A wooden beam is (3y2 + 7y+1) meters long. If a piece of length (y2 - 10) meters is cut off, express the length of the
remaining piece of beam as a polynomial in y.
Answer:
2y^2 +7y +11
Step-by-step explanation:
The remaining length is the difference between the original and the length cut off:
remaining = whole length - piece length
remaining = (3y^2 +7y +1) -(y^2 -10)
= 3y^2 +7y +1 -y^2 +10 = (3 -1)y^2 +7y +(1 +10)
remaining = 2y^2 +7y +11
Alyssa paints 3 walls blue. Each of the
walls is 8.3 feet tall and 7.5 feet wide.
Round the length and width to the
nearest whole number. Then estimate
the area that Alyssa will paint.
Answer:
192
Step-by-step explanation:
The length is 8.3 and the width is 7.5
8.3 to the nearest whole number is 8
7.5 to the nearest whole number is 8
8 x 8 = 64
64 x 3 = 192
The whole area of the wall that Alyssa painted is 192 ft²
What is area?The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.
Given that, Alyssa paints 3 walls blue. Each of the walls is 8.3 feet tall and 7.5 feet wide.
Since, the length is 8.3 and the width is 7.5
8.3 to the nearest whole number is 8
7.5 to the nearest whole number is 8
Therefore, area = length × width
= 8 x 8 = 64 ft²
Area of 3 walls =
64 x 3 = 192 ft²
Hence, the whole area of the wall that Alyssa painted is 192 ft²
For more references on area, click;
https://brainly.com/question/27683633
#SPJ2
plz help due soon
Aurelia buys a dress that costs $40.00. She pays 6% sales tax. How much does she pay for the dress with tax?
Answer:
D
Step-by-step explanation:
6% of 40 is 2.4, 40.00+ 2.40=42.40
Answer:
42.50
Step-by-step explanation:
40X1.06
42.40
a man earned £80.60 for an eight-hour day. how much would he earn at the same rate for a 38-hour week
Answer:
382.85
Step-by-step explanation:
hours. amount
8. 80.60
38. ??
=382.85
Help!!!! This is a triangle and I really don’t understand it :(
Answer: x is 3
Step-by-step explanation:
6x-5=4x+1
x = 3
what is 47- 24 (x+3)x
WILL MARK BRAINLEST IF CORRECT HELP ME OUT
Answer:
x = 12
Step-by-step explanation:
Equation: 0.52(x) + 0.72(4) = 0.57(x + 4)
0.52(x) + 0.72(4) = 0.57(x + 4) [tex]\longmapsto[/tex] Multiply
0.52x + 2.88 = 0.57x + 2.28 [tex]\longmapsto[/tex] Subtract 0.52x from both sides
2.88 = 0.05x + 2.28 [tex]\longmapsto[/tex] Subtract 2.28 from both sides
0.6 = 0.05x [tex]\longmapsto[/tex] Divide all sides by 0.05
x = 12
-Chetan K
please help me with this soon much appreciated.
Answer:
1 : 2
Step-by-step explanation:
this is a 30-60-90 triangle which is a special right triangle. the ratio of the sides is x: x*sqrt(3): 2x, in the order short leg: long leg: hypotenuse. so the ratio of the short leg to the hypotenuse is x:2x or 1:2
What is the missing reason in the proof? Statement Reason 1. m || n and p is a transversal 1. given 2. ∠2 ≅ ∠3 2. ver. ∠s theorem 3. m∠2 = m∠3 3. def. of congruent 4. ∠3 ≅ ∠7 4. corr. ∠s theorem 5. m∠3 = m∠7 5. def. of congruent 6. m∠2 = m∠7 6. ? corresponding angles theorem alternate interior angles theorem transitive property subtraction property
Answer:
See below for answer.
Step-by-step explanation:
m ∠3 = m∠ 7 If ║ then cor. ∠s are =
m ∠2 = m∠7 Transitive ∠2 = ∠3; ∠3 = ∠7; ∴∠2 = ∠7
The missing reason is : transitive property.
What is Transitive property?A transitive relation is defined as a homogeneous relation R over the set A, where the set contains the elements such as x, y and z, such that R relates x to y and y to z, then R also relates x to z.
As in statement 3 we have,
∠2 = ∠3
and in statement 5 we also have
∠3 = ∠7
So, by using transitive property we can write,
If a = b and b = c,
then a = c
Hence, m∠2 = m∠7 using transitive property.
Learn more about transitive property here:
https://brainly.com/question/2437149
#SPJ2
what the answer to 1024/32
Answer:
32
Step-by-step explanation:
B. Company P calculates the earnings of employee, E, for working h hours using the equation E = 8.25h.
Answer:
Step-by-step explanation:
Kent has paid a total of $589 For internet service. Each month of service cost $19. How many months, m, of internet service has Ken't paid for? Use the model.
Giving brainliest
Answer:
589/19=31 dollars a month
Step-by-step explanation:
Hope this helps!
Which of the following is NOT a perfect square trinomial?
Group of answer choices
^2+20−100
4^2−20+25
^2+18+81
16^2−24+9^2
Answer:
x^2+20−100 and 16^2−24+9^2
Step-by-step explanation:
Write the equation of the line with two given points
(-12, 14) and (6,-1)
Find the vertex and the axis of symmetry.
Answer:for the vertex I believe it is y-9 and x-2 for axis of symmetry
Step-by-step explanation:
Answer:
a. Downwards
b1. x intercept = (-4,0) (8,0)
b2. Y intercept (0,8)
c. Vertex (2,9)
d. Axis of symmetry 2
Step-by-step explanation:
A water hose has a flow rate of 12 gallons per minute. How many minutes will it take to fill up a pool that holds 30 cubic feet of water. One cubic foot equals 7.48 gallons. Round to the nearest minute.
Answer:
19 minutes
Step-by-step explanation:
30 ft³ = 224.4 Gallons
224.4 gallons / 12 gallons/min
18.7 min
round -- 19 minutes
Someone tell me what this is plz
Answer:
This is an equilateral triangle, which means all the sides are equal.
Hence, all three angles are the same.
[tex]3x=\frac{180}{3}[/tex]
[tex]3x=60[/tex]
Therefore,
[tex]x=20[/tex]
Answer:
20
Step-by-step explanation:
3x+3x+60= 180
6x= 180-60
6x= 120
Find the area of the following shape. please show me your work so i can understand how to do this.
Answer:
10
Step-by-step explanation:
count the full squares then add up the halfs and u get 10
Please solve correctly :)
Part C only!!!
Answer:
So, the average rate of change is 0.475.
Step-by-step explanation:
If n = 2, then f(n) = 8.82. If n = 6, then f(n) ≈ 10.72. Now, 10.72 – 8.82/ 6 – 2 = 1.9/ 4 = 0.475.
James deposited $575 into a bank account that earned 5.5% simple interest each year. No money was deposited into or withdrawn from the account.
How much money was in the account after 212 years?
Round your answer to the nearest cent.
Answer:
Answer:it's 654.06I just did the test
Step-by-step explanation:
A country has two political parties, the Demonstrators and the Repudiators. Suppose that the national senate consists of 100 members, 44 of which are Demonstrators and 56 of which are Repudiators. (a) How many ways are there to select a committee of 10 senate members with the same number of Demonstrators and Repudiators
what is the square root of25. To guys who steal my points
Determine the value of d when h=29 in the equation D=4h/5
Answer: 23.2
Step-by-step explanation:
D = 4h/5
D(29) = 4(29)/5
D(29) = 23.2
3 feet + 7 inches = ___ inches
Answer:
10
because when you plus 3+7 is 10
Simplify the following expression: (1 point)
2x − 6y + 3x2 + 7y − 14x
3x2 + 12x + y
3x2 − 12x − y
3x2 − 12x + y
3x2 − 12x − 13y
Answer:
[tex]⟼3x {}^{2} + 12 + y[/tex]
Step-by-step explanation:
[tex]Here,2x − 6y + 3x {}^{2} + 7y − 14x [/tex]
[tex] = 3x {}^{2} + 2x - 14x - 6y + 7y[/tex]
[tex] = 3x {}^{2} - 12x - 6y + 7y[/tex]
[tex] = 3x {}^{2} - 12x + y[/tex]
Hello there!
Combine Like Terms:
2x-6y+3x^2+7y-14x
-12x+y+3x^2
3x^2-12x+y
Hope this helps. you!
~Just a determined gal
#CarryOnLearning
Please mark brainliest; I would really appreciate that! :)
[tex]MysteriousNature :)[/tex]
Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
Answer: x = 55/2
Step-by-step explanation: (x)(2) (-3)(2) = 49 2x-6+6 = 49+6 2x/2 = 55/2 x = 55/2
I know that my answer isn't a choice for one of the values of x but that's the result that I got when I solved (x–3)2 = 49.
Harvey is studying the polynomial f(x) = (4x – 3)(x – 3)(x2 +5) and determines that the polynomial has four real roots. Do you agree or disagree with Harvey’s statement? Explain your reasoning.
A.yes because there are 4 roots
B.yes because complex solutions do not matter
C.yes because when I solve he gets 4 x intercepts
D.no because there are two complex solutions
Yes because when I solve he gets 4 x-intercepts. The x-intercept is a point where the y value is zero.
The degree of a polynomial always determines the number of roots such polynomial function will have;
Given the polynomial function studied by Harvey as g(x) = (4x – 3)(x – 3)(x2 +5)
Taking the product of the leading variables
g(x) = (4x – 3)(x – 3)(x2 +5)
g(x) = 4x(x) (x^2)
g(x) = 4x^4
Since the degree of the polynomial is 4, hence the polynomial has four real roots.
Learn more here: https://brainly.com/question/16821812
expression 5n + 2 can be used to find the total cost in dollars of bowling where n is the number of games bowled and 2 represents the cost of shoe rental. How much will it cost Vincent to bowl 3 games?
Answer:
$17
Step-by-step explanation:
n=3
5*3=15
15+2=17
someone please help me
Answer:
∡3 & ∡6 are same side interior angle.
∡4 & ∡6 are alternate interior angles.
∡2 & ∡8 are vertical angles.
∡1 & ∡5 are corresponding angles (because they are in the same spot).
∡1 & ∡3 are vertical angles (because they are the opposite angle of each other).
∡1 & ∡2 are supplementary angles (because they add up to 180°).
Geometry hw help please.
Answer:
6
Step-by-step explanation:
You can solve this using Pythagorean Theorem;
a² + b² = c²
c is always the hypotenuse or the longest length in the triangle which is always opposite to the forming 90° angle.
a and b values can be the other 2 legs, doesn’t matter which one is which
we are given;
a = 8
c = 10
a² + b² = c²
(8)² + b² = (10)²
64 + b² = 100
b² = 100 - 64
b² = 36
√b² = √36
b = 6
Therefore the answer = 6
Hope this helps!