Answer:
yes it will
Step-by-step explanation:
28+28=56
124+56=180
a triangle consists of angles that add up to 180 degrees
This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this composite figure? Show your work.
Answer:
area of the figure: 29.92 m²
formula's:
area of rectangle: length * widtharea of sector: ∅/360 * πr²solving steps:
area of rectangle + area of sector
5.5 * 4 + 30/360 * π(5.5)²
22 + 7.919
29.92 m²
Answer:
Calculate the area of the sector and the area of the rectangle separately, then add them together to determine the area of the composite figure.
Rectangle
Area of a rectangle = width × length
= 4 × 5.5
= 22 m²
Sector
[tex]\textsf{area of sector}=\dfrac{\theta\pi r^2}{360} \textsf{ (when } \theta \textsf{ is measured in degrees)}[/tex]
[tex]=\dfrac{30 \cdot\pi\cdot5.5^2}{360}[/tex]
[tex]=\dfrac{121}{48}\pi \textsf{ m}^2[/tex]
Total area
total area = area of rectangle + area of sector
[tex]=22 +\dfrac{121}{48}\pi[/tex]
= 29.91943148...
= 29.9 m² (nearest tenth)
Jade wants to buy a $200,000 term life insurance policy. she is 34 years old. using the premium table, what is her annual premium for a 10 year policy? a 5-column table with 6 rows titled annual life insurance premium (per 1,000 dollars of face value). column 1 is labeled age with entries 30, 31, 32, 33, 34, 35. column 2 is labeled 5-year term male with entries 3.98, 4.08, 4.19, 4.30, 4.42, 4.54. column 3 is labeled 5 year term female with entries 3.66, 3.76, 3.87, 3.98, 4.10, 4.22. column 4 is labeled 10-year term male with entries 6.06, 6.13, 6.30, 6.38, 6.45, 6.53. column 5 is labeled female with entries 5.72, 5.79, 5.85, 5.93, 6.01, 6.09. a. $1,290 b. $1,202 c. $6,010 d. $820
Premium rates are often referred to as premium per fixed face value. Jade's annual premium for a 10-year policy of $200,000 is $1,202.
How to calculate the total annual premium for $x?
When it's given that the annual premium is $p per $y face value, then we can calculate the annual premium for $1 face value and then use it to calculate the annual premium for $x. Therefore using proportions, we can write,
$y face value : $p annual premium
[tex]\text{\$1 face value} : \$\dfrac{P}{y}\ \rm annual\ premium[/tex]
[tex]\text{\$x face value} : \$\dfrac{P\times x}{y}\ \rm annual\ premium[/tex]
In the given case, from the tables, we see that for age 34, and 10-year life insurance for the female gender, there is an annual premium of 6.01 per $1000 face value.
Therefore, we will get the value of p = 6.01, and y = 1000.
As mentioned that Jade wants to buy Life insurance for $200,000, therefore, x = $200,000
Putting it in the above-derived formula, we get:
[tex]\text{\$x face value} : \$\dfrac{P\times x}{y}\ \rm annual\ premium[/tex]
[tex]\text{\$200,000 face value} : \$\dfrac{6.01\times 200,000}{1,000}\ \rm annual\ premium = \$1,202\ \rm annual\ premium[/tex]
Hence, Jade's annual premium for a 10-year policy of $200,000 is $1,202.
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Answer:
b 1,202 on edge 2022
Step-by-step explanation:
You worked
44 hours. 40
regular hours a
$8.50 and 4
overtime hours. What would be your gross pay?
Answer:
$391.00
Step-by-step explanation:
Typically, regular work hours are paid at the rate given ($8.50), and overtime is "time and a half", or 1.5 times the regular pay.
We will get paid 40 hours at $8.50, and 4 four hours at 1.5x$8.50:
[tex]40(8.5)+4(1.5)(8.5)\\340+51\\391[/tex]
You will get paid $391.00 in gross pay, before taxes :)
Gabe's math class starts at 12:15 P.M. and lasts for 1 hour and 30 minutes. After math class, Gabe has recess for 15 minutes. What time does Gabe's recess end?
please help n explain ily
Answer:
Ends at 2:00
Step-by-step explanation:
12:15 + 1:30 = 13:45.
