Answer:
20
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/geometry-plane/distance-two-points.php
write the formula of sin2A in terms of cotA
Step-by-step explanation:
The formula of sin 2A in terms of cotA is
[tex] \frac{2cot \: a}{1 + {cot}^{2} a} [/tex]
Hope it will help :)❤
Answer:
the formula of sin2A in terms of cotA is
2cotA/1+ cot²A
hope it is helpful to you
What is the sum of 3 sides?
The sum of the three sides of the triangle is 24.
The sum of three sides of a triangle is calculated using the formula S = a + b + c, where a, b, and c are the lengths of each side of the triangle.
To calculate the sum of three sides of a triangle, first measure the lengths of each side and assign a value for each side. For example, if the lengths of the sides are 6, 8, and 10 respectively, then the values for each side would be a = 6, b = 8, and c = 10.
Next, plug in the values of the sides into the formula S = a + b + c to calculate the sum:
S = 6 + 8 + 10
S = 24
Therefore, the sum of the three sides of the triangle is 24.
Learn more about triangle here:
https://brainly.com/question/2773823
#SPJ4
An initial deposit of $5,000.00 is made into a savings account that compounds 7.1 % interest annually . How much is in the account at the end of five years ?
Answer:
$7045
Step-by-step explanation:
Given data
Principal= $5,000.00
Rate= 7.1%
Time= 5 years
The expression for the compound interest is
A=P(1+r)^t
Substitute
A= 5000(1+0.071)^5
A= 5000(1.071)^5
A= 5000*1.409
A= $7045
Hence the amount in the account after 5 years is $7045
What is the estimated perimeter of an ellipse if the major axis has a length of 15 ft and the minor axis has a length of 7.5 ft
The estimated perimeter of an ellipse if the major axis has a length of 15 ft and the minor axis has a length of 7.5 ft id found to be 37.3 feet .
Perimeter is calculated as
= 2*pi*r*r
= 2 *3.14 * sqrt (15/2² +7.5/2²)/2
= 6.28 x sqrt (56.25+14.0625/2 6.28) *sqrt (35.15625) 6.28 * 5.929270613
= 37.235 feat
An ellipse is the locus of all the points on a plane whose distances from two fixed points in the plane are always same. The fixed points, which are encompassed by the curve, are known as foci , singular of focus.
The constant ratio is the eccentricity of the ellipse and the fixed line is directrix. Eccentricity is an element of ellipse which denotes elongation and is symbolized by the letter 'e'.
To learn more about ellipse
brainly.com/question/19507943
#SPJ4
11. On a math test Ryan got 15% of the questions incorrect. If there were 40 questions on the spelling test then how many questions did Ryan get correct?
Answer:
34
Step-by-step explanation:
100-15=85 (15 was the percentage of incorrect so you want the percentage of correct answers)
40*.85=34
oop its just 15% of 40...
15/100 x 40 =6
but these are the ones he got incorrect! he got 40-6 = 34 correct
yw!
Each side of a square is increasing at a rate of 7 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the square is 81 cm2
At the rate of 126cm/s is the area of the square increasing when the area of the square is 81cm2.
If each side of a square is increasing at a rate of 7 cm/s.
The area of the square increasing rate,
Area, A = s2
each side of the square is increasing at the rate of 7cm / s (= dx / dt).
s is the side length
=> dA/dt = 2s. ds/ dt
ds/dt = 7cm/s
Area of the square = 81 cm2
81 cm2 = s2
s = 9 cm
so, dA /dt = 2. 9. 7
= 126 cm2/s
To learn more about calculus method to find the area of square please visit:
https://brainly.com/question/16172351
#SPJ4
Triangle ABC is similar to triangle A′B′C′. Calculate the length of the missing sides. FAST!!!
