Answer:
88
Step-by-step explanation:
mother's age = 12+24
= 36
father's age = 12+40
=52
add the parent age= 36+52
= 88
Select the correct answer. An inverse variation includes the point (2,12). Which point would also belong in this inverse variation? A. (3,-8) B. (-8,-3) C. (1,6) D. (-6,1)
Answer:
d
Step-by-step explanation:
Function (True/False)
Answer:
yes it is a function
Step-by-step explanation:
Mathematics
In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.
Answer:
False
Step-by-step explanation:
A function has only 1 y value for any given x value.
You can use the "vertical line test" to check if a graph is of a function. Move a vertical line (you can use the edge of a ruler) from left to right across the graph. If at any point the line intersects the curve in two or more places, the curve is not a function.
Someone can u help please! Thx
======================================================
Explanation:
The radius of the circle is r, which doubles to 2r to get the diameter. The diameter of the circle is also the diagonal of the square. Consequently, this means we have two right triangles in which they have the same hypotenuse of 2r.
Let x be the side length of the square. Use the pythagorean theorem to isolate x
a^2 + b^2 = c^2
x^2 + x^2 = (2r)^2
2x^2 = 4r^2
x^2 = 2r^2 ... divide both sides by 2
x = sqrt(2r^2) ... apply the square root to both sides; keep in mind that x > 0
x = sqrt(r^2*2)
x = sqrt(r^2)*sqrt(2)
x = r*sqrt(2)
The side length of the square is r*sqrt(2)
Therefore, the area of the square is
Area = (side)*(side)
Area = ( r*sqrt(2) )*( r*sqrt(2) )
Area = r*r * sqrt(2)*sqrt(2)
Area = r^2 * sqrt(2*2)
Area = r^2 * sqrt(4)
Area = r^2 * 2
Area = 2r^2
This problem is kinda hard for me can you please help
Answer:
A
Step-by-step explanation:
If the post of the fence is 10 feet long. And we know that 3(1/3) of the fence is underground. We just need subtract 3(1/3) from 10.
10-3=7
7-(1/3)=6(2/3)
a fraction is such that the numerator is 2 less than the denominator if you add 3 to the numerator and 5 to the denominator the resulting fraction is 3/5 find the fraction
Answer:
The required fraction is 3/5
Answer: 3/5
Step-by-Step Explanation:
Let x represent the denominator of the fraction, then we have [tex]\dfrac{x-2}{x}[/tex]
Now add 3 to the numerator and 5 to the denominator and set it equal to 3/5:
[tex]\dfrac{(x-2)+3}{(x)+5}=\dfrac{3}{5}\\\\\\\text{Simplify:}\\\dfrac{x+1}{x+5}=\dfrac{3}{5}\\\\\\\text{Cross Multiply and solve for x:}\\5(x+1)=3(x+5)\\5x+5=3x+15\\2x=10\\x=5[/tex]
Substitute x = 5 into the original fraction:
[tex]\dfrac{(5)-2}{(5)}\quad =\large\boxed{\dfrac{3}{5}}[/tex]
Ten points! Solve for x: 1 < x + 3 < 4
4 > x > 7
4 < x < 7
−2 > x > 1
−2 < x < 1
Brainly, please don't remove the 4 in the equation, and the first and last answers like last time
brainly you did it again
actually, it's very easy all u have to do is minus 3 from every number (not x) and you'll easly get -2 < x < 1
If u see this pls give me brainliest
The solution of the provided inequality equation is −2 < x < 1. Option D is the correct option, which says x is greater than number -2 but less than 1.
What is the inequality equation?Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
The inequality equation, which has to be solved for x is,
[tex]1 < x + 3 < 4[/tex]
In this equation, subtract 3 in each side of the equation,
[tex]1 -3 < x + 3-3 < 4-3[/tex]
Solve it further,
[tex]1 -3 < x + 3-3 < 4-3\\-2 < x < 1[/tex]
Thus, the solution of the provided inequality equation is −2 < x < 1. Option D is the correct option, which says x is greater than number -2 but less than 1.
Learn more about the inequality equation here:
https://brainly.com/question/17724536
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Joe and Danny have just won 350 arcade tickets. If each arcade game can be played with 12 tickets, how many will they have left over at the end of the day, if they play the maximum number of games?
Answer:
2 tickets left
Step-by-step explanation:
12✖️29=348
350-348=2
Answer:
If they play the maximum number of games, there will be two tickets left over.
Step-by-step explanation:
For this problem, I used long division.
350 divided by 12 comes out to be 29.
29 is the maximum number of games they could play.
29 times 12 is 348.
350 (the total number of tickets) minus 348 (number of tickets used) comes out to be two.
Hope this helps! Brainliest would really help me out :)
show a quadrilateral ABCD in A is(2,8) and B is (8,6) .the point c lies on the perpendicular bisector of AB and the point D lies on the y- axis. the equation of BC is 3y=4x-14 and angle DAB=90° find
(a) the equation of AD
(b) the coordinates of D
(c) the equation of perpendicular bisector of AB
(d) the coordinates of C
show the area of triangle ABC is 10 units and find the area of the quadrilateral ABCD
Answer:
(a) y = 3x + 2; (b) (0,2); (c) y = 3x - 8; (d) (2,-2)
(e) Area of ∆ABC = 30; (f) Area of ABCD = 40
Step-by-step explanation:
(a) Equation of AD
(i) Slope of AB
m₁ = (y₂ - y₁)/(x₂ - x₁) = (6 - 8)/(8 - 2)= -2/6 = -⅓
(ii) Slope of AD
m₂ = 3
(ii) y-intercept
y = 3x + b
8 = 3(2) + b= 6 + b
b = 2
The equation of AD is y = 3x + 2.
(b) Coordinates of D
The coordinates of D are (0,2).
(c) Equation of perpendicular bisector of AB
(i) Mid-points of AB
x = ½(x₂ + x₁) = ½(8 + 2) = ½(14) = 5
y = ½(y₂ + y₁) = ½(6 + 8) = ½(14) = 7
The coordinates of the mid-point are (5,7).
Slope = 3
y = mx + b
7 = 3(5) + b = 15 + b
b = 7 - 15 = -8
The equation of the perpendicular bisector is y = 3x - 8.
(d) Coordinates of C
C is at the intersection of BC and the perpendicular bisector of AD.
y = 3x - 8
3y = 4x - 14
3y = 9x - 24
0 = 5x - 10
5x = 10
x = 2
y = 3(2) - 8 = 6 - 8 = -2
The coordinates of C are (2,-2).
(e) Area of ∆ABC
A = ½bh = ½ × 10 × 6 = 30
(f) Area of ABCD
Area of ∆ACD = ½bh = ½ × 10 × 2 = 10
Area of ABCD = ∆ACD + ∆ABC =10 + 30 = 40
which ordered pair is a solution of the equation -3x+5y=2x+3y PLEASE HELP ASAP
Answer:
Every pair where y is equal x multiplied by 2.5for exapmle: (2, 5) {5=2•2.5}
(8, 20) {20=8•2.5}
(-5, -12.5} {-12.5=-5•2.5}
Step-by-step explanation:
-3x + 5y = 2x + 3y-3y+3x -3y+3x
2y = 5x÷2 ÷2
y = 2.5xAnswer:
neither
Step-by-step explanation:
Use a calculator to find the measure of
Answer:
mRT = 4√13 ≈ 14.42
mST = 10√2 ≈ 14.14
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Since we have right triangles, in order to find the missing side, we use Pythagorean Theorem:
mTR:
12² + 8² = c²
144 + 64 = c²
c² = 208
c = √208 = 4√13
mST:
15² = 5² + b²
225 - 25 = b²
b² = 200
b = √200 = 10√2
To get your decimals, simply evaluate the square roots:
4√13 = 14.4222
10√2 = 14.1421
Answer:
6. 56.3 degrees.
7. 70.5 degrees.
Step-by-step explanation:
6. We are given the opposite and adjacent side lengths, so we can use tangent to solve this (TOA = Tangent; Opposite over Adjacent).
tan(R) = 12 / 8
tan(R) = 3 / 2
R = cotan(3/2)
R = 56.309932474020213
So, the measure of angle R is about 56.3 degrees.
7. We are given the adjacent and the hypotenuse, so we can use cosine to solve this (CAH = Cosine; Adjacent over Hypotenuse).
cos(R) = 5 / 15
cos(R) = 1/3
R = sec(1/3)
R = 70.528779365509
So, the measure of angle R is about 70.5 degrees.
Hope this helps!
Please answer this question now
Answer:
541.67m²
Step-by-step explanation:
Step 1
We find the third angle
Sum of angles in a triangle = 180°
Third angle = Angle V = 180° - (63 + 50)°
= 180° - 113°
Angle V = 67°
Step 2
Find the sides x and v
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle VWX
v/ sin V = w/ sin W = x / sin X
We have the following values
Angle X = 50°
Angle W = 63°
Angle V = 67°
We are given side w = 37m
Finding side v
v/ sin V = w/ sin W
v/ sin 67 = 37/sin 63
Cross Multiply
sin 67 × 37 = v × sin 63
v = sin 67 × 37/sin 63
v = 38.22495m
Finding side x
x / sin X= w/ sin W
x/ sin 50 = 37/sin 63
Cross Multiply
sin 50 × 37 = v × sin 63
x = sin 50 × 37/sin 63
x = 31.81082m
To find the area of triangle VWX
We use heron formula
= √s(s - v) (s - w) (s - x)
Where S = v + w + x/ 2
s = (38.22 + 37 + 31.81)/2
s = 53.515
Area of the triangle = √53.515× (53.515 - 38.22) × (53.515 - 37 ) × (53.515 - 31.81)
Area of the triangle = √293402.209
Area of the triangle = 541.66614164081m²
Approximately to the nearest tenth = 541.67m²
the expression for the number of diagonals that we can make from one vertex of a n sided polygon is
Answer:
[tex]\frac{n(n-3)}{2}[/tex]
Step-by-step explanation:
Polygon Diagonals are a pattern that follows a specific rule which can be used through a specific formula. Remember that Math focuses on patterns to create equations that help to study them, and this case is not an exception.
The equation for polygon diagonals is
[tex]\frac{n(n-3)}{2}[/tex]
Where [tex]n[/tex] refers to the number of sides of the polygon.
You see, a diagonal is defined as the union between two non-consecutive vertices. For a convex n-sided polygon, there are going to be n vertices, and we can draw [tex]n-3[/tex] from each vertex, then we multiply this by [tex]n[/tex], because that's the total number of sides.
In the end, we divide by 2, because with the method described, we will have double number of diagonals.
Tyler and Katie started a lemonade stand to raise money. They donated 2/10 of their profits to their school library, 1/10 to the animal shelter, and 2/5 to the food bank. They saved the rest to buy materials for their next project. What fraction of their profits did Tyler and Katie donate to others?
Answer:
They donated 7/10 of their profits. This cannot be simplified any further.
mark me BRAINLIEST
Tysmm!!
Answer:
Step-by-step explanation:
2/10 and 1/10 are easily addable fractions so all you have to do is add the numerator to get, 3/10. After that you need to convert 2/5 into tenths so that you can continue to add it correctly. If you multiply the numerator and the denominator of 2/5 to convert it, you will get 4/10 to add.
Answer: 7/10
In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all directions. Assuming that the area polluted is a circle and that its radius is increasing at a rate of 3ft/sec, determine how fast the area is increasing when the radius of the circle is 30 feet. Hint: consider that the radius r is a function, and we know the rate of change of r with respect to time.
Answer:
180π ft/secStep-by-step explanation:
Since the area pollute sis assumed to be a circle, we will be using the formula for calculating the area of a circle to solve the problem.
Area of a circle A = πr²
r is the radius of the circle
The rate at which the area is increasing is expressed as dA/dt. According to chain rule, dA/dt = dA/dr*dr/dt where;
dr/dt is the rate at which the area is increasing.
If dA/dr = 2πr (by mere differentiation)
dA/dt = 2πr * dr/dt
Given dr/dt = 3ft/sec and r = 30feet
dA/dt = 2π(30) * 3
dA/dt = 180π ft/sec
Hence, the area is increasing at the rate of 180π ft/sec
Find the interquartile range for a data set having the five-number summary: 7.8, 17.1, 23.6, 31.1, 36.9
Answer:
Interquartile Range: 21.549999999999997 = 21.55
Step-by-step explanation:
The factor tree for 3,025 is shown. A factor tree starts with 3,025 at the top. 3,025 branches down to 5 on the left and 605 to the right. 605 branches down to 5 on the left and 121 on the right. 121 branches down to 11 on the left and 11 on the right. What is the simplest form of StartRoot 3,025 EndRoot?
Answer:
(5^2)(11^2)
Step-by-step explanation:
Taking all the factors in the left hand side of the factor tree, we have
5,5,11,11
5 twice
5^2=25
11 twice
11^2=121
The factor of 3,025=(5^2)(11^2)
Alternatively
3025÷5=605
605÷5=121
121÷11=11
11÷11=1
We have prime number 5 as divider twice and prime number 11 as a divider twice
Therefore,
5^2*11^2=3,025
Check
(5^2)(11^2)
=(25)(121)
=3,025
Answer:
c
Step-by-step explanation:
Find the vertex of the graph
Answer:
(-3, -11)
i needed to put more characters so here
What is the range of the function?
PLEASE HELP!!!!!
A sphere has a circumference of its great circle equal to 20 Pi what is the volume of that sphere?
Answer:
Step-by-step explanation:
The formula for the volume of a sphere is
[tex]V=\frac{4}{3}\pi r^3[/tex] In order to use this formula we have to have a value for the radius and right now we don't. But we can find it indirectly by using the circumference formula. The circumference formula is
[tex]C=2\pi r[/tex] If the circumference is 20π, then we will fill that in for "C" and solve for r:
20π = 2πr and if you divide both sides by 2π, you'll get that r = 10. Now we have a radius.
Using that in the volume formula:
[tex]V=\frac{4}{3}\pi (10)^3[/tex] and then simplifying a bit:
[tex]V=\frac{4}{3}\pi (1000)[/tex] and
[tex]V=\frac{4000\pi}{3}[/tex] which divides to give you
[tex]V=1333.33\pi[/tex], third choice down.
Look at the figure shown below: A triangle RPQ is shown. S is a point on side PR and T is a point on side PQ. Points S and T are joined using a straight line. Nora is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 45. Statement Reason 1. Segment ST is parallel to segment RQ Given 2. Angle QRS is congruent to angle TSP Corresponding angles formed by parallel lines and their transversal are congruent 3. Angle SPT is congruent to angle RPQ Reflexive property of angles 4. Triangle SPT is similar to triangle RPQ Angle-Angle Similarity Postulate 5. 60: (60+x) = Corresponding sides of similar triangles are in proportion Which of the following can she use to complete statement 5? a 60:(48 + 36) b 60:36 c 48:36 d 48:(48 + 36)
Answer:
d:48:(48+36)
Step-by-step explanation:
cause the length PT corresponds to PQ so the value of PT which is 48 corresponds with the value of PQ which is 48+36 I guess
Option d 48:(48+36) is the correct option.
Given that:
Statements that Nora wrote are:
Statement Reason
1. Segment ST is parallel to segment RQ Given
2. Angle QRS is congruent to angle TSP Corresponding angles formed by parallel lines and their transversal are congruent
3. Angle SPT is congruent to angle RPQ Reflexive property of angles
4. Triangle SPT is similar to triangle RPQ Angle-Angle Similarity Postulate
5. 60: (60+x) = ?
It is the property that a line intersecting and cutting a triangle which is parallel to a side of that triangle has those cuts with proportionate measures.
In the given figure, the above fact is shown symbolically as:
[tex]\dfrac{PS}{PR} = \dfrac{PT}{PQ}\\[/tex]
Thus we have :
[tex]\dfrac{60}{60+x} = \dfrac{48}{48+36}\\[/tex]
Thus Option d 48:(48+36) is the correct option.
Learn more here:
https://brainly.com/question/10677856
The cosine function reaches a value of 0 when x is equal to
Answer:
Step-by-step explanation:
The values of the cosine function are represented by the axis OX of the goniometric circumference (circumference centered at the origin and of radius 1). Therefore the cosine is zero for the 90º and 270º angles.
Show that: (sec theta - cosec theta) (1 + tan theta + cot theta) = sec theta tan theta - cosec theta cot theta)
Answer:
see derivation below
Step-by-step explanation:
Show that:
( sec(t) - cosec(t) ) ( 1 + tan(t) + cot(t) ) =
sec(t) tan(t) - cosec(t) cot(t)
Some trigonometric definitions used:
tan(t) = sin(t)/cos(t)
cot(t) = cos(t)/sin(t)
sec(t) = 1/cos(t)
csc(t) = 1/sin(t)
some trigonometric identities used:
sin^2(t) + cos^2(t) = 1 ......................(1)
rewrite left-hand side in terms of sine and cosine
(1/cos(t) - 1/sin(t) ) ( 1 + sin(t)/cos(t) + cos(t)/sin(t) )
Simplify using common denominator sin(t)cos(t)
= ( (sin(t) - cos(t))/(sin(t)*cos(t)) ) * ( ( sin(t)cos(t) + sin^2(t) + cos^2(t)) / ( sin(t)cos(t) ) )
= ( sin(t) -cos(t) ) * (1 + sin(t)cos(t) ) / ( sin^2(t) cos^2(t) ) ...... using (1)
Expand by multiplication
= ( sin(t) -cos(t) + sin^2(t)cos(t) - sin(t)cos^2(t) ) / ( sin^2(t) cos^2(t) )
Rearrange by factoring out sin(t) and cos(t) in numerator
= ( sin(t) (1-cos^2(t) - cos(t)(1-sin^2(t) ) / ( sin^2(t) cos^2(t) )
= ( sin^3(t) - cos^3(t) ) /( sin^2(t) cos^2(t) ) .........................using (1)
Cancel common factors
= sin(t)/(cos^2(t)) - cos(t)/(sin^2(t))
Rewrite using trigonometric definitions
= sec(t)tan(t) - csc(t)cot(t) as in Right-Hand Side
Explain why a drop in temperature would lead to adding a negative integer.
Step-by-step explanation:
a drop in temperature means the temperature will decrease.
That decrease is represented with a negative integer which should be added to the previous temperature.
A baby bird jumps from a tree branch and flutters to the ground. The function "f" models the bird's height (in meters) above the ground as a function of time (in seconds) after jumping. What is bird's height above the ground when it jumped.
The answer to this question will depend on the function f itself. Basically you will find the height in meters above the ground of the bird when it jumped when the time t=0s. This is substsitute every t in the function for a value of zero and that way you will get the bird's height at the time it jumped. If you were given a graph for this function, you can find the y-intercept of the graph and that will be the answer as well. The question could be written like this:
A baby bird jumps from a tree branch and flutters to the ground. The function "[tex]f(t)-4.9t^{2}+25[/tex]" models the bird's height (in meters) above the ground as a function of time (in seconds) after jumping. What is bird's height above the ground when it jumped.
Answer:
25m
Step-by-step explanation:
Once your function is given, you can substitute t=0 since 0s is the time measured at the moment the bird jumped. So our function will be:
[tex]f(0)=-4.9(0)^2+25[/tex]
[tex]f(0)=25m[/tex]
So the height of the bird above the ground when it jumped is 25m in this particular function.
Answer:
It is (0,12) on the graph , if you are doing it on Khan Academy.
Step-by-step explanation:
Just try it . se what happens. :))
Use multiplication to solve the proportion
35/28 = n/12
Answer:
n=15, 35/28=15/12
Step-by-step explanation:
28/12=2.33
35/2.33= 15
very simple challenge hard question
Answer:
-58.41509433
Step-by-step explanation:
0.4+8(5-0.8*5/8)-5/(2.5)=34.4
[0.4+8(5-4/8)-(2)]=
[0.4+8(40-4)/8)-2=34.4 ( nominator)
15-(8.9-2.6/(2/3))*34*2/5 =-53
15-(8.9-3.9)*68/5
15-5*68/5=
15-68=-53 ( denominator)
(34.4/-53) *90
-58.41509433
a
simplified form of -3 + 2(x - 1)?
8. Which expression
a. -X + 1
b. 2x-5
c. 2x - 4
d. -X-1
Answer:
2x -5
Step-by-step explanation:
-3 + 2(x - 1)
Distribute
-3 +2x -2
Combine like terms
2x -5
Answer:
5x -2
Step-by-step explanation:
I'm marking people brainliest. ------ One of the solutions to this inequality is _____ (-1,-2) (-1, 2) (0.5,2) (-2, -1)
Answer:
(-1, -2)
Step-by-step explanation:
Look up each point in the choices on the graph. If it is on the line or in the shaded area it is a solution.
Answer: (-1, -2)
Answer:
First & Last
Step-by-step explanation:
See what is in the red portion(Shaded or line), that is what can work to the inequality.
(-1, -2) -- In the red(works)
(-1, 2) -- Out of the red(Nope)
(0, 5.2) -- Out of the red(Nope)
(-2, -1) -- In the red(works)
Write a rule for the nth term of the arithmetic sequence. d =1/2 , a6 =18.
Answer:
[tex]a_{n}[/tex] = [tex]\frac{1}{2}[/tex] n + 15
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₆ = 18 and d = [tex]\frac{1}{2}[/tex] , then
a₁ + 5d = 18 , that is
a₁ + [tex]\frac{5}{2}[/tex] = 18 ( subtract [tex]\frac{5}{2}[/tex] from both sides )
a₁ = [tex]\frac{31}{2}[/tex]
Thus
[tex]a_{n}[/tex] = [tex]\frac{31}{2}[/tex] + [tex]\frac{1}{2}[/tex] (n - 1) = [tex]\frac{15}{2}[/tex] + [tex]\frac{1}{2}[/tex] n - [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex] n + 15
15 points are placed on a circle. How many triangles is it possible to form, such that their vertices will be the given points?
Answer: 445 triangles can be form with 15 dots of a circle (I hope good luck)
Step-by-step explanation:
Answer:
455
Step-by-step explanation:
There are 15 points on a circle.
We need three points to form a triangle
Therefore the number of triangles = 15 choose 3 = 15!/(3!x12!) = (15x14x13)/(3x2x1) = 5x7x13 = 455
Hence the number of triangles formed is 455