Answer: 99
you do 33x3=99
33/99=3
Step-by-step explanation: hope this helps!!
In little league,the field is a square with sides of 60 feet. The expression [tex]\sqrt{(s^{2}+s^{2} )} \\[/tex] represents the diagonal distance across a square of side length S.Second base and home plate are in opposite corners across the field.Estimate the distance the catcher at home plate would have to throw the ball to reach the second baseman at second base.
The catcher at home plate had to throw the ball 60 cm to reach the 2nd baseman at second base.
What is defined as the Pythagorean Theorem?The Pythagorean theorem is an extremely useful method for resolving a missing length of a right triangle in mathematics. The square of the longest side, also known as the hypotenuse, is equal to the sum of a squares of the 2 other sides, according to this theorem.The hypotenuse of a right triangle is formed by the line from home plate to 2nd base. The triangle's two sides are each 60 feet long.
We can calculate the length of the hypotenuse using the Pythagorean theorem:
Diagonal² = side² + side²
Side= 60 feet
Diagonal = √s² + s²
Put the value in formula;
(√s² + s²)² = 60² + 60²
2s² = 2 ×60²
Further simplify;
s² = 60²
Taking root on both sides;
s = 60 feet.
Thus, the side of the square field is 60 feet.
Therefore, a catcher at home plate ought to throw the ball 60 cm to reach the 2nd baseman at second base.
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Add or Subtract.
7/24 - 5/36
Answer:
A product of a number and 12 is increased by 23
If sinx = 0.6 and AB = 12 , what is the area of ΔABC ?
a. 9.6 units²
b. 28.8 units²
c. 31.2 units²
d. 34.6 units²
e. 42.3 units²
If sinx =0.6 and AB =12, then area of triangle ABC is equal to 96 units².
As given in the question,
In triangle ABC,
AB = Perpendicular side
BC = Base
AC = Hypotenuse
sinx = 0.6
AB = 12
sinx = AB / AC
⇒0.6 = 12/AC
⇒AC = 12 /0.6
⇒ AC = 20
Using Pythagoras theorem,
AB² + BC² = AC²
⇒ BC² = 20² -12²
⇒BC = 16
Area of ΔABC = (1/2)× AB×BC
= (1/2)×12×16
= 96 units²
Therefore, if sinx =0.6 and AB =12, then area of triangle ABC is equal to 96 units².
The complete question is:
If sin x = 0.6 and AB = 12 as shown in the diagram , what is the area of ΔABC ?
a. 96 units²
b. 28.8 units²
c. 31.2 units²
d. 34.6 units²
e. 42.3 units²
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The height of one of these cylinders if its radius is 2 inches is inches .
Answer: 4 inches.
Step-by-step explanation:
6) Magdalena runs 5 days per week. Her goal is to run a minimum of 60 km each
week. If she runs 50 days, what is the minimum distance she will run?
The required minimum distance she will run is 600 km.
Given that,
Magdalena runs 5 days per week. Her goal is to run a minimum of 60 km each week. If she runs 50 days, what is the minimum distance she will run is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
In 5 days she ran 60 km
In one day she ran = 60 / 5 = 12
Let the number of km run be x
for 50 days minimum run would be,
= 50 * 12
= 600 km
Thus, the required minimum distance she will run is 600 km.
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The coordinates of the vertices of a triangle are (2, 3), (5, 1), and (6, 4). After one reflection, the coordinates of the vertices of the triangle's image are (2, -3), (5, -1), and (6,-4). Over what line has the triangle been reflected? Select the answer from the drop-down list to correctly complete the sentence. is it x-axis or y-axis
Answer: x-axis
Explanation:
The point (2,3) moves to (2, -3)
The x coordinate stays the same, but the y coordinate flipped from positive to negative. Therefore, the rule used is [tex](\text{x},\text{y}) \to (\text{x}, -\text{y})[/tex] which is a reflection over the horizontal x axis.
g(x) =
2x²-8
x²-x+6
IN
2
Answer:
Use the formula L(x)=f(a)+f'(a)(x−a) to find the linearization.
L(x)=2
Step-by-step explanation:
Jackson eats 1/4 part of a banana in 1/2 minute. How much time will he need to eat a full banana?
yesterday 15 employees in an office were absent if these absentees constitute 30% of the employees, what is the total number of employees
Answer:
total of 50 employees
Step-by-step explanation:
y varies directly with x .
If y=25 when x=15 , find y when x=6 .
The required value of y is 10.
What is the constant of proportion?
A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.
Solving for the value of y
let k be the constant of proportion
When a quantity varies directly with others, then we have a relation, y = kx, —-- 1
Now, find k for given x = 15 and y = 25, we need to put these values in equation 1, i.e.
25 = k(15)
k = 25 / 15
k = 5 / 3
Further calculate y for given x = 6 and constant of proportion = 5/3 i.e.
y = (6)(5 / 3)
y = 10
Hence, the required value of y is 10.
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Find the sum of each finite arithmetic series. (-3)+(-6)+(-9)+. . . . . . +(-30)
The sum of the given arithmetic series (-3)+(-6)+(-9)+. . . . . . +(-30) is -165
The given series is:
(-3)+(-6)+(-9)+. . . . . . +(-30)
First, we need to find how many terms in that arithmetic series.
Recall, the formula for the nth term of an arithmetic sequence is:
a(n) = a(1) + (n-1) . d
From the given series we know that:
the first term : a(1) = -3
the last term: a(n) = -30
the common difference: d = -6 - (-3) = -3
Substitute these parameters into the formula:
a(n) = a(1) + (n-1) . d
-30 = -3 + (n-1) . (-3)
-30 = -3n
n = 10
So there 10 terms in the series.
Use the sum formula:
S(n) = n/2 [a(1) + a(n)]
S(10) = 10/2 [-3 + (-30)]
S(10) = -330/2 = -165
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Question
Evaluate the expression when a=4, b=−5, and c=−8.
a+b=
???
Answer:
a+b= (-1)
Step-by-step explanation:
4+(-5)=
4-5= (-1)
Answer:
-1
Step-by-step explanation:
a = 4
b = -5
4 + -5 = -1 ( +- turns to -)
How many widgets does Widget INC. have to sell to break even?
Answer:
300 widgets
Step-by-step explanation:
Each time the widgets sold goes up by 100, the profits goes up by 400. This shows a ratio/slope of 4 if we were to graph this. To find out when they break even you need to subtract $400 from the first row to get to zero and the equivalent amount of widgets. If each widget is $4 then subtract 100 from 400 to get 300 widgets
well, we know the table has linear relationship, so let's use it to get the Profit function then, to get the equation of any straight line, we simply need two points off of it, so let's use those two points in the picture below.
[tex](\stackrel{x_1}{500}~,~\stackrel{y_1}{800})\qquad (\stackrel{x_2}{700}~,~\stackrel{y_2}{1600}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1600}-\stackrel{y1}{800}}}{\underset{run} {\underset{x_2}{700}-\underset{x_1}{500}}} \implies \cfrac{1600 -800}{700 -500} \implies \cfrac{ 800 }{ 200 }\implies 4[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{800}=\stackrel{m}{4}(x-\stackrel{x_1}{500}) \\\\\\ y-800=4x-2000\implies y=4x-1200[/tex]
how many bucks will they lose by selling "0" items?
well, let's find out by setting x = 0.
[tex]\stackrel{profit}{y}=4(0)-1200\implies y=-1200~\hfill \stackrel{\textit{they'd be losing}}{\text{\LARGE 1200}}[/tex]
how many will they need to sell to break-even?
well, to break-even that means no loses, no profits but no loses either, so-called breaking-even, you simply sell enough to cover costs, at that point the profit = y = 0, so
[tex]\stackrel{profit}{0}=4x-1200\implies 1200=4x\implies \cfrac{1200}{4}=x\implies \text{\LARGE 300}=x[/tex]
Open the parallel lines reflection application. The right set of parallel lines is a reflection across the y-axis of the left set of parallel lines. Click the reflect over y-axis button. Are the two sets of parallel lines the same? What does this mean about how parallel lines change when you reflect them?
The first image is before I rotated the angle, and the second image is after I rotated the angle.
Answer:
The lines are the same, they are just in a different position.
A reflection is a type of rigid transformation. Rigid transformations do not
change the size nor the length of the pre-image.
In other words, the pre-image and the image in a rigid transformation are congruent.
Step-by-step explanation:
Hope this helps.
If 4(x+2)-2(x-10)=0 , what is the value of x ?
The value of x is -14.
Rewriting the equation mentioned in question to solve for the value of x -
4(x + 2) -2 (x - 10) = 0
Performing multiplication with brackets on Left Hand Side of the equation
4x + 8 - 2x + 20 = 0
Performing addition and subtraction on Left Hand Side of the equation
2x + 28 = 0
Shifting 28 to other side of equation
2x = - 28
Shifting 2 to other side of equation as denominator
x = - 28/2
Performing division to find the value of x
x = -14
Hence, the value of x is -14.
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Refer to ®R .
Is -VU a radius? Explain.
The chord of a circle is defined as the line segment connecting any two points on its circumference.
VU is not a radius it is a chord.
What is a chord in a circle?The chord of a circle is defined as the line segment connecting any two points on its circumference. It should be noted that the diameter of a circle is the longest chord passing through its center.
A circle chord is a straight line with both ends on a circular arc. A secant line, or simply secant, is the infinite line extension of a chord. A chord is a segment of a line that connects two points on a curve, such as an ellipse.
A radius is a segment with ends at the center and circumference of a circle. VU, on the other hand, is a chord because it has both endpoints on the circle.
Therefore, VU is not a radius it is a chord.
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Distance between the points
(a cos (0 + 25+), a sin (
3
2π
3
and
(acos (0+), asin (0+5)) is
3
3
1) 2a
2) 3a
3) a/2
4) a
Distance between the points [tex](a cos(0 +\frac{2\pi }{3} ), a sin(0+\frac{2\pi }{3}))[/tex] and [tex](a cos(0+\frac{\pi }{3}), a sin(0+\frac{\pi }{3}))[/tex] is [tex]a[/tex]. (Option D)
Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by [tex]d= \sqrt{(x^{2}-x) ^{2}+(y^{2}-y) ^{2} }[/tex]. This formula is used to find the distance between any two points on a coordinate plane or x-y plane. This formula is called distance formula.
Let A= [tex](a cos(0 +\frac{2\pi }{3} ), a sin(0+\frac{2\pi }{3}))[/tex] and B= [tex](a cos(0+\frac{\pi }{3}), a sin(0+\frac{\pi }{3}))[/tex].
Putting values in above formula:
AB=[tex]\sqrt{a^{2}[cos(0+\frac{\pi }{3})-cos(0+\frac{2\pi }{3})]^{2}+a^{2}[sin(0+\frac{\pi }{3})-sin(0+\frac{2\pi }{3})]^{2} }[/tex]
AB= [tex]a\sqrt{cos^{2}(0+\frac{\pi }{3})+sin^{2}(0+\frac{\pi }{3})+cos^{2}(0+\frac{2\pi }{3})+sin^{2}(0+\frac{2\pi }{3})}[/tex]
AB= [tex]a\sqrt{cos(0+\frac{\pi }{3})cos(0+\frac{2\pi }{3})sin(0+\frac{\pi }{3})sin(0+\frac{2\pi }{3})}[/tex]
AB=[tex]a\sqrt{1+1-2cos(0+\frac{2\pi }{3}-0-\frac{\pi }{3}) }[/tex]
AB= [tex]a\sqrt{2-2cos\frac{\pi }{3} }[/tex]
AB= [tex]a\sqrt{2-2\frac{1}{2} }[/tex]
AB= [tex]a\sqrt{2-1} =a[/tex]
Hence, the distance between the two given points is [tex]a[/tex].
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Ms.Nishino uses Zipcar, a rental car service. She only wants to spend $75.00 each month.ziper charges $25 a month, plus $12.50 per hour of car rental.
Ms.Nishino can drive using Zipcar for 4 hours
How is the total cost of of car rental modelled?
The total cost of car rental can be viewed using a straight-line equation, such total cost comprises of the fixed monthly charge and the total cost of hours based on the fact that hourly fee is $12.50 of car rental
y=a+bx
y=total cost=$75.00
a=fixed charge per month for car rental=$25.00
b=hourly charge=$12.50
x=number of hours spent driving in a month=unknown
75=25+12.50x
75-25=12.50x
50=12.50x
x=50/12.50
x=4
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Concluding part of the question:
How many can she drive the rental car to get it in her budget?
What is the difference ? Show all your steps.
-4-(-7) =
Answer:
Step-by-step explanation:
−4−(−7)=
The opposite of −7 is 7.
−4+7
Add −4 and 7 to get 3.
3
Answer:
3
Step-by-step explanation:
Think of -4-(-7) as -4+7
just remove the negative and add instead
your answer is 3
Write an absolute value inequality to represent each situation.
A friend is planning a trip to Alaska. He purchased a coat that is recommended for outdoor temperatures from -15⁰ F to 45⁰F . Let t represent the temperature for which the coat is intended.
Answer: |t - 15| ≤ 30 ; -30 ≤ t - 15 ≤ 30
Step-by-step explanation:
To set up the equation, we have to find the center, and the tolerance, so that we can use formula "|x - c| ≤ t"
First, we can find the tolerance by adding both number, then dividing by 2 --> -15 + 45 = 30 --> 30/2 = 15, so we now know that the center is 15
Next, we can find the tolerance by finding the distance between the center and one of the number --> 15 - (-15) = 30, so we now know that the tolerance is 30
Now we can set up our equation,
center (c) = 15
tolerance (t) = 30
|t - 15| ≤ 30
Now that we have our equation, we can set up the inequality
|x - c| ≤ t = -t ≤ x - c ≤ t
so,
-30 ≤ t - 15 ≤ 30
Hope this helps!
(sorry it was so long)
If point B ( -3, -6) is translated 8 units up and 1 unit left what are the coordinates of B’?
Which angle is complementary to angle BAC?
The angle which is complementary to angle BAC is ∠ACB which is option (a) .
Two angles are same to be angle if they add up to ninety degrees. In alternative words, once angle are place along, they type a right angle (90 degrees). Angle one and angle two are complementary if the add of each the angles is capable ninety degrees (i.e. angle one + angle two = 90°) and therefore, angle one and angle two are known as enhances of every alternative.From the figure we can see that ΔABC is right angled triangle at B .
∠BAC and ∠ACB on adding gives the right angle ∠CBA .
Hence , on adding ∠ACB to ∠BAC , we get the sum 90° so , ∠ACB is the complementary to angle BAC .
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AOC and BOD are diameters of a circle, centre O.
Prove that triangle ABD and triangle DCA are congruent by RHS.
The RHS congruency criterion showed ABD ≅ DCA.
What is congruency?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
The diameters of a circle with an O-centered center are AOC and BOD.
To Locate:
By RHS, ABD and DCA are congruent.
Solution:
The fact that AOC and BOD are a circle's diameters is a given.
BD = CA (circle circumferences)
"BAD = CDA" [90° angles in semicircle]
AD = AD (shared by both triangles)
[Using RHS congruence criterion] ABD ≅ DCA
As a result, the RHS congruency criterion showed ABD ≅ DCA.
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If you are adding two fractions that are both less then 1/2 what must be true about the sum? Give three examples to support your thinking
Addition of two fractions which are both less than (1/2) must result in a fraction which is always less than 1.
What is fractions?A fraction represents a part of a whole or, more generally, any number of equal parts. A fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
Given data
The fractions can be represented as follows;
x < ½ and y < ½
The sum of both of the inequalities is;
x + y < ([tex]\frac{1}{4}[/tex]) + ([tex]\frac{1}{4}[/tex])
x + y < ½
Examples are-
[tex]\frac{1}{5}[/tex]+ [tex]\frac{2}{3}[/tex] =[tex]\frac{13}{15}[/tex]
¼ + ½ = ¾
[tex]\frac{1}{2}[/tex] +[tex]\frac{1}{3}[/tex] = [tex]\frac{5}{6}[/tex]
Therefore, Addition of two fractions which are both less than (1/2) must result in a fraction which is always less than 1.
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Find the coordinates of the circumcenter of the triangle with the given vertices. Explain.
J(5,0), K(5,-8), L(0,0)
The triangle with vertices J(5 , 0), K(5 , -8), and L(0 , 0) has its circumcenter located at Point (5/2 , -4).
Circumcenter of a triangle refers to the point inside a triangle at which the perpendicular bisectors of the sides of a triangle intersect. This point is also equidistant from the three vertices.
Given the location of the three vertices, there are different methods that can be used to locate the circumcenter of the triangle.
One method is to calculate the intersection point of any two perpendicular bisectors.
First is to find the midpoint of the two sides given the formula:
midpoint = M(xm ,ym) = [(x1 + x2)/2 , (y1 + y2)/2]
Consider side JK and side KL.
JK : midpoint = [(5 + 5)/2 , (0 + -8)/2] = (5 , -4)
KL : midpoint = [(5 + 0)/2 , (-8 + 0)/2] = (5/2 , -4)
Next, solve for the slope of each side and slope of its perpendicular bisector (-1/m).
m = (y2 - y1)/(x2 - x1)
JK : m = (-8 - 0)/(5 - 5) = -8/0 = 0/8 = 0
KL : m = (0 - -8)/(0 - 5) = 8/-5 = 5/8
Using the midpoint and the slope of the perpendicular bisector, set up its equation using the point-slope form.
(y - ym) = -1/m(x - xm)
JK : (y - -4) = 0(x - 5)
y + 4 = 0
y = -4
KL : (y - -4) = 5/8(x - 5/2)
y + 4 = 5/8 x - 25/16
y = 5/8 x - 89/16
Find the intersection (circumcenter of the triangle) of these two perpendicular bisectors.
Since from the equation 1, y = -4, input this value to the 2nd equation.
y = 5/8 x - 89/16
-4 = 5/8 x - 89/16
5/8 x = 25/16
x = 5/2
y = -4
Hence, the circumcenter is at Point (5/2 , -4).
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Reporte 184 caracoles entre 8 árboles c
cuántos caracoles tendrá cada árbol?
Answer:
23
Step-by-step explanation:
Porque 23 X 8 = 184
Espero te ayude
Hope this helps
A scientist collected a 1 liter sample of sea water and then examined it to see how many viruses, bacteria, phytoplankton, and protozoa it contained, The scientist found that there were 5x10^5 protozoa and 3x10^9 viruses in the sample. How many times greater was the number of viruses than the number of protozoa that were found in the sea water sample? Estimate by rounding to the nearest whole number
In the sample that is used number of viruses were 6000 times greater than the number of protozoa.
Sampling is the process of choosing a subset of people (a statistical sample) from a statistical population in order to estimate characteristics of the entire population.
It is used in statistics, quality control, and survey technique. Statisticians try to get samples that are typical of the population under consideration.In situations where it is impractical to assess the complete population, sampling offers insights and is more affordable and quicker than doing so.Given the number of protozoa in the sample as 5 × 10⁵ and the number of viruses in the sample as 3x10⁹.
This is represented in the scientific notation.
To calculate the number of times the viruses in the sample is more than the protozoa in the sample we divide the amount of virus by the amount of protozoa.
∴ (3x10⁹) ÷ (5 × 10⁵)
= 6000
Therefore in the sample that is used number of viruses were 6000 times greater than the number of protozoa.
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Sammy wants to start walking to exercise. He finds a circular path with a radius of 50 ft that he wants to walk around. Using the information provided, how many laps around the path would Sammy need to complete in order to walk 628 ft?
Answer:
2 laps
Step-by-step explanation:
The equation for circumference of a circle is 2πr.
We can use this equation to find how many ft are in a lap, then determine with the circumference how many laps need to be completed.
This is simple algebra
2πr
2π(50)
2(3.14)(50)
314.
One lap is 314 feet, so Sammy needs to walk 2 laps.
Answer: 2 laps
Step-by-step explanation:
Length of a circular path is 2πR (R=50ft)
Length of a circular path is:
2*3.14*50=
314 ft
628:314=
2 laps
Describe some advantages and some disadvantages of a recursive formula and an explicit formula. When is it appropriate to use each formula?
The explicit formula has the benefit of making it simple to locate any term in the sequence. The recursive formula only includes one addition or multiplication operation, hence this formula's drawback is that it has more operations overall.
What is recursive formula?We discovered that a recursive rule is a rule that repeatedly alters a prior number in order to reach a subsequent number. As an illustration, our formula for counting numbers is recursive since each number is equal to the preceding number plus 1.
A recursive function is one that generates a series of phrases by repeating or using its own prior term as input.
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Please help thank you
