Answer:
Step-by-step explanation:
Given data:
Circumference of the base of the cone = 24in.
Recall that circumference (in this case) is the distance round the base of the cone and from here the diameter D=12in. Radius = 6in
Surface area l = pie x radius ( slant height + radius)
= 3.142 x 6 (20 + 6)
= 3.142 x 6 (26)
= 3.142 x 156
= 490.152in^2
Answer:
384pi inches hop it halp!!!
Step-by-step explanation:
Peter walked 10m from X to Y on bearing 020° and then he turned and walked 20m to Z with bearing 140° of Z from Y. Find the distance between X and Z. Find the bearing of Z from X.
Answer:
17.32m ; 110°
Step-by-step explanation:
Distance between X and Z
To calculate the distance between X and Z
y^2 = x^2 + z^2 - (2xz)*cosY
x = 20, Z = 10
y^2 = 20^2 + 10^2 - (2*20*10)* cos60°
y^2 = 400 + 100 - (400)* 0.5
y^2 = 500 - 200
y^2 = 300
y = sqrt(300)
y = 17.32m
Bearing of Z from X:
Using cosine rule :
Cos X = (y^2 + z^2 - x^2) / 2yz
Cos X = (300 + 100 - 400) / (2 * 20 '*10)
Cos X = 0 / 400
Cos X = 0
X = cos^-1 (0)
X = 90°
Bearing of Z from X
= 20° + X
= 20° + 90°
= 110°
Which glide reflection describes the mapping ABC DEF. This is practice for me plz, give answer with explanation. Non-sense answer will get reported
Answer:
c. translation (x,y) -> (x-4, y-1) followed by reflection about y=0
Step-by-step explanation:
The strategy is to translate B to E then reflect about the x-axis (y=0)
From B to E, the process is
(x,y) -> (x-4, y-1)
Therefore it is a translation (x,y) -> (x-4, y-1) followed by reflection about y=0
Write 5x^2 - 10x + 4 in vertex form.
Answer:
y=5(x-1)^2-1
Step-by-step explanation:
Answer:
5(x - 1)² - 1
Step-by-step explanation:
Given
5x² - 10x + 4
Using the method of completing the square
The coefficient of the x² term must be 1 , so factor out 5 from the first 2 terms
= 5(x² - 2x) + 4
add/ subtract ( half the coefficient of the x- term )² to x² - 2x
= 5(x² + 2(- 1)x + 1 - 1 ) + 4
= 5(x - 1)² - 5 + 4
= 5(x - 1)² - 1 ← in vertex form
13.- La factorización correcta d
expresión 3x2- 24x + 21 es:
A) (3x-3)(x+7)
B) (3x+21)(x-1)
C) (3x+1)(x+21)
D) (3x-3)(x-7)
reción y
Answer:
Option (D)
Step-by-step explanation:
The given expression is,
3x² - 24x + 21
We will factorize the given expression by the following steps,
3x² - 24x + 21
= 3(x² - 8x + 7)
= 3(x² - 7x - x + 7)
= 3[x(x - 7) - 1(x - 7)]
= 3(x - 1)(x - 7)
= (3x - 3)(x - 7)
Therefore, factored form of the given expression is (3x - 3)(x - 7).
Option (D) will be the correct option.
(#1) Two thirds of Sandi's rose bushes bloomed this summer. One half of the roses that bloomed were pink. What part of Sandi's total rose bushes had pink blooms? If Sandi had 12 rose bushes, how many bore pink blooms? (#2) Mom has three quarters of a pound of chocolates. She divides the chocolates into portions that each weigh one eighth of a pound. If Mom eats one portion a day, for how many days will the chocolate last?
Answer:
The number of pink roses bloomed are 4.
Step-by-step explanation:
PQR shown in the figure below is transformed into STU by a dilation with center (0, 0) and a scale factor of 3
Answer:
Step-by-step explanation:
Given question is incomplete; here is the complete question.
∆ PQR shown in the figure below is transformed into ∆ STU by a dilation with center (0, 0) and a scale factor of 3.
Complete the following tasks,
- Draw ΔSTU on the same set of axes.
