We have to find the slope having points (-1,1) and (1,-1), We are going to use the formula for the slope of the line
\(m=\frac{y2-y1}{x2-x1}=\frac{-1-1}{1-(-1)}=\frac{-2}{2}=-1\)The answer is m= -1
In ΔJKL, j = 6.3 inches, l = 6.1 inches and ∠L=54°. Find all possible values of ∠J, to the nearest 10th of a degree.
Answer:
56.7 and 123.3
Step-by-step explanation:
delta math
The required value of ∠J is 56.6° for the given triangle.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbolΔ.
Here, we are given:
j = 6.3 inches (the length of side JK)
l = 6.1 inches (the length of side KL)
∠L = 54° (the measure of angle L)
We want to find the possible values of ∠J (the measure of angle J).
Using the law of sines, we can write:
j/sin ∠J = l/sin ∠L
Substituting the given values, we get:
6.3/sin ∠J = 6.1/sin 54°
Multiplying both sides by sin ∠J and dividing by 6.1, we get:
sin ∠J = (6.3/6.1) sin 54°
sin ∠J ≈ 0.8354
∠J = sin⁻¹ (0.8354)
∠J = 56.6°
Therefore, the required value of ∠J is 56.6°.
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Rafael is planning a pizza party for 12 people and wants to make sure there is enough pizza for each person to eat 48휋 square inches. How many 16-inch diameter pizzas should Rafael buy?
Answer:
3 16 inch pizzas because 16 x 3 = 48 and they needed 48 square inches so 3 pizzas is your answer.
Step-by-step explanation:
!!!!Translate the sentence into an inequality!!!!!
The sum of 9 and x is greater than or equal to 27.
Answer:
I got you my man 9 is greater than.
Step-by-step explanation:
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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please help 10 points
Answer:
Step-by-step explanation:
A=πr2
= (3.14)(27)2
= 2289.06
Answer:
Radius or r = \(\frac{diameter}{2}\) = \(\frac{27}{2}\) = 13.5 m
Area of the circle = π r²
= 3.14 x 13.5²
= 3.14 x 182.25
= 572.265 m²
Need help asap please
The required value of x is 135° in the given polygon. which is the correct answer would be an option (A).
A polygon is given in the figure
According to the given question, the required solution would be as:
Number of sides = 8
The required value of x is the equal to measure of one Interior angle in the given polygon.
Interior angles of a polygon = (sides - 2) × 180°
In this case, the number of sides is 8
Sum of Interior angles = (8 - 2) × 180
Sum of Interior angles = (6) × 180
Sum of Interior angles = 1080°
the measure of one Interior angle = 180°/8
the measure of one Interior angle = 135°
Thus, the required value of x is 135°.
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100 POINTS AND BRAINLIST
Answer:
Step-by-step explanation:
Again, by definition, for a right-angled triangle:
sinx = opposite side / hypothesis
= a / c
cosx = adjacent side / hypothesis
= b / c
tanx = opposite side / adjacent side
= a / b
Answer:
Explained and Given Below.Trigonometry rules:
\(\sf sin(x)= \dfrac{opposite}{hypotensue}\)\(\sf cos(x)= \dfrac{adjacent}{hypotensue}\)\(\sf tan(x)= \dfrac{opposite}{adjacent}\)using the formula's:
\(\sf sin(x) = \dfrac{a}{c}\)
\(\sf cos(x) = \dfrac{b}{c}\)
\(\sf tan(x) = \dfrac{a}{b}\)
What is 15-4x=10x+45?
Answer:
-15/7
Step-by-step explanation:
Answer:
-15 ⁷
Step-by-step explanation:
please help i’m struggling so much
Answer:
3 will be the answer.
Step-by-step explanation:
Hope it's help you ♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Please look at image
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Does the series converge or diverge? If it converges, what is the sum? Show your work.
Step-by-step explanation:
This is a geometric series where our common ratio is -1/2, and a is -4
Since r is less than -1, this series converges so
The sun is
\( \frac{ - 4}{1 + 0.5} \)
\( \frac{ - 4}{1.5} = - \frac{8}{3} \)
The sum is -8)3
5. Determine the value of t4 in an arithmetic sequence given that t₁ = 11 and S9 = 243.
The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).
We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.
From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:
243 = (9/2)(2(11) + (9-1)d)
243 = 9(22 + 8d)
243 = 198 + 72d
45 = 72d
d = 45/72 = 5/8
Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:
tₙ = a + (n-1)d
t₄ = 11 + (4-1)(5/8)
t₄ = 11 + 3(5/8)
t₄ = 11 + 15/8
t₄ = 88/8 + 15/8
t₄ = 103/8
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Chad rolls a 6-‐sided number cube. Which of the following describes the probability of rolling a factor of 32?
