Answer:
3t+11
Step-by-step explanation:
A pentagon has 5 sides
Perimeter is the total measurement around an object=20t+7
we have not been given the 5th side measurement so lets make it x
6t +2t+4t-5+5t+1+x=20t+7
put the liketerm together i e
6t+2t+4t+5t-20t+x=7+5-1
17t-20t+x=11
-3t+x=11
x=11+3t.
So the measurements of the fifth side is 11+3t same as 3t+11
Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?
9xy3 – 4y4 – 10x2y2 + x3y + 3x4 + 2x2y2 – 9y4
–13y4 + 3x4 – 8x2y2 + x3y + 9xy3
–13y4 + x3y – 8x2y2 + 9xy3 + 3x4
3x4 – 8x2y2 + x3y + 9xy3 – 13y4
3x4 + x3y – 8x2y2 + 9xy3 – 13y4
Answer:
D. [tex]3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]
Step-by-step explanation:
[tex]9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4 =[/tex]
[tex]= 9xy^3 - 13y^4 - 8x^2y^2 + x^3y + 3x^4[/tex]
[tex]= 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]
The standard form of a polynomial is the general way of writing the polynomial.
The standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]
The polynomial expression is given as:
[tex]9xy^3 - 4y^4 -10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4[/tex]
Collect like terms
[tex]9xy^3 - 4y^4 - 9y^4 -10x^2y^2 + 2x^2y^2 + x^3y + 3x^4[/tex]
Evaluate the like terms
[tex]9xy^3 -13y^4 -8x^2y^2 + x^3y + 3x^4[/tex]
Rewrite the polynomial in decreasing order of the power of x
[tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]
Hence, the standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]
Read more about polynomials at:
https://brainly.com/question/2833285
find the value of each trigonometric ratio part 2
Answer:
15/17
12/37
12/13
20/21
Step-by-step explanation:
5)
cos A = adj/hyp = 15/17
6)
cos C = adj/hyp = 12/37
7)
cos Z = adj/hyp = 36/39 = 12/13
8)
tan A = opp/adj = 20/21
Please HELP. ALSO WHY. 2 question. pLZZ
Answer:
1). Number of kids on the other side = 16
2). Brian took the time to each piece of pie = 20 seconds
Step-by-step explanation:
1). Let the number of kids on one side = x
Then the number of kids on other side = 2x
3 adults helped the side having number of kids = x, then the number of people on this side = x + 3
Since the total number of people on this side = 11
Then the equation will be,
x + 3 = 11
x = 11 - 3
x = 8
Then number of kids on the other side = 2x = 2×8
= 16
2). By unitary method,
∵ Brian took the time to eat 6 pieces of the pie = 2 minutes
∴ Brian will take time to eat 1 piece of pie = [tex]\frac{2}{6}[/tex] minutes
= [tex]\frac{2}{6}\times 60[/tex] seconds
= 20 seconds
Please solve 1/3 ÷ 2/3
Answer:
1/2
Step-by-step explanation:
[tex]\dfrac{1}{3}\div \dfrac{2}{3}=\\\\\dfrac{1}{3}\times\dfrac{3}{2}=\\\\ \dfrac{3}{6}=\\\\\dfrac{1}{2}[/tex]
Hope this helps!
Anyone know the answer ?
Answer:
n = 7
Step-by-step explanation:
[tex]Area \: of \: \triangle = \frac{1}{2} \times base \times height \\ \\ 12 = \frac{1}{2} \times (n + 5) \times (n + 5 - 10) \\ \\ 12 \times 2 = (n + 5)(n - 5) \\ \\ 24 = {n}^{2} - {5}^{2} \\ \\ 24 = {n}^{2} - 25 \\ \\ 24 + 25 = {n}^{2} \\ \\ {n}^{2} = 49 \\ \\ n = \pm \: \sqrt{49} \\ \\ n = \pm \: 7 \\ \\ n = - 7 \: \: or \: \: n = 7 \\ [/tex]
Answer:
n = -7 ∪ 7
=> n = |7|
Step-by-step explanation:
S = 12cm = (n + 5) * (n + 5 - 10) / 2
[tex]S = 12cm = \frac{(n + 5) * (n + 5 - 10)}{2}\\\\=> 12 = \frac{(n+5)(n-5)}{2} \\12 = \frac{n^2-25}{2} \\24 = n^2 - 25\\-n^2 = -25 - 24\\-n^2 = - 49\\n^2 = 49\\n = |7| =>\\ x_1 = -7\\x_2 = 7\\[/tex]
5 Points
Rebecca is given two triangles, AABC and A DEF. At first glance, she thinks
that the triangles are congruent. How can she use what she knows about
rotations and triangle congruence to prove the triangle congruence?
Answer:
A
Step-by-step explanation:
Rotating ABC 90° will make segment AB parallel to segment DE, facilitating comparison of sides and angles. The triangles are marked with two angles and the side between them, so the appropriate theorem to use is the ASA theorem. (That theorem refers to a side (S) between two angles (A..A).)
She can use what she knows about rotations and triangle congruence to prove that triangle congruence as per option A.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
As per the given figure, we have triangles in which two angles and one side are equal.
∠A = ∠E = 65° (angle)
BA = ED (side)
∠A = ∠E = 30° (angle)
By rotating ABC 90°, section AB becomes parallel to segment DE, allowing for easier comparison of sides and angles. Because the triangles are defined by two angles and the side between them, the ASA theorem is relevant. (This theorem is about a side (S) between two angles (AA).)
Thus, the correct answer is option A.
Learn more about congruent triangles here:
brainly.com/question/4364353
#SPJ7
Which arcs are congruent? Check all that apply. Arc B C ≅ Arc M P Arc B C ≅ Arc M O Arc C F ≅ Arc K P Arc E G ≅ Arc K L Arc L O ≅ Arc M P
Answer:
Step-by-step explanation:
The arcs that are congruent are:
Arc B C ≅ Arc M P. Arc E G ≅ Arc K L. Arc L O ≅ Arc M P.What congruent angles in math?
Two geometric figures can be described as congruent if on can be superpose on the other.
Conclusively, congruent' is said to be a word that connote 'exactly equal' when looking at the shape and size of the angles. The options chosen above are congruent because they have the sides to be equal.
Learn more about congruent from
https://brainly.com/question/2938476
(—5t^3+4t^2—t)—(8t^2+t)
Answer:
Step-by-step explanation:
Ivan and Polina have each drawn a conclusion about multiplying negative fractions. Ivan: The product of an even number of negative fractions is always positive. Polina: The product of an odd number of negative fractions is always negative. Whose conclusion is correct?
Answer:
Both conclusions are correct
Step-by-step explanation:
Ivan: The product of an even number of negative fractions is always positive.
When even numbers of same negative fractions are multiplied together, the product is positive.
For instance: -1 × -1
Since the total numbers to be multiplied are even (two -1), the product becomes +1
Ivan's conclusion is correct.
Polina: The product of an odd number of negative fractions is always negative.
When odd numbers of same negative fractions are multiplied together, the product is negative.
For instance: -1 × -1 × -1 × -1 ×-1
Since the total numbers to be multiplied are odd (five -1), the product becomes -1
(-1 × -1) × (-1 × -1) ×-1
= +1 × +1 × -1
The multiplication of same sign gives positive value while the multiplication of two different signs gives a negative value
= +1 × -1
= -1
Polina's conclusion is correct
Both are correct.
Answer:
both of them
Step-by-step explanation:
*EASY GRADE 7 MATH*
BEST ANSWER WITH EXPLANATION WILL BE MARKED BRAINLIEST!
Use the diagram to answer the questions. Find the value of Z. *Use image given above* :)
Step-by-step explanation:
We can see from the image that z and 20° degrees are complementary, meaning they have a sum of 90°. From this, z = 70°. Hope this helps!
Answer:
70
Step-by-step explanation:
Z is part of a right angle so 90-20 is 70
The number of State Parks in California is 36 more than one third the number of State Parks in Florida. There are 85 State Parks in California. Which of the following equations would you use to find the number of State Parks in Florida? Note: f represents the number of state parks in Florida
Answer:
number of state parks in Florida is 147.
Equation is 1/3(f) + 36 = 85
Step-by-step explanation:
Given that f represents the number of state parks in Florida.
Also given that number of State Parks in California is 36 more than one third the number of State Parks in Florida
number of State Parks in California = 1/3 (number of State Parks in Florida) + 36
but it is given that There are 85 State Parks in California
and f represents the number of state parks in Florida
85 = 1/3(f) + 36 _________equation
=> 85 - 36 = 1/3 (f)
=> 49 = 1/3 f
=> 49*3 = f
=> f = 147
Thus, number of state parks in Florida is 147.
Equation is 1/3(f) + 36 = 85
When will 4a ≤ 16 be true?
