Answer:
A third is written as ¹/₃
Step-by-step explanation:
The way to understand this is the number on the bottom is the number of pieces being divided into;
So ¹/₃ is 1 whole divided into 3 parts;
So, you need 3 ¹/₃ parts to make a whole
[tex]a \ * \ \frac{b}{c} = \frac{ab}{c} \\\\ 3 \ * \ \frac{1}{3} = \frac{3 \ * \ 1}{3} \\\\ = \frac{3}{3} \\\\ = 1[/tex]
What is the inverse of the function g(x)=
-3(x + 6)?
g-1(x) =
i need help with this question.
Answer:
See below for answer.
Step-by-step explanation:
∠1 and ∠2 are supplementary Given
∠1 + ∠2 = 180° Definition of supplementary angles
∠3 and ∠2 are supplementary Given
∠3 + ∠2 = 180 Definition of supplementary angles
∠1 + ∠2 = ∠3 + ∠2 Substitution
∠1 = ∠3 Substracting ∠2 from both sides
According to this diagram, what is sin 23°?
67°
13
5
23°
90°
The value of sin(23°) is equivalent to 0.39.
What are trigonometric functions?There are six major trigonometric functions as -
Sine(x)Cosine(x)Tangent(x)Cotangent(x)Secant(x)Cosecant(x)We can write the relation between them as -
Sine = 1/cosecantCosine = 1/secantTangent = 1/CotangentGiven is to find the value of sin 23°.
Now, we can write the value of sin(23°) as -
sin(23°) = sin(30° - 7°)
Expanding using the compound angle formula, we can write -
sin (x - y) = sin(x) cos(y) - cos(x) sin(y)
sin(30° - 7°) = sin(30°) cos(7°) - cos(30°) sin (7°)
sin(30° - 7°) = 1/2 x 0.99 - √3/2 x 0.121
sin(30° - 7°) = 1/2 x 0.99 - √3/2 x 0.121
sin(30° - 7°) = 0.495 - 0.105
sin(30° - 7°) = 0.495 - 0.105
sin(30° - 7°) = 0.39
Therefore, the value of sin(23°) is equivalent to 0.39.
To solve more questions on trigonometric functions, visit the link below-
https://brainly.com/question/30672622
#SPJ7
Read the excerpt from "Healthy Eating."
If anything gets in the way of our good eating, it's lifestyle. When you get home from work late, why spend an hour in front of the stove when you can spend two minutes at the microwave? And doesn't that oatmeal box claim to be a good source of calcium for our kids, never mind the small print listing 14 grams of sugar? A small soda at the movies could satisfy a family of four. Even schools have vending machines.
What does the author think is responsible for people's poor eating habits?
A They do not know how to correctly read the nutrition information on food packages.
B They do not know how to prepare healthy meals that are both inexpensive and quick.
C They often choose foods that are quick and convenient instead of ones that are healthy.
D They spend time thinking about work and entertainment instead of thinking about food.
Step-by-step explanation:
Assume that x is a positive acute angle.
Given: sin x =28/53
Find: sin 2x
Answer:
its sophisticated but answer is 3
Step-by-step explanation:
you have to dive deep into it and research
A local animal shelter has many cats and dogs. The shaded part represents the percent of animals that are dogs. If there are 82 dogs, how many animals are there in total?
Answer:
weel if you divide 82 by 2 then it you will get the number of cats which is 41 then add 82 + 41 =123
Step-by-step explanation:
mark me brainliest
The Washington High key club is selling brownies and chocolate chip cookies to raise money. Their table only has room for 100 baked goods. Previous bake sells has taught them to plan to bake at most 30 brownies and at least 50 cookies. Write and graph a system of inequalities to represent the possible number of baked goods.
Step-by-step explanation:
Let x - brownies, y - cookies.
According to given w have following inequalities
Their table only has room for 100 baked goods:
x + y ≤ 100Plan to bake at most 30 brownies and at least 50 cookies:
x ≤ 30y ≥ 50See attached for the graphical solution
The solution is within the marked boundaries.
