Answer:
Square root of 100.
Step-by-step explanation:
Step-by-step explanation:
We can write 10 as a fraction 10/1, therefore,[tex]\sqrt{}[/tex]100 is a rational number.
Part A : A rational no. between 5.2 and 5.5 is 5.3.
It is rational because it can be expressed in the form
p/q where p and q are integers and q is not equal to 0, which is 53/10
Part B: A rational no. between 5.2 and 5.5 is 5.29150262213
An irrational number between 5.2 and 5.5 is 5.29150262213. It is irrational because there is no pattern that repeats and it cant be written as a fraction of two whole numbers.
Answer:
Step-by-step explanation:
Square root of all prime numbers is irrational.
97 is an prime number. So √97 is an irrational number.
√98 = [tex]\sqrt{2*7*7}=7\sqrt{2}[/tex] is an irrational number.
[tex]\sqrt{99}=\sqrt{3*3*11} =3\sqrt{11}[/tex] is an irrational number
√100 = 10 is a rational number.
Part A:
5.3 is a rational number.
Rational can be written in p/q form and when divided the result will either terminating decimal or non terminating repeating decimal
Part B:
5.3020050......
Irrational numbers are non terminating non repeating numbers
A line intersects the points (-2,5) and (6,5) What is the slope-intercept equation for the slope
Answer:
Step-by-step explanation:
(y2-y1)/(x2-x1)
There are 5 pears, 10 grapes, and 4 strawberries in a bag. What is the ratio of all pieces of fruits to pears?
Answer:
19: 5
Step-by-step explanation:
Total fruit is 5+10+4 = 19
fruit: pears
19: 5
Answer:
19:5
Step-by-step explanation:
5+10+4= 19
Pears= 5
The function f(x) is shown on the graph.
What is f(0)?
0 only
-6 only
-2,-1,1, and 3 only
-6,-2,-1,1,and 3 only
Answer: -6 only (choice B)
This is because the point (0,-6) is on the blue line. This is the y intercept.
Choice C would be true if you wanted to solve f(x) = 0, instead of f(0) itself.
Answer:
-6
Step-by-step explanation:
f(0) means what is the output when the input is 0
x=0 y= -6
Which statements are true about finding the difference of the expressions? Select three options
[tex]\frac{3p+1}{6p}[/tex] and [tex]\frac{2p-3}{2px^{2} }[/tex]
A. The common denominator is 6p.
B. The first fraction rewritten with the LCD is [tex]\frac{3px^{2} +p}{6px^{2} }[/tex]
C. The second fraction rewritten with the LCD is [tex]\frac{6p-9}{6p}[/tex]
D. The diffrence is [tex]\frac{3px^{2} -5p+9}{6px^{2} }[/tex]
E. The difference is a rational expression.
Answer:
CAUTION HERE !!!!!
if you suggested edits are accurate the solution would be...
[tex]\frac{3p^2 - 5p+9}{6p^2}[/tex]
that is not one of your choices, but is is almost identical to choice "D"
which is different by [tex]6px^2[/tex] vs [tex]6p^2[/tex]
which i think is your comment ????
Step-by-step explanation:
write an equation
of the line in slope - Intercept form
(8,3) (0,-5)
Answer:
y=x-5
Step-by-step explanation:
Hi there!
We want to write an equation of the line that passes through the points (8,3) and (0,-5) in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope, and b is the y intercept
So let's first find the slope of the line
The formula for the slope calculated from two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything needed to find the slope, but let's label the values of the points to avoid any confusion
[tex]x_1=8\\y_1=3\\x_2=0\\y_2=-5[/tex]
Now substitute into the formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-5-3}{0-8}[/tex]
Subtract
m=[tex]\frac{-8}{-8}[/tex]
Simplify
m=1
The slope is 1
Here is the equation of the line so far:
y=1x+b (can also be written as y=x+b)
We need to find b
The equation passes through both (8, 3) and (0, -5), so we can substitute the values of either one of them as x and y to solve for b
Let's take (8, 3) for example
Substitute 8 as x and 3 as y
3=1(8)+b
Multiply
3=8+b
Subtract 8 from both sides
-5=b
Substitute -5 as b into the equation
y=x-5
Hope this helps!
Solve for the value of x
Answer:
x = 2
Step-by-step explanation:
Given 2 intersecting chords in a circle, then
The product of the parts of one chord is equal to the product of the parts of the other chord , that is
12x = 6(x + 2) = 6x + 12 ( subtract 6x from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
The term 'secant' refers to a line segment that intersects a circle in two places. When two secants intersect inside a circle, one can use the product of lengths theory to form ratios between the parts of intersection between the secants. This ratio can be described as the following, let ([tex]secant_A[/tex]) and ([tex]secant_B[/tex]) represent the two secants in the circle. Part (1) and (2) will refer to the two parts formed after the intersection of the secants.
[tex](secant_A_1)(secant_A_2)=(secant_B_1)(secant_B_2)[/tex]
Use this formula in the given situation, substitute the given values in and solve for the unknown,
[tex](secant_A_1)(secant_A_2)=(secant_B_1)(secant_B_2)[/tex]
[tex](6)(x+2)=(12)(x)[/tex]
Simplify,
[tex](6)(x+2)=(12)(x)[/tex]
[tex]6x+12=12x[/tex]
[tex]12=6x[/tex]
[tex]x=2[/tex]
The digits 1, 7, and 8 and 2 copies of the digit 5 are all arranged to form a 5-digit integer. How many different integers can be formed?
Step-by-step explanation:
You have 5 digits.Youdonot say if duplication is allowed. I will assume not
For the first digit you have 5 choices. One of the 5 digits is gone.
You now have 4 digits to choose from. You pick one. Now you have but 3 left.
The total answer if 5*4*3*2*1 = 120
Help with question 24 the answer is (y-2)(a-b) but I need explain I don’t understand
Answer:
a(y_2)_b(y_2) =a_b)(y_2(
Ella has two 8-ft. long boards. She
needs to cut pieces that are 15 inches
long. How many 15-inch pieces can
she cut from the two boards?
My sister needs help?
Answer:
Step-by-step explanation:
Can someone help me with this math homework please!
Answer: Choice B
[tex]\text{As } x \to \infty, \ f(x) \to \infty[/tex] and [tex]\text{As } x \to -\infty, \ f(x) \to \infty[/tex]
==========================================================
Explanation:
Assuming that the only roots are x = -3 and x = 2, as shown by the table, then notice how f(x) > 0 at the very right hand side of the table. This indicates that f(x) will remain positive for this tail end. If f(x) were to become negative, then there would have to be another root somewhere beyond x = 2 (but that contradicts the assumption made at the top of the paragraph).
This allows us to say [tex]\text{As } x \to \infty, \ f(x) \to \infty[/tex]
In other words, as x gets bigger, so does y. Both head to positive infinity together. We can informally describe this end behavior as "rises to the right".
----------------------
For the left side of the table, we also have positive f(x) values to the left of the root. So we see that f(x) > 0 as x heads off in the negative infinity direction.
We would then say [tex]\text{As } x \to -\infty, \ f(x) \to \infty[/tex]
Regardless of what direction x goes (positive or negative infinity), the y = f(x) values are heading off to positive infinity. Informally, we could say "rises to the left".
Both endpoints rise together to positive infinity. Think of a parabolic curve that opens upward as one example.
All of this points to choice B as our final answer. Choice B can be rephrased as [tex]\text{As } x \to \infty \text{ or } x \to -\infty, \text{ then } \ f(x) \to \infty[/tex]
The sum of three consecutive numbers is 117.what is the largest of the three numbers?write an equation to represent this scenario and solve for the variable
Answer:rrrrrrrr
rrrrrrrrrr
Step-by-step explanation:
rrrrrrrrrrrrrrr
The equation for the scenario is x + x+1 + x+2 = 117 and largest number is 40.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let x be the first number:
The other numbers are:
x+1, x+2
The sum of three consecutive numbers is 117:
x + x+1 + x+2 = 117
3x + 3 = 117
3x = 114
x = 38
x+ 1 = 38+1 = 39
x+2 = 38+2 = 40
Thus, the equation for the scenario is x + x+1 + x+2 = 117 and largest number is 40.
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If the product of five and a number is divided by 8, the result is 12
Answer:
Step-by-step explanation:
Product means multiplication (×)
Let
The unknown number = m
product of five and a number = 5 × m
= 5m
product of five and a number is divided by 8, the result is 12
5m / 8 = 12
Cross product
5m = 8 * 12
5m = 96
m = 96/5
= 19.2
m = 19.2
Therefore,
The unknown number = m = 19.2
Check:
5m / 8 = 12
5(19.2) / 8 = 12
96/8 = 12
Original Price: $90 Sale Price: $58.50
Can you also show the math
Answer:
You didn't give me any specifics about what you want me to solve or do.
write equation!!
twice the difference of a number and seven equals five 
Answer:
Its either 2(A+7=5) or 2(A+7) =5
Use the following diagram to help in your calculations:
Explain how you would use trig ratios to find the height of the tree if you know you are standing 30 feet from the base of the tree when you measure the 37-degree angle.
Answer:
22.6 feet
SOH - CAH - TOA
you are working with "o" opposite , and "a" adjacent.
O/A is TOA - tan()
tan(37) = x/30
x = 30* tan(37) = 22.6
Step-by-step explanation:
Select the reason that best supports statement 5 in the given proof help pls
Answer:
A
Step-by-step explanation:
Subustion works because we already know two things are congruent so we just "substitute the angles into for the variables.
We know Angle A equal Angle B so we can replace angle A into m of Angle B and set it equal to Angle B variables.
We dont do know algebra operation to solve for the variable so we B and C aren't the option.
We already know two things are equal so we dont need to use transitive.
The reason that best supports statement 5 in the given proof is option A. Substitution.
What is Substitution:The process of substituting an algebraic letter for its value is known as substitution.
Take the equation 8 - 4x as an example. Depending on what number x is, this can take a wide range of values. For example, if we are told x = 3 then we can substitute 3 in place of x.
Multiplication property of equality:Let's take an example,
x ÷ 2 = (5x - 54)
x ÷ 2 × 2 = 2 × (5x - 54)
x = 10x - 108
then by multiplication property of equality, we can multiply 2 on both sides and rewrite the equation,
x = 10x - 108
Addition property of equality:Let's take another example,
x - 2 = 2
then by addition property of equality, we can add 2 on both sides and rewrite the equation,
x - 2 + 2 = 2 + 2
x = 4
Transitive property:In math, if A=B and B=C, then A=C
For example, if A is 5 then by the transitive property we can conclude that B and C are also equal to 5.
What is congruency?Two geometric figures are said to be congruent or to be in a congruence relation if they can be superposed on top of each other and remain the same throughout.
In the given question -
The first reason is given in the question itself.The second reason is given by congruency.The third reason is again given in the question.The fourth reason is also given.Finally, in the fifth reason, we can conclude that it is substitution because by the second reason m of ∠A is congruent to m of ∠B. So, if we remember the substitution we can assign the value of m∠A to the value of m∠B because both are congruent by the second reason.
Therefore, the reason that best supports statement 5 in the given proof is Substitution.
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It is possible to get two solutions when solving a radical equation.
True or false
yes it is possible, although it doesn't always occur.
Your answer is: True
In the formula that gives the circumference of a circle, which quantity is multiplied by 2π ?
Answer:
Radius
Step-by-step explanation:
Radius is multiplied by 2pi
Can you answer this math homework? Please!
Answer: (3.5,-2)
Step-by-step explanation:
To solve this problem, all we have to do is plug in y=-2 into either equations from step one to find the coordinate. To make sure we have the right x-coordinate, let's plug in y for both equations.
4x-7y=28 [plug in y=-2]
4x-7(-2)=28 [multiply]
4x+14=28 [subtract both sides by 14]
4x=14 [divide both sides by 4]
x=3.5
------------------------------------------------------------------------------------------------------------
6x-5y=31 [plug in y=-2]
6x-5(-2)=31 [multiply]
6x+10=31 [subtract both sides by 10]
6x=21 [divide both sides by 6]
x=3.5
Now, we know the solution to the system is (3.5,-2).
Answer:
(3.5, -2)
Step-by-step explanation:
Hi there!
We are given a system of equations, and the value for y is already solved (y=-2)
We want to find the value of x
To do that, substitute -2 as y into either one of the equations in the system (the system has the equations 4x-7y=28 and 6x-5y=31) and solve for x
Let's use 4x-7y=28, although picking 6x-5y=31 is completely fine
Substitute -2 as y into the equation
4x-7(-2)=28
Multiply
4x+14=28
Subtract 14 from both sides
4x=14
Divide both sides by 4 and simplify
x=7/2, or 3.5
We found the value of x in the system
Substitute the values of x and y into a point form (x, y)
The solution is (3.5, -2)
Hope this helps!
The purchasing price of thing is called_price
a) Actual
b) cost
c) selling
geometry, trigonometry
Answer:
Hello
Answer B: 32.58°
Step-by-step explanation:
[tex]sin (\widehat{A})=\dfrac{35}{65} \\\\\widehat{A}=arcsin(\dfrac{7}{13} )=32.5789...^o[/tex]
Am angle measuring between 90 and 180 is called…
Answer:
obtuse angle
Step-by-step explanation:
Answer:
obtuse angle
Step-by-step explanation:
math math uhhh i no like math
n33d h319 pls
hope it helps✓✓✓✓✓✓✓✓✓
Answer: A for 10
Step-by-step explanation:
A boy borrowed his boat 531 feet out into the ocean. When he looked back he saw the house on a cliff above the beach where he set out. He estimated the angle of elevation was 26 degrees. Estimate to the nearest foot. the height of the house above the water
Answer:
259 ft.
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are isosceles. scalene, equilateral, acute, obtuse and right angled triangle.
A right angled triangle is a triangle in which one of the angles is 90 degrees. Trigonometric ratios show the relationship between the angles of a right angle triangle and its sides.
Let h represent the height of the house above water, hence using trigonometric ratios:
tan(26) = h / 531
h = 531 * tan(26)
h = 259 ft.
NEED HELP WITH BOTH PARTS URGENTLY‼... FIND THE COORDINATES OF THE POINT WHERE y-4x=1 crosses the y-axis
THE DIAGRAM SHOWS THE GRAPH OF Y = 2x + c , where c is constant.
a) (0, 1)
The graph will cross the y-axis at the y-intercept. We can easily find this value by putting the given equation into slope-intercept form (y = mx + b).
y - 4x = 1
y = 4x + 1
The y-intercept is (0,1).
b) k = 6.5
We first need to find c, or the y-intercept. This is given to us on the graph, where the line crosses the y-axis at (0,-3).
Therefore, our line is y = 2x - 3.
Then, we can plug in 10 for y from the point (k,10) and solve for k (which is the same as x).
10 = 2x - 3
13 = 2x
x = 6.5
Hope this helps!
. Given that O is the centre of the following circle, find the values of the unknowns.
Given:
Radius of circle is 13 cm
Height of triangle is 5 cm
To find:
Value of 'a' and 'b'
Steps:
To find value of 'a', we will use Pythagoras theorem as the triangle is a right angle triangle,
A² + B² = C²
[tex]a^{2} + 5^{2} = 13^{2}[/tex]
[tex]a^{2} + 25 = 169[/tex]
[tex]a^{2} = 169 - 25[/tex]
[tex]a^{2} = 144[/tex]
[tex]\sqrt{a^{2}}=\sqrt{144}[/tex]
[tex]a = 12[/tex]
Now to find the value of 'b', i will use law of cosine,
[tex]c=\sqrt{a^{2}+b^{2}-2ab(cos\beta ) }[/tex]
[tex]12 = \sqrt{13^{2}+5^{2}-2(5)(13)(cos\beta )}\\12=\sqrt{169 + 25-130(cos\beta )}\\12=\sqrt{194-130(cos\beta )}\\144 = 194 - 130(cos\beta )\\50 = 130(cos\beta )\\cos\beta = 0.3846\\\beta = cos^{-1}(0.3846)\\\beta = 67.38[/tex]
Therefore, the values of 'a' and 'b' is 12 and 67.38 respectively
Happy to help :)
If u need any help feel free to ask
What is the range of the function f(x) = -2(6^x) + 3?
o (-inf,-2]
0 (-inf,3)
O [-2,inf)
O [3,inf)
Answer:
write question in short form
Step-by-step explanation:
Find the total surface area of the
following prism:
5 cm
5 cm
-apothem = 3.44 cm
5 cm
5 cm
10 cm
5 cm
SA = [?] cm2
The total surface area of the given prism is 336 cm².
Given that, a=3.44 cm, b=5 cm and h=10 cm.
What is the formula to find the surface area of a pentagonal prism?The surface area of a pentagonal prism = 5ab + 5bh square units.
a = apothem length of the pentagonal prism.
b = base length of the pentagonal prism.
h = height of the pentagonal prism.
Now, the surface area of a pentagonal prism
=5×3.44×5+5×5×10= 336 cm²
Therefore, the total surface area of the given prism is 336 cm².
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I will mark you the brainiest for the correct answer, please be correct, Have a good day and take care, thanks. ( VIEW THE IMAGE TO ANSWER).
Mistake in Line 2 : Was in the determining the values for a ,b,c
Mistake in Line 4 : Not taking the square roots of both sides.
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
First Mistake : Line 2
[tex]a = x \\ b = 6 \\ c = 10[/tex]
Second Mistake : Line 4
[tex]136 = {x}^{2} \\ not \\ 136 = x[/tex]
Correct Solution :
[tex] {x}^{2} + {6}^{2} = {10}^{2} \\ {x}^{2} = {10}^{2} - {6}^{2} \\ {x}^{2} = 100 - 36 \\ [/tex]
[tex] {x}^{2} = 64 \\ \sqrt{ {x}^{2} } = \sqrt{64} \\ x = 6[/tex]
What is the solution of the system of equations?
nd
y = -2x + 8
y = x - 4
Answer: x=4
Step-by-step explanation:
Concept:
There are three ways to solve the system of equations
SubstitutionElimination GraphingHere, we would use substitution because we have two same variables.
--------------------------------------------------------------------------------------------------
Solve:
Given
y = -2x + 8
y = x - 4
Substitute
-2x + 8 = x - 4
Add 4 on both sides
-2x + 8 + 4 = x - 4 + 4
-2x + 12 = x
Add 2x on both sides
-2x + 12 + 2x = x + 2x
12 = 3x
Divide 3 on both sides
12 / 3 = 3x / 3
x = 4
Hope this helps!! :)
Please let me know if you have any questions