13:45 + 00:15 = 14:00
14 - 12 = 2
Recess ends at 2:00
Answer:
2p
Step-by-step explanation:
ok so 12:15 + 1 hour = 1:15pm
1:15pm + 30 minutes = 1:45pm
so that's the time that class ends at.
now Gabe has recess for 15 minutes.
so 1:45pm + 15 minutes = 2pm
Gabe's recess finishes at 2pm
hope that helps : )
Write a function rule for the relationship between the amount of plant food remaining, f), and the number of days that have passed, Type the correct answer in the box 0 B 2 ve CSC Eco 109 f(x) =
Answer: f(x) = 72-12x
Step-by-step explanation: Hope it helps
Please assist. No links or your account is getting banned
Answer:
[tex]a^-^7[/tex]
Step-by-step explanation:
[tex]\frac{a^{-13}}{a^{-6}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]
[tex]=a^{-13-\left(-6\right)}[/tex]
[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]
[tex]=a^{-13+6}[/tex]
[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-13+6=-7[/tex]
[tex]=a^{-7}[/tex]
Answer [tex]=a^{-7}[/tex]
~Learn with Lenvy~
If Sam has 120 dollars to spent what will he use it on, 20 apples that cost $6 or 50 pears that cost $3 dollars
Answer:
50 pears = 3 dollars
Step-by-step explanation:
he would want to save as much as possible
7(g + 2h)
What is an equivalent expression
Answer:
7g+14h
Step-by-step explanation:
hope it helped you
Answer:
7g + 14h
Step-by-step explanation:
What is an equivalent expression?
7(g + 2h)
7(g) + 7(2h) <== multipe both terms by 7
7g + 14h
Hope this helps!
Y= x + 6
y= -x+2
solve each system of equations by substitution
Answer:
x= -2
y=4
Step-by-step explanation:
Since we have an equation set equal to y, we can plug it in for either value of y.
I will be using y= x+6 in this case.
Plug in x+6 for the other equation, so instead of y=-x+2 it will now be that x+6 = -x+2
Now add x to both sides, and that will remove the x on the left side leaving us with 2x+6 = 2
Now, subtract 6 from both sides to get 2x isolated, and you will get 2x= -4
Divide both sides by 2 to get x= -2
Not plug x= -2 in back for the top (or bottom) equation and get that y=4
Hope this helps and isn't too complicated!
Kelly has some money. She spends $17.50 on clothes,
She has $6.21 left. Which model represents this?
a $17.50 -6.21 =n
b. n - 17.50 = 6.21
c. n + 17.50 = 6.21
d. n + 6.21 = 17.50
Explain.
Answer:
b
Step-by-step explanation:
because we dont know what she started with.
Answer:
b) I guess
Step-by-step explanation:
she has n. she spends $17.50 (-). she has $6.21 left
n - 17.50 =$6.21
n-17.50=$6.21
What is the quotient? X^2-11x+24/(x-8)(x+2)
Answer:
D
Step-by-step explanation:
[tex]\frac{x^2-11x+24}{(x-8)(x+2)}[/tex] ← factorise the numerator
= [tex]\frac{(x-8)(x-3)}{(x-8)(x+2)}[/tex] ← cancel the common factor (x - 8) on numerator/ denominator
= [tex]\frac{x-3}{x+2}[/tex]
The quotient of the given division problem is D. (x - 3) / (x + 2).
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given expression is,
(x² - 11x + 24) / (x - 8)(x + 2)
We have to first factor the numerator.
x² - 11x + 24 can be factored as (x - 8) (x - 3).
This is done using the factorization method.
Now the expression becomes,
(x² - 11x + 24) / (x - 8)(x + 2) = (x - 8) (x - 3) / (x - 8)(x + 2)
= (x - 3) / (x + 2)
Hence the quotient is option D.
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Solve the system using linear combination.
41
S 5x + 3y
Зх бу
9
We want to eliminate the variable y. What number should we multiply times the first
equation, so that when we add the two equations, we can eliminate the variable y?