Step-by-step explanation:
s=squared
Cs=As+Bs
Cs=4s+3s
Cs=16+9
cs=25
C is the square root Cs
25= 5
AB=5
Mr. and Mrs. Nelson hope to send their daughter to college in twelve years. How much money should they invest now at an interest rate of 9.5% per year,
compounded continuously, in order to be able to contribute $8500 to her education?
Do not round any intermediate computations, and round your answer to the nearest cent.
Answer:$9690
Step-by-step explanation:
P=$8500
T=12 years
R=9.5%
P*T*R/100
8500*12*9.5/100=$9690
A babysitter earns $8 an hour for babysitting 2 children and an additional $3 tip when both children are put to bed on time. If the babysitter gets the children to bed on time, what expression could be used to determine how much the babysitter earned?
Which ordered pairs are in the solution set of the system of linear inequalities?
y2-3x+2
y < 2x + 3
-6-5
-3-
(2. 2) (3. 1) (42)
The ordered pairs that are in the solution set of the system of linear inequalities are (2 ,2), (3 , 1) and (4 , 2).
What is system of equations?A finite collection of equations for which we searched for the common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system.
Given the system of linear inequalities:
y > -3x + 2
y< 2x + 3
Substitute the value of x and y for each given ordered pair.
For (2, 2) x=2 and y =2:
y > -3x + 2
2 > -3(2) +2
2> -4 True.
y< 2x + 3
2 < 2(2) +3
2< 7 True
For (3, 1) x=3 and y=1:
1 > -3(3) + 2
1 > -7 True
y< 2x + 3
1 < 2(3) + 3
1< 9 True
For (4 , 2) x=4 and y =2
y > -3x + 2
2 > -3(4) +2
2 > -10 True.
y< 2x + 3
2 < 2(4) + 3
2 < 11 True.
Hence the ordered pairs (2 ,2), (3 , 1) and (4 , 2) are in the solution set of the system of linear inequalities.
Learn more about system of equations here:
https://brainly.com/question/12895249
#SPJ4
i need the correct answer only 2 try’s and due in 15 min
The sample space between A to C is A,B,C
What is the probability?The likelihood that a sample point will occur is quantified by its probability.
The likelihood of a sample point
According to tradition, statisticians have adopted the following guidelines.
Any sample point's probability can be between 0 and 1.
The probability of every sample point in a sample space added together is 1.
Let's say we run a straightforward statistical experiment. One coin is flipped. Heads or tails are the possible results of the coin flip. These results taken as a whole serve as our experiment's sample space. Each result stands in for a single sample point in the sample space. What is each sample point's probability?
Solution: the total of all sample points' probability
To be learn more about experiment refer to:
https://brainly.com/question/11480093?referrer=searchResults
#SPJ1
An octagonal prism (shown) has __________ faces and ___________ vertices. Question 20 options: A) 16, 10 B) 10, 16 C) 8, 10 D) 6, 8
With 10 faces and 16 vertices, an octagonal prism is depicted.Two octagonal bases and eight rectangular sides define an octagonal prism, which has two of each shape.
Do octagonal prisms have eight vertices?An octagonal prism therefore has 10 faces, 24 vertices, and 16 vertices.Two octagonal bases and eight rectangular sides define an octagonal prism, which has two of each shape. 16 vertices, 10 faces, and 24 edges make up its surface.Eight of the nine vertices of an octagonal pyramid are found where the triangle faces of the base meet, while the ninth vertex is found where the triangular faces of the pyramid's top meet.There are 8 faces on an octahedron, which is a polyhedron. The octahedron shape of a hexagonal prism is defined by its 8 faces, which include its 2 bases and 6 sides.With 10 faces and 16 vertices, an octagonal prism is depicted. Two octagonal bases and eight rectangular sides define an octagonal prism, which has two of each shape.To learn more about octagonal prism refer to:
https://brainly.com/question/11461768
#SPJ4
Amrita divides a circular disc of radius 7 cm in two equal parts. What is the perimeter of each semicircular shape disc? (USE π=22/7 )
The perimeter of each semicircular shape disc created by Amrita by dividing a circular disc of radius 7 cm into two equal parts is 44 cm. This is calculated by multiplying the circumference of the circle (2πr = 2 × 22/7 × 7 = 44 cm) by half.