Rewrite as equivalent rational expressions with denominator (5c+9)(c−3)(c−8): 8/5c2−6c−27,2c/5c2−31c−72
Rational expressions are expressions that can be represented as a quotient
The equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]
The expression is given as:
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex]
Expand the numerator as follows
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c \times c -5c \times 3 + 9\times c -9 \times 3)}{c - 8}}[/tex]
Multiply the factors on the numerator
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -15c+ 9c -27)}{c - 8}}[/tex]
Collect and evaluate like terms
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -6c-27)}{c - 8}}[/tex]
Remove the brackets
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{5c^2 -6c-27}{c - 8}}[/tex]
This means that:
[tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex] and the given expression [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] are equivalent
Hence, the equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]
Read more about rational expressions at:
https://brainly.com/question/25292194
If we recall that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, which lengths make sense for possible values of b? Select two options.
Answer:
Step-by-step explanation:
the first ine make sense to me
if not right sorry
Answer:
0.5in and 2in
Step-by-step explanation:
It is the answer
how do i do this?
y=- 1/2x + 3
Answer: y-intercept would be (0,-1/3)
Step-by-step explanation:
I might be wrong
Find the value of x and y.
(In picture)
Answer:
x is 4, and y is 3
Step-by-step explanation:
a. A teacher has 5 rulers. Each
ruler is one foot long and 3 of
them are plastic. What is the total
length of the rulers if they are
laid end to end?
Х
=
Answer:
5
Step-by-step explanation:
Since each is 1 foot long and there is 5, then, the total length is 5
Find the equation of the normal to the curve y=x+x-2 at the point x = 2.
Answer:
(2,1)
Step-by-step explanation:
HELP FAST, I'LL GIVE BRAINLIEST, 50 POINTS!!!
-2.25+0.4x=-2.8
Solve and show your steps in both fraction form, and decimal form
Answer:
Decimal = -1.375, Fraction = -11/8
Step-by-step explanation:
Decimal:
-2.25 + 0.4x = -2.8
0.4x = -0.55
x = -1.375
Fraction:
-9/4 + 2/5x = -14/5
-45/20 + 8/20x = -56/20
8/20x = -11/20
x = -11/8
Hopefully this helps!
Brainliest please?
the local library raised money by having a used book Rebecca volunteered to help. her task was to stick price labels on each of the 198 books on a bookshelf in 5 minutes Rebecca labeled 18 books at this rate what was the total number of minutes rebecca needed to label all 198 books
Answer:
the local library raised money by having a used book Rebecca volunteered to help. her task was to stick price labels on each of the 198 books on a bookshelf in 5 minutes Rebecca labeled 18 books at this rate what was the total number of minutes rebecca needed to label all 198 books
Is ( - 1, 2) a solution of the system y > x and x + y > 0?
O No, because ( - 1, 2) is a solution to only one of these inequalities.
O Yes, because ( – 1, 2) is a solution to both inequalities.
O Yes, because ( - 1, 2) is the point of intersection of the two boundary lines of this system.
No, because ( – 1, 2) is not a solution to either inequality.
Answer:
Yes, because (-1,2) is a solution to both inequalities
Step-by-step explanation:
2>-1 so the first inequality is correct
-1+2>0 so the second inequality is correct
A car's rear windshield wiper rotates 130°. The total length of the wiper mechanism is 25 inches and the length of the wiper blade is 14 inches. Find the area wiped by the wiper blade. (Round your answer to one decimal place.)
The area wiped by the viper blade is approximately 486.7 square inches.
The area wiped by the wiper blade ([tex]A[/tex]), in square inches, is equal to the area of the circular section described below:
[tex]A = \frac{\theta\cdot \pi}{360}\cdot (R^{2}-r^{2})[/tex] (1)
Where:
[tex]\theta[/tex] - Angle, in sexagesimal degrees. [tex]r[/tex] - Inner radius, in inches.[tex]R[/tex] - Outer radius, in inches.If we know that [tex]\theta = 130^{\circ}[/tex], [tex]R = 25\,in[/tex] and [tex]r = 14\,in[/tex], then the area wiped by the wiper blade is:
[tex]A = \frac{130\pi}{360} \cdot [(25\,in)^{2}-(14\,in)^{2}][/tex]
[tex]A \approx 486.7\,in^{2}[/tex]
The area wiped by the viper blade is approximately 486.7 square inches.
We kindly invite to check this question on circular sections: https://brainly.com/question/14989543
Helen counted six dollars and four cents in her purse. She recorded this amount in decimal form as $6.40. Did she record it correctly? If she made a mistake, what is the correct way
to record this amount of money as a decimal?
