Answer:
[tex]\boxed{Circuit_{\Delta ABC} = 15~cm }[/tex]
Step-by-step explanation:
The ABC triangle is an equilateral triangle.
[tex]\mid AB\mid = \mid BC\mid = \mid AC\mid[/tex]
The drawing in the attachment.
I am entering meaningfully:
a - side length of an equilateral triangle
[tex]a=\mid AB\mid = \mid BC\mid = \mid AC\mid[/tex]
[tex]P_{\Delta} =\dfrac{a^{2} \sqrt{3} }{4}[/tex] - equilateral triangle area formula
[tex]P_{\Delta} =\dfrac{25 \sqrt{3} }{4}~~\land~~P_{\Delta} =\dfrac{a^{2} \sqrt{3} }{4}~~\Rightarrow~~\dfrac{a^{2} \sqrt{3} }{4}=\dfrac{25 \sqrt{3} }{4}\\\\\\\dfrac{a^{2} \sqrt{3} }{4}=\dfrac{25 \sqrt{3} }{4}~~\mid~~\div ~~\dfrac{\sqrt{3} }{4} \\\\\\\dfrac{a^{2} \sqrt{3} }{4}\cdot \dfrac{4}{\sqrt{3} } =\dfrac{25 \sqrt{3} }{4}\cdot \dfrac{4}{\sqrt{3} } \\\\a^{2} =25~~\\\\a^{2} =5^{2} ~~\land~~a > 0~~\Rightarrow~~\boxed{a=5~cm}\\\\\\[/tex]
[tex]Circuit_{\Delta ABC} =a+a+a\\\\Circuit_{\Delta ABC} =3a~~\land~~a=5~cm\\\\\boxed{Circuit_{\Delta ABC} =3\cdot 5 = 15~cm }[/tex]
The perimeter of the triangle ABC is 15.sin x = 15/2
COS X =
√95
12
Answer:
[tex]\sqrt{95}/5[/tex]
Solve each system by elimination.
10x-6y=-8
-10x+6y=8
Answer:
Infinitely Many Solutions
Step-by-step explanation:
[tex]10x-6y=-8\\-10x+6y=8\\\0 = 0\\[/tex]
the graph of F(x) shown below resembles the graph of G(x) =x^2 but it has been changes somewhat. Which of the following could be the equation of F(x)
Using translation concepts, the equation of the graph F(x) is given as follows:
F(x) = -x² - 3.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Researching this problem on the internet, the graph of G(x) = x² was reflected over the axis(multiplied by -1), and shifted down 3 units(F(x) -> G(-x) - 3), hence the equation for F(x) is:
F(x) = -x² - 3.
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Is the graph increasing, decreasing, or constant?
A. Constant
B. Increasing
C. Decreasing
Answer:
C. Decreasing
Step-by-step explanation:
The graph is decreasing because the graphed line read from left to right is slanting down.
Hope this helps!
If not, I am sorry.
Answer:
DecreasingStep-by-step explanation:
Hello
If a graph is constant, it doesn't have any change at all.
If a graph is increasing, it looks like this-:
[tex]\Huge\nearrow[/tex]
If a graph is decreasing, it looks like this-:
[tex]\searrow[/tex]
Since the given graph is most similar to [tex]\searrow[/tex], it's decreasing.
[tex]\pmb{\tt{done~!!}}[/tex]
[tex]\orange\hspace{300pt}\above2[/tex]
100% of x and also 200% of y
Hello !
Answer :
100% of x ⇒ 100/100 × x = 1 × x = x
200% of y ⇒ 200/100 × y = 2 × y = 2y
Multiply Conjugates Using the Product of Conjugates Pattern
In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
322. (m − 7)(m + 7)
Answer:
The product is the difference of squares is [tex]$$\left(m-7\right)\left(m+7\right)={{m}^2}-49$$[/tex]
Step-by-step explanation:
Explanation
The given expression is (m-7)(m+7).We have to multiply the given expression.Square the first term m. Square the last term 7 .[tex]$$\begin{aligned}&(m-7)(m+7)=(m)^{2}-(7)^{2} \\&(m-7)(m+7)=m^{2}-49\end{aligned}$$[/tex]
what is the value of 3ypower zero
Answer:
3
[tex]3 {y}^{0} [/tex]
[tex] = 3 \times 1[/tex]
[tex] = 3[/tex]
If any numbers or constant power is zero then it will be 1
Answer:
3
Step-by-step explanation:
So anything to the power of zero is equal to 1. So you have the equation: [tex]3y^0=3(1)=3[/tex]
If this doesn't make much sense, I sometimes like to use identities to show why this is. So since you're most likely learning exponents, you likely know the identity: [tex]\frac{x^a}{x^b}=x^{a-b}[/tex] well you can use this identity to express the equation: [tex]\frac{x^a}{x^a}=x^{a-a}=x^0[/tex]. and since x^a should equal x^a, and it's being divided by it self, this is equal to 1.
Btw if you didn't understand the identity: [tex]\frac{x^a}{x^b}=x^{a-b}[/tex] I'll try to briefly explain it. The reason this is true, is because you can cancel stuff out if it's being multiplied in the denominator and numerator. For example: [tex]\frac{3a}{3}[/tex]. I can cancel out the 3, because if I multiply 3 by a, and then divide by 3, I'm going to be left with a, because they're inverse to each other. This should hold true for exponents. So you can think of the identity more like: [tex]\frac{x*x*x...\text{a amount of times}}{x*x*x\text{b amount of times}}[/tex] seeing it like this might help understand why you subtract, since you're just cancelling out the x's.
I'll give you a more definitive example to help you grasp it in an example so: [tex]\frac{2^4}{2^2}=\frac{2*2*2*2}{2*2}=\frac{2*2}{1}=2^2[/tex]. See how I canceled out 2 of the 2's, well all I was really doing was subtracting 2 from the degree of the numerator, or in other words I was subtracting the degree of the denominator from the numerator since the bases were the same which is exactly what the identity is doing.
can anyone slove this with the formulas
Answer:
Lemo shared pizza with four friends
=============
Let the pizza was shared between x people.
Set up equation and solve for x:
3 1/3 ÷ x = 2/310/3 ÷ x = 2/3x = 10/3 ÷ 2/3x = 10/3 × 3/2x = 10/2x = 5If we exclude Lemo, the number of friends is 4.
A binary operation∆is defined on the set of real number R by x∆y=x²+y-2xy. evaluate (2∆½)
Answer:2.5
Step-by-step explanation:
4+1/2-2=2 1/2 according to the formula
The instructions for building a kite tell you to begin by cutting a strip of wood to 45 cm in length, but your ruler only measures inches. How many inches should the piece of wood be? Round to the nearest quarter of an inch.
(Recall: 1 in. = 2.54 cm)
a.
b.
c.
d.
The length of the piece should be 17.716 inches.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
length = 45 m
one inch = 2.54 cm
So, length of strip would be
=45/2.54
=17.716
Hence, the length of the piece should be 17.716 inches.
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What is 36 as the product of powers of 2 and 3
Answer:
your answer please mark me as brainlist
How do i solve f(x)=log3(x-2)-2
To have solution for f(x)=log3(x-2)-2. x must be x >2 or x ( 2, ∞) .
f(x)=log3(x-2)-2
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.
Since,
f(x)=log3(x-2)-2
The above function will goes to infinity when we put x = 2.
So the given function has solution for x > 2.
Thus, the To have solution for f(x)=log3(x-2)-2. x must be x >2 or x ( 2, ∞) .
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Factor completely, −5x^2 + 10x − 25
[tex]\bf{-5x^{2} +10x-25 }[/tex]
[tex]\bf{Rewrite \ 10 \ as:5\cdot2.}[/tex]
[tex]\bf{Rewrite \ 25 \ as:5\cdot5.}[/tex]
[tex]\bf{=-5x^2+5\cdot \:2x-5\cdot \:5}[/tex]
[tex]\bf{Factor \ the \ common \ term \ 5.}[/tex]
[tex]\bf{=5(-x^{2} +2x-5) \ \ \to \ \ \ Answer }[/tex]
{ Pisces04 }How do you write 9.26 as a fraction?
Answer:
463/50 or 9 13/50
Answer:
9.26=9 13/50
Step-by-step explanation:
Rewrite the decimal number as a fraction with 1 in the denominator
9.26=9.26/1
Multiply to remove 2 decimal places. Here, you multiply top and bottom by 10^2 = 100
9.26/1×100/100=926/100
Find the Greatest Common Factor (GCF) of 926 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 2,
926÷2/100÷2=463/50
Simplify the improper fraction,
=9 13/50
In conclusion,
9.26=9 13/50
The perimeter of a rectangular piece of paper is 28 inches. The area is 45 square inches. What are the dimensions of the paper?
The dimensions of the paper are 9 by 5 inches
How to determine the dimensions?Let x represent the length and y, the width
The given parameters are:
Perimeter, P = 28
Area, A = 45
So, we have
P = 2(x + y) = 28
A = xy = 45
Rewrite as:
2(x + y) = 28
xy = 45
By trial by error, we have:
x = 9 and y = 5
This can be proved as follows:
2(9 + 5) = 28--- true
9 * 5 = 45 --- true
Hence, the dimensions of the paper are 9 by 5 inches
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The function (x) is a transformation of the square root parent function,
f(x)=√. What function is /(x)?
5
-5
f(x)
h(x)
O A. h(x)=√x-2
OB. h(x)=√√T-2
OC. h(r)=√x+2
O D. h(x)=√x+2
Hello,
check for x = 2, we can see h(x) = 0
h(x) = √(x - 2) ⇒ h(2) = √(2 - 2) = √0 = 0 ⇒ ok
h(x) = √x - 2 ⇒ h(2) = √2 - 2 ≠ 0 ⇒ not this answer
h(x) = √x + 2 ⇒ h(2) = √2 + 2 ≠ 0 ⇒ not this answer
h(x) = √(x + 2) ⇒ h(2) = √(2 + 2) = √4 ≠ 0 ⇒ not this answer
So the answer is h(x) = √(x - 2)
Please help with this
Step-by-step explanation:
[tex] = \frac{14\pi}{6} [/tex]
[tex] = \frac{ \cancel{14}\pi}{ \cancel6} [/tex]
[tex] = \frac{7\pi}{3} [/tex]
[tex] = \frac{6\pi + \pi}{3} [/tex]
[tex] = \frac{6\pi}{3} + \frac{\pi}{3} [/tex]
[tex] = 2\pi + \frac{\pi}{3} [/tex]
[tex] = 0 + \frac{\pi}{3} [/tex]
[tex] = \frac{\pi}{3} \: \text{where} \: \frac{\pi}{3} < 2\pi[/tex]
The answer is B.
Which expression is a prime polynomial?
A. 3x2+18y
B. x3−27y6
C. 10x4−5x3+70x2+3x
D. x4+20x2−100
The expression that is a prime polynomial is:
B. [tex]x^3 - 27y^2[/tex].
What is a prime polynomial?A prime polynomial is a polynomial that cannot be factored.
In this problem, item b gives a prime polynomial, as:
In item a, 3 is a common factor, hence the polynomial can be factored.In item c, x is a common factor, hence the polynomial can be factored.In item d, the polynomial can be factored according to it's roots.More can be learned about prime polynomials at https://brainly.com/question/26388060
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A company's prospectus includes:
A) The company's investment options.
B) The company's guaranteed return strategy.
C) The company's revenue and net worth.
D) The company's research
A company's prospectus includes: A) The company's investment options.
What is a company's prospectus?Company's prospectus can be defined as the document that entails detail information of a company investment option that are available for sales to potentials buyers or investors.
Examples of the investment options are:
BondsStocksMutual Funds etcTherefore the correct option is A.
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A company's prospectus is a formal legal document designed to provide information and full details about an investment offering for sale to the public.
When David was asked how old he was, he said " I'm three times younger than my dad, but twice as old as Rebecca. " Then little Rebecca ran up to him and declared "i am 30 years younger than my dad". How old is David
Using a system of equations, it is found that David is 12 years old.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The variables are given as follows:
Variable x: David's age.Variable y: Dad's age.Variable z: Rebecca's age.David is three times younger than the dad and twice as old as Rebecca, then:
x = y/3 -> y = 3x.x = 2z.Rebecca is 30 years younger than the dad, hence:
z = y - 30.
Then, since x = 2z and z = y - 30 and y = 3x, we solve for x to find David's age.
x = 2(y - 30)
x = 2(3x - 30)
x = 6x - 60
5x = 60
x = 60/5
x = 12.
David is 12 years old.
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Which equation are true
A. 3^4)(3^5)=3^9
B.8^6=1\-6
C
Determine whether the geometric series 27 + 18 + 12 + 8 + ... converges or diverges, and identify the sum if it exists.
A geometric sequence goes from one term to the next by always multiplying or dividing by the constant value except 0. The constant number multiplied (or divided) at each stage of a geometric sequence is called the common ratio (r).
A geometric series is the sum of an infinite number of terms of a geometric sequence.
A geometric series is convergers if |r| < 1.
A geometric series is diveres if |r| > 1.
Calculate the common ratio:
[tex]r=\dfrac{18}{27}=\dfrac{18:9}{27:9}=\dfrac{2}{3}\\\\r=\dfrac{12}{18}=\dfrac{12:6}{18:6}=\dfrac{2}{3}\\\\r=\dfrac{8}{12}=\dfrac{8:24}{12:4}=\dfrac{2}{3}[/tex]
[tex]\left|\dfrac{2}{3}\right| < 1[/tex]
The geometric series is converges.Therefore exist the sum.
Formula of a sum of a geometric series:
[tex]S=\dfrac{a_1}{1-r},\qquad|r| < 1[/tex]
Substitute:
[tex]a_1=27,\ r=\dfrac{2}{3}[/tex]
[tex]S=\dfrac{27}{1-\frac{2}{3}}=\dfrac{27}{\frac{1}{3}}=27\cdot\dfrac{3}{1}=81[/tex]
[tex]\huge\boxed{S=81}[/tex]
How many solutions does this linear system have?
y = 2/3+ 2
6X - 4y = -10
one solution: (-0.6, -1.6)
one
solution; (-0.6, 1.6)
no solution
infinite number of solutions
The solution to the system of equation is (-0.6, 1.6)
Given the system of linear equations as shown:
y = 2/3x+ 2 .................. 1
6x - 4y = -10................ 2
Substitute equation 1 into 2 to have:
6x - 4(2/3x + 2) = -10
6x - 8/3 x - 8 = -10
10/3 x = -2
10x = -6
x =-0.6
Determine the value of y
y = 2/3x + 2
y = 2/3 (-0.6) + 2
y = -0.4 + 2
y = 1.6
Hence the solution to the system of equation is (-0.6, 1.6)
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The owner of a farm plants apple trees and mango trees in a ratio of 16:6. How many oak trees are planted if 198 mango trees are planted?
Answer:528 apple trees
Step-by-step explanation:Listen 198/6=33 so then just multiply 33x16 that equals 528 hope this helps
What are the factors of the trinomial?
(x + 1) and (x – 4)
(x + 4) and (x – 1)
(x + 5) and (x – 4)
(x + 4) and (x – 5)
the highest of three cylinders are 3 cm 9 cm and 5 cm if the cylinder has a capacity of 725 calculate the capacitance of the other cylinders
The capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.
How to find the capacitanceCapacity of a cylinder is seen as its volume
Volume of a cylinder = πr²h
The heights of the cylinders are
a. 3cm
b. 9cm
c. 5cm
Let's find the radius
Capacity = 3. 142 × r² × 3
725 = 3. 142 × r² × 3
r² = [tex]\frac{725}{3. 142 * 3}[/tex]
r² = [tex]\frac{725}{9. 426}[/tex]
r² = 76. 91
r = √76. 91
r = 8. 77cm
Radius of the cylinders = 8. 77cm
For cylinder with height of 9cm
Capacitance = πr²h
Capacitance = 3. 142 × 8. 77 × 8. 77 × 9
Capacitance = 2174. 94 cm³
For cylinder with height of 5cm
Capacitance = 3. 142 × 8. 77 × 8. 77 × 5
Capacitance = 1208. 30 cm³
Thus, the capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.
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Find the volume of each solid. Round to the nearest hundredth. Show your work
Select the correct answer. two triangles, abc and cde, share a common vertex c on a grid. in triangle abc, side ab is labeled 4x minus 1, side bc is labeled 4, side ac is labeled 5. in triangle cde, side cd is labeled 5, side de is labeled x plus 2, side ce is labeled 4. if geometry symbol represented as small triangle with three sides. abc a geometry symbol represented as small triangle with three sides. dec, what is the value of x? a. x = 8 b. x = 5 c. x = 4 d. x = 1 e. x = 2
The value of x based on the information given in the triangle is D. x = 1.
How to compute the value?From the information given, it stated that the triangles are similar.
In this case, both triangles have side 4 and 5. Therefore, we are to find the last side. This will be:
4x - 1 = x + 2
Collect like terms
4x - x = 2 + 1
3x = 3
x = 3/3
x = 1
Therefore, the correct option is D.
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Answer:
x=1
Step-by-step explanation:
Pls help 20 points :)
Answer:
49 cm²
Step-by-step explanation:
Half circle: 1/2 π r² ≈ 1/2 * 3.14 * 16 = 25.12
Rectangle: 3*8 = 24
Add them: 25.12 + 24 ≈ 49
Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be?
Answer:
9$
Step-by-step explanation:
$3.49 rounds to 3 dollars since it is not half of a dollar. If it was $3.50 (which is half of a dollar) it would round to 4 dollars, but it isn't so it just rounds to $3. $1.14 rounds to one dollar, but since there were three of them there will be a total of three dollars (approximately) in oranges. $3.46 rounds to $3. Add all three estimates together and you get 9 dollars :)