Amrita divided a circular disc of radius 7 cm into two equal parts. This created two semicircular shape discs
Step 1: Calculate the circumference of the original circle.
Circumference of a circle = 2πr
Circumference of the circle with a radius of
7 cm = 2πr = 2 × 22/7 × 7 = 44 cm
Step 2: Calculate the perimeter of each semicircular shape disc.
The semicircular shape discs are created by dividing the original disc into two equal parts. Therefore, the perimeter of each semicircular shape disc is half of the circumference of the original circle.
Perimeter of each semicircular shape disc
= 44 cm/2
= 22 cm
Learn more about radius here
https://brainly.com/question/15047456
#SPJ4
What is the percent change from 15.5 to 70?
Answer:
First, you need to calculate your grade in percentages. The total answers count 70 - it's 100%, so we to get a 1% value, divide 70 by 100 to get 0.70. Next, calculate the percentage of 15: divide 15 by 1% value (0.70), and you get 21.43% - it's your percentage grade.
Step-by-step explanation:
La derivada de f(x)=3x^2-5x+2
Answer:
6x-5
Step-by-step explanation:
[tex]b^n=nb^{n-1}\\3x^2-5x+2=2*3x^{2-1}-5*1*x^{1-1}+0\\6x-5[/tex]
Answer:
La derivada de la función es: [tex]\bold{f'(x)=6x-5}[/tex]
Step-by-step explanation:
Recordemos que la derivada de
Una suma es igual a la suma de las derivadas: [tex][a + b + c]'=[a]'+[b]'+[c]'[/tex]Una constante es cero: [tex][k]'=0\;\;,\;\;\;\;\text{si}\;\;k=\text{constante}[/tex]Un producto es: [tex][ab]' = [a]'b + a[b]'[/tex]Una potencia: [tex][a^n]'=na^{n-1}[/tex]La derivada de la función [tex]f[/tex] con respecto a [tex]x[/tex] es definida como
[tex]f'(x)=\frac{df}{dx}\\f'(x)=\frac{d}{dx}(3x^2-5x+2)\\f'(x)=\frac{d}{dx}(3x^2)-\frac{d}{dx}(5x)+\frac{d}{dx}(2)[/tex]
donde
[tex]\frac{d}{dx}(3x^2)=\frac{d}{dx}(3)\,x^2+3\,\frac{d}{dx}(x^2)=(0)\,x^2+3\,(2x^{2-1})=0+3\,(2x^1)=6x[/tex][tex]\frac{d}{dx}(5x)=\frac{d}{dx}(5)\,x\;+\;5\,\frac{d}{dx}(x)=(0)\,x+5\,(1x^{1-1})=0+5\,(x^0)=5(1)=5[/tex][tex]\frac{d}{dx}(2)=0[/tex]Por lo tanto,
[tex]f'(x)=\frac{d}{dx}(3x^2)-\frac{d}{dx}(5x)+\frac{d}{dx}(2) \\f'(x)=6x-5+0 \;\;\;\;\;\Rightarrow\;\;\;\;\; \bold{f'(x)=6x-5}[/tex]
if the curved surface area of a cylinder is two-third of the total surface area and radius of the base is 6cm,find the height of the cylinder
Answer:
Height of cylinder = 12 cm
Step-by-step explanation:
Given:
Radius of cylinder = 6 cm
Curved surface area of cylinder = [2/3][Total surface area of cylinder]
Find:
Height of cylinder
Computation:
Curved surface area of cylinder = [2/3][Total surface area of cylinder]
2πrh = [2/3][2πr(h + r)]
h = 2h/3 +[2/3][6]
h - 2h/3 = 4
[3h - 2h] / 3 = 4
h = 12
Height of cylinder = 12 cm
Can you guys answer the top question thanks?
