if the area of an isosceles triangle 56 units squared and the base is one third of the height what is the perimeter
The perimeter of the given isosceles triangle is; 725.77 units
How to find the area of a Triangle?We are given;
Area of Isosceles Triangle = 56 units squared
Base of Isosceles Triangle = ¹/₃h where h is height
Formula for area of triangle is;
A = ¹/₂bh
A = ¹/₂ * ¹/₃h * h
A = ¹/₆h²
Thus;
¹/₆h² = 56
h² = 56 * 6
h = √336 = 18.33
Thus, base = ¹/₃√336
Length of hypotenuse = √((√336)² + (¹/₃√336)²)
Length of hypotenuse = √(336 + (336/9))
Length of hypotenuse = 373.33
Thus, Perimeter of Triangle = 2(373.33) + ¹/₃(√336)
Perimeter = 725.77 units
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A right angle measures 90 degrees
Step-by-step explanation:
yes right angle measure 90 degrees
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A plane intersects one cone of a double-napped cone such that the plane is parallel to the generating line.
What conic section is formed?
A. hyperbola
B. circle
C. parabola
D. ellipse
Answer: C. Parabola
Definition: a parabola is a conic section in which it is mostly characterised of having a U-shape wherein it is symmetrical and an open plane curve.
Use the scatter plot to answer the question. The points in the scatter plot generally increase upward to the right. © 2018 StrongMind. Created using GeoGebra.
Which type of linear correlation is present in the scatter plot?
positive
neutral
negative
strong
The positive linear correlation is present in the scatter plot option first “positive” is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\[/tex]
[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have given a scatter plot in the picture.
As we can see in the scatter plot the dots are not so close that the correlation between x and y will be weak.
If we draw a line of best fit the slope of the line will be positive, the correlation will be positive.
Thus, the positive linear correlation is present in the scatter plot option first “positive” is correct.
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The hollow sphere, in which the circus motorcyclist performs his stunts, has a diameter of 7 m. Find the area available to the motorcyclist for riding.
[tex]\huge\color{red} {\boxed{\tt{A}}} \color{blue} {\boxed{\tt{N}}} \color{hotpink}{\boxed{\tt{S}}} \color{blueviolet}{\boxed{\tt{W}}} \color{fuchsia}{\boxed{\tt{E}}}\color{lavender}{\boxed{\tt{R}}}[/tex]
[tex] \red{ \star} \pmb{Diameter \: of \: the \: sphere = 7 m}[/tex]
[tex] \red{ \star} \pmb{Radius =\frac{7}{2} = 3.5 m}[/tex]
[tex] \pink{\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]
[tex] \sf{Area \: available \: to \: motorcyclist \: for \: riding = Area \: of \: sphere}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 4πr^2}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 4*\frac{22}{7}*3.5*3.5}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 154}[/tex]
The area available to the motorcyclist for riding is 154 m²
Diameter of the sphere = 7m
[tex]{Radius =\frac{7}{2} = 3.5 m}[/tex]
Area available to motorcyclist for riding = Area of sphere
[tex]{= 4πr^2} \\ \\ {= 4*\frac{22}{7}*3.5*3.5} \\ \\ {= 154}.[/tex]
The area available to the motorcyclist for riding is 154 m²
Determine if the given statement is sometimes, always, or never true:
Alternate interior angles ______ congruent.
A.always
B.sometimes
C.never
cho tam giác DEF cân tại D có đường trung tuyến DI
a) Chứng minh tam giác DEI = tam giác DFI
b) Các góc DIE và góc DIF là góc gì
If x+y=4 and x-y=k, what does x equal?
If x+y-z=8 and x-y+z=12 then x=
If x=3b and y=2/6b+4, what is x in terms of y?
The values of x are (4+k)/2 and 10. The value of the variable x in terms of y is x = y -4
System of equationsThese are equations that contains several equations and unknowns.
Given the following system of equation
x+y=4
x-y=k
Add both equation
x + x = 4 + k
2x = 4+k
x = (4+k)/2
For the equation
x+y-z=8
x-y+z=12
Add both equations
2x = 8 + 12
2x = 20
x = 10
The value of x from the equation is 10
Given the equations
x=3b
y = 2/6b+4,
______________
b = x/3
Substitute
y = 2/6(x/3)+4
y = x + 4
x = y - 4
Hence the value of the variable x in terms of y is x = y -4
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What is the name of an item that you will buy only once?