Pls answer will give brainiest
Answer:
6 dollars and 4 cents
Step-by-step explanation:
Grace wants to collect data on the weight of her puppy as it grows. She decides to construct a table with age in weeks and weight in kilograms as variables. Will the ordered pairs from Grace’s data represent a function, a relation or a neither?
solve the system of equations by graphing.
3x + y = -4
x - 2y = -6
Answer:
(-2,2)
Step-by-step explanation:
Convert 13.86° to degrees/minutes/seconds
Answer:
13,51,36.00
Step-by-step explanation:
A secured loan would most likely be used to pay for
A. college
B. a car
C. groceries
D. a phone
A secured loan would most likely be used to pay for a car, the correct option is B.
We are given that;
The four options
Now,
A secured loan is a loan that is backed up by collateral pledged by the borrower, such as a car or property.
The lender can sell the collateral to cover repayment of the loan if the borrower defaults.
Car, since it is a common type of collateral for secured loans.
College, groceries and a phone are less likely to be used as collateral for secured loans, since they are either intangible, perishable or low-value assets.
Therefore, by loan the answer will be car.
Learn more about loan payment here:
https://brainly.com/question/4234016
#SPJ2
Pls help I will mark brainless
Answer:the answer is 1/5
Step-by-step explanation:
What is the value of x in the equation
1/2 x - 3/4 = 3/8 - 5/8
Answer:
The value of x is 1
Step-by-step explanation:
1/2 x - 3/4 = 3/8 - 5/8 x
1/2 x + 5/8x = 3/8 + 3/4
9/8 x = 9/8
x = 1
Does anyone know this?
Answer: 8.6?
Step-by-step explanation:
I would really appreciate help with this. I will give brainliest
Can any of you tell me the types of frequencies in math and explain how to find each one? It would be really really helpful if you answered:)
Answer:
Grouped Frequenct Distribution
UnGrouped Frequency Distribution
Step-by-step explanation:
Figures or numbers collected for some definite purpose is called data. Frequency is the value in numbers that shows how often a particular item occurs in the given data set. There are two types of frequency table - Grouped Frequency Distribution and Ungrouped Frequency Distribution. Data can be shown using graphs like histograms, bar graphs, frequency polygons, and so on.What is 8,473,227 rounded to the nearest hundred thousand
Answer:
8 500 000
Step-by-step explanation:
since it for the hundred thousand round off, we consider the ten thousand place value if it would have an effect on the hundred thousand place value.
In our case it did not have effect because it is below 5
PLEASE HELP ME
It snowed 2/3 of a foot in January and 1/2 of a foot in February. How much more did it snow in January than in February?
Answer:
Step-by-step explanation:
2/3 - 1/2 ?=?
4/6 - 3/6 = 1/6 ft more
Bradley is 27 years older than Madison. Seven years ago, the sum of their age was 59. How old are they now?
Answer:
bradley is 50 and madison is 23
Step-by-step explanation:
m + 27 = b
(b - 7) + (m - 7) = 59
[(m + 27) - 7] + (m - 7) = 59
m + 20 + m -7 = 59
2m + 13 = 59
2m = 46
m = 23, b = 23 + 27 = 50
An isosceles right triangle has legs of equal length if the hypotenuse is 10 cm long find the length of each leg
Since this is a right triangle, we know we have to use the Pythagorean Theorem: A² + B² = C² , where A and B = the legs of the triangle (which are shorter than the hypotenuse) and C = the hypotenuse.
In this isosceles triangle, A = B (because the legs are the same size) and C is 10cm longer than A and B.
Thus we get the following,
A = x
B = x
C = x + 10
We simply plug in these variables into the equation and solve for x:
x² + x² = (x+10)²
2x² = x² + 20x + 100
x² - 20x - 100 = 0
We solve for x by completing the square:
(x² - 20x + 100) - 100 = 100
(x-10)² -100 = 100
(x-10)² = 200
x - 10 = √(200)
x - 10 = 10 √2
x = 10 + 10√2 = 24
Finally,
A ≈ 24 (or 10 + 10√2)
B ≈ 24 (or 10 + 10√2)
C ≈ 24 + 10 ≈ 34 (or 10 + 10√2 + 10 = 20 + 10√2)