that she is late is 0.4 if she cycles the probability that she is late is 0.1 What is the probability that she will not be late for school
Answers
Answer:
0.705
Step-by-step explanation:
Data:
walks=0.65 and is late=0.4;is not late=0.6
cycles=0.35 and is late=0.1;is not late=0.9
The probability of sheila walking and not being late:
0.65 x 0.6=0.39
AND probability of being not late and cycling:
0.35 x 0.9=0.315
therefore,the probability of sheila walking or cycling and still not being late:
0.39+0.315=0.705
If f ( x ) f ( x ) is a linear function, f ( − 5 ) = 0 f ( - 5 ) = 0 , and f ( 2 ) = 4 f ( 2 ) = 4 , find an equation for f ( x ) f ( x )
f(x)=________
Answers
================================================
Explanation:
We have
f(-5) = 0 and f(2) = 4
This means the two points (-5,0) and (2,4) are on this line
----------
Find the slope of the line through (x1,y1) = (-5,0) and (x2,y2) = (2,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 0)/(2 - (-5))
m = (4 - 0)/(2 + 5)
m = 4/7 is the slope
----------
Plug m = 4/7 and (x1,y1) = (-5,0) into the point-slope formula. Solve for y.
y - y1 = m(x - x1)
y - 0 = (4/7)(x - (-5))
y = (4/7)(x + 5)
y = (4/7)x + (4/7)*5
y = (4/7)x + 20/7
f(x) = (4/7)x + 20/7
This linear equation has a slope of 4/7 and a y intercept of 20/7.
The equation for f ( x ) would be; f(x) = (4/7)x + 20/7
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
We are given f(-5) = 0 and f(2) = 4
This means the two points (-5,0) and (2,4) are on this line
To Find the slope of the line through (x1,y1) = (-5,0) and (x2,y2) = (2,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 0)/(2 - (-5))
m = (4 - 0)/(2 + 5)
m = 4/7 is the slope
Then substitute m = 4/7 and (x1,y1) = (-5,0) into the point-slope formula. Solve for y;
y - y1 = m(x - x1)
y - 0 = (4/7)(x - (-5))
y = (4/7)(x + 5)
y = (4/7)x + (4/7)*5
y = (4/7)x + 20/7
f(x) = (4/7)x + 20/7
The linear equation has a slope of 4/7 and a y intercept of 20/7.
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The polynomial f(x) is written in factored form: f(x) = (x − 3)(x + 8)(x − 11) What are the zeros of the polynomial function?
x = 3, x = 8, x = 11
x = 3, x = −8, x = 11
x = −3, x = 8, x = −11
x = −3, x = 3, x = −8, x = 8, x = −11, x = 11
Answers
Answer:
x=3 x = -8 x = 11
Step-by-step explanation:
f(x) = (x − 3)(x + 8)(x − 11)
Using the zero product property
0 = (x − 3)(x + 8)(x − 11)
0 = x-3 0 = x+8 0 = x-11
x=3 x = -8 x = 11
Answer:
x=3 x = -8 x = 11
Hope this helps!
EASY question for y’all mathy people, easy points! Question in photo.
Answers
Answer:
Step-by-step explanation:
A linear function is a line which, in slope-intercept form, follows
y = mx + b,
where m is the slope and b is the y-intercept.
The only one that follows that form is B. B can be rewritten as
[tex]y=\frac{1}{3}x+2[/tex]
and in that form we see that the slope value is 1/3 and the y-intercept is 2. The choice is B.
A is a radical function moved up from its originating spot; C is an inverse function moved down 4 units from its originating spot with a vertical asymptote at x = 0; and D is a cubic moved down 10 units from its originating spot.
B is the one you want.
CORRECT AND CLEAR ANSWER WILL BE GIVEN BRAINLIEST An object of mass 0.30 kg is thrown vertically upwards and reaches a height of 8.0 m. Calculate: (a) it's final potential energy (b) The velocity with which it must be thrown, neglecting air resistance ( assuming g = 10m/s²)
Answers
Answer:
Final potential energy = 24 Joule
The velocity with which object must be thrown = [tex]4 \sqrt{10}[/tex] m/s
Step-by-step explanation:
Given:
Mass of object, m = 0.30 Kg
Height of object, h = 8 m
Acceleration due to gravity, g = 10 [tex]ms^{-2}[/tex]
a) Formula for Potential Energy:
[tex]E_p =mgh[/tex]
Where m is the mass of object
g is acceleration due to gravity and
h is the height of object
Putting the values of m, g and h
[tex]E_p = 0.3 \times 10 \times 8\\\Rightarrow E_p =24 J[/tex]
b) Formula for initial and final velocity:
[tex]v^{2} =u^{2} +2gh[/tex]
where v is the final velocity
u is the initial velocity with which the object is thrown
g is acceleration due to gravity and
h is the height obtained by object
here v = 0 at the height 8 m because it will come to rest at the point it attains the maximum height.
h = 8m
g = -10 [tex]ms^{-2}[/tex] (negative because the object's velocity is decreasing)
Putting the values to find 'u':
[tex]0^{2} =u^{2} +2 \times -10 \times 8\\\Rightarrow u^{2} = 160\\\Rightarrow u = 4 \sqrt{10}\ m/s[/tex]
The table shows the scores of a biology test in Mrs. Smiths class . Find the mean of the data without Kim’s score.
A- 80
B- 87.2
C- 90
D- 84.5
Answers
That will give you B
Hope this helps! :)
Answer:
87.2
Step-by-step explanation:
90+93+87+83+86+90+82=611
611/7=87.29
answer is b
If f(x)=3x^2+1 and g(x)=1-x what js the value of (f-g)(2)?
Answers
Answer:
14.
Step-by-step explanation:
Simplify:
f(x)-g(x)
3x^2+1 - (1-x)
3x^2+ x
Solve:
(f-g)(2)
3(2)^2 + 2= 3*4+2
= 14
If -3/x = x/-27 , What is the positive value of x
Answers
Answer:
-3=x^2/-27
x^2=(-3)(-27)
x=9 or x=-9
Step-by-step explanation:
identify the domain of the function shown in the graph.
A. x is all real numbers
B. 0<x<5
C. -5<x<5
D. x>0
Answers
Answer:
A, all real numbers
Step-by-step explanation:
The domain is the x value and the x value is the domain.
So when you take a look at the x values, it keeps going on and on
So when x values or y values keep going on forever we call that all real numbers
Hope this helps! Plz mark brainliest!
please help me asap
Answers
Answer:
that's the lowest term actually
Zachary can't believe how bad London's traffic is today. In the past 10 minutes, his cab has barely moved 500 meters! He wonders if walking would have been faster. If Zachary walks at an average speed of 5 kilometers per hour, how many minutes would it take him to walk 500 meters?
Answers
Answer:
6 min
Step-by-step explanation:
5 kilometers = 5,000 meters
500/5,000 = 1/10 meaning it would take him 1/10 of an hour or 6 minutes to cover this distance.
In a test +3 marks are given for every correct answer and -1 mark for every incorrect answer. Sona attempted all the questions and scored +20 marks through she got 10 correct answers. How many questions were asked?
Answers
Answer: 20
Step-by-step explanation:
(i) Sona got 10 answers correct.
1 correct answer = 3 marks
10 correct answers = 10×3 = 30 marks but she got only 20
1 wrong answer = -1 mark
that means she attempted 10 incorrect answers.
No.of questions in the test= no.of incorrect + no.of correct answers
10+10= 20
Based on an architectural drawing, a roof slopes to a drain
along the function represented in the table that defines the
edge of slope, where x is the horizontal distance in feet and
f(x) is the vertical distance in feet.
If the drain is at the minimum point, how far is it from the wall
defined by the y-axis?
A. O feet
B. 8 feet
C. 80 feet
D. 160 feet
Answers
Answer:
80 feet
Step-by-step explanation:
Given that x is the horizontal distance in feet and f(x) is the vertical distance in feet. The minimum point of a function is its lowest point. For a quadratic equation, at its minimum or maximum point, the slope of the graph is equal to zero.
For the table of the function given below, it can be seen that the lowest point occurs when x = 80 feet, at this point, the value of f(x) is at its lowest which is 0.
Therefore at the minimum point, it is 80 feet far from the wall .
Answer:
The answer is C!
Step-by-step explanation:
Your welcome
A.) 10.9
B.) 8.6
C.) 7.3
Answers
Answer:
Option (c) 7.3
Step-by-step explanation:
Since is forms a right angled traingle,
a= 3+4= 7
b = 4-2= 2
c = AB
Pythagorean theorem:
a^2+b^2 = c^2
So since we know a and B but the hypotenuse (c) is missing
7^2 + 2^2 = c^2
c^2 = 49+4
= 53
c = √53
= 7.28 rounded off to 7.3
So the length of hypotenuse or c is 7.3 units
Therefore, the length is 7.3
What is the range of the function below?
Answers
Answer:
C
Step-by-step explanation:
f(x)=72-4x
72-4x=0
4x=72
x=18
f(x)<=18
100 + x = 50 ( find x)
Answers
Just subtract 100 - 50 and you get x = 50
Answer:
x = 50
Step-by-step explanation:
100 -50 = 50
50+50=100
Have a wonderful day and stay safe!
Xavier, Yaozhou and Zara had some beads. Xavier and Yauzhou had a total of 438 beads. Xavier and Zara had a total of 04 beads. Yaozhou had 3 times as many beads as Zara. How many beads did Xavier have?
Answers
Answer:
Xavier has 136 beads, Yaozhou has 204 beads and Zara has 68 beads.
Step-by-step explanation:
Let the number of beads that Xavier has be x.
Let the number of beads that Yaozhou has be y.
Let the number of beads that Zara has be z.
The total number of beads they have altogether is 438. This means that:
x + y + z = 438 _______(1)
Xavier and Zara have a total of 204 beads. This means that:
x + z = 204
=> x = 204 - z _______(2)
Yaozhou has 3 times as many beads as Zara. This means that:
y = 3z _________________(3)
Put (2) and (3) in (1):
204 - z + 3z + z = 408
3z = 408 - 204 = 204
z = 204/3 = 68
From (2):
x = 204 - 68 = 136
From (3):
y = 3 * 68 = 204
Therefore, Xavier has 136 beads, Yaozhou has 204 beads and Zara has 68 beads.
Charlie invests £1200 at 3.5% per annum compound interest.
Work out the value of Charlie's investment after 3 years.
Answers
Answer:
£1,330.46Step-by-step explanation:
Using the compound interest formula [tex]A = P(1+\frac{r}{n} )^{nt}[/tex]
A = amount compounded after n years
P = principal (amount invested)
r = rate (in %)
t = time (in years)
n = time used to compound the money
Given P = £1200., r = 3.5%, t = 3years, n = 1 year(compounded annually)
[tex]A = 1200(1+0.035)^{3}\\ A = 1200(1.035)^{3}\\ A = 1200* 1.108717875\\A = 1,330.46[/tex]
Value of Charlie's investment after 3 years is £1,330.46
How long would it take you to reach 100 for the number of times you did your activity from this graph?
PLEASE HELP NOW
ILL GIVE YOU BRAINLIEST
Answers
Answer:
33 1/3 minutes
Step-by-step explanation:
I note x- number of sentences
y=time
when x=3, y=1
x=6, y= 2
I observe that for every 3 sentences I have one more minute ( y increases by 1) so y= x/3
when x=99 i have y=99/3=33 minutes
for x= 100 I have y=100/3minutes= 33 1/3 minutes
Use synthetic division to solve [tex]\frac{3x^{4} +6x^{3} +2x^{2} + 9x + 10 }{x+2}[/tex]. What is the quotient?
Answers
Explanation:
3x^4+6x^3+2x^2+9x+10/x+2
(x+1)(x+2)(3x^2-3x+5)/x+2
3x^2+2x+5