Impossible
Unlikely
Equally likely as not
Likely
Certain
Answer:
1,2 and 4 are the factors of 32 in numbers between 1 to 6
so probability of rolling a factor of 32 is = 3/6 = 1/2
now, the probability of not rolling the factor of 32 = 1 - 1/2 = 1/2
therefore, The probability is same for both cases.
Your answer is Equally likely as not
By : Modern Einstein
What percent of 25 is 50
Answer:
50 is 200% of 25
Step-by-step explanation:
50 is 200 percent of 25.
To find the percentage of one number in relation to another, we can use the following formula:
(Percentage / 100) * Base = Amount
In this case, we want to find what percentage of 25 is 50.
Let's use x to represent the percentage:
(x / 100) * 25 = 50
To solve for x, we can divide both sides of the equation by 25:
(x / 100) = 50 / 25
Simplifying:
(x / 100) = 2
Next, we can cross-multiply:
x = 100 * 2
Simplifying:
x = 200
Therefore, 50 is 200% of 25.
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For the arithmetic sequence beginning with the terms {-1, 2, 5, 8, 11, 14...}, what is the sum of the first 16 terms?
Answer:
S₁₆ = 344
Step-by-step explanation:
the sum to n terms of an arithmetic sequence is
\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = - 1 and d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3 , then
S₁₆ = \(\frac{16}{2}\) [ (2 × - 1) + (15 × 3) ]
= 8 (- 2 + 45)
= 8 × 43
= 344
There are 3 sets of balls numbered 1 through 8 placed in a bowl. If 3 balls are randomly chosen without replacement, find the probability that the balls have the same number. Express your answer as a fraction
there are 3 sets of balls numbered 1 through 8
therefore the total number of balls is 24 and appears 3 times
first, we can select one ball there are 23 balls are left.
if we can select two balls there are 22 balls are left.
so that, the probability of selecting 3 equal balls is:
\(\begin{gathered} P=\frac{2}{23}\times\frac{1}{22} \\ P=\frac{1}{253} \end{gathered}\)hence the probability P=1/253
CL 6-153
In 2012 the average cost for a new midsized car was about
$31,000. New car prices tend to go up about 2% every year.
a. What is the multiplier for this situation?
b. If this trend continues, what will the cost be in 4 years?
c. Write an equation to calculate the cost in n years. What does
each of the factors in your equation represent?
Answer:
A) The multiplier for this situation is 0.02.
B) The cost in 4 years will be $ 33,555.39.
C) 31,000 x 1.02 ^ N = X
Step-by-step explanation:
Since in 2012 the average cost for a new midsized car was about $ 31,000, and new car prices tend to go up about 2% every year, to determine what is the multiplier for this situation, what will the cost be in 4 years if this trend continues and to write an equation to calculate the cost in n years the following calculations must be performed:
A)
31,000 x 2/100 = X
31,000 x 0.02 = X
Thus, the multiplier for this situation is 0.02.
B)
31,000 x 1.02 ^ 4 = X
33,555.39 = X
Thus, the cost in 4 years will be $ 33,555.39.
C)
31,000 x 1.02 ^ N = X
Here, N represents the number of years over which the price increase will be calculated, and X represents the price after that number of years.
Whoever answers first can get brainliest!
Answer:
d
Step-by-step explanation:
HELP ME!!!!!
Solve. −n/2 + 3/8 = −6 7/8 Enter your answer as a mixed number in simplest form in the box.
water is dripping from a faucet into a glass. The table shows the amount of water (cm3) in the glass, f(x) after x minutes.
Answer:
i only did 11 to 14 so i hope you like it
and sorry for the mess to
Step-by-step explanation:
Answer: I think it’s B
Step-by-step explanation:
What is the product?
3.[ 1 -4 5 -7]
a. [3 -12 15 -21]
b. [4 -1 8 -4]
c. [3 12 15 21]
d. [4 -12 8 -21]
Answer:
(a) [3 -12 15 -21]
Step-by-step explanation:
Given;
3.[ 1 -4 5 -7]
The product of the function is calculated as;
3.[ 1 -4 5 -7] = [1 x 3 -4x3 5x3 -7x3]
= [3 -12 15 -21]
Therefore the correct option is "a" [3 -12 15 -21]
Simplify:
O
O
O
O
(3) ²
9
4
9
(())
9
< Previous
-12
-7
9
(4)
-3
6help
The simplified form of the given expression is, \(((\frac{4}{9} )^-^4)^-^3(\frac{4}{9})^-^5 = (\frac{4}{9} )^7\).
What is simplifying an expression?
To simplify an expression, create an equivalent expression without any terms that are similar. The expression will then be rewritten using the fewest terms possible.
Consider, the given expression,
\(((\frac{4}{9} )^-^4)^-^3(\frac{4}{9})^-^5\)
To simplify this using the exponent rule:
\(((a)^b)^c = a^b^.^c\)
⇒
\(((\frac{4}{9} )^-^4)^-^3(\frac{4}{9})^-^5 = (\frac{4}{9})^(^-^4^*^-^3)(\frac{4}{9})^-^5\\ ((\frac{4}{9} )^-^4)^-^3(\frac{4}{9})^-^5 = (\frac{4}{9})^1^2(\frac{4}{9} )^-^5\)
Now use the exponent rule:
\(a^ba^c = a^(^b^+^c^)\)
⇒
\(((\frac{4}{9} )^-^4)^-^3(\frac{4}{9})^-^5 = (\frac{4}{9} )^(^1^2^-^5^)\\((\frac{4}{9} )^-^4)^-^3(\frac{4}{9})^-^5 = (\frac{4}{9} )^7\)
Hence, the simplified form of the given expression is, \(((\frac{4}{9} )^-^4)^-^3(\frac{4}{9})^-^5 = (\frac{4}{9} )^7\).
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brainly the following stem-and-leaf plot shows the on-record attendance for regional charity drive meetings
What is the mode?
A.)48
B.)84
C.)70
D.)66
Answer:
what does the stem-and-leaf plot look like?
please help me understand this problem
Answer:
simple draw an imaginary line an find both area or calculate l1,l2,b1,b2
what is 8/9 divied by 6
Answer:
0.14
Step-by-step explanation:
Each of the following describes a variable expression.
1. The area of a rectangle that is (x + 2) units long and 4 units wide.
4(x + 2)
2. The perimeter of a rectangle that is (x + 3) units long and (x + 1) units wide.
2(x + 3) + 2(x + 1)
3.
The volume of a rectangular prism that is 2 units long, 1 unit wide, and (2x + 4) units high.
2(1)(2x + 4)
which two are equivalent
Both equations are equal since they both reduce to 4x + 8 as the surface area of a rectangle with dimensions of (x + 2) units and (4 units).
what is expressions ?An expression in mathematics is made up of various elements, including numbers, variables, and mathematical operations like addition, subtraction, multiplication, division, exponents, and roots. Expressions can represent a single number or a group of numbers, and they can be simple or sophisticated. For instance, the phrase 3x + 2 denotes a linear equation with the variable x. The expression (x + 3)(x - 4) denotes the sum of two binomials.
given
First and third expressions are interchangeable.
the surface area of a rectangle with dimensions of (x + 2) units and (4 units).
Area is equal to length times breadth.
Area = 4x + 8x + (x + 2) x 4a rectangular prism with dimensions of 2 units long, 1 units broad, and (2x + 4) units high has a volume of 4 units.
Volume is calculated using the formula LWH.
Volume equals 2 x 1 x ((2x + 4))
Volume equals 2(2x + 4)
Volume = 4 times Plus 8
Both equations are equal since they both reduce to 4x + 8 as the surface area of a rectangle with dimensions of (x + 2) units and (4 units).
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The first part of the trip was in a surrey at 8 mph, and the last part was in a buckboard at 12 mph. If the total trip was 104 miles and took 10 hours, how much of the trip was made in each type of carriage?
Answer:
4 hours at 8 mph and 6hours at 12 mph.
Step-by-step explanation:
8t + 12(10-t) = 104
8t + 120 - 12t = 104
4t = 16
t = 4
The trip made on surrey was for 4 hours and on buckboard was for 6 hours.
What is speed?Speed is a scalar quantity that refers to "how fast an object is moving." Speed can be thought of as the rate at which an object covers distance.
Given that, the first part of the trip was in a surrey at 8 mph, and the last part was in a buckboard at 12 mph and the total trip was 104 miles and took 10 hours,
Speed = distance / time
Let t be the time,
Therefore,
8t + 12(10-t) = 104
8t + 120 - 12t = 104
4t = 16
t = 4
Therefore, we get, 4 hours at 8 mph and 6 hours at 12 mph.
Hence, the trip made on surrey was for 4 hours and on buckboard was for 6 hours.
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What is the best way to learn percentage?
Answer: To write a percentage as a decimal, simply divide it by 100. For example, 50% becomes 0.5, 20% becomes 0.2, 1% becomes 0.01 and so on. We can calculate percentages using this knowledge. 50% is the same as a half, so 50% of 10 is 5, because five is half of 10 (10 ÷ 2).
Step-by-step explanation:
Find the
vertex of this
quadratic.
([?], [ ]
2
1
X
-4 -3 -2 -1 0 1 2 3 4
-1
-2
-3
-4
Answer:
The vertex of the parabola is \(V(x,y) = (0, 3)\).
Step-by-step explanation:
In this case, the vertex of the parabola is the absolute maximum of the graph, that is, the point \(V(x,y) = (0, 3)\). Mathematically speaking, the vertex of the parabola is represents the only point of the range (\(y\)) which is related to an only value of the domain (\(x\)).
If there are 13 pretzels in each cup, How many pretzels does He eat?
Answer:
Step-by-step explanation: