Answer:
C
Step-by-step explanation:
Coterminal angles are angles that have a common terminal side.
So, given an angle θ, its coterminal angles will always be ±360°. This can be repeated.
We have a 645° angle.
Therefore, all values of the equation:
[tex]645\pm 360n[/tex]
Where n is an integer is coterminal with our original angle.
Letting n = 1 and using the negative case, we acquire:
[tex]\Rightarrow 645-360=285[/tex]
Therefore, an angle measuring 285° is coterminal with a 645° angle.
None of the other options can be reached by adding/subtracting 360.
Therefore, our answer is C.
Find the surface area of the solid figure represented by the given net. 10cm squared 10cm squared 10cm squared 10cm squared 25cm squared
Answer:
its actually 65
Step-by-step explanation:
Elias purchases a home for $38,900. The value of the home, in thousands of dollars, since his purchase is shown in the table. A 2-column table with 6 rows. The first column is labeled years since purchase with entries 0, 5, 10, 15, 20, 25. The second column is labeled value (thousands of dollars) with entries 38.9, 62.4, 89.3, 145.2, 210.8, 326.5. Find an exponential function that models the data. Round numerical values to the nearest hundredth. Let x be the number of years since the purchase. The function f(x) = ( )x models the data. Use the model to predict the home’s value. After 12 years, the home’s value will be about $ thousand. After 35 years, the home’s value will be about $ thousand.
Answer:
f(x)=39.59 (1.09)
Use the model to predict the home’s value.
After 12 years, the home’s value will be about $
111 thousand.
After 35 years, the home’s value will be about $
808 thousand.
Step-by-step explanation:
Edge 2021 :)
A function assigns the values. After 35 years, the home’s value will be about $215.079.68 thousand.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A general exponential equation is given as,
y = A(1+b)ˣ
Now, if x is the number of years since the purchase. And we substitute the value of the x and y from the table. Then we can write,
38.9 = A(1+b)ˣ
A = 38.9
Therefore, the equation can now be written as,
y = 38.9(1+b)ˣ
Substitute the second point in the equation,
y = 38.9(1+b)ˣ
62.4 = 38.9(1+b)⁵
1.604113 = (1+b)⁵
1+b = 1.09912
b= 0.09
Hence, the function that can model the value of the house after x years is y=38.9(1.09)ˣ.
B.) Now the value of the house after 12 years,
y=38.9(1.09)ˣ
y=38.9(1.09)¹²
y = 109.41
The home’s value will be about $ 109.41 thousand.
C.) After 35 years, the home’s value will be,
y=38.9(1.09)ˣ
y=38.9(1.09)¹⁰⁰
y = 215.079.68
After 35 years, the home’s value will be about $215.079.68 thousand.
Learn more about Function:
https://brainly.com/question/5245372
#SPJ2
Help me!!!!!!!!!!!! And look at the picture plzzzz!!!!
Answer: 72
Step-by-step explanation:
Set it up as a ratio
[tex]\frac{12}{15} =\frac{x}{90} \\15x=1080\\x=72[/tex]
Pls help with this question pls and thx!
please help i don't get this
Answer:
-4
Step-by-step explanation:
A game show is offering a prize of 1 cent on the first day , 3 cents on the second day 9 cents on the third day , etc. What is the total amount of money earned from this prize in two weeks ?
Answer:
$15943.23
Step-by-step explanation:
each day the total of the day before is multiplied by 3 so if you do that for 14 days you will get the answer
Answer:
2,391,4.84 dollars
Step-by-step explanation:
1, 3 , 9...
on the 1st day, 3^0
on the 2nd day, 3^1
on the 3rd day, 3²
:
one the 14th day, 3^(14-1)
=> 3^13
=> 1,594,323
"Total about of money" => have to add up the money from the 1st day to the 14th day:
1 + 3 + 9 + 27 + 81 + 243 + 729 + 2187 + 6561 + 19683 + 59049 + 177147 + 531441 + 1594323 = 2,391,484
how many outfits can you make out of 2 helmets, 6 shirts, and 2 pairs of shorts
Answer:
2 OUTFITS
Step-by-step explanation:
Let f(x)=3(12)x+1. Which is equal to f(1)?
Answer:
just substitute the value of x as 1
f(x)=3(12)x+1
f(1)=3(12)(1)+1
f(1)=3(12)(1)+1
f(1)=36+1
f(1)=37
Help help help help help help
Answer:
More than for the first box and less than for the second.
X^2+3x-18 what are the zeros of r(x)?
Answer:
Step-by-step explanation:
18 has factors of 9 and 2 or 6 and 3
Those factors must differ by 3, so 6 and 3 in some order is your answer.
(x + 6) (x - 3) = r(x)
You have to make x a value that turns the factor into 0.
x + 6 = 0
x = - 6
x - 3 = 0
x = 3
So the zeros are (3,0) and (- 6,0)
Maori created this shape out of construction paper using a ruler and scissors. She made sure that all of her angles were right angles.
What is the area of Maori's shape?
A) 36 cm2
B) 48 cm2
C) 90 cm2
D) 102 cm2
Answer:
B) 48cm²
Step-by-step explanation:
find the area of the 2 rectangles
A = bh
A = 9×4
A = 36
A = bh
A = 6×2
A = 12
add them up you get 48cm²
V 153
Given tan A= - and that angle A is in Quadrant IV, find the exact value of
sec A in simplest radical form using a rational denominator.
4
The secant of the angle A is 13/4
How to determine the value of sec(A)?The given parameter is:
[tex]\tan(A) = -\frac{\sqrt{153}}{4}[/tex]
Using the trigonometry identity, we have:
[tex]\sec^2(A) = \tan^2(A) + 1[/tex]
This gives
[tex]\sec^2(A) = (-\frac{\sqrt{153}}{4})^2 + 1[/tex]
Evaluate the exponent
[tex]\sec^2(A) = \frac{153}{16} + 1[/tex]
Evaluate the sum
[tex]\sec^2(A) = \frac{169}{16}[/tex]
Take the square root of both sides
[tex]\sec(A) = \pm \frac{13}{4}[/tex]
Secant in quadrant IV is positive.
So, we have:
[tex]\sec(A) = \frac{13}{4}[/tex]
Hence, the secant of angle A is 13/4
Read more about trigonometry ratios at:
https://brainly.com/question/11967894
#SPJ1
PLEASE HELPPP! I'LL GIVE BRAINLEST
Answer:
hiiii....
Step-by-step explanation:
b)2and4 only
What is the equation of g(x)?
The graphs of f(x) = 5x and its translation, g(x), are
shown on the graph.
30 ly
25
12,25)
O g(x) = 5*-9
O g(x) = 5x-10
g(x) = 5x – 9
g(x) = 5x – 10
20-
х
15
(2, 15)
10-
(1,57
f(x) (01)
计
6 5 4 3 2 -15
2
(1,-5)
wo
g6x)
(0-9)
-15
20
-25
30 -
Answer:
the third option: g(x) = 5^x - 9
Step-by-step explanation:
identify the y-intercept, which is (0, -9)
find the option with: y = mx - 9
↑ the y-intercpet
The equation that represents g(x) is [tex]g(x) =5^x - 9[/tex]
The function f(x) is given as:
[tex]f(x) =5^x[/tex]
From the graph, the function f(x) is shifted down by 9 units
The rule of this transformation is represented as:
[tex](x,y) \to (x,y-9)[/tex]
So, we have:
[tex]g(x) =f(x) - 9[/tex]
Substitute [tex]f(x) =5^x[/tex]
[tex]g(x) =5^x - 9[/tex]
Hence, the equation that represents g(x) is [tex]g(x) =5^x - 9[/tex]
Read more about function transformation at:
https://brainly.com/question/1548871
For every 16 mango trees in the orchard, there are 8 coconut trees. If there are 1320 trees. How many trees of each kind are there?
SHOW PROCESS PO pa help po need ko po ngayon:(
I BRAINLIEST ko po yung tamang sagot :(
Answer:
let's say coconut trees is X is there from mango trees will be 2X
Step-by-step explanation:
2x+x=1320
3x=1320
divide both sides by three
3x/3=1320/3
x=440(coconut)
2x=880(mango)
If an object moves in uniform circular motion in a circle of radius R = 2.00 meters, and the object takes 5.00 seconds to complete ten revolutions, calculate the centripetal acceleration. ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. a= _____ m/s2 39.4 m/s 2 100. m/s 2 158 m/s 2 50.2 m/s 2
Compare areas: the side of a square is 14 m long. If all four size increased by 5, how my how much is the area increase?
The areas from _____ m^2 to _____ m^2, which is an increase of _____ m^2.
9514 1404 393
Answer:
196361165Step-by-step explanation:
The original side length is 14 m, so the area is (14 m)² = 196 m².
The longer side length is 14 m + 5m = 19 m, so the area is (19 m)² = 361 m².
The increase in area is ...
361 m² -196 m² = 165 m²
The area increases from 196 m² to 361 m², which is an increase of 165 m².
Answer:
The areas from 196 m² to 361 m², which is an increase of
165 m²
If 40% of a number is 28, find 10% of that number.
Answer: 7
Step-by-step explanation:
Please help will give brainliest!
Answer:
Yes, Yes, No, Yes.
Step-by-step explanation:
2/5 as a decimal = 0.4
4 ÷ 0.4 = 10
1 is correct.
2 x 10 = 20
2 is correct.
6 x 10 = 60
3 is incorrect.
10 ÷ 2 = 5
4 is correct.
Three times Francis' age plus five times Earl's age is 230. Earl is also four times Francis age. How old is Earl?
Answer:
E = 40 years
Step-by-step explanation:
Let the age of Francis be F.
Let the age of Earl be E.
Translating the word problem into an algebraic expression, we have;
3F + 5E = 230 ......equation 1
E = 4F .......equation 2
To find the value of F;
Substituting eqn 2 into eqn 1, we have
3F + 5(4F) = 230
3F + 20F = 230
23F = 230
F = 230/23
F = 10 years
Now, to find the value of E;
From eqn 2;
E = 4F
Substituting the value of "F" we have;
E = 4*10
E = 40 years
Therefore, Earl is 40 years old.
Sami opened an account with a deposit of $4,000.
• The bank pays 3.5% annual simple interest on this account
• Sami did not make any additional deposits or withdrawals.
How long will it take for Sami to earn $2,100 in interest on this
account?
835.71$
Step-by-step explanation:
is the answer just done it
What is the volume of the cone?
Use 3.14 for π, and round to the nearest tenth.
Volume =
1 πr2h
3
=
1 ×π×22×7
3
= 29.321531433505 miles3
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
2&7
6&3
Definition:
angles located at opposite positions between the two lines that are intersected by a transversal.
Step-by-step explanation:
Please help ASAP
Please help
No links please
Answer:
base = 3 units
height = 5 units
area = 1/2 x 3 x 5 = 7.5 square units
Answer:
[tex]b[/tex] = 3 units
[tex]h[/tex] = 5 units
[tex]a[/tex] = 7.5 units
Step-by-step explanation:
We can find the base of the figure by counting the number of units from the left to the right of the triangle. So, we can find that the base is 3 units.
The height of the figure can be found by counting how many units the figure measures from the tip to the bottom. The height, then, is 5 units.
The easiest way to find the area of a right triangle is to imagine it as a rectangle, with the same [tex]l[/tex] (length) and [tex]w[/tex] (width) dimensions, and then divide the area of the rectangle by two.
So, to find the area of this rectangle, multiply the length and width, 3 and 5, together.
3 · 5 = 15
Then, we can divide this product by two.
[tex]\frac{15}{2}[/tex] = 7.5
The area is 7.5 units².
Hope this helped :] Good luck!
Out of 24 cookies,
3
4
are chocolate chip. How many cookies are chocolate chip?
Answer:
18 cookies
Step-by-step explanation:
3/4 = 75%
75% = 0.75
Multiply this by 24 = 18 cookies
The cost of a sweatshirt at a sporting-goods store is in n dollars. Sales tax is 8%. Which expressions represent the cost of a sweatshirt including sales tax? HELP ME PLEASE
Answer:
n + 0.08n
Step-by-step explanation:
The expression that should represent the cost of the sweatshirt involving sales tax is given below
Since it is given that the cost of the sweatshirt be n dollars
And, the sale tax is 8%
So, the expression should be
= n + n × 0.08
= n + 0.08n
Hence, the expression is n + 0.08n
The same would be considered and relevant too
Evaluate the polynomial for x = -2.
x² - 9x+7
Answer:
Hi! The answer to your question is [tex]29[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
15 cm
15 cm
16 cm
20 cm
57 cm
What is the perimeter of the polygon?
Answer:
C.
Step-by-step explanation:
15 x 16=240 x 2= 480
57 x 20= 1140
1140 + 480 = 1620
Question 30
What was the median annual earnings for all U.S. civilian workers in 2016?
O $51,980
O $49,630
O $41,778
O $46,230
Help pleaseee! Whats the answer
Answer:
The answer is 16 for the blue dot
I'm think it's 16
Step-by-step explanation:
This is because it seems that it jumps from 0 to 4. So you add four to the number 4...