Answer:
Delta does not have a relative extreme in the equation, so it is variable y It can not be true
Step-by-step explanation:
[tex]s = 5x + 3y[/tex]
There is an answer
The rest of the equation that has no substituted delta is not true, so the prime variables have relative extremes.
FGH and PQR are vertical angles. If FGH is 29 what is the measure of PQR?
< PGR = 61°
Step-by-step explanation:[tex]< FG4\ and\ < PQR\ are\ vortical\ angles.[/tex]
[tex]< FG4=29[/tex]°
[tex]< PQR=90\ - < FG4[/tex]
[tex]=90\ -29[/tex]°
[tex]=61[/tex]°
I hope this helps you
:)
Which expression has a value of 13? (2 points)
a
(20 ÷ 4) − 4 + 3 x 2
b
(18 ÷ 2) + 6 ÷ 6 + 3
c
(16 ÷ 4) + 3 x 4 − 1
d
(10 ÷ 2) − 3 + 4 x 2
Answer:
it is option B that is correct
Step-by-step explanation:
use BODMAS
B- Brackets
O-order
D-division
M-multiplication
Addition
Subtraction
You ask 179 of your classmates how they feel about the school year being made longer. Complete the two-way frequency table to show the results of the survey. Use pencil and paper. Combine the very unhappy and unhappy categories into one category called dislike and combine the happy and very happy categories into one category called like. Complete a new two-way frequency table.
Answer:
The answer are in the file
Rebecca is calculating her expected expenses for her week long trip to Thailand. Her plane ticket costs 22,885 baht, her lodging costs 15,307 baht, and she has set aside 29,071 baht for food and spending money. What is Rebecca’s total expense? a. 128,071 baht b. 67,263 baht c. 21,493 baht d. 9,121 baht.
Answer:
The answer is B because you add up the 3 expenses
Step-by-step explanation:
Add the three expenses
The total expected expense of Rebecca for her week long trip to Thailand is given by: Option B: 67,263 baht
How to calculate total expense?Total expense shows the overall expense for the thing we're expending for. We add all the expenses to get the total expense.
For this case, we're given that:
Cost of plane tickets = 22,885 bahtCost of lodging = 15,307Cost for food and other expenses = 29,071So, total expected expense is sum of all these expenses.
Total expected expense = 22885 + 15307 + 29071 = 67263 baht
Thus, the total expected expense of Rebecca for her week long trip to Thailand is given by: Option B: 67,263 baht
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Phoebe spent $12.87 at the bookstore. She paid with a $20 bill. How much is her change?
Answer:
7.28 in change
Step-by-step explanation:
When she used 20 bucks it gave her 7.28 cents.
What is 3 inches converted to feet?
Write your answer as a fraction in simplest form. 6
3 in=3 x 1 in
Answer:
1/4 feet
Explanation:
12 inches = 1 feet1 inches = (1/12) feet3 inches = (1/12)*3 feet3 inches = 1/4 feetSo
1in=1/12ftHence.
3in3(1/12)3/121/4ft0.25ftIs my answer correct?
Answer: yes there are just delete the last one and replace it with the sixth one start from the start also does this happen to be K12 7th grade?
Step-by-step explanation:
please help. please help.
Answer:
A. $3960
B. r=40x^2+400x+3000
C. $200
Step-by-step explanation:
A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write . R=PC
Per price increase is $20. So four price increase is $20x4=80. Hence, price per dive is 100+80=$180.
Also per price increase, 2 customers are reduced from 30. For 4 price increases, 4x2=8 customers are reduced. Hence, total customers is 30-8=22
So Total Revenue is: R= 180 x 22= 3960
B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.
Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.
Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.
R= (100+2x)(30-2x) = -40x^2+400x+3000
C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y).
That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be 5 x 20= 100. So the price that gives the greatest revenue is 100+100 = 200
Which could be the area of one lateral face of the triangular prism? A triangular prism. The rectangular sides are 8 feet by 2. 5 feet, 8 feet by 6 feet, and 8 feet by 6. 5 feet. The triangular sides have a base of 2. 5 feet and height of 6 feet. [Not drawn to scale] 7. 5 ft2 15 ft2 20 ft2 39 ft2.
