Answer:
15.13 cm
Step-by-step explanation:
We are given:
Lateral surface area of a right circular cone : πr√r² + h²
From the question, we know that:
Lateral surface area = 236.64cm²
Radius = 4.75cm
Height = ?
Making h the subject of the formula
h = √[(A/r)² - πr²]/π
h = √[(236.64/4.75)² - π ×4.75²]/π
h = √(2481.9275169 - 70.882184247)/π
h = 15.12975 cm
Approximately to the nearest hundredth = 15.13cm
7x2+6=23x
a. What is the first step when solving this quadratic equation?
b. What are the solutions to the equation?
Answer:
x = 3, x = [tex]\frac{2}{7}[/tex]
Step-by-step explanation:
(a)
The first step is to subtract 23x from both sides, that is
7x² - 23x + 6 = 0 ← in standard form
(b)
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 7 × 6 = 42 and sum = - 23
The factors are - 21 and - 2
Use these factors to split the x- term
7x² - 21x - 2x + 6 = 0 ( factor the first/second and third/fourth terms )
7x(x - 3) - 2(x - 3) = 0 ← factor out (x - 3) from each term
(x - 3)(7x - 2) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
7x - 2 = 0 ⇒ 7x = 2 ⇒ x = [tex]\frac{2}{7}[/tex]
Isabella's water bottle holds 4 cups of water. How many times can she fill her water bottle from a 1-gallon jug of water?
Fill in the missing numbers:
8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, etc.
Answer:
20 2 3 6 10 998778889899999
QUICK ILL GIVE BRAINLIEST
Points P(4, 7) and Q(1, 4) are two vertices of a square. Which coordinates, R and S, will make PQRS a square?
Answer:
P-4,7
Q-1,4
R-4,4
S-1,1
Step-by-step explanation:
4,4- 1,4 theres a 3 unit distance. just subtract 3 from y and you'll get the answer
Givens: <-->AD is the perpendicular bisector of segment BC AB = 7x+1 AC = 8x-6 BC = 3x + 9 Find: BD
Answer:
wheres the pic
Step-by-step explanation:
Lin drove her car at a constant speed 164 miles in 4 hours. Manuel rode his motorcycle 140 miles in 3.5 hours. Who rode faster? By how much?
Answer: Manuel Because He was on the motor bike less. She was in the car driving for 4 HOURS he was on the bike less for a grand total of 3.5 HOURS so MANUEL was faster. :)
And he was faster by 30 minutes...
This is one of those questions where they try to put you focus on something else like speed speed does not matter!! :)
Yesterday, the temperature at noon was 22.5 degrees. By midnight, the temperature had decreased by 27.7 degrees. What was the temperature at midnight?
Answer:
54.23
Step-by-step explanation:
If that not a choice simpfly
Write the equation in standard
form of the line that has
x-intercept 6 and y-intercept -2.
Answer:
x - 3y = 6
Step-by-step explanation:
Equation of the line in intercept form
The intercept form of the equation of a line is:
[tex]\displaystyle \frac{x}{a}+\frac{y}{b}=1[/tex]
Where:
a = x-intercept
b = y-intercept
The standard form of a line is:
Ax + By = C
The given line has a=6 and b=-2, thus:
[tex]\displaystyle \frac{x}{6}+\frac{y}{-2}=1[/tex]
Multiplying by 6:
x - 3y = 6
This is the required standard form of the line.
Thus, the standard form of the line is:
x - 3y = 6
Please help..
Give a example of force applied to an object that dies not change the objects's velocity.
Answer:
friction
Step-by-step explanation:
Consider an object that's not moving, like a chair at rest on the floor. There are two forces acting on it:
• its own weight, pulling it downward
• the normal force, i.e. the floor pushing upward on the chair.
Both of these forces are non-vanishing, but the net force is 0, so the chair remains at rest and its velocity stays at 0.