- Fill in the coordinates of the vertices of ΔSTU.
- Complete the statement that compares the two triangles.
When ΔPQR is transformed into ΔSTU by a dilation with center (0, 0) and a scale factor of 3,
Rule to followed to get the vertices of ΔSTU,
(x, y) → (3x, 3y)
P(1, 1) → S(3, 3)
Q(3, 2) → T(9, 6)
R(3, 1) → U(9, 3)
Length of QR = 2 - 1 = 1 unit
Length of PQ = [tex]\sqrt{(3-1)^2+(2-1)^2}=\sqrt{5}[/tex] units
Length of PR = 3 - 1 = 2 units
Length of ST = [tex]\sqrt{(9-3)^2+(6-3)^2}=3\sqrt{5}[/tex] units
Length of TU = 6 - 3 = 3 units
Length of SU = 9 - 3 = 6 units
Therefore, ratio of the corresponding sides of ΔPQR and ΔSTU,
[tex]\frac{\text{PQ}}{\text{ST}}=\frac{\text{QR}}{\text{TU}}=\frac{\text{PR}}{\text{SU}}[/tex]
[tex]\frac{\sqrt{5}}{3\sqrt{5}}=\frac{1}{3}=\frac{2}{6}[/tex]
[tex]\frac{1}{3}=\frac{1}{3}=\frac{1}{3}[/tex]
Since ratio of the corresponding sides are same,
Therefore, ΔPQR and ΔSTU are similar.
4/6, 5/6, 2/6 how do you put it least to greatest?
Answer:
2/6 < 4/6 < 5/6
Step-by-step explanation:
2 < 4 => 2/6 < 4/6
4 < 5 => 4/6 < 5/6
=> 2/6 < 4/6 < 5/6
Answer:
2/6, 4/6 5/6
Step-by-step explanation:
What is the slope of the line that passes through the points (1, 1) and (9, 7)? 3/4 4/5 5/4 4/3
Answer:
3/4
Step-by-step explanation:
We can use the slope of the line by using the slope formula
m = (y2-y1)/(x2-x1)
= (7-1)/ ( 9-1)
= 6/8
= 3/4
Answer: 3/4
Step-by-step explanation: To find the slope of this line, I will be showing you the graphing method.
To find the slope of the line using the graphing method,
we first set up a coordinate system.
Next, we plot our two points, (1, 1), which we label point A, and (9, 7), which we label point B, and we graph our line, as shown below.
Now, remember that the slope, or m, is equal to
the rise over run from point A to point B.
To get from point A to point B, we rise
6 units and run 8 units to the left.
So our slope, or rise over run, is 6 over 8, which reduces to 3/4.
Help Please!! I can't seem to get the answer no matter how hard I try.... But it seems so easy.. Wjhsjwskwnw
Answer:
109 cm³
Step-by-step explanation:
Let the radius of semi-circle be r, then side of the cube is 2r and the height of the solid is also 2r
The circumference of the semi-circle can be calculated as:
2r + 1/2 × (2πr) = 11Then we can find the value of r:
r(2+π)=11r= 11/(2+π)r= 11/5.14r= 2.14 cmThe volume of the combined solid is the sum of volumes of the cube and the semi-cylinder:
V= (2r)³ + 1/2×πr²×2r= 8r³ + πr³= (8+π)×r³V= (8+3.14)×2.14³ = 109.1758 cm³The volume is approx. 109 cm³A circle has a radius of 8cm use the value 3.1 for π to calculate the area of a sector of the circle if the angle at the center is 150°
Answer:
[tex]8\frac23\ cm^2[/tex]
Step-by-step explanation:
sector of the circle if the angle at the center is 150° means [tex]\frac{150^o}{360^o}[/tex] of full circle of given radius
area of a circle of given radius R is: πR²
so area of given sector:
[tex]A=\dfrac{150^o}{360^o}\cdot \pi\cdot8^2=\dfrac5{12}\cdot3.1\cdot64=82,(6)=8\frac23\ cm^2[/tex]
The area of a sector of the circle if the angle at the center is 150° is 82.67 square centimeter.
What is a circle?
A circle is a locus of a point whose distance always remains constant from a given specific point. The general equation is -
x² + y² = r² (for circle centered at origin)
Given is a circle has a radius of 8 cm.
The area of the sector subtending the angle 150° at center is -
A = (150/360) x 3.1 x 8 x 8
A = 82.67 square centimeter.
Therefore, the area of a sector of the circle if the angle at the center is 150° is 82.67 square centimeter.
To solve more questions on circles, visit the link below-
https://brainly.com/question/17006280
#SPJ5
Each CD at a music store is sold for $10. If n represents the number of CDs sold, which equation could be used to find the total number of dollars, d, the store receives from CD sales?
Answer:
10n = d
Step-by-step explanation:
We know that
Each CD is sold for 10 dollars
The music store has sold n amount of CD's
The total number of dollars 'd' depends on how many CD's were sold
The equation is: 10n = d
Hope this helps!
Answer:
D=10n
Step-by-step explanation:
Eggs come in packets of 12 and English muffins come in packets of 10. What is the least number of packages of each that can be bought to be able to make egg sandwiches with no muffins left over?
Answer:
The LCM of 12 and 10 is 60 so you would need to buy 60 / 12 = 5 packs of eggs and 60 / 10 = 6 packs of muffins.
Choose the product. -6 p3 (3 p2 + 5 p - 1) -18 p5 - 30 p4 + 6 p3 -18 p6 - 30 p3 - 6 p 18 p3 + 6 p2 - 30 p4 -18 p6 - 24 p3
Answer:
A) [tex]-18p^5 -30p^4 + 6p^3[/tex]
Step-by-step explanation:
We want to find the correct expansion of the brackets.
The expression given is:
[tex]-6p^3(3p^2 + 5p - 1)\\\\= -6* 3*p^3*p^2 + (-6*5 * p^3 * p) - (-6p^3 *1)\\\\= -18p^5 -30p^4 + 6p^3[/tex]
The correct answer is A ([tex]-18p^5 -30p^4 + 6p^3[/tex])
Answer:
A
Step-by-step explanation:
HELP ASAP The graph of a function h is shown below. Use the graph to find its average rate of change from x=-7 to x=-5. Simplify your answer as much as possible
Answer:
The average rate of change from x=-7 to x=-5 is -3
Step-by-step explanation:
In order to calculate average rate of change we would have to make the following calculation:
According to the given data we have the following:
x=-7 so, f(-7) is to be calculated in the graph y
x=-5 so, f(-5) is to be calculated in the graph y
Therefore, average rate of change=f(-5)-f(-7)/-5-(-7)
average rate of change=3-9/2
average rate of change=-6/2
average rate of change=-3
The average rate of change from x=-7 to x=-5 is -3
The average rate of change of a function is the unit change of the function.
The average rate of change from x = -7 to x = -5 is -3
The average rate of change is calculated as:
[tex]\mathbf{f'(x) = \frac{f(b) - f(a)}{b - a}}[/tex]
The interval is given as: x = -7 to x = -5.
This means that:
a = -5 and b = -7
So, we have:
[tex]\mathbf{f'(x) = \frac{f(-7) - f(-5)}{-7 - -5}}[/tex]
This gives
[tex]\mathbf{f'(x) = \frac{f(-7) - f(-5)}{-2}}[/tex]
From the graph
f(-7) = 9 and f(-5) = 3.
So, we have:
[tex]\mathbf{f'(x) = \frac{9 - 3}{-2}}[/tex]
Subtract
[tex]\mathbf{f'(x) = \frac{6}{-2}}[/tex]
Divide
[tex]\mathbf{f'(x) = -3}[/tex]
Hence, the average rate of change from x = -7 to x = -5 is -3
Read more about average rate of change at:
https://brainly.com/question/23715190
In △ABC, m∠A=45°, c=17, and m∠B=25°. Find a to the nearest tenth.
Answer:
12.8
Step-by-step explanation:
you have to use the law of sines to calculate it. the measure of angle c is 110 and you have to do
Sin(110)x=17sin(45)
and then it turns into 17sin(45)/sin(110)
then put it into desmos with it being in degrees mode
Please help me with this question!!!
