Answer:
A) Measure of an interior angle of polygon = 150°
B) No of sides = 12
C) Sum of all interior angles = 1800°
Step-by-step explanation:
Measure of interior angle of polygon = 180°- measure of exterior angle of polygon
= 180°-30°
= 150°
B.
[tex]No.\: of \: sides = \frac{360\degree}{30\degree} = 12\\\\C.\\Sum\:of\: all \:interior\: angles \\= (n-2)\times 180\degree\\= (12-2) \times 180\degree\\= 10\times 180\degree\\= 1800\degree[/tex]
How many kilograms are equivalent to 5 pounds
Answer:
approximately 2.26796
Step-by-step explanation:
this is bc 1kg is 2.205 lb. so 5 divided by 2.205
HELP PLEASEE,
What is the value of X in the triangle?
Answer:
this is the answer
hope it help you
PLZ HELP 20 PTS
Match each value to the correct entry in matrix AB.
Answer:
Step-by-step explanation:
The matrix AB is:
[tex]AB=\left[\begin{array}{ccc}50&44&-43\\31&16&7\\37&119&-94\end{array}\right][/tex]
-----------------------------------
This question is solved using multiplication of matrices.
To do this, we multiply the lines of the first matrix by the columns of the second.
-----------------------------------
In this question:
The first matrix is:
[tex]A =\left[\begin{array}{ccc}5&7&2\\4&-1&3\\6&8&-5\end{array}\right][/tex]
The second matrix is:
[tex]B = \left[\begin{array}{ccc}6&11&-4\\2&1&-5\\3&-9&6\end{array}\right][/tex]
------------------------------------
First line:
The first element is the multiplication of the first line of A by the first column of B. So: [tex]AB_{1,1} = 5\times6 + 7\times2 + 2\times3 = 50[/tex]The second element is the multiplication of the first line of A by the second column of B. So:[tex]AB_{1,2} = 5\times11 + 7\times1 + 2\times -9 = 44[/tex]The third element is the multiplication of the first line of A by the third column of B. So:[tex]AB_{1,3} = 5\times -4 + 7\times-5 + 2\times6 = -43[/tex]------------------------------------
Second line:
Second line of A by each column of B, so:
[tex]A_{2,1} = 4\times6 - 1\times 2 + 3\times3 = 31[/tex]
[tex]A_{2,2} = 4\times11 - 1\times 1 + 3\times (-9) = 16[/tex]
[tex]A_{2,3} = 4\times(-4) - 1\times (-5) + 3\times 6 = 7[/tex]
------------------------------------
Third line:
Third line of A by each column of B, so:
[tex]A_{3,1} = 6\times6 + 8\times 2 - 5\times3 = 37[/tex]
[tex]A_{3,2} = 6\times11 + 8\times 1 - 5\times (-9) = 119[/tex]
[tex]A_{3,3} = 6\times(-4) + 8\times (-5) - 5\times 6 = -94[/tex]
------------------------------------
Thus, the matrix is:
[tex]AB=\left[\begin{array}{ccc}50&44&-43\\31&16&7\\37&119&-94\end{array}\right][/tex]
A similar question is found at https://brainly.com/question/12088021
Gloria has a $125,000 home financed with a 30-year loan at 6%. If she wished to pay one extra monthly payment each year, how many months will t take her to pay off her mortgage?
Answer:
295 months
Step-by-step explanation:
You want to know the number of months required to pay off a 30-year loan of $125000 at 6% if an extra payment is made each year.
Number of paymentsThe number of payments required will depend on the actual payment schedule, and the way the lender computes interest due.
The attached calculation shows it takes 319 payments. The assumption is that they are evenly spaced at 13 payments per year (one every 4 weeks), and the interest is computed on the interval between payments.
Number of monthsIf 13 payments are made per year, the number of years it takes to pay off the loan will be ...
319/13 = 24 7/13
24 years and 7 months is 295 months.
__
Additional comment
If the first payment is made on Jan 28, and payments are made every 4 weeks, there will be 2 payments in Dec. That is, except for the last month of the year, there will be 1 payment per month.
If regular monthly payments are made, but one of the payments is doubled, the result may be different.
Given the function
Calculate the following values
Answer: 1. F(-1)= 8(-1)-8
2. F(0)= 8(0)-8
3 F(2)= 8(2)-16
Step-by-step explanation:
i think i got some wrong i haven't these math [problem in a long time
Help me I’m begging you please
Answer:
Air pressure = [tex]4.6\frac{\text{lb}}{\text{in}^{2} }[/tex]
Step-by-step explanation:
Relationship between air pressure and altitude can be modeled by,
P = 14.7e[tex]14.7e^{-0.00004h}[/tex]
Where P = Air pressure
and h = altitude above the sea level
Air pressure on Mount Everest having altitude = 29028 feet abve the sea level will be,
P = [tex]14.7e^{-0.00004\times 29028}[/tex]
= [tex]14.7\times e^{-1.16112}[/tex]
= 4.603
≈ 4.6 [tex]\frac{\text{lb}}{\text{in}^{2} }[/tex]
Therefore, air pressure on Mount Everest = 4.6 [tex]\frac{\text{lb}}{\text{in}^{2} }[/tex]
Two numbers are in the ratio 7:5 . When 10 is subtracted from each term , the ratio becomes 3:2 .Find the numbers.