Answer:
It will be true when a ≤ 4
Step-by-step explanation:
You can plug in the number to see if it is correct. 4(4) ≤ 16. Sorry, I'm not the best at explaining things.
Jill converted the equation of the line 15 x minus 14 y = negative 2 into slope-intercept form and found the slope and y-intercept of the line as follows. 15 x minus 14 y = - 2. 15 x minus 4 y minus 15 x = - 2 minus 15 x. - 4 y = -2 minus 15 x. - 4 y Over - 4= - 2 minus 15 x Over - 4 Y = - 2 Over -4 minus 15 x Over - 4 . y = one-half minus 15 Over 4 x. y = - 15 Over 4x + one-half. slope = -15 Over 4. y-intercept = one-half. What was her mistake? She mixed up the slope and the y-intercept. She got the sign of the slope wrong. She got the sign of the y-intercept wrong. She found the reciprocals of the slope and the y-intercept.
Answer:
B. She got the sign of the slope wrong.
Step-by-step explanation:
This is the correct answer for edge
Answer:
B
Step-by-step explanation:
She got the sign of the slope wrong.
Find a linear second-order differential equation F(x, y, y', y'') = 0 for which y = c1x + c2x4 is a two-parameter family of solutions. Make sure that your equation is free of the arbitrary parameters c1 and c2. (Use yp for y' and ypp for y''.)
Answer:
[tex]4y+ y"x^2-4y'x = 0[/tex]
↓
[tex]F(x, y, y', y'') = 0[/tex]
Step-by-step explanation:
From the information given:
[tex]y = c_1x + c_2x^4 \\ \\ y^1'= c_1 + 4c_2x^3 \\ \\ c_1 =y' - 4c_2x^3 \\ \\[/tex]
So;
[tex]y = y'x -4c_2x^4+c_2x^4 \\ \\ y - y'x - 3c_2x^4 \\ \\ y'= y"x+y'- 12c_2x^3 \\ \\ c_2= \dfrac{y"x}{12x^3} \\ \\ c_2= \dfrac{y"}{12x^2}[/tex]
∴
[tex]y = y'x- \dfrac{3x^4*y'' }{12x^2} \\ \\ \\ y = y'x - \dfrac{y" x^2}{4} \\ \\ \\ 4y+ y"x^2-4y'x = 0[/tex]
↓
[tex]F(x, y, y', y'') = 0[/tex]
factorize p^2+pq-pqr
Answer:
p(p+q-qr)
Step-by-step explanation:
p^2+pq-pqr
Factor out a p
p(p+q-qr)
Answer:
p(p+q-qr)
Step-by-step explanation:
p^2 +pq-pqr
= p(p+q-qr)
factorise 2x^2 -x-21
Answer:
(x + 3) × (2x - 7)
Step-by-step explanation:
2x² - x - 21
Write as a difference
2x² + 6x - 7x - 21
Factor the expressions
2x × (x + 3) - 7 (x + 3)
Factor the expression
(x +3) × (2x - 7)
Find the volume of the specified cone. Use 3.14 for Pi, and round your answer to the nearest whole number. Diameter = 5 cm, Height = 9 cm a. 59 cu. cm b. 25 cu. cm c. 38 cu. cm d. 19 cu. cm
Answer:
a
Step-by-step explanation:
r = 2.5 cm
V= 3.14[tex](2.5 cm)^{2}[/tex](9 cm)/3 = [tex]59 cm^{3}[/tex]
Answer:
a
Step-by-step explanation:
Help………………………!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:d
Step-by-step explanation:(2√7 +3√6) (5√2 +4√3)
To open the bracket, multiply the first rational number (2√7 ) with the two numbers in the other bracket and 3√6 with the other numbers in the other brackets.
2√7(5√2+4√3) + 3√6(5√2+4√3)
Multiply number with number and root with root
10√14 +8√21+15√12+12√18
Then look for the roots which have a perfect number and can be broken down. There is 12 and 18 which have perfect numbers.
10√14 +8√21+(15√4 x√3) +(12√9 x √2)
10√14 +8√21 +15 x 2 x√3 +12 x 3 x √2
10√14+8√21+30√3 +36√2 ans
To which set of numbers does the number –5 belong? Select all that apply. integers natural numbers rational numbers real numbers whole number.
Answer:
integers
rational numbers
real numbers
Step-by-step explanation:
i answered the question:)
Using number sets, it is found that the number -5 belongs to these following sets:
Integer numbers.Rational numbers.Real numbers.----------------------------------
Numbers are classified as:
Whole numbers: Set of numbers including all positive numbers and 0, so: {0,1,2,...}. This set is also called natural. Integer numbers: Number without decimals, that can be positive or negative, so: {...,-2,-1,0,1,2,....} Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern). Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339. Real numbers: Rational plus irrational.----------------------------------
-5 is a negative number, so it is integer.All integers are rational and real, and thus, -5 is integer, rational and real.A similar problem is given at https://brainly.com/question/10814303
Algebra 2 can anyone help??
Answer:
Step-by-step explanation:
cot θ=-9.68
cotθ is negative
so θ lies in 2nd or 4th quadrant.
tan θ=-1/9.68
θ=tan ^{-1}(-1/9.68)≈174.1°,354.1°
3.
sec θ=-9.13+5=-8.13
sec θ is negative so θ lies in 2nd or 3rd quadrant.
cos θ=(-1/8.13)
θ=cos^{-1}(-1/8.13)≈97.1°
Factorise 20x+25
thankful for the help
Answer:
5(4x + 5)
Step-by-step explanation:
Given
20x + 25 ← factor out the common factor 5 from each term
= 5(4x + 5)
Answer:
5(4x+5)
Step-by-step explanation:
divide both with the same number into smallest digit
eg: 5(4x+5)=20x+25
if 5x4=20 and 5x5=25
both can be divided by 5 to get smallest number(factorise it)
subtract the following integer in number line =5 from 3
Answer:
-2
Step-by-step explanation:
3-5= -2
Which of the following is divisible by all of the integers from 1 to 10?
A) 23x34
B) 34x45
C) 45x56
D) 56x67
E) 67x78
Answer:
B or C or A or E or D i dont know
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
The result of the multiplication must end in 0 so A, D nor E are the answer.
Consider B:
34 * 45
Neither of the numbers are divisible by 7 so it's not this one.
It's C because:
56 is divisible by 1, 2,4,7,8 and
45 is divisible by 3, 5, 9
The factors contain 2 and 3 so its also divisible by 2*3 = 6.
The product ends in 0 so its also divisible by 10.
Which of the following ribbon has the greatest cost per inch?
You didnt give the sizes of the ribbon so let me help you out. You have to divide the size by total cost, bringing you to the cost per one whatever unit you are using.
Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?
Write your answer as a decimal rounded to four decimal places.
Answer: Lester gets about 400 k - 700k in casino hiest
Step-by-step explanation:
Solve the inequality.
Answer:
the first one, v < 1 23/25
Step-by-step explanation:
multiply both sides by 6 and divide by 5
v < 48/25, or v < 1 23/25
Answer:
v < 1 23/25
Step-by-step explanation:
5/6 v < 8/5
Multiply each side by 6/5
6/5*5/6 v < 8/5*6/5
v < 48/25
Rewrite as a mixed number
v < 1 23/25
Find the surface area of polyhedra
Pls!! show how you got the surface area
Answer:
52.48
Step-by-step explanation:
find the cross sectional area which is the triangle
triangle = 1/2 x 8.2 x 6.4 = 26.24
then, use the area to multiply by the extended length of 2
26.24 x 2 = 52.48
How do I solve this?
A=bh/2
A=2/3ft*3/5ft/2
A=2/3×5/5*3/5×3/3/2
A=10/15*9/15/2
A=90÷15/2
A=6ft^2
Answer:
The area of triangle is 1/5 feet².
Step-by-step explanation:
You have to use area of triangle formula, A = 1/2×height×base. Then substitute the following values into the formula :
[tex]area = \frac{1}{2} \times height \times base[/tex]
Let height = 3/5,
Let base = 2/3,
[tex]area = \frac{1}{2} \times \frac{3}{5} \times \frac{2}{3} [/tex]
[tex]area = \frac{1}{2} \times \frac{1}{5} \times \frac{2}{1} [/tex]
[tex]area = \frac{1}{2} \times \frac{2}{5} [/tex]
[tex]area = \frac{1}{5} {feet}^{2} [/tex]
Find the value of x the triangle shown below
Answer:
[tex]82[/tex]
Step-by-step explanation:
[tex]24+74+x=180[/tex]
[tex]98+x=180[/tex]
[tex]x=180-98[/tex]
[tex]x=82[/tex]
Answer:
x =82
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees
24+74+x = 180
Combine like terms
98+x = 180
Subtract 98 from each side
98+x-98= 180-98
x =82
what is 98.5x13? estimated guess only
Answer:
Step-by-step explanation:
