The equation that could John solve to find w, the greatest width in centimeters he can use for the mosaic is option B: w(w + 2) = 48.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The mosaic to be formed is rectangular in shape.
Area of a rectangle = length x width
The length is longer than the width by 2,
So, length = w+2
Area of a rectangle = (w+2) x w
The correct equation is B: w(w + 2) = 48
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ1
Answer: B
Step-by-step explanation:
please help me find the HCF of this
Answer: a
Step-by-step explanation:
[tex]a^{2}=a \cdot a\\a^{2}+ab=a(a+b)[/tex]
Therefore, the HCF is a.
Answer:
a
Step-by-step explanation:
Factorizing both terms :
a² = a × aa² + ab = a × (a + b)The HCF of the terms is a.
a parallelogram has an area of 160 square meters and a height of 4 meter. what is the length of the base of the parallellogram
Answer:
40
Step-by-step explanation:
the formula for area of a parallelogram is a = bh
you know area (a) = 160 and height (h) = 4, so:
160 = 4 * b
divide both sides of this equation by 4,
b = 40
the base is 40 meters long
Subtract the following complex numbers:
(4+4i)-(13+17i)
OA. 9+21/
OB. -9+21/
OC. 9-13i
OD.-9-13i
We have been given (4 + 4i) - (13 + 17i) .after solving we get the correct option is A ) -9 - 13 i.
What are complex numbers?Complex numbers are those numbers that contain the imaginary and the real part.
We have been given (4 + 4i) - (13 + 17i) .
On removing the parenthesis
4 + 4 i - 13 - 17i.
On combine the real part and complex parts, we get
= 4 - 13 + 4i - 17 i.
= -9 - 13 i.
Therefore, The correct option is A ) -9 - 13 i.
Learn more about cube root of complex numbers here:
https://brainly.com/question/16048106
#SPJ1
simplify
5cat + 3act - 6tac
Answer:
the correct answer is 2 act
Step-by-step explanation:
there is same base (act)
then 5+3=8
and 8-6 = 2act
The cost price of a radio is #1800.If it is to be sold again at a loss of 15%,how much would the customer pay for it?
Pls I need your help it is urgent
Answer:
15/100*1800=15*1800/100=15*18=270
Step-by-step explanation:
1800-270=1530 therefore answer is 1530
Can you solve this question and explain it for me? Thank you
Answer:
This is the answer to your question
Iliana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3?
3 p minus 2; when p = 3 the number of plants is 7
3 p + 2; when p = 3 the number of plants is 11
p cubed minus 2; when p = 3 the number of plants is 25
p cubed + 2; when p = 3 the number of plants is 29
Total number of plants is p³ +2 ; when p = 3 the number of plants is 29 , Option D is the right answer.
What is an Equation ?Equation is mathematical statement formed when two algebraic expressions are equated using an equal sign.
It is given that
Let p represent the original number of plants in her garden.
then total number of plants in her garden = p³ +2
the total number of plants if p = 3 is
=3³ +2
= 29
p³ +2 ; when p = 3 the number of plants is 29 , Option D is the right answer.
To know more about Equation
https://brainly.com/question/10413253
#SPJ1
A box is to be constructed with a rectangular base and a height of 5 cm. If the rectangular base must have a perimeter of 28 cm, which quadratic equation best models the volume of the box?.
Answer:
Volume = 7WH - (1/2)W^2H
Step-by-step explanation:
The base consists of the length (L) and the width (W). It is rectangular, so the perimeter would be the sum of all four sides:
Perimeter = L + W + L +W,
or Perimeter = 2L + 2W
We are told that 2L + 2W = 28cm [The perimeter is 28 cm]
------
The volume of the box is given by:
Volume = L*W*H [Length x Width x Height]
=====
Let's rearrange the first equation and use it in the second:
2L + 2W = 28cm
2L = 28cm - 2W
L = (28cm - 2W)/2
L = (14 - W)
Now use this definition of L (14 - W) in the second equation:
Volume = L*W*H
Volume = (14 - W)/2)*W*H
Volume = (7-(1/2)W)*W*H
Volume = 7WH - (1/2)W^2H
This can also be written as: Volume = WH(7 - (1/2)W)
batman wants to wrap a perestn in a box for robin. the top and the bottom of the box is 10 cm. by 5 cm. the sides are both 3 cm by 2 cm. and the front and back are 8 cm. by 2 cm. hhow muvh wrapping papper will atman need to wrap the present?
Answer:
15
Step-by-step explanation:
Solve for [x]. The polygons in each
2x-20
16
16
8
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:x = 16 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
If two polygons are similar, their corresponding sides ratios will be equal to each other.
[tex]\qquad \tt \rightarrow \: \cfrac{8}{16} = \cfrac{2x - 20}{24} [/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{1}{2} = \cfrac{2x - 20}{24} [/tex]
[tex]\qquad \tt \rightarrow \: 2x - 20 = \cfrac{24}{2} [/tex]
[tex]\qquad \tt \rightarrow \: 2x = 12 + 20[/tex]
[tex]\qquad \tt \rightarrow \: 2x = 32[/tex]
[tex]\qquad \tt \rightarrow \: x = 16[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Let (-7, 2) be a point on the terminal side of 0.
Find the exact values of sin0, sec 0, and tan 0.
By applying the definitions of trigonometric functions, the exact values of the sine, secant and tangent of the point on the terminal side are [tex]\sin \theta = \frac{2}{\sqrt{53}}[/tex], [tex]\sec \theta = -\frac{\sqrt{53}}{7}[/tex] and [tex]\tan \theta = -\frac{2}{7}[/tex].
How to determine the exact values
In this question we need to find the exact values of three trigonometric functions associated with the terminal side of an angle. The following definitions are used:
Sine
[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (1)
Secant
[tex]\sec \theta = \frac{\sqrt{x^{2}+y^{2}}}{x}[/tex] (2)
Tangent
[tex]\tan \theta = \frac{y}{x}[/tex] (3)
If we know that x = - 7 and y = 2, then the exact values of the three trigonometric functions:
Sine
[tex]\sin \theta = \frac{2}{\sqrt{53}}[/tex]
Secant
[tex]\sec \theta = -\frac{\sqrt{53}}{7}[/tex]
Tangent
[tex]\tan \theta = -\frac{2}{7}[/tex]
By applying the definitions of trigonometric functions, the exact values of the sine, secant and tangent of the point on the terminal side are [tex]\sin \theta = \frac{2}{\sqrt{53}}[/tex], [tex]\sec \theta = -\frac{\sqrt{53}}{7}[/tex] and [tex]\tan \theta = -\frac{2}{7}[/tex].
Remark
The statement reports typing errors, correct form is shown below:
Let (x, y) = (- 7, 2) be a point on the terminal side of θ. Find the exact value of sin θ, sec θ and tan θ.
To learn more on trigonometric functions: https://brainly.com/question/6904750
#SPJ1
The __________ is the process of posing and answering research questions using controlled techniques that include systematic, orderly observation and the collection of data.
Answer:
Scientific Method:
Step-by-step explanation:
Scientific method is the set of basic rules that must be followed for the production of knowledge that has the rigor of science, that is, it is a method used for research and verification of a certain content. For several authors, the scientific method is the logic applied to science.
i hope this
What are the values of x and y for this equation?
(x+yi)+(8-5i)=4+3i
Step-by-step explanation:
ATTACHED IS THE SOLUTION. Don't hesitate to ask where you don't understand.Please help! Simplify the following expression by combining like-terms.
Step-by-step explanation:
[tex] = 4x - 8y + 6 {x}^{2} + 3x - 5y[/tex]
[tex] = 6 {x}^{2} + (4x + 3x) + ( - 8y - 5y)[/tex]
[tex] = 6 {x}^{2} + 7x - 13y[/tex]
The answer is B.
Answer:
b.) 6x² + 7x - 13y
Explanation:
Given Expression
= 4x - 8y + 6x² + 3x - 5y
collect like terms
= 6x² + 4x + 3x -8y - 5y
combine similar terms
= 6x² + 7x - 13y
Question 8) Identify the volume of the composite figure. Round to the nearest tenth.
asap.... math test....must show work
Answer:
860.71m³
Step-by-step explanation:
V(cuboid) = bhd
V(cylinder) = h(pi)r²
V(shape) = cuboid - cylinder
cuboid = 10 x 10 x 12
cuboid = 1200m³
cylinder = 12(pi)3²
cylinder = 12(pi)9
cylinder = 339.292m³
shape = 1200 - 339.292
shape = 860.71m³
Answer:
860.9 -ish
Step-by-step explanation:
To find that volume we need to find the volume of the rectangular prism and subtract the volume of the cylinder.
