Answer:
24 pg per hour
Step-by-step explanation:
Divide 312 by 13, and the result will be 24. Hope it helps!
Answer:
24
Step-by-step explanation:
The equation of a circle is (x−2)2+(y+6)2=100. Find the equation of a circle that is externally tangent to the given circle and has a center at (18, −6).
Answer:
(x-18)^2+(y+6)^=36
Step-by-step explanation:
circle basic equation is (x-h)^2+(y-k)^2=r^2
center is (18,-6) it is also externally tangent
so
(x-18)^2+(y+6)^2=36 answer
The equation of a circle that is externally tangent to the given circle and has a center at (18, −6) is [tex](x-18)^2+(y+6)^=36[/tex]
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length. Let the center of the considered circle be at (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
Given that the circle basic equation is [tex](x-2)^2+(y+6)^2=100[/tex]
The center is (18,-6) it is also externally tangent;
Therefore,
[tex](x-18)^2+(y+6)^2=36[/tex]
Therefore, the equation of a circle that is externally tangent to the circle is; [tex](x-18)^2+(y+6)^2=36[/tex]
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A architect made a scale drawing of a house to be built. The scale is 2 inches to 3 feet. The house in the drawing is 24 inches tall. How tall is the actual house?
Answer:
36 feet.
Step-by-step explanation:
2 goes into 24 12 times, 12 times 3 is 36 therefore the actual house is 36 feet tall.
1. How many numbers less than 10,000 are there which are divisible
by 21, 35 and 63?
Answer:
31
Step-by-step explanation:
To solve this problem, we must find the lowest common multiple of 21, 35 and 63
Find the prime factors of the number;
Prime factors of 21 = 3 x 7
35 = 3 x 5
63 = 3 x 3 x 7
The lcm = 3 x 3 x 5 x 7 = 315
The numbers between 1 and 10, 000 divided by these three numbers;
First number = 315
Last number = 9765
Now the total number:
= [tex]\frac{first number - last number }{315} + 1[/tex]
= [tex]\frac{9765 - 315}{315}[/tex] + 1
= 30 + 1
= 31
A random sample of 17 hotels in Boston had an average nightly room rate of $165.40 with a sample standard deviation of $21.70. The critical value for a 98% confidence interval around this sample mean is ________.
Answer:
153.158 ; 177.642
Step-by-step explanation:
Given the following:
Sample mean (m) = 165.40
Sample standard deviation (s) = 21.70
Sample size (n) = 17
α = 98%
Confidence interval = m ± z(SE)
z at 98% = 2.326
SE = s/√n
SE = 21.70/√17 = 5.2630230
Hence,
Confidence interval = 165.40 ± 2.326(5.2630230)
165.40 - 12.241791498 OR 165.40 + 12.241791498
153.158 ; 177.642
The angles shown above form a linear pair. Show all of your work for full credit.
A. What is the angle relationship between these two angles?
B. Set up an equation and solve for n.
C. Substitute your values into the equation and find the measurements of both angles.
Answer:
A. [tex] (4n + 22) + (8n - 10) = 180 [/tex]
B. [tex] n = 14 [/tex]
C. 78° and 102°
Step-by-step explanation:
A. The relationship between the two angles that are a linear pair is: their sum gives us 180°. That is:
[tex] (4n + 22) + (8n - 10) = 180 [/tex]
B. [tex] (4n + 22) + (8n - 10) = 180 [/tex]
Solve for n.
[tex] 4n + 22 + 8n - 10 = 180 [/tex]
Collect like terms
[tex] 12n + 12 = 180 [/tex]
Subtract 12 from both sides
[tex] 12n + 12 - 12 = 180 - 12 [/tex]
[tex] 12n = 168 [/tex]
Divide both sides by 12
[tex] \frac{12n}{12} = \frac{168}{12} [/tex]
[tex] n = 14 [/tex]
C. Plug in the value of 14 to get the measurement of both angles
[tex] (4n + 22) = 4(14) + 22 = 56 + 22 = 78 [/tex]
[tex] (8n - 10) = 8(14) - 10 = 112 - 10 = 102 [/tex]
Find the midpoint of the line segment joining the points R(3,3) and S(-2,6).
Answer: 2,9
(3,3) & (-2,6) midpoints
Answer:
(0.5,4.5)
Step-by-step explanation:
Use the midpoint formula to find the answer: ((x1+x2/2),(y1+y2/2))
((3-2/2),(3+6/2))
((1/2),(9/2))
(0.5,4.5)
An ordered pair that satisfies all the equations in a linear system of equations is called a(n) __________ of the linear system.
Answer:solution
Step-by-step explanation:
An ordered pair that satisfies all the equations in a linear system of equations is called a: solution of the linear system.
A linear function is a function that has a positive relationship between its variables.
Hence, an increase in one variable (input variable) causes an increase in the other variable (output variable) because the variables are directly proportional.
Mathematically, the graph of a linear function is a straight-line and its slope is always constant.
On a related note, a linear system of equation is an algebraic equation of the first order with two variables and each of its term having an exponent of one.
