Answers
Answer:
y = 9[tex]\sqrt{2}[/tex] inches
Step-by-step explanation:
Since the base angles are congruent then the triangle is isosceles with both legs being equal.
Using Pythagoras' identity in the right triangle
y² = 9² + 9² = 81 + 81 = 162 ( take the square root of both sides )
y = [tex]\sqrt{162}[/tex] = [tex]\sqrt{81(2)}[/tex] = 9[tex]\sqrt{2}[/tex]
Related Questions
Y=-4+b
I need a answer fast and thank you
Answers
If we solve for Y then answer is..
Y=b-4
If we solve for B then answer is..
b=Y+4
(marking brainliest) please help
asap! questions are in the pdf.
Answers
Answer:
1) x = 6 + 2√19 or x = 6 - 2√19
2a) (x + 5)²
2b) (x + 5/2)²
3) x = 22 or 18
Step-by-step explanation:
1) x² - 12x = 40
First step is;
We take ½ of the x-term and square it.
Thus;
(½ × -12)² = (-6)² = 36
Second step is to add the result in step 1 to both sides;
x² - 12x + 36 = 40 + 36
x² - 12x + 36 = 76
On the left, is a perfect square that can be written as (x - 6)²
Thus, the new equation is;
(x - 6)² = 76
Taking square root of both sides gives;
x - 6 = ±√76
x - 6 = ±2√19
x = 6 + 2√19 or x = 6 - 2√19
2a) we want to find the value of c that makes x² + 10x + c the perfect square.
From completing the square in question 1 above, we see that;
c = (b/2)²
From ax² + bx + c, we can see that in this case, b = 10
Thus;
c = (10/2)²
c = 5²
c = 25
Thus, the trinomial is;
x² + 10x + 25
As a perfect square, it is;
(x + 5)²
2b) x² + 5x + c
Similar to 2a above;
b = 5
Thus; c = (5/2)²
c = 25/4
Trinomial is; x² + 5x + 25/4
As a perfect square, we have;
(x + 5/2)²
3) We want to solve x² - 40x + 396 = 0
This can be rewritten as;
x² - 40x = -396
First step is;
We take ½ of the x-term and square it.
Thus;
(½ × -40)² = 400
Second step is to add the result in step 1 to both sides;
x² - 40x + 400 = -396 + 400
x² - 40x + 400 = 4
On the left, is a perfect square that can be written as (x - 20)²
Thus;
(x - 20)² = 4
Taking square root of both sides gives;
x - 20 = ±√4
x - 20 = ±2
x = 20 + 2 or x = 20 - 2
x = 22 or 18
Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical values of the coefficients. ) x2 x2 x 6
Answers
Answer:
The answer is "[tex]\frac{A}{(x-2)} + \frac{B}{(x+3)}[/tex]"
Step-by-step explanation:
Let the given value is: [tex]\frac{x-6}{x^2+x-6}[/tex]
[tex]\to \frac{x-6}{x^2+x-6}=\frac{x-6}{x^2+(3-2)x-6}\\\\[/tex]
[tex]=\frac{x-6}{x^2+(3-2)x-6}\\\\ =\frac{x-6}{x^2+3x-2x-6}\\\\ =\frac{x-6}{x(x+3)-2(x+3)}\\\\ =\frac{x-6}{(x+3)(x-2)}\\\\=\frac{A}{(x-2)} + \frac{B}{(x+3)}[/tex]
A student is given the following polynomial and is asked to answer questions about it:
x5−198x+5x12+4−2x6
The polynomial contains how many terms?
List all of the coefficients of the polynomial.
What is the polynomial’s constant?
What is the leading coefficient of the polynomial?
What is the degree of the polynomial?
Answers
Answer:
Step-by-step explanation:
A term is a combination of letters and/or numbers separated by a + or a - sign. Our polynomial has 5 terms.
A coefficient is a number stuck to a letter...it HAS to be stuck to a letter to be a coefficient. Our coefficients are 1, -198, 5, and -2 (notice I let out the 4).
That's because a constant is a number NOT stuck to a letter. The 4, then, is the only constant in this polynomial.
The leading coefficient is the number that is stuck to the highest-degree variable. Our highest degree variable is a 12 in 5x^12. So the leading coefficient is 5. In order to have a polynomial in standard form, we always list the terms in order of descending powers (highest power to lowest).
The degree is also the same as the highest power in our polynomial. Ours is a 12th degree.
Please help me that is the volume???
Answers
Let us first find the hieght of the triangle:
= 16² = p² + 8²
= 256 = p² + 64
= 256 - 64 = p²
= √192 = p
= 13.85 = p
Area of equilateral trianglular prism:
= ⅓× l² × h
Here, l = length of side and h is height= ⅓ × 16² × 13.85
= 256 × 13.85 × ⅓
= 1181.86 cm³
= 1182 cm³ (approx)
Can anyone help me with this ?
Answers
To solve this problem use the formula below. All you have to do is insert the respective points into the formula and it gives you the radical form.
what is the correct answers
Answers
Answer:
its c
Step-by-step explanation:
PLEASE HELP I WILL VOTE BRAINLIEST IF CORRECT
Graph the following system of equations and find the x-coordinate of the solution.
Choices:
x = -2
x = 3
x = 2
x = 0
Answers
x = 3
y = 8
(3, 8)
Hope this helps! :)
Kara and Karl love steak, fried chicken, hamburgers, mashed potatoes, and french fries. They like green beans and peas. How many different meals including a meat, potatoes and a green vegetable can they make from these choices? 8 meals 16 meals a. C. b. 12 meals d. 24 meals
Answers
Answer:
steak, chicken, and hamburger are meats. 3 meats.
The French fries and mashed potatoes are potatoes. 2 Potatoes.
And Green beans and peas are green vegetables. 2 Vegetables.
I think we just do 3 x 2 x 2 = 12 Meals.
hope that helps bby<3
Consider the equation =2/3log10()−10.7 relating the moment magnitude of an earthquake and the energy (in ergs) released by it. If increases by 6, by what factor does the energy increase?
Answers
Answer:
The energy, 'E', increases by a factor of 1000,000,000
Step-by-step explanation:
The given equation relating moment magnitude of an earthquake and the energy (in ergs) released by it obtained from a similar question online is presented as follows; [tex]M_W = \dfrac{2}{3} \times log_{10} (E) - 10.7[/tex]
Where;
[tex]M_W[/tex] = The moment magnitude
E = The energy
If [tex]M_W[/tex] is increased by 6, we have;
Δ[tex]M_W[/tex] = 6
[tex]\Delta M_W = M_{W2} - M_{W1} = 6[/tex]
From which we get;
[tex]\Delta M_W = M_{W2} - M_{W1} = 6 = \dfrac{2}{3} \times log_{10} (E_2) - 10.7 - \left(\dfrac{2}{3} \times log_{10} (E_1) - 10.7 \right)[/tex]
[tex]6 = \dfrac{2}{3} \times log_{10} (E_1) - 10.7 - \left(\dfrac{2}{3} \times log_{10} (E_2) - 10.7 \right) = \left(\dfrac{2}{3} \right ) \times \left ( log_{10} (E_2) - log_{10} (E_1) \right)[/tex]
[tex]6 = \left(\dfrac{2}{3} \right ) \times \left ( log_{10} (E_2) - log_{10} (E_1) \right) = \left(\dfrac{2}{3} \right ) \times log_{10} \left( \dfrac{E_2}{E_1} \right)[/tex]
[tex]6 = \left(\dfrac{2}{3} \right ) \times log_{10} \left( \dfrac{E_2}{E_1} \right)[/tex]
[tex]log_{10} \left( \dfrac{E_2}{E_1} \right) = 6 \times \left(\dfrac{3}{2} \right ) = 9[/tex]
Therefore;
[tex]\dfrac{E_2}{E_1} = 10^9[/tex]
E₂ = E₁ × 10⁹ = 1000,000,000 × E₁
Therefore, when the moment magnitude, [tex]M_W[/tex], increases by 6, the energy increases by a factor of 1000,000,000
My car cost 3500 I get paid 300 a week how long will it be until I get the car
Answers
Answer:
11 to 12 weeks
Step-by-step explanation:
You need to divide. Your goal is $3500, and you get paid 300 dollars a week. How many weeks will it be till you can get your car?
$3500 divided by 300 = 11.666667
So it would take 12 weeks until you can get the car.
Surface area of a cylinder
Answers
Answer:
A=2πrh+2πr2
Step-by-step explanation:youre welcome
Step-by-step explanation:
πr^2+2πrh
(r= radius, h= height)
What is the simplified expression for -3(2x-y)+2y+2(x+y)
Answers:
8x+y
y-4x
7y-4x
-4x-y
Answers
Answer:
7y - 4x
Step-by-step explanation:
Given
- 3(2x - y) + 2y + 2(x + y) ← distribute parenthesis
= - 6x + 3y + 2y + 2x + 2y ← collect like terms
= 7y - 4x
I REALLY NEED HELP
Look at the following rules for two number patterns. Both patterns start with 40.
Pattern P: "Subtract 2"
Pattern Q: "Subtract 8"
Which statement is true about the corresponding terms in the two patterns?
Starting with 0, the difference between the corresponding terms in the two patterns decreases by 4.
Starting with 0, the difference between the corresponding terms in the two patterns increases by 6.
Excluding the first term, a term in Pattern P is always 6 greater than its corresponding term in Pattern Q.
Excluding the first term, a term in Pattern Q is always 8 greater than its corresponding term in Pattern P.
Answers
Answer:
Option CStep-by-step explanation:
Pattern P, the nth term formula:
Pₙ = 40 - 2nPattern Q, the nth term formula:
Qₙ = 40 - 8nThe difference is:
Pₙ - Qₙ = 40 - 2n - 40 + 8n ⇒ Pₙ - Qₙ = 6nIt shows the difference increase by 6 as the number of terms increase.
According the the difference of nth terms, the correct statement is:
Excluding the first term, a term in Pattern P is always 6 greater than its corresponding term in Pattern Q.I need help asap pls pls pls...
Answers
Answer:
c)
Step-by-step explanation:
please don't trust ;-;
Which expression equivalent to -49(4)+2/3?
Answers
Answer:
-195.34
Step-by-step explanation:
Given data :
-49(4)+[tex]\frac{2}{3}[/tex]
It can be calculated as :
-196+0.66
-195.34
Therefore, given expression is equivalent to -195.34
Six kids and two adults are going to the circus. Kid's tickets are on sale for only half the price of adult tickets. The total cost is $48. How much is one kids ticket? -how much is one adult ticket
Answers
Answer:
One kids ticket is $4.80 and one adult ticket is $9.60
Step-by-step explanation:
Create a system of equations where k is the cost of a kids ticket and a is the cost of an adult ticket:
6k + 2a = 48
k = 1/2a
Solve by substitution by substituting the second equation into the first one:
6k + 2a = 48
6(1/2a) + 2a = 48
Simplify and solve for a:
3a + 2a = 48
5a = 48
a = 9.6
Find the cost of a kids ticket by dividing this by 2, since they are on sale for half the price of adult tickets.
9.6/2
= 4.8
One kids ticket is $4.80 and one adult ticket is $9.60
Find P (Sophomore|Boy) Hint: P(A and B) P(B) Classroom of Students Boys Girls Freshman 4 4 8 Sophomores 7 12 Junior 2 3 5 Senior 4 5 12 18 Reduce your fraction to lowest terms. Enter the number that belongs in the green box. Enter
Answers
Answer:
5/12
Step-by-step explanation:
Here, we want to select the probability that the selected student is a sophomore given that he is a boy
In this case;
P(B) = P(boy)
P(A) = P(sophomore)
What we know is that the probability for any section is simply the number of that section divided by the total number of students which is 12 + 18 = 30
From the table;
P(B) = 12/30
P(An B) = 5/30
So;
P(A|B) = 5/30 divided by 12/30
= 5/30 * 30/12 = 5/12
What expression is equal to COS B????
Answers
Answer:
A/C
Step-by-step explanation:
Since the sum of the angles in a triangle equals 180°, and angle C is 90°.
That means angles A and B add up to 90°, that is, they are complementary angles. Therefore the cosine of B equals the sine of A.
We saw on the last page that sin A was the opposite side over the hypotenuse, that is, a/c. Hence, cos B equals a/c.
Your welcome! :)
20 Points!!!
A ping pong ball is released from a height of 60 centimeters (cm) and bounces to a height that is 3/4 the previous height. What function estimates the height, H, in cm of the ping pong ball after x bounces?
Enter a number in each empty box to correctly complete the function.
H = ____ (____)^x
Answers
Multiply the starting height (60) by the height of each bounce (3/4) raised to the number of bounces (x)
H = (60)(3/4)^x
The answer to the given expression is:
H = 60(3/4)^x
What do we mean by exponents?A number is raised by another number which is called the power/exponent which implies that the number is multiplied by itself for that many number of times.
How do we solve for H?After every release, it bounces 3/4th of the previously released height.
After 1st bounce H = 60(3/4)
After 2nd bounce, it will be 3/4th of the previous H,
∴ H = 60(3/4)(3/4) = 60(3/4)^2
Similarly, after the 3rd bounce, it will be 3/4th of the previous H,
∴ H = 60(3/4)^2 * (3/4) = 60(3/4)^3
So it goes on like this. After x bounces,
H = 60(3/4)^x
Learn more about the Exponents at
https://brainly.com/question/11464095
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Which statement shows the correct value for the exponential
expression 34?
O 4x 4x4=64
O 3x4=12
3x3x3x3=81
O 3x3x3 = 27
Answers
Answer:
B. 3 x 3 x 3 x 3 = 81
Step-by-step explanation:
exponential expression 3⁴
This means multiplying 3 four times
= 3 × 3 × 3 × 3
= 81
B. 3 x 3 x 3 x 3 = 81 is the answer
Similarly, if you have 5³
This means you'll multiply 5 three times
5³ = 5 × 5 × 5
= 125
And
3¹ =
3 one time
3¹ = 3
Hannah and Sam are working on a coding project together. Hannah has created 7x+78 lines of code, and Sam has written 6x + 73 lines of code. Hannah has written 142 more lines of code then sam. find the value of x
Answers
Answer:
x = 137
Step-by-step explanation:
To find the value of x you must first set up an equation to solve for x. We are told that Hannah has written 142 more lines than Sam so we can make an equation by subtracting Sam's total from Hannah's total.
(7x + 78) - (6x + 73) = 142
Hannah - Sam = Difference
We then begin to solve. First we must distribute the subtraction to all parts of Sam's equation, creating a new equation of:
7x + 78 - 6x - 73 = 142
Then put like terms together
7x - 6x + 78 - 73 = 142
7x - 6x = x
78-73 = 5
x + 5 = 142
Then isolate the x by subtracting the 5.
x + 5 (-5)= 142 (-5)
x = 137
Then plug it back into the equation to check and see if your x is correct
(7x + 78) - (6x + 73) = 142
(7(137) + 78) - (6(137) + 73) = 142
(959 + 78) - (822 + 73) = 142
(1037) - (895) = 142
MARK ME BRAINLIEST PLEASE ❤️
The value of x is 137.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Hannah has created: 7x+78 lines of code
Sam has written: 6x + 73 lines of code.
Now, Hannah has written 142 more lines of code then sam.
So, Hannah - Sam = Difference
(7x + 78) - (6x + 73) = 142
7x + 78 - 6x - 73 = 142
7x - 6x + 78 - 73 = 142
x + 5 = 142
x = 142 (-5)
x = 137
Hence, the value of x is 137.
Learn more about Algebra here:
https://brainly.com/question/24875240
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Consider the division of 3b2+9b+4 by 3b.
Answers
Answer:
[tex]b + 3 + \frac{4}{3b}[/tex]
Step-by-step explanation:
[tex]\frac{3b^2 + 9b + 4}{3b}[/tex]
=> 3b²/3b = b
=> 9b/3b = 3
=> 4/3b = 4/3b
Therefore the final answer would be;
[tex]b + 3 + \frac{4}{3b}[/tex]
Hope this helps!
if x and 5x are supplementary angles, find them
Answers
Answer:345678098321
Step-by-step explanation: I think so lol
Answer:
x+5x=180( adj.suppl.ls)
6x=180
6x÷6=180÷6
x=30
Luis is building a new deck and needs to have a slab in of concrete poured.he knows the contractor charges an initial coast of $75 plus an additional $2.50 per square foot of concrete.which equation can be used to determine the coast (y),in dollars,to pour a concrete slab with an area of x square feet.
Answers
Answer:
[tex]y = 2.5x + 75[/tex]
Step-by-step explanation:
Please help will mark brainliest
Answers
Answer:
4 th option
Step-by-step explanation:
Using synthetic division to find the quotient
- 2 | 1 - 4 + 5 - 2
↓ - 2 + 12 - 34
------------------------------
1 - 6 + 17 - 36 ← remainder
The quotient is x² - 6x + 17
Then
[tex]\frac{x^3-4x^2+5x-2}{x+2}[/tex] = x² - 6x + 17 - [tex]\frac{36}{x+2}[/tex]
Find the measure of each numbered angle.
Answers
Answer:
Angle 1 - 148
Angle 2 - 32
Angle 3 - 73
Angle 4 - 148
Angle 5 - 105
Step-by-step explanation:
Angle 1 forms a line with angle 32 and equals 180, therefore Angel 1 = 180 - 32 = 148
Angle 2 has the same value as the opposing angle, 32
Angle 3 combined with 32 and 75 equals 180, therefore
Angle 3 = 180 - 32 - 75
Angle 3 = 73
Angle 4 is equal to angle 1
Angle 5 combined with 43 and Angle 2 (32) equals 180
Angle 5 = 180 - 43 - 32
Angle 5 = 105
A right triangle has a hypotenuse of 15. What are possible side lengths?
(No links )
Answers
Answer:
√200 and 5, √125 and 10
Step-by-step explanation:
Find the opposite of each polynomial.
Answers
Answer:
Step-by-step explanation:
The word "opposite" is indicated by the - sign out front. Mathematically, we multiply a -1 into the parenthesis which, not coincidentally, changes the signs of everything inside the parenthesis, making them "opposite". The opposite of this polynomial is
- a - b - c
Do as directed:
p = 2n2 n = -3 Work out the value of p.
A)17
B)18
C)-18
(Working not needed)
Answers
Answer:
p = 18
Step-by-step explanation:
given : n = -3
p = 2n^2
p=2*(-3)^2
p=2*8
p=18
