Answer:
96 degrees
Step-by-step explanation:
When finding the arc from a non central angle, multiply it by 2
Use sigma notation to represent the following series for the first 10 terms.
3 + (-6) + 12 + (-24) + ⋯
Answer:
The sum of 10 terms is S₁₀ = -1023
Step-by-step explanation:
Explanation:-
Given series
3 + (-6) + 12 + (-24) + ⋯
This is geometric sequence 3 , -6 ,12 , -24 ,....
a = 3 and common ratio [tex]r = \frac{-6}{3} = -2[/tex]
Given ratio r = -2 < 1
Sum of 'n' terms of a G.P
[tex]S_{n} = \frac{a(1-r^{n} ) }{1-r} if r <1[/tex]
Sum of '10' terms of a G.P
[tex]S_{10} = \frac{3((1-(-2 )^{10} }{1-(-2)}[/tex]
[tex]S_{10} = \frac{3((1-(-2 )^{10} }{3} = 1-2^{10} = 1- 1024 = - 1023[/tex]
Conclusion:-
Sum of '10' terms of a G.P = - 1023
Verification:-
The series of first 10 terms
3+(-6)+12+(-24)+48+(-96)+192+(-384)+768+(-1536) = -1023
The coordinates for a quadrilateral are (0, 0), (-1, 2), (1, 6) and (2, 4). Determine the type of quadrilateral.
Group of answer choices
Parallelogram
Square
Rhombus
Rectangle
Answer:D is a rectangle
Step-by-step explanation:
Your macaroni and cheese recipe calls for 1 2/3 cups of milk. You're having company and you need to quadruple the recipe. How much milk will you need?
Answer:
4 2/3
Step-by-step explanation:
For the quadrupled recipe, you will need 6 2/3 cups of milk.
Here, we have,
To quadruple the macaroni and cheese recipe,
we need to multiply the original recipe measurements by 4.
The original recipe calls for 1 2/3 cups of milk.
To find out how much milk is needed for the quadrupled recipe, we can multiply 1 2/3 by 4:
1 2/3 * 4
= (5/3) * 4
= 20/3
= 6 2/3
Therefore, for the quadrupled recipe, you will need 6 2/3 cups of milk.
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Segment Line segment X Y is dilated using a scale factor of Two-thirds through P. Which segment shows the correct result of the dilation?
Answer:
We need the segments but which ever one has the segment that is 2/3 times the length of segments xy
Step-by-step explanation:
Answer: line c
Step-by-step explanation: I got it correct
Correct answers only please!
Correct answers only!
To the nearest cent, how much will she have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$ 6.30
Step-by-step explanation:
A = P + I where
P (principal) = $ 6.00
I (interest) = $ 0.30
A = P(1 + r/n)nt
Julio is doing an experiment in science class where he tests how high a ball bounces when it is dropped from 1 meter.
He tests several balls made of different materials and records the results. The results are shown below.
85 cm, 83 cm, 57 cm, 89 cm, 62 cm, 68 cm, 91 cm, 22 cm, 28 cm, 58 cm, 37 cm, 41 cm, 36 cm, 59 cm, 88 cm, 54 cm, 76 cm, 90 cm
Use the drop-down menus to explain how to choose the intervals for a frequency table to represent the data.
The data values have a spread of centimeters. Intervals with a range of centimeters are reasonable.
Gets THE BRANLIeST QUICKLY ANSWER AND I WILL GIVE YOU ALL MY POINTS!!!!!!!!!!!!!!!!ASAP
Answer: The data values have a range of 70 centimeters. Intervals with a range of 10-20 centimeters should be reasonable.
Answer:
it might be
69
10-20
Derrick surveyed a random sample of 100 students from his middle school to learn more about what type of school lunches are preferred. The table below shows the result of the survey:
Hamburgers Spaghetti Pizza
Sample #1 43 13 44
Sample #2 41 20 39
Which of the following inferences can be made based on the data? (5 points)
Pizza is the most preferred lunch.
Spaghetti is two times more popular than pizza.
Hamburgers and pizza are preferred almost equally.
Spaghetti is two times more popular than hamburgers.
Answer:
Hamburgers and pizza are preferred almost equally.
Step-by-step explanation:
Both numbers are very close to each other
in a certain algebra class of 26 students, 16 of them play basketball and 9 of them play baseball. there are 5 students who play both sports. what is the probability that a student chosen randomly plays basketball or baseball
Answer:
3/26 students or 11%
Step-by-step explanation:
Answer:
8/9
Step-by-step explanation:
24/27 = 8/9
Calcula la altura de Juan sabiendo que proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80 metros proyecta una sombra de 2,25 metros.
Answer:
La altura de Juan por lo tanto es de 1.6 metros de altura
Step-by-step explanation:
Segun los datos que se encuentran en el ejercicio, tenemos lo siguiente:
Juan proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80.
Supongamos que x es la altura de juan que tenemos que calcular.
La altura de Juan por lo tanto la podemos calcular de la siguiente manera con la siguiente formula:
x= (1.8 metros/2.25 metros)*2
x=1.6 metros
La altura de Juan por lo tanto es de 1.6 metros de altura
A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number less than 5?
Write your answer as a fraction in simplest form.
Answer & Step-by-step explanation:
On a six-sided die, there are 4 numbers less than 5. So, we can write this as a fraction.
[tex]\frac{4}{6}[/tex] or we can write this fraction as [tex]\frac{2}{3}[/tex]
So, the probability of rolling a number less than 5 is [tex]\frac{2}{3}[/tex]
The reciprocal of the cosine is the ___.
A. secant
B. tangent
C. sine
D. cotangent
Answer:
The correct answer is A
Step-by-step explanation:
The secant is the distance from the center to the vertical tangent in a certain direction.
Answer:
A. secant
Step-by-step explanation:
For trigonometric ratios, we know that cosine is [tex]\frac{adjacent}{hypotenuse}[/tex]. The reciprocal of something is just flipped over. So the reciprocal of cosine is [tex]\frac{hypotenuse}{adjacent}[/tex], which is the ratio for secant.
Another way we can remember this is [tex]sec x = \frac{1}{cos x} \\\\cos x = \frac{1}{sec x}[/tex]
i just need this question
What is the slope of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,-7)(5,−7)left parenthesis, 5, comma, minus, 7, right parenthesis?
Answer:
-3/2
Step-by-step explanation:
We can find the slope between two points using
m = (y2-y1)/(x2-x1)
= (-7 - -1)/(5 - 1)
(-7+1(/(5-1)
-6/4
-3/2
Answer:
4
Step-by-step explanation:
i did khan :)
A square has a triangular hole in it. What is the area of the figure?
12 in
6 in.
4 in.
12 in
168 in 2
144 in 2
120 in 2
132 in 2
PLEASE HELP ME... ANYONE.... i am begging you. i will mark brainiest, whatever you want. please help...
Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books than she did on Tuesday. During the three days Rachel sold 19 books. Create an equation that can be used to find m, the number of books Rachel sold on Monday.
Equation:
plz make the answer in this format: x - y = z ( a number minus a number equals a number) thank you so much guys!!
Answer:
5m - 6 = 19Step-by-step explanation:
We are given:Monday x 2 = Tuesday
Tuesday - 6 = Wednesday
Lets say
Monday = m
Tuesday = t
Wednesday = w
m = m
2m = t
2m - 6 = w
Combine like terms: 5m - 6 = 19
Add 6 to both sides
5m = 25
Divide both sides by 5
m = 5
Plug it in the equations.
Monday = 5
Tuesday = 10
Wednesday = 4
Answer:
5x - 6 = 19
Step-by-step explanation:
At Subway sandwiches, how many different sandwiches can I make from 3 different types of bread, 5 different types of cheese, and 4 different types of meat?
Answer:
60 sandwiches
Step-by-step explanation:
In this case we must know that for each type of bread, it can be combined with each type of cheese and each type of meat, that is to say that the total amount of combinations would be, the amount of types of bread, for the amount of types of cheese for the amount of types of meat, that is to say:
3*5*4 = 60
That means there are a total of 60 ways to make different sandwiches
inverse of f(x)=50000(0.8)^x
Answer:
Step-by-step explanation:
bag of potatoes weighs 10 pounds what is the weight of the potatoes on ounce
Answer:
The potato is a root vegetable native to the Americas, a starchy tuber of the plant Solanum tuberosum, and the plant itself, a perennial in the family Solanaceae. Wild potato species, originating in modern day Peru, can be found throughout the Americas, from the United States to southern Chile.
Step-by-step explanation:
Answer:
160 ounces
Step-by-step explanation:
Explain the Pythagorean theorem.
A. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is greater than the square of its hypotenuse.
B. The Pythagorean theorem states that if the square of one side of a triangle is less
than the sum of the squares of the other two sides, then the triangle is a right triangle.
C. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs equals the square of its hypotenuse.
D. The Pythagorean theorem states that if the square of one side of a triangle is greater than the sum of the squares of the other two sides, then the triangle is a right triangle.
Answer:
I believe the answer is C
Step-by-step explanation:
Hope this helps you out!
Answer:
Step-by-step explanation:
c
The equation of a line in the point-slope form is show below.
y – 9 = 1/5(x-2)
What is the slope of this line?
Answer:
the answer is m = 1/5
Step-by-step explanation:
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The slope of the given equation of the line is 0.2.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c, slope intercept form
y - y₁ = m(x - x₁), point-slope form
where,
x and x₁ are the coordinates of the x-axis,
y and y₁ are the coordinates of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The equation of a line in the point-slope form is y–9=(1/5)(x-2). Therefore, the slope of the line is (1/5).
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i need heeellllpppppp
Answer:
20 cents per unit
Step-by-step explanation:
Since it is 1$ 5 pencils and 100/5=20, the unit cost is 20 cents
Answer:
the unit price is $0.20 for 1 pencil
Step-by-step explanation:
if u see 5 pencils cost 1 dollars and unit price means the value of one item, so like the cost of 1 pencil
write it as a ration of cost to pencil
the ratio is 1/5
now divided 5 on the top and the bottom to get the unit price
1 divided by 5= 0.2
so now the ratio is 0.2/1
another 1 will give crown to the correct answer
Answer:
4, know that in a slope-intercept form the coefficient of x is the slope.
Step-by-step explanation:
Answer:
Slope is 4
Step-by-step explanation:
A rectangular aquarium that is 3 inches wide, 9 inches long and 12 inches tall. If water is filled up to 9 inches, how much more water can be put in the aquarium to make it full
Answer:
81 inches^3
Step-by-step explanation:
The empty space at the top is
3 inches wide by 9 inches long by (12-9) inches tall
3*9*3 = 81 inches^3
Katherine wants to classify the quadrilateral below. Select all of the names that apply.
A. Quadrilateral
B. Square
C. Parallelogram
D. Rectangle
E. Rhombus
Answer:
a, c, and e
Step-by-step explanation:
quadrilateral= a four-sided figure
square= a plane figure with four equal straight sides and four right angles
parallelogram= a four-sided plane rectilinear figure with opposite sides parallel
rectangle= a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square
rhombus =a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides
Answer:
A,B,D
Step-by-step explanation:
I had this question on a test and these were the correct answers. So this is guaranteed correct!
Story: The Escalator Ratio Task: Ty took the escalator to the second floor. The escalator is 12 meters long, and he rode the escalator for 30 seconds. (Things to consider: 60 seconds = 1 minute; 60 minutes = 1 hour; 24 hours = 1 day). Question: True or False? He traveled 2 meters ever 5 seconds. Answer T or F and tell (or show) how you know you are correct.
Answer: True
Step-by-step explanation:
YES, HE TRAVELLED 2 METRES EVERY 5 SECONDS
PROOF:
TOTAL RIDE TIME = 30 SECONDS
Length of elevator = 12 METRES
Distance moved per second can be calculated by = (length of elevator / total ride time)
( 12 METRES / 30 seconds) = 0.4 metres per second
Therefore, distance covered in 5 seconds :
0.4 × 5 = 2 metres.
Hence, the proof
He traveled 2 meters ever 5 seconds
Sunglass shack is having a 30% off sale on sunglasses. Ann paid $32 for a pair of sunglasses. What was the original price?
Answer:
about $45.71
Step-by-step explanation
32/70%
32 x 100/70
32 x 10/7
320/7
$45.71
The original price would be $41.6.
Perform the following operation:
h(n) = 4n + 5
g(n) = 3n +4
Find (h - g)(n)
Answer:
n+1
Step-by-step explanation:
h(n) = 4n + 5
g(n) = 3n +4
(h - g)(n) = 4n + 5 - (3n +4 )
distribute the minus sign
= 4n +5 - 3n -4
Combine like terms
= 4n -3n +5-4
= n +1
Find the Area of the Triangle. A = 1/2 (b x h)
Answer:
A=1/2(b×h)
divide a half by 12=6
6×4,since 4 is the height=24
Answer:
30 um²
Step-by-step explanation:
BC = √5² - 4²
= √25 - 16
= √9
= 3 um
AC = 12 + 3 = 15 um
A = AC×BD/2
= 15×4/2
= 15×2
= 30 um²
Add or subtract by first changing the mixed numbers to improper fractions.
A: 3 1/3 + 5 3/4
Answer:
10/3 and 23/4
Step-by-step explanation:
Answer:
9 1/12
Step-by-step explanation:
3 1/3 + 5 3/4
Get a common denominator of 12
3 1/3*4/4 + 5 3/4 *3/3
3 4/12 + 5 9/12
8 13/12
8 + 12/12 + 1/12
8+1+1/12
9+1/12
9 1/12
Changing to improper fraction
3 1/3 = ( 3*3+1)/3 =10/3
5 3/4 = ( 4*5+3)/5 =23/4
Getting a common denominator
10/3 * 4/4 = 40/12
23/4 *3/3 =69/12
-------------
109/12
12 goes into 109 9 times
9*12 = 108 and that leaves 1 left over
9 1/12
What is the y- intercept of the graph shown that is below
Answer:
B
Step-by-step explanation:
The y- intercept is the point on the y- axis where the line crosses it
This point is y = 2
with coordinates (0, 2 ) → B
The line is crossing the y axis at (0,2)
What is intercept ?The x - intercept is where a line crosses the axis and the y intercept is the point where the line crosses the y - axis .
observing the graph it can be concluded that ,
The line is crossing the y axis where x = 0 and y = 2 , so the point is (0,2)
correct answer is c) (0,2)
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