Answer:
The area of the pentagon is 52.5 in²
Step-by-step explanation:
The area of a regular pentagon is given by:
area = (5*l*a)/2
Where l is the length of each side and a is the length of the apothem. Applying the data from the problem we have:
area = (5*5*4.2)/2
area = (105)/2
area = 52.5 in²
The area of the pentagon is 52.5 in²
Please Help me solve it. Thanks in Advance!
Answer:
27π
Step-by-step explanation:
First, find the area as though the circle were complete.
A = πr²
A = π(6)²
A = 36π
Now, if you look at the diagram, you can see that the chunk missing forms a 90 degree angle. In a circle, there is 360 degrees in total. This means that only 3/4 of the circle is left. Multiply the area by 3/4.
36π × 3/4 = 27π
The area is 27π.
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.
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.
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
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
To mail a letter first class, the us postal service charges $0.34 for the first ounce and $0.21 for each additional ounce. What will be the weight of a letter costing 5.76?
Answer:
25.599
I think
Step-by-step explanation:
if its right can u please give me the brainilest
Zhen is an audiobook narrator. The table gives some completed audio lengths and the amount of time Zhen spends researching, recording, and editing the audiobook.
Completed length of audiobook (hours) Working time (hours)
1 6 1/2
3 1/2 22 3/4
7 45 1/2
10 65
What does 6 1/2 mean in this sitiuation?
a. Zhen 6 1/2 hours working for every hour of the completed audiobook.
b. Zhen completes 6 1/2 audiobooks in an hour.
c. Zhen spends 6 1/2 hours working per audiobook.
Answer:
c. Zhen spends 6 1/2 hours working per audiobook.
Step-by-step explanation:
The table below gives some completed audio lengths and the amount of time Zhen spends on the audiobook.
[tex]\left|\begin{array}{c|c}$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.
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 PLEASEE,
What is the value of X in the triangle?
Answer:
this is the answer
hope it help you
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
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
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:
x + 12.2 = 42.33
Please solve for x
☺ Please Mark Brainliest ☺
Answer:
x=30.13
Step-by-step explanation:
x + 12.2 = 42.33
-12.2 = -12.2
----------------------
x=30.13
Answer:
x=30.13
Step-by-step explanation:
i think idrk i put in my calculator and got this
wanna make me brainliest
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
the total surface area of a cube is 294cm2
Work out the volume of the cube.
Answer:
343cm³
Step-by-step explanation:
294:6=49
square root of 49=7
7³= 343cm³
Solve using synthetic division.
(x2 + 3) ÷ (x − 1)
Answer:
2x+3 / x = 1
Step-by-step explanation:
Which of the following functions is graphed below?
Answer:
idk man if you want to add a picture click the paperclip thingy though
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
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]
If you invest $1,000 at the age of 15 and it earns 9% annually, what will the
original investment be worth at the age of 62? *
Answer:
4230
Step-by-step explanation:
I=PRT
I=1000*9/100*62-15
I=1000*9/100*47
I=4230
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
There are 250 freshman at Central High School. You survey 50 randomly selected freshmen and find that 35 plan to go to the school party on Friday. How many freshmen are likely to be at the party?
I think the answer is 175.
Hopefully this helps.
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
गुणोत्तर अनुक्रम र श्रेणी (GEOMETIC SEQUENCE & SERIES)
12A. एउटा गुणोत्तर श्रेणीको तेस्रो र छैटौँ पदहरू 1 : 8 को अनुपातमा छन् । यदि आठौं पद 384 भए सो श्रेणीको पाचौं पद पत्ता लगाउनुहोस् ।
The third and sixth terms of a geometric series are in the ratio of 1 : 8. If eighth term of the series is 384
then find the fifth term.
Answer:
i think its 34
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
referring to the table below, are the events is female and owns a dog independent?
Answer:
No
Step-by-step explanation:
They are independent iff:
P(F & D) = P(F) × P(D)
15.278/100 = (55/100) × (27.778/100)
0.15278 = 0.125279 (false)
Therefore, not independent
(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
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$
correct answer.
Consider the two similar cylinders. The heights of both cylinders are given, along with the diameter of the smaller cylinder. What is the diameter
of the larger cylinder?
48 in
32 in
12 in
Figures not drawn to scale
А
28 inches
B
20 inches
18 inches
Answer:
18 inches
Step-by-step explanation:
Given: The heights of both cylinders are 48 inches and 32 inches. Diameter of the larger cylinder is 12 inches
To find: diameter of the larger cylinder
Solution:
Height of the larger cylinder (H) = 48 inches
Height of the smaller cylinder (h) = 32 inches
Diameter of the smaller cylinder (d) = 12 inches
Radius of the smaller cylinder (r) = d/2 =12/ 2= 6 inches
As two cylinders are similar, their heights and radii are proportional.
[tex]\frac{r}{h}=\frac{R}{H}\\\frac{6}{32}=\frac{R}{48}\\R=\frac{6}{32}\times 48=9\,\,inches[/tex]
Diameter of the larger cylinder = 2R = 2(9) = 18 inches
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