The area of one lateral face of the triangular prism could be 20 ft².
What is a prism?a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first base, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.
Since the base of the prism is triangular so there will be three lateral faces.
Dimensions of rectangular lateral faces are:
1)8 feet by 2.5 feet
2)8 feet by 6 feet
3) 8 feet by 6. 5 feet
Area of the lateral face with dimension 8 feet by 2.5 feet = 8*2.5 =20 ft²
Area of the lateral face with dimension 8 feet by 6 feet = 8*6 =48 ft²
Area of the lateral face with dimension 8 feet by 6.5 feet = 8*6.5 =51 ft²
Therefore, the area of one lateral face of the triangular prism could be 20 ft².
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roblem #7
A system of linear equations is shown.
2y=6x+ 4
y = 3x-4
Explain how many solutions this system of equations has.
Answer:
no solution.
Step-by-step explanation:
1) in order to explain, the given system should be resolved:
[tex]\left \{ {{2y=6x+4} \atop {y=3x-4}} \right. \ < = > \ \left \{ {{y=3x+2} \atop {y=3x-4}} \right.[/tex]
2) the both equations have the same slope (it is 3), it means the given lines are parallel, then no solution.
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
area = 4x² +210x + 2250
Step-by-step explanation:
Area of a rectangle = width × length
Given:
width = 2x + 30length = 2x + 75⇒ area = (2x + 30)(2x + 75)
= 4x² +150x + 60x + 2250
= 4x² +210x + 2250
poiuytredfghjkl........
Answer:
yes you are correct
Step-by-step explanation:
not sure what you mean but yea
Jory's motorcycle travels at a constant rate of 18 miles in 45 minutes. What is the rate, in miles per hour,
that Jory is traveling?
A. 13
B. 18
C. 24
D. 26
please give explanation
Answer:
C. 24
Step-by-step explanation:
We should find how many miles Jory travels in 15 minutes first.
45 ÷ 15 = 3
18÷3=6
6 miles in 15 minutes
every hour has 60 minutes
60 ÷ 15 = 4
multiply 6 by 4 to find miles per hour
6×4=24
Please help ASAP
Dave is 8 years younger than 4 times Julia's age. If Dave is 16, how old is Julia?
6 years
24 years
32 years
O
56 years
Step-by-step explanation:
Age of dave = y
Age of Julia = x
y = 4x - 8
if y = 16
then
4x - 8 = 16
4x = 16 + 8
4x = 24
x = 24/4
x = 6
Julia is 6 years old
Answer:
Julia is 6 years old.
Step-by-step explanation:
Dave + 8 = 4 Julia
16 + 8 = 4 Julia
24 = 4 Julia
6 = Julia
Julia is 6 years old
is this correct or no if not what the answer
Answer:
A.
While D is partially correct, A is the way to go, because samples are easier to collect than whole populations. The internet quotes, "It is a much quicker process and is more time efficient." This proves the theory why A is the correct answer.
6. A line passes through the points (-2,5) and (6,9). Calculate the gradient of this line.
Answer:
d 2.5 line is 6.9 which is 9.4
Step-by-step explanation:
because
Help as soon as possible thank you
==========================================================
Explanation:
The full circle has a circumference of
C = 2*pi*r
C = 2*3.14*4
C = 25.12
Divide this by four because we only want a quarter circle (and not the whole thing). Imagine cutting a pizza into four equal slices, and we only focus on one slice.
The curved portion of the slice is roughly 25.12/4 = 6.28 units long.
Add on the two straight line portions of the quarter circle to get 6.28+4+4 = 14.28
The straight line portions are the radius.
The answer of 14.28 is approximate because pi = 3.14 is approximate.
Write an expression for the area of square 4 by combining the areas of the four triangles and the two squares.
The area of Square 4 is a2+2ab+b2
The area of Square 5 is 2ab+c2
Setting them equal to one another (a2+2ab+b2=2ab+c2) and simplifying yields that a2+b2=c2 (note that 2ab is what they have in common), which is Pythagoras' theorem.