The name of an item that a person can only buy once in one's lifetime are:
A strong quality outdoor trash can.A high-quality knife set.Can opener.Corkscrew.Measuring cups, etc.What are lifetime products?These are known to be a product that one can buy and a person can use for a lifetime until they grow tired of using it.
Note that not all product can or need to last forever but there are a lot of products that can actually do. some of which are:
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Which shows how to find the value of this expression when X=-2 and Y = 5?
(3x®y-2)2
32 (-2)
54
3(-2)6
54
32(5) 6
(-2)
3
(2) 854
Answer:
(3^2(-2)^6)/5^4
Step-by-step explanation:
See attached image.
Write down seven multiplications with an answer of -20
Answer:
-10 x 2
10 x -2
5 x -4
4 x -5
20 x -1
-20 x 1
2 x 2 x -5
Step-by-step explanation:
Answer:
-1 x 20= -20
-20 x 1 = -20
-5 x 4= -20
-4 x 5= -20
-2 x 10= -20
-10 x 2= -20
-2 x 2 x 5 = -20
Step-by-step explanation:
use factors of 20
hope this hepled :)
[tex] \frac{1 }{4 } \times \frac{3}{4} \div \frac{10}{3} [/tex]
What is the answer to the above equation?
Answer:
Step-by-step explanation:
Solution
This (after combining the top 2 fractions, is a 4 tier fraction.
1/4*3/4 = 3/16
So the question now becomes 3/16 ÷ 10/3
The rule for such a question is invert (turn up side down) the second fraction and multiply.
3/16 * 3/10 Combine
(3*3)/(16* 10)
9 / 160
0.05625
[tex]\bf{\dfrac{1}{4}\times\dfrac{3}{4}\div\dfrac{10}{3} }[/tex]
Multiply 1/4 by 3/4 (to do this, multiply the numerator by the numerator and the denominator by the denominator).
[tex]\bf{\dfrac{1\times3}{4\times4}\div\dfrac{10}{3} \ \ \to \ \ \ Multiply.}[/tex]
Do the multiplications in the fraction 1 × 3 / 4 × 4.
[tex]\bf{\dfrac{3}{16}\div\dfrac{10}{3} }[/tex]
Divide 3/16 by 10/3 by multiplying 3/16 by the reciprocal of 10/3.
[tex]\bf{\dfrac{3}{16}\times\left(\dfrac{3}{10}\right) }[/tex]
Multiply 3/16 by 3/10 (to do this, multiply the numerator by the numerator and the denominator by the denominator).
[tex]\bf{\dfrac{3\times3}{16\times10 } \ \ \to \ \ \ Multiply }[/tex]
Do the multiplications in the fraction 3 × 3 / 16 × 10
[tex]\bf{\dfrac{9}{160} \ \ \to \ \ Answer }[/tex]
[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
Which phrase best describes the relationship indicated by the scatter plot?
OA constant correlation
B. negative correlation
C. positive correlation
D. no correlation
Phrase D best describes the relationship indicated by the scatter plot. There is no correlation.
What is a scatter plot?In an effort to demonstrate how much one variable is influenced by another, scatter plots are used to depict data points on a horizontal and vertical axis.
When there is no connection between two variables, it is called a zero correlation. For instance, there is no correlation between IQ level and the quantity of tea consumed.
Phrase D best describes the relationship indicated by the scatter plot. There is no correlation.
Hence option D is correct.
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Answer:
no correlation
Step-by-step explanation:
f(x) = 2x2 + 3x + 5,
Answer:
...
Step-by-step explanation:
if point (4, 5) is on the graph of a function, which equation must be true?
f(5)=4
f(5,4)=9
f(4)=5
f(5,4)=1
Answer:
f(4) = 5
Step-by-step explanation:
The notation used for a point is (x,y). The first number is the x and the second number is the y.
In function notation, you have f(x) = y.
The input number, x, is in the parenthesis beside the f. The output, y is all by itself on the other side of the equal sign.
For the point (4,5), 4 is the x so it goes by the f. 5 is the y so it goes by itself on the other side of the equal sign.
f(4) = 5
The solution is : f(4) = 5, the equation must be true.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
The notation used for a point is (x,y).
The first number is the x and the second number is the y.
In function notation, you have f(x) = y.
The input number, x, is in the parenthesis beside the f. The output, y is all by itself on the other side of the equal sign.
For the point (4,5), 4 is the x so it goes by the f.
5 is the y so it goes by itself on the other side of the equal sign.
f(4) = 5
Hence, The solution is : f(4) = 5, the equation must be true.
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PLS HELP QUICKLY
f(x)= 3x² + 4x - 6
g(x) = 6x³5x² - 2
Find (f+g)(x).
A. (f+g)(x) = -6x³ +8x² + 4x - 4
B. (f+g)(x) = 6x³ - 2x² + 4x-8
c. (f+g)(x) = 6x³ + 3x²-x-8
D. (f+g)(x) = 9x³-x-8
Answer:
(A) 6x³+8x² + 4x - 4, but only if my change is correct to 6x³5x² - 2 is correct.
Step-by-step explanation:
Is "g(x) = 6x³5x² - 2" meant to be g(x) = 6x³-5x² - 2?
If so, (f+g)(x) = 3x² + 4x - 6 - (6x³-5x² - 2)
(f+g)(x) = 3x² + 4x - 6 - 6x³+5x² + 2
(f+g)(x) = 6x³+8x² + 4x - 4
(A)
What is the volume in cubic inches of the cylinder, rounded to the nearest cubic inch? Do not use units or commas in your answer.
Answer: You didn't give any data about the cylinder
Step-by-step explanation:
The cylinder is just an extruded circle. To calculate the cylinder's volume you need to multiply its base circle by the cylinder's height.
To do that, get the circle's radius and square it. Multiply the squared radius by 3.14.
After that, multiply the result by the cylinder's height
what is the product of (3a^2b^7)(5a^3b^8)
Answer:
when multiply with exponents you add so
(3a^2b^7)(5a^3b^8)=15a^5b^13
Hope This Helps!!!
find the eslope of the line pasing throungh the points A(5,-9) and B (-5,7).
Step-by-step explanation:
(7+9)/(-5-5)= 16/-10= -8/5
y + 9 = -8/5(x - 5)
y + 9 = -8/5x + 8
y = -8/5x - 1
Split 120 into the ratio
2:3
Answer:
48 : 72
Step-by-step explanation:
A prism has 2 congruent hexagonal bases like the one shown. Each hexagon is made from 2 congruent isosceles trapezoids.
A hexagon is shown. The hexagon is comprised of 2 congruent isosceles trapezoids. The bases of the trapezoid have lengths of 5 and 8. The height of the trapezoid is 3.
The volume of the prism is 234 cubic units. What is the height of the prism?
3 units
4 units
6 units
8 units
Answer:
the answer is 4 units im pretty sure
Step-by-step explanation:
The height of the prism is 6 units.
The correct option is C.
What is a prism?A prism is a polyhedron in three dimensions with two identical ends.
To find the height of the prism, we need to use the formula for the volume of a prism, which is:
Volume = Base area x Height
Since the prism has two congruent hexagonal bases, we can find the base area by adding the areas of the two congruent isosceles trapezoids.
The area of an isosceles trapezoid is given by the formula:
Area = ((b1 + b2) / 2) x h
where b1 and b2 are the lengths of the two parallel bases, and h is the height of the trapezoid.
In this case, the two parallel bases have lengths of 5 and 8, and the height of each trapezoid is 3, so the area of one trapezoid is:
Area = ((5 + 8) / 2) x 3 = 19.5 square units
The base area of the prism is then:
Base area = 2 x 19.5 = 39 square units
We are given that the volume of the prism is 234 cubic units, so we can use the formula for the volume of a prism to find the height:
Volume = Base area x Height
234 = 39 x Height
Height = 6 units
Therefore, the height of the prism is 6 units.
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Trihao is driving from cambridge to london Assume the distance between cambridge and london is 100 km Given that trihao drives at an average speed of 80km/h work out his journey time
average speed equals distance over time 100/80 will give you 5/4
B. 21cm 32° L 122° D 0 The perimeter of kite LODI is 74 cm. Find:
1. m/LOD=
2. mLODI =
3. Measure of LO = Why?
4.Measure of ID= Why?
1) Angles IDO and ILO are congruent, and both measure 122 degrees. So, as angles in a quadrilateral add to 360°, angle LOD measures 360-122-122-32=84°
2) As referred to in the first question, angle ODI measures 122°
3) In a kite, there are two pairs of disjoint congruent sides. This means that in this case, ID=IL=21 and LO=OD. As the perimeter is 74, this means LO=(74-21(2))/2=16
4) LI=ID, so ID=21
y = 1/4x + 5, (−1, 6)
Answer:
This point is not on the line, NOT TRUE
Step-by-step explanation:
The equation of the line is written in the slope-intercept form,
y = mx + b
where m represents the slope
b represents the y-intercept
where the format of a point is (x, y)
Given: y = 1/4x + 5, (−1, 6)
we can plug in the point (−1, 6)
6 = 1/4(-1) + 5
6 = -1/4 + 5
6 = 4.75
6 does not equal 4.75 so this point is not on the line
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Is (−1, −1) a solution to the following system of inequalities? Show work to verify algebraically. Then, provide an explanation below.
What is the value of cos theta in the diagram below
O 3/5
O3/4
O 4/5
O4/3
The value of cos θ is 3/5.
What is Trigonometry?Trigonometric ratios can be used to determine the ratios of any two sides out of a total of three sides of a right-angled triangle in terms of the respective angles.
Here, given point on circle is (0.6, 0.8) or (3/5 , 4/5)
x - axis (base) = 3/5
y - axis (Perpendicular) = 4/5
Radius (Hypotenuse) = 1
Now, we know
cos θ = Base / Hypotenuse
cos θ = 3/5
Thus, the value of cos θ is 3/5.
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Select the correct answer.
Which expression is equivalent to √48x5, if x > 0?
OA. 12x³√3x
B. 4x³√3
OC. 4x²√3x
OD. 12x²√
Answer: C
Step-by-step explanation:
[tex]\sqrt{48x^{5}}=\sqrt{16x^{4}} \sqrt{3x}=\boxed{4x^{2}\sqrt{3x}}[/tex]
Francisco is playing a game with 3 green, 2 yellow, 4 red, and 3 black marbles in a bag. He has calculated the probability of drawing a yellow marble, not replacing it, and then drawing a red marble. Explain the error in his solution.
The correct answer will be 2/33.
What is Probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Well, the problem is that he does not replace the first marble after he draws it.
Therefore, yes, he has a 2/12 probability of drawing a yellow marble first, but then he has a 4/11 probability of drawing a red marble second, not 4/12.
This is because there are going to only be 11 marbles left in the bag after he draws the first marble and does not replace it.
The correct answer would be:
(2/12)(4/11)
=8/132
=4/66
=2/33
Thus, the correct answer will be 2/33.
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after 1 year, 80% of the initial amount of a radioactive substance remains. what is the half-life of the substance? half-life is
If a radioactive substance remains 80% of the initial amount then the half life of the radioactive substance is 2.5 years.
Given 80% of the initial amount of a radioactive substance remains.
If after 1 year the value or weight of the radioactive substance remains 80% means the rate of disappearing is 20% per annum.
If we clearly observe then it is forming a geometric progression and the rate is 80%.
Geometric progression will be if we assume the initial quantity be 100
is:
100,80,64,.........
we have to calculate the value of years in the value of term is 0.
the value of nth term of a geometric progression is [tex]ar^{n-1}[/tex]
so,
r is 0.8
100*[tex]0.8^{n-1}[/tex]=0
[tex]0.8^{n-1}[/tex]=0
if we calculate this we will find n-1=11
n=12
So the full life of radioactive substance is 12 and the half life will be 6 years.
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Solve for x.
2 In ( x + 6 ) = 10
Corrected question :
Solve for x. 2 ( x + 6 ) = 10Solution :-
>> 2 ( x + 6 ) = 10
Multiplying 2 into (x + 6),
>> 2 × (x + 6) = 10
>> 2x + 12 = 10
Transposing 12 to R.H.S. (Remember that sign would be changed to negative),
>> 2x = 10 - 12
>> 2x = -2
Dividing them,
>> x = -2 / 2
>> x = -1
Answer:
[tex]\displaystyle{x=e^5-6}[/tex]
Step-by-step explanation:
Given the equation:
[tex]\displaystyle{2\ln (x+6)=10}[/tex]
Divide both sides by 2:
[tex]\displaystyle{\ln (x+6)=5}[/tex]
Convert to exponential form using the property of:
[tex]\displaystyle{\ln M = N \to e^N = M}[/tex]
Henceforth, we will have [tex]\displaystyle{e^5=x+6}[/tex] then subtract both sides by 6:
[tex]\displaystyle{x=e^5-6}[/tex]