Answer:
Denote the two numbers: a and b
Two numbers are in the ratio 7:5
=> a/b = 7/5
=> a = (7/5) x b (1)
When 10 is subtracted from each term , the ratio becomes 3:2
=> (a - 10)/(b - 10) = 3/2
=> 2 x (a - 10) = 3 x ( b - 10)
=> 3 x b - 2 x a = 10
From (1) => 3 x b - 2 x (7/5) x b = 10
=> (1/5) x b = 10
=> b = 50
=> a = (7/5) x b = (7/5) x 50 = 70
Hope this helps!
:)
Ella has $50,000 is a saving account. The savings collect interest at an 8% annual rate that compounds every year. How much money will be in Ellas account after 5 years?
Answer:
210000$
Step-by-step explanation:
1st we find the SI which will be P*R*T/100=50000*8*5/100
=32000
32000 will be added per year
32000*5=160000 for 5 years
160000+50000=210000$
Type the correct answer in the box
6 inches across
12 inches up and down
A machine part consists of a half sphere and a cylinder, as shown in the figure. The total volume of the part is ____ pie cubic inches.
Answer:
126 pie cubic inches.
Step-by-step explanation:
i dont have one^ but i completed the test with a 100%
What is the hydrogen ion concentration
of orange juice that has a pH of 1?
0.1 mole per liter
0.01 mole per liter
0.0001 mole per liter
0.00001 mole per liter
Answer:
0.1 mole per liter
Step-by-step explanation:
i got it right
Find the simple interest on 500 at 6% for 1 year
Answer:
Interest = $30
Step-by-step explanation:
Formula:
I = prt or I = p · r · t
So:
I = p r t
I = ($500)(.06)(1) <--- Just multiply all of these numbers and you get the final answer of:
Interest = $30.00 or just $30
Zhen is an audiobook narrator. The table gives some completed audio lengths and the amount of time Zhen spends researching, recording, and editing the audiobook.
Completed length of audiobook (hours) Working time (hours)
1 6 1/2
3 1/2 22 3/4
7 45 1/2
10 65
What does 6 1/2 mean in this sitiuation?
a. Zhen 6 1/2 hours working for every hour of the completed audiobook.
b. Zhen completes 6 1/2 audiobooks in an hour.
c. Zhen spends 6 1/2 hours working per audiobook.
Answer:
c. Zhen spends 6 1/2 hours working per audiobook.
Step-by-step explanation:
The table below gives some completed audio lengths and the amount of time Zhen spends on the audiobook.
[tex]\left|\begin{array}{c|c}$Completed length of audiobook (hours) &$Working time (hours)\\---------&--------\\1&6\frac{1}{2} \\\\3\frac{1}{2}&22\frac{3}{4}\\\\7&45\frac{1}{2}\\\\10&65\end{array}\right|[/tex]
We observe that from the table, in 6.5 hours, Zhen completes 1 audiobook.
In fact, across the table:
[tex]\dfrac{6\frac{1}{2}}{1}=\dfrac{22\frac{3}{4}}{3\frac{1}{2}}=\dfrac{65}{10}=6\dfrac{1}{2} $ hour per audiobook[/tex]
Therefore, in this situation, 6.5 hours mean that Zhen spends 6.5 hours working per audiobook.
The correct option is C.
A car travels 100 meters in 5 seconds. What is the speed of the car in miles per hour?
speed = distance over time; 1 mile = 1609 meters
Answer: 5,000 you'll welcome
Step-by-step explanation:
complete the table of values fory=2x^2+x
Complete question:
y = 2x² + 2x - 3
x = -2 -1 0 1 2
Answer:
Complete table of values
x: -2 -1 0 1 2
y: 1 -3 -3 1 9
Step-by-step explanation:
Given;
y = 2x² + 2x - 3
To complete the table of values of the equation above, we substitute the value of x into the given equation and solve for y.
when, x = -2
y = 2(-2)² + 2(-2) - 3
y = 8 - 4 - 3
y = 1
when x = -1
y = 2(-1)² + 2(-1) - 3
y = 2 - 2 - 3
y = -3
when x = 0
y = 2(0)² + 2(0) - 3
y = 0 - 0 - 3
y = -3
when x = 1
y = 2(1)² + 2(1) - 3
y = 2 + 2 - 3
y = 1
when x = 2
y = 2(2)² + 2(2) - 3
y = 8 + 4 - 3
y = 9
Complete table
x: -2 -1 0 1 2
y: 1 -3 -3 1 9
For a right triangle, what happens to the value of sine as the angle increases?
Answer:
In a right triangle, as the angle increases, the value of the sine increases.
Step-by-step explanation:
Think of the unit circle, a circle with radius 1 unit centered at the origin which is the point with coordinates (0, 0). Draw a radius of the circle from the center, to point (1, 0) on the positive x-axis. The angle formed by this radius and the positive x-axis is 0 degrees. This is an angle in standard position. The endpoint of the radius on the circle has a y-coordinate. The y-coordinate is the sine of the angle. As you choose points on the circle going up from the positive x-axis, the angle formed by the radius connected to the point on the circle and the positive x-axis increases in measure until it coincides with the positive y-axis, where it has a measure of 90 degrees. The sine of the angle is always the y-coordinate of the point on the circle. As the angle increases from 0 to 90 degrees, the y-coordinate increases from 0 to 1. The acute angles of a right triangle can have measures of only between 0 and 90 degrees.
Answer: In a right triangle, as the angle increases, the value of the sine increases.
CAN SOMEONE PLZ HELP ME
Answer:
the first one
4*10^12
Step-by-step explanation:
Answer:
4000000000
Step-by-step explanation:
(600000000) / (0.00015)
4000000000
4*10^12
What is the perimeter of the figure?
Answer: 48
Step-by-step explanation: Tienes q sumar lo que suman todos los lados.
15×2=30
9×2=18
30+18=48
how to simplify y- 3/3 +12
Answer:
11+y
Step-by-step explanation:
3/3 evaluates to 1
Y-3/3 evaluates to y-1
So the answer is y-1
Solve using synthetic division.
(x2 + 3) ÷ (x − 1)
Answer:
2x+3 / x = 1
Step-by-step explanation:
What is 84/100 simplifyed
Answer:
21/25
Step-by-step explanation:
84/100
Divide the top and bottom by 4
84/4 = 21
100/4 = 25
84/100 = 21/25
Answer:
21/25
Step-by-step explanation:
84/100 divided by 2/2=
42/50 divided by 2/2=
21/25
A fertilizer covers 2 3 square foot in 1 4 hour. The unit rate is square feet per hour.
23/14=1.6 square feet per hour
Joshua has 30 trading cards. He adds 20 cards to his collection each week.
Mackenzie has 45 trading cards and adds 20 cards to her collection each week.
How many cards will each person have after 6 weeks?
Answer:
Joshua will have 150 cards.
Mackenzie will have 165 cards.
(4,3.5,5,5.5,4,2)
What is the mean of City A?
a.)4
b.)5
c.)8
d.)12
Answer: 4
Order the Numbers
Before: 4,3.5,5,5.5,4,2
After: 2,3.5,4,4,5,5.5
Add
2+3.5+4+4+5+5.5=24
Divide
24÷6=4
Can you please help me with this question please help and i will give you a Brainiest
Answer:
Cans for food drive
Step-by-step explanation:
Answer:
Cans for food drive
Step-by-step explanation:
The header should encapsulate all aspects of the table.
Cans of food are brought by the teachers to be donated to the food drive. Hence the answer should be cans for food drive.
Cans recycled are out of context as the cans of food are for donation as seen in the table, not for recycling.
Favourite food and favourite teacher cannot be measured by the data provided which is which teacher bringing how many cans of food for donation. Hence, these 2 are not the answer as well.
To mail a letter first class, the us postal service charges $0.34 for the first ounce and $0.21 for each additional ounce. What will be the weight of a letter costing 5.76?
Answer:
25.599
I think
Step-by-step explanation:
if its right can u please give me the brainilest
Please help with this!!
Answer:
200
Step-by-step explanation:
As you can see the line marks and meets up with 200 as it marks with 60
What is the area of the shaded region
Answer:
A≈28.27
Step-by-step explanation:
Solved for area
Shape: circle
Radius: 3cm
Formula: A=πr2
Answer: A≈28.27
Hope this helps.
Kylie sent a chain letter to her friends, asking them to forward the letter to more friends. The relationship between the elapsed time t tt, in hours, since Kylie sent the letter, and the number of people, P ( t ) P(t)P, left parenthesis, t, right parenthesis, who receive the email is modeled by the following function: P(t)=(1.09)6t+25.5 Complete the following sentence about the hourly percent change in the number of people who receive the email. Round your answer to the nearest percent.
Answer:
68%
Step-by-step explanation:
I just did it on Khan Academy!
I hope this helps! ;)
Answer:
68% in addition to
Step-by-step explanation:
Khan Academy
Find the slope of a line parallel to each given line
Answer:
x intercept = 1
y intercept = - 5
slope = -5
Step-by-step explanation:
m = y2 - y1 / x2 - x1
m = (-5 - 0)/ (1 - 0)
m = -5
in your sock drawer, you have 12 blue socks and 12 yellow socks. It is dark in the morning when you were getting dressed, and you can’t see the color of the socks. What is the probability of randomly picking a yellow sock?
A.) 1/23
B.) 1/2
C.) 1/12
D.) 1/11
E.) 1/24
Answer:
1/2
Step-by-step explanation:
There are 12+12 = 24 socks in the drawer
P(yellow) = number of yellow socks/ total socks
= 12/24
=1/2