First, lets find the volume of the prism.
V=lwh
V=10*10*12
V=1200
Now, find the volume of the cylinder.
V=Pie*Rsquared*h
V=3.14*3squared*12
V is about 339.12
Now do
1200-339.12=860.88
So it is about 860.9
ASAP!!! What is the least common denominator of the expression below?
Answer:
D
Step-by-step explanation:
factor the denominators of both fractions
x² - 16 ← is a difference of squares
= (x - 4)(x + 4)
8x + 2x² ← factor out 2x from each term
= 2x(4 + x) = 2x(x + 4)
then expression is
[tex]\frac{x^2}{(x-4)(x+4)}[/tex] + [tex]\frac{9x}{2x(x+4)}[/tex]
with LCD of 2x(x + 4)(x - 4)
Question 4) Identify the surface area of the composite figure.
4 4 in. FRIZERSLI 15 in. 4 in. 4 in. THE # # ill 7 in. 10 in. Question 4 ) Identify the surface area of the composite figure . 4 4 in . FRIZERSLI 15 in . 4 in . 4 in . THE # # ill 7 in . 10 in .
The surface area of the composite figure is given by 730 sq.in
What are Composites ?Composites are solid figures made up of basic shapes like rectangle , square and even of three dimensional figures like cube , cuboid etc.
It is given in the question to determine the area of the composite figure
Area of Cube is
Area = 6 * side²
Area = 6 * 4² = 96 sq.in
The surface area of the cuboid is equal to
Sum of surface area of all the sides
As the opposite sides are same
7x10x2 + 15x10x2 + 7x15x2
650 sq.in
As the surface area of the base of the cube is counted twice
Therefore it will subtracted from the total
96 + 650 - 4*4
=730 sq.in
Therefore the surface area of the composite figure is given by 730 sq.in
To know more about Composites
https://brainly.com/question/13808296
#SPJ1
1. Due Now: Brittany's Builders has 20 leftover bricks. Some are red and some are white. For
each white brick, Brittany has 3 red bricks. How many of the bricks are red and how
many are white?
88
Not sure how to explain
its 5 white and 15 red
pls help with age problem.
Answer:
John is 19 and his sister is 23.
Step-by-step explanation:
See attached image.
Explain how to find the constant of proportionality for the ratio of robins to cardinals.
The constant of proportionality will be 3.
The complete question ks given below:-
Explain how to find the constant of proportionality for the ratio of robins to cardinals. A 2-column table with 4 rows. Column1 is labelled Cardinals with entries 5, 6, 9, and 10. Column 2 is labelled Robins with entries 15, 18, 27, and 30.
What is the ratio?In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
Given data will be arranged as follows:-
robins 15, 18, 27, 30.
cardinals 5, 6, 9, 10.
The constant of proportionality will be calculated by taking a ratio of the data:-
[tex]\dfrac{Cardinals}{Robins} =\dfrac{15}{5}=\dfrac{18}{6}=\dfrac{27}{9}=\dfrac{30}{10}=3[/tex]
Therefore the constant of proportionality will be 3.
To know more about ratios follow
https://brainly.com/question/2328454
#SPJ1
which number produces a rational number when added to 0.53
Answer:
5/7 or D
Step-by-step explanation:
i just know
halp
What is the relationship between \blueD{\angle a}∠astart color #11accd, angle, a, end color #11accd and \greenD{\angle b}∠bstart color #1fab54, angle, b, end color #1fab54?
Answer:
D. None of the above.
Step-by-step explanation:
Supplementary angles must add up to 180 degrees.
Complementary angles must add up to 90 degrees.
Vertical angles are opposite of each other.
Hope this helps!
If not, I am sorry.
Bronze is a mixture of copper and tin.
The copper and tin are in the ratio 9:1.
a) How much tin is there in a bronze bracelet
weighing 260 grams?
6
Answer:
26 gm
Step-by-step explanation:
Tin is 1 out of (9+1) = 1/10 th
1/10th * 260 gm = 26 gm
I need more help I'm lazy (img included)
Answer:
B)20
Step-by-step explanation:
convert 900in to ft=75
1500/75=20boxes
The first number in a pattern is 186. The pattern follows the rule subtract 17. What are the next three numbers?