Helppppppppppppppppppp
Answer:
1/8^4
Step-by-step explanation:
when divinding exponents with the same base, subtract the power. you get 8^-4. since the problem specifies no negative exponents you need to simplify. this give you 1/8^4
finding centroid of triangles
I got this question wrong. My teacher said something about altitude, but I have not a clue how to do it
Answer:
cone shape and cm 3
area of shape
Step-by-step explanation:
3 cm ×8 cm
24
please follow me all friends who are watching me who made answer
a $320 dollar suit is marked down by 30% find the sales price
Answer:
224
Step-by-step explanation:
Problem 11-15 Using CAPM A stock has an expected return of 10.5 percent, a beta of 1.55, and the expected return on the market is 8.5 percent. What must the risk-free rate be? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.G., 32.16.)
Answer:
the risk free rate of return is 4.86%
Step-by-step explanation:
The computation of the risk free rate is shown below;
As we know that
Expected return = Risk free rate of return + Beta × (Market rate of return - risk free rate of return)
10.5% = Risk free rate of return + 1.55 × (8.5% - Risk free rate of return)
10.5% = Risk free rate of return + 13.175% - 1.55 Risk free rate of return
10.5% - 13.175% = -0.55 risk free rate of return
-2.675% = -0.55 risk free rate of return
So, the risk free rate of return is
= 2.675% ÷ 0.55
= 4.86%
Hence, the risk free rate of return is 4.86%
Find the measure∠1 of in the figure, shown to the right
Which system of linear inequalities is represented by the
graph?
O y > x-2 and x- 2y < 4
O y > + 2 and x + 2y < 4
Oy>X-2 and x+ 2y < 4
Oy>x-2 and x +2y<-4
Answer:
y > x - 2.
2*y + x < 4
The correct option is the third one.
Step-by-step explanation:
First let's find the red shaded part.
We can see that the shade is above the line, then we will have something like:
y > a*x + b
where a*x + b is the equation for the line.
a is the slope, and b is the y-intercept.
In the graph, we can see that the line intercepts the y-axis at y = -2, then we have:
b = -2
To find the slope we need two points of the line, we can use the points (0, -2) and (2, 0)
We know that for a line that passes through the points (x1, y1) and (x2, y2) the slope is:
a = (y2 - y1)/(x2 - x1)
Then for this line, the slope will be:
a = (0 - (-2))/(2 - 0) = 2/2 = 1
Then the equation for this line is:
1*x - 2
And the inequality is:
y > x - 2.
Now for the blue one, the shaded part is below the line, then we will have:
y < a*x + b
In this case, the y-intercept is y = 2.
And we can see that this line passes through the points (0, 2) and (4, 0)
Then the slope is:
a = (0 - 2)/(4 - 0) = -2/4 = -1/2
Then this inequality is:
y < (-1/2)*x + 2
If we rewrite this as the ones shown in the options, we have:
y < (-1/2)*x + 2
2*y < -x + 2*2
2*y + x < 4
Then the two inequalities are:
y > x - 2.
2*y + x < 4
Then the correct option is the third one:
The system of linear inequalities y > x - 2 and x + 2y < 4 is represented by the graph
InequalityInequality is an expression that shows the non equal comparison of two or more numbers and variables
Given the inequalities y > x - 2 and x + 2y < 4, plotting the two inequalities using the geogebra online graphing tool.
The solution of the inequality on the graph is the very dark region.
Find out more on Inequality at: brainly.com/question/24372553
Curtis estimates that he can run 18 mph. About how many feet per second can Curtis run if there are 5280 feet in a mile?
Answer:26.4 feet per second
Step-by-step explanation:
Answer:
26.4 fps (feet per second)
Step-by-step explanation:
HELP! WILL MARK BRAINLY EST!
Answer:
answer: B
Step-by-step explanation:
a school population of 1200 increases by 6% per year what will the population be after 4 years
Answer:
Step-by-step explanation:
1200x6%(.06)=72
72x4=288
1200+288=1488
1200+72=1272+72=1344+72=1416+72=1488
Please help me out.
Answer:
it's 4
Step-by-step explanation:
big brainnnnnnnnnn
find the determinant of the following matrix. [2 3] [1. 4]
The determinant of a 2x2 matrix is defined as
[tex]\left|\begin{array}{ccc}a&b\\c&d\end{array}\right|=ad-bc[/tex]
So, in your case, the determinant is
[tex]2\cdot 4-1\cdot 3 = 8-3=5[/tex]
Given matrix is:
[tex]\begin{bmatrix}2 & 3 \\ 1 & 4\end{bmatrix}[/tex]As we know that,
→ [tex]\begin{vmatrix}a & b\\ c & d\end{vmatrix} = ad -bc[/tex]
then,
The determinant will be:
= [tex]2\times 4-1\times 3[/tex]
= [tex]8-3[/tex]
= [tex]5[/tex]
Thus the above response is correct.
Learn more about determinant here:
https://brainly.com/question/20333341
Robert run the 100 meter dash in 13.5. later he run same distance in 10.3 seconds. how many seconds less did it take him to run the same distance the second time?
Answer:
3.2seconds
Step-by-step explanation:
Step one:
Robert run the 100 meter dash in 13.5 seconds
We are told that he later run same distance in 10.3 seconds
Required.
The time difference in the first dash and the second
Step two:
The first dash took 13.5 seconds
the second took 10.3 seconds
the difference = 13.5-10.3= 3.2seconds
30 in
18 in
b
What is the length of the missing leg?
b
inches
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their
meal costs $78.28 before the discount, and they leave a 20% tip. If the tip applies to
the cost of the meal before the discount, what is the total cost of the meal? Round
your intermediate calculations and answer to the nearest cent.
3.2 geometry worksheet
Answer/Step-by-step explanation:
5. 21x + 4 = 22x - 2 (corresponding angles)
Collect like terms
21x - 22x = -4 - 2
-x = -6
divide both sides by -1
x = 6
6. (x + 72) + (x + 132) = 180 (linear pair)
x + 72 + x + 132 = 180
Add like terms
2x + 204 = 180
2x = 180 - 204
2x = -24
x = -12
7. 90 = 22x + 2 (vertical angles)
90 - 2 = 22x
88 = 22x
Divide both sides by 22
4 = x
x = 4
8. 12x + 10 = 13x + 3 (vertical angles)
Collect like terms
12x - 13x = -10 + 3
-x = -7
Divide both sides by -1
x = 7
9. 17x = 16x + 5 (alternate exterior angles)
17x - 16x = 5
x = 5
✔️17x
Plug in the value of x
17(5) = 85°
10. 21x - 6 = 20x (corresponding angles)
Add like terms
21x - 20x = 6
x = 6
✔️20x
20(6) = 120°
Simplify: 2k(14) + 7(2k) - 2
Answer:
42k-2
step by step equation:
calculator apps
7X-2=19
7x=19+2
7x=21
X=3
How do I verify this answer?
Answer:
to verify this answer you need to substitute the answer you got for x
Step-by-step explanation:
7(3)-2=19
21-2=19
19=19
this means that you are correct
Find the equation of the line that is parallel to the given line and passes through the given point.
y=-6x + 9; (8,9)
The equation is y =
Answer:
y = -6x - 39
Step-by-step explanation:
A parallel line will have the same slope so m= -6, but it will have different points.
So we have y= -6x + b and the points are (8,9)
Substitute that in
9 = -6*-8 + b
9 = 48 + b
subtract 48 on both sides
9-48 = 48 - 48 + b
-39 = b
so equation is
y = -6x -39
click the red heart button to give thanks :) happy holidays
Answer:
y=-6x+9
0=-6x+9
6x=9
x=9/3
x=3/2
–5x + 10 > –15?
solve
Answer:
x<5
Step-by-step explanation:
Answer:
-2 > -15
Step-by-step explanation:
-2 is greater than -15
The ratio of girls to boys in a student basketball league is 3:4. Choose true or false for the following statement: If there are 30 girls in the league, there
would be 40 boys. *
Answer:
True. 3:4 is the same as 30:40 because they both times 10
Step-by-step explanation: