Answer:
the measure of angle A to the nearest degree is 36°
The measure of angle A to the nearest degree is 21°.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
We can use the inverse sine function (denoted as sin⁻¹ or arcsin) to find the measure of angle A:
sin A = 0.3642
Taking the inverse sine of both sides, we get:
A = sin⁻¹(0.3642)
Using a calculator, we get:
A ≈ 21.3°
Rounding to the nearest degree, we get:
A ≈ 21°
Therefore,
The measure of angle A to the nearest degree is 21°.
Learn more about trigonometric identities here:
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A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag. If the theater wanted to offer a 60-ounce bag of popcorn, what would be a good price? Explain your reasoning
Answer:
For a volume of 60 ounces, the appropriate price is $16
Step-by-step explanation:
Firstly, we need to determine the relationship between volume of popcorn and the price of bag.
Let us try and see if there is a linear relationship
A linear model is of the form ;
y = mx + b
where m is the slope and b is the y intercept
While the price represents the y axis values, the volume represents the x axis values
For the slope;
m = (y2-y1)/(x2-x1)
m = (13.6-11)/(48-35) = 2.6/13 = 0.2
So we have the slope value as 0.2
the equation is;
y = 0.2x + b
to get b, substitute any value of (x,y)
6 = 0.2(10) + b
6 = 2 + b
b = 6-2 = 4
If we had substituted (20,8)
8 = 0.2(20) + b
8 = 4 + b
b = 4
if (48,13.6)
13.6 = 48(0.2) + b
13.6 = 9.6 + b
b = 13.6-9.6
b = 4
Hence we have established linear relationship between the volume in ounces and the price in $
So we have this as
Price = 0.2(volume) + 4
So for volume of 60 ounces;
Price = 0.2(60) + 4
price = 12 + 4
price = $16
The reason why this is appropriate is because it follows the rule of the established linear relationship
Answer:
$16
Step-by-step explanation:
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer and Step-by-step explanation:
To find the sequence, we must plug in values for n and solve, starting with 0.
f(0) = ⁻13 - 2(0) = ⁻13
f(1) = ⁻13 - 2(1) = ⁻13 - 2 = ⁻15
f(1) = ⁻13 - 2(2) = ⁻13 - 4 = ⁻17
f(1) = ⁻13 - 2(3) = ⁻13 - 6 = ⁻19
When seeing this, we can see that the answer to the questions is A.
#teamtrees #PAW (Plant And Water)
Find the surface area of the regular pyramid. Write your answer as a decimal.
It has a pentagonal base of 84.3 sq cm and the dimensions of the triangles are 7 cm across and 9 cm tall.
7x9=63/2=31.5
31.5x4= 126
7x7=49
126+49=175
The surface area of the pyramid would be 175cm^2
Here is a list of numbers.
5 15 30 50 60 90 100 125
From the numbers in the list, write down a multiple of 20.
The concession stand sells peanuts at football games. The peanuts are sold in-pound, -pound,
-pound, or 1-pound bags. The line plot shows the numbers of bags of peanuts that were sold during
last week's game.
Pls help
The graph shows two lines PLS EXPLAIN YOUR ANSWER
Answer:
None
Step-by-step explanation:
There is a solution when the two lines intersect, because the lines have the same slope (and different y intercepts) they will never intersect. Therefore there are no solutions
What is the simplest form of the fraction below?
16/24
Answer: 2/3
Step-by-step explanation:
Answer:
the answer is 2/3
Step-by-step explanation:
divide both by 8
How many terms are in the bionomial expansion of (3x^4-2y)^7 ??
Answer:
there is two terms. 3x^4 and 2y)^7
please mark as brainliest
Mr. Smith's class has 28 students. They all put in an equal amount of money to get Mr. Smith an end of year gift. If they collected $168 altogether, how much money did each student give. For each question, define a variable (Let statement), write and solve an equation
Answer:
Step-by-step explanation:
28 students all give $128
so,
[tex]\sqrt[28]{128}[/tex]= v v=6
Each student gave 6 dollars. This is true due to the fact that
[tex]\sqrt[28]{128}[/tex]=6
28X6=128
Theresa is baaking muffins for the school bake sale. She bakes 94 muffins.Her friend Diego bakes 37 muffins.They plan to place 8 muffins in each box to sell. What is the greatest number of boxes that Theresa and Diego can compleatly fill?
Answer:
16 boxes
Step-by-step explanation:
94+37=131
131/8=16.375
This means that the most possible boxes that they can fill is 16 boxes
Answer:
They can completely fill 16 boxes
Step-by-step explanation:
94 + 37 = 131
131/8 = 16.375
So that is 16 completely filled boxes and one box with .375 (3 muffins)
Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. How many rides did Penelope get to ride if she spends $35 in all.
Answer:
Penelope get to ride 30 rides if she spends $35 in all
Step-by-step explanation:
r= ride
20 +0.50r =35
sibtract 20 on each side
0.50r = 15
divide esach side by 0.50
r= 30
IM really struggling on these math problems can anyone help and help me how to show the WORK! PLEASE
Answer:
For the first one it is 5x+2
Step-by-step explanation:
(9x+5) - (4x+3) = ?
First you minus the x's together so,
9x-4x which would equal 5x
then you minus the 5 and 3 together so,
5-3 which would equal 2
then you put the 5x and the 2 together and you get
5x+2 :-)
For the rest of the problems, use this as an example!
The sum of five consecutive integers is 185. What is the mean of these five integers?
35, 36, 37, 38, 39 the mean is 37 the median is also 37
Which of these show a set of equivalent expressions ? select all that apply
x^2 - 9x = x + 24 solve for x
Answer:
x = - 2, x = 12
Step-by-step explanation:
Given
x² - 9x = x + 24 ( subtract x + 24 from both sides )
x² - 10x - 24 = 0 ← in standard form
(x + 2)(x - 12) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 12 = 0 ⇒ x = 12
PLEASE HELP, WILL GIVE BRAINLIEST!!!!!
Each of the quadilaterals noted below has two pairs of parallel sides as one of its properties except the blank.
Parallelogram
Rectangle
Trapezoid
Square
Answer:
trapezoid
Step-by-step explanation:
Answer:
trapezoid
Step-by-step explanation:
all the other shapes are basically squares that's only different one
Sharon rented a car for a base price of $200 and has to pay $13 for each day she drives. If her total bill is $252, how many days did she drive the rental car? Write a function rule to represent the total cost of renting a car as a function of the miles driven. Be sure to define your variables. b) Use your function rule to set up an equation to find the total miles driven, if Sharon was charged $252. c) Solve your equation from part (b) and determine how many miles were driven.
three thousand two handrend and seventy six
How would I graph these on the plot please help :)
Answer:
A for example. The points is "(5,1)". The 5 would be on the x-axis while you put it on the y-axis. The 1 would be put on the y-axis while you put it on the x-axis. So you would go over 5 and up 1, not up 5 and over 1.
Step-by-step explanation:
four tins of beans weigh 1.6kg work out the weight of 12 tins of beans
find the value of x *
Answer:
5 2/5 seems right to me
Step-by-step explanation:
filler filler filler
9. Lines A and B are parallel lines. Find the measures of angles 1, 2 and 3.
Answer:
<1 = 33
<2 = 90
<3 = 57
Step-by-step explanation:
<3 = 57 because of alternate interior angles
<2 + <3 + 33 = 180
<2 + 57 + 33 = 180
<2 + 90 = 180
<2 = 90
<1 + <2 + 57 = 180
<1 + 90 + 57 = 180
<1 + 147 = 180
<1 = 33
Julio has $150. Each week, he saves an additional $10.Write a function ()that models the total amount of money Julio has after weeks.
Answer:
The function that models the total amount of money Julio has after weeks is:
f(x)=150+10x, where:
x is the number of weeks
Step-by-step explanation:
With the information provided, you can say that the total amount of money Julio has would be equal to the initial amount he has plus the result of multiplying the $10 that he saves every week for the number of weeks, which can be expressed as:
f(x)=150+10x, where:
x is the number of weeks
Answer: f(x)=150+10x,
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
12:32
Step-by-step explanation:
there are twelve triangles n-32 total shapes
What number would represent the outlier in the following set of data?
10, 13, 9, 29, 15, 11, 14, 8, 10, 11, 17, 14, 12
Answer:
29
Step-by-step explanation:
A chainsaw needs a 50:1 gas:oil ratio, how much oil do you need if you add 3 gallons of gas? no links!! links will be reported
Answer:
3/50 of a gallon
Step-by-step explanation:
50 / 1 = 3 / x
cross-multiply:
50x = 3
x = 3/50
Can someone help find what C is?
Answer:
the first one is 10
the second one is 12.65
Step-by-step explanation:
hope this will help u
Hello there!
Here, we want to use the Pythagorean Theorem: [tex]a^{2} + b^{2} = c^{2}[/tex].
For problem number 7, we plug 6 and 8 in for a and b. Like this:
[tex]6^{2} + 8^{2} = c^{2}[/tex]
Now we solve. [tex]6^{2}[/tex] is 36. [tex]8^{2}[/tex] is 64.
64 + 36 = 100
Then, we take the square root of 100 to get c.
[tex]\sqrt{100} = 10[/tex]
(There's something special about this triangle. If you want I'll tell you about it in the comments.)
For problem number 8, we do the same exact thing.
[tex]4^{2} + 12^{2} = c^{2}[/tex]
[tex]4^{2} = 16[/tex] and [tex]12^{2} = 144[/tex]
[tex]144 + 16 = 160[/tex]
[tex]\sqrt{160} = 8\sqrt{10}[/tex]
I hope this helps!!
Find the distance between the points (6, -2) and (9,4).
Answer:
75 units
Step-by-step explanation:
Answer:
5 units
Step-by-step explanation:
answer given by IXL
I need help desperately
Answer:
y = x + 4
Step-by-step explanation:
slope = 1
b = 4
What is 0.25 of twelve inches
Pls help ASAP
Answer:3
Step-by-step explanation:
12/4 = 3
ack can someone help
Answer:
I think the surface area is 382.