The required solution are as follows,
(A) Kyra's equation of line, passes through 15 pts.
(B) Liam's equation of line, passes through 20 pts.
(C) the equation of line passes through 30 pts is y = 4/3x + 5.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
here,
Drawing the graph on the graph and evaluating which line pass through which points,
(A)
Kyra's equation of a line is y = 1/2 x
And from the graph, it is seen that the line passes through 15pts
Similarly,
(B) passes through 20 pts
(C)
from the graph, it is seen that equation y = 4/3x + 5 passes through 30 points.
Learn more about lines here:
brainly.com/question/2696693
#SPJ1
Boxes A and B contain some counters.
6y + 2
counters
Box A
Clip A19b
4y + 6
counters
Box B
The number of counters in each box is the same.
Work out the value of y
Find a Clip
106
Please give me the answer it’s really hard no one will help
By simple algebra, The number of counters in each box is 2.
What is Algebra?Algebra is the study of mathematical symbols and the methods for incorporating them into formulas.
Why is algebra so difficult?Since algebra is the first math subject most students take where they must deal with variables, complex concepts, and problem-solving abilities, many find it scary.
Given,
counter in Box A = 6y+2
counter in Box b=4y+6
Since there are the same amount of counters in both boxes.
hence
6y+2=4y+6
6y-4y=6-2
2y=4
y=2
To know more about algebra visit:-
brainly.com/question/24875240
#SPJ1
Select the correct answer from each drop-down menu. Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width. The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height. Complete the equation that models the volume of the tray in terms of its width, x, in centimeters. 5 x2 + 3 x = 252 Is it possible for the width of the tray to be 7.5 centimeters?
Answer:
w = 7 cm
Step-by-step explanation:
Volume = 252 cm³
Height, h = 3cm
Let width = w
Length, l = w + 5
Volume of rectangular prism, V = l * w * h
252 = (w + 5) * w * 3
252 = (w + 5) * 3w
252 = 3w² + 15w
3w² + 15w - 252 = 0
w² + 5w - 84 = 0
w² + 12w - 7w - 84 = 0
w(w + 12) - 7(w + 12) = 0
(w + 12) = 0 or (w - 7) = 0
w = - 12 or w = 7
w cannot be negative
Hence, w = 7 cm
Amar and his friends went to a movie at 6:55 P.M. The movie ended at 8:30 P.M.
How long was the movie?
Answer: The movie was 1 hour and 35 minutes long
How do you find the hypotenuse of a 45 45 90 triangle?
The 45, 45, and 90 triangle is a type of isosceles triangle where the two legs are the same as each other and other non-right angles are both 45 degrees. Most of the time, Pythagoras' theorem is used for finding out the missing legs and hypotenuses of 45, 45, and 90 triangles.
The hypotenuse of a 45 45 90 triangle is calculated as the square root of the length of the leg.
We plug the known length of the leg into our 45-45-90 theorem formula:
Hypotenuse = leg * (√2)
Properties of 45-45-90 triangles :
To point out the 45-45-90 special right triangle, check for these three identifying properties:
The polygon is an isosceles right triangle.The two side lengths are congruent, and their opposite angles are also congruent.The hypotenuse (longest side) is the length of either leg times the square root (sqrt) of two, √2.Read more about the isosceles triangle:
https://brainly.com/question/25812711
#SPJ4
what is x if 2/6+x=11/18
Answer:
multiply top and bottom of 2/6 to get 6/18, then subtract the answer by 6/18 , you get 5/18
Step-by-step explanation:
Answer:
x = 5/18
Step-by-step explanation:
what is x if 2/6+x=11/18
2/6 + x = 11/18
x = 11/18 - 2/6
x = 5/18
----------------------------
check2/6 + 5/18 = 11/18
11/18 = 11/18
The answer is good
. Find sin D , sin E , cos D , and cos E . Write each answer as a fraction in simplest form.
The trigonometric functions are sin D = 28/53, sin E = 45/53, cos D =45/53, and cos E = 28/53 as fractions.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
The trigonometric functions are given in the question
Apply the sine ratio on the given right triangle
⇒ sin(θ) = Perpendicular/hypotenuse
sin D = EF/DE
sin D = 28/53
sin E = DF/DE ,
sin E = 45/53
Apply the cosine ratio on the given right triangle
⇒ cos(θ) = Base/hypotenuse
cos D = DF/DE
cos D =45/53
cos E = EF/DE
cos E = 28/53
Learn more about Trigonometric functions here:
brainly.com/question/6904750
#SPJ1
Jessica earned $16 mowing a neighbor's yard. She bought a craft kit for $7.37. She used $3.75 to buy food for a food drive. She put the rest in her savings account. How much money did Jessica put in her savings account?
Answer:
$4.88
Step-by-step explanation:
Jessica made $16 mowing a neighbors yard
She brought a craft kit for $7.37
16-7.37
= 8.63
She used $3.75 to buy food for a food drive
8.63-3.75
= 4.88
Hence the amount Jessica put in the savings account is $4.88
Answer:$ 4.88
Step-by-step explanation: I hope this is right
The sun of a number, x, and 1/2 is equal to 4. What set of equations correctly repaints x
The set of equations correctly representing x are as follows:
(x + 1/2) and (x = 7/2).
What exactly is a set or group of equations?A set or group of equations that you solve all at once is referred to as a "system" of equations. The simplest linear system is one that has two equations as well as two variables. Linear equations (those that graph as straight lines) are easier to understand than non-linear ones.
What is the name of an equation system?Systems of equations in mathematics are a collection of relationships between different unknown variables that can be stated in terms of algebraic expressions. They are also known as simultaneous equations. Graphing, substitution, as well as elimination by addition, are methods that can be used to find the solutions to a basic system of equations.
According to the given information:Sum means addition (+).
Given that sum of a number, x and 1/2 is 4.
This means the adding two numbers
x+1/2=4
Now make x the subject of formula,
x=4-1/2
Finding the L.C.M = 8-1/2
x=7/2
∴ x=3 1/2
To learn more about set of equations, visit:
brainly.com/question/25976025
#SPJ1
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
:;;;,,,
Step-by-step explanation:
^^^^^^^^^!!~~~
What does 5 mean in maths?
5 (five) is a number, numeral, and digit.
It is a prime number and the natural and cardinal number that comes after 4 and before 6. Because most people have five digits on each hand, it has gained significance throughout history.
5 is the second super-prime and third-smallest prime number. It is the first of three known Wilson primes, the first good prime, the first balanced prime, and the first safe prime. The number five is also the third Catalan number, the third Sophie Germain prime, the third exponent of the third Mersenne prime, and the second Fermat prime.
To learn more about number here:
https://brainly.com/question/17429689
#SPJ4
Donny is raising money for the school charity drive by mowing lawns for $9.75 per lawn. How much will he raise for the drive?
is this proportional or non proportional and why.
For two numbers to be proportional, they need to be directly increasing or decreasing in a constant ratio.
If Donny makes $9.75 per lawn, we can make a table that looks like this:
1 Lawn = $9.95
2 Lawns = $19.90
3 Lawns = $29.85...
And so on.
You can see this is proportional because it has a constant ratio between both elements.
(1 to 9.95)
So, it is proportional.
What is:
(7*8) + (42-8) / 4
Answer:
5.5
Step-by-step explanation:
7*8=56
42-8=34
56-34=22
22/4=5.5
Someone help me please.
Find the volume of the sphere. Leave the answer in terms of Pi and as a fraction
Answer:
I got chuuuu
————————-