Answer:
tan (40°) = [tex]\frac{x}{100}[/tex]
Step-by-step explanation:
tan [tex]\theta[/tex] = [tex]\frac{opposite}{adjacent}[/tex]
The opposite side to angle B is x. The adjacent side to angle B is 100 ft.
tan (40°) = [tex]\frac{x}{100}[/tex]
Answer:
tan 40° = x/100
Step-by-step explanation:
As, AC is perpendicular and BC is the with respect to angle ABC. So, tan 40° will be use to determine the distance in feet from point C to point A.
tan ABC = perpendicular/base
tan 40° = AC/BC
tan 40° = x/100 feet
12x+40=15x+25 solve for x
Answer:
5 = x
Step-by-step explanation:
12x+40=15x+25
Subtract 12x from each side
12x-12x+40=15x-12x+25
40 = 3x +25
Subtract 25 from each side
40-25 = 3x+25-25
15 =3x
Divide by 3
15/3 =3x/3
5 = x
Answer:
x=5
Step-by-step explanation:
12x+40=15x+25
12x=15x-15
12x=15x-15-15x
-3x=-15
-3x=-15 divide both by -3
answer is 5
I NEED HELP WITH THIS! I need to pass...
Answer: A) The log parent function has negative values in the range.
Step-by-step explanation:
The domain of y = ln (x) is D: x > 0
The domain of y = [tex]\sqrtx[/tex][tex]\sqrt x[/tex] is D: x ≥ 0
The range of y = ln (x) is: R: -∞ < y < ∞
So the only valid option is A because the range of a log function contains negative y-values when 0 < x < 1.
Alice is thinking of a number n that she wants her sister to guess. Her first clue is that two less than six times her number is between ten and thirty-four (inclusive). Write a compound inequality that shows the range of numbers that Alice might be thinking of.
Answer:
10 < 6n -2 ≤ 34
n= {3, 4, 5, 6}
Step-by-step explanation:
number
⇒ n
two less than six times the number
⇒ 6n -2
it is between ten and thirty-four (inclusive)
⇒ 10 < 6n -2 ≤ 34
we can solve it as:
10 < 6n -2 ≤ 34 ⇒ add 2 to all sides12 < 6n ≤ 36 ⇒ divide by 6 all sides2 < n ≤ 6n= (2, 6]or
n= {3, 4, 5, 6}Answer:
[2,6]
Step-by-step explanation:
Translate to an inequality. Since two less than six times her number is at least ten and at most thirty-four, we have the following inequality.
10≤6n−2≤34
Solve the compound inequality by isolating the variable in the center.
10≤6n−2≤3412≤6n≤362≤n≤6
Finally, write your answer in interval notation. The inequality includes all values between 2 and 6 including the end values, therefore the final answer is:
[2,6].
This is Algebra 1 functions and I'm struggling with this one function-
-1•f(-9)+7•g(6)=_____
Answer:
38
Step-by-step explanation:
f(-9) is the value of f(x) when x = -9. Therefore, f(-9) = 4 from the graph. Doing the same with g(6), we can see that g(6) = 6. Our expression becomes:
-1 * 4 + 7 * 6
= -4 + 42
= 38
3x (4x^2 + 4xy + 5y - 6) = ?
Answer:
12x^3 + 12x^2y + 15xy - 18x
Step-by-step explanation:
I simply expanded the equation by multiplying everything in the parentheses by 3x.
Answer:
12x^3+12x^2y+15xy-18x
Step-by-step explanation:
3x (4x^2 + 4xy + 5y - 6)
Distribute
3x *4x^2 +3x* 4xy + 3x*5y -3x* 6
12x^3+12x^2y+15xy-18x
44. The length of a road is 380 m, correct to the nearest 10 m. Maria runs along this road at an average speed of 3.9 m/s. This speed is correct to 1 decimal place. Calculate the greatest possible time taken by Maria.
Answer:
The greatest possible time taken by Maria is 97.4 seconds.
Step-by-step explanation:
The greatest possible time taken by Maria occurs when she moves at constant rate and is equal to the length of the road divided by the length of the road. That is to say:
[tex]t = \frac{\Delta s}{v}[/tex]
Where:
[tex]\Delta s[/tex] - Length of the road, measured in meters.
[tex]v[/tex] - Average speed, measured in meters per second.
Given that [tex]\Delta s = 380\,m[/tex] and [tex]v = 3.9\,\frac{m}{s}[/tex], the greatest possible time is:
[tex]t = \frac{380\,m}{3.9\,\frac{m}{s} }[/tex]
[tex]t = 97.4\,s[/tex]
The greatest possible time taken by Maria is 97.4 seconds.
Enter the correct answer in the box. What is the standard form of function
Answer:
f(x) = 4x² + 48x + 149
Step-by-step explanation:
Given
f(x) = 4(x + 6)² + 5 ← expand (x + 6)² using FOIL
= 4(x² + 12x + 36) + 5 ← distribute parenthesis by 4
= 4x² + 48x + 144 + 5 ← collect like terms
= 4x² + 48x + 149 ← in standard form
Answer:
[tex]f(x)=4x^{2} +149[/tex]
Step-by-step explanation:
Start off by writing the equation out as it is given:
[tex]f(x)=4(x+6)^{2} +5[/tex]
Then, get handle to exponent and distribution of the 4 outside the parenthesis:
[tex]f(x)=4(x^{2} +36)+5\\f(x)=4x^{2} +144+5[/tex]
Finally, combine any like terms:
[tex]f(x)=4x^{2} +149[/tex]
If xy = 4, which is equivalent to y(x-4)(x+2)
Answer:
4x - 8 - 32/xStep-by-step explanation:
From the expression xy = 4, y = 4/x
Substituting y = 4/x into the expression y(x-4)(x+2) and expanding;
= y(x-4)(x+2)
= 4/x(x-4)(x+2)
On expansion;
= (4-16/x)(x+2)
= 4x+4(2)-(16/x)x-(16/x)2
= 4x+8-16-32/x
= 4x-8-32/x
The equivalent expression is 4x - 8 - 32/x
Natasha, Mark and Henry share some sweets in the ratio 7:3:2. Natasha gets 75 more sweets than Henry. How many sweets are there altogether?
Answer:
180
Step-by-step explanation:
Given the ratio = 7 : 3 : 2 = 7x : 3x : 2x ( x is a multiplier ), then
7x = 2x + 75 ( Natasha gets 75 more sweets than Henry )
Subtract 2x from both sides
5x = 75 ( divide both sides by 5 )
x = 15
Thus
total number of sweets = 7x + 3x + 2x = 12x = 12 × 15 = 180
June is working on an addition problem and starts with 17,985. After she adds, she still has 17,985. Which property of addition did June use? How do you know?
Answer:
identity element property
Step-by-step explanation:
June's value did not change, so the value she added was the additive identity element: 0.
She made use of the identity element property of addition, which says that adding the identity element does not change the value.
using appropriate properties find
-5/6 x 5/7 - 1/2 x 4/5 - 1/12 x 5/7
part of the chapter rational numbers pls answer quickly as i need it today thanks.
tia
Answer:
I believe its -68 but i could be wrong, because that's not a rational number, but it could also be -4080/60
What is the domain of the function graphed below
Answer:
-∞ < x< -∞
Step-by-step explanation:
The domain is the values that x takes
The values that x can take is all real values of x
-∞ < x< -∞
Which of the following graphs represents a one-to-one function?
Answer:
Step-by-step explanation:
since the rest of function is not showing, attached are the images of function and one to one
Instructions: Find the missing side. Round your answer to the nearest
tenth.
30
х
22°
Answer:
x=74.3
Step-by-step explanation:
tan 22= opp/adj
tan 22=30/x
x=30/tan 22
x=30/0.40402=74.3 unit
Answer:
x = 74.3 to the nearest tenthStep-by-step explanation:
In order to solve for x we use tan
tan ∅ = opposite / adjacent
From the question
x is the adjacent
30 is the opposite
So we have
tan 22 = 30/x
x = 30/tan 22
x = 74.25260
x = 74.3 to the nearest tenthHope this helps you