Generally, a system of linear equations in two variables must have at least two solution.
In conclusion, a solution of the linear system is an ordered pair that satisfies all the equations in a linear system of equations.
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Simplify powers of i.
ASSIGNMENT
Simplify each of the following powers of i.
I^32
Answer:
i^15=-i
i^32=1
1^99=-i
i^22=-1
hope this helps :)
im sorry for the late answer, i put all the answers incase some one needs them, have a nice day!
Step-by-step explanation:
Answer: The answer is "1".
Step-by-step explanation:
Correct on edgen.
On a family road trip, Mr. Peters travels 130
miles in 2 hours. At this rate, how many miles
will he travel in 7 hours?
Find mo 8 5 m n o
Mo=
Answer:
MO is 13 units
Step-by-step explanation:
If point lies on a segment, then this point divides the segment into two parts, the sum of their lengths equals the length of the segment
∵ Point N ∈ segment MO
→ That means point N divide segments MO to two parts MN and NO
∴ Point N divides segment MO into two parts MN and NO
→ That mans the length of segment MO equals to the sum of
lengths of MN and NO
∴ MO = MN + NO
∵ MN = 8 units
∵ NO = 5 units
∴ MO = 8 + 5
∴ MO = 13 units
Find the area, in square units, of ABC plotted below.
A(0,7)
B(7,-2)
D(2, -3)
C(-3,-4)
The area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.
What is the distance between two points ( p,q) and (x,y)?The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
The coordinates of the points A, B, C, and D in the given figure are:
A(0, 7)B( 7,-2)C(-3, -4)D(2, -3)Finding the length of the line segments AD and CB, which will be the distance between A and D, and C and B respectively.
Thus, we get:
Length of line segment AD = |AD| = distance between A and D = [tex]\sqrt{(0-7)^2 + (7-(-2))^2} = \sqrt{7^2 + 9^2} = \sqrt{130} \: \rm units.[/tex]
Similarly, we get:
|CB| = [tex]\sqrt{(-3-7)^2 + (-4-(-2))^2} = \sqrt{10^2 + 6^2} = \sqrt{136} \: \rm units.[/tex]
If we take CB as the base of ABC triangle, then as AD is perpendicular on CB, and touches the peak of the triangle ABC from its base, so AD is height of the triangle.
Thus, as we know know that:
Height's measurement of ABC = |AD|= [tex]\sqrt{130} \: \rm units[/tex]Base length of ABC = |BC| = [tex]\sqrt{136} \: \rm units[/tex]Thus, the area of the triangle ABC is:
[tex]A = \dfrac{base \times height}{2} = \dfrac{\sqrt{130} \times \sqrt{136}}{2} \approx 66.5 \: \rm unit^2[/tex]
Thus, the area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.
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Can someone please help me, ty!! (Will mark brainliest)
Answer:
im gonna say 4 if im wrong its my fault
Which of the following lists the numbers shown below in order from least to
greatest? Please hurry
15 men can dig a ditch in 10 days, how many day
Will 10men take working at the same rate
Answer:
If 10 men dig a ditch in 12 days .
Total man-days required to dig the ditch
= 10 men × 12 days
= 120 man-days
how long would 15 men take to dig it?
No of days required to finish the job by 15 men
= 120 men-days / 15 men
= 8 days
Answer: 8 days will be required to finish the job by 15 men
Step-by-step explanation:
Hope this helps u
Crown me as brainliest:)
Which number line shows 1/3 and its opposite
some wanna look at this and help me ?
Shelley and her friend are working together on a group homework assignment. Shelley has
completed 2/12 of the problems and her friend has completed another 9/12 of them.
Together, what fraction of the problems have they completed so far?
Answer: The answer is 11/12 problems
Step-by-step explanation:
You add 2/12 + 9/12 which gives you a result of 11/12
Snail moves 6 inches in 120 minutes. What was average speed of snail in inches per minute
Answer:
.2 inches a min.
Step-by-step explanation:
Answer:
0.05
Step-by-step explanation:
6 divided by 120 = 0.05
Hope this helps☺️
A survey showed that 82% of kids play video games at home. What fraction of kids play video games at home?
Answer:
8.2/10
Step-by-step explanation:
Answer:
42/50
Step-by-step explanation:
2 points 5. What property is used to get from Step 1 to Step 2? * Step 1 : 28x + 10 = 66 Step 2: 28x = 56
Answer: subtraction property of equality
Step-by-step explanation:
Find mWYZ as well Find mACB please help with both. Thank you every much! Triangles, Need help, right now I’m does adding more stuff so it can stop saying 20 characters.
Answer:
m<WYZ = 23°
m<ACB = 87°
Step-by-step explanation:
Problem 1: Find WYZ
Given,
m<WVX = (3x - 7)°
m<VYZ = (16x - 3)°
∆WYZ ~ ∆WVX, therefore:
m<WYZ = m<WVX (corresponding angles of similar triangles are congruent)
m<WYZ = (3x - 7)° (substitution)
Create an equation to find the value of x.
m<WYZ + m<VYZ = 180° (linear pair)
(3x -7)° + (16x - 3)° = 180° (substitution)
Solve for x
3x - 7 + 16x - 3 = 180
Add like terms
19x - 10 = 180
Add 10 to both sides
19x - 10 + 10 = 180 + 10
19x = 190
Divide both sides by 19
19x/19 = 190/19
x = 10
m<WYZ = (3x - 7)
Substitute x = 10
m<WYZ = 3(10) - 7 = 30 - 7
m<WYZ = 23°
Problem 2: Find m<ACB
Given,
m<A = 62°
m<AED = (11x - 2)°
m<B = (6x + 13)°
∆ADE ~ ∆ACB, therefore:
m<AED = m<B (corresponding angles of similar ∆s are congruent)
(11x - 2)° = (6x + 13)°
Solve for x
11x - 2 = 6x + 13
Collect like terms
11x - 6x = 2 + 13
5x = 15
Divide both sides by 5
5x/5 = 15/5
x = 3
m<ACB + m<B + m<A = 180° (sum of ∆)
m<ACB + (6x + 13) + 62° = 180° (substitution)
Plug in the value of x and solve
m<ACB + (6(3) + 13) + 62° = 180°
m<ACB + (6(3) + 13) + 62° = 180°
m<ACB + (18 + 13) + 62° = 180°
m<ACB + 31° + 62° = 180°
m<ACB + 93° = 180°
Subtract 93 from both sides
m<ACB = 180° - 93°
m<ACB = 87°
The large Ferris wheel makes a revolution in 60 seconds. The small Ferris wheel makes one revolution in 20 seconds. How many seconds will pass before Jeremy and Deborah are both at the bottom again?
Answer:
120 seconds
Step-by-step explanation:
60 20
120 40
180 60
80
100
120
How many solutions does this equation have
2x + 1 = 2x – 1
Which statement is true
Answer:
b
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
How many liters are in 120 quarts?
1 qt ≈ 0.95 L
Answer:
114 liters
Step-by-step explanation:
120 x 0.95 = 114
Un comerciante tiene en cartera una letra de 14000 con vencimiento a 2 años y le somete a un descuento bancario 1 año y 8 meses antes de su vencimiento a una taza de 14%anual con capitalización trimestral ¿cuanto recibira el propetario de la letra ?
Answer:
dud
Step-by-step explanation:
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Determine wheather the given lines are parallel or not. Write the reasons .
Answer:
yes it is parallel because the alternate interior angles are equal
An ice sculpture is melting at a constant rate. Its weight changes -1 4/5 pounds every hour. What is the total change in weight of the sculpture after 3 1/2 hours
Answer:it said i was wrong and the correct answer should have been -6 3/10
Step-by-step explanation:
The total change in weight of the sculpture after [tex]3\frac{1}{2}[/tex] hours is, [tex]\bold{-6\frac{3}{10}}[/tex] pounds.
What is rate of change of function?"The rate of change function is the rate at which one quantity is changing with respect to another quantity."
Given: The weight of an ice sculpture changes [tex]-1\frac{4}{5}[/tex] pounds every hour.
We need to find the total change in weight of the sculpture after [tex]3\frac{1}{2}[/tex] hours.
i.e., the rate of change of an ice sculpture per hour is -1 4/5 pound.
Total change in weight of the sculpture after t hours
= change in the weight of the sculpture per hour × t
= [tex](-1\frac{4}{5}) \times (3\frac{1}{2} )[/tex]
= [tex](-\frac{9}{5} ) \times (\frac{7}{2} )[/tex]
= [tex]-\frac{63}{10}[/tex]
= [tex]\bold{-6\frac{3}{10}}[/tex] pounds
Therefore, the total change in weight of the sculpture after 3 1/2 hours is, [tex]\bold{-6\frac{3}{10}}[/tex] pounds.
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Let z = z = 8 (cosine (StartFraction pi Over 3 EndFraction) + I sine (StartFraction pi Over 3 EndFraction) ) and w = 3 (cosine (StartFraction pi Over 6 EndFraction) + I sine (StartFraction pi Over 6 EndFraction) ).
Which statement describes the geometric construction of the product zw on the complex plane?
Stretch z by a factor of 3 and rotate StartFraction pi Over 2 EndFraction radians counterclockwise.
Stretch z by a factor of 3 and rotate StartFraction pi Over 6 EndFraction radians counterclockwise.
Stretch z by a factor of 24 and rotate StartFraction pi Over 2 EndFraction radians counterclockwise.
Stretch z by a factor of 24 and rotate StartFraction pi Over 6 EndFraction radians counterclockwise.
Answer:
c on edge
Step-by-step explanation:
fr
Answer:
(B) Stretch z by a factor of 3 and rotate π/6 radians counterclockwise.
Step-by-step explanation:
edge:2022 Happy new year!
* Which answer choice describes y = -3x² +7x - 2
Answer:
y = -[tex]3^{2}[/tex] + 7x - 2
Step-by-step explanation:
-9-2= -11
y = -11 +7x
+11
y+11 = 7x
/7
1.57142857143= x