Answer:
169, 152, 135
Step-by-step explanation:
186-17=169
169-17=152
152-17=135
Susie plans to run 2 miles per day the first week and then increase the daily distance by a half a mile each of the following weeks. How long before the marathon should she start?
There are many ways to approach this problem. Some include, make a table, write a function, create ordered pairs...
1. Identify and label the variables.
2.Make a table for up to 6 weeks to see a pattern.
3. Write an equation to represent the nth term of the sequence.
4. If the pattern continues during which week will she run 10 miles per day?
5. Is it reasonable to think that this pattern will continue indefinitely, explain?
6. How long before the marathon should she start?
PLEASE ANSWER ALL QUESTIONS IF YOU CAN PLEASEE
Due to length restrictions, we kindly invite to see the explanation below to know the answer with respect to each component of the question concerning linear equations.
How to determine a linear equation describing the daily distance of a runner
In this question we need to derive an expression of the daily distance as a function of time. Now we proceed to complete the components:
Linear equations have an independent variable (t - time) and a dependent variable (x - daily distance).We notice that the daily distance increases linearly in time, then then we have the following pattern:To learn more on linear equation: https://brainly.com/question/11897796
#SPJ1
please help me i need help quick
Answer:
x = -2
y = -6
Step-by-step explanation:
Equating the equations :
x - 4 = 4x + 23x = -6x = -2y = -2 - 4y = -6Equate both
x-4=4x+2-4-2=4x-x-6=3xx=-2And
y=-2-4=-6Graph attached
x2) Triangle ABC is an isosceles triangle with BA = BC 72° D lies on AC ABD is an isosceles triangle with AB = AD Angle ABD = 72° 36 A D Show that triangle BCD is isosceles. You must give a reason for each stage of your working.
An isosceles triangle is one with two equal-length sides. The ΔBCD is an isosceles triangle.
What is an isosceles triangle?
An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.
Given ΔABC is an isosceles triangle with side AB = AC. Therefore, as per the base angle theorem,
∠A = ∠C = 36°
Also, in ΔABC, the sum of the angles can be written as,
∠ABC + ∠BAC + ∠BCA = 180°
∠ABC + 36° + 36° = 180°
∠ABC = 108°
For ∠ABC we can write,
∠ABC = ∠ABD + ∠CBD
108° = 72° + ∠CBD
∠CBD = 36°
Now, in ΔBCD, the measure of ∠CBD and ∠DCB both equals to 36°. Therefore, we can write, that the ΔBCD is an isosceles triangle.
Learn more about Isosceles Triangle:
https://brainly.com/question/2456591
#SPJ1
Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3?
3 p minus 2; when p = 3 the number of plants is 7
3 p + 2; when p = 3 the number of plants is 11
p cubed minus 2; when p = 3 the number of plants is 25
p cubed + 2; when p = 3 the number of plants is 29
The correct answer is option D which is p ³+ 2; when p = 3 the number of plants is 29.
The complete question is given below:-
liana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3? 3 p minus 2; when p = 3 the number of plants is 7 3 p + 2; when p = 3 the number of plants is 11 p cubed minus 2; when p = 3 the number of plants is 25 p cubed + 2; when p = 3 the number of plants is 29
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given expression is liana cubed the number of flowering plants in her garden, then added 2 vegetable plants.
If she cubed the number of the plants will be:- P³
Now she added two vegetable plants:- 2
Then the equation will be: - p³ + 2. Now we will put the value of p = 3 in the equation.
Total number of the plants = ( 3 )³ + 2 = 27 + 2 = 29
Therefore the correct answer is option D which is p³+ 2; when p = 3 the number of plants is 29.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ1
How is a perfect square trinomial similar to a perfect square number? Is it possible to have a perfect square binomial? Explain.
Yes, it is possible to have a perfect square binomial. The detailed information is given below.
What is the perfect square binomial to trinomial?In trinomial, there are three terms and in binomial, there are two terms.
Let the perfect square of the binomial will be given as
⇒ (a + b)²
There are only two terms a and b and has a square on it. So the expression (a + b)² is a perfect square binomial.
Open the bracket, then we have
(a + b)² = a² + b² + 2ab
There are only three terms a², 2ab and b² and derived from a perfect binomial square. So the expression a² + b² + 2ab is a perfect square trinomial.
More about the perfect square binomial to trinomial link is given below.
https://brainly.com/question/14